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math: rewrite modf.c and clean up modff.c
cleaner implementation with unions and unsigned arithmetic
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@ -1,68 +1,37 @@
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/* origin: FreeBSD /usr/src/lib/msun/src/s_modf.c */
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/*
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* ====================================================
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* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
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*
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* Developed at SunPro, a Sun Microsystems, Inc. business.
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* Permission to use, copy, modify, and distribute this
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* software is freely granted, provided that this notice
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* is preserved.
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* ====================================================
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*/
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/*
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* modf(double x, double *iptr)
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* return fraction part of x, and return x's integral part in *iptr.
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* Method:
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* Bit twiddling.
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*
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* Exception:
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* No exception.
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*/
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#include "libm.h"
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#include <math.h>
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#include <stdint.h>
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double modf(double x, double *iptr)
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{
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int32_t i0,i1,j0;
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uint32_t i;
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union {double x; uint64_t n;} u = {x};
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uint64_t mask;
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int e;
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EXTRACT_WORDS(i0, i1, x);
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j0 = ((i0>>20) & 0x7ff) - 0x3ff; /* exponent of x */
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if (j0 < 20) { /* integer part in high x */
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if (j0 < 0) { /* |x| < 1 */
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INSERT_WORDS(*iptr, i0 & 0x80000000, 0); /* *iptr = +-0 */
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return x;
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}
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i = 0x000fffff >> j0;
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if (((i0&i)|i1) == 0) { /* x is integral */
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uint32_t high;
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*iptr = x;
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GET_HIGH_WORD(high, x);
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INSERT_WORDS(x, high & 0x80000000, 0); /* return +-0 */
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return x;
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}
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INSERT_WORDS(*iptr, i0&~i, 0);
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return x - *iptr;
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} else if (j0 > 51) { /* no fraction part */
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uint32_t high;
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if (j0 == 0x400) { /* inf/NaN */
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*iptr = x;
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return 0.0 / x;
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}
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e = (int)(u.n>>52 & 0x7ff) - 0x3ff;
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/* no fractional part */
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if (e >= 52) {
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*iptr = x;
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GET_HIGH_WORD(high, x);
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INSERT_WORDS(x, high & 0x80000000, 0); /* return +-0 */
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return x;
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} else { /* fraction part in low x */
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i = (uint32_t)0xffffffff >> (j0 - 20);
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if ((i1&i) == 0) { /* x is integral */
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uint32_t high;
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*iptr = x;
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GET_HIGH_WORD(high, x);
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INSERT_WORDS(x, high & 0x80000000, 0); /* return +-0 */
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if (e == 0x400 && u.n<<12 != 0) /* nan */
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return x;
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}
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INSERT_WORDS(*iptr, i0, i1&~i);
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return x - *iptr;
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u.n &= (uint64_t)1<<63;
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return u.x;
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}
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/* no integral part*/
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if (e < 0) {
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u.n &= (uint64_t)1<<63;
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*iptr = u.x;
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return x;
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}
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mask = (uint64_t)-1>>12 >> e;
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if ((u.n & mask) == 0) {
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*iptr = x;
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u.n &= (uint64_t)1<<63;
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return u.x;
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}
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u.n &= ~mask;
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*iptr = u.x;
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return x - *iptr;
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}
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@ -1,33 +1,37 @@
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#include "libm.h"
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#include <math.h>
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#include <stdint.h>
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float modff(float x, float *iptr)
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{
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uint32_t u, mask;
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union {float x; uint32_t n;} u = {x};
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uint32_t mask;
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int e;
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GET_FLOAT_WORD(u, x);
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e = (int)(u>>23 & 0xff) - 0x7f;
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e = (int)(u.n>>23 & 0xff) - 0x7f;
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/* no fractional part */
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if (e >= 23) {
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*iptr = x;
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if (e == 0x80 && u<<9 != 0) /* nan */
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if (e == 0x80 && u.n<<9 != 0) { /* nan */
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return x;
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SET_FLOAT_WORD(x, u & 0x80000000);
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return x;
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}
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u.n &= 0x80000000;
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return u.x;
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}
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/* no integral part */
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if (e < 0) {
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SET_FLOAT_WORD(*iptr, u & 0x80000000);
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u.n &= 0x80000000;
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*iptr = u.x;
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return x;
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}
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mask = 0x007fffff>>e;
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if ((u & mask) == 0) {
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if ((u.n & mask) == 0) {
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*iptr = x;
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SET_FLOAT_WORD(x, u & 0x80000000);
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return x;
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u.n &= 0x80000000;
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return u.x;
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}
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SET_FLOAT_WORD(*iptr, u & ~mask);
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u.n &= ~mask;
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*iptr = u.x;
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return x - *iptr;
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}
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