| s_csqrtf.c (181402) | s_csqrtf.c (275819) |
|---|---|
| 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_csqrtf.c 181402 2008-08-08 00:15:16Z das $"); | 28__FBSDID("$FreeBSD: head/lib/msun/src/s_csqrtf.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 35/* 36 * gcc doesn't implement complex multiplication or division correctly, --- 7 unchanged lines hidden (view full) --- 44float complex 45csqrtf(float complex z) 46{ 47 float a = crealf(z), b = cimagf(z); 48 double t; 49 50 /* Handle special cases. */ 51 if (z == 0) | 29 30#include <complex.h> 31#include <math.h> 32 33#include "math_private.h" 34 35/* 36 * gcc doesn't implement complex multiplication or division correctly, --- 7 unchanged lines hidden (view full) --- 44float complex 45csqrtf(float complex z) 46{ 47 float a = crealf(z), b = cimagf(z); 48 double t; 49 50 /* Handle special cases. */ 51 if (z == 0) |
| 52 return (cpackf(0, b)); | 52 return (CMPLXF(0, b)); |
| 53 if (isinf(b)) | 53 if (isinf(b)) |
| 54 return (cpackf(INFINITY, b)); | 54 return (CMPLXF(INFINITY, b)); |
| 55 if (isnan(a)) { 56 t = (b - b) / (b - b); /* raise invalid if b is not a NaN */ | 55 if (isnan(a)) { 56 t = (b - b) / (b - b); /* raise invalid if b is not a NaN */ |
| 57 return (cpackf(a, t)); /* return NaN + NaN i */ | 57 return (CMPLXF(a, t)); /* return NaN + NaN i */ |
| 58 } 59 if (isinf(a)) { 60 /* 61 * csqrtf(inf + NaN i) = inf + NaN i 62 * csqrtf(inf + y i) = inf + 0 i 63 * csqrtf(-inf + NaN i) = NaN +- inf i 64 * csqrtf(-inf + y i) = 0 + inf i 65 */ 66 if (signbit(a)) | 58 } 59 if (isinf(a)) { 60 /* 61 * csqrtf(inf + NaN i) = inf + NaN i 62 * csqrtf(inf + y i) = inf + 0 i 63 * csqrtf(-inf + NaN i) = NaN +- inf i 64 * csqrtf(-inf + y i) = 0 + inf i 65 */ 66 if (signbit(a)) |
| 67 return (cpackf(fabsf(b - b), copysignf(a, b))); | 67 return (CMPLXF(fabsf(b - b), copysignf(a, b))); |
| 68 else | 68 else |
| 69 return (cpackf(a, copysignf(b - b, b))); | 69 return (CMPLXF(a, copysignf(b - b, b))); |
| 70 } 71 /* 72 * The remaining special case (b is NaN) is handled just fine by 73 * the normal code path below. 74 */ 75 76 /* 77 * We compute t in double precision to avoid overflow and to 78 * provide correct rounding in nearly all cases. 79 * This is Algorithm 312, CACM vol 10, Oct 1967. 80 */ 81 if (a >= 0) { 82 t = sqrt((a + hypot(a, b)) * 0.5); | 70 } 71 /* 72 * The remaining special case (b is NaN) is handled just fine by 73 * the normal code path below. 74 */ 75 76 /* 77 * We compute t in double precision to avoid overflow and to 78 * provide correct rounding in nearly all cases. 79 * This is Algorithm 312, CACM vol 10, Oct 1967. 80 */ 81 if (a >= 0) { 82 t = sqrt((a + hypot(a, b)) * 0.5); |
| 83 return (cpackf(t, b / (2.0 * t))); | 83 return (CMPLXF(t, b / (2.0 * t))); |
| 84 } else { 85 t = sqrt((-a + hypot(a, b)) * 0.5); | 84 } else { 85 t = sqrt((-a + hypot(a, b)) * 0.5); |
| 86 return (cpackf(fabsf(b) / (2.0 * t), copysignf(t, b))); | 86 return (CMPLXF(fabsf(b) / (2.0 * t), copysignf(t, b))); |
| 87 } 88} | 87 } 88} |