X-Git-Url: http://nsz.repo.hu/git/?p=musl;a=blobdiff_plain;f=src%2Fmath%2Fpowf.c;h=427c8965b9e8e78bca69660427a4e313087c3e0a;hp=e322ff28bce1e48bff3d21f8945257c449ca86f9;hb=04ccbdca6d88738e23e0d6a622ad33854c468646;hpb=b69f695acedd4ce2798ef9ea28d834ceccc789bd diff --git a/src/math/powf.c b/src/math/powf.c index e322ff28..427c8965 100644 --- a/src/math/powf.c +++ b/src/math/powf.c @@ -19,9 +19,6 @@ static const float bp[] = {1.0, 1.5,}, dp_h[] = { 0.0, 5.84960938e-01,}, /* 0x3f15c000 */ dp_l[] = { 0.0, 1.56322085e-06,}, /* 0x35d1cfdc */ -zero = 0.0, -one = 1.0, -two = 2.0, two24 = 16777216.0, /* 0x4b800000 */ huge = 1.0e30, tiny = 1.0e-30, @@ -60,17 +57,15 @@ float powf(float x, float y) ix = hx & 0x7fffffff; iy = hy & 0x7fffffff; - /* y == zero: x**0 = 1 */ + /* x**0 = 1, even if x is NaN */ if (iy == 0) - return one; - - /* x == 1: 1**y = 1, even if y is NaN */ + return 1.0f; + /* 1**y = 1, even if y is NaN */ if (hx == 0x3f800000) - return one; - - /* y != zero: result is NaN if either arg is NaN */ + return 1.0f; + /* NaN if either arg is NaN */ if (ix > 0x7f800000 || iy > 0x7f800000) - return (x+0.0F) + (y+0.0F); + return x + y; /* determine if y is an odd int when x < 0 * yisint = 0 ... y is not an integer @@ -92,17 +87,14 @@ float powf(float x, float y) /* special value of y */ if (iy == 0x7f800000) { /* y is +-inf */ if (ix == 0x3f800000) /* (-1)**+-inf is 1 */ - return one; + return 1.0f; else if (ix > 0x3f800000) /* (|x|>1)**+-inf = inf,0 */ - return hy >= 0 ? y : zero; + return hy >= 0 ? y : 0.0f; else /* (|x|<1)**+-inf = 0,inf */ - return hy < 0 ? -y : zero; - } - if (iy == 0x3f800000) { /* y is +-1 */ - if (hy < 0) - return one/x; - return x; + 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 */ @@ -115,7 +107,7 @@ float powf(float x, float y) if (ix == 0x7f800000 || ix == 0 || ix == 0x3f800000) { /* x is +-0,+-inf,+-1 */ z = ax; if (hy < 0) /* z = (1/|x|) */ - z = one/z; + z = 1.0f/z; if (hx < 0) { if (((ix-0x3f800000)|yisint) == 0) { z = (z-z)/(z-z); /* (-1)**non-int is NaN */ @@ -125,15 +117,13 @@ float powf(float x, float y) return z; } - n = ((uint32_t)hx>>31) - 1; - - /* (x<0)**(non-int) is NaN */ - if ((n|yisint) == 0) - return (x-x)/(x-x); - - sn = one; /* s (sign of result -ve**odd) = -1 else = 1 */ - if ((n|(yisint-1)) == 0) /* (-ve)**(odd int) */ - sn = -one; + 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 */ @@ -145,7 +135,7 @@ float powf(float x, float y) /* 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)*((float)0.5-t*((float)0.333333333333-t*(float)0.25)); + 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; @@ -178,7 +168,7 @@ float powf(float x, float y) /* 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 = one/(ax+bp[k]); + v = 1.0f/(ax+bp[k]); s = u*v; s_h = s; GET_FLOAT_WORD(is, s_h); @@ -193,10 +183,10 @@ float powf(float x, float y) 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 = (float)3.0 + s2 + r; + t_h = 3.0f + s2 + r; GET_FLOAT_WORD(is, t_h); SET_FLOAT_WORD(t_h, is & 0xfffff000); - t_l = r - ((t_h - (float)3.0) - s2); + 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; @@ -257,8 +247,8 @@ float powf(float x, float y) w = v - (z - u); t = z*z; t1 = z - t*(P1+t*(P2+t*(P3+t*(P4+t*P5)))); - r = (z*t1)/(t1-two) - (w+z*w); - z = one - (r - z); + 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 */