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Diffstat (limited to 'libc/sysdeps/ieee754/flt-32/e_j0f.c')
-rw-r--r--libc/sysdeps/ieee754/flt-32/e_j0f.c200
1 files changed, 47 insertions, 153 deletions
diff --git a/libc/sysdeps/ieee754/flt-32/e_j0f.c b/libc/sysdeps/ieee754/flt-32/e_j0f.c
index 8c499e614..d2da43f92 100644
--- a/libc/sysdeps/ieee754/flt-32/e_j0f.c
+++ b/libc/sysdeps/ieee754/flt-32/e_j0f.c
@@ -13,29 +13,17 @@
* ====================================================
*/
-#if defined(LIBM_SCCS) && !defined(lint)
-static char rcsid[] = "$NetBSD: e_j0f.c,v 1.4 1995/05/10 20:45:25 jtc Exp $";
-#endif
-
#include "math.h"
#include "math_private.h"
-#ifdef __STDC__
static float pzerof(float), qzerof(float);
-#else
-static float pzerof(), qzerof();
-#endif
-#ifdef __STDC__
static const float
-#else
-static float
-#endif
-huge = 1e30,
+huge = 1e30,
one = 1.0,
invsqrtpi= 5.6418961287e-01, /* 0x3f106ebb */
tpi = 6.3661974669e-01, /* 0x3f22f983 */
- /* R0/S0 on [0, 2.00] */
+ /* R0/S0 on [0, 2.00] */
R02 = 1.5625000000e-02, /* 0x3c800000 */
R03 = -1.8997929874e-04, /* 0xb947352e */
R04 = 1.8295404516e-06, /* 0x35f58e88 */
@@ -45,18 +33,10 @@ S02 = 1.1692678527e-04, /* 0x38f53697 */
S03 = 5.1354652442e-07, /* 0x3509daa6 */
S04 = 1.1661400734e-09; /* 0x30a045e8 */
-#ifdef __STDC__
static const float zero = 0.0;
-#else
-static float zero = 0.0;
-#endif
-#ifdef __STDC__
- float __ieee754_j0f(float x)
-#else
- float __ieee754_j0f(x)
- float x;
-#endif
+float
+__ieee754_j0f(float x)
{
float z, s,c,ss,cc,r,u,v;
int32_t hx,ix;
@@ -72,7 +52,7 @@ static float zero = 0.0;
if(ix<0x7f000000) { /* make sure x+x not overflow */
z = -__cosf(x+x);
if ((s*c)<zero) cc = z/ss;
- else ss = z/cc;
+ else ss = z/cc;
}
/*
* j0(x) = 1/sqrt(pi) * (P(0,x)*cc - Q(0,x)*ss) / sqrt(x)
@@ -87,8 +67,8 @@ static float zero = 0.0;
}
if(ix<0x39000000) { /* |x| < 2**-13 */
if(huge+x>one) { /* raise inexact if x != 0 */
- if(ix<0x32000000) return one; /* |x|<2**-27 */
- else return one - (float)0.25*x*x;
+ if(ix<0x32000000) return one; /* |x|<2**-27 */
+ else return one - (float)0.25*x*x;
}
}
z = x*x;
@@ -101,12 +81,9 @@ static float zero = 0.0;
return((one+u)*(one-u)+z*(r/s));
}
}
+strong_alias (__ieee754_j0f, __j0f_finite)
-#ifdef __STDC__
static const float
-#else
-static float
-#endif
u00 = -7.3804296553e-02, /* 0xbd9726b5 */
u01 = 1.7666645348e-01, /* 0x3e34e80d */
u02 = -1.3818567619e-02, /* 0xbc626746 */
@@ -119,52 +96,48 @@ v02 = 7.6006865129e-05, /* 0x389f65e0 */
v03 = 2.5915085189e-07, /* 0x348b216c */
v04 = 4.4111031494e-10; /* 0x2ff280c2 */
-#ifdef __STDC__
- float __ieee754_y0f(float x)
-#else
- float __ieee754_y0f(x)
- float x;
-#endif
+float
+__ieee754_y0f(float x)
{
float z, s,c,ss,cc,u,v;
int32_t hx,ix;
GET_FLOAT_WORD(hx,x);
- ix = 0x7fffffff&hx;
+ ix = 0x7fffffff&hx;
/* Y0(NaN) is NaN, y0(-inf) is Nan, y0(inf) is 0, y0(0) is -inf. */
if(ix>=0x7f800000) return one/(x+x*x);
- if(ix==0) return -HUGE_VALF+x; /* -inf and overflow exception. */
- if(hx<0) return zero/(zero*x);
- if(ix >= 0x40000000) { /* |x| >= 2.0 */
- /* y0(x) = sqrt(2/(pi*x))*(p0(x)*sin(x0)+q0(x)*cos(x0))
- * where x0 = x-pi/4
- * Better formula:
- * cos(x0) = cos(x)cos(pi/4)+sin(x)sin(pi/4)
- * = 1/sqrt(2) * (sin(x) + cos(x))
- * sin(x0) = sin(x)cos(3pi/4)-cos(x)sin(3pi/4)
- * = 1/sqrt(2) * (sin(x) - cos(x))
- * To avoid cancellation, use
- * sin(x) +- cos(x) = -cos(2x)/(sin(x) -+ cos(x))
- * to compute the worse one.
