s_csqrt.c (181402) | s_csqrt.c (275819) |
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1/*- 2 * Copyright (c) 2007 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) 2007 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_csqrt.c 181402 2008-08-08 00:15:16Z das $"); | 28__FBSDID("$FreeBSD: head/lib/msun/src/s_csqrt.c 275819 2014-12-16 09:21:56Z ed $"); |
29 30#include <complex.h> 31#include <float.h> 32#include <math.h> 33 34#include "math_private.h" 35 36/* --- 16 unchanged lines hidden (view full) --- 53 double t; 54 int scale; 55 56 a = creal(z); 57 b = cimag(z); 58 59 /* Handle special cases. */ 60 if (z == 0) | 29 30#include <complex.h> 31#include <float.h> 32#include <math.h> 33 34#include "math_private.h" 35 36/* --- 16 unchanged lines hidden (view full) --- 53 double t; 54 int scale; 55 56 a = creal(z); 57 b = cimag(z); 58 59 /* Handle special cases. */ 60 if (z == 0) |
61 return (cpack(0, b)); | 61 return (CMPLX(0, b)); |
62 if (isinf(b)) | 62 if (isinf(b)) |
63 return (cpack(INFINITY, b)); | 63 return (CMPLX(INFINITY, b)); |
64 if (isnan(a)) { 65 t = (b - b) / (b - b); /* raise invalid if b is not a NaN */ | 64 if (isnan(a)) { 65 t = (b - b) / (b - b); /* raise invalid if b is not a NaN */ |
66 return (cpack(a, t)); /* return NaN + NaN i */ | 66 return (CMPLX(a, t)); /* return NaN + NaN i */ |
67 } 68 if (isinf(a)) { 69 /* 70 * csqrt(inf + NaN i) = inf + NaN i 71 * csqrt(inf + y i) = inf + 0 i 72 * csqrt(-inf + NaN i) = NaN +- inf i 73 * csqrt(-inf + y i) = 0 + inf i 74 */ 75 if (signbit(a)) | 67 } 68 if (isinf(a)) { 69 /* 70 * csqrt(inf + NaN i) = inf + NaN i 71 * csqrt(inf + y i) = inf + 0 i 72 * csqrt(-inf + NaN i) = NaN +- inf i 73 * csqrt(-inf + y i) = 0 + inf i 74 */ 75 if (signbit(a)) |
76 return (cpack(fabs(b - b), copysign(a, b))); | 76 return (CMPLX(fabs(b - b), copysign(a, b))); |
77 else | 77 else |
78 return (cpack(a, copysign(b - b, b))); | 78 return (CMPLX(a, copysign(b - b, b))); |
79 } 80 /* 81 * The remaining special case (b is NaN) is handled just fine by 82 * the normal code path below. 83 */ 84 85 /* Scale to avoid overflow. */ 86 if (fabs(a) >= THRESH || fabs(b) >= THRESH) { 87 a *= 0.25; 88 b *= 0.25; 89 scale = 1; 90 } else { 91 scale = 0; 92 } 93 94 /* Algorithm 312, CACM vol 10, Oct 1967. */ 95 if (a >= 0) { 96 t = sqrt((a + hypot(a, b)) * 0.5); | 79 } 80 /* 81 * The remaining special case (b is NaN) is handled just fine by 82 * the normal code path below. 83 */ 84 85 /* Scale to avoid overflow. */ 86 if (fabs(a) >= THRESH || fabs(b) >= THRESH) { 87 a *= 0.25; 88 b *= 0.25; 89 scale = 1; 90 } else { 91 scale = 0; 92 } 93 94 /* Algorithm 312, CACM vol 10, Oct 1967. */ 95 if (a >= 0) { 96 t = sqrt((a + hypot(a, b)) * 0.5); |
97 result = cpack(t, b / (2 * t)); | 97 result = CMPLX(t, b / (2 * t)); |
98 } else { 99 t = sqrt((-a + hypot(a, b)) * 0.5); | 98 } else { 99 t = sqrt((-a + hypot(a, b)) * 0.5); |
100 result = cpack(fabs(b) / (2 * t), copysign(t, b)); | 100 result = CMPLX(fabs(b) / (2 * t), copysign(t, b)); |
101 } 102 103 /* Rescale. */ 104 if (scale) 105 return (result * 2); 106 else 107 return (result); 108} 109 110#if LDBL_MANT_DIG == 53 111__weak_reference(csqrt, csqrtl); 112#endif | 101 } 102 103 /* Rescale. */ 104 if (scale) 105 return (result * 2); 106 else 107 return (result); 108} 109 110#if LDBL_MANT_DIG == 53 111__weak_reference(csqrt, csqrtl); 112#endif |