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authorZack Weinberg <zackw@panix.com>2017-06-08 15:39:03 -0400
committerZack Weinberg <zackw@panix.com>2017-06-08 15:39:03 -0400
commit5046dbb4a7eba5eccfd258f92f4735c9ffc8d069 (patch)
tree4470480d904b65cf14ca524f96f79eca818c3eaf /sysdeps/ieee754/flt-32/e_j0f.c
parent199fc19d3aaaf57944ef036e15904febe877fc93 (diff)
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Prepare for radical source tree reorganization.zack/build-layout-experiment
All top-level files and directories are moved into a temporary storage directory, REORG.TODO, except for files that will certainly still exist in their current form at top level when we're done (COPYING, COPYING.LIB, LICENSES, NEWS, README), all old ChangeLog files (which are moved to the new directory OldChangeLogs, instead), and the generated file INSTALL (which is just deleted; in the new order, there will be no generated files checked into version control).
Diffstat (limited to 'sysdeps/ieee754/flt-32/e_j0f.c')
-rw-r--r--sysdeps/ieee754/flt-32/e_j0f.c337
1 files changed, 0 insertions, 337 deletions
diff --git a/sysdeps/ieee754/flt-32/e_j0f.c b/sysdeps/ieee754/flt-32/e_j0f.c
deleted file mode 100644
index b783dd069d..0000000000
--- a/sysdeps/ieee754/flt-32/e_j0f.c
+++ /dev/null
@@ -1,337 +0,0 @@
-/* e_j0f.c -- float version of e_j0.c.
- * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
- */
-
-/*
- * ====================================================
- * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
- *
- * Developed at SunPro, a Sun Microsystems, Inc. business.
- * Permission to use, copy, modify, and distribute this
- * software is freely granted, provided that this notice
- * is preserved.
- * ====================================================
- */
-
-#include <math.h>
-#include <math_private.h>
-
-static float pzerof(float), qzerof(float);
-
-static const float
-huge = 1e30,
-one = 1.0,
-invsqrtpi= 5.6418961287e-01, /* 0x3f106ebb */
-tpi = 6.3661974669e-01, /* 0x3f22f983 */
- /* R0/S0 on [0, 2.00] */
-R02 = 1.5625000000e-02, /* 0x3c800000 */
-R03 = -1.8997929874e-04, /* 0xb947352e */
-R04 = 1.8295404516e-06, /* 0x35f58e88 */
-R05 = -4.6183270541e-09, /* 0xb19eaf3c */
-S01 = 1.5619102865e-02, /* 0x3c7fe744 */
-S02 = 1.1692678527e-04, /* 0x38f53697 */
-S03 = 5.1354652442e-07, /* 0x3509daa6 */
-S04 = 1.1661400734e-09; /* 0x30a045e8 */
-
-static const float zero = 0.0;
-
-float
-__ieee754_j0f(float x)
-{
- float z, s,c,ss,cc,r,u,v;
- int32_t hx,ix;
-
- GET_FLOAT_WORD(hx,x);
- ix = hx&0x7fffffff;
- if(ix>=0x7f800000) return one/(x*x);
- x = fabsf(x);
- if(ix >= 0x40000000) { /* |x| >= 2.0 */
- __sincosf (x, &s, &c);
- ss = s-c;
- cc = s+c;
- if(ix<0x7f000000) { /* make sure x+x not overflow */
- z = -__cosf(x+x);
- if ((s*c)<zero) cc = z/ss;
- else ss = z/cc;
- }
- /*
- * 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>0x48000000) z = (invsqrtpi*cc)/__ieee754_sqrtf(x);
- else {
- u = pzerof(x); v = qzerof(x);
- z = invsqrtpi*(u*cc-v*ss)/__ieee754_sqrtf(x);
- }
- return z;
- }
- if(ix<0x39000000) { /* |x| < 2**-13 */
- math_force_eval(huge+x); /* raise inexact if x != 0 */
- if(ix<0x32000000) return one; /* |x|<2**-27 */
- else return one - (float)0.25*x*x;
- }
- z = x*x;
- r = z*(R02+z*(R03+z*(R04+z*R05)));
- s = one+z*(S01+z*(S02+z*(S03+z*S04)));
- if(ix < 0x3F800000) { /* |x| < 1.00 */
- return one + z*((float)-0.25+(r/s));
