Commit 6cf065753c84790e50926eaace8d62e42184d407
2017-11-04T15:53:19
Updated math code from the uClibc 0.9.33 release
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diff --git a/src/libm/e_atan2.c b/src/libm/e_atan2.c
index f7b91a3..7c089f0 100644
--- a/src/libm/e_atan2.c
+++ b/src/libm/e_atan2.c
@@ -57,8 +57,8 @@ double attribute_hidden __ieee754_atan2(double y, double x)
ix = hx&0x7fffffff;
EXTRACT_WORDS(hy,ly,y);
iy = hy&0x7fffffff;
- if(((ix|((lx|-(int32_t)lx)>>31))>0x7ff00000)||
- ((iy|((ly|-(int32_t)ly)>>31))>0x7ff00000)) /* x or y is NaN */
+ if(((ix|((lx|-lx)>>31))>0x7ff00000)||
+ ((iy|((ly|-ly)>>31))>0x7ff00000)) /* x or y is NaN */
return x+y;
if(((hx-0x3ff00000)|lx)==0) return atan(y); /* x=1.0 */
m = ((hy>>31)&1)|((hx>>30)&2); /* 2*sign(x)+sign(y) */
@@ -81,8 +81,8 @@ double attribute_hidden __ieee754_atan2(double y, double x)
switch(m) {
case 0: return pi_o_4+tiny;/* atan(+INF,+INF) */
case 1: return -pi_o_4-tiny;/* atan(-INF,+INF) */
- case 2: return 3.0*pi_o_4+tiny;/* atan(+INF,-INF) */
- case 3: return -3.0*pi_o_4-tiny;/* atan(-INF,-INF) */
+ case 2: return 3.0*pi_o_4+tiny;/*atan(+INF,-INF)*/
+ case 3: return -3.0*pi_o_4-tiny;/*atan(-INF,-INF)*/
}
} else {
switch(m) {
@@ -114,3 +114,21 @@ double attribute_hidden __ieee754_atan2(double y, double x)
return (z-pi_lo)-pi;/* atan(-,-) */
}
}
+
+/*
+ * wrapper atan2(y,x)
+ */
+#ifndef _IEEE_LIBM
+double atan2(double y, double x)
+{
+ double z = __ieee754_atan2(y, x);
+ if (_LIB_VERSION == _IEEE_ || isnan(x) || isnan(y))
+ return z;
+ if (x == 0.0 && y == 0.0)
+ return __kernel_standard(y,x,3); /* atan2(+-0,+-0) */
+ return z;
+}
+#else
+strong_alias(__ieee754_atan2, atan2)
+#endif
+libm_hidden_def(atan2)
diff --git a/src/libm/e_log.c b/src/libm/e_log.c
index da64138..66b6b36 100644
--- a/src/libm/e_log.c
+++ b/src/libm/e_log.c
@@ -1,4 +1,3 @@
-/* @(#)e_log.c 5.1 93/09/24 */
/*
* ====================================================
* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
@@ -10,11 +9,6 @@
* ====================================================
*/
-#if defined(LIBM_SCCS) && !defined(lint)
-static const char rcsid[] =
- "$NetBSD: e_log.c,v 1.8 1995/05/10 20:45:49 jtc Exp $";
-#endif
-
/* __ieee754_log(x)
* Return the logrithm of x
*
@@ -69,99 +63,85 @@ static const char rcsid[] =
#include "math_libm.h"
#include "math_private.h"
-#ifdef __STDC__
static const double
-#else
-static double
-#endif
- ln2_hi = 6.93147180369123816490e-01, /* 3fe62e42 fee00000 */
- ln2_lo = 1.90821492927058770002e-10, /* 3dea39ef 35793c76 */
- two54 = 1.80143985094819840000e+16, /* 43500000 00000000 */
- Lg1 = 6.666666666666735130e-01, /* 3FE55555 55555593 */
- Lg2 = 3.999999999940941908e-01, /* 3FD99999 9997FA04 */
- Lg3 = 2.857142874366239149e-01, /* 3FD24924 94229359 */
- Lg4 = 2.222219843214978396e-01, /* 3FCC71C5 1D8E78AF */
- Lg5 = 1.818357216161805012e-01, /* 3FC74664 96CB03DE */
- Lg6 = 1.531383769920937332e-01, /* 3FC39A09 D078C69F */
- Lg7 = 1.479819860511658591e-01; /* 3FC2F112 DF3E5244 */
+ln2_hi = 6.93147180369123816490e-01, /* 3fe62e42 fee00000 */
+ln2_lo = 1.90821492927058770002e-10, /* 3dea39ef 35793c76 */
+two54 = 1.80143985094819840000e+16, /* 43500000 00000000 */
+Lg1 = 6.666666666666735130e-01, /* 3FE55555 55555593 */
+Lg2 = 3.999999999940941908e-01, /* 3FD99999 9997FA04 */
+Lg3 = 2.857142874366239149e-01, /* 3FD24924 94229359 */
+Lg4 = 2.222219843214978396e-01, /* 3FCC71C5 1D8E78AF */
+Lg5 = 1.818357216161805012e-01, /* 3FC74664 96CB03DE */
+Lg6 = 1.531383769920937332e-01, /* 3FC39A09 D078C69F */
+Lg7 = 1.479819860511658591e-01; /* 3FC2F112 DF3E5244 */
-#ifdef __STDC__
-static const double zero = 0.0;
-#else
-static double zero = 0.0;
-#endif
+static const double zero = 0.0;
-#ifdef __STDC__
-double attribute_hidden
-__ieee754_log(double x)
-#else
-double attribute_hidden
-__ieee754_log(x)
- double x;
-#endif
+double attribute_hidden __ieee754_log(double x)
{
- double hfsq, f, s, z, R, w, t1, t2, dk;
- int32_t k, hx, i, j;
- u_int32_t lx;
+ double hfsq,f,s,z,R,w,t1,t2,dk;
+ int32_t k,hx,i,j;
+ u_int32_t lx;
- EXTRACT_WORDS(hx, lx, x);
+ EXTRACT_WORDS(hx,lx,x);
- k = 0;
- if (hx < 0x00100000) { /* x < 2**-1022 */
- if (((hx & 0x7fffffff) | lx) == 0)
- return -two54 / zero; /* log(+-0)=-inf */
- if (hx < 0)
- return (x - x) / zero; /* log(-#) = NaN */
- k -= 54;
- x *= two54; /* subnormal number, scale up x */
- GET_HIGH_WORD(hx, x);
- }
- if (hx >= 0x7ff00000)
- return x + x;
- k += (hx >> 20) - 1023;
- hx &= 0x000fffff;
- i = (hx + 0x95f64) & 0x100000;
- SET_HIGH_WORD(x, hx | (i ^ 0x3ff00000)); /* normalize x or x/2 */
- k += (i >> 20);
- f = x - 1.0;
- if ((0x000fffff & (2 + hx)) < 3) { /* |f| < 2**-20 */
- if (f == zero) {
- if (k == 0)
- return zero;
- else {
- dk = (double) k;
- return dk * ln2_hi + dk * ln2_lo;
- }
- }
- R = f * f * (0.5 - 0.33333333333333333 * f);
- if (k == 0)
- return f - R;
- else {
- dk = (double) k;
- return dk * ln2_hi - ((R - dk * ln2_lo) - f);
- }
- }
- s = f / (2.0 + f);
- dk = (double) k;
- z = s * s;
- i = hx - 0x6147a;
- w = z * z;
- j = 0x6b851 - hx;
- t1 = w * (Lg2 + w * (Lg4 + w * Lg6));
- t2 = z * (Lg1 + w * (Lg3 + w * (Lg5 + w * Lg7)));
- i |= j;
- R = t2 + t1;
- if (i > 0) {
- hfsq = 0.5 * f * f;
- if (k == 0)
- return f - (hfsq - s * (hfsq + R));
- else
- return dk * ln2_hi - ((hfsq - (s * (hfsq + R) + dk * ln2_lo)) -
- f);
- } else {
- if (k == 0)
- return f - s * (f - R);
- else
- return dk * ln2_hi - ((s * (f - R) - dk * ln2_lo) - f);
- }
+ k=0;
+ if (hx < 0x00100000) { /* x < 2**-1022 */
+ if (((hx&0x7fffffff)|lx)==0)
+ return -two54/zero; /* log(+-0)=-inf */
+ if (hx<0) return (x-x)/zero; /* log(-#) = NaN */
+ k -= 54; x *= two54; /* subnormal number, scale up x */
+ GET_HIGH_WORD(hx,x);
+ }
+ if (hx >= 0x7ff00000) return x+x;
+ k += (hx>>20)-1023;
+ hx &= 0x000fffff;
+ i = (hx+0x95f64)&0x100000;
+ SET_HIGH_WORD(x,hx|(i^0x3ff00000)); /* normalize x or x/2 */
+ k += (i>>20);
+ f = x-1.0;
+ if((0x000fffff&(2+hx))<3) { /* |f| < 2**-20 */
+ if(f==zero) {if(k==0) return zero; else {dk=(double)k;
+ return dk*ln2_hi+dk*ln2_lo;}
+ }
+ R = f*f*(0.5-0.33333333333333333*f);
+ if(k==0) return f-R; else {dk=(double)k;
+ return dk*ln2_hi-((R-dk*ln2_lo)-f);}
+ }
+ s = f/(2.0+f);
+ dk = (double)k;
+ z = s*s;
+ i = hx-0x6147a;
+ w = z*z;
+ j = 0x6b851-hx;
+ t1= w*(Lg2+w*(Lg4+w*Lg6));
+ t2= z*(Lg1+w*(Lg3+w*(Lg5+w*Lg7)));
+ i |= j;
+ R = t2+t1;
+ if(i>0) {
+ hfsq=0.5*f*f;
+ if(k==0) return f-(hfsq-s*(hfsq+R)); else
+ return dk*ln2_hi-((hfsq-(s*(hfsq+R)+dk*ln2_lo))-f);
+ } else {
+ if(k==0) return f-s*(f-R); else
+ return dk*ln2_hi-((s*(f-R)-dk*ln2_lo)-f);
+ }
}
+
+/*
+ * wrapper log(x)
+ */
+#ifndef _IEEE_LIBM
+double log(double x)
+{
+ double z = __ieee754_log(x);
+ if (_LIB_VERSION == _IEEE_ || isnan(x) || x > 0.0)
+ return z;
+ if (x == 0.0)
+ return __kernel_standard(x, x, 16); /* log(0) */
+ return __kernel_standard(x, x, 17); /* log(x<0) */
+}
+#else
+strong_alias(__ieee754_log, log)
+#endif
+libm_hidden_def(log)
diff --git a/src/libm/e_pow.c b/src/libm/e_pow.c
index 686da2e..a1cb26f 100644
--- a/src/libm/e_pow.c
+++ b/src/libm/e_pow.c
@@ -1,4 +1,3 @@
-/* @(#)e_pow.c 5.1 93/09/24 */
/*
* ====================================================
* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
@@ -10,10 +9,6 @@
* ====================================================
*/
-#if defined(LIBM_SCCS) && !defined(lint)
-static char rcsid[] = "$NetBSD: e_pow.c,v 1.9 1995/05/12 04:57:32 jtc Exp $";
-#endif
-
/* __ieee754_pow(x,y) return x**y
*
* n
@@ -26,25 +21,26 @@ static char rcsid[] = "$NetBSD: e_pow.c,v 1.9 1995/05/12 04:57:32 jtc Exp $";
* 3. Return x**y = 2**n*exp(y'*log2)
*
* Special cases:
- * 1. (anything) ** 0 is 1
- * 2. (anything) ** 1 is itself
- * 3. (anything) ** NAN is NAN
- * 4. NAN ** (anything except 0) is NAN
- * 5. +-(|x| > 1) ** +INF is +INF
- * 6. +-(|x| > 1) ** -INF is +0
- * 7. +-(|x| < 1) ** +INF is +0
- * 8. +-(|x| < 1) ** -INF is +INF
- * 9. +-1 ** +-INF is NAN
- * 10. +0 ** (+anything except 0, NAN) is +0
- * 11. -0 ** (+anything except 0, NAN, odd integer) is +0
- * 12. +0 ** (-anything except 0, NAN) is +INF
- * 13. -0 ** (-anything except 0, NAN, odd integer) is +INF
- * 14. -0 ** (odd integer) = -( +0 ** (odd integer) )
- * 15. +INF ** (+anything except 0,NAN) is +INF
- * 16. +INF ** (-anything except 0,NAN) is +0
- * 17. -INF ** (anything) = -0 ** (-anything)
- * 18. (-anything) ** (integer) is (-1)**(integer)*(+anything**integer)
- * 19. (-anything except 0 and inf) ** (non-integer) is NAN
+ * 1. +-1 ** anything is 1.0
+ * 2. +-1 ** +-INF is 1.0
+ * 3. (anything) ** 0 is 1
+ * 4. (anything) ** 1 is itself
+ * 5. (anything) ** NAN is NAN
+ * 6. NAN ** (anything except 0) is NAN
