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Side by Side Diff: fusl/src/math/expm1l.c

Issue 1714623002: [fusl] clang-format fusl (Closed) Base URL: git@github.com:domokit/mojo.git@master
Patch Set: headers too Created 4 years, 10 months ago
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1 /* origin: OpenBSD /usr/src/lib/libm/src/ld80/e_expm1l.c */ 1 /* origin: OpenBSD /usr/src/lib/libm/src/ld80/e_expm1l.c */
2 /* 2 /*
3 * Copyright (c) 2008 Stephen L. Moshier <steve@moshier.net> 3 * Copyright (c) 2008 Stephen L. Moshier <steve@moshier.net>
4 * 4 *
5 * Permission to use, copy, modify, and distribute this software for any 5 * Permission to use, copy, modify, and distribute this software for any
6 * purpose with or without fee is hereby granted, provided that the above 6 * purpose with or without fee is hereby granted, provided that the above
7 * copyright notice and this permission notice appear in all copies. 7 * copyright notice and this permission notice appear in all copies.
8 * 8 *
9 * THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES 9 * THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
10 * WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF 10 * WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
(...skipping 32 matching lines...) Expand 10 before | Expand all | Expand 10 after
43 * ACCURACY: 43 * ACCURACY:
44 * 44 *
45 * Relative error: 45 * Relative error:
46 * arithmetic domain # trials peak rms 46 * arithmetic domain # trials peak rms
47 * IEEE -45,+maxarg 200,000 1.2e-19 2.5e-20 47 * IEEE -45,+maxarg 200,000 1.2e-19 2.5e-20
48 */ 48 */
49 49
50 #include "libm.h" 50 #include "libm.h"
51 51
52 #if LDBL_MANT_DIG == 53 && LDBL_MAX_EXP == 1024 52 #if LDBL_MANT_DIG == 53 && LDBL_MAX_EXP == 1024
53 long double expm1l(long double x) 53 long double expm1l(long double x) {
54 { 54 return expm1(x);
55 » return expm1(x);
56 } 55 }
57 #elif LDBL_MANT_DIG == 64 && LDBL_MAX_EXP == 16384 56 #elif LDBL_MANT_DIG == 64 && LDBL_MAX_EXP == 16384
58 57
59 /* exp(x) - 1 = x + 0.5 x^2 + x^3 P(x)/Q(x) 58 /* exp(x) - 1 = x + 0.5 x^2 + x^3 P(x)/Q(x)
60 -.5 ln 2 < x < .5 ln 2 59 -.5 ln 2 < x < .5 ln 2
61 Theoretical peak relative error = 3.4e-22 */ 60 Theoretical peak relative error = 3.4e-22 */
62 static const long double 61 static const long double P0 = -1.586135578666346600772998894928250240826E4L,
63 P0 = -1.586135578666346600772998894928250240826E4L, 62 P1 = 2.642771505685952966904660652518429479531E3L,
64 P1 = 2.642771505685952966904660652518429479531E3L, 63 P2 = -3.423199068835684263987132888286791620673E2L,
65 P2 = -3.423199068835684263987132888286791620673E2L, 64 P3 = 1.800826371455042224581246202420972737840E1L,
66 P3 = 1.800826371455042224581246202420972737840E1L, 65 P4 = -5.238523121205561042771939008061958820811E-1L,
67 P4 = -5.238523121205561042771939008061958820811E-1L, 66 Q0 = -9.516813471998079611319047060563358064497E4L,
68 Q0 = -9.516813471998079611319047060563358064497E4L, 67 Q1 = 3.964866271411091674556850458227710004570E4L,
69 Q1 = 3.964866271411091674556850458227710004570E4L, 68 Q2 = -7.207678383830091850230366618190187434796E3L,
