text: /*
   *                               POK header
   * 
   * The following file is a part of the POK project. Any modification should
   * made according to the POK licence. You CANNOT use this file or a part of
   * this file is this part of a file for your own project
   *
   * For more information on the POK licence, please see our LICENCE FILE
   *
   * Please follow the coding guidelines described in doc/CODING_GUIDELINES
   *
   *                                      Copyright (c) 2007-2009 POK team 
   *
   * Created by julien on Fri Jan 30 14:41:34 2009 
   */
  
  /* e_lgammaf_r.c -- float version of e_lgamma_r.c.
   * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
   */
  
  /*
   * ====================================================
   * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
   *
   * Developed at SunPro, a Sun Microsystems, Inc. business.
   * Permission to use, copy, modify, and distribute this
   * software is freely granted, provided that this notice
   * is preserved.
   * ====================================================
   */
  
  #ifdef POK_NEEDS_LIBMATH
  
  #include <libm.h>
  #include "math_private.h"
  
  static const float
  two23=  8.3886080000e+06, /* 0x4b000000 */
  half=  5.0000000000e-01, /* 0x3f000000 */
  one =  1.0000000000e+00, /* 0x3f800000 */
  pi  =  3.1415927410e+00, /* 0x40490fdb */
  a0  =  7.7215664089e-02, /* 0x3d9e233f */
  a1  =  3.2246702909e-01, /* 0x3ea51a66 */
  a2  =  6.7352302372e-02, /* 0x3d89f001 */
  a3  =  2.0580807701e-02, /* 0x3ca89915 */
  a4  =  7.3855509982e-03, /* 0x3bf2027e */
  a5  =  2.8905137442e-03, /* 0x3b3d6ec6 */
  a6  =  1.1927076848e-03, /* 0x3a9c54a1 */
  a7  =  5.1006977446e-04, /* 0x3a05b634 */
  a8  =  2.2086278477e-04, /* 0x39679767 */
  a9  =  1.0801156895e-04, /* 0x38e28445 */
  a10 =  2.5214456400e-05, /* 0x37d383a2 */
  a11 =  4.4864096708e-05, /* 0x383c2c75 */
  tc  =  1.4616321325e+00, /* 0x3fbb16c3 */
  tf  = -1.2148628384e-01, /* 0xbdf8cdcd */
  /* tt = -(tail of tf) */
  tt  =  6.6971006518e-09, /* 0x31e61c52 */
  t0  =  4.8383611441e-01, /* 0x3ef7b95e */
  t1  = -1.4758771658e-01, /* 0xbe17213c */
  t2  =  6.4624942839e-02, /* 0x3d845a15 */
  t3  = -3.2788541168e-02, /* 0xbd064d47 */
  t4  =  1.7970675603e-02, /* 0x3c93373d */
  t5  = -1.0314224288e-02, /* 0xbc28fcfe */
  t6  =  6.1005386524e-03, /* 0x3bc7e707 */
  t7  = -3.6845202558e-03, /* 0xbb7177fe */
  t8  =  2.2596477065e-03, /* 0x3b141699 */
  t9  = -1.4034647029e-03, /* 0xbab7f476 */
  t10 =  8.8108185446e-04, /* 0x3a66f867 */
  t11 = -5.3859531181e-04, /* 0xba0d3085 */
  t12 =  3.1563205994e-04, /* 0x39a57b6b */
  t13 = -3.1275415677e-04, /* 0xb9a3f927 */
  t14 =  3.3552918467e-04, /* 0x39afe9f7 */
  u0  = -7.7215664089e-02, /* 0xbd9e233f */
  u1  =  6.3282704353e-01, /* 0x3f2200f4 */
  u2  =  1.4549225569e+00, /* 0x3fba3ae7 */
  u3  =  9.7771751881e-01, /* 0x3f7a4bb2 */
  u4  =  2.2896373272e-01, /* 0x3e6a7578 */
  u5  =  1.3381091878e-02, /* 0x3c5b3c5e */
  v1  =  2.4559779167e+00, /* 0x401d2ebe */
  v2  =  2.1284897327e+00, /* 0x4008392d */
  v3  =  7.6928514242e-01, /* 0x3f44efdf */
  v4  =  1.0422264785e-01, /* 0x3dd572af */
  v5  =  3.2170924824e-03, /* 0x3b52d5db */
  s0  = -7.7215664089e-02, /* 0xbd9e233f */
  s1  =  2.1498242021e-01, /* 0x3e5c245a */
  s2  =  3.2577878237e-01, /* 0x3ea6cc7a */
  s3  =  1.4635047317e-01, /* 0x3e15dce6 */
  s4  =  2.6642270386e-02, /* 0x3cda40e4 */
  s5  =  1.8402845599e-03, /* 0x3af135b4 */
  s6  =  3.1947532989e-05, /* 0x3805ff67 */
  r1  =  1.3920053244e+00, /* 0x3fb22d3b */
  r2  =  7.2193557024e-01, /* 0x3f38d0c5 */
  r3  =  1.7193385959e-01, /* 0x3e300f6e */
  r4  =  1.8645919859e-02, /* 0x3c98bf54 */
  r5  =  7.7794247773e-04, /* 0x3a4beed6 */
  r6  =  7.3266842264e-06, /* 0x36f5d7bd */
  w0  =  4.1893854737e-01, /* 0x3ed67f1d */
  w1  =  8.3333335817e-02, /* 0x3daaaaab */
  w2  = -2.7777778450e-03, /* 0xbb360b61 */
  w3  =  7.9365057172e-04, /* 0x3a500cfd */
  w4  = -5.9518753551e-04, /* 0xba1c065c */
  w5  =  8.3633989561e-04, /* 0x3a5b3dd2 */
  w6  = -1.6309292987e-03; /* 0xbad5c4e8 */
  