+ * 7. +-(|x| > 1) ** +INF is +INF
+ * 8. +-(|x| > 1) ** -INF is +0
+ * 9. +-(|x| < 1) ** +INF is +0
+ * 10 +-(|x| < 1) ** -INF is +INF
+ * 11. +0 ** (+anything except 0, NAN) is +0
+ * 12. -0 ** (+anything except 0, NAN, odd integer) is +0
+ * 13. +0 ** (-anything except 0, NAN) is +INF
+ * 14. -0 ** (-anything except 0, NAN, odd integer) is +INF
+ * 15. -0 ** (odd integer) = -( +0 ** (odd integer) )
+ * 16. +INF ** (+anything except 0,NAN) is +INF
+ * 17. +INF ** (-anything except 0,NAN) is +0
+ * 18. -INF ** (anything) = -0 ** (-anything)
+ * 19. (-anything) ** (integer) is (-1)**(integer)*(+anything**integer)
+ * 20. (-anything except 0 and inf) ** (non-integer) is NAN
*
* Accuracy:
* pow(x,y) returns x**y nearly rounded. In particular
@@ -62,281 +58,281 @@ static char rcsid[] = "$NetBSD: e_pow.c,v 1.9 1995/05/12 04:57:32 jtc Exp $";
#include "math_libm.h"
#include "math_private.h"
-libm_hidden_proto(scalbn)
- libm_hidden_proto(fabs)
-#ifdef __STDC__
- static const double
-#else
- static double
-#endif
- bp[] = { 1.0, 1.5, }, dp_h[] = {
- 0.0, 5.84962487220764160156e-01,}, /* 0x3FE2B803, 0x40000000 */
+static const double
+bp[] = {1.0, 1.5,},
+dp_h[] = { 0.0, 5.84962487220764160156e-01,}, /* 0x3FE2B803, 0x40000000 */
+dp_l[] = { 0.0, 1.35003920212974897128e-08,}, /* 0x3E4CFDEB, 0x43CFD006 */
+zero = 0.0,
+one = 1.0,
+two = 2.0,
+two53 = 9007199254740992.0, /* 0x43400000, 0x00000000 */
+huge = 1.0e300,
+tiny = 1.0e-300,
+ /* poly coefs for (3/2)*(log(x)-2s-2/3*s**3 */
+L1 = 5.99999999999994648725e-01, /* 0x3FE33333, 0x33333303 */
+L2 = 4.28571428578550184252e-01, /* 0x3FDB6DB6, 0xDB6FABFF */
+L3 = 3.33333329818377432918e-01, /* 0x3FD55555, 0x518F264D */
+L4 = 2.72728123808534006489e-01, /* 0x3FD17460, 0xA91D4101 */
+L5 = 2.30660745775561754067e-01, /* 0x3FCD864A, 0x93C9DB65 */
+L6 = 2.06975017800338417784e-01, /* 0x3FCA7E28, 0x4A454EEF */
+P1 = 1.66666666666666019037e-01, /* 0x3FC55555, 0x5555553E */
+P2 = -2.77777777770155933842e-03, /* 0xBF66C16C, 0x16BEBD93 */
+P3 = 6.61375632143793436117e-05, /* 0x3F11566A, 0xAF25DE2C */
+P4 = -1.65339022054652515390e-06, /* 0xBEBBBD41, 0xC5D26BF1 */
+P5 = 4.13813679705723846039e-08, /* 0x3E663769, 0x72BEA4D0 */
+lg2 = 6.93147180559945286227e-01, /* 0x3FE62E42, 0xFEFA39EF */
+lg2_h = 6.93147182464599609375e-01, /* 0x3FE62E43, 0x00000000 */
+lg2_l = -1.90465429995776804525e-09, /* 0xBE205C61, 0x0CA86C39 */
+ovt = 8.0085662595372944372e-0017, /* -(1024-log2(ovfl+.5ulp)) */
+cp = 9.61796693925975554329e-01, /* 0x3FEEC709, 0xDC3A03FD =2/(3ln2) */
+cp_h = 9.61796700954437255859e-01, /* 0x3FEEC709, 0xE0000000 =(float)cp */
+cp_l = -7.02846165095275826516e-09, /* 0xBE3E2FE0, 0x145B01F5 =tail of cp_h*/
+ivln2 = 1.44269504088896338700e+00, /* 0x3FF71547, 0x652B82FE =1/ln2 */
+ivln2_h = 1.44269502162933349609e+00, /* 0x3FF71547, 0x60000000 =24b 1/ln2*/
+ivln2_l = 1.92596299112661746887e-08; /* 0x3E54AE0B, 0xF85DDF44 =1/ln2 tail*/
- dp_l[] = {
- 0.0, 1.35003920212974897128e-08,}, /* 0x3E4CFDEB, 0x43CFD006 */
+double attribute_hidden __ieee754_pow(double x, double y)
+{
+ double z,ax,z_h,z_l,p_h,p_l;
+ double y1,t1,t2,r,s,t,u,v,w;
+ int32_t i,j,k,yisint,n;
+ int32_t hx,hy,ix,iy;
+ u_int32_t lx,ly;
- zero = 0.0, one = 1.0, two = 2.0, two53 = 9007199254740992.0, /* 0x43400000, 0x00000000 */
- huge_val = 1.0e300, tiny = 1.0e-300,
- /* poly coefs for (3/2)*(log(x)-2s-2/3*s**3 */
- L1 = 5.99999999999994648725e-01, /* 0x3FE33333, 0x33333303 */
- L2 = 4.28571428578550184252e-01, /* 0x3FDB6DB6, 0xDB6FABFF */
- L3 = 3.33333329818377432918e-01, /* 0x3FD55555, 0x518F264D */
- L4 = 2.72728123808534006489e-01, /* 0x3FD17460, 0xA91D4101 */
- L5 = 2.30660745775561754067e-01, /* 0x3FCD864A, 0x93C9DB65 */
- L6 = 2.06975017800338417784e-01, /* 0x3FCA7E28, 0x4A454EEF */
- P1 = 1.66666666666666019037e-01, /* 0x3FC55555, 0x5555553E */
- P2 = -2.77777777770155933842e-03, /* 0xBF66C16C, 0x16BEBD93 */
- P3 = 6.61375632143793436117e-05, /* 0x3F11566A, 0xAF25DE2C */
- P4 = -1.65339022054652515390e-06, /* 0xBEBBBD41, 0xC5D26BF1 */
- P5 = 4.13813679705723846039e-08, /* 0x3E663769, 0x72BEA4D0 */
- lg2 = 6.93147180559945286227e-01, /* 0x3FE62E42, 0xFEFA39EF */
- lg2_h = 6.93147182464599609375e-01, /* 0x3FE62E43, 0x00000000 */
- lg2_l = -1.90465429995776804525e-09, /* 0xBE205C61, 0x0CA86C39 */
- ovt = 8.0085662595372944372e-0017, /* -(1024-log2(ovfl+.5ulp)) */
- cp = 9.61796693925975554329e-01, /* 0x3FEEC709, 0xDC3A03FD =2/(3ln2) */
- cp_h = 9.61796700954437255859e-01, /* 0x3FEEC709, 0xE0000000 =(float)cp */
- cp_l = -7.02846165095275826516e-09, /* 0xBE3E2FE0, 0x145B01F5 =tail of cp_h */
- ivln2 = 1.44269504088896338700e+00, /* 0x3FF71547, 0x652B82FE =1/ln2 */
- ivln2_h = 1.44269502162933349609e+00, /* 0x3FF71547, 0x60000000 =24b 1/ln2 */
- ivln2_l = 1.92596299112661746887e-08; /* 0x3E54AE0B, 0xF85DDF44 =1/ln2 tail */
+ EXTRACT_WORDS(hx,lx,x);
+ /* x==1: 1**y = 1 (even if y is NaN) */
+ if (hx==0x3ff00000 && lx==0) {
+ return x;
+ }
+ ix = hx&0x7fffffff;
-#ifdef __STDC__
- double attribute_hidden __ieee754_pow(double x, double y)
-#else
- double attribute_hidden __ieee754_pow(x, y)
- double x, y;
-#endif
- {
- double z, ax, z_h, z_l, p_h, p_l;
- double y1, t1, t2, r, s, t, u, v, w;
- int32_t i, j, k, yisint, n;
- int32_t hx, hy, ix, iy;
- u_int32_t lx, ly;
+ EXTRACT_WORDS(hy,ly,y);
+ iy = hy&0x7fffffff;
- EXTRACT_WORDS(hx, lx, x);
- EXTRACT_WORDS(hy, ly, y);
- ix = hx & 0x7fffffff;
- iy = hy & 0x7fffffff;
+ /* y==zero: x**0 = 1 */
+ if((iy|ly)==0) return one;
- /* y==zero: x**0 = 1 */
- if ((iy | ly) == 0)
- return one;
+ /* +-NaN return x+y */
+ if(ix > 0x7ff00000 || ((ix==0x7ff00000)&&(lx!=0)) ||
+ iy > 0x7ff00000 || ((iy==0x7ff00000)&&(ly!=0)))
+ return x+y;
- /* +-NaN return x+y */
- if (ix > 0x7ff00000 || ((ix == 0x7ff00000) && (lx != 0)) ||
- iy > 0x7ff00000 || ((iy == 0x7ff00000) && (ly != 0)))
- 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>=0x43400000) yisint = 2; /* even integer y */
+ else if(iy>=0x3ff00000) {
+ k = (iy>>20)-0x3ff; /* exponent */
+ if(k>20) {
+ j = ly>>(52-k);
+ if((j<<(52-k))==ly) yisint = 2-(j&1);
+ } else if(ly==0) {
+ j = iy>>(20-k);
+ if((j<<(20-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 >= 0x43400000)
- yisint = 2; /* even integer y */
- else if (iy >= 0x3ff00000) {
- k = (iy >> 20) - 0x3ff; /* exponent */
- if (k > 20) {
- j = ly >> (52 - k);
- if ((j << (52 - k)) == ly)
- yisint = 2 - (j & 1);
- } else if (ly == 0) {
- j = iy >> (20 - k);
- if ((j << (20 - k)) == iy)
- yisint = 2 - (j & 1);
- }
- }
- }
+ /* special value of y */
+ if(ly==0) {
+ if (iy==0x7ff00000) { /* y is +-inf */
+ if (((ix-0x3ff00000)|lx)==0)
+ return one; /* +-1**+-inf is 1 (yes, weird rule) */
+ if (ix >= 0x3ff00000) /* (|x|>1)**+-inf = inf,0 */
+ return (hy>=0) ? y : zero;
+ /* (|x|<1)**-,+inf = inf,0 */
+ return (hy<0) ? -y : zero;
+ }
+ if(iy==0x3ff00000) { /* y is +-1 */
+ if(hy<0) return one/x; else return x;
+ }
+ if(hy==0x40000000) return x*x; /* y is 2 */
+ if(hy==0x3fe00000) { /* y is 0.5 */
+ if(hx>=0) /* x >= +0 */
+ return __ieee754_sqrt(x);
+ }
+ }
- /* special value of y */
- if (ly == 0) {
- if (iy == 0x7ff00000) { /* y is +-inf */
- if (((ix - 0x3ff00000) | lx) == 0)
- return y - y; /* inf**+-1 is NaN */
- else if (ix >= 0x3ff00000) /* (|x|>1)**+-inf = inf,0 */
- return (hy >= 0) ? y : zero;
- else /* (|x|<1)**-,+inf = inf,0 */
- return (hy < 0) ? -y : zero;
- }
- if (iy == 0x3ff00000) { /* y is +-1 */
- if (hy < 0)
- return one / x;
- else
- return x;
- }
- if (hy == 0x40000000)
- return x * x; /* y is 2 */
- if (hy == 0x3fe00000) { /* y is 0.5 */
- if (hx >= 0) /* x >= +0 */
- return __ieee754_sqrt(x);
- }
- }
+ ax = fabs(x);
+ /* special value of x */
+ if(lx==0) {
+ if(ix==0x7ff00000||ix==0||ix==0x3ff00000){
+ z = ax; /*x is +-0,+-inf,+-1*/
+ if(hy<0) z = one/z; /* z = (1/|x|) */
+ if(hx<0) {
+ if(((ix-0x3ff00000)|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 = fabs(x);
- /* special value of x */
- if (lx == 0) {
- if (ix == 0x7ff00000 || ix == 0 || ix == 0x3ff00000) {
- z = ax; /* x is +-0,+-inf,+-1 */
- if (hy < 0)
- z = one / z; /* z = (1/|x|) */
- if (hx < 0) {
- if (((ix - 0x3ff00000) | 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;
- }
- }
+ /* (x<0)**(non-int) is NaN */
+ if(((((u_int32_t)hx>>31)-1)|yisint)==0) return (x-x)/(x-x);
- /* (x<0)**(non-int) is NaN */
- if (((((u_int32_t) hx >> 31) - 1) | yisint) == 0)
- return (x - x) / (x - x);
+ /* |y| is huge */
+ if(iy>0x41e00000) { /* if |y| > 2**31 */
+ if(iy>0x43f00000){ /* if |y| > 2**64, must o/uflow */
+ if(ix<=0x3fefffff) return (hy<0)? huge*huge:tiny*tiny;
+ if(ix>=0x3ff00000) return (hy>0)? huge*huge:tiny*tiny;
+ }
+ /* over/underflow if x is not close to one */
+ if(ix<0x3fefffff) return (hy<0)? huge*huge:tiny*tiny;
