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123 lines
3.2 KiB
123 lines
3.2 KiB
/***
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*hypot.c - hypotenuse and complex absolute value
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*
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* Copyright (c) 1991-2001, Microsoft Corporation. All rights reserved.
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*
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*Purpose:
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*
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*Revision History:
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* 08-15-91 GDP written
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* 10-20-91 GDP removed inline assembly for calling sqrt
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*
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*******************************************************************************/
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#include <math.h>
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#include <trans.h>
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static double _hypothlp(double x, double y, int who);
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/*
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* Function name: hypot
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*
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* Arguments: x, y - double
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*
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* Description: hypot returns sqrt(x*x + y*y), taking precautions against
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* unwarrented over and underflows.
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*
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* Side Effects: no global data is used or affected.
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*
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* Author: written R.K. Wyss, Microsoft, Sept. 9, 1983
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*
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* History:
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* 03/13/89 WAJ Minor changes to source.
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* 04/13/89 WAJ Now uses _cdecl for _CDECL
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* 06/07/91 JCR ANSI naming (_hypot)
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* 08/26/91 GDP NaN support, error handling
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* 01/13/91 GDP IEEE exceptions support
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*/
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double _hypot(double x, double y)
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{
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return _hypothlp(x,y,OP_HYPOT);
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}
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/***
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*double _cabs(struct _complex z) - absolute value of a complex number
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*
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*Purpose:
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*
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*Entry:
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*
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*Exit:
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*
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*Exceptions:
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*******************************************************************************/
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double _cabs(struct _complex z)
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{
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return( _hypothlp(z.x, z.y, OP_CABS ) );
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}
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static double _hypothlp(double x, double y, int who)
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{
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double max;
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double result, sum;
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uintptr_t savedcw;
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int exp1, exp2, newexp;
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/* save user fp control word */
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savedcw = _maskfp();
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/* check for infinity or NAN */
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if (IS_D_SPECIAL(x) || IS_D_SPECIAL(y)){
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if (IS_D_SNAN(x) || IS_D_SNAN(y)){
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return _except2(FP_I,who,x,y,_d_snan2(x,y),savedcw);
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}
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if (IS_D_QNAN(x) || IS_D_QNAN(y)){
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return _handle_qnan2(who,x,y,savedcw);
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}
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/* there is at least one infinite argument ... */
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RETURN(savedcw,D_INF);
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}
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/* take the absolute values of x and y, compute the max, and then scale by
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max to prevent over or underflowing */
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if ( x < 0.0 )
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x = - x;
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if ( y < 0.0 )
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y = - y;
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max = ( ( y > x ) ? y : x );
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if ( max == 0.0 )
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RETURN(savedcw, 0.0 );
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x /= max; //this may pollute the fp status word (underflow flag)
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y /= max;
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sum = x*x + y*y;
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result = _decomp(sqrt(sum),&exp1) * _decomp(max,&exp2);
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newexp = exp1 + exp2 + _get_exp(result);
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// in case of overflow or underflow
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// adjusting exp by IEEE_ADJUST will certainly
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// bring the result in the representable range
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if (newexp > MAXEXP) {
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result = _set_exp(result, newexp - IEEE_ADJUST);
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return _except2(FP_O | FP_P, who, x, y, result, savedcw);
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}
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if (newexp < MINEXP) {
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result = _set_exp(result, newexp + IEEE_ADJUST);
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return _except2(FP_U | FP_P, who, x, y, result, savedcw);
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}
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result = _set_exp(result, newexp);
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// fix needed: P exception is raised even if the result is exact
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RETURN_INEXACT2(who, x, y, result, savedcw);
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}
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