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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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/** Add two Float32 numbers with same signs
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 */
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float32 addFloat32(float32 a, float32 b)
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{
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    int expdiff;
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    __u32 exp1, exp2,mant1, mant2;
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732 cejka 40
    expdiff = a.parts.exp - b.parts.exp;
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    if (expdiff < 0) {
731 cejka 42
        if (isFloat32NaN(b)) {
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            //TODO: fix SigNaN
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            if (isFloat32SigNaN(b)) {
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            };
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            return b;
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        };
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732 cejka 50
        if (b.parts.exp == FLOAT32_MAX_EXPONENT) {
731 cejka 51
            return b;
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        }
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732 cejka 54
        mant1 = b.parts.mantisa;
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        exp1 = b.parts.exp;
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        mant2 = a.parts.mantisa;
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        exp2 = a.parts.exp;
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        expdiff *= -1;
731 cejka 59
    } else {
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        if (isFloat32NaN(a)) {
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            //TODO: fix SigNaN
732 cejka 62
            if (isFloat32SigNaN(a) || isFloat32SigNaN(b)) {
731 cejka 63
            };
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            return a;
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        };
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732 cejka 67
        if (a.parts.exp == FLOAT32_MAX_EXPONENT) {
731 cejka 68
            return a;
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        }
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732 cejka 71
        mant1 = a.parts.mantisa;
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        exp1 = a.parts.exp;
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        mant2 = b.parts.mantisa;
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        exp2 = b.parts.exp;
731 cejka 75
    };
76
 
77
    if (exp1 == 0) {
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        /* both are denormalized */
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        mant1 += mant2;
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        if (mant1 & FLOAT32_HIDDEN_BIT_MASK ) {
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            /* result is not denormalized */
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            a.parts.exp = 1;
83
        };
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        a.parts.mantisa = mant1;
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        return a;
86
    };
87
 
88
    mant1 |= FLOAT32_HIDDEN_BIT_MASK; //add hidden bit
89
 
90
    if (exp2 == 0) {
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        /* second operand is denormalized */
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        --expdiff; 
93
    } else {
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        /* add hidden bit to second operand */
95
        mant2 |= FLOAT32_HIDDEN_BIT_MASK;
96
    };
97
 
98
    /* create some space for rounding */
99
    mant1 <<= 6;
100
    mant2 <<= 6;
101
 
732 cejka 102
    if (expdiff > (FLOAT32_MANTISA_SIZE + 1) ) {
731 cejka 103
         goto done;
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         };
105
 
732 cejka 106
    mant2 >>= expdiff;
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    mant1 += mant2;
731 cejka 108
done:
732 cejka 109
    if (mant1 & (FLOAT32_HIDDEN_BIT_MASK << 7) ) {
731 cejka 110
        ++exp1;
111
        mant1 >>= 1;
112
    };
113
 
114
    /* rounding - if first bit after mantisa is set then round up */
115
    mant1 += (0x1 << 5);
116
 
732 cejka 117
    if (mant1 & (FLOAT32_HIDDEN_BIT_MASK << 7)) {
731 cejka 118
        ++exp1;
732 cejka 119
        mant1 >>= 1;
731 cejka 120
    };
121
 
122
    a.parts.exp = exp1;
123
 
124
    /*Clear hidden bit and shift */
732 cejka 125
    a.parts.mantisa = ((mant1 >> 6) & (~FLOAT32_HIDDEN_BIT_MASK)) ;
731 cejka 126
    return a;
127
}
128
 
129
 
130
/** Add two Float64 numbers with same signs
131
 */
132
float64 addFloat64(float64 a, float64 b)
133
{
134
    int expdiff;
732 cejka 135
    __u64 exp1, exp2, mant1, mant2;
731 cejka 136
 
732 cejka 137
    expdiff = a.parts.exp - b.parts.exp;
138
    if (expdiff < 0) {
731 cejka 139
        if (isFloat64NaN(b)) {
140
            //TODO: fix SigNaN
141
            if (isFloat64SigNaN(b)) {
142
            };
143
 
144
            return b;
145
        };
146
 
147
        /* b is infinity and a not */  
732 cejka 148
        if (b.parts.exp == FLOAT64_MAX_EXPONENT ) {
731 cejka 149
            return b;
150
        }
151
 
732 cejka 152
        mant1 = b.parts.mantisa;
153
        exp1 = b.parts.exp;
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        mant2 = a.parts.mantisa;
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        exp2 = a.parts.exp;
156
        expdiff *= -1;
731 cejka 157
    } else {
158
        if (isFloat64NaN(a)) {
159
            //TODO: fix SigNaN
732 cejka 160
            if (isFloat64SigNaN(a) || isFloat64SigNaN(b)) {
731 cejka 161
            };
162
            return a;
163
        };
164
 
165
        /* a is infinity and b not */
732 cejka 166
        if (a.parts.exp == FLOAT64_MAX_EXPONENT ) {
731 cejka 167
            return a;
168
        }
169
 
170
        mant1 = a.parts.mantisa;
171
        exp1 = a.parts.exp;
172
        mant2 = b.parts.mantisa;
173
        exp2 = b.parts.exp;
174
    };
175
 
176
    if (exp1 == 0) {
177
        /* both are denormalized */
178
        mant1 += mant2;
179
        if (mant1 & FLOAT64_HIDDEN_BIT_MASK) {
180
            /* result is not denormalized */
181
            a.parts.exp = 1;
182
        };
183
        a.parts.mantisa = mant1;
184
        return a;
185
    };
186
 
187
    /* add hidden bit - mant1 is sure not denormalized */
188
    mant1 |= FLOAT64_HIDDEN_BIT_MASK;
189
 
190
    /* second operand ... */
191
    if (exp2 == 0) {
192
        /* ... is denormalized */
193
        --expdiff; 
194
    } else {
195
        /* is not denormalized */
196
        mant2 |= FLOAT64_HIDDEN_BIT_MASK;
197
    };
198
 
199
    /* create some space for rounding */
200
    mant1 <<= 6;
201
    mant2 <<= 6;
202
 
732 cejka 203
    if (expdiff > (FLOAT64_MANTISA_SIZE + 1) ) {
731 cejka 204
         goto done;
205
         };
206
 
207
    mant2 >>= expdiff;
208
    mant1 += mant2;
209
done:
732 cejka 210
    if (mant1 & (FLOAT64_HIDDEN_BIT_MASK << 7) ) {
731 cejka 211
        ++exp1;
212
        mant1 >>= 1;
213
    };
214
 
215
    /* rounding - if first bit after mantisa is set then round up */
216
    mant1 += (0x1 << 5);
217
 
732 cejka 218
    if (mant1 & (FLOAT64_HIDDEN_BIT_MASK << 7)) {
731 cejka 219
        ++exp1;
732 cejka 220
        mant1 >>= 1;
731 cejka 221
    };
222
 
223
    a.parts.exp = exp1;
224
    /*Clear hidden bit and shift */
732 cejka 225
    a.parts.mantisa = ( (mant1 >> 6 ) & (~FLOAT64_HIDDEN_BIT_MASK));
731 cejka 226
    return a;
227
}
228
 
229