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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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29
#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;
804 cejka 38
	__u32 exp1, exp2,frac1, frac2;
731 cejka 39
 
732 cejka 40
	expdiff = a.parts.exp - b.parts.exp;
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	if (expdiff < 0) {
731 cejka 42
		if (isFloat32NaN(b)) {
804 cejka 43
			/* TODO: fix SigNaN */
731 cejka 44
			if (isFloat32SigNaN(b)) {
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			};
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47
			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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		}
53
 
804 cejka 54
		frac1 = b.parts.fraction;
732 cejka 55
		exp1 = b.parts.exp;
804 cejka 56
		frac2 = a.parts.fraction;
732 cejka 57
		exp2 = a.parts.exp;
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		expdiff *= -1;
731 cejka 59
	} else {
804 cejka 60
		if ((isFloat32NaN(a)) || (isFloat32NaN(b))) {
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			/* TODO: fix SigNaN */
732 cejka 62
			if (isFloat32SigNaN(a) || isFloat32SigNaN(b)) {
731 cejka 63
			};
804 cejka 64
			return (isFloat32NaN(a)?a:b);
731 cejka 65
		};
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732 cejka 67
		if (a.parts.exp == FLOAT32_MAX_EXPONENT) { 
731 cejka 68
			return a;
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		}
70
 
804 cejka 71
		frac1 = a.parts.fraction;
732 cejka 72
		exp1 = a.parts.exp;
804 cejka 73
		frac2 = b.parts.fraction;
732 cejka 74
		exp2 = b.parts.exp;
731 cejka 75
	};
76
 
77
	if (exp1 == 0) {
78
		/* both are denormalized */
804 cejka 79
		frac1 += frac2;
80
		if (frac1 & FLOAT32_HIDDEN_BIT_MASK ) {
731 cejka 81
			/* result is not denormalized */
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			a.parts.exp = 1;
83
		};
804 cejka 84
		a.parts.fraction = frac1;
731 cejka 85
		return a;
86
	};
87
 
804 cejka 88
	frac1 |= FLOAT32_HIDDEN_BIT_MASK; /* add hidden bit */
731 cejka 89
 
90
	if (exp2 == 0) {
91
		/* second operand is denormalized */
828 cejka 92
		--expdiff;
731 cejka 93
	} else {
94
		/* add hidden bit to second operand */
804 cejka 95
		frac2 |= FLOAT32_HIDDEN_BIT_MASK; 
731 cejka 96
	};
97
 
98
	/* create some space for rounding */
804 cejka 99
	frac1 <<= 6;
100
	frac2 <<= 6;
731 cejka 101
 
804 cejka 102
	if (expdiff < (FLOAT32_FRACTION_SIZE + 2) ) {
103
		frac2 >>= expdiff;
104
		frac1 += frac2;
105
		};
731 cejka 106
 
804 cejka 107
	if (frac1 & (FLOAT32_HIDDEN_BIT_MASK << 7) ) {
731 cejka 108
		++exp1;
804 cejka 109
		frac1 >>= 1;
731 cejka 110
	};
111
 
804 cejka 112
	/* rounding - if first bit after fraction is set then round up */
113
	frac1 += (0x1 << 5);
731 cejka 114
 
804 cejka 115
	if (frac1 & (FLOAT32_HIDDEN_BIT_MASK << 7)) { 
116
		/* rounding overflow */
731 cejka 117
		++exp1;
804 cejka 118
		frac1 >>= 1;
731 cejka 119
	};
120
 
828 cejka 121
 
122
	if ((exp1 == FLOAT32_MAX_EXPONENT ) || (exp2 > exp1)) {
804 cejka 123
			/* overflow - set infinity as result */
124
			a.parts.exp = FLOAT32_MAX_EXPONENT;
125
			a.parts.fraction = 0;
126
			return a;
127
			}
128
 
731 cejka 129
	a.parts.exp = exp1;
130
 
131
	/*Clear hidden bit and shift */
804 cejka 132
	a.parts.fraction = ((frac1 >> 6) & (~FLOAT32_HIDDEN_BIT_MASK)) ; 
731 cejka 133
	return a;
134
}
135
 
136
 
137
/** Add two Float64 numbers with same signs
138
 */
139
float64 addFloat64(float64 a, float64 b)
140
{
141
	int expdiff;
734 cejka 142
	__u32 exp1, exp2;
804 cejka 143
	__u64 frac1, frac2;
731 cejka 144
 