- */
+ if(ix==0) return -HUGE_VALF+x; /* -inf and overflow exception. */
+ if(hx<0) return zero/(zero*x);
+ if(ix >= 0x40000000) { /* |x| >= 2.0 */
+ /* y0(x) = sqrt(2/(pi*x))*(p0(x)*sin(x0)+q0(x)*cos(x0))
+ * where x0 = x-pi/4
+ * Better formula:
+ * cos(x0) = cos(x)cos(pi/4)+sin(x)sin(pi/4)
+ * = 1/sqrt(2) * (sin(x) + cos(x))
+ * sin(x0) = sin(x)cos(3pi/4)-cos(x)sin(3pi/4)
+ * = 1/sqrt(2) * (sin(x) - cos(x))
+ * To avoid cancellation, use
+ * sin(x) +- cos(x) = -cos(2x)/(sin(x) -+ cos(x))
+ * to compute the worse one.
+ */
__sincosf (x, &s, &c);
- ss = s-c;
- cc = s+c;
+ ss = s-c;
+ cc = s+c;
/*
* j0(x) = 1/sqrt(pi) * (P(0,x)*cc - Q(0,x)*ss) / sqrt(x)
* y0(x) = 1/sqrt(pi) * (P(0,x)*ss + Q(0,x)*cc) / sqrt(x)
*/
- if(ix<0x7f000000) { /* make sure x+x not overflow */
- z = -__cosf(x+x);
- if ((s*c)<zero) cc = z/ss;
- else ss = z/cc;
- }
- if(ix>0x48000000) z = (invsqrtpi*ss)/__ieee754_sqrtf(x);
- else {
- u = pzerof(x); v = qzerof(x);
- z = invsqrtpi*(u*ss+v*cc)/__ieee754_sqrtf(x);
- }
- return z;
+ if(ix<0x7f000000) { /* make sure x+x not overflow */
+ z = -__cosf(x+x);
+ if ((s*c)<zero) cc = z/ss;
+ else ss = z/cc;
+ }
+ if(ix>0x48000000) z = (invsqrtpi*ss)/__ieee754_sqrtf(x);
+ else {
+ u = pzerof(x); v = qzerof(x);
+ z = invsqrtpi*(u*ss+v*cc)/__ieee754_sqrtf(x);
+ }
+ return z;
}
if(ix<=0x32000000) { /* x < 2**-27 */
return(u00 + tpi*__ieee754_logf(x));
@@ -174,21 +147,18 @@ v04 = 4.4111031494e-10; /* 0x2ff280c2 */
v = one+z*(v01+z*(v02+z*(v03+z*v04)));
return(u/v + tpi*(__ieee754_j0f(x)*__ieee754_logf(x)));
}
+strong_alias (__ieee754_y0f, __y0f_finite)
/* The asymptotic expansions of pzero is
* 1 - 9/128 s^2 + 11025/98304 s^4 - ..., where s = 1/x.