+ if(ix>0x3ff00000) return (hy>0)? huge*huge: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 = x-1; /* t has 20 trailing zeros */
+ w = (t*t)*(0.5-t*(0.3333333333333333333333-t*0.25));
+ u = ivln2_h*t; /* ivln2_h has 21 sig. bits */
+ v = t*ivln2_l-w*ivln2;
+ t1 = u+v;
+ SET_LOW_WORD(t1,0);
+ t2 = v-(t1-u);
+ } else {
+ double s2,s_h,s_l,t_h,t_l;
+ n = 0;
+ /* take care subnormal number */
+ if(ix<0x00100000)
+ {ax *= two53; n -= 53; GET_HIGH_WORD(ix,ax); }
+ n += ((ix)>>20)-0x3ff;
+ j = ix&0x000fffff;
+ /* determine interval */
+ ix = j|0x3ff00000; /* normalize ix */
+ if(j<=0x3988E) k=0; /* |x|<sqrt(3/2) */
+ else if(j<0xBB67A) k=1; /* |x|<sqrt(3) */
+ else {k=0;n+=1;ix -= 0x00100000;}
+ SET_HIGH_WORD(ax,ix);
- /* |y| is huge */
- if (iy > 0x41e00000) { /* if |y| > 2**31 */
- if (iy > 0x43f00000) { /* if |y| > 2**64, must o/uflow */
- if (ix <= 0x3fefffff)
- return (hy < 0) ? huge_val * huge_val : tiny * tiny;
- if (ix >= 0x3ff00000)
- return (hy > 0) ? huge_val * huge_val : tiny * tiny;
- }
- /* over/underflow if x is not close to one */
- if (ix < 0x3fefffff)
- return (hy < 0) ? huge_val * huge_val : tiny * tiny;
- if (ix > 0x3ff00000)
- return (hy > 0) ? huge_val * huge_val : 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 = x - 1; /* t has 20 trailing zeros */
- w = (t * t) * (0.5 - t * (0.3333333333333333333333 - t * 0.25));
- u = ivln2_h * t; /* ivln2_h has 21 sig. bits */
- v = t * ivln2_l - w * ivln2;
- t1 = u + v;
- SET_LOW_WORD(t1, 0);
- t2 = v - (t1 - u);
- } else {
- double s2, s_h, s_l, t_h, t_l;
- n = 0;
- /* take care subnormal number */
- if (ix < 0x00100000) {
- ax *= two53;
- n -= 53;
- GET_HIGH_WORD(ix, ax);
- }
- n += ((ix) >> 20) - 0x3ff;
- j = ix & 0x000fffff;
- /* determine interval */
- ix = j | 0x3ff00000; /* normalize ix */
- if (j <= 0x3988E)
- k = 0; /* |x|<sqrt(3/2) */
- else if (j < 0xBB67A)
- k = 1; /* |x|<sqrt(3) */
- else {
- k = 0;
- n += 1;
- ix -= 0x00100000;
- }
- SET_HIGH_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 = one/(ax+bp[k]);
+ s = u*v;
+ s_h = s;
+ SET_LOW_WORD(s_h,0);
+ /* t_h=ax+bp[k] High */
+ t_h = zero;
+ SET_HIGH_WORD(t_h,((ix>>1)|0x20000000)+0x00080000+(k<<18));
+ 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 = 3.0+s2+r;
+ SET_LOW_WORD(t_h,0);
+ t_l = r-((t_h-3.0)-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;
+ SET_LOW_WORD(p_h,0);
+ 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 = (double)n;
+ t1 = (((z_h+z_l)+dp_h[k])+t);
+ SET_LOW_WORD(t1,0);
+ 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 = one / (ax + bp[k]);
- s = u * v;
- s_h = s;
- SET_LOW_WORD(s_h, 0);
- /* t_h=ax+bp[k] High */
- t_h = zero;
- SET_HIGH_WORD(t_h,
- ((ix >> 1) | 0x20000000) + 0x00080000 + (k << 18));
- 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 = 3.0 + s2 + r;
- SET_LOW_WORD(t_h, 0);
- t_l = r - ((t_h - 3.0) - 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;
- SET_LOW_WORD(p_h, 0);
- 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 = (double) n;
- t1 = (((z_h + z_l) + dp_h[k]) + t);
- SET_LOW_WORD(t1, 0);
- t2 = z_l - (((t1 - t) - dp_h[k]) - z_h);
- }
+ s = one; /* s (sign of result -ve**odd) = -1 else = 1 */
+ if(((((u_int32_t)hx>>31)-1)|(yisint-1))==0)
+ s = -one;/* (-ve)**(odd int) */
- s = one; /* s (sign of result -ve**odd) = -1 else = 1 */
- if (((((u_int32_t) hx >> 31) - 1) | (yisint - 1)) == 0)
- s = -one; /* (-ve)**(odd int) */
+ /* split up y into y1+y2 and compute (y1+y2)*(t1+t2) */
+ y1 = y;
+ SET_LOW_WORD(y1,0);
+ p_l = (y-y1)*t1+y*t2;
+ p_h = y1*t1;
+ z = p_l+p_h;
+ EXTRACT_WORDS(j,i,z);
+ if (j>=0x40900000) { /* z >= 1024 */
+ if(((j-0x40900000)|i)!=0) /* if z > 1024 */
+ return s*huge*huge; /* overflow */
+ else {
+ if(p_l+ovt>z-p_h) return s*huge*huge; /* overflow */
+ }
+ } else if((j&0x7fffffff)>=0x4090cc00 ) { /* z <= -1075 */
+ if(((j-0xc090cc00)|i)!=0) /* z < -1075 */
+ return s*tiny*tiny; /* underflow */
+ else {
+ if(p_l<=z-p_h) return s*tiny*tiny; /* underflow */
+ }
+ }
+ /*
+ * compute 2**(p_h+p_l)
+ */
+ i = j&0x7fffffff;
+ k = (i>>20)-0x3ff;
+ n = 0;
+ if(i>0x3fe00000) { /* if |z| > 0.5, set n = [z+0.5] */
+ n = j+(0x00100000>>(k+1));
+ k = ((n&0x7fffffff)>>20)-0x3ff; /* new k for n */
+ t = zero;
+ SET_HIGH_WORD(t,n&~(0x000fffff>>k));
+ n = ((n&0x000fffff)|0x00100000)>>(20-k);
+ if(j<0) n = -n;
+ p_h -= t;
+ }
+ t = p_l+p_h;
+ SET_LOW_WORD(t,0);
+ 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-two)-(w+z*w);
+ z = one-(r-z);
+ GET_HIGH_WORD(j,z);
+ j += (n<<20);
+ if((j>>20)<=0) z = scalbn(z,n); /* subnormal output */
+ else SET_HIGH_WORD(z,j);
+ return s*z;
+}
- /* split up y into y1+y2 and compute (y1+y2)*(t1+t2) */
- y1 = y;
- SET_LOW_WORD(y1, 0);
- p_l = (y - y1) * t1 + y * t2;
- p_h = y1 * t1;
- z = p_l + p_h;
- EXTRACT_WORDS(j, i, z);
- if (j >= 0x40900000) { /* z >= 1024 */
- if (((j - 0x40900000) | i) != 0) /* if z > 1024 */
- return s * huge_val * huge_val; /* overflow */
- else {
- if (p_l + ovt > z - p_h)
- return s * huge_val * huge_val; /* overflow */
- }
- } else if ((j & 0x7fffffff) >= 0x4090cc00) { /* z <= -1075 */
- if (((j - 0xc090cc00) | i) != 0) /* z < -1075 */
- return s * tiny * tiny; /* underflow */
- else {
- if (p_l <= z - p_h)
- return s * tiny * tiny; /* underflow */
- }
- }
- /*
- * compute 2**(p_h+p_l)
- */
- i = j & 0x7fffffff;
- k = (i >> 20) - 0x3ff;
- n = 0;
- if (i > 0x3fe00000) { /* if |z| > 0.5, set n = [z+0.5] */
- n = j + (0x00100000 >> (k + 1));
- k = ((n & 0x7fffffff) >> 20) - 0x3ff; /* new k for n */
- t = zero;
- SET_HIGH_WORD(t, n & ~(0x000fffff >> k));
- n = ((n & 0x000fffff) | 0x00100000) >> (20 - k);
- if (j < 0)
- n = -n;
- p_h -= t;
- }
- t = p_l + p_h;
- SET_LOW_WORD(t, 0);
- 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 - two) - (w + z * w);
- z = one - (r - z);
- GET_HIGH_WORD(j, z);
- j += (n << 20);
- if ((j >> 20) <= 0)
- z = scalbn(z, n); /* subnormal output */
- else
- SET_HIGH_WORD(z, j);
- return s * z;
- }
+/*
+ * wrapper pow(x,y) return x**y
+ */
+#ifndef _IEEE_LIBM
+double pow(double x, double y)
+{
+ double z = __ieee754_pow(x, y);
+ if (_LIB_VERSION == _IEEE_|| isnan(y))
+ return z;
+ if (isnan(x)) {
+ if (y == 0.0)
+ return __kernel_standard(x, y, 42); /* pow(NaN,0.0) */
+ return z;
+ }
+ if (x == 0.0) {
+ if (y == 0.0)
+ return __kernel_standard(x, y, 20); /* pow(0.0,0.0) */
+ if (isfinite(y) && y < 0.0)
+ return __kernel_standard(x,y,23); /* pow(0.0,negative) */
+ return z;
+ }
+ if (!isfinite(z)) {
+ if (isfinite(x) && isfinite(y)) {
+ if (isnan(z))
+ return __kernel_standard(x, y, 24); /* pow neg**non-int */
+ return __kernel_standard(x, y, 21); /* pow overflow */
+ }
+ }
+ if (z == 0.0 && isfinite(x) && isfinite(y))
+ return __kernel_standard(x, y, 22); /* pow underflow */
+ return z;
+}
+#else
+strong_alias(__ieee754_pow, pow)
+#endif
+libm_hidden_def(pow)
diff --git a/src/libm/e_rem_pio2.c b/src/libm/e_rem_pio2.c
index dfa5d94..df7c2b8 100644
--- a/src/libm/e_rem_pio2.c
+++ b/src/libm/e_rem_pio2.c
@@ -1,4 +1,3 @@
-/* @(#)e_rem_pio2.c 5.1 93/09/24 */
/*
* ====================================================
* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
@@ -10,11 +9,6 @@
* ====================================================
*/
-#if defined(LIBM_SCCS) && !defined(lint)
-static const char rcsid[] =
- "$NetBSD: e_rem_pio2.c,v 1.8 1995/05/10 20:46:02 jtc Exp $";
-#endif
-
/* __ieee754_rem_pio2(x,y)
*
* return the remainder of x rem pi/2 in y[0]+y[1]
@@ -24,42 +18,30 @@ static const char rcsid[] =
#include "math_libm.h"
#include "math_private.h"
-#include "SDL_assert.h"
-
-libm_hidden_proto(fabs)
-
/*
* Table of constants for 2/pi, 396 Hex digits (476 decimal) of 2/pi
*/
-#ifdef __STDC__
- static const int32_t two_over_pi[] = {
-#else
- static int32_t two_over_pi[] = {
-#endif
- 0xA2F983, 0x6E4E44, 0x1529FC, 0x2757D1, 0xF534DD, 0xC0DB62,
- 0x95993C, 0x439041, 0xFE5163, 0xABDEBB, 0xC561B7, 0x246E3A,
- 0x424DD2, 0xE00649, 0x2EEA09, 0xD1921C, 0xFE1DEB, 0x1CB129,
- 0xA73EE8, 0x8235F5, 0x2EBB44, 0x84E99C, 0x7026B4, 0x5F7E41,
- 0x3991D6, 0x398353, 0x39F49C, 0x845F8B, 0xBDF928, 0x3B1FF8,
- 0x97FFDE, 0x05980F, 0xEF2F11, 0x8B5A0A, 0x6D1F6D, 0x367ECF,
- 0x27CB09, 0xB74F46, 0x3F669E, 0x5FEA2D, 0x7527BA, 0xC7EBE5,
- 0xF17B3D, 0x0739F7, 0x8A5292, 0xEA6BFB, 0x5FB11F, 0x8D5D08,
- 0x560330, 0x46FC7B, 0x6BABF0, 0xCFBC20, 0x9AF436, 0x1DA9E3,
- 0x91615E, 0xE61B08, 0x659985, 0x5F14A0, 0x68408D, 0xFFD880,
- 0x4D7327, 0x310606, 0x1556CA, 0x73A8C9, 0x60E27B, 0xC08C6B,
- };
+static const int32_t two_over_pi[] = {
+0xA2F983, 0x6E4E44, 0x1529FC, 0x2757D1, 0xF534DD, 0xC0DB62,
+0x95993C, 0x439041, 0xFE5163, 0xABDEBB, 0xC561B7, 0x246E3A,
+0x424DD2, 0xE00649, 0x2EEA09, 0xD1921C, 0xFE1DEB, 0x1CB129,