732 cejka 145
	expdiff = a.parts.exp - b.parts.exp;
146
	if (expdiff < 0) {
731 cejka 147
		if (isFloat64NaN(b)) {
804 cejka 148
			/* TODO: fix SigNaN */
731 cejka 149
			if (isFloat64SigNaN(b)) {
150
			};
151
 
152
			return b;
153
		};
154
 
155
		/* b is infinity and a not */	
732 cejka 156
		if (b.parts.exp == FLOAT64_MAX_EXPONENT ) { 
731 cejka 157
			return b;
158
		}
159
 
804 cejka 160
		frac1 = b.parts.fraction;
732 cejka 161
		exp1 = b.parts.exp;
804 cejka 162
		frac2 = a.parts.fraction;
732 cejka 163
		exp2 = a.parts.exp;
164
		expdiff *= -1;
731 cejka 165
	} else {
166
		if (isFloat64NaN(a)) {
804 cejka 167
			/* TODO: fix SigNaN */
732 cejka 168
			if (isFloat64SigNaN(a) || isFloat64SigNaN(b)) {
731 cejka 169
			};
170
			return a;
171
		};
172
 
173
		/* a is infinity and b not */
732 cejka 174
		if (a.parts.exp == FLOAT64_MAX_EXPONENT ) { 
731 cejka 175
			return a;
176
		}
177
 
804 cejka 178
		frac1 = a.parts.fraction;
731 cejka 179
		exp1 = a.parts.exp;
804 cejka 180
		frac2 = b.parts.fraction;
731 cejka 181
		exp2 = b.parts.exp;
182
	};
183
 
184
	if (exp1 == 0) {
185
		/* both are denormalized */
804 cejka 186
		frac1 += frac2;
187
		if (frac1 & FLOAT64_HIDDEN_BIT_MASK) { 
731 cejka 188
			/* result is not denormalized */
189
			a.parts.exp = 1;
190
		};
804 cejka 191
		a.parts.fraction = frac1;
731 cejka 192
		return a;
193
	};
194
 
804 cejka 195
	/* add hidden bit - frac1 is sure not denormalized */
196
	frac1 |= FLOAT64_HIDDEN_BIT_MASK;
731 cejka 197
 
198
	/* second operand ... */
199
	if (exp2 == 0) {
200
		/* ... is denormalized */
201
		--expdiff;	
202
	} else {
203
		/* is not denormalized */
804 cejka 204
		frac2 |= FLOAT64_HIDDEN_BIT_MASK;
731 cejka 205
	};
206
 
207
	/* create some space for rounding */
804 cejka 208
	frac1 <<= 6;
209
	frac2 <<= 6;
731 cejka 210
 
804 cejka 211
	if (expdiff < (FLOAT64_FRACTION_SIZE + 2) ) {
212
		frac2 >>= expdiff;
213
		frac1 += frac2;
214
		};
731 cejka 215
 
804 cejka 216
	if (frac1 & (FLOAT64_HIDDEN_BIT_MASK << 7) ) {
731 cejka 217
		++exp1;
804 cejka 218
		frac1 >>= 1;
731 cejka 219
	};
220
 
804 cejka 221
	/* rounding - if first bit after fraction is set then round up */
222
	frac1 += (0x1 << 5); 
731 cejka 223
 
804 cejka 224
	if (frac1 & (FLOAT64_HIDDEN_BIT_MASK << 7)) { 
225
		/* rounding overflow */
731 cejka 226
		++exp1;
804 cejka 227
		frac1 >>= 1;
731 cejka 228
	};
229
 
804 cejka 230
	if ((a.parts.exp == FLOAT64_MAX_EXPONENT ) || (a.parts.exp < exp1)) {
231
			/* overflow - set infinity as result */
232
			a.parts.exp = FLOAT64_MAX_EXPONENT;
233
			a.parts.fraction = 0;
234
			return a;
235
			}
236
 
731 cejka 237
	a.parts.exp = exp1;
238
	/*Clear hidden bit and shift */
804 cejka 239
	a.parts.fraction = ( (frac1 >> 6 ) & (~FLOAT64_HIDDEN_BIT_MASK));
731 cejka 240
	return a;
241
}
242
 
243