- } else {
- u = (float)0.5*x;
- return((one+u)*(one-u)+z*(r/s));
- }
-}
-strong_alias (__ieee754_j0f, __j0f_finite)
-
-static const float
-u00 = -7.3804296553e-02, /* 0xbd9726b5 */
-u01 = 1.7666645348e-01, /* 0x3e34e80d */
-u02 = -1.3818567619e-02, /* 0xbc626746 */
-u03 = 3.4745343146e-04, /* 0x39b62a69 */
-u04 = -3.8140706238e-06, /* 0xb67ff53c */
-u05 = 1.9559013964e-08, /* 0x32a802ba */
-u06 = -3.9820518410e-11, /* 0xae2f21eb */
-v01 = 1.2730483897e-02, /* 0x3c509385 */
-v02 = 7.6006865129e-05, /* 0x389f65e0 */
-v03 = 2.5915085189e-07, /* 0x348b216c */
-v04 = 4.4111031494e-10; /* 0x2ff280c2 */
-
-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;
- /* 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 -1/zero; /* -inf and divide by zero 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;
- /*
- * 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<=0x39800000) { /* x < 2**-13 */
- return(u00 + tpi*__ieee754_logf(x));
- }
- z = x*x;
- u = u00+z*(u01+z*(u02+z*(u03+z*(u04+z*(u05+z*u06)))));
- 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)
- * where R = pR0 + pR1*s^2 + pR2*s^4 + ... + pR5*s^10
- * S = 1 + pS0*s^2 + ... + pS4*s^10
- * and
- * | pzero(x)-1-R/S | <= 2 ** ( -60.26)
- */
-static const float pR8[6] = { /* for x in [inf, 8]=1/[0,0.125] */
- 0.0000000000e+00, /* 0x00000000 */
- -7.0312500000e-02, /* 0xbd900000 */
- -8.0816707611e+00, /* 0xc1014e86 */
- -2.5706311035e+02, /* 0xc3808814 */
- -2.4852163086e+03, /* 0xc51b5376 */
- -5.2530439453e+03, /* 0xc5a4285a */
-};
-static const float pS8[5] = {
- 1.1653436279e+02, /* 0x42e91198 */
- 3.8337448730e+03, /* 0x456f9beb */
- 4.0597855469e+04, /* 0x471e95db */
- 1.1675296875e+05, /* 0x47e4087c */
- 4.7627726562e+04, /* 0x473a0bba */
-};
-static const float pR5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */
- -1.1412546255e-11, /* 0xad48c58a */
- -7.0312492549e-02, /* 0xbd8fffff */
- -4.1596107483e+00, /* 0xc0851b88 */
- -6.7674766541e+01, /* 0xc287597b */
- -3.3123129272e+02, /* 0xc3a59d9b */
- -3.4643338013e+02, /* 0xc3ad3779 */
-};
-static const float pS5[5] = {
- 6.0753936768e+01, /* 0x42730408 */
- 1.0512523193e+03, /* 0x44836813 */
- 5.9789707031e+03, /* 0x45bad7c4 */
- 9.6254453125e+03, /* 0x461665c8 */
- 2.4060581055e+03, /* 0x451660ee */
-};
-
-static const float pR3[6] = {/* for x in [4.547,2.8571]=1/[0.2199,0.35001] */
- -2.5470459075e-09, /* 0xb12f081b */
- -7.0311963558e-02, /* 0xbd8fffb8 */
- -2.4090321064e+00, /* 0xc01a2d95 */
- -2.1965976715e+01, /* 0xc1afba52 */
- -5.8079170227e+01, /* 0xc2685112 */
- -3.1447946548e+01, /* 0xc1fb9565 */
-};
-static const float pS3[5] = {
- 3.5856033325e+01, /* 0x420f6c94 */
- 3.6151397705e+02, /* 0x43b4c1ca */
- 1.1936077881e+03, /* 0x44953373 */
- 1.1279968262e+03, /* 0x448cffe6 */
- 1.7358093262e+02, /* 0x432d94b8 */
-};
-
-static const float pR2[6] = {/* for x in [2.8570,2]=1/[0.3499,0.5] */
- -8.8753431271e-08, /* 0xb3be98b7 */
- -7.0303097367e-02, /* 0xbd8ffb12 */
- -1.4507384300e+00, /* 0xbfb9b1cc */
- -7.6356959343e+00, /* 0xc0f4579f */
- -1.1193166733e+01, /* 0xc1331736 */
- -3.2336456776e+00, /* 0xc04ef40d */
-};
-static const float pS2[5] = {
- 2.2220300674e+01, /* 0x41b1c32d */
- 1.3620678711e+02, /* 0x430834f0 */
- 2.7047027588e+02, /* 0x43873c32 */
- 1.5387539673e+02, /* 0x4319e01a */
- 1.4657617569e+01, /* 0x416a859a */
-};
-
-static float
-pzerof(float x)
-{
- const float *p,*q;
