[babl] babl: remove inlined implementation of powf



commit f76ff6771cac7730c9f78e7e94e587010ac1eda6
Author: Øyvind Kolås <pippin gimp org>
Date:   Tue Sep 12 23:49:58 2017 +0200

    babl: remove inlined implementation of powf

 babl/babl-trc.c |  296 +------------------------------------------------------
 1 files changed, 2 insertions(+), 294 deletions(-)
---
diff --git a/babl/babl-trc.c b/babl/babl-trc.c
index ad40384..4a05011 100644
--- a/babl/babl-trc.c
+++ b/babl/babl-trc.c
@@ -85,298 +85,6 @@ static inline float babl_trc_lut_to_linear (const Babl *trc_, float x)
   return ret;
 }
 
-/* origin: FreeBSD /usr/src/lib/msun/src/e_powf.c, copied from musl */
-/*
- * 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.
- * ====================================================
- */
-
-//#include "libm.h"
-
-/* Get a 32 bit int from a float.  */
-#define GET_FLOAT_WORD(w,d)                       \
-do {                                              \
-  union {float f; uint32_t i;} __u;               \
-  __u.f = (d);                                    \
-  (w) = __u.i;                                    \
-} while (0)
-
-/* Set a float from a 32 bit int.  */
-#define SET_FLOAT_WORD(d,w)                       \
-do {                                              \
-  union {float f; uint32_t i;} __u;               \
-  __u.i = (w);                                    \
-  (d) = __u.f;                                    \
-} while (0)
-
-
-static const float
-bp[]   = {1.0, 1.5,},
-dp_h[] = { 0.0, 5.84960938e-01,}, /* 0x3f15c000 */
-dp_l[] = { 0.0, 1.56322085e-06,}, /* 0x35d1cfdc */
-two24  =  16777216.0,  /* 0x4b800000 */
-huge   =  1.0e30,
-tiny   =  1.0e-30,
-/* poly coefs for (3/2)*(log(x)-2s-2/3*s**3 */
-L1 =  6.0000002384e-01, /* 0x3f19999a */
-L2 =  4.2857143283e-01, /* 0x3edb6db7 */
-L3 =  3.3333334327e-01, /* 0x3eaaaaab */
-L4 =  2.7272811532e-01, /* 0x3e8ba305 */
-L5 =  2.3066075146e-01, /* 0x3e6c3255 */
-L6 =  2.0697501302e-01, /* 0x3e53f142 */
-P1 =  1.6666667163e-01, /* 0x3e2aaaab */
-P2 = -2.7777778450e-03, /* 0xbb360b61 */
-P3 =  6.6137559770e-05, /* 0x388ab355 */
-P4 = -1.6533901999e-06, /* 0xb5ddea0e */
-P5 =  4.1381369442e-08, /* 0x3331bb4c */
-lg2     =  6.9314718246e-01, /* 0x3f317218 */
-lg2_h   =  6.93145752e-01,   /* 0x3f317200 */
-lg2_l   =  1.42860654e-06,   /* 0x35bfbe8c */
-ovt     =  4.2995665694e-08, /* -(128-log2(ovfl+.5ulp)) */
-cp      =  9.6179670095e-01, /* 0x3f76384f =2/(3ln2) */
-cp_h    =  9.6191406250e-01, /* 0x3f764000 =12b cp */
-cp_l    = -1.1736857402e-04; /* 0xb8f623c6 =tail of cp_h */
-#if 0
-ivln2   =  1.4426950216e+00, /* 0x3fb8aa3b =1/ln2 */
-ivln2_h =  1.4426879883e+00, /* 0x3fb8aa00 =16b 1/ln2*/
-ivln2_l =  7.0526075433e-06; /* 0x36eca570 =1/ln2 tail*/
-#endif
-
-static inline float obabl_powf(float x, float y)
-{
-       float z,ax,z_h,z_l,p_h,p_l;
-       float y1,t1,t2,r,s,sn,t,u,v,w;
-       int32_t i,j,k,yisint,n;
-       int32_t hx,hy,ix,iy,is;
-
-       GET_FLOAT_WORD(hx, x);
-       GET_FLOAT_WORD(hy, y);
-       ix = hx & 0x7fffffff;
-       iy = hy & 0x7fffffff;
-
-#if 0
-       /* x**0 = 1, even if x is NaN */
-       if (iy == 0)
-               return 1.0f;
-#endif
-       /* 1**y = 1, even if y is NaN */
-       if (hx == 0x3f800000)
-               return 1.0f;
-       /* NaN if either arg is NaN */
-       if (ix > 0x7f800000 || iy > 0x7f800000)
-               return x + y;
-
-       /* determine if y is an odd int when x < 0
-        * yisint = 0       ... y is not an integer
-        * yisint = 1       ... y is an odd int
-        * yisint = 2       ... y is an even int
-        */
-       yisint  = 0;
-       if (hx < 0) {
-               if (iy >= 0x4b800000)
-                       yisint = 2; /* even integer y */
-               else if (iy >= 0x3f800000) {
-                       k = (iy>>23) - 0x7f;         /* exponent */
-                       j = iy>>(23-k);