  static const float zero=  0.0000000000e+00;
  
  static float
  sin_pif(float x)
  {
  	float y,z;
  	int n,ix;
  
  	GET_FLOAT_WORD(ix,x);
  	ix &= 0x7fffffff;
  
  	if(ix<0x3e800000) return __kernel_sinf(pi*x,zero,0);
  	y = -x;		/* x is assume negative */
  
      /*
       * argument reduction, make sure inexact flag not raised if input
       * is an integer
       */
  	z = floorf(y);
  	if(z!=y) {				/* inexact anyway */
  	    y  *= (float)0.5;
  	    y   = (float)2.0*(y - floorf(y));	/* y = |x| mod 2.0 */
  	    n   = (int) (y*(float)4.0);
  	} else {
              if(ix>=0x4b800000) {
                  y = zero; n = 0;                 /* y must be even */
              } else {
                  if(ix<0x4b000000) z = y+two23;	/* exact */
  		GET_FLOAT_WORD(n,z);
  		n &= 1;
                  y  = n;
                  n<<= 2;
              }
          }
  	switch (n) {
  	    case 0:   y =  __kernel_sinf(pi*y,zero,0); break;
  	    case 1:
  	    case 2:   y =  __kernel_cosf(pi*((float)0.5-y),zero); break;
  	    case 3:
  	    case 4:   y =  __kernel_sinf(pi*(one-y),zero,0); break;
  	    case 5:
  	    case 6:   y = -__kernel_cosf(pi*(y-(float)1.5),zero); break;
  	    default:  y =  __kernel_sinf(pi*(y-(float)2.0),zero,0); break;
  	    }
  	return -y;
  }
  
  
  float
  __ieee754_lgammaf_r(float x, int *signgamp)
  {
  	float t,y,z,nadj,p,p1,p2,p3,q,r,w;
  	int i,hx,ix;
  
  	nadj = 0;
  	GET_FLOAT_WORD(hx,x);
  