* For x >= 2, We approximate pzero by
- * pzero(x) = 1 + (R/S)
+ * pzero(x) = 1 + (R/S)
* where R = pR0 + pR1*s^2 + pR2*s^4 + ... + pR5*s^10
- * S = 1 + pS0*s^2 + ... + pS4*s^10
+ * S = 1 + pS0*s^2 + ... + pS4*s^10
* and
* | pzero(x)-1-R/S | <= 2 ** ( -60.26)
*/
-#ifdef __STDC__
static const float pR8[6] = { /* for x in [inf, 8]=1/[0,0.125] */
-#else
-static float pR8[6] = { /* for x in [inf, 8]=1/[0,0.125] */
-#endif
0.0000000000e+00, /* 0x00000000 */
-7.0312500000e-02, /* 0xbd900000 */
-8.0816707611e+00, /* 0xc1014e86 */
@@ -196,22 +166,14 @@ static float pR8[6] = { /* for x in [inf, 8]=1/[0,0.125] */
-2.4852163086e+03, /* 0xc51b5376 */
-5.2530439453e+03, /* 0xc5a4285a */
};
-#ifdef __STDC__
static const float pS8[5] = {
-#else
-static float pS8[5] = {
-#endif
1.1653436279e+02, /* 0x42e91198 */
3.8337448730e+03, /* 0x456f9beb */
4.0597855469e+04, /* 0x471e95db */
1.1675296875e+05, /* 0x47e4087c */
4.7627726562e+04, /* 0x473a0bba */
};
-#ifdef __STDC__
static const float pR5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */
-#else
-static float pR5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */
-#endif
-1.1412546255e-11, /* 0xad48c58a */
-7.0312492549e-02, /* 0xbd8fffff */
-4.1596107483e+00, /* 0xc0851b88 */
@@ -219,11 +181,7 @@ static float pR5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */
-3.3123129272e+02, /* 0xc3a59d9b */
-3.4643338013e+02, /* 0xc3ad3779 */
};
-#ifdef __STDC__
static const float pS5[5] = {
-#else
-static float pS5[5] = {
-#endif
6.0753936768e+01, /* 0x42730408 */
1.0512523193e+03, /* 0x44836813 */
5.9789707031e+03, /* 0x45bad7c4 */
@@ -231,11 +189,7 @@ static float pS5[5] = {
2.4060581055e+03, /* 0x451660ee */
};
-#ifdef __STDC__
static const float pR3[6] = {/* for x in [4.547,2.8571]=1/[0.2199,0.35001] */
-#else
-static float pR3[6] = {/* for x in [4.547,2.8571]=1/[0.2199,0.35001] */
-#endif
-2.5470459075e-09, /* 0xb12f081b */
-7.0311963558e-02, /* 0xbd8fffb8 */
-2.4090321064e+00, /* 0xc01a2d95 */
@@ -243,11 +197,7 @@ static float pR3[6] = {/* for x in [4.547,2.8571]=1/[0.2199,0.35001] */
-5.8079170227e+01, /* 0xc2685112 */
-3.1447946548e+01, /* 0xc1fb9565 */
};
-#ifdef __STDC__
static const float pS3[5] = {
-#else
-static float pS3[5] = {
-#endif
3.5856033325e+01, /* 0x420f6c94 */
3.6151397705e+02, /* 0x43b4c1ca */
1.1936077881e+03, /* 0x44953373 */
@@ -255,11 +205,7 @@ static float pS3[5] = {
1.7358093262e+02, /* 0x432d94b8 */
};
-#ifdef __STDC__
static const float pR2[6] = {/* for x in [2.8570,2]=1/[0.3499,0.5] */
-#else
-static float pR2[6] = {/* for x in [2.8570,2]=1/[0.3499,0.5] */
-#endif
-8.8753431271e-08, /* 0xb3be98b7 */
-7.0303097367e-02, /* 0xbd8ffb12 */
-1.4507384300e+00, /* 0xbfb9b1cc */
@@ -267,11 +213,7 @@ static float pR2[6] = {/* for x in [2.8570,2]=1/[0.3499,0.5] */
-1.1193166733e+01, /* 0xc1331736 */
-3.2336456776e+00, /* 0xc04ef40d */
};
-#ifdef __STDC__
static const float pS2[5] = {
-#else
-static float pS2[5] = {
-#endif
2.2220300674e+01, /* 0x41b1c32d */
1.3620678711e+02, /* 0x430834f0 */
2.7047027588e+02, /* 0x43873c32 */
@@ -279,18 +221,10 @@ static float pS2[5] = {
1.4657617569e+01, /* 0x416a859a */
};
-#ifdef __STDC__
- static float pzerof(float x)
-#else
- static float pzerof(x)
- float x;
-#endif
+static float
+pzerof(float x)
{
-#ifdef __STDC__
const float *p,*q;
-#else
- float *p,*q;
-#endif
float z,r,s;
int32_t ix;
GET_FLOAT_WORD(ix,x);
@@ -309,17 +243,13 @@ static float pS2[5] = {
/* For x >= 8, the asymptotic expansions of qzero is
* -1/8 s + 75/1024 s^3 - ..., where s = 1/x.