-                       if ((j<<(23-k)) == iy)
-                               yisint = 2 - (j & 1);
-               }
-       }
-#if 0
-       /* special value of y */
-       if (iy == 0x7f800000) {  /* y is +-inf */
-               if (ix == 0x3f800000)      /* (-1)**+-inf is 1 */
-                       return 1.0f;
-               else if (ix > 0x3f800000)  /* (|x|>1)**+-inf = inf,0 */
-                       return hy >= 0 ? y : 0.0f;
-               else                       /* (|x|<1)**+-inf = 0,inf */
-                       return hy >= 0 ? 0.0f: -y;
-       }
-       if (iy == 0x3f800000)    /* y is +-1 */
-               return hy >= 0 ? x : 1.0f/x;
-       if (hy == 0x40000000)    /* y is 2 */
-               return x*x;
-       if (hy == 0x3f000000) {  /* y is  0.5 */
-               if (hx >= 0)     /* x >= +0 */
-                       return sqrtf(x);
-       }
-#endif
-
-       ax = fabsf(x);
-       /* special value of x */
-       if (ix == 0x7f800000 || ix == 0 || ix == 0x3f800000) { /* x is +-0,+-inf,+-1 */
-               z = ax;
-               if (hy < 0)  /* z = (1/|x|) */
-                       z = 1.0f/z;
-               if (hx < 0) {
-                       if (((ix-0x3f800000)|yisint) == 0) {
-                               z = (z-z)/(z-z); /* (-1)**non-int is NaN */
-                       } else if (yisint == 1)
-                               z = -z;          /* (x<0)**odd = -(|x|**odd) */
-               }
-               return z;
-       }
-
-       sn = 1.0f; /* sign of result */
-       if (hx < 0) {
-               if (yisint == 0) /* (x<0)**(non-int) is NaN */
-                       return (x-x)/(x-x);
-               if (yisint == 1) /* (x<0)**(odd int) */
-                       sn = -1.0f;
-       }
-
-#if 0
-       /* |y| is huge */
-       if (iy > 0x4d000000) { /* if |y| > 2**27 */
-               /* over/underflow if x is not close to one */
-               if (ix < 0x3f7ffff8)
-                       return hy < 0 ? sn*huge*huge : sn*tiny*tiny;
-               if (ix > 0x3f800007)
-                       return hy > 0 ? sn*huge*huge : sn*tiny*tiny;
-               /* now |1-x| is tiny <= 2**-20, suffice to compute
-                  log(x) by x-x^2/2+x^3/3-x^4/4 */
-               t = ax - 1;     /* t has 20 trailing zeros */
-               w = (t*t)*(0.5f - t*(0.333333333333f - t*0.25f));
-               u = ivln2_h*t;  /* ivln2_h has 16 sig. bits */
-               v = t*ivln2_l - w*ivln2;
-               t1 = u + v;
-               GET_FLOAT_WORD(is, t1);
-               SET_FLOAT_WORD(t1, is & 0xfffff000);
-               t2 = v - (t1-u);
-       } else 
-#endif
-{
-               float s2,s_h,s_l,t_h,t_l;
-               n = 0;
-               /* take care subnormal number */
-               if (ix < 0x00800000) {
-                       ax *= two24;
-                       n -= 24;
-                       GET_FLOAT_WORD(ix, ax);
-               }
-               n += ((ix)>>23) - 0x7f;
-               j = ix & 0x007fffff;
-               /* determine interval */
-               ix = j | 0x3f800000;     /* normalize ix */
-               if (j <= 0x1cc471)       /* |x|<sqrt(3/2) */
-                       k = 0;
-               else if (j < 0x5db3d7)   /* |x|<sqrt(3)   */
-                       k = 1;
-               else {
-                       k = 0;
-                       n += 1;
-                       ix -= 0x00800000;
-               }
-               SET_FLOAT_WORD(ax, ix);
-
-               /* compute s = s_h+s_l = (x-1)/(x+1) or (x-1.5)/(x+1.5) */
-               u = ax - bp[k];   /* bp[0]=1.0, bp[1]=1.5 */
-               v = 1.0f/(ax+bp[k]);
-               s = u*v;
-               s_h = s;
-               GET_FLOAT_WORD(is, s_h);
-               SET_FLOAT_WORD(s_h, is & 0xfffff000);
-               /* t_h=ax+bp[k] High */
-               is = ((ix>>1) & 0xfffff000) | 0x20000000;