- float z,r,s;
- int32_t ix;
- GET_FLOAT_WORD(ix,x);
- ix &= 0x7fffffff;
- /* ix >= 0x40000000 for all calls to this function. */
- if(ix>=0x41000000) {p = pR8; q= pS8;}
- else if(ix>=0x40f71c58){p = pR5; q= pS5;}
- else if(ix>=0x4036db68){p = pR3; q= pS3;}
- else {p = pR2; q= pS2;}
- z = one/(x*x);
- r = p[0]+z*(p[1]+z*(p[2]+z*(p[3]+z*(p[4]+z*p[5]))));
- s = one+z*(q[0]+z*(q[1]+z*(q[2]+z*(q[3]+z*q[4]))));
- return one+ r/s;
-}
-
-
-/* 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))
- * where R = qR0 + qR1*s^2 + qR2*s^4 + ... + qR5*s^10
- * S = 1 + qS0*s^2 + ... + qS5*s^12
- * and
- * | qzero(x)/s +1.25-R/S | <= 2 ** ( -61.22)
- */
-static const float qR8[6] = { /* for x in [inf, 8]=1/[0,0.125] */
- 0.0000000000e+00, /* 0x00000000 */
- 7.3242187500e-02, /* 0x3d960000 */
- 1.1768206596e+01, /* 0x413c4a93 */
- 5.5767340088e+02, /* 0x440b6b19 */
- 8.8591972656e+03, /* 0x460a6cca */
- 3.7014625000e+04, /* 0x471096a0 */
-};
-static const float qS8[6] = {
- 1.6377603149e+02, /* 0x4323c6aa */
- 8.0983447266e+03, /* 0x45fd12c2 */
- 1.4253829688e+05, /* 0x480b3293 */
- 8.0330925000e+05, /* 0x49441ed4 */
- 8.4050156250e+05, /* 0x494d3359 */
- -3.4389928125e+05, /* 0xc8a7eb69 */
-};
-
-static const float qR5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */
- 1.8408595828e-11, /* 0x2da1ec79 */
- 7.3242180049e-02, /* 0x3d95ffff */
- 5.8356351852e+00, /* 0x40babd86 */
- 1.3511157227e+02, /* 0x43071c90 */
- 1.0272437744e+03, /* 0x448067cd */
- 1.9899779053e+03, /* 0x44f8bf4b */
-};
-static const float qS5[6] = {
- 8.2776611328e+01, /* 0x42a58da0 */
- 2.0778142090e+03, /* 0x4501dd07 */
- 1.8847289062e+04, /* 0x46933e94 */
- 5.6751113281e+04, /* 0x475daf1d */
- 3.5976753906e+04, /* 0x470c88c1 */
- -5.3543427734e+03, /* 0xc5a752be */
-};
-
-static const float qR3[6] = {/* for x in [4.547,2.8571]=1/[0.2199,0.35001] */
- 4.3774099900e-09, /* 0x3196681b */
- 7.3241114616e-02, /* 0x3d95ff70 */
- 3.3442313671e+00, /* 0x405607e3 */
- 4.2621845245e+01, /* 0x422a7cc5 */
- 1.7080809021e+02, /* 0x432acedf */
- 1.6673394775e+02, /* 0x4326bbe4 */
-};
-static const float qS3[6] = {
- 4.8758872986e+01, /* 0x42430916 */
- 7.0968920898e+02, /* 0x44316c1c */
- 3.7041481934e+03, /* 0x4567825f */
- 6.4604252930e+03, /* 0x45c9e367 */
- 2.5163337402e+03, /* 0x451d4557 */
- -1.4924745178e+02, /* 0xc3153f59 */
-};
-
-static const float qR2[6] = {/* for x in [2.8570,2]=1/[0.3499,0.5] */
- 1.5044444979e-07, /* 0x342189db */
- 7.3223426938e-02, /* 0x3d95f62a */
- 1.9981917143e+00, /* 0x3fffc4bf */
- 1.4495602608e+01, /* 0x4167edfd */
- 3.1666231155e+01, /* 0x41fd5471 */
- 1.6252708435e+01, /* 0x4182058c */
-};
-static const float qS2[6] = {
- 3.0365585327e+01, /* 0x41f2ecb8 */
- 2.6934811401e+02, /* 0x4386ac8f */
- 8.4478375244e+02, /* 0x44533229 */
- 8.8293585205e+02, /* 0x445cbbe5 */
- 2.1266638184e+02, /* 0x4354aa98 */
- -5.3109550476e+00, /* 0xc0a9f358 */
-};
-
-static float
-qzerof(float x)
-{
- const float *p,*q;
- float s,r,z;
- int32_t ix;
- GET_FLOAT_WORD(ix,x);
- ix &= 0x7fffffff;
- /* ix >= 0x40000000 for all calls to this function. */
- if(ix>=0x41000000) {p = qR8; q= qS8;}
- else if(ix>=0x40f71c58){p = qR5; q= qS5;}
- else if(ix>=0x4036db68){p = qR3; q= qS3;}
- else {p = qR2; q= qS2;}
- z = one/(x*x);
- r = p[0]+z*(p[1]+z*(p[2]+z*(p[3]+z*(p[4]+z*p[5]))));
- s = one+z*(q[0]+z*(q[1]+z*(q[2]+z*(q[3]+z*(q[4]+z*q[5])))));
- return (-(float).125 + r/s)/x;
-}