* We approximate pzero by
- * qzero(x) = s*(-1.25 + (R/S))
+ * qzero(x) = s*(-1.25 + (R/S))
* where R = qR0 + qR1*s^2 + qR2*s^4 + ... + qR5*s^10
- * S = 1 + qS0*s^2 + ... + qS5*s^12
+ * S = 1 + qS0*s^2 + ... + qS5*s^12
* and
* | qzero(x)/s +1.25-R/S | <= 2 ** ( -61.22)
*/
-#ifdef __STDC__
static const float qR8[6] = { /* for x in [inf, 8]=1/[0,0.125] */
-#else
-static float qR8[6] = { /* for x in [inf, 8]=1/[0,0.125] */
-#endif
0.0000000000e+00, /* 0x00000000 */
7.3242187500e-02, /* 0x3d960000 */
1.1768206596e+01, /* 0x413c4a93 */
@@ -327,11 +257,7 @@ static float qR8[6] = { /* for x in [inf, 8]=1/[0,0.125] */
8.8591972656e+03, /* 0x460a6cca */
3.7014625000e+04, /* 0x471096a0 */
};
-#ifdef __STDC__
static const float qS8[6] = {
-#else
-static float qS8[6] = {
-#endif
1.6377603149e+02, /* 0x4323c6aa */
8.0983447266e+03, /* 0x45fd12c2 */
1.4253829688e+05, /* 0x480b3293 */
@@ -340,11 +266,7 @@ static float qS8[6] = {
-3.4389928125e+05, /* 0xc8a7eb69 */
};
-#ifdef __STDC__
static const float qR5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */
-#else
-static float qR5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */
-#endif
1.8408595828e-11, /* 0x2da1ec79 */
7.3242180049e-02, /* 0x3d95ffff */
5.8356351852e+00, /* 0x40babd86 */
@@ -352,11 +274,7 @@ static float qR5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */
1.0272437744e+03, /* 0x448067cd */
1.9899779053e+03, /* 0x44f8bf4b */
};
-#ifdef __STDC__
static const float qS5[6] = {
-#else
-static float qS5[6] = {
-#endif
8.2776611328e+01, /* 0x42a58da0 */
2.0778142090e+03, /* 0x4501dd07 */
1.8847289062e+04, /* 0x46933e94 */
@@ -365,11 +283,7 @@ static float qS5[6] = {
-5.3543427734e+03, /* 0xc5a752be */
};
-#ifdef __STDC__
static const float qR3[6] = {/* for x in [4.547,2.8571]=1/[0.2199,0.35001] */
-#else
-static float qR3[6] = {/* for x in [4.547,2.8571]=1/[0.2199,0.35001] */
-#endif
4.3774099900e-09, /* 0x3196681b */
7.3241114616e-02, /* 0x3d95ff70 */
3.3442313671e+00, /* 0x405607e3 */
@@ -377,11 +291,7 @@ static float qR3[6] = {/* for x in [4.547,2.8571]=1/[0.2199,0.35001] */
1.7080809021e+02, /* 0x432acedf */
1.6673394775e+02, /* 0x4326bbe4 */
};
-#ifdef __STDC__
static const float qS3[6] = {
-#else
-static float qS3[6] = {
-#endif
4.8758872986e+01, /* 0x42430916 */
7.0968920898e+02, /* 0x44316c1c */
3.7041481934e+03, /* 0x4567825f */
@@ -390,11 +300,7 @@ static float qS3[6] = {
-1.4924745178e+02, /* 0xc3153f59 */
};
-#ifdef __STDC__
static const float qR2[6] = {/* for x in [2.8570,2]=1/[0.3499,0.5] */
-#else
-static float qR2[6] = {/* for x in [2.8570,2]=1/[0.3499,0.5] */
-#endif
1.5044444979e-07, /* 0x342189db */
7.3223426938e-02, /* 0x3d95f62a */
1.9981917143e+00, /* 0x3fffc4bf */
@@ -402,11 +308,7 @@ static float qR2[6] = {/* for x in [2.8570,2]=1/[0.3499,0.5] */
3.1666231155e+01, /* 0x41fd5471 */
1.6252708435e+01, /* 0x4182058c */
};
-#ifdef __STDC__
static const float qS2[6] = {
-#else
-static float qS2[6] = {
-#endif
3.0365585327e+01, /* 0x41f2ecb8 */
2.6934811401e+02, /* 0x4386ac8f */
8.4478375244e+02, /* 0x44533229 */
@@ -415,18 +317,10 @@ static float qS2[6] = {
-5.3109550476e+00, /* 0xc0a9f358 */
};
-#ifdef __STDC__
- static float qzerof(float x)
-#else
- static float qzerof(x)
- float x;
-#endif
+static float
+qzerof(float x)
{
-#ifdef __STDC__
const float *p,*q;
-#else
- float *p,*q;
-#endif
float s,r,z;
int32_t ix;
GET_FLOAT_WORD(ix,x);