+0xA73EE8, 0x8235F5, 0x2EBB44, 0x84E99C, 0x7026B4, 0x5F7E41,
+0x3991D6, 0x398353, 0x39F49C, 0x845F8B, 0xBDF928, 0x3B1FF8,
+0x97FFDE, 0x05980F, 0xEF2F11, 0x8B5A0A, 0x6D1F6D, 0x367ECF,
+0x27CB09, 0xB74F46, 0x3F669E, 0x5FEA2D, 0x7527BA, 0xC7EBE5,
+0xF17B3D, 0x0739F7, 0x8A5292, 0xEA6BFB, 0x5FB11F, 0x8D5D08,
+0x560330, 0x46FC7B, 0x6BABF0, 0xCFBC20, 0x9AF436, 0x1DA9E3,
+0x91615E, 0xE61B08, 0x659985, 0x5F14A0, 0x68408D, 0xFFD880,
+0x4D7327, 0x310606, 0x1556CA, 0x73A8C9, 0x60E27B, 0xC08C6B,
+};
-#ifdef __STDC__
static const int32_t npio2_hw[] = {
-#else
-static int32_t npio2_hw[] = {
-#endif
- 0x3FF921FB, 0x400921FB, 0x4012D97C, 0x401921FB, 0x401F6A7A, 0x4022D97C,
- 0x4025FDBB, 0x402921FB, 0x402C463A, 0x402F6A7A, 0x4031475C, 0x4032D97C,
- 0x40346B9C, 0x4035FDBB, 0x40378FDB, 0x403921FB, 0x403AB41B, 0x403C463A,
- 0x403DD85A, 0x403F6A7A, 0x40407E4C, 0x4041475C, 0x4042106C, 0x4042D97C,
- 0x4043A28C, 0x40446B9C, 0x404534AC, 0x4045FDBB, 0x4046C6CB, 0x40478FDB,
- 0x404858EB, 0x404921FB,
+0x3FF921FB, 0x400921FB, 0x4012D97C, 0x401921FB, 0x401F6A7A, 0x4022D97C,
+0x4025FDBB, 0x402921FB, 0x402C463A, 0x402F6A7A, 0x4031475C, 0x4032D97C,
+0x40346B9C, 0x4035FDBB, 0x40378FDB, 0x403921FB, 0x403AB41B, 0x403C463A,
+0x403DD85A, 0x403F6A7A, 0x40407E4C, 0x4041475C, 0x4042106C, 0x4042D97C,
+0x4043A28C, 0x40446B9C, 0x404534AC, 0x4045FDBB, 0x4046C6CB, 0x40478FDB,
+0x404858EB, 0x404921FB,
};
/*
@@ -72,137 +54,108 @@ static int32_t npio2_hw[] = {
* pio2_3t: pi/2 - (pio2_1+pio2_2+pio2_3)
*/
-#ifdef __STDC__
static const double
-#else
-static double
-#endif
- zero = 0.00000000000000000000e+00, /* 0x00000000, 0x00000000 */
- half = 5.00000000000000000000e-01, /* 0x3FE00000, 0x00000000 */
- two24 = 1.67772160000000000000e+07, /* 0x41700000, 0x00000000 */
- invpio2 = 6.36619772367581382433e-01, /* 0x3FE45F30, 0x6DC9C883 */
- pio2_1 = 1.57079632673412561417e+00, /* 0x3FF921FB, 0x54400000 */
- pio2_1t = 6.07710050650619224932e-11, /* 0x3DD0B461, 0x1A626331 */
- pio2_2 = 6.07710050630396597660e-11, /* 0x3DD0B461, 0x1A600000 */
- pio2_2t = 2.02226624879595063154e-21, /* 0x3BA3198A, 0x2E037073 */
- pio2_3 = 2.02226624871116645580e-21, /* 0x3BA3198A, 0x2E000000 */
- pio2_3t = 8.47842766036889956997e-32; /* 0x397B839A, 0x252049C1 */
+zero = 0.00000000000000000000e+00, /* 0x00000000, 0x00000000 */
+half = 5.00000000000000000000e-01, /* 0x3FE00000, 0x00000000 */
+two24 = 1.67772160000000000000e+07, /* 0x41700000, 0x00000000 */
+invpio2 = 6.36619772367581382433e-01, /* 0x3FE45F30, 0x6DC9C883 */
+pio2_1 = 1.57079632673412561417e+00, /* 0x3FF921FB, 0x54400000 */
+pio2_1t = 6.07710050650619224932e-11, /* 0x3DD0B461, 0x1A626331 */
+pio2_2 = 6.07710050630396597660e-11, /* 0x3DD0B461, 0x1A600000 */
+pio2_2t = 2.02226624879595063154e-21, /* 0x3BA3198A, 0x2E037073 */
+pio2_3 = 2.02226624871116645580e-21, /* 0x3BA3198A, 0x2E000000 */
+pio2_3t = 8.47842766036889956997e-32; /* 0x397B839A, 0x252049C1 */
-#ifdef __STDC__
-int32_t attribute_hidden
-__ieee754_rem_pio2(double x, double *y)
-#else
-int32_t attribute_hidden
-__ieee754_rem_pio2(x, y)
- double x, y[];
-#endif
+int32_t attribute_hidden __ieee754_rem_pio2(double x, double *y)
{
- double z = 0.0, w, t, r, fn;
- double tx[3];
- int32_t e0, i, j, nx, n, ix, hx;
- u_int32_t low;
+ double z=0.0,w,t,r,fn;
+ double tx[3];
+ int32_t e0,i,j,nx,n,ix,hx;
+ u_int32_t low;
- GET_HIGH_WORD(hx, x); /* high word of x */
- ix = hx & 0x7fffffff;
- if (ix <= 0x3fe921fb) { /* |x| ~<= pi/4 , no need for reduction */
- y[0] = x;
- y[1] = 0;
- return 0;
- }
- if (ix < 0x4002d97c) { /* |x| < 3pi/4, special case with n=+-1 */
- if (hx > 0) {
- z = x - pio2_1;
- if (ix != 0x3ff921fb) { /* 33+53 bit pi is good enough */
- y[0] = z - pio2_1t;
- y[1] = (z - y[0]) - pio2_1t;
- } else { /* near pi/2, use 33+33+53 bit pi */
- z -= pio2_2;
- y[0] = z - pio2_2t;
- y[1] = (z - y[0]) - pio2_2t;
- }
- return 1;
- } else { /* negative x */
- z = x + pio2_1;
- if (ix != 0x3ff921fb) { /* 33+53 bit pi is good enough */
- y[0] = z + pio2_1t;
- y[1] = (z - y[0]) + pio2_1t;
- } else { /* near pi/2, use 33+33+53 bit pi */
- z += pio2_2;
- y[0] = z + pio2_2t;
- y[1] = (z - y[0]) + pio2_2t;
- }
- return -1;
- }
- }
- if (ix <= 0x413921fb) { /* |x| ~<= 2^19*(pi/2), medium size */
- t = fabs(x);
- n = (int32_t) (t * invpio2 + half);
- fn = (double) n;
- r = t - fn * pio2_1;
- w = fn * pio2_1t; /* 1st round good to 85 bit */
- if (n < 32 && ix != npio2_hw[n - 1]) {
- y[0] = r - w; /* quick check no cancellation */
- } else {
- u_int32_t high;
- j = ix >> 20;
- y[0] = r - w;
- GET_HIGH_WORD(high, y[0]);
- i = j - ((high >> 20) & 0x7ff);
- if (i > 16) { /* 2nd iteration needed, good to 118 */
- t = r;
- w = fn * pio2_2;
- r = t - w;
- w = fn * pio2_2t - ((t - r) - w);
- y[0] = r - w;
- GET_HIGH_WORD(high, y[0]);
- i = j - ((high >> 20) & 0x7ff);
- if (i > 49) { /* 3rd iteration need, 151 bits acc */
- t = r; /* will cover all possible cases */
- w = fn * pio2_3;
- r = t - w;
- w = fn * pio2_3t - ((t - r) - w);
- y[0] = r - w;
- }
- }
- }
- y[1] = (r - y[0]) - w;
- if (hx < 0) {
- y[0] = -y[0];
- y[1] = -y[1];
- return -n;
- } else
- return n;
- }
+ GET_HIGH_WORD(hx,x); /* high word of x */
+ ix = hx&0x7fffffff;
+ if(ix<=0x3fe921fb) /* |x| ~<= pi/4 , no need for reduction */
+ {y[0] = x; y[1] = 0; return 0;}
+ if(ix<0x4002d97c) { /* |x| < 3pi/4, special case with n=+-1 */
+ if(hx>0) {
+ z = x - pio2_1;
+ if(ix!=0x3ff921fb) { /* 33+53 bit pi is good enough */
+ y[0] = z - pio2_1t;
+ y[1] = (z-y[0])-pio2_1t;
+ } else { /* near pi/2, use 33+33+53 bit pi */
+ z -= pio2_2;
+ y[0] = z - pio2_2t;
+ y[1] = (z-y[0])-pio2_2t;
+ }
+ return 1;
+ } else { /* negative x */
+ z = x + pio2_1;
+ if(ix!=0x3ff921fb) { /* 33+53 bit pi is good enough */
+ y[0] = z + pio2_1t;
+ y[1] = (z-y[0])+pio2_1t;
+ } else { /* near pi/2, use 33+33+53 bit pi */
+ z += pio2_2;
+ y[0] = z + pio2_2t;
+ y[1] = (z-y[0])+pio2_2t;
+ }
+ return -1;
+ }
+ }
+ if(ix<=0x413921fb) { /* |x| ~<= 2^19*(pi/2), medium size */
+ t = fabs(x);
+ n = (int32_t) (t*invpio2+half);
+ fn = (double)n;
+ r = t-fn*pio2_1;
+ w = fn*pio2_1t; /* 1st round good to 85 bit */
+ if(n<32&&ix!=npio2_hw[n-1]) {
+ y[0] = r-w; /* quick check no cancellation */
+ } else {
+ u_int32_t high;
+ j = ix>>20;
+ y[0] = r-w;
+ GET_HIGH_WORD(high,y[0]);
+ i = j-((high>>20)&0x7ff);
+ if(i>16) { /* 2nd iteration needed, good to 118 */
+ t = r;
+ w = fn*pio2_2;
+ r = t-w;
+ w = fn*pio2_2t-((t-r)-w);
+ y[0] = r-w;
+ GET_HIGH_WORD(high,y[0]);
+ i = j-((high>>20)&0x7ff);
+ if(i>49) { /* 3rd iteration need, 151 bits acc */
+ t = r; /* will cover all possible cases */
+ w = fn*pio2_3;
+ r = t-w;
+ w = fn*pio2_3t-((t-r)-w);
+ y[0] = r-w;
+ }
+ }
+ }
+ y[1] = (r-y[0])-w;
+ if(hx<0) {y[0] = -y[0]; y[1] = -y[1]; return -n;}
+ else return n;
+ }
/*
* all other (large) arguments
*/
- if (ix >= 0x7ff00000) { /* x is inf or NaN */
- y[0] = y[1] = x - x;
- return 0;
- }
+ if(ix>=0x7ff00000) { /* x is inf or NaN */
+ y[0]=y[1]=x-x; return 0;
+ }
/* set z = scalbn(|x|,ilogb(x)-23) */
- GET_LOW_WORD(low, x);
- SET_LOW_WORD(z, low);
- e0 = (ix >> 20) - 1046; /* e0 = ilogb(z)-23; */
- SET_HIGH_WORD(z, ix - ((int32_t) (e0 << 20)));
- for (i = 0; i < 2; i++) {
- tx[i] = (double) ((int32_t) (z));
- z = (z - tx[i]) * two24;
- }
- tx[2] = z;
- nx = 3;
-
- /* If this assertion ever fires, here's the static analysis that warned about it:
- http://buildbot.libsdl.org/sdl-static-analysis/sdl-macosx-static-analysis/sdl-macosx-static-analysis-1101/report-8c6ccb.html#EndPath */
- SDL_assert((tx[0] != zero) || (tx[1] != zero) || (tx[2] != zero));
-
- while (nx && tx[nx - 1] == zero)
- nx--; /* skip zero term */
- n = __kernel_rem_pio2(tx, y, e0, nx, 2, two_over_pi);
- if (hx < 0) {
- y[0] = -y[0];
- y[1] = -y[1];
- return -n;
- }
- return n;
+ GET_LOW_WORD(low,x);
+ SET_LOW_WORD(z,low);
+ e0 = (ix>>20)-1046; /* e0 = ilogb(z)-23; */
+ SET_HIGH_WORD(z, ix - ((int32_t)(e0<<20)));
+ for(i=0;i<2;i++) {
+ tx[i] = (double)((int32_t)(z));
+ z = (z-tx[i])*two24;
+ }
+ tx[2] = z;
+ nx = 3;
+ while(tx[nx-1]==zero) nx--; /* skip zero term */
+ n = __kernel_rem_pio2(tx,y,e0,nx,2,two_over_pi);
+ if(hx<0) {y[0] = -y[0]; y[1] = -y[1]; return -n;}
+ return n;
}
diff --git a/src/libm/e_sqrt.c b/src/libm/e_sqrt.c
index b8b8bec..39c83e1 100644
--- a/src/libm/e_sqrt.c
+++ b/src/libm/e_sqrt.c
@@ -1,4 +1,3 @@
-/* @(#)e_sqrt.c 5.1 93/09/24 */
/*
* ====================================================
* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
@@ -10,11 +9,6 @@
* ====================================================
*/
-#if defined(LIBM_SCCS) && !defined(lint)
-static const char rcsid[] =
- "$NetBSD: e_sqrt.c,v 1.8 1995/05/10 20:46:17 jtc Exp $";
-#endif
-
/* __ieee754_sqrt(x)
* Return correctly rounded sqrt.
