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Side by Side Diff: fusl/src/math/cbrtf.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/s_cbrtf.c */ 1 /* origin: FreeBSD /usr/src/lib/msun/src/s_cbrtf.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 * Debugged and optimized by Bruce D. Evans. 4 * Debugged and optimized by Bruce D. Evans.
5 */ 5 */
6 /* 6 /*
7 * ==================================================== 7 * ====================================================
8 * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. 8 * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
9 * 9 *
10 * Developed at SunPro, a Sun Microsystems, Inc. business. 10 * Developed at SunPro, a Sun Microsystems, Inc. business.
11 * Permission to use, copy, modify, and distribute this 11 * Permission to use, copy, modify, and distribute this
12 * software is freely granted, provided that this notice 12 * software is freely granted, provided that this notice
13 * is preserved. 13 * is preserved.
14 * ==================================================== 14 * ====================================================
15 */ 15 */
16 /* cbrtf(x) 16 /* cbrtf(x)
17 * Return cube root of x 17 * Return cube root of x
18 */ 18 */
19 19
20 #include <math.h> 20 #include <math.h>
21 #include <stdint.h> 21 #include <stdint.h>
22 22
23 static const unsigned 23 static const unsigned
24 B1 = 709958130, /* B1 = (127-127.0/3-0.03306235651)*2**23 */ 24 B1 = 709958130, /* B1 = (127-127.0/3-0.03306235651)*2**23 */
25 B2 = 642849266; /* B2 = (127-127.0/3-24/3-0.03306235651)*2**23 */ 25 B2 = 642849266; /* B2 = (127-127.0/3-24/3-0.03306235651)*2**23 */
26 26
27 float cbrtf(float x) 27 float cbrtf(float x) {
28 { 28 double_t r, T;
29 » double_t r,T; 29 union {
30 » union {float f; uint32_t i;} u = {x}; 30 float f;
31 » uint32_t hx = u.i & 0x7fffffff; 31 uint32_t i;
32 } u = {x};
33 uint32_t hx = u.i & 0x7fffffff;
32 34
33 » if (hx >= 0x7f800000) /* cbrt(NaN,INF) is itself */ 35 if (hx >= 0x7f800000) /* cbrt(NaN,INF) is itself */
34 » » return x + x; 36 return x + x;
35 37
36 » /* rough cbrt to 5 bits */ 38 /* rough cbrt to 5 bits */
37 » if (hx < 0x00800000) { /* zero or subnormal? */ 39 if (hx < 0x00800000) { /* zero or subnormal? */
38 » » if (hx == 0) 40 if (hx == 0)
39 » » » return x; /* cbrt(+-0) is itself */ 41 return x; /* cbrt(+-0) is itself */
40 » » u.f = x*0x1p24f; 42 u.f = x * 0x1p24f;
41 » » hx = u.i & 0x7fffffff; 43 hx = u.i & 0x7fffffff;
42 » » hx = hx/3 + B2; 44 hx = hx / 3 + B2;
43 » } else 45 } else
44 » » hx = hx/3 + B1; 46 hx = hx / 3 + B1;
45 » u.i &= 0x80000000; 47 u.i &= 0x80000000;
46 » u.i |= hx; 48 u.i |= hx;
47 49
48 » /* 50 /*
49 » * First step Newton iteration (solving t*t-x/t == 0) to 16 bits. In 51 * First step Newton iteration (solving t*t-x/t == 0) to 16 bits. In
50 » * double precision so that its terms can be arranged for efficiency 52 * double precision so that its terms can be arranged for efficiency
51 » * without causing overflow or underflow. 53 * without causing overflow or underflow.
52 » */ 54 */
53 » T = u.f; 55 T = u.f;
54 » r = T*T*T; 56 r = T * T * T;
55 » T = T*((double_t)x+x+r)/(x+r+r); 57 T = T * ((double_t)x + x + r) / (x + r + r);
56 58
57 » /* 59 /*
58 » * Second step Newton iteration to 47 bits. In double precision for 60 * Second step Newton iteration to 47 bits. In double precision for
59 » * efficiency and accuracy. 61 * efficiency and accuracy.
60 » */ 62 */
61 » r = T*T*T; 63 r = T * T * T;
62 » T = T*((double_t)x+x+r)/(x+r+r); 64 T = T * ((double_t)x + x + r) / (x + r + r);
63 65
64 » /* rounding to 24 bits is perfect in round-to-nearest mode */ 66 /* rounding to 24 bits is perfect in round-to-nearest mode */
65 » return T; 67 return T;
66 } 68 }
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