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731 cejka 1
/*
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 * Copyright (C) 2005 Josef Cejka
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 * All rights reserved.
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 *
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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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 * are met:
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 *
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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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 *
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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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 */
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#include<sftypes.h>
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#include<add.h>
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#include<comparison.h>
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float32 divFloat32(float32 a, float32 b)
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{
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    float32 result;
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    __s32 aexp, bexp, cexp;
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    __u64 afrac, bfrac, cfrac;
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    result.parts.sign = a.parts.sign ^ b.parts.sign;
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    if (isFloat32NaN(a)) {
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        if (isFloat32SigNaN(a)) {
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            /*FIXME: SigNaN*/
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        }
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        /*NaN*/
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        return a;
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    }
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    if (isFloat32NaN(b)) {
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        if (isFloat32SigNaN(b)) {
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            /*FIXME: SigNaN*/
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        }
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        /*NaN*/
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        return b;
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    }
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    if (isFloat32Infinity(a)) {
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        if (isFloat32Infinity(b)) {
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            /*FIXME: inf / inf */
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            result.binary = FLOAT32_NAN;
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            return result;
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        }
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        /* inf / num */
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        result.parts.exp = a.parts.exp;
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        result.parts.fraction = a.parts.fraction;
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        return result;
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    }
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    if (isFloat32Infinity(b)) {
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        if (isFloat32Zero(a)) {
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            /* FIXME 0 / inf */
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            result.parts.exp = 0;
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            result.parts.fraction = 0;
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            return result;
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        }
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        /* FIXME: num / inf*/
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        result.parts.exp = 0;
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        result.parts.fraction = 0;
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        return result;
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    }
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    if (isFloat32Zero(b)) {
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        if (isFloat32Zero(a)) {
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            /*FIXME: 0 / 0*/
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            result.binary = FLOAT32_NAN;
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            return result;
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        }
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        /* FIXME: division by zero */
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        result.parts.exp = 0;
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        result.parts.fraction = 0;
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        return result;
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    }
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    afrac = a.parts.fraction;
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    aexp = a.parts.exp;
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    bfrac = b.parts.fraction;
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    bexp = b.parts.exp;
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    /* denormalized numbers */
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    if (aexp == 0) {
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        if (afrac == 0) {
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        result.parts.exp = 0;
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        result.parts.fraction = 0;
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        return result;
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        }
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        /* normalize it*/
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        afrac <<= 1;
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            /* afrac is nonzero => it must stop */ 
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        while (! (afrac & FLOAT32_HIDDEN_BIT_MASK) ) {
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            afrac <<= 1;
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            aexp--;
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        }
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    }
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    if (bexp == 0) {
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        bfrac <<= 1;
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            /* bfrac is nonzero => it must stop */ 
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        while (! (bfrac & FLOAT32_HIDDEN_BIT_MASK) ) {
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            bfrac <<= 1;
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            bexp--;
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        }
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    }
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    afrac = (afrac | FLOAT32_HIDDEN_BIT_MASK ) << (32 - FLOAT32_FRACTION_SIZE - 1 );
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    bfrac = (bfrac | FLOAT32_HIDDEN_BIT_MASK ) << (32 - FLOAT32_FRACTION_SIZE );
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    if ( bfrac <= (afrac << 1) ) {
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        afrac >>= 1;
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        aexp++;
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    }
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    cexp = aexp - bexp + FLOAT32_BIAS - 2;
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    cfrac = (afrac << 32) / bfrac;
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    if ((  cfrac & 0x3F ) == 0) {
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        cfrac |= ( bfrac * cfrac != afrac << 32 );
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    }
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    /* pack and round */
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    /* TODO: find first nonzero digit and shift result and detect possibly underflow */
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    while ((cexp > 0) && (cfrac) && (!(cfrac & (FLOAT32_HIDDEN_BIT_MASK << 7 )))) {
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        cexp--;
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        cfrac <<= 1;
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            /* TODO: fix underflow */
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    };
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    cfrac += (0x1 << 6); /* FIXME: 7 is not sure*/
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    if (cfrac & (FLOAT32_HIDDEN_BIT_MASK << 7)) {
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        ++cexp;
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        cfrac >>= 1;
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        }  
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    /* check overflow */
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    if (cexp >= FLOAT32_MAX_EXPONENT ) {
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        /* FIXME: overflow, return infinity */
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        result.parts.exp = FLOAT32_MAX_EXPONENT;
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        result.parts.fraction = 0;
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        return result;
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    }
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    if (cexp < 0) {
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        /* FIXME: underflow */
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        result.parts.exp = 0;
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        if ((cexp + FLOAT32_FRACTION_SIZE) < 0) {
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            result.parts.fraction = 0;
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            return result;
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        }
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        cfrac >>= 1;
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        while (cexp < 0) {
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            cexp ++;
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            cfrac >>= 1;
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        }
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    } else {
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        result.parts.exp = (__u32)cexp;
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    }
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    result.parts.fraction = ((cfrac >> 6) & (~FLOAT32_HIDDEN_BIT_MASK));
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    return result; 
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}
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