* ------------------------------------------
@@ -88,125 +82,124 @@ static const char rcsid[] =
#include "math_libm.h"
#include "math_private.h"
-#ifdef __STDC__
static const double one = 1.0, tiny = 1.0e-300;
-#else
-static double one = 1.0, tiny = 1.0e-300;
-#endif
-#ifdef __STDC__
-double attribute_hidden
-__ieee754_sqrt(double x)
-#else
-double attribute_hidden
-__ieee754_sqrt(x)
- double x;
-#endif
+double attribute_hidden __ieee754_sqrt(double x)
{
- double z;
- int32_t sign = (int) 0x80000000;
- int32_t ix0, s0, q, m, t, i;
- u_int32_t r, t1, s1, ix1, q1;
+ double z;
+ int32_t sign = (int)0x80000000;
+ int32_t ix0,s0,q,m,t,i;
+ u_int32_t r,t1,s1,ix1,q1;
- EXTRACT_WORDS(ix0, ix1, x);
+ EXTRACT_WORDS(ix0,ix1,x);
/* take care of Inf and NaN */
- if ((ix0 & 0x7ff00000) == 0x7ff00000) {
- return x * x + x; /* sqrt(NaN)=NaN, sqrt(+inf)=+inf
- sqrt(-inf)=sNaN */
- }
+ if((ix0&0x7ff00000)==0x7ff00000) {
+ return x*x+x; /* sqrt(NaN)=NaN, sqrt(+inf)=+inf
+ sqrt(-inf)=sNaN */
+ }
/* take care of zero */
- if (ix0 <= 0) {
- if (((ix0 & (~sign)) | ix1) == 0)
- return x; /* sqrt(+-0) = +-0 */
- else if (ix0 < 0)
- return (x - x) / (x - x); /* sqrt(-ve) = sNaN */
- }
+ if(ix0<=0) {
+ if(((ix0&(~sign))|ix1)==0) return x;/* sqrt(+-0) = +-0 */
+ else if(ix0<0)
+ return (x-x)/(x-x); /* sqrt(-ve) = sNaN */
+ }
/* normalize x */
- m = (ix0 >> 20);
- if (m == 0) { /* subnormal x */
- while (ix0 == 0) {
- m -= 21;
- ix0 |= (ix1 >> 11);
- ix1 <<= 21;
- }
- for (i = 0; (ix0 & 0x00100000) == 0; i++)
- ix0 <<= 1;
- m -= i - 1;
- ix0 |= (ix1 >> (32 - i));
- ix1 <<= i;
- }
- m -= 1023; /* unbias exponent */
- ix0 = (ix0 & 0x000fffff) | 0x00100000;
- if (m & 1) { /* odd m, double x to make it even */
- ix0 += ix0 + ((ix1 & sign) >> 31);
- ix1 += ix1;
- }
- m >>= 1; /* m = [m/2] */
+ m = (ix0>>20);
+ if(m==0) { /* subnormal x */
+ while(ix0==0) {
+ m -= 21;
+ ix0 |= (ix1>>11); ix1 <<= 21;
+ }
+ for(i=0;(ix0&0x00100000)==0;i++) ix0<<=1;
+ m -= i-1;
+ ix0 |= (ix1>>(32-i));
+ ix1 <<= i;
+ }
+ m -= 1023; /* unbias exponent */
+ ix0 = (ix0&0x000fffff)|0x00100000;
+ if(m&1){ /* odd m, double x to make it even */
+ ix0 += ix0 + ((ix1&sign)>>31);
+ ix1 += ix1;
+ }
+ m >>= 1; /* m = [m/2] */
/* generate sqrt(x) bit by bit */
- ix0 += ix0 + ((ix1 & sign) >> 31);
- ix1 += ix1;
- q = q1 = s0 = s1 = 0; /* [q,q1] = sqrt(x) */
- r = 0x00200000; /* r = moving bit from right to left */
-
- while (r != 0) {
- t = s0 + r;
- if (t <= ix0) {
- s0 = t + r;
- ix0 -= t;
- q += r;
- }
- ix0 += ix0 + ((ix1 & sign) >> 31);
- ix1 += ix1;
- r >>= 1;
- }
-
- r = sign;
- while (r != 0) {
- t1 = s1 + r;
- t = s0;
- if ((t < ix0) || ((t == ix0) && (t1 <= ix1))) {
- s1 = t1 + r;
- if (((t1 & sign) == sign) && (s1 & sign) == 0)
- s0 += 1;
- ix0 -= t;
- if (ix1 < t1)
- ix0 -= 1;
- ix1 -= t1;
- q1 += r;
- }
- ix0 += ix0 + ((ix1 & sign) >> 31);
- ix1 += ix1;
- r >>= 1;
- }
+ ix0 += ix0 + ((ix1&sign)>>31);
+ ix1 += ix1;
+ q = q1 = s0 = s1 = 0; /* [q,q1] = sqrt(x) */
+ r = 0x00200000; /* r = moving bit from right to left */
+
+ while(r!=0) {
+ t = s0+r;
+ if(t<=ix0) {
+ s0 = t+r;
+ ix0 -= t;
+ q += r;
+ }
+ ix0 += ix0 + ((ix1&sign)>>31);
+ ix1 += ix1;
+ r>>=1;
+ }
+
+ r = sign;
+ while(r!=0) {
+ t1 = s1+r;
+ t = s0;
+ if((t<ix0)||((t==ix0)&&(t1<=ix1))) {
+ s1 = t1+r;
+ if(((t1&sign)==sign)&&(s1&sign)==0) s0 += 1;
+ ix0 -= t;
+ if (ix1 < t1) ix0 -= 1;
+ ix1 -= t1;
+ q1 += r;
+ }
+ ix0 += ix0 + ((ix1&sign)>>31);
+ ix1 += ix1;
+ r>>=1;
+ }
/* use floating add to find out rounding direction */
- if ((ix0 | ix1) != 0) {
- z = one - tiny; /* trigger inexact flag */
- if (z >= one) {
- z = one + tiny;
- if (q1 == (u_int32_t) 0xffffffff) {
- q1 = 0;
- q += 1;
- } else if (z > one) {
- if (q1 == (u_int32_t) 0xfffffffe)
- q += 1;
- q1 += 2;
- } else
- q1 += (q1 & 1);
- }
- }
- ix0 = (q >> 1) + 0x3fe00000;
- ix1 = q1 >> 1;
- if ((q & 1) == 1)
- ix1 |= sign;
- ix0 += (m << 20);
- INSERT_WORDS(z, ix0, ix1);
- return z;
+ if((ix0|ix1)!=0) {
+ z = one-tiny; /* trigger inexact flag */
+ if (z>=one) {
+ z = one+tiny;
+ if (q1==(u_int32_t)0xffffffff) { q1=0; q += 1;}
+ else if (z>one) {
+ if (q1==(u_int32_t)0xfffffffe) q+=1;
+ q1+=2;
+ } else
+ q1 += (q1&1);
+ }
+ }
+ ix0 = (q>>1)+0x3fe00000;
+ ix1 = q1>>1;
+ if ((q&1)==1) ix1 |= sign;
+ ix0 += (m <<20);
+ INSERT_WORDS(z,ix0,ix1);
+ return z;
}
/*
+ * wrapper sqrt(x)
+ */
+#ifndef _IEEE_LIBM
+double sqrt(double x)
+{
+ double z = __ieee754_sqrt(x);
+ if (_LIB_VERSION == _IEEE_ || isnan(x))
+ return z;
+ if (x < 0.0)
+ return __kernel_standard(x, x, 26); /* sqrt(negative) */
+ return z;
+}
+#else
+strong_alias(__ieee754_sqrt, sqrt)
+#endif
+libm_hidden_def(sqrt)
+
+
+/*
Other methods (use floating-point arithmetic)
-------------
(This is a copy of a drafted paper by Prof W. Kahan
diff --git a/src/libm/k_cos.c b/src/libm/k_cos.c
index 64c50e3..e1326fa 100644
--- a/src/libm/k_cos.c
+++ b/src/libm/k_cos.c
@@ -1,4 +1,3 @@
-/* @(#)k_cos.c 5.1 93/09/24 */
/*
* ====================================================
* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
@@ -10,11 +9,6 @@
* ====================================================
*/
-#if defined(LIBM_SCCS) && !defined(lint)
-static const char rcsid[] =
- "$NetBSD: k_cos.c,v 1.8 1995/05/10 20:46:22 jtc Exp $";
-#endif
-
/*
* __kernel_cos( x, y )
* kernel cos function on [-pi/4, pi/4], pi/4 ~ 0.785398164
@@ -53,48 +47,36 @@ static const char rcsid[] =
#include "math_libm.h"
#include "math_private.h"
-#ifdef __STDC__
static const double
-#else
-static double
-#endif
- one = 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */
- C1 = 4.16666666666666019037e-02, /* 0x3FA55555, 0x5555554C */
- C2 = -1.38888888888741095749e-03, /* 0xBF56C16C, 0x16C15177 */
- C3 = 2.48015872894767294178e-05, /* 0x3EFA01A0, 0x19CB1590 */
- C4 = -2.75573143513906633035e-07, /* 0xBE927E4F, 0x809C52AD */
- C5 = 2.08757232129817482790e-09, /* 0x3E21EE9E, 0xBDB4B1C4 */
- C6 = -1.13596475577881948265e-11; /* 0xBDA8FAE9, 0xBE8838D4 */
+one = 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */
+C1 = 4.16666666666666019037e-02, /* 0x3FA55555, 0x5555554C */
+C2 = -1.38888888888741095749e-03, /* 0xBF56C16C, 0x16C15177 */
+C3 = 2.48015872894767294178e-05, /* 0x3EFA01A0, 0x19CB1590 */
+C4 = -2.75573143513906633035e-07, /* 0xBE927E4F, 0x809C52AD */
+C5 = 2.08757232129817482790e-09, /* 0x3E21EE9E, 0xBDB4B1C4 */
+C6 = -1.13596475577881948265e-11; /* 0xBDA8FAE9, 0xBE8838D4 */
-#ifdef __STDC__
-double attribute_hidden
-__kernel_cos(double x, double y)
-#else
-double attribute_hidden
-__kernel_cos(x, y)
- double x, y;
-#endif
+double attribute_hidden __kernel_cos(double x, double y)
{
- double a, hz, z, r, qx;
- int32_t ix;
- GET_HIGH_WORD(ix, x);
- ix &= 0x7fffffff; /* ix = |x|'s high word */
- if (ix < 0x3e400000) { /* if x < 2**27 */
- if (((int) x) == 0)
- return one; /* generate inexact */
- }
- z = x * x;
- r = z * (C1 + z * (C2 + z * (C3 + z * (C4 + z * (C5 + z * C6)))));
- if (ix < 0x3FD33333) /* if |x| < 0.3 */
- return one - (0.5 * z - (z * r - x * y));
- else {
- if (ix > 0x3fe90000) { /* x > 0.78125 */
- qx = 0.28125;
- } else {
- INSERT_WORDS(qx, ix - 0x00200000, 0); /* x/4 */
- }
- hz = 0.5 * z - qx;
- a = one - qx;
- return a - (hz - (z * r - x * y));
- }
+ double a,hz,z,r,qx;
+ int32_t ix;
+ GET_HIGH_WORD(ix,x);
+ ix &= 0x7fffffff; /* ix = |x|'s high word*/
+ if(ix<0x3e400000) { /* if x < 2**27 */
+ if(((int)x)==0) return one; /* generate inexact */
+ }
+ z = x*x;
+ r = z*(C1+z*(C2+z*(C3+z*(C4+z*(C5+z*C6)))));
+ if(ix < 0x3FD33333) /* if |x| < 0.3 */
+ return one - (0.5*z - (z*r - x*y));
+ else {
+ if(ix > 0x3fe90000) { /* x > 0.78125 */
+ qx = 0.28125;
+ } else {
+ INSERT_WORDS(qx,ix-0x00200000,0); /* x/4 */
+ }
+ hz = 0.5*z-qx;
+ a = one-qx;
+ return a - (hz - (z*r-x*y));
+ }
}
diff --git a/src/libm/k_rem_pio2.c b/src/libm/k_rem_pio2.c
index 50e1d52..9956d95 100644
--- a/src/libm/k_rem_pio2.c
+++ b/src/libm/k_rem_pio2.c
@@ -1,4 +1,3 @@
-/* @(#)k_rem_pio2.c 5.1 93/09/24 */
/*
* ====================================================
* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
@@ -10,11 +9,6 @@
* ====================================================
*/
-#if defined(LIBM_SCCS) && !defined(lint)
-static const char rcsid[] =
- "$NetBSD: k_rem_pio2.c,v 1.7 1995/05/10 20:46:25 jtc Exp $";
-#endif
-
/*
* __kernel_rem_pio2(x,y,e0,nx,prec,ipio2)
* double x[],y[]; int e0,nx,prec; int ipio2[];
@@ -134,235 +128,171 @@ static const char rcsid[] =
#include "math_libm.h"
#include "math_private.h"
-#include "SDL_assert.h"
-
-libm_hidden_proto(scalbn)
- libm_hidden_proto(floor)
-#ifdef __STDC__
- static const int init_jk[] = { 2, 3, 4, 6 }; /* initial value for jk */
-#else
- static int init_jk[] = { 2, 3, 4, 6 };
-#endif
+static const int init_jk[] = {2,3,4,6}; /* initial value for jk */
-#ifdef __STDC__
static const double PIo2[] = {
-#else
-static double PIo2[] = {
-#endif
- 1.57079625129699707031e+00, /* 0x3FF921FB, 0x40000000 */
- 7.54978941586159635335e-08, /* 0x3E74442D, 0x00000000 */
