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import os
from sympy.functions.elementary.trigonometric import (cos, sin)
from sympy.external import import_module
from sympy.testing.pytest import skip
from sympy.parsing.autolev import parse_autolev
antlr4 = import_module("antlr4")
if not antlr4:
disabled = True
FILE_DIR = os.path.dirname(
os.path.dirname(os.path.abspath(os.path.realpath(__file__))))
def _test_examples(in_filename, out_filename, test_name=""):
in_file_path = os.path.join(FILE_DIR, 'autolev', 'test-examples',
in_filename)
correct_file_path = os.path.join(FILE_DIR, 'autolev', 'test-examples',
out_filename)
with open(in_file_path) as f:
generated_code = parse_autolev(f, include_numeric=True)
with open(correct_file_path) as f:
for idx, line1 in enumerate(f):
if line1.startswith("#"):
break
try:
line2 = generated_code.split('\n')[idx]
assert line1.rstrip() == line2.rstrip()
except Exception:
msg = 'mismatch in ' + test_name + ' in line no: {0}'
raise AssertionError(msg.format(idx+1))
def test_rule_tests():
l = ["ruletest1", "ruletest2", "ruletest3", "ruletest4", "ruletest5",
"ruletest6", "ruletest7", "ruletest8", "ruletest9", "ruletest10",
"ruletest11", "ruletest12"]
for i in l:
in_filepath = i + ".al"
out_filepath = i + ".py"
_test_examples(in_filepath, out_filepath, i)
def test_pydy_examples():
l = ["mass_spring_damper", "chaos_pendulum", "double_pendulum",
"non_min_pendulum"]
for i in l:
in_filepath = os.path.join("pydy-example-repo", i + ".al")
out_filepath = os.path.join("pydy-example-repo", i + ".py")
_test_examples(in_filepath, out_filepath, i)
def test_autolev_tutorial():
dir_path = os.path.join(FILE_DIR, 'autolev', 'test-examples',
'autolev-tutorial')
if os.path.isdir(dir_path):
l = ["tutor1", "tutor2", "tutor3", "tutor4", "tutor5", "tutor6",
"tutor7"]
for i in l:
in_filepath = os.path.join("autolev-tutorial", i + ".al")
out_filepath = os.path.join("autolev-tutorial", i + ".py")
_test_examples(in_filepath, out_filepath, i)
def test_dynamics_online():
dir_path = os.path.join(FILE_DIR, 'autolev', 'test-examples',
'dynamics-online')
if os.path.isdir(dir_path):
ch1 = ["1-4", "1-5", "1-6", "1-7", "1-8", "1-9_1", "1-9_2", "1-9_3"]
ch2 = ["2-1", "2-2", "2-3", "2-4", "2-5", "2-6", "2-7", "2-8", "2-9",
"circular"]
ch3 = ["3-1_1", "3-1_2", "3-2_1", "3-2_2", "3-2_3", "3-2_4", "3-2_5",
"3-3"]
ch4 = ["4-1_1", "4-2_1", "4-4_1", "4-4_2", "4-5_1", "4-5_2"]
chapters = [(ch1, "ch1"), (ch2, "ch2"), (ch3, "ch3"), (ch4, "ch4")]
for ch, name in chapters:
for i in ch:
in_filepath = os.path.join("dynamics-online", name, i + ".al")
out_filepath = os.path.join("dynamics-online", name, i + ".py")
_test_examples(in_filepath, out_filepath, i)
def test_output_01():
"""Autolev example calculates the position, velocity, and acceleration of a
point and expresses in a single reference frame::
(1) FRAMES C,D,F
(2) VARIABLES FD'',DC''
(3) CONSTANTS R,L
(4) POINTS O,E
(5) SIMPROT(F,D,1,FD)
-> (6) F_D = [1, 0, 0; 0, COS(FD), -SIN(FD); 0, SIN(FD), COS(FD)]
(7) SIMPROT(D,C,2,DC)
-> (8) D_C = [COS(DC), 0, SIN(DC); 0, 1, 0; -SIN(DC), 0, COS(DC)]
(9) W_C_F> = EXPRESS(W_C_F>, F)
-> (10) W_C_F> = FD'*F1> + COS(FD)*DC'*F2> + SIN(FD)*DC'*F3>
(11) P_O_E>=R*D2>-L*C1>
(12) P_O_E>=EXPRESS(P_O_E>, D)
-> (13) P_O_E> = -L*COS(DC)*D1> + R*D2> + L*SIN(DC)*D3>
(14) V_E_F>=EXPRESS(DT(P_O_E>,F),D)
-> (15) V_E_F> = L*SIN(DC)*DC'*D1> - L*SIN(DC)*FD'*D2> + (R*FD'+L*COS(DC)*DC')*D3>
(16) A_E_F>=EXPRESS(DT(V_E_F>,F),D)
-> (17) A_E_F> = L*(COS(DC)*DC'^2+SIN(DC)*DC'')*D1> + (-R*FD'^2-2*L*COS(DC)*DC'*FD'-L*SIN(DC)*FD'')*D2> + (R*FD''+L*COS(DC)*DC''-L*SIN(DC)*DC'^2-L*SIN(DC)*FD'^2)*D3>
"""
if not antlr4:
skip('Test skipped: antlr4 is not installed.')
