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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<mul.h>
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#include<comparison.h>
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/** Multiply two 32 bit float numbers
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 *
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 */
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float32 mulFloat32(float32 a, float32 b)
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{
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    float32 result;
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    __u64 mant1, mant2;
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    __s32 exp;
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    result.parts.sign = a.parts.sign ^ b.parts.sign;
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    if ((isFloat32NaN(a))||(isFloat32NaN(b))) {
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        /* TODO: fix SigNaNs */
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        if (isFloat32SigNaN(a)) {
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            result.parts.mantisa = a.parts.mantisa;
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            result.parts.exp = a.parts.exp;
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            return result;
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        };
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        if (isFloat32SigNaN(b)) { /* TODO: fix SigNaN */
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            result.parts.mantisa = b.parts.mantisa;
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            result.parts.exp = b.parts.exp;
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            return result;
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        };
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        /* set NaN as result */
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        result.parts.mantisa = 0x1;
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        result.parts.exp = 0xFF;
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        return result;
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    };
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    if (isFloat32Infinity(a)) {
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        if (isFloat32Zero(b)) {
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            /* FIXME: zero * infinity */
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            result.parts.mantisa = 0x1;
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            result.parts.exp = 0xFF;
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            return result;
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        }
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        result.parts.mantisa = a.parts.mantisa;
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        result.parts.exp = a.parts.exp;
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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: zero * infinity */
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            result.parts.mantisa = 0x1;
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            result.parts.exp = 0xFF;
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            return result;
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        }
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        result.parts.mantisa = b.parts.mantisa;
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        result.parts.exp = b.parts.exp;
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        return result;
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    }
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    /* exp is signed so we can easy detect underflow */
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    exp = a.parts.exp + b.parts.exp;
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    exp -= FLOAT32_BIAS;
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    if (exp >= 0xFF ) {
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        /* FIXME: overflow */
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        /* set infinity as result */
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        result.parts.mantisa = 0x0;
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        result.parts.exp = 0xFF;
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        return result;
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    };
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    if (exp < 0) {
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        /* FIXME: underflow */
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        /* return signed zero */
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        result.parts.mantisa = 0x0;
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        result.parts.exp = 0x0;
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        return result;
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    };
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    mant1 = a.parts.mantisa;
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    if (a.parts.exp>0) {
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        mant1 |= 0x800000;
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    } else {
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        ++exp;
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    };
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    mant2 = b.parts.mantisa;
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    if (b.parts.exp>0) {
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        mant2 |= 0x800000;
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    } else {
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        ++exp;
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    };
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    mant1 <<= 1; /* one bit space for rounding */
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    mant1 = mant1 * mant2;
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/* round and return */
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    while ((exp < 0xFF )&&(mant1 > 0x1FFFFFF )) {
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        /* 0xFFFFFF is 23 bits of mantisa + one more for hidden bit (all shifted 1 bit left)*/
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        ++exp;
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        mant1 >>= 1;
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    };
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    /* rounding */
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    //++mant1; /* FIXME: not works - without it is ok */
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    mant1 >>= 1; /* shift off rounding space */
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    if ((exp < 0xFF )&&(mant1 > 0xFFFFFF )) {
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        ++exp;
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        mant1 >>= 1;
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    };
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    if (exp >= 0xFF ) {
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        /* TODO: fix overflow */
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        /* return infinity*/
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        result.parts.exp = 0xFF;
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        result.parts.mantisa = 0x0;
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        return result;
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    }
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    exp -= FLOAT32_MANTISA_SIZE;
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    if (exp <= FLOAT32_MANTISA_SIZE) {
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        /* denormalized number */
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        mant1 >>= 1; /* denormalize */
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        while ((mant1 > 0) && (exp < 0)) {
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            mant1 >>= 1;
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            ++exp;
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        };
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        if (mant1 == 0) {
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            /* FIXME : underflow */
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        result.parts.exp = 0;
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        result.parts.mantisa = 0;
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        return result;
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        };
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    };
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    result.parts.exp = exp;
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    result.parts.mantisa = mant1 & 0x7FFFFF;
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    return result; 
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}
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