Chromium Code Reviews
chromiumcodereview-hr@appspot.gserviceaccount.com (chromiumcodereview-hr) | Please choose your nickname with Settings | Help | Chromium Project | Gerrit Changes | Sign out
(10)

Unified Diff: fusl/src/math/powf.c

Issue 1714623002: [fusl] clang-format fusl (Closed) Base URL: git@github.com:domokit/mojo.git@master
Patch Set: headers too Created 4 years, 10 months ago
Use n/p to move between diff chunks; N/P to move between comments. Draft comments are only viewable by you.
Jump to:
View side-by-side diff with in-line comments
Download patch
Index: fusl/src/math/powf.c
diff --git a/fusl/src/math/powf.c b/fusl/src/math/powf.c
index 427c8965b9e8e78bca69660427a4e313087c3e0a..ee4bd98855291ab79e4cc9dec1604d35eee4816c 100644
--- a/fusl/src/math/powf.c
+++ b/fusl/src/math/powf.c
@@ -15,245 +15,257 @@
#include "libm.h"
-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 */
-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*/
+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 */
+ 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*/
-float 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;
+float 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;
+ GET_FLOAT_WORD(hx, x);
+ GET_FLOAT_WORD(hy, y);
+ ix = hx & 0x7fffffff;
+ iy = hy & 0x7fffffff;
- /* x**0 = 1, even if x is NaN */
- if (iy == 0)
- return 1.0f;
- /* 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;
+ /* x**0 = 1, even if x is NaN */
+ if (iy == 0)
+ return 1.0f;
+ /* 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);
- }
- }
+ /* 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);
+ }
+ }
- /* 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);
- }
+ /* 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);
+ }
- 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;
- }
+ 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;
- }
+ 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;
+ }
- /* |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 {
- 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);
+ /* |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 {
+ 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);
- }
+ /* 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;
+ /* 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;
}
« fusl/arch/aarch64/atomic_arch.h ('K') | « fusl/src/math/pow.c ('k') | fusl/src/math/powl.c » ('j') | no next file with comments »

Powered by Google App Engine
This is Rietveld 408576698