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| Rev 734 | Rev 804 | ||
|---|---|---|---|
| Line 33... | Line 33... | ||
| 33 | /** Subtract two float32 numbers with same signs |
33 | /** Subtract two float32 numbers with same signs |
| 34 | */ |
34 | */ |
| 35 | float32 subFloat32(float32 a, float32 b) |
35 | float32 subFloat32(float32 a, float32 b) |
| 36 | { |
36 | { |
| 37 | int expdiff; |
37 | int expdiff; |
| 38 | __u32 exp1, exp2, mant1, mant2; |
38 | __u32 exp1, exp2, frac1, frac2; |
| 39 | float32 result; |
39 | float32 result; |
| 40 | 40 | ||
| 41 | result.f = 0; |
41 | result.f = 0; |
| 42 | 42 | ||
| 43 | expdiff = a.parts.exp - b.parts.exp; |
43 | expdiff = a.parts.exp - b.parts.exp; |
| 44 | if ((expdiff < 0 ) || ((expdiff == 0) && (a.parts.mantisa < b.parts.mantisa))) { |
44 | if ((expdiff < 0 ) || ((expdiff == 0) && (a.parts.fraction < b.parts.fraction))) { |
| 45 | if (isFloat32NaN(b)) { |
45 | if (isFloat32NaN(b)) { |
| 46 | //TODO: fix SigNaN |
46 | /* TODO: fix SigNaN */ |
| 47 | if (isFloat32SigNaN(b)) { |
47 | if (isFloat32SigNaN(b)) { |
| 48 | }; |
48 | }; |
| 49 | return b; |
49 | return b; |
| 50 | }; |
50 | }; |
| 51 | 51 | ||
| Line 54... | Line 54... | ||
| 54 | return b; |
54 | return b; |
| 55 | } |
55 | } |
| 56 | 56 | ||
| 57 | result.parts.sign = !a.parts.sign; |
57 | result.parts.sign = !a.parts.sign; |
| 58 | 58 | ||
| 59 | mant1 = b.parts.mantisa; |
59 | frac1 = b.parts.fraction; |
| 60 | exp1 = b.parts.exp; |
60 | exp1 = b.parts.exp; |
| 61 | mant2 = a.parts.mantisa; |
61 | frac2 = a.parts.fraction; |
| 62 | exp2 = a.parts.exp; |
62 | exp2 = a.parts.exp; |
| 63 | expdiff *= -1; |
63 | expdiff *= -1; |
| 64 | } else { |
64 | } else { |
| 65 | if (isFloat32NaN(a)) { |
65 | if (isFloat32NaN(a)) { |
| 66 | //TODO: fix SigNaN |
66 | /* TODO: fix SigNaN */ |
| 67 | if (isFloat32SigNaN(a) || isFloat32SigNaN(b)) { |
67 | if (isFloat32SigNaN(a) || isFloat32SigNaN(b)) { |
| 68 | }; |
68 | }; |
| 69 | return a; |
69 | return a; |
| 70 | }; |
70 | }; |
| 71 | 71 | ||
| 72 | if (a.parts.exp == FLOAT32_MAX_EXPONENT) { |
72 | if (a.parts.exp == FLOAT32_MAX_EXPONENT) { |
| 73 | if (b.parts.exp == FLOAT32_MAX_EXPONENT) { |
73 | if (b.parts.exp == FLOAT32_MAX_EXPONENT) { |
| 74 | /* inf - inf => nan */ |
74 | /* inf - inf => nan */ |
| 75 | //TODO: fix exception |
75 | /* TODO: fix exception */ |
| 76 | result.binary = FLOAT32_NAN; |
76 | result.binary = FLOAT32_NAN; |
| 77 | return result; |
77 | return result; |
| 78 | }; |
78 | }; |
| 79 | return a; |
79 | return a; |
| 80 | } |
80 | } |
| 81 | 81 | ||
| 82 | result.parts.sign = a.parts.sign; |
82 | result.parts.sign = a.parts.sign; |
| 83 | 83 | ||
| 84 | mant1 = a.parts.mantisa; |
84 | frac1 = a.parts.fraction; |
| 85 | exp1 = a.parts.exp; |
85 | exp1 = a.parts.exp; |
| 86 | mant2 = b.parts.mantisa; |
86 | frac2 = b.parts.fraction; |
| 87 | exp2 = b.parts.exp; |
87 | exp2 = b.parts.exp; |
| 88 | }; |
88 | }; |
| 89 | 89 | ||
| 90 | if (exp1 == 0) { |
90 | if (exp1 == 0) { |
| 91 | //both are denormalized |
91 | /* both are denormalized */ |
| 92 | result.parts.mantisa = mant1-mant2; |
92 | result.parts.fraction = frac1-frac2; |
| 93 | if (result.parts.mantisa > mant1) { |
93 | if (result.parts.fraction > frac1) { |
| 94 | //TODO: underflow exception |
94 | /* TODO: underflow exception */ |
| 95 | return result; |
95 | return result; |
| 96 | }; |
96 | }; |
| 97 | result.parts.exp = 0; |
97 | result.parts.exp = 0; |
| 98 | return result; |
98 | return result; |
| 99 | }; |
99 | }; |
| 100 | 100 | ||
| 101 | /* add hidden bit */ |
101 | /* add hidden bit */ |
| 102 | mant1 |= FLOAT32_HIDDEN_BIT_MASK; |
102 | frac1 |= FLOAT32_HIDDEN_BIT_MASK; |
| 103 | 103 | ||
| 104 | if (exp2 == 0) { |
104 | if (exp2 == 0) { |
