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230 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 <arch/fmath.h>
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#include <print.h>
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#define FMATH_MANTISA_MASK ( 0x000fffffffffffffLL )
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#define FMATH_NAN ( 0x0001000000000001LL )
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signed short fmath_get_binary_exponent(double num)
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{
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    fmath_ld_union_t fmath_ld_union;
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    fmath_ld_union.bf = num;
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    return (signed short)((((fmath_ld_union.ldd[7])&0x7f)<<4) + (((fmath_ld_union.ldd[6])&0xf0)>>4)) -FMATH_EXPONENT_BIAS; /* exponent is 11 bits lenght, so sevent bits is in 8th byte and 4 bits in 7th */
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}
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double fmath_get_decimal_exponent(double num)
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{
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    double value;
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    /* log10(2)*log2(x) => log10(x) */
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    __asm__ __volatile__ ( \
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    "fldlg2     #load log10(2)  \n\t"   \
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    "fxch %%st(1)       \n\t" \
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    "fyl2x      #count st(0)*log2(st(1))->st(1); pop st(0)  \n\t" \
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    : "=t" (value) : "0"(num) );
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    return value;
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}
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__u64 fmath_get_binary_mantisa(double num)
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{
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    union { __u64 _u; double _d;} un = { _d : num };
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    un._u=un._u &(FMATH_MANTISA_MASK); /* mask 52 bits of mantisa*/
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    return un._u;
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}
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double fmath_fint(double num, double *intp)
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{
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    fmath_ld_union_t fmath_ld_union_num;
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    fmath_ld_union_t fmath_ld_union_int;
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    signed short exp;
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    __u64 mask,mantisa;
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    int i;
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    exp=fmath_get_binary_exponent(num);
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    if (exp<0) {
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        *intp = 0.0;
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        return num;
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        }
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    if (exp>51) {
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        *intp=num;
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        num=0.0;
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        return num;
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    }
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    fmath_ld_union_num.bf = num;
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    mask = FMATH_MANTISA_MASK>>exp;
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    //mantisa = (fmath_get-binary_mantisa(num))&(~mask);
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    for (i=0;i<7;i++) {
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        /* Ugly construction for obtain sign, exponent and integer part from num */
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        fmath_ld_union_int.ldd[i]=fmath_ld_union_num.ldd[i]&(((~mask)>>(i*8))&0xff);
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    }
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    fmath_ld_union_int.ldd[6]|=((fmath_ld_union_num.ldd[6])&(0xf0));
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    fmath_ld_union_int.ldd[7]=fmath_ld_union_num.ldd[7];
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    *intp=fmath_ld_union_int.bf;
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    return fmath_ld_union_num.bf-fmath_ld_union_int.bf;
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};
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double fmath_dpow(double base, double exponent)
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{
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    double value=1.0;
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    if (base<=0.0) return base;
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    //2^(x*log2(10)) = 2^y = 10^x
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    __asm__ __volatile__ (      \
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        "fyl2x # ST(1):=ST(1)*log2(ST(0)), pop st(0) \n\t "     \
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        "fld    %%st(0) \n\t"   \
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        "frndint \n\t"      \
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        "fxch %%st(1) \n\t"     \
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        "fsub %%st(1),%%st(0) \n\t" \
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        "f2xm1  # ST := 2^ST -1\n\t"            \
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        "fld1 \n\t"         \
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        "faddp %%st(0),%%st(1) \n\t"    \
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        "fscale #ST:=ST*2^(ST(1))\n\t"      \
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        "fstp %%st(1) \n\t"     \
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    "" : "=t" (value) :  "0" (base), "u" (exponent) );
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    return value;
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}
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int fmath_is_nan(double num)
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{
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    __u16 exp;
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    fmath_ld_union_t fmath_ld_union;
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    fmath_ld_union.bf = num;
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    exp=(((fmath_ld_union.ldd[7])&0x7f)<<4) + (((fmath_ld_union.ldd[6])&0xf0)>>4); /* exponent is 11 bits lenght, so sevent bits is in 8th byte and 4 bits in 7th */
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    if (exp!=0x07ff) return 0;
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    if (fmath_get_binary_mantisa(num)>=FMATH_NAN) return 1;
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    return 0;
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}
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int fmath_is_infinity(double num)
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{
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    __u16 exp;
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    fmath_ld_union_t fmath_ld_union;
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    fmath_ld_union.bf = num;
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    exp=(((fmath_ld_union.ldd[7])&0x7f)<<4) + (((fmath_ld_union.ldd[6])&0xf0)>>4); /* exponent is 11 bits lenght, so sevent bits is in 8th byte and 4 bits in 7th */
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    if (exp!=0x07ff) return 0;
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    if (fmath_get_binary_mantisa(num)==0x0) return 1;
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    return 0;
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}