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https://git.planet-casio.com/Lephenixnoir/OpenLibm.git
synced 2024-12-26 19:43:40 +01:00
parent
6a85b33182
commit
98f87135b0
3 changed files with 41 additions and 13 deletions
24
src/e_powf.c
24
src/e_powf.c
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@ -25,6 +25,9 @@ bp[] = {1.0, 1.5,},
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dp_h[] = { 0.0, 5.84960938e-01,}, /* 0x3f15c000 */
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dp_l[] = { 0.0, 1.56322085e-06,}, /* 0x35d1cfdc */
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zero = 0.0,
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half = 0.5,
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qrtr = 0.25,
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thrd = 3.33333343e-01, /* 0x3eaaaaab */
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one = 1.0,
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two = 2.0,
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two24 = 16777216.0, /* 0x4b800000 */
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@ -74,7 +77,7 @@ __ieee754_powf(float x, float y)
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/* y!=zero: result is NaN if either arg is NaN */
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if(ix > 0x7f800000 ||
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iy > 0x7f800000)
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return (x+0.0F)+(y+0.0F);
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return nan_mix(x, y);
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/* determine if y is an odd int when x < 0
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* yisint = 0 ... y is not an integer
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@ -103,15 +106,10 @@ __ieee754_powf(float x, float y)
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if(iy==0x3f800000) { /* y is +-1 */
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if(hy<0) return one/x; else return x;
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}
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if(hy==0x40000000) return x*x; /* y is 2 */
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if(hy==0x40400000) return x*x*x; /* y is 3 */
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if(hy==0x40800000) { /* y is 4 */
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u = x*x;
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return u*u;
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}
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if(hy==0x3f000000) { /* y is 0.5 */
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if(hy==0x40000000) return x*x; /* y is 2 */
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if(hy==0x3f000000) { /* y is 0.5 */
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if(hx>=0) /* x >= +0 */
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return __ieee754_sqrtf(x);
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return __ieee754_sqrtf(x);
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}
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ax = fabsf(x);
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@ -144,7 +142,7 @@ __ieee754_powf(float x, float y)
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/* now |1-x| is tiny <= 2**-20, suffice to compute
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log(x) by x-x^2/2+x^3/3-x^4/4 */
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t = ax-1; /* t has 20 trailing zeros */
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w = (t*t)*((float)0.5-t*((float)0.333333333333-t*(float)0.25));
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w = (t*t)*(half-t*(thrd-t*qrtr));
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u = ivln2_h*t; /* ivln2_h has 16 sig. bits */
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v = t*ivln2_l-w*ivln2;
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t1 = u+v;
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@ -183,10 +181,10 @@ __ieee754_powf(float x, float y)
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r = s2*s2*(L1+s2*(L2+s2*(L3+s2*(L4+s2*(L5+s2*L6)))));
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r += s_l*(s_h+s);
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s2 = s_h*s_h;
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t_h = (float)3.0+s2+r;
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t_h = 3+s2+r;
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GET_FLOAT_WORD(is,t_h);
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SET_FLOAT_WORD(t_h,is&0xfffff000);
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t_l = r-((t_h-(float)3.0)-s2);
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t_l = r-((t_h-3)-s2);
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/* u+v = s*(1+...) */
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u = s_h*t_h;
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v = s_l*t_h+t_l*s;
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@ -198,7 +196,7 @@ __ieee754_powf(float x, float y)
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z_h = cp_h*p_h; /* cp_h+cp_l = 2/(3*log2) */
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z_l = cp_l*p_h+p_l*cp+dp_l[k];
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/* log2(ax) = (s+..)*2/(3*log2) = n + dp_h + z_h + z_l */
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t = (float)n;
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t = n;
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t1 = (((z_h+z_l)+dp_h[k])+t);
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GET_FLOAT_WORD(is,t1);
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SET_FLOAT_WORD(t1,is&0xfffff000);
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@ -230,6 +230,24 @@ do { \
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*/
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void __scan_nan(u_int32_t *__words, int __num_words, const char *__s);
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/*
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* Mix 1 or 2 NaNs. First add 0 to each arg. This normally just turns
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* signaling NaNs into quiet NaNs by setting a quiet bit. We do this
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* because we want to never return a signaling NaN, and also because we
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* don't want the quiet bit to affect the result. Then mix the converted
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* args using addition. The result is typically the arg whose mantissa
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* bits (considered as in integer) are largest.
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*
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* Technical complications: the result in bits might depend on the precision
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* and/or on compiler optimizations, especially when different register sets
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* are used for different precisions. Try to make the result not depend on
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* at least the precision by always doing the main mixing step in long double
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* precision. Try to reduce dependencies on optimizations by adding the
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* the 0's in different precisions (unless everything is in long double
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* precision).
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*/
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#define nan_mix(x, y) (((x) + 0.0L) + ((y) + 0))
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#ifdef __GNUCLIKE_ASM
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/* Asm versions of some functions. */
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12
test/test-211.c
Normal file
12
test/test-211.c
Normal file
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@ -0,0 +1,12 @@
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#include <stdio.h>
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#include <math.h>
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#include <assert.h>
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int
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main()
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{
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float x = 0xd.65874p-4f;
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float y = 4.0f;
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float z = powf (x, y);
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assert(z==0x1.f74424p-2);
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}
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