103 lines
2.3 KiB
C
103 lines
2.3 KiB
C
/*
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* This file is part of the MicroPython project, http://micropython.org/
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*
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* These math functions are taken from newlib-nano-2, the newlib/libm/math
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* directory, available from https://github.com/32bitmicro/newlib-nano-2.
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*
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* Appropriate copyright headers are reproduced below.
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*/
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/* ef_sqrtf.c -- float version of e_sqrt.c.
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* Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
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*/
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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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#include "fdlibm.h"
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#ifdef __STDC__
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static const float one = 1.0f, tiny=1.0e-30f;
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#else
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static float one = 1.0f, tiny=1.0e-30f;
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#endif
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// sqrtf is exactly __ieee754_sqrtf when _IEEE_LIBM defined
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float sqrtf(float x)
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/*
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#ifdef __STDC__
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float __ieee754_sqrtf(float x)
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#else
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float __ieee754_sqrtf(x)
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float x;
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#endif
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*/
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{
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float z;
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__uint32_t r,hx;
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__int32_t ix,s,q,m,t,i;
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GET_FLOAT_WORD(ix,x);
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hx = ix&0x7fffffff;
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/* take care of Inf and NaN */
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if(!FLT_UWORD_IS_FINITE(hx))
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return x*x+x; /* sqrt(NaN)=NaN, sqrt(+inf)=+inf
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sqrt(-inf)=sNaN */
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/* take care of zero and -ves */
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if(FLT_UWORD_IS_ZERO(hx)) return x;/* sqrt(+-0) = +-0 */
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if(ix<0) return (x-x)/(x-x); /* sqrt(-ve) = sNaN */
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/* normalize x */
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m = (ix>>23);
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if(FLT_UWORD_IS_SUBNORMAL(hx)) { /* subnormal x */
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for(i=0;(ix&0x00800000L)==0;i++) ix<<=1;
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m -= i-1;
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}
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m -= 127; /* unbias exponent */
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ix = (ix&0x007fffffL)|0x00800000L;
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if(m&1) /* odd m, double x to make it even */
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ix += ix;
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m >>= 1; /* m = [m/2] */
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/* generate sqrt(x) bit by bit */
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ix += ix;
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q = s = 0; /* q = sqrt(x) */
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r = 0x01000000L; /* r = moving bit from right to left */
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while(r!=0) {
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t = s+r;
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if(t<=ix) {
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s = t+r;
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ix -= t;
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q += r;
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}
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ix += ix;
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r>>=1;
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}
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/* use floating add to find out rounding direction */
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if(ix!=0) {
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z = one-tiny; /* trigger inexact flag */
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if (z>=one) {
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z = one+tiny;
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if (z>one)
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q += 2;
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else
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q += (q&1);
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}
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}
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ix = (q>>1)+0x3f000000L;
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ix += (m <<23);
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SET_FLOAT_WORD(z,ix);
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return z;
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}
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