- 5.39030252995776476554e-15, /* 0x3CF84698, 0x80000000 */
- 3.28200341580791294123e-22, /* 0x3B78CC51, 0x60000000 */
- 1.27065575308067607349e-29, /* 0x39F01B83, 0x80000000 */
- 1.22933308981111328932e-36, /* 0x387A2520, 0x40000000 */
- 2.73370053816464559624e-44, /* 0x36E38222, 0x80000000 */
- 2.16741683877804819444e-51, /* 0x3569F31D, 0x00000000 */
+ 1.57079625129699707031e+00, /* 0x3FF921FB, 0x40000000 */
+ 7.54978941586159635335e-08, /* 0x3E74442D, 0x00000000 */
+ 5.39030252995776476554e-15, /* 0x3CF84698, 0x80000000 */
+ 3.28200341580791294123e-22, /* 0x3B78CC51, 0x60000000 */
+ 1.27065575308067607349e-29, /* 0x39F01B83, 0x80000000 */
+ 1.22933308981111328932e-36, /* 0x387A2520, 0x40000000 */
+ 2.73370053816464559624e-44, /* 0x36E38222, 0x80000000 */
+ 2.16741683877804819444e-51, /* 0x3569F31D, 0x00000000 */
};
-#ifdef __STDC__
static const double
-#else
-static double
-#endif
- zero = 0.0, one = 1.0, two24 = 1.67772160000000000000e+07, /* 0x41700000, 0x00000000 */
- twon24 = 5.96046447753906250000e-08; /* 0x3E700000, 0x00000000 */
+zero = 0.0,
+one = 1.0,
+two24 = 1.67772160000000000000e+07, /* 0x41700000, 0x00000000 */
+twon24 = 5.96046447753906250000e-08; /* 0x3E700000, 0x00000000 */
-#ifdef __STDC__
-int attribute_hidden
-__kernel_rem_pio2(double *x, double *y, int e0, int nx, int prec,
- const int32_t * ipio2)
-#else
-int attribute_hidden
-__kernel_rem_pio2(x, y, e0, nx, prec, ipio2)
- double x[], y[];
- int e0, nx, prec;
- int32_t ipio2[];
-#endif
+int attribute_hidden __kernel_rem_pio2(double *x, double *y, int e0, int nx, int prec, const int32_t *ipio2)
{
- int32_t jz, jx, jv, jp, jk, carry, n, iq[20], i, j, k, m, q0, ih;
- double z, fw, f[20], fq[20], q[20];
+ int32_t jz,jx,jv,jp,jk,carry,n,iq[20],i,j,k,m,q0,ih;
+ double z,fw,f[20],fq[20],q[20];
- /* initialize jk */
- SDL_assert((prec >= 0) && (prec < SDL_arraysize(init_jk)));
- jk = init_jk[prec];
- SDL_assert((jk >= 2) && (jk <= 6));
- jp = jk;
+ /* initialize jk*/
+ jk = init_jk[prec];
+ jp = jk;
/* determine jx,jv,q0, note that 3>q0 */
- SDL_assert(nx > 0);
- jx = nx - 1;
- jv = (e0 - 3) / 24;
- if (jv < 0)
- jv = 0;
- q0 = e0 - 24 * (jv + 1);
+ jx = nx-1;
+ jv = (e0-3)/24; if(jv<0) jv=0;
+ q0 = e0-24*(jv+1);
/* set up f[0] to f[jx+jk] where f[jx+jk] = ipio2[jv+jk] */
- j = jv - jx;
- m = jx + jk;
- for (i = 0; i <= m; i++, j++)
- f[i] = (j < 0) ? zero : (double) ipio2[j];
+ j = jv-jx; m = jx+jk;
+ for(i=0;i<=m;i++,j++) f[i] = (j<0)? zero : (double) ipio2[j];
/* compute q[0],q[1],...q[jk] */
- for (i = 0; i <= jk; i++) {
- for (j = 0, fw = 0.0; j <= jx; j++) {
- const int32_t idx = jx + i - j;
- SDL_assert(idx >= 0);
- SDL_assert(idx < 20);
- SDL_assert(idx <= m);
- fw += x[j] * f[idx];
- }
- q[i] = fw;
- }
+ for (i=0;i<=jk;i++) {
+ for(j=0,fw=0.0;j<=jx;j++) fw += x[j]*f[jx+i-j]; q[i] = fw;
+ }
- jz = jk;
- recompute:
+ jz = jk;
+recompute:
/* distill q[] into iq[] reversingly */
- for (i = 0, j = jz, z = q[jz]; j > 0; i++, j--) {
- fw = (double) ((int32_t) (twon24 * z));
- iq[i] = (int32_t) (z - two24 * fw);
- z = q[j - 1] + fw;
- }
+ for(i=0,j=jz,z=q[jz];j>0;i++,j--) {
+ fw = (double)((int32_t)(twon24* z));
+ iq[i] = (int32_t)(z-two24*fw);
+ z = q[j-1]+fw;
+ }
/* compute n */
- z = scalbn(z, q0); /* actual value of z */
- z -= 8.0 * floor(z * 0.125); /* trim off integer >= 8 */
- n = (int32_t) z;
- z -= (double) n;
- ih = 0;
- if (q0 > 0) { /* need iq[jz-1] to determine n */
- i = (iq[jz - 1] >> (24 - q0));
- n += i;
- iq[jz - 1] -= i << (24 - q0);
- ih = iq[jz - 1] >> (23 - q0);
- } else if (q0 == 0)
- ih = iq[jz - 1] >> 23;
- else if (z >= 0.5)
- ih = 2;
+ z = scalbn(z,q0); /* actual value of z */
+ z -= 8.0*floor(z*0.125); /* trim off integer >= 8 */
+ n = (int32_t) z;
+ z -= (double)n;
+ ih = 0;
+ if(q0>0) { /* need iq[jz-1] to determine n */
+ i = (iq[jz-1]>>(24-q0)); n += i;
+ iq[jz-1] -= i<<(24-q0);
+ ih = iq[jz-1]>>(23-q0);
+ }
+ else if(q0==0) ih = iq[jz-1]>>23;
+ else if(z>=0.5) ih=2;
- if (ih > 0) { /* q > 0.5 */
- n += 1;
- carry = 0;
- for (i = 0; i < jz; i++) { /* compute 1-q */
- j = iq[i];
- if (carry == 0) {
- if (j != 0) {
- carry = 1;
- iq[i] = 0x1000000 - j;
- }
- } else
- iq[i] = 0xffffff - j;
- }
- if (q0 > 0) { /* rare case: chance is 1 in 12 */
- switch (q0) {
- case 1:
- iq[jz - 1] &= 0x7fffff;
- break;
- case 2:
- iq[jz - 1] &= 0x3fffff;
- break;
- }
- }
- if (ih == 2) {
- z = one - z;
- if (carry != 0)
- z -= scalbn(one, q0);
- }
- }
+ if(ih>0) { /* q > 0.5 */
+ n += 1; carry = 0;
+ for(i=0;i<jz ;i++) { /* compute 1-q */
+ j = iq[i];
+ if(carry==0) {
+ if(j!=0) {
+ carry = 1; iq[i] = 0x1000000- j;
+ }
+ } else iq[i] = 0xffffff - j;
+ }
+ if(q0>0) { /* rare case: chance is 1 in 12 */
+ switch(q0) {
+ case 1:
+ iq[jz-1] &= 0x7fffff; break;
+ case 2:
+ iq[jz-1] &= 0x3fffff; break;
+ }
+ }
+ if(ih==2) {
+ z = one - z;
+ if(carry!=0) z -= scalbn(one,q0);
+ }
+ }
/* check if recomputation is needed */
- if (z == zero) {
- j = 0;
- for (i = jz - 1; i >= jk; i--)
- j |= iq[i];
- if (j == 0) { /* need recomputation */
- for (k = 1; iq[jk - k] == 0; k++); /* k = no. of terms needed */
+ if(z==zero) {
+ j = 0;
+ for (i=jz-1;i>=jk;i--) j |= iq[i];
+ if(j==0) { /* need recomputation */
+ for(k=1;iq[jk-k]==0;k++); /* k = no. of terms needed */
- for (i = jz + 1; i <= jz + k; i++) { /* add q[jz+1] to q[jz+k] */
- f[jx + i] = (double) ipio2[jv + i];
- for (j = 0, fw = 0.0; j <= jx; j++)
- fw += x[j] * f[jx + i - j];
- q[i] = fw;
- }
- jz += k;
- goto recompute;
- }
- }
+ for(i=jz+1;i<=jz+k;i++) { /* add q[jz+1] to q[jz+k] */
+ f[jx+i] = (double) ipio2[jv+i];
+ for(j=0,fw=0.0;j<=jx;j++) fw += x[j]*f[jx+i-j];
+ q[i] = fw;
+ }
+ jz += k;
+ goto recompute;
+ }
+ }
/* chop off zero terms */
- if (z == 0.0) {
- jz -= 1;
- q0 -= 24;
- while (iq[jz] == 0) {
- jz--;
- q0 -= 24;
- }
- } else { /* break z into 24-bit if necessary */
- z = scalbn(z, -q0);
- if (z >= two24) {
- fw = (double) ((int32_t) (twon24 * z));
- iq[jz] = (int32_t) (z - two24 * fw);
- jz += 1;
- q0 += 24;
- iq[jz] = (int32_t) fw;
- } else
- iq[jz] = (int32_t) z;
- }
+ if(z==0.0) {
+ jz -= 1; q0 -= 24;
+ while(iq[jz]==0) { jz--; q0-=24;}
+ } else { /* break z into 24-bit if necessary */
+ z = scalbn(z,-q0);
+ if(z>=two24) {
+ fw = (double)((int32_t)(twon24*z));
+ iq[jz] = (int32_t)(z-two24*fw);
+ jz += 1; q0 += 24;
+ iq[jz] = (int32_t) fw;
+ } else iq[jz] = (int32_t) z ;
+ }
/* convert integer "bit" chunk to floating-point value */
- fw = scalbn(one, q0);
- for (i = jz; i >= 0; i--) {
- q[i] = fw * (double) iq[i];
- fw *= twon24;
- }
+ fw = scalbn(one,q0);
+ for(i=jz;i>=0;i--) {
+ q[i] = fw*(double)iq[i]; fw*=twon24;
+ }
/* compute PIo2[0,...,jp]*q[jz,...,0] */
- for (i = jz; i >= 0; i--) {
- for (fw = 0.0, k = 0; k <= jp && k <= jz - i; k++)
- fw += PIo2[k] * q[i + k];
- fq[jz - i] = fw;
- }
+ for(i=jz;i>=0;i--) {
+ for(fw=0.0,k=0;k<=jp&&k<=jz-i;k++) fw += PIo2[k]*q[i+k];
+ fq[jz-i] = fw;
+ }
/* compress fq[] into y[] */
- switch (prec) {
- case 0:
- fw = 0.0;
- for (i = jz; i >= 0; i--)
- fw += fq[i];
- y[0] = (ih == 0) ? fw : -fw;
- break;
- case 1:
- case 2:
- fw = 0.0;
- for (i = jz; i >= 0; i--)
- fw += fq[i];
- y[0] = (ih == 0) ? fw : -fw;
- fw = fq[0] - fw;
- for (i = 1; i <= jz; i++)
- fw += fq[i];
- y[1] = (ih == 0) ? fw : -fw;
- break;
- case 3: /* painful */
- for (i = jz; i > 0; i--) {
- fw = fq[i - 1] + fq[i];
- fq[i] += fq[i - 1] - fw;
- fq[i - 1] = fw;
- }
- for (i = jz; i > 1; i--) {
- fw = fq[i - 1] + fq[i];
- fq[i] += fq[i - 1] - fw;
- fq[i - 1] = fw;
- }
- for (fw = 0.0, i = jz; i >= 2; i--)
- fw += fq[i];
- if (ih == 0) {
- y[0] = fq[0];
- y[1] = fq[1];
- y[2] = fw;
- } else {
- y[0] = -fq[0];
- y[1] = -fq[1];
- y[2] = -fw;
- }
- }
- return n & 7;
+ switch(prec) {
+ case 0:
+ fw = 0.0;
+ for (i=jz;i>=0;i--) fw += fq[i];
+ y[0] = (ih==0)? fw: -fw;
+ break;
+ case 1:
+ case 2:
+ fw = 0.0;
+ for (i=jz;i>=0;i--) fw += fq[i];
+ y[0] = (ih==0)? fw: -fw;
+ fw = fq[0]-fw;
+ for (i=1;i<=jz;i++) fw += fq[i];
+ y[1] = (ih==0)? fw: -fw;
+ break;
+ case 3: /* painful */
+ for (i=jz;i>0;i--) {
+ fw = fq[i-1]+fq[i];
+ fq[i] += fq[i-1]-fw;
+ fq[i-1] = fw;
+ }
+ for (i=jz;i>1;i--) {
+ fw = fq[i-1]+fq[i];
+ fq[i] += fq[i-1]-fw;
+ fq[i-1] = fw;
+ }
+ for (fw=0.0,i=jz;i>=2;i--) fw += fq[i];
+ if(ih==0) {
+ y[0] = fq[0]; y[1] = fq[1]; y[2] = fw;
+ } else {
+ y[0] = -fq[0]; y[1] = -fq[1]; y[2] = -fw;
+ }
+ }
+ return n&7;
}
diff --git a/src/libm/k_sin.c b/src/libm/k_sin.c
index 6088157..3520d6b 100644
--- a/src/libm/k_sin.c
+++ b/src/libm/k_sin.c
@@ -1,4 +1,3 @@
-/* @(#)k_sin.c 5.1 93/09/24 */
/*
* ====================================================
* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
@@ -10,11 +9,6 @@
* ====================================================
*/
-#if defined(LIBM_SCCS) && !defined(lint)
-static const char rcsid[] =
- "$NetBSD: k_sin.c,v 1.8 1995/05/10 20:46:31 jtc Exp $";
-#endif
-
/* __kernel_sin( x, y, iy)
* kernel sin function on [-pi/4, pi/4], pi/4 ~ 0.7854
* Input x is assumed to be bounded by ~pi/4 in magnitude.