      /* purge off +-inf, NaN, +-0, and negative arguments */
  	*signgamp = 1;
  	ix = hx&0x7fffffff;
  	if(ix>=0x7f800000) return x*x;
  	if(ix==0) return one/zero;
  	if(ix<0x1c800000) {	/* |x|<2**-70, return -log(|x|) */
  	    if(hx<0) {
  	        *signgamp = -1;
  	        return -__ieee754_logf(-x);
  	    } else return -__ieee754_logf(x);
  	}
  	if(hx<0) {
  	    if(ix>=0x4b000000) 	/* |x|>=2**23, must be -integer */
  		return one/zero;
  	    t = sin_pif(x);
  	    if(t==zero) return one/zero; /* -integer */
  	    nadj = __ieee754_logf(pi/fabsf(t*x));
  	    if(t<zero) *signgamp = -1;
  	    x = -x;
  	}
  
      /* purge off 1 and 2 */
  	if (ix==0x3f800000||ix==0x40000000) r = 0;
      /* for x < 2.0 */
  	else if(ix<0x40000000) {
  	    if(ix<=0x3f666666) { 	/* lgamma(x) = lgamma(x+1)-log(x) */
  		r = -__ieee754_logf(x);
  		if(ix>=0x3f3b4a20) {y = one-x; i= 0;}
  		else if(ix>=0x3e6d3308) {y= x-(tc-one); i=1;}
  	  	else {y = x; i=2;}
  	    } else {
  	  	r = zero;
  	        if(ix>=0x3fdda618) {y=(float)2.0-x;i=0;} /* [1.7316,2] */
  	        else if(ix>=0x3F9da620) {y=x-tc;i=1;} /* [1.23,1.73] */
  		else {y=x-one;i=2;}
  	    }
  	    switch(i) {
  	      case 0:
  		z = y*y;
  		p1 = a0+z*(a2+z*(a4+z*(a6+z*(a8+z*a10))));
  		p2 = z*(a1+z*(a3+z*(a5+z*(a7+z*(a9+z*a11)))));
  		p  = y*p1+p2;
  		r  += (p-(float)0.5*y); break;
  	      case 1:
  		z = y*y;
  		w = z*y;
  		p1 = t0+w*(t3+w*(t6+w*(t9 +w*t12)));	/* parallel comp */
  		p2 = t1+w*(t4+w*(t7+w*(t10+w*t13)));
  		p3 = t2+w*(t5+w*(t8+w*(t11+w*t14)));
  		p  = z*p1-(tt-w*(p2+y*p3));
  		r += (tf + p); break;
  	      case 2:
  		p1 = y*(u0+y*(u1+y*(u2+y*(u3+y*(u4+y*u5)))));
  		p2 = one+y*(v1+y*(v2+y*(v3+y*(v4+y*v5))));
  		r += (-(float)0.5*y + p1/p2);
  	    }
  	}
  	else if(ix<0x41000000) { 			/* x < 8.0 */
  	    i = (int)x;
  	    t = zero;
  	    y = x-(float)i;
  	    p = y*(s0+y*(s1+y*(s2+y*(s3+y*(s4+y*(s5+y*s6))))));
  	    q = one+y*(r1+y*(r2+y*(r3+y*(r4+y*(r5+y*r6)))));
  	    r = half*y+p/q;
  	    z = one;	/* lgamma(1+s) = log(s) + lgamma(s) */
  	    switch(i) {
  	    case 7: z *= (y+(float)6.0);	/* FALLTHRU */
  	    case 6: z *= (y+(float)5.0);	/* FALLTHRU */
  	    case 5: z *= (y+(float)4.0);	/* FALLTHRU */
  	    case 4: z *= (y+(float)3.0);	/* FALLTHRU */
  	    case 3: z *= (y+(float)2.0);	/* FALLTHRU */
  		    r += __ieee754_logf(z); break;
  	    }
      /* 8.0 <= x < 2**58 */
  	} else if (ix < 0x5c800000) {
  	    t = __ieee754_logf(x);
  	    z = one/x;
  	    y = z*z;
  	    w = w0+z*(w1+y*(w2+y*(w3+y*(w4+y*(w5+y*w6)))));
  	    r = (x-half)*(t-one)+w;
  	} else
      /* 2**58 <= x <= inf */
  	    r =  x*(__ieee754_logf(x)-one);
  	if(hx<0) r = nadj - r;
  	return r;
  }
  
  #endif
  
  