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1
/*
1
/*
2
 * Copyright (C) 2005 Josef Cejka
2
 * Copyright (C) 2005 Josef Cejka
3
 * All rights reserved.
3
 * All rights reserved.
4
 *
4
 *
5
 * Redistribution and use in source and binary forms, with or without
5
 * Redistribution and use in source and binary forms, with or without
6
 * modification, are permitted provided that the following conditions
6
 * modification, are permitted provided that the following conditions
7
 * are met:
7
 * are met:
8
 *
8
 *
9
 * - Redistributions of source code must retain the above copyright
9
 * - Redistributions of source code must retain the above copyright
10
 *   notice, this list of conditions and the following disclaimer.
10
 *   notice, this list of conditions and the following disclaimer.
11
 * - Redistributions in binary form must reproduce the above copyright
11
 * - Redistributions in binary form must reproduce the above copyright
12
 *   notice, this list of conditions and the following disclaimer in the
12
 *   notice, this list of conditions and the following disclaimer in the
13
 *   documentation and/or other materials provided with the distribution.
13
 *   documentation and/or other materials provided with the distribution.
14
 * - The name of the author may not be used to endorse or promote products
14
 * - The name of the author may not be used to endorse or promote products
15
 *   derived from this software without specific prior written permission.
15
 *   derived from this software without specific prior written permission.
16
 *
16
 *
17
 * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
17
 * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
18
 * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
18
 * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
19
 * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
19
 * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
20
 * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
20
 * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
21
 * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
21
 * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
22
 * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
22
 * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
23
 * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
23
 * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
24
 * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
24
 * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
25
 * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
25
 * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
26
 * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
26
 * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
27
 */
27
 */
28
 
28
 
-
 
29
 /** @addtogroup softfloat 
-
 
30
 * @{
-
 
31
 */
-
 
32
/** @file
-
 
33
 */
-
 
34
 
29
#include<sftypes.h>
35
#include<sftypes.h>
30
#include<add.h>
36
#include<add.h>
31
#include<comparison.h>
37
#include<comparison.h>
32
 
38
 
33
/** Add two Float32 numbers with same signs
39
/** Add two Float32 numbers with same signs
34
 */
40
 */
35
float32 addFloat32(float32 a, float32 b)
41
float32 addFloat32(float32 a, float32 b)
36
{
42
{
37
    int expdiff;
43
    int expdiff;
38
    uint32_t exp1, exp2,frac1, frac2;
44
    uint32_t exp1, exp2,frac1, frac2;
39
   
45
   
40
    expdiff = a.parts.exp - b.parts.exp;
46
    expdiff = a.parts.exp - b.parts.exp;
41
    if (expdiff < 0) {
47
    if (expdiff < 0) {
42
        if (isFloat32NaN(b)) {
48
        if (isFloat32NaN(b)) {
43
            /* TODO: fix SigNaN */
49
            /* TODO: fix SigNaN */
44
            if (isFloat32SigNaN(b)) {
50
            if (isFloat32SigNaN(b)) {
45
            };
51
            };
46
 
52
 
47
            return b;
53
            return b;
48
        };
54
        };
49
       
55
       
50
        if (b.parts.exp == FLOAT32_MAX_EXPONENT) {
56
        if (b.parts.exp == FLOAT32_MAX_EXPONENT) {
51
            return b;
57
            return b;
52
        }
58
        }
53
       
59
       
54
        frac1 = b.parts.fraction;
60
        frac1 = b.parts.fraction;
55
        exp1 = b.parts.exp;
61
        exp1 = b.parts.exp;
56
        frac2 = a.parts.fraction;
62
        frac2 = a.parts.fraction;
57
        exp2 = a.parts.exp;
63
        exp2 = a.parts.exp;
58
        expdiff *= -1;
64
        expdiff *= -1;
59
    } else {
65
    } else {
60
        if ((isFloat32NaN(a)) || (isFloat32NaN(b))) {
66
        if ((isFloat32NaN(a)) || (isFloat32NaN(b))) {
61
            /* TODO: fix SigNaN */
67
            /* TODO: fix SigNaN */
62
            if (isFloat32SigNaN(a) || isFloat32SigNaN(b)) {
68
            if (isFloat32SigNaN(a) || isFloat32SigNaN(b)) {
63
            };
69
            };
64
            return (isFloat32NaN(a)?a:b);
70
            return (isFloat32NaN(a)?a:b);
65
        };
71
        };
66
       
