s_cosl.c (a5615c90442b10b0d286b8fcf2cfdcc1c2958d58) s_cosl.c (340076f0f6f6de72daa67a321649f76963da6b85)
1/*-
2 * Copyright (c) 2007 Steven G. Kargl
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

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28__FBSDID("$FreeBSD$");
29
30/*
31 * Limited testing on pseudorandom numbers drawn within [-2e8:4e8] shows
32 * an accuracy of <= 0.7412 ULP.
33 */
34
35#include <float.h>
1/*-
2 * Copyright (c) 2007 Steven G. Kargl
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

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28__FBSDID("$FreeBSD$");
29
30/*
31 * Limited testing on pseudorandom numbers drawn within [-2e8:4e8] shows
32 * an accuracy of <= 0.7412 ULP.
33 */
34
35#include <float.h>
36#ifdef __i386__
37#include <ieeefp.h>
38#endif
36
37#include "math.h"
38#include "math_private.h"
39#if LDBL_MANT_DIG == 64
40#include "../ld80/e_rem_pio2l.h"
41#elif LDBL_MANT_DIG == 113
42#include "../ld128/e_rem_pio2l.h"
43#else

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58 /* If x = +-0 or x is a subnormal number, then cos(x) = 1 */
59 if (z.bits.exp == 0)
60 return (1.0);
61
62 /* If x = NaN or Inf, then cos(x) = NaN. */
63 if (z.bits.exp == 32767)
64 return ((x - x) / (x - x));
65
39
40#include "math.h"
41#include "math_private.h"
42#if LDBL_MANT_DIG == 64
43#include "../ld80/e_rem_pio2l.h"
44#elif LDBL_MANT_DIG == 113
45#include "../ld128/e_rem_pio2l.h"
46#else

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61 /* If x = +-0 or x is a subnormal number, then cos(x) = 1 */
62 if (z.bits.exp == 0)
63 return (1.0);
64
65 /* If x = NaN or Inf, then cos(x) = NaN. */
66 if (z.bits.exp == 32767)
67 return ((x - x) / (x - x));
68
69 ENTERI();
70
66 /* Optimize the case where x is already within range. */
67 if (z.e < M_PI_4)
71 /* Optimize the case where x is already within range. */
72 if (z.e < M_PI_4)
68 return (__kernel_cosl(z.e, 0));
73 RETURNI(__kernel_cosl(z.e, 0));
69
70 e0 = __ieee754_rem_pio2l(x, y);
71 hi = y[0];
72 lo = y[1];
73
74 switch (e0 & 3) {
75 case 0:
76 hi = __kernel_cosl(hi, lo);

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81 case 2:
82 hi = - __kernel_cosl(hi, lo);
83 break;
84 case 3:
85 hi = __kernel_sinl(hi, lo, 1);
86 break;
87 }
88
74
75 e0 = __ieee754_rem_pio2l(x, y);
76 hi = y[0];
77 lo = y[1];
78
79 switch (e0 & 3) {
80 case 0:
81 hi = __kernel_cosl(hi, lo);

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86 case 2:
87 hi = - __kernel_cosl(hi, lo);
88 break;
89 case 3:
90 hi = __kernel_sinl(hi, lo, 1);
91 break;
92 }
93
89 return (hi);
94 RETURNI(hi);
90}
95}