| s_cexp.c (219359) | s_cexp.c (226413) |
|---|---|
| 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 219359 2011-03-07 03:09:24Z das $"); | 28__FBSDID("$FreeBSD: head/lib/msun/src/s_cexp.c 226413 2011-10-16 05:37:01Z das $"); |
| 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 */ --- 14 unchanged lines hidden (view full) --- 51 y = cimag(z); 52 53 EXTRACT_WORDS(hy, ly, y); 54 hy &= 0x7fffffff; 55 56 /* cexp(x + I 0) = exp(x) + I 0 */ 57 if ((hy | ly) == 0) 58 return (cpack(exp(x), y)); | 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 */ --- 14 unchanged lines hidden (view full) --- 51 y = cimag(z); 52 53 EXTRACT_WORDS(hy, ly, y); 54 hy &= 0x7fffffff; 55 56 /* cexp(x + I 0) = exp(x) + I 0 */ 57 if ((hy | ly) == 0) 58 return (cpack(exp(x), y)); |
| 59 EXTRACT_WORDS(hx, lx, x); 60 /* cexp(0 + I y) = cos(y) + I sin(y) */ 61 if (((hx & 0x7fffffff) | lx) == 0) 62 return (cpack(cos(y), sin(y))); 63 |
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| 59 if (hy >= 0x7ff00000) { | 64 if (hy >= 0x7ff00000) { |
| 60 EXTRACT_WORDS(hx, lx, x); | |
| 61 if (lx != 0 || (hx & 0x7fffffff) != 0x7ff00000) { 62 /* cexp(finite|NaN +- I Inf|NaN) = NaN + I NaN */ 63 return (cpack(y - y, y - y)); 64 } else if (hx & 0x80000000) { 65 /* cexp(-Inf +- I Inf|NaN) = 0 + I 0 */ 66 return (cpack(0.0, 0.0)); 67 } else { 68 /* cexp(+Inf +- I Inf|NaN) = Inf + I NaN */ 69 return (cpack(x, y - y)); 70 } 71 } 72 | 65 if (lx != 0 || (hx & 0x7fffffff) != 0x7ff00000) { 66 /* cexp(finite|NaN +- I Inf|NaN) = NaN + I NaN */ 67 return (cpack(y - y, y - y)); 68 } else if (hx & 0x80000000) { 69 /* cexp(-Inf +- I Inf|NaN) = 0 + I 0 */ 70 return (cpack(0.0, 0.0)); 71 } else { 72 /* cexp(+Inf +- I Inf|NaN) = Inf + I NaN */ 73 return (cpack(x, y - y)); 74 } 75 } 76 |
| 73 GET_HIGH_WORD(hx, x); | |
| 74 if (hx >= exp_ovfl && hx <= cexp_ovfl) { 75 /* 76 * x is between 709.7 and 1454.3, so we must scale to avoid 77 * overflow in exp(x). We use exp(x) = exp(x - kln2) * 2**k, 78 * carefully chosen to minimize |exp(kln2) - 2**k|. We also 79 * scale the exponent of exp(x) to MANT_DIG to avoid loss of 80 * accuracy due to underflow if sin(y) is tiny. 81 */ --- 18 unchanged lines hidden --- | 77 if (hx >= exp_ovfl && hx <= cexp_ovfl) { 78 /* 79 * x is between 709.7 and 1454.3, so we must scale to avoid 80 * overflow in exp(x). We use exp(x) = exp(x - kln2) * 2**k, 81 * carefully chosen to minimize |exp(kln2) - 2**k|. We also 82 * scale the exponent of exp(x) to MANT_DIG to avoid loss of 83 * accuracy due to underflow if sin(y) is tiny. 84 */ --- 18 unchanged lines hidden --- |