72
       
67
        if (a.parts.exp == FLOAT32_MAX_EXPONENT) {
73
        if (a.parts.exp == FLOAT32_MAX_EXPONENT) {
68
            return a;
74
            return a;
69
        }
75
        }
70
       
76
       
71
        frac1 = a.parts.fraction;
77
        frac1 = a.parts.fraction;
72
        exp1 = a.parts.exp;
78
        exp1 = a.parts.exp;
73
        frac2 = b.parts.fraction;
79
        frac2 = b.parts.fraction;
74
        exp2 = b.parts.exp;
80
        exp2 = b.parts.exp;
75
    };
81
    };
76
   
82
   
77
    if (exp1 == 0) {
83
    if (exp1 == 0) {
78
        /* both are denormalized */
84
        /* both are denormalized */
79
        frac1 += frac2;
85
        frac1 += frac2;
80
        if (frac1 & FLOAT32_HIDDEN_BIT_MASK ) {
86
        if (frac1 & FLOAT32_HIDDEN_BIT_MASK ) {
81
            /* result is not denormalized */
87
            /* result is not denormalized */
82
            a.parts.exp = 1;
88
            a.parts.exp = 1;
83
        };
89
        };
84
        a.parts.fraction = frac1;
90
        a.parts.fraction = frac1;
85
        return a;
91
        return a;
86
    };
92
    };
87
   
93
   
88
    frac1 |= FLOAT32_HIDDEN_BIT_MASK; /* add hidden bit */
94
    frac1 |= FLOAT32_HIDDEN_BIT_MASK; /* add hidden bit */
89
 
95
 
90
    if (exp2 == 0) {
96
    if (exp2 == 0) {
91
        /* second operand is denormalized */
97
        /* second operand is denormalized */
92
        --expdiff;
98
        --expdiff;
93
    } else {
99
    } else {
94
        /* add hidden bit to second operand */
100
        /* add hidden bit to second operand */
95
        frac2 |= FLOAT32_HIDDEN_BIT_MASK;
101
        frac2 |= FLOAT32_HIDDEN_BIT_MASK;
96
    };
102
    };
97
   
103
   
98
    /* create some space for rounding */
104
    /* create some space for rounding */
99
    frac1 <<= 6;
105
    frac1 <<= 6;
100
    frac2 <<= 6;
106
    frac2 <<= 6;
101
   
107
   
102
    if (expdiff < (FLOAT32_FRACTION_SIZE + 2) ) {
108
    if (expdiff < (FLOAT32_FRACTION_SIZE + 2) ) {
103
        frac2 >>= expdiff;
109
        frac2 >>= expdiff;
104
        frac1 += frac2;
110
        frac1 += frac2;
105
    } else {
111
    } else {
106
        a.parts.exp = exp1;
112
        a.parts.exp = exp1;
107
        a.parts.fraction = (frac1 >> 6) & (~(FLOAT32_HIDDEN_BIT_MASK));
113
        a.parts.fraction = (frac1 >> 6) & (~(FLOAT32_HIDDEN_BIT_MASK));
108
        return a;
114
        return a;
109
    }
115
    }
110
   
116
   
111
    if (frac1 & (FLOAT32_HIDDEN_BIT_MASK << 7) ) {
117
    if (frac1 & (FLOAT32_HIDDEN_BIT_MASK << 7) ) {
112
        ++exp1;
118
        ++exp1;
113
        frac1 >>= 1;
119
        frac1 >>= 1;
114
    };
120
    };
115
   
121
   
116
    /* rounding - if first bit after fraction is set then round up */
122
    /* rounding - if first bit after fraction is set then round up */
117
    frac1 += (0x1 << 5);
123
    frac1 += (0x1 << 5);
118
   
124
   
119
    if (frac1 & (FLOAT32_HIDDEN_BIT_MASK << 7)) {
125
    if (frac1 & (FLOAT32_HIDDEN_BIT_MASK << 7)) {
120
        /* rounding overflow */
126
        /* rounding overflow */
121
        ++exp1;
127
        ++exp1;
122
        frac1 >>= 1;
128
        frac1 >>= 1;
123
    };
129
    };
124
   
