s_tanl.c (a5615c90442b10b0d286b8fcf2cfdcc1c2958d58) s_tanl.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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29
30/*
31 * Limited testing on pseudorandom numbers drawn within [0:4e8] shows
32 * an accuracy of <= 1.5 ULP where 247024 values of x out of 40 million
33 * possibles resulted in tan(x) that exceeded 0.5 ULP (ie., 0.6%).
34 */
35
36#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

--- 20 unchanged lines hidden (view full) ---

29
30/*
31 * Limited testing on pseudorandom numbers drawn within [0:4e8] shows
32 * an accuracy of <= 1.5 ULP where 247024 values of x out of 40 million
33 * possibles resulted in tan(x) that exceeded 0.5 ULP (ie., 0.6%).
34 */
35
36#include <float.h>
37#ifdef __i386__
38#include <ieeefp.h>
39#endif
37
38#include "math.h"
39#include "math_private.h"
40#if LDBL_MANT_DIG == 64
41#include "../ld80/e_rem_pio2l.h"
42#elif LDBL_MANT_DIG == 113
43#include "../ld128/e_rem_pio2l.h"
44#else

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60 /* If x = +-0 or x is subnormal, then tan(x) = x. */
61 if (z.bits.exp == 0)
62 return (x);
63
64 /* If x = NaN or Inf, then tan(x) = NaN. */
65 if (z.bits.exp == 32767)
66 return ((x - x) / (x - x));
67
40
41#include "math.h"
42#include "math_private.h"
43#if LDBL_MANT_DIG == 64
44#include "../ld80/e_rem_pio2l.h"
45#elif LDBL_MANT_DIG == 113
46#include "../ld128/e_rem_pio2l.h"
47#else

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63 /* If x = +-0 or x is subnormal, then tan(x) = x. */
64 if (z.bits.exp == 0)
65 return (x);
66
67 /* If x = NaN or Inf, then tan(x) = NaN. */
68 if (z.bits.exp == 32767)
69 return ((x - x) / (x - x));
70
71 ENTERI();
72
68 /* Optimize the case where x is already within range. */
69 if (z.e < M_PI_4) {
70 hi = __kernel_tanl(z.e, 0, 0);
73 /* Optimize the case where x is already within range. */
74 if (z.e < M_PI_4) {
75 hi = __kernel_tanl(z.e, 0, 0);
71 return (s ? -hi : hi);
76 RETURNI(s ? -hi : hi);
72 }
73
74 e0 = __ieee754_rem_pio2l(x, y);
75 hi = y[0];
76 lo = y[1];
77
78 switch (e0 & 3) {
79 case 0:
80 case 2:
81 hi = __kernel_tanl(hi, lo, 0);
82 break;
83 case 1:
84 case 3:
85 hi = __kernel_tanl(hi, lo, 1);
86 break;
87 }
88
77 }
78
79 e0 = __ieee754_rem_pio2l(x, y);
80 hi = y[0];
81 lo = y[1];
82
83 switch (e0 & 3) {
84 case 0:
85 case 2:
86 hi = __kernel_tanl(hi, lo, 0);
87 break;
88 case 1:
89 case 3:
90 hi = __kernel_tanl(hi, lo, 1);
91 break;
92 }
93
89 return (hi);
94 RETURNI(hi);
90}
95}