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* Copyright (c) 2005 Josef Cejka
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* Redistribution and use in source and binary forms, with or without
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* modification, are permitted provided that the following conditions
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* - Redistributions of source code must retain the above copyright
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* notice, this list of conditions and the following disclaimer.
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* - Redistributions in binary form must reproduce the above copyright
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* notice, this list of conditions and the following disclaimer in the
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* documentation and/or other materials provided with the distribution.
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* - The name of the author may not be used to endorse or promote products
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* derived from this software without specific prior written permission.
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* THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
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* IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
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* OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
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* IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
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* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
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* NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
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* DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
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* THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
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* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
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* THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
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/** @addtogroup softfloat
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#include<comparison.h>
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inline int isFloat32NaN(float32 f)
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{ /* NaN : exp = 0xff and nonzero fraction */
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return ((f.parts.exp==0xFF)&&(f.parts.fraction));
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inline int isFloat64NaN(float64 d)
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{ /* NaN : exp = 0x7ff and nonzero fraction */
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return ((d.parts.exp==0x7FF)&&(d.parts.fraction));
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inline int isFloat32SigNaN(float32 f)
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{ /* SigNaN : exp = 0xff fraction = 0xxxxx..x (binary), where at least one x is nonzero */
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return ((f.parts.exp==0xFF)&&(f.parts.fraction<0x400000)&&(f.parts.fraction));
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inline int isFloat64SigNaN(float64 d)
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{ /* SigNaN : exp = 0x7ff fraction = 0xxxxx..x (binary), where at least one x is nonzero */
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return ((d.parts.exp==0x7FF)&&(d.parts.fraction)&&(d.parts.fraction<0x8000000000000ll));
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inline int isFloat32Infinity(float32 f)
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return ((f.parts.exp==0xFF)&&(f.parts.fraction==0x0));
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inline int isFloat64Infinity(float64 d)
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return ((d.parts.exp==0x7FF)&&(d.parts.fraction==0x0));
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inline int isFloat32Zero(float32 f)
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return (((f.binary) & 0x7FFFFFFF) == 0);
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inline int isFloat64Zero(float64 d)
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return (((d.binary) & 0x7FFFFFFFFFFFFFFFll) == 0);
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* @return 1, if both floats are equal - but NaNs are not recognized
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inline int isFloat32eq(float32 a, float32 b)
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return ((a.binary==b.binary)||(((a.binary| b.binary)&0x7FFFFFFF)==0)); /* a equals to b or both are zeros (with any sign) */
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* @return 1, if a<b - but NaNs are not recognized
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inline int isFloat32lt(float32 a, float32 b)
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if (((a.binary| b.binary)&0x7FFFFFFF)==0) {
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return 0; /* +- zeroes */
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if ((a.parts.sign)&&(b.parts.sign)) {
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/*if both are negative, smaller is that with greater binary value*/
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return (a.binary>b.binary);
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/* lets negate signs - now will be positive numbers allways bigger than negative (first bit will be set for unsigned integer comparison)*/
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a.parts.sign=!a.parts.sign;
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b.parts.sign=!b.parts.sign;
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return (a.binary<b.binary);
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* @return 1, if a>b - but NaNs are not recognized
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inline int isFloat32gt(float32 a, float32 b)
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if (((a.binary| b.binary)&0x7FFFFFFF)==0) {
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return 0; /* zeroes are equal with any sign */
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if ((a.parts.sign)&&(b.parts.sign)) {
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/*if both are negative, greater is that with smaller binary value*/
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return (a.binary<b.binary);
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/* lets negate signs - now will be positive numbers allways bigger than negative (first bit will be set for unsigned integer comparison)*/
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a.parts.sign=!a.parts.sign;
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b.parts.sign=!b.parts.sign;
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return (a.binary>b.binary);