-               SET_FLOAT_WORD(t_h, is + 0x00400000 + (k<<21));
-               t_l = ax - (t_h - bp[k]);
-               s_l = v*((u - s_h*t_h) - s_h*t_l);
-               /* compute log(ax) */
-               s2 = s*s;
-               r = s2*s2*(L1+s2*(L2+s2*(L3+s2*(L4+s2*(L5+s2*L6)))));
-               r += s_l*(s_h+s);
-               s2 = s_h*s_h;
-               t_h = 3.0f + s2 + r;
-               GET_FLOAT_WORD(is, t_h);
-               SET_FLOAT_WORD(t_h, is & 0xfffff000);
-               t_l = r - ((t_h - 3.0f) - s2);
-               /* u+v = s*(1+...) */
-               u = s_h*t_h;
-               v = s_l*t_h + t_l*s;
-               /* 2/(3log2)*(s+...) */
-               p_h = u + v;
-               GET_FLOAT_WORD(is, p_h);
-               SET_FLOAT_WORD(p_h, is & 0xfffff000);
-               p_l = v - (p_h - u);
-               z_h = cp_h*p_h;  /* cp_h+cp_l = 2/(3*log2) */
-               z_l = cp_l*p_h + p_l*cp+dp_l[k];
-               /* log2(ax) = (s+..)*2/(3*log2) = n + dp_h + z_h + z_l */
-               t = (float)n;
-               t1 = (((z_h + z_l) + dp_h[k]) + t);
-               GET_FLOAT_WORD(is, t1);
-               SET_FLOAT_WORD(t1, is & 0xfffff000);
-               t2 = z_l - (((t1 - t) - dp_h[k]) - z_h);
-       }
-
-       /* split up y into y1+y2 and compute (y1+y2)*(t1+t2) */
-       GET_FLOAT_WORD(is, y);
-       SET_FLOAT_WORD(y1, is & 0xfffff000);
-       p_l = (y-y1)*t1 + y*t2;
-       p_h = y1*t1;
-       z = p_l + p_h;
-       GET_FLOAT_WORD(j, z);
-       if (j > 0x43000000)          /* if z > 128 */
-               return sn*huge*huge;  /* overflow */
-       else if (j == 0x43000000) {  /* if z == 128 */
-               if (p_l + ovt > z - p_h)
-                       return sn*huge*huge;  /* overflow */
-       } else if ((j&0x7fffffff) > 0x43160000)  /* z < -150 */ // FIXME: check should be  (uint32_t)j > 
0xc3160000
-               return sn*tiny*tiny;  /* underflow */
-       else if (j == 0xc3160000) {  /* z == -150 */
-               if (p_l <= z-p_h)
-                       return sn*tiny*tiny;  /* underflow */
-       }
-       /*
-        * compute 2**(p_h+p_l)
-        */
-       i = j & 0x7fffffff;
-       k = (i>>23) - 0x7f;
-       n = 0;
-       if (i > 0x3f000000) {   /* if |z| > 0.5, set n = [z+0.5] */
-               n = j + (0x00800000>>(k+1));
-               k = ((n&0x7fffffff)>>23) - 0x7f;  /* new k for n */
-               SET_FLOAT_WORD(t, n & ~(0x007fffff>>k));
-               n = ((n&0x007fffff)|0x00800000)>>(23-k);
-               if (j < 0)
-                       n = -n;
-               p_h -= t;
-       }
-       t = p_l + p_h;
-       GET_FLOAT_WORD(is, t);
-       SET_FLOAT_WORD(t, is & 0xffff8000);
-       u = t*lg2_h;
-       v = (p_l-(t-p_h))*lg2 + t*lg2_l;
-       z = u + v;
-       w = v - (z - u);
-       t = z*z;
-       t1 = z - t*(P1+t*(P2+t*(P3+t*(P4+t*P5))));
-       r = (z*t1)/(t1-2.0f) - (w+z*w);
-       z = 1.0f - (r - z);
-       GET_FLOAT_WORD(j, z);
-       j += n<<23;
-       if ((j>>23) <= 0)  /* subnormal output */
-               z = scalbnf(z, n);
-       else
-               SET_FLOAT_WORD(z, j);
-       return sn*z;
-}
-
-static inline float babl_powf (float x, float y)
-{
-  if (x > 0.0f)
-    return expf (y * logf (x));
-  return 0.0f;
-}
-
 static inline float _babl_trc_gamma_to_linear (const Babl *trc_, float value)
 {
   BablTRC *trc = (void*)trc_;
@@ -387,7 +95,7 @@ static inline float _babl_trc_gamma_to_linear (const Babl *trc_, float value)
     }
   else
     {
-      return babl_powf (value, trc->gamma);
+      return powf (value, trc->gamma);
     }
 }
 
@@ -401,7 +109,7 @@ static inline float _babl_trc_gamma_from_linear (const Babl *trc_, float value)
     }
   else
     {
-      return babl_powf (value, trc->rgamma);
+      return powf (value, trc->rgamma);
     }
 }
 


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