| s_cexp.c (226597) | s_cexp.c (275819) |
|---|---|
| 1/*- 2 * Copyright (c) 2011 David Schultz <das@FreeBSD.ORG> 3 * All rights reserved. 4 * 5 * Redistribution and use in source and binary forms, with or without 6 * modification, are permitted provided that the following conditions 7 * are met: 8 * 1. Redistributions of source code must retain the above copyright --- 11 unchanged lines hidden (view full) --- 20 * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) 21 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT 22 * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY 23 * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF 24 * SUCH DAMAGE. 25 */ 26 27#include <sys/cdefs.h> | 1/*- 2 * Copyright (c) 2011 David Schultz <das@FreeBSD.ORG> 3 * All rights reserved. 4 * 5 * Redistribution and use in source and binary forms, with or without 6 * modification, are permitted provided that the following conditions 7 * are met: 8 * 1. Redistributions of source code must retain the above copyright --- 11 unchanged lines hidden (view full) --- 20 * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) 21 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT 22 * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY 23 * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF 24 * SUCH DAMAGE. 25 */ 26 27#include <sys/cdefs.h> |
| 28__FBSDID("$FreeBSD: head/lib/msun/src/s_cexp.c 226597 2011-10-21 06:27:56Z das $"); | 28__FBSDID("$FreeBSD: head/lib/msun/src/s_cexp.c 275819 2014-12-16 09:21:56Z ed $"); |
| 29 30#include <complex.h> 31#include <math.h> 32 33#include "math_private.h" 34 35static const uint32_t 36exp_ovfl = 0x40862e42, /* high bits of MAX_EXP * ln2 ~= 710 */ --- 8 unchanged lines hidden (view full) --- 45 x = creal(z); 46 y = cimag(z); 47 48 EXTRACT_WORDS(hy, ly, y); 49 hy &= 0x7fffffff; 50 51 /* cexp(x + I 0) = exp(x) + I 0 */ 52 if ((hy | ly) == 0) | 29 30#include <complex.h> 31#include <math.h> 32 33#include "math_private.h" 34 35static const uint32_t 36exp_ovfl = 0x40862e42, /* high bits of MAX_EXP * ln2 ~= 710 */ --- 8 unchanged lines hidden (view full) --- 45 x = creal(z); 46 y = cimag(z); 47 48 EXTRACT_WORDS(hy, ly, y); 49 hy &= 0x7fffffff; 50 51 /* cexp(x + I 0) = exp(x) + I 0 */ 52 if ((hy | ly) == 0) |
| 53 return (cpack(exp(x), y)); | 53 return (CMPLX(exp(x), y)); |
| 54 EXTRACT_WORDS(hx, lx, x); 55 /* cexp(0 + I y) = cos(y) + I sin(y) */ 56 if (((hx & 0x7fffffff) | lx) == 0) | 54 EXTRACT_WORDS(hx, lx, x); 55 /* cexp(0 + I y) = cos(y) + I sin(y) */ 56 if (((hx & 0x7fffffff) | lx) == 0) |
| 57 return (cpack(cos(y), sin(y))); | 57 return (CMPLX(cos(y), sin(y))); |
| 58 59 if (hy >= 0x7ff00000) { 60 if (lx != 0 || (hx & 0x7fffffff) != 0x7ff00000) { 61 /* cexp(finite|NaN +- I Inf|NaN) = NaN + I NaN */ | 58 59 if (hy >= 0x7ff00000) { 60 if (lx != 0 || (hx & 0x7fffffff) != 0x7ff00000) { 61 /* cexp(finite|NaN +- I Inf|NaN) = NaN + I NaN */ |
| 62 return (cpack(y - y, y - y)); | 62 return (CMPLX(y - y, y - y)); |
| 63 } else if (hx & 0x80000000) { 64 /* cexp(-Inf +- I Inf|NaN) = 0 + I 0 */ | 63 } else if (hx & 0x80000000) { 64 /* cexp(-Inf +- I Inf|NaN) = 0 + I 0 */ |
| 65 return (cpack(0.0, 0.0)); | 65 return (CMPLX(0.0, 0.0)); |
| 66 } else { 67 /* cexp(+Inf +- I Inf|NaN) = Inf + I NaN */ | 66 } else { 67 /* cexp(+Inf +- I Inf|NaN) = Inf + I NaN */ |
| 68 return (cpack(x, y - y)); | 68 return (CMPLX(x, y - y)); |
| 69 } 70 } 71 72 if (hx >= exp_ovfl && hx <= cexp_ovfl) { 73 /* 74 * x is between 709.7 and 1454.3, so we must scale to avoid 75 * overflow in exp(x). 76 */ 77 return (__ldexp_cexp(z, 0)); 78 } else { 79 /* 80 * Cases covered here: 81 * - x < exp_ovfl and exp(x) won't overflow (common case) 82 * - x > cexp_ovfl, so exp(x) * s overflows for all s > 0 83 * - x = +-Inf (generated by exp()) 84 * - x = NaN (spurious inexact exception from y) 85 */ 86 exp_x = exp(x); | 69 } 70 } 71 72 if (hx >= exp_ovfl && hx <= cexp_ovfl) { 73 /* 74 * x is between 709.7 and 1454.3, so we must scale to avoid 75 * overflow in exp(x). 76 */ 77 return (__ldexp_cexp(z, 0)); 78 } else { 79 /* 80 * Cases covered here: 81 * - x < exp_ovfl and exp(x) won't overflow (common case) 82 * - x > cexp_ovfl, so exp(x) * s overflows for all s > 0 83 * - x = +-Inf (generated by exp()) 84 * - x = NaN (spurious inexact exception from y) 85 */ 86 exp_x = exp(x); |
| 87 return (cpack(exp_x * cos(y), exp_x * sin(y))); | 87 return (CMPLX(exp_x * cos(y), exp_x * sin(y))); |
| 88 } 89} | 88 } 89} |