130
   
125
   
131
   
126
    if ((exp1 == FLOAT32_MAX_EXPONENT ) || (exp2 > exp1)) {
132
    if ((exp1 == FLOAT32_MAX_EXPONENT ) || (exp2 > exp1)) {
127
            /* overflow - set infinity as result */
133
            /* overflow - set infinity as result */
128
            a.parts.exp = FLOAT32_MAX_EXPONENT;
134
            a.parts.exp = FLOAT32_MAX_EXPONENT;
129
            a.parts.fraction = 0;
135
            a.parts.fraction = 0;
130
            return a;
136
            return a;
131
            }
137
            }
132
   
138
   
133
    a.parts.exp = exp1;
139
    a.parts.exp = exp1;
134
   
140
   
135
    /*Clear hidden bit and shift */
141
    /*Clear hidden bit and shift */
136
    a.parts.fraction = ((frac1 >> 6) & (~FLOAT32_HIDDEN_BIT_MASK)) ;
142
    a.parts.fraction = ((frac1 >> 6) & (~FLOAT32_HIDDEN_BIT_MASK)) ;
137
    return a;
143
    return a;
138
}
144
}
139
 
145
 
140
 
146
 
141
/** Add two Float64 numbers with same signs
147
/** Add two Float64 numbers with same signs
142
 */
148
 */
143
float64 addFloat64(float64 a, float64 b)
149
float64 addFloat64(float64 a, float64 b)
144
{
150
{
145
    int expdiff;
151
    int expdiff;
146
    uint32_t exp1, exp2;
152
    uint32_t exp1, exp2;
147
    uint64_t frac1, frac2;
153
    uint64_t frac1, frac2;
148
   
154
   
149
    expdiff = ((int )a.parts.exp) - b.parts.exp;
155
    expdiff = ((int )a.parts.exp) - b.parts.exp;
150
    if (expdiff < 0) {
156
    if (expdiff < 0) {
151
        if (isFloat64NaN(b)) {
157
        if (isFloat64NaN(b)) {
152
            /* TODO: fix SigNaN */
158
            /* TODO: fix SigNaN */
153
            if (isFloat64SigNaN(b)) {
159
            if (isFloat64SigNaN(b)) {
154
            };
160
            };
155
 
161
 
156
            return b;
162
            return b;
157
        };
163
        };
158
       
164
       
159
        /* b is infinity and a not */  
165
        /* b is infinity and a not */  
160
        if (b.parts.exp == FLOAT64_MAX_EXPONENT ) {
166
        if (b.parts.exp == FLOAT64_MAX_EXPONENT ) {
161
            return b;
167
            return b;
162
        }
168
        }
163
       
169
       
164
        frac1 = b.parts.fraction;
170
        frac1 = b.parts.fraction;
165
        exp1 = b.parts.exp;
171
        exp1 = b.parts.exp;
166
        frac2 = a.parts.fraction;
172
        frac2 = a.parts.fraction;
167
        exp2 = a.parts.exp;
173
        exp2 = a.parts.exp;
168
        expdiff *= -1;
174
        expdiff *= -1;
169
    } else {
175
    } else {
170
        if (isFloat64NaN(a)) {
176
        if (isFloat64NaN(a)) {
171
            /* TODO: fix SigNaN */
177
            /* TODO: fix SigNaN */
172
            if (isFloat64SigNaN(a) || isFloat64SigNaN(b)) {
178
            if (isFloat64SigNaN(a) || isFloat64SigNaN(b)) {
173
            };
179
            };
174
            return a;
180
            return a;
175
        };
181
        };
176
       
182
       
177
        /* a is infinity and b not */
183
        /* a is infinity and b not */
178
        if (a.parts.exp == FLOAT64_MAX_EXPONENT ) {
184
        if (a.parts.exp == FLOAT64_MAX_EXPONENT ) {
179
            return a;
185
            return a;
180
        }
186
        }
181
       
187
       
182
        frac1 = a.parts.fraction;
188
        frac1 = a.parts.fraction;
183
        exp1 = a.parts.exp;
189
        exp1 = a.parts.exp;
184
        frac2 = b.parts.fraction;
190
        frac2 = b.parts.fraction;
185
        exp2 = b.parts.exp;
191
        exp2 = b.parts.exp;
186
    };
192
    };
187
   
193
   
188
    if (exp1 == 0) {
194
    if (exp1 == 0) {
189
        /* both are denormalized */
195
        /* both are denormalized */
190
        frac1 += frac2;
196
        frac1 += frac2;
191
        if (frac1 & FLOAT64_HIDDEN_BIT_MASK) {
197
        if (frac1 & FLOAT64_HIDDEN_BIT_MASK) {
192
            /* result is not denormalized */
198
            /* result is not denormalized */
193
            a.parts.exp = 1;
199
            a.parts.exp = 1;
194
        };
200
        };
195
        a.parts.fraction = frac1;
201
        a.parts.fraction = frac1;
196
        return a;
202
        return a;
197
    };
203
    };
198
   