@@ -46,42 +40,26 @@ static const char rcsid[] =
#include "math_libm.h"
#include "math_private.h"
-#ifdef __STDC__
static const double
-#else
-static double
-#endif
- half = 5.00000000000000000000e-01, /* 0x3FE00000, 0x00000000 */
- S1 = -1.66666666666666324348e-01, /* 0xBFC55555, 0x55555549 */
- S2 = 8.33333333332248946124e-03, /* 0x3F811111, 0x1110F8A6 */
- S3 = -1.98412698298579493134e-04, /* 0xBF2A01A0, 0x19C161D5 */
- S4 = 2.75573137070700676789e-06, /* 0x3EC71DE3, 0x57B1FE7D */
- S5 = -2.50507602534068634195e-08, /* 0xBE5AE5E6, 0x8A2B9CEB */
- S6 = 1.58969099521155010221e-10; /* 0x3DE5D93A, 0x5ACFD57C */
+half = 5.00000000000000000000e-01, /* 0x3FE00000, 0x00000000 */
+S1 = -1.66666666666666324348e-01, /* 0xBFC55555, 0x55555549 */
+S2 = 8.33333333332248946124e-03, /* 0x3F811111, 0x1110F8A6 */
+S3 = -1.98412698298579493134e-04, /* 0xBF2A01A0, 0x19C161D5 */
+S4 = 2.75573137070700676789e-06, /* 0x3EC71DE3, 0x57B1FE7D */
+S5 = -2.50507602534068634195e-08, /* 0xBE5AE5E6, 0x8A2B9CEB */
+S6 = 1.58969099521155010221e-10; /* 0x3DE5D93A, 0x5ACFD57C */
-#ifdef __STDC__
-double attribute_hidden
-__kernel_sin(double x, double y, int iy)
-#else
-double attribute_hidden
-__kernel_sin(x, y, iy)
- double x, y;
- int iy; /* iy=0 if y is zero */
-#endif
+double attribute_hidden __kernel_sin(double x, double y, int iy)
{
- double z, r, v;
- int32_t ix;
- GET_HIGH_WORD(ix, x);
- ix &= 0x7fffffff; /* high word of x */
- if (ix < 0x3e400000) { /* |x| < 2**-27 */
- if ((int) x == 0)
- return x;
- } /* generate inexact */
- z = x * x;
- v = z * x;
- r = S2 + z * (S3 + z * (S4 + z * (S5 + z * S6)));
- if (iy == 0)
- return x + v * (S1 + z * r);
- else
- return x - ((z * (half * y - v * r) - y) - v * S1);
+ double z,r,v;
+ int32_t ix;
+ GET_HIGH_WORD(ix,x);
+ ix &= 0x7fffffff; /* high word of x */
+ if(ix<0x3e400000) /* |x| < 2**-27 */
+ {if((int)x==0) return x;} /* generate inexact */
+ z = x*x;
+ v = z*x;
+ r = S2+z*(S3+z*(S4+z*(S5+z*S6)));
+ if(iy==0) return x+v*(S1+z*r);
+ else return x-((z*(half*y-v*r)-y)-v*S1);
}
diff --git a/src/libm/k_tan.c b/src/libm/k_tan.c
index 27e6639..47b4e3d 100644
--- a/src/libm/k_tan.c
+++ b/src/libm/k_tan.c
@@ -66,7 +66,7 @@ T[] = {
2.59073051863633712884e-05, /* 0x3EFB2A70, 0x74BF7AD4 */
};
-double __kernel_tan(double x, double y, int iy)
+double attribute_hidden __kernel_tan(double x, double y, int iy)
{
double z,r,v,w,s;
int32_t ix,hx;
diff --git a/src/libm/math_libm.h b/src/libm/math_libm.h
index a30fa3f..3049395 100644
--- a/src/libm/math_libm.h
+++ b/src/libm/math_libm.h
@@ -28,6 +28,7 @@ double SDL_uclibc_copysign(double x, double y);
double SDL_uclibc_cos(double x);
double SDL_uclibc_fabs(double x);
double SDL_uclibc_floor(double x);
+double SDL_uclibc_fmod(double x, double y);
double SDL_uclibc_log(double x);
double SDL_uclibc_pow(double x, double y);
double SDL_uclibc_scalbn(double x, int n);
diff --git a/src/libm/math_private.h b/src/libm/math_private.h
index 74c8b3d..d370194 100644
--- a/src/libm/math_private.h
+++ b/src/libm/math_private.h
@@ -21,9 +21,11 @@
#include "SDL_endian.h"
/* #include <sys/types.h> */
+#define _IEEE_LIBM
#define attribute_hidden
#define libm_hidden_proto(x)
#define libm_hidden_def(x)
+#define strong_alias(x, y)
#ifndef __HAIKU__ /* already defined in a system header. */
typedef unsigned int u_int32_t;
@@ -35,6 +37,7 @@ typedef unsigned int u_int32_t;
#define cos SDL_uclibc_cos
#define fabs SDL_uclibc_fabs
#define floor SDL_uclibc_floor
+#define __ieee754_fmod SDL_uclibc_fmod
#define __ieee754_log SDL_uclibc_log
#define __ieee754_pow SDL_uclibc_pow
#define scalbn SDL_uclibc_scalbn
diff --git a/src/libm/s_atan.c b/src/libm/s_atan.c
index 970ea4d..f664f0e 100644
--- a/src/libm/s_atan.c
+++ b/src/libm/s_atan.c
@@ -112,4 +112,3 @@ double atan(double x)
}
}
libm_hidden_def(atan)
-
diff --git a/src/libm/s_copysign.c b/src/libm/s_copysign.c
index afd43e9..a2f275b 100644
--- a/src/libm/s_copysign.c
+++ b/src/libm/s_copysign.c
@@ -1,4 +1,3 @@
-/* @(#)s_copysign.c 5.1 93/09/24 */
/*
* ====================================================
* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
@@ -10,11 +9,6 @@
* ====================================================
*/
-#if defined(LIBM_SCCS) && !defined(lint)
-static const char rcsid[] =
- "$NetBSD: s_copysign.c,v 1.8 1995/05/10 20:46:57 jtc Exp $";
-#endif
-
/*
* copysign(double x, double y)
* copysign(x,y) returns a value with the magnitude of x and
@@ -24,19 +18,12 @@ static const char rcsid[] =
#include "math_libm.h"
#include "math_private.h"
-libm_hidden_proto(copysign)
-#ifdef __STDC__
- double copysign(double x, double y)
-#else
- double copysign(x, y)
- double x, y;
-#endif
+double copysign(double x, double y)
{
- u_int32_t hx, hy;
- GET_HIGH_WORD(hx, x);
- GET_HIGH_WORD(hy, y);
- SET_HIGH_WORD(x, (hx & 0x7fffffff) | (hy & 0x80000000));
- return x;
+ u_int32_t hx,hy;
+ GET_HIGH_WORD(hx,x);
+ GET_HIGH_WORD(hy,y);
+ SET_HIGH_WORD(x,(hx&0x7fffffff)|(hy&0x80000000));
+ return x;
}
-
libm_hidden_def(copysign)
diff --git a/src/libm/s_cos.c b/src/libm/s_cos.c
index 66b156c..5540260 100644
--- a/src/libm/s_cos.c
+++ b/src/libm/s_cos.c
@@ -1,4 +1,3 @@
-/* @(#)s_cos.c 5.1 93/09/24 */
/*
* ====================================================
* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
@@ -10,11 +9,6 @@
* ====================================================
*/
-#if defined(LIBM_SCCS) && !defined(lint)
-static const char rcsid[] =
- "$NetBSD: s_cos.c,v 1.7 1995/05/10 20:47:02 jtc Exp $";
-#endif
-
/* cos(x)
* Return cosine function of x.
*
@@ -49,43 +43,31 @@ static const char rcsid[] =
#include "math_libm.h"
#include "math_private.h"
-libm_hidden_proto(cos)
-#ifdef __STDC__
- double cos(double x)
-#else
- double cos(x)
- double x;
-#endif
+double cos(double x)
{
- double y[2], z = 0.0;
- int32_t n, ix;
+ double y[2],z=0.0;
+ int32_t n, ix;
/* High word of x. */
- GET_HIGH_WORD(ix, x);
+ GET_HIGH_WORD(ix,x);
/* |x| ~< pi/4 */
- ix &= 0x7fffffff;
- if (ix <= 0x3fe921fb)
- return __kernel_cos(x, z);
+ ix &= 0x7fffffff;
+ if(ix <= 0x3fe921fb) return __kernel_cos(x,z);
/* cos(Inf or NaN) is NaN */
- else if (ix >= 0x7ff00000)
- return x - x;
+ else if (ix>=0x7ff00000) return x-x;
/* argument reduction needed */
- else {
- n = __ieee754_rem_pio2(x, y);
- switch (n & 3) {
- case 0:
- return __kernel_cos(y[0], y[1]);
- case 1:
- return -__kernel_sin(y[0], y[1], 1);
- case 2:
- return -__kernel_cos(y[0], y[1]);
- default:
- return __kernel_sin(y[0], y[1], 1);
- }
- }
+ else {
+ n = __ieee754_rem_pio2(x,y);
+ switch(n&3) {
+ case 0: return __kernel_cos(y[0],y[1]);
+ case 1: return -__kernel_sin(y[0],y[1],1);
+ case 2: return -__kernel_cos(y[0],y[1]);
+ default:
+ return __kernel_sin(y[0],y[1],1);
+ }
+ }
}
-
libm_hidden_def(cos)
diff --git a/src/libm/s_fabs.c b/src/libm/s_fabs.c
index 5cf0c39..9ee943c 100644
--- a/src/libm/s_fabs.c
+++ b/src/libm/s_fabs.c
@@ -1,4 +1,3 @@
-/* @(#)s_fabs.c 5.1 93/09/24 */
/*
* ====================================================
* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
@@ -10,30 +9,21 @@
* ====================================================
*/
-#if defined(LIBM_SCCS) && !defined(lint)
-static const char rcsid[] =
- "$NetBSD: s_fabs.c,v 1.7 1995/05/10 20:47:13 jtc Exp $";
-#endif
-
/*
* fabs(x) returns the absolute value of x.
