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e_rem_pio2f.c (176467) e_rem_pio2f.c (176476)
1/* e_rem_pio2f.c -- float version of e_rem_pio2.c
2 * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
3 * Debugged and optimized by Bruce D. Evans.
4 */
5
6/*
7 * ====================================================
8 * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
9 *
10 * Developed at SunPro, a Sun Microsystems, Inc. business.
11 * Permission to use, copy, modify, and distribute this
12 * software is freely granted, provided that this notice
13 * is preserved.
14 * ====================================================
15 */
16
17#include <sys/cdefs.h>
1/* e_rem_pio2f.c -- float version of e_rem_pio2.c
2 * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
3 * Debugged and optimized by Bruce D. Evans.
4 */
5
6/*
7 * ====================================================
8 * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
9 *
10 * Developed at SunPro, a Sun Microsystems, Inc. business.
11 * Permission to use, copy, modify, and distribute this
12 * software is freely granted, provided that this notice
13 * is preserved.
14 * ====================================================
15 */
16
17#include <sys/cdefs.h>
18__FBSDID("$FreeBSD: head/lib/msun/src/e_rem_pio2f.c 176467 2008-02-22 18:43:23Z bde $");
18__FBSDID("$FreeBSD: head/lib/msun/src/e_rem_pio2f.c 176476 2008-02-23 12:53:21Z bde $");
19
20/* __ieee754_rem_pio2f(x,y)
21 *
22 * return the remainder of x rem pi/2 in y[0]+y[1]
23 * use double precision internally
24 * use __kernel_rem_pio2() for large x
25 */
26

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39half = 5.00000000000000000000e-01, /* 0x3FE00000, 0x00000000 */
40invpio2 = 6.36619772367581382433e-01, /* 0x3FE45F30, 0x6DC9C883 */
41pio2_1 = 1.57079632673412561417e+00, /* 0x3FF921FB, 0x54400000 */
42pio2_1t = 6.07710050650619224932e-11; /* 0x3DD0B461, 0x1A626331 */
43
44int
45__ieee754_rem_pio2f(float x, float *y)
46{
19
20/* __ieee754_rem_pio2f(x,y)
21 *
22 * return the remainder of x rem pi/2 in y[0]+y[1]
23 * use double precision internally
24 * use __kernel_rem_pio2() for large x
25 */
26

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

39half = 5.00000000000000000000e-01, /* 0x3FE00000, 0x00000000 */
40invpio2 = 6.36619772367581382433e-01, /* 0x3FE45F30, 0x6DC9C883 */
41pio2_1 = 1.57079632673412561417e+00, /* 0x3FF921FB, 0x54400000 */
42pio2_1t = 6.07710050650619224932e-11; /* 0x3DD0B461, 0x1A626331 */
43
44int
45__ieee754_rem_pio2f(float x, float *y)
46{
47 double w,t,r,fn;
47 double w,r,fn;
48 double tx[1],ty[2];
49 float z;
50 int32_t e0,n,ix,hx;
51
52 GET_FLOAT_WORD(hx,x);
53 ix = hx&0x7fffffff;
54 /* 33+53 bit pi is good enough for medium size */
55 if(ix<=0x49490f80) { /* |x| ~<= 2^19*(pi/2), medium size */
48 double tx[1],ty[2];
49 float z;
50 int32_t e0,n,ix,hx;
51
52 GET_FLOAT_WORD(hx,x);
53 ix = hx&0x7fffffff;
54 /* 33+53 bit pi is good enough for medium size */
55 if(ix<=0x49490f80) { /* |x| ~<= 2^19*(pi/2), medium size */
56 t = fabsf(x);
57 /* Use a specialized rint() to get fn. Assume round-to-nearest. */
56 /* Use a specialized rint() to get fn. Assume round-to-nearest. */
58 STRICT_ASSIGN(double,fn,t*invpio2+0x1.8p52);
57 STRICT_ASSIGN(double,fn,x*invpio2+0x1.8p52);
59 fn = fn-0x1.8p52;
60#ifdef HAVE_EFFICIENT_IRINT
61 n = irint(fn);
62#else
63 n = (int32_t)fn;
64#endif
58 fn = fn-0x1.8p52;
59#ifdef HAVE_EFFICIENT_IRINT
60 n = irint(fn);
61#else
62 n = (int32_t)fn;
63#endif
65 r = t-fn*pio2_1;
64 r = x-fn*pio2_1;
66 w = fn*pio2_1t;
67 y[0] = r-w;
68 y[1] = (r-y[0])-w;
65 w = fn*pio2_1t;
66 y[0] = r-w;
67 y[1] = (r-y[0])-w;
69 if(hx<0) {y[0] = -y[0]; y[1] = -y[1]; return -n;}
70 else return n;
68 return n;
71 }
72 /*
73 * all other (large) arguments
74 */
75 if(ix>=0x7f800000) { /* x is inf or NaN */
76 y[0]=y[1]=x-x; return 0;
77 }
78 /* set z = scalbn(|x|,ilogb(|x|)-23) */
79 e0 = (ix>>23)-150; /* e0 = ilogb(|x|)-23; */
80 SET_FLOAT_WORD(z, ix - ((int32_t)(e0<<23)));
81 tx[0] = z;
82 n = __kernel_rem_pio2(tx,ty,e0,1,1);
83 y[0] = ty[0];
84 y[1] = ty[0] - y[0];
85 if(hx<0) {y[0] = -y[0]; y[1] = -y[1]; return -n;}
86 return n;
87}
69 }
70 /*
71 * all other (large) arguments
72 */
73 if(ix>=0x7f800000) { /* x is inf or NaN */
74 y[0]=y[1]=x-x; return 0;
75 }
76 /* set z = scalbn(|x|,ilogb(|x|)-23) */
77 e0 = (ix>>23)-150; /* e0 = ilogb(|x|)-23; */
78 SET_FLOAT_WORD(z, ix - ((int32_t)(e0<<23)));
79 tx[0] = z;
80 n = __kernel_rem_pio2(tx,ty,e0,1,1);
81 y[0] = ty[0];
82 y[1] = ty[0] - y[0];
83 if(hx<0) {y[0] = -y[0]; y[1] = -y[1]; return -n;}
84 return n;
85}