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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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 */
28
 
29
#include<sftypes.h>
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#include<add.h>
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#include<comparison.h>
32
 
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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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			};
46
 
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
 
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)) {
61
			//TODO: fix SigNaN
732 cejka 62
			if (isFloat32SigNaN(a) || isFloat32SigNaN(b)) {
731 cejka 63
			};
64
			return a;
65
		};
66
 
732 cejka 67
		if (a.parts.exp == FLOAT32_MAX_EXPONENT) { 
731 cejka 68
			return a;
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		}
70
 
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) {
78
		/* both are denormalized */
79
		mant1 += mant2;
80
		if (mant1 & FLOAT32_HIDDEN_BIT_MASK ) {
81
			/* result is not denormalized */
82
			a.parts.exp = 1;
83
		};
84
		a.parts.mantisa = mant1;
85
		return a;
86
	};
87
 
88
	mant1 |= FLOAT32_HIDDEN_BIT_MASK; //add hidden bit
89
 
90
	if (exp2 == 0) {
91
		/* second operand is denormalized */
92
		--expdiff;	
93
	} else {
94
		/* 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;	
104
	     };
105
 
732 cejka 106
	mant2 >>= expdiff;
107
	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;
154
		mant2 = a.parts.mantisa;
155
		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