204
   
199
    /* add hidden bit - frac1 is sure not denormalized */
205
    /* add hidden bit - frac1 is sure not denormalized */
200
    frac1 |= FLOAT64_HIDDEN_BIT_MASK;
206
    frac1 |= FLOAT64_HIDDEN_BIT_MASK;
201
 
207
 
202
    /* second operand ... */
208
    /* second operand ... */
203
    if (exp2 == 0) {
209
    if (exp2 == 0) {
204
        /* ... is denormalized */
210
        /* ... is denormalized */
205
        --expdiff; 
211
        --expdiff; 
206
    } else {
212
    } else {
207
        /* is not denormalized */
213
        /* is not denormalized */
208
        frac2 |= FLOAT64_HIDDEN_BIT_MASK;
214
        frac2 |= FLOAT64_HIDDEN_BIT_MASK;
209
    };
215
    };
210
   
216
   
211
    /* create some space for rounding */
217
    /* create some space for rounding */
212
    frac1 <<= 6;
218
    frac1 <<= 6;
213
    frac2 <<= 6;
219
    frac2 <<= 6;
214
   
220
   
215
    if (expdiff < (FLOAT64_FRACTION_SIZE + 2) ) {
221
    if (expdiff < (FLOAT64_FRACTION_SIZE + 2) ) {
216
        frac2 >>= expdiff;
222
        frac2 >>= expdiff;
217
        frac1 += frac2;
223
        frac1 += frac2;
218
    } else {
224
    } else {
219
        a.parts.exp = exp1;
225
        a.parts.exp = exp1;
220
        a.parts.fraction = (frac1 >> 6) & (~(FLOAT64_HIDDEN_BIT_MASK));
226
        a.parts.fraction = (frac1 >> 6) & (~(FLOAT64_HIDDEN_BIT_MASK));
221
        return a;
227
        return a;
222
    }
228
    }
223
   
229
   
224
    if (frac1 & (FLOAT64_HIDDEN_BIT_MASK << 7) ) {
230
    if (frac1 & (FLOAT64_HIDDEN_BIT_MASK << 7) ) {
225
        ++exp1;
231
        ++exp1;
226
        frac1 >>= 1;
232
        frac1 >>= 1;
227
    };
233
    };
228
   
234
   
229
    /* rounding - if first bit after fraction is set then round up */
235
    /* rounding - if first bit after fraction is set then round up */
230
    frac1 += (0x1 << 5);
236
    frac1 += (0x1 << 5);
231
   
237
   
232
    if (frac1 & (FLOAT64_HIDDEN_BIT_MASK << 7)) {
238
    if (frac1 & (FLOAT64_HIDDEN_BIT_MASK << 7)) {
233
        /* rounding overflow */
239
        /* rounding overflow */
234
        ++exp1;
240
        ++exp1;
235
        frac1 >>= 1;
241
        frac1 >>= 1;
236
    };
242
    };
237
   
243
   
238
    if ((exp1 == FLOAT64_MAX_EXPONENT ) || (exp2 > exp1)) {
244
    if ((exp1 == FLOAT64_MAX_EXPONENT ) || (exp2 > exp1)) {
239
            /* overflow - set infinity as result */
245
            /* overflow - set infinity as result */
240
            a.parts.exp = FLOAT64_MAX_EXPONENT;
246
            a.parts.exp = FLOAT64_MAX_EXPONENT;
241
            a.parts.fraction = 0;
247
            a.parts.fraction = 0;
242
            return a;
248
            return a;
243
            }
249
            }
244
   
250
   
245
    a.parts.exp = exp1;
251
    a.parts.exp = exp1;
246
    /*Clear hidden bit and shift */
252
    /*Clear hidden bit and shift */
247
    a.parts.fraction = ( (frac1 >> 6 ) & (~FLOAT64_HIDDEN_BIT_MASK));
253
    a.parts.fraction = ( (frac1 >> 6 ) & (~FLOAT64_HIDDEN_BIT_MASK));
248
   
254
   
249
    return a;
255
    return a;
250
}
256
}
251
 
257
 
252
 
258
 
-
 
259
 
-
 
260
 /** @}
-
 
261
 */
-
 
262
 
253
 
263