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Side by Side Diff: fusl/src/math/__tandf.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: FreeBSD /usr/src/lib/msun/src/k_tanf.c */ 1 /* origin: FreeBSD /usr/src/lib/msun/src/k_tanf.c */
2 /* 2 /*
3 * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com. 3 * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
4 * Optimized by Bruce D. Evans. 4 * Optimized by Bruce D. Evans.
5 */ 5 */
6 /* 6 /*
7 * ==================================================== 7 * ====================================================
8 * Copyright 2004 Sun Microsystems, Inc. All Rights Reserved. 8 * Copyright 2004 Sun Microsystems, Inc. All Rights Reserved.
9 * 9 *
10 * Permission to use, copy, modify, and distribute this 10 * Permission to use, copy, modify, and distribute this
11 * software is freely granted, provided that this notice 11 * software is freely granted, provided that this notice
12 * is preserved. 12 * is preserved.
13 * ==================================================== 13 * ====================================================
14 */ 14 */
15 15
16 #include "libm.h" 16 #include "libm.h"
17 17
18 /* |tan(x)/x - t(x)| < 2**-25.5 (~[-2e-08, 2e-08]). */ 18 /* |tan(x)/x - t(x)| < 2**-25.5 (~[-2e-08, 2e-08]). */
19 static const double T[] = { 19 static const double T[] = {
20 0x15554d3418c99f.0p-54, /* 0.333331395030791399758 */ 20 0x15554d3418c99f.0p-54, /* 0.333331395030791399758 */
21 0x1112fd38999f72.0p-55, /* 0.133392002712976742718 */ 21 0x1112fd38999f72.0p-55, /* 0.133392002712976742718 */
22 0x1b54c91d865afe.0p-57, /* 0.0533812378445670393523 */ 22 0x1b54c91d865afe.0p-57, /* 0.0533812378445670393523 */
23 0x191df3908c33ce.0p-58, /* 0.0245283181166547278873 */ 23 0x191df3908c33ce.0p-58, /* 0.0245283181166547278873 */
24 0x185dadfcecf44e.0p-61, /* 0.00297435743359967304927 */ 24 0x185dadfcecf44e.0p-61, /* 0.00297435743359967304927 */
25 0x1362b9bf971bcd.0p-59, /* 0.00946564784943673166728 */ 25 0x1362b9bf971bcd.0p-59, /* 0.00946564784943673166728 */
26 }; 26 };
27 27
28 float __tandf(double x, int odd) 28 float __tandf(double x, int odd) {
29 { 29 double_t z, r, w, s, t, u;
30 » double_t z,r,w,s,t,u;
31 30
32 » z = x*x; 31 z = x * x;
33 » /* 32 /*
34 » * Split up the polynomial into small independent terms to give 33 * Split up the polynomial into small independent terms to give
35 » * opportunities for parallel evaluation. The chosen splitting is 34 * opportunities for parallel evaluation. The chosen splitting is
36 » * micro-optimized for Athlons (XP, X64). It costs 2 multiplications 35 * micro-optimized for Athlons (XP, X64). It costs 2 multiplications
37 » * relative to Horner's method on sequential machines. 36 * relative to Horner's method on sequential machines.
38 » * 37 *
39 » * We add the small terms from lowest degree up for efficiency on 38 * We add the small terms from lowest degree up for efficiency on
40 » * non-sequential machines (the lowest degree terms tend to be ready 39 * non-sequential machines (the lowest degree terms tend to be ready
41 » * earlier). Apart from this, we don't care about order of 40 * earlier). Apart from this, we don't care about order of
42 » * operations, and don't need to to care since we have precision to 41 * operations, and don't need to to care since we have precision to
43 » * spare. However, the chosen splitting is good for accuracy too, 42 * spare. However, the chosen splitting is good for accuracy too,
44 » * and would give results as accurate as Horner's method if the 43 * and would give results as accurate as Horner's method if the
45 » * small terms were added from highest degree down. 44 * small terms were added from highest degree down.
46 » */ 45 */
47 » r = T[4] + z*T[5]; 46 r = T[4] + z * T[5];
48 » t = T[2] + z*T[3]; 47 t = T[2] + z * T[3];
49 » w = z*z; 48 w = z * z;
50 » s = z*x; 49 s = z * x;
51 » u = T[0] + z*T[1]; 50 u = T[0] + z * T[1];
52 » r = (x + s*u) + (s*w)*(t + w*r); 51 r = (x + s * u) + (s * w) * (t + w * r);
53 » return odd ? -1.0/r : r; 52 return odd ? -1.0 / r : r;
54 } 53 }
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