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/* e_rem_pio2f.c -- float version of e_rem_pio2.c
* Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
* Debugged and optimized by Bruce D. Evans.
*/
/*
* ====================================================
* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
*
* Developed at SunPro, a Sun Microsystems, Inc. business.
* Permission to use, copy, modify, and distribute this
* software is freely granted, provided that this notice
* is preserved.
* ====================================================
*/
#include <sys/cdefs.h>
__FBSDID("$FreeBSD$");
/* __ieee754_rem_pio2f(x,y)
*
* return the remainder of x rem pi/2 in *y
* use double precision for everything except passing x
* use __kernel_rem_pio2() for large x
*/
#include <float.h>
#include "math.h"
#include "math_private.h"
/*
* invpio2: 53 bits of 2/pi
* pio2_1: first 25 bits of pi/2
* pio2_1t: pi/2 - pio2_1
*/
static const double
invpio2 = 6.36619772367581382433e-01, /* 0x3FE45F30, 0x6DC9C883 */
pio2_1 = 1.57079631090164184570e+00, /* 0x3FF921FB, 0x50000000 */
pio2_1t = 1.58932547735281966916e-08; /* 0x3E5110b4, 0x611A6263 */
#ifdef INLINE_REM_PIO2F
static __inline
#endif
int
__ieee754_rem_pio2f(float x, double *y)
{
double w,r,fn;
double tx[1],ty[1];
float z;
int32_t e0,n,ix,hx;
GET_FLOAT_WORD(hx,x);
ix = hx&0x7fffffff;
/* 33+53 bit pi is good enough for medium size */
if(ix<0x4dc90fdb) { /* |x| ~< 2^28*(pi/2), medium size */
/* Use a specialized rint() to get fn. Assume round-to-nearest. */
STRICT_ASSIGN(double,fn,x*invpio2+0x1.8p52);
fn = fn-0x1.8p52;
#ifdef HAVE_EFFICIENT_IRINT
n = irint(fn);
#else
n = (int32_t)fn;
#endif
r = x-fn*pio2_1;
w = fn*pio2_1t;
*y = r-w;
return n;
}
/*
* all other (large) arguments
*/
if(ix>=0x7f800000) { /* x is inf or NaN */
*y=x-x; return 0;
}
/* set z = scalbn(|x|,ilogb(|x|)-23) */
e0 = (ix>>23)-150; /* e0 = ilogb(|x|)-23; */
SET_FLOAT_WORD(z, ix - ((int32_t)(e0<<23)));
tx[0] = z;
n = __kernel_rem_pio2(tx,ty,e0,1,0);
if(hx<0) {*y = -ty[0]; return -n;}
*y = ty[0]; return n;
}
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