*/
+/*#include <features.h>*/
+/* Prevent math.h from defining a colliding inline */
+#undef __USE_EXTERN_INLINES
#include "math_libm.h"
#include "math_private.h"
-libm_hidden_proto(fabs)
-#ifdef __STDC__
- double fabs(double x)
-#else
- double fabs(x)
- double x;
-#endif
+double fabs(double x)
{
- u_int32_t high;
- GET_HIGH_WORD(high, x);
- SET_HIGH_WORD(x, high & 0x7fffffff);
- return x;
+ u_int32_t high;
+ GET_HIGH_WORD(high,x);
+ SET_HIGH_WORD(x,high&0x7fffffff);
+ return x;
}
-
libm_hidden_def(fabs)
diff --git a/src/libm/s_floor.c b/src/libm/s_floor.c
index b553d30..f0be5cb 100644
--- a/src/libm/s_floor.c
+++ b/src/libm/s_floor.c
@@ -1,4 +1,3 @@
-/* @(#)s_floor.c 5.1 93/09/24 */
/*
* ====================================================
* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
@@ -10,11 +9,6 @@
* ====================================================
*/
-#if defined(LIBM_SCCS) && !defined(lint)
-static const char rcsid[] =
- "$NetBSD: s_floor.c,v 1.8 1995/05/10 20:47:20 jtc Exp $";
-#endif
-
/*
* floor(x)
* Return x rounded toward -inf to integral value
@@ -24,73 +18,54 @@ static const char rcsid[] =
* Inexact flag raised if x not equal to floor(x).
*/
+/*#include <features.h>*/
+/* Prevent math.h from defining a colliding inline */
+#undef __USE_EXTERN_INLINES
#include "math_libm.h"
#include "math_private.h"
-#ifdef __STDC__
-static const double huge_val = 1.0e300;
-#else
-static double huge_val = 1.0e300;
-#endif
+static const double huge = 1.0e300;
-libm_hidden_proto(floor)
-#ifdef __STDC__
- double floor(double x)
-#else
- double floor(x)
- double x;
-#endif
+double floor(double x)
{
- int32_t i0, i1, j0;
- u_int32_t i, j;
- EXTRACT_WORDS(i0, i1, x);
- j0 = ((i0 >> 20) & 0x7ff) - 0x3ff;
- if (j0 < 20) {
- if (j0 < 0) { /* raise inexact if x != 0 */
- if (huge_val + x > 0.0) { /* return 0*sign(x) if |x|<1 */
- if (i0 >= 0) {
- i0 = i1 = 0;
- } else if (((i0 & 0x7fffffff) | i1) != 0) {
- i0 = 0xbff00000;
- i1 = 0;
- }
- }
- } else {
- i = (0x000fffff) >> j0;
- if (((i0 & i) | i1) == 0)
- return x; /* x is integral */
- if (huge_val + x > 0.0) { /* raise inexact flag */
- if (i0 < 0)
- i0 += (0x00100000) >> j0;
- i0 &= (~i);
- i1 = 0;
- }
- }
- } else if (j0 > 51) {
- if (j0 == 0x400)
- return x + x; /* inf or NaN */
- else
- return x; /* x is integral */
- } else {
- i = ((u_int32_t) (0xffffffff)) >> (j0 - 20);
- if ((i1 & i) == 0)
- return x; /* x is integral */
- if (huge_val + x > 0.0) { /* raise inexact flag */
- if (i0 < 0) {
- if (j0 == 20)
- i0 += 1;
- else {
- j = i1 + (1 << (52 - j0));
- if (j < (u_int32_t) i1)
- i0 += 1; /* got a carry */
- i1 = j;
- }
- }
- i1 &= (~i);
- }
- }
- INSERT_WORDS(x, i0, i1);
- return x;
+ int32_t i0,i1,j0;
+ u_int32_t i,j;
+ EXTRACT_WORDS(i0,i1,x);
+ j0 = ((i0>>20)&0x7ff)-0x3ff;
+ if(j0<20) {
+ if(j0<0) { /* raise inexact if x != 0 */
+ if(huge+x>0.0) {/* return 0*sign(x) if |x|<1 */
+ if(i0>=0) {i0=i1=0;}
+ else if(((i0&0x7fffffff)|i1)!=0)
+ { i0=0xbff00000;i1=0;}
+ }
+ } else {
+ i = (0x000fffff)>>j0;
+ if(((i0&i)|i1)==0) return x; /* x is integral */
+ if(huge+x>0.0) { /* raise inexact flag */
+ if(i0<0) i0 += (0x00100000)>>j0;
+ i0 &= (~i); i1=0;
+ }
+ }
+ } else if (j0>51) {
+ if(j0==0x400) return x+x; /* inf or NaN */
+ else return x; /* x is integral */
+ } else {
+ i = ((u_int32_t)(0xffffffff))>>(j0-20);
+ if((i1&i)==0) return x; /* x is integral */
+ if(huge+x>0.0) { /* raise inexact flag */
+ if(i0<0) {
+ if(j0==20) i0+=1;
+ else {
+ j = i1+(1<<(52-j0));
+ if(j<i1) i0 +=1 ; /* got a carry */
+ i1=j;
+ }
+ }
+ i1 &= (~i);
+ }
+ }
+ INSERT_WORDS(x,i0,i1);
+ return x;
}
-
libm_hidden_def(floor)
diff --git a/src/libm/s_scalbn.c b/src/libm/s_scalbn.c
index f824e92..247f44e 100644
--- a/src/libm/s_scalbn.c
+++ b/src/libm/s_scalbn.c
@@ -1,4 +1,3 @@
-/* @(#)s_scalbn.c 5.1 93/09/24 */
/*
* ====================================================
* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
@@ -10,70 +9,69 @@
* ====================================================
*/
-#if defined(LIBM_SCCS) && !defined(lint)
-static const char rcsid[] =
- "$NetBSD: s_scalbn.c,v 1.8 1995/05/10 20:48:08 jtc Exp $";
-#endif
-
/*
- * scalbn (double x, int n)
- * scalbn(x,n) returns x* 2**n computed by exponent
+ * scalbln(double x, long n)
+ * scalbln(x,n) returns x * 2**n computed by exponent
* manipulation rather than by actually performing an
* exponentiation or a multiplication.
*/
#include "math_libm.h"
#include "math_private.h"
+#include <limits.h>
-libm_hidden_proto(copysign)
-#ifdef __STDC__
- static const double
-#else
- static double
-#endif
- two54 = 1.80143985094819840000e+16, /* 0x43500000, 0x00000000 */
- twom54 = 5.55111512312578270212e-17, /* 0x3C900000, 0x00000000 */
- huge_val = 1.0e+300, tiny = 1.0e-300;
+static const double
+two54 = 1.80143985094819840000e+16, /* 0x43500000, 0x00000000 */
+twom54 = 5.55111512312578270212e-17, /* 0x3C900000, 0x00000000 */
+huge = 1.0e+300,
+tiny = 1.0e-300;
-libm_hidden_proto(scalbn)
-#ifdef __STDC__
- double scalbn(double x, int n)
-#else
- double scalbn(x, n)
- double x;
- int n;
-#endif
+double scalbln(double x, long n)
{
- int32_t k, hx, lx;
- EXTRACT_WORDS(hx, lx, x);
- k = (hx & 0x7ff00000) >> 20; /* extract exponent */
- if (k == 0) { /* 0 or subnormal x */
- if ((lx | (hx & 0x7fffffff)) == 0)
- return x; /* +-0 */
- x *= two54;
- GET_HIGH_WORD(hx, x);
- k = ((hx & 0x7ff00000) >> 20) - 54;
- if (n < -50000)
- return tiny * x; /* underflow */
- }
- if (k == 0x7ff)
- return x + x; /* NaN or Inf */
- k = k + n;
- if (k > 0x7fe)
- return huge_val * copysign(huge_val, x); /* overflow */
- if (k > 0) { /* normal result */
- SET_HIGH_WORD(x, (hx & 0x800fffff) | (k << 20));
- return x;
- }
- if (k <= -54) {
- if (n > 50000) /* in case integer overflow in n+k */
- return huge_val * copysign(huge_val, x); /* overflow */
- else
- return tiny * copysign(tiny, x); /* underflow */
- }
- k += 54; /* subnormal result */
- SET_HIGH_WORD(x, (hx & 0x800fffff) | (k << 20));
- return x * twom54;
+ int32_t k, hx, lx;
+
+ EXTRACT_WORDS(hx, lx, x);
+ k = (hx & 0x7ff00000) >> 20; /* extract exponent */
+ if (k == 0) { /* 0 or subnormal x */
+ if ((lx | (hx & 0x7fffffff)) == 0)
+ return x; /* +-0 */
+ x *= two54;
+ GET_HIGH_WORD(hx, x);
+ k = ((hx & 0x7ff00000) >> 20) - 54;
+ }
+ if (k == 0x7ff)
+ return x + x; /* NaN or Inf */
+ k = k + n;
+ if (k > 0x7fe)
+ return huge * copysign(huge, x); /* overflow */
+ if (n < -50000)
+ return tiny * copysign(tiny, x); /* underflow */
+ if (k > 0) { /* normal result */
+ SET_HIGH_WORD(x, (hx & 0x800fffff) | (k << 20));
+ return x;
+ }
+ if (k <= -54) {
+ if (n > 50000) /* in case integer overflow in n+k */
+ return huge * copysign(huge, x); /* overflow */
+ return tiny * copysign(tiny, x); /* underflow */
+ }
+ k += 54; /* subnormal result */
+ SET_HIGH_WORD(x, (hx & 0x800fffff) | (k << 20));
+ return x * twom54;
}
+libm_hidden_def(scalbln)
+#if LONG_MAX == INT_MAX
+/* strong_alias(scalbln, scalbn) - "error: conflicting types for 'scalbn'"
+ * because it tries to declare "typeof(scalbln) scalbn;"
+ * which tries to give "long" parameter to scalbn.
+ * Doing it by hand:
+ */
+__typeof(scalbn) scalbn __attribute__((alias("scalbln")));
+#else
+double scalbn(double x, int n)
+{
+ return scalbln(x, n);
+}
+#endif
libm_hidden_def(scalbn)
diff --git a/src/libm/s_sin.c b/src/libm/s_sin.c
index 7711766..b3cd7a0 100644
--- a/src/libm/s_sin.c
+++ b/src/libm/s_sin.c
@@ -1,4 +1,3 @@
-/* @(#)s_sin.c 5.1 93/09/24 */
/*
* ====================================================
* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
@@ -10,11 +9,6 @@
* ====================================================
*/
-#if defined(LIBM_SCCS) && !defined(lint)
-static const char rcsid[] =
- "$NetBSD: s_sin.c,v 1.7 1995/05/10 20:48:15 jtc Exp $";
-#endif
-
/* sin(x)
* Return sine function of x.
*
@@ -49,43 +43,31 @@ static const char rcsid[] =
#include "math_libm.h"
#include "math_private.h"
-libm_hidden_proto(sin)
-#ifdef __STDC__
- double sin(double x)
-#else
- double sin(x)
- double x;
-#endif
+double sin(double x)
{
- double y[2], z = 0.0;
- int32_t n, ix;
+ double y[2],z=0.0;
+ int32_t n, ix;
/* High word of x. */
- GET_HIGH_WORD(ix, x);
+ GET_HIGH_WORD(ix,x);
/* |x| ~< pi/4 */
- ix &= 0x7fffffff;
- if (ix <= 0x3fe921fb)
- return __kernel_sin(x, z, 0);
+ ix &= 0x7fffffff;
+ if(ix <= 0x3fe921fb) return __kernel_sin(x,z,0);
/* sin(Inf or NaN) is NaN */
- else if (ix >= 0x7ff00000)
- return x - x;
+ else if (ix>=0x7ff00000) return x-x;
/* argument reduction needed */
- else {
- n = __ieee754_rem_pio2(x, y);
- switch (n & 3) {
- case 0:
- return __kernel_sin(y[0], y[1], 1);
- case 1:
- return __kernel_cos(y[0], y[1]);
- case 2:
- return -__kernel_sin(y[0], y[1], 1);
- default:
- return -__kernel_cos(y[0], y[1]);
- }
- }
+ else {
+ n = __ieee754_rem_pio2(x,y);
+ switch(n&3) {
+ case 0: return __kernel_sin(y[0],y[1],1);
+ case 1: return __kernel_cos(y[0],y[1]);
+ case 2: return -__kernel_sin(y[0],y[1],1);
+ default:
+ return -__kernel_cos(y[0],y[1]);
+ }
+ }
}
-
libm_hidden_def(sin)