70 Q2 = -7.207678383830091850230366618190187434796E3L, 69 Q3 = 7.206038318724600171970199625081491823079E2L,
71 Q3 = 7.206038318724600171970199625081491823079E2L, 70 Q4 = -4.002027679107076077238836622982900945173E1L,
72 Q4 = -4.002027679107076077238836622982900945173E1L, 71 /* Q5 = 1.000000000000000000000000000000000000000E0 */
73 /* Q5 = 1.000000000000000000000000000000000000000E0 */ 72 /* C1 + C2 = ln 2 */
74 /* C1 + C2 = ln 2 */ 73 C1 = 6.93145751953125E-1L,
75 C1 = 6.93145751953125E-1L, 74 C2 = 1.428606820309417232121458176568075500134E-6L,
76 C2 = 1.428606820309417232121458176568075500134E-6L, 75 /* ln 2^-65 */
77 /* ln 2^-65 */ 76 minarg = -4.5054566736396445112120088E1L,
78 minarg = -4.5054566736396445112120088E1L, 77 /* ln 2^16384 */
79 /* ln 2^16384 */ 78 maxarg = 1.1356523406294143949492E4L;
80 maxarg = 1.1356523406294143949492E4L;
81 79
82 long double expm1l(long double x) 80 long double expm1l(long double x) {
83 { 81 long double px, qx, xx;
84 » long double px, qx, xx; 82 int k;
85 » int k;
86 83
87 » if (isnan(x)) 84 if (isnan(x))
88 » » return x; 85 return x;
89 » if (x > maxarg) 86 if (x > maxarg)
90 » » return x*0x1p16383L; /* overflow, unless x==inf */ 87 return x * 0x1p16383L; /* overflow, unless x==inf */
91 » if (x == 0.0) 88 if (x == 0.0)
92 » » return x; 89 return x;
93 » if (x < minarg) 90 if (x < minarg)
94 » » return -1.0; 91 return -1.0;
95 92
96 » xx = C1 + C2; 93 xx = C1 + C2;
97 » /* Express x = ln 2 (k + remainder), remainder not exceeding 1/2. */ 94 /* Express x = ln 2 (k + remainder), remainder not exceeding 1/2. */
98 » px = floorl(0.5 + x / xx); 95 px = floorl(0.5 + x / xx);
99 » k = px; 96 k = px;
100 » /* remainder times ln 2 */ 97 /* remainder times ln 2 */
101 » x -= px * C1; 98 x -= px * C1;
102 » x -= px * C2; 99 x -= px * C2;
103 100
104 » /* Approximate exp(remainder ln 2).*/ 101 /* Approximate exp(remainder ln 2).*/
105 » px = (((( P4 * x + P3) * x + P2) * x + P1) * x + P0) * x; 102 px = ((((P4 * x + P3) * x + P2) * x + P1) * x + P0) * x;
106 » qx = (((( x + Q4) * x + Q3) * x + Q2) * x + Q1) * x + Q0; 103 qx = ((((x + Q4) * x + Q3) * x + Q2) * x + Q1) * x + Q0;
107 » xx = x * x; 104 xx = x * x;
108 » qx = x + (0.5 * xx + xx * px / qx); 105 qx = x + (0.5 * xx + xx * px / qx);
109 106
110 » /* exp(x) = exp(k ln 2) exp(remainder ln 2) = 2^k exp(remainder ln 2). 107 /* exp(x) = exp(k ln 2) exp(remainder ln 2) = 2^k exp(remainder ln 2).
111 » We have qx = exp(remainder ln 2) - 1, so 108 We have qx = exp(remainder ln 2) - 1, so
112 » exp(x) - 1 = 2^k (qx + 1) - 1 = 2^k qx + 2^k - 1. */ 109 exp(x) - 1 = 2^k (qx + 1) - 1 = 2^k qx + 2^k - 1. */
113 » px = scalbnl(1.0, k); 110 px = scalbnl(1.0, k);
114 » x = px * qx + (px - 1.0); 111 x = px * qx + (px - 1.0);
115 » return x; 112 return x;
116 } 113 }
117 #elif LDBL_MANT_DIG == 113 && LDBL_MAX_EXP == 16384 114 #elif LDBL_MANT_DIG == 113 && LDBL_MAX_EXP == 16384
118 // TODO: broken implementation to make things compile 115 // TODO: broken implementation to make things compile
119 long double expm1l(long double x) 116 long double expm1l(long double x) {
120 { 117 return expm1(x);
121 » return expm1(x);
122 } 118 }
123 #endif 119 #endif
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