autolev_input = """\
FRAMES C,D,F
VARIABLES FD'',DC''
CONSTANTS R,L
POINTS O,E
SIMPROT(F,D,1,FD)
SIMPROT(D,C,2,DC)
W_C_F>=EXPRESS(W_C_F>,F)
P_O_E>=R*D2>-L*C1>
P_O_E>=EXPRESS(P_O_E>,D)
V_E_F>=EXPRESS(DT(P_O_E>,F),D)
A_E_F>=EXPRESS(DT(V_E_F>,F),D)\
"""
sympy_input = parse_autolev(autolev_input)
g = {}
l = {}
exec(sympy_input, g, l)
w_c_f = l['frame_c'].ang_vel_in(l['frame_f'])
# P_O_E> means "the position of point E wrt to point O"
p_o_e = l['point_e'].pos_from(l['point_o'])
v_e_f = l['point_e'].vel(l['frame_f'])
a_e_f = l['point_e'].acc(l['frame_f'])
# NOTE : The Autolev outputs above were manually transformed into
# equivalent SymPy physics vector expressions. Would be nice to automate
# this transformation.
expected_w_c_f = (l['fd'].diff()*l['frame_f'].x +
cos(l['fd'])*l['dc'].diff()*l['frame_f'].y +
sin(l['fd'])*l['dc'].diff()*l['frame_f'].z)
assert (w_c_f - expected_w_c_f).simplify() == 0
expected_p_o_e = (-l['l']*cos(l['dc'])*l['frame_d'].x +
l['r']*l['frame_d'].y +
l['l']*sin(l['dc'])*l['frame_d'].z)
assert (p_o_e - expected_p_o_e).simplify() == 0
expected_v_e_f = (l['l']*sin(l['dc'])*l['dc'].diff()*l['frame_d'].x -
l['l']*sin(l['dc'])*l['fd'].diff()*l['frame_d'].y +
(l['r']*l['fd'].diff() +
l['l']*cos(l['dc'])*l['dc'].diff())*l['frame_d'].z)
assert (v_e_f - expected_v_e_f).simplify() == 0
expected_a_e_f = (l['l']*(cos(l['dc'])*l['dc'].diff()**2 +
sin(l['dc'])*l['dc'].diff().diff())*l['frame_d'].x +
(-l['r']*l['fd'].diff()**2 -
2*l['l']*cos(l['dc'])*l['dc'].diff()*l['fd'].diff() -
l['l']*sin(l['dc'])*l['fd'].diff().diff())*l['frame_d'].y +
(l['r']*l['fd'].diff().diff() +
l['l']*cos(l['dc'])*l['dc'].diff().diff() -
l['l']*sin(l['dc'])*l['dc'].diff()**2 -
l['l']*sin(l['dc'])*l['fd'].diff()**2)*l['frame_d'].z)
assert (a_e_f - expected_a_e_f).simplify() == 0
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