| 105 | /* denormalized */ |
105 | /* denormalized */ |
| 106 | --expdiff; |
106 | --expdiff; |
| 107 | } else { |
107 | } else { |
| 108 | /* normalized */ |
108 | /* normalized */ |
| 109 | mant2 |= FLOAT32_HIDDEN_BIT_MASK; |
109 | frac2 |= FLOAT32_HIDDEN_BIT_MASK; |
| 110 | }; |
110 | }; |
| 111 | 111 | ||
| 112 | /* create some space for rounding */ |
112 | /* create some space for rounding */ |
| 113 | mant1 <<= 6; |
113 | frac1 <<= 6; |
| 114 | mant2 <<= 6; |
114 | frac2 <<= 6; |
| 115 | 115 | ||
| 116 | if (expdiff > FLOAT32_MANTISA_SIZE + 1) { |
116 | if (expdiff > FLOAT32_FRACTION_SIZE + 1) { |
| 117 | goto done; |
117 | goto done; |
| 118 | }; |
118 | }; |
| 119 | 119 | ||
| 120 | mant1 = mant1 - (mant2 >> expdiff); |
120 | frac1 = frac1 - (frac2 >> expdiff); |
| 121 | done: |
121 | done: |
| 122 | //TODO: find first nonzero digit and shift result and detect possibly underflow |
122 | /* TODO: find first nonzero digit and shift result and detect possibly underflow */ |
| 123 | while ((exp1 > 0) && (!(mant1 & (FLOAT32_HIDDEN_BIT_MASK << 6 )))) { |
123 | while ((exp1 > 0) && (!(frac1 & (FLOAT32_HIDDEN_BIT_MASK << 6 )))) { |
| 124 | --exp1; |
124 | --exp1; |
| 125 | mant1 <<= 1; |
125 | frac1 <<= 1; |
| 126 | /* TODO: fix underflow - mant1 == 0 does not necessary means underflow... */ |
126 | /* TODO: fix underflow - frac1 == 0 does not necessary means underflow... */ |
| 127 | }; |
127 | }; |
| 128 | 128 | ||
| 129 | /* rounding - if first bit after mantisa is set then round up */ |
129 | /* rounding - if first bit after fraction is set then round up */ |
| 130 | mant1 += 0x20; |
130 | frac1 += 0x20; |
| 131 | 131 | ||
| 132 | if (mant1 & (FLOAT32_HIDDEN_BIT_MASK << 7)) { |
132 | if (frac1 & (FLOAT32_HIDDEN_BIT_MASK << 7)) { |
| 133 | ++exp1; |
133 | ++exp1; |
| 134 | mant1 >>= 1; |
134 | frac1 >>= 1; |
| 135 | }; |
135 | }; |
| 136 | 136 | ||
| 137 | /*Clear hidden bit and shift */ |
137 | /*Clear hidden bit and shift */ |
| 138 | result.parts.mantisa = ((mant1 >> 6) & (~FLOAT32_HIDDEN_BIT_MASK)); |
138 | result.parts.fraction = ((frac1 >> 6) & (~FLOAT32_HIDDEN_BIT_MASK)); |
| 139 | result.parts.exp = exp1; |
139 | result.parts.exp = exp1; |
| 140 | 140 | ||
| 141 | return result; |
141 | return result; |
| 142 | } |
142 | } |
| 143 | 143 | ||
| Line 145... | Line 145... | ||
| 145 | */ |
145 | */ |
| 146 | float64 subFloat64(float64 a, float64 b) |
146 | float64 subFloat64(float64 a, float64 b) |
| 147 | { |
147 | { |
| 148 | int expdiff; |
148 | int expdiff; |
| 149 | __u32 exp1, exp2; |
149 | __u32 exp1, exp2; |
| 150 | __u64 mant1, mant2; |
150 | __u64 frac1, frac2; |
| 151 | float64 result; |
151 | float64 result; |
| 152 | 152 | ||
| 153 | result.d = 0; |
153 | result.d = 0; |
| 154 | 154 | ||
| 155 | expdiff = a.parts.exp - b.parts.exp; |
155 | expdiff = a.parts.exp - b.parts.exp; |
| 156 | if ((expdiff < 0 ) || ((expdiff == 0) && (a.parts.mantisa < b.parts.mantisa))) { |
156 | if ((expdiff < 0 ) || ((expdiff == 0) && (a.parts.fraction < b.parts.fraction))) { |
| 157 | if (isFloat64NaN(b)) { |
157 | if (isFloat64NaN(b)) { |
| 158 | //TODO: fix SigNaN |
158 | /* TODO: fix SigNaN */ |
| 159 | if (isFloat64SigNaN(b)) { |
159 | if (isFloat64SigNaN(b)) { |
| 160 | }; |
160 | }; |
| 161 | return b; |
161 | return b; |
| 162 | }; |
162 | }; |
| 163 | 163 | ||
| Line 166... | Line 166... | ||
| 166 | return b; |
166 | return b; |
| 167 | } |
167 | } |
| 168 | 168 | ||
| 169 | result.parts.sign = !a.parts.sign; |
169 | result.parts.sign = !a.parts.sign; |
| 170 | 170 | ||
| 171 | mant1 = b.parts.mantisa; |
171 | frac1 = b.parts.fraction; |
| 172 | exp1 = b.parts.exp; |
172 | exp1 = b.parts.exp; |
| 173 | mant2 = a.parts.mantisa; |
173 | frac2 = a.parts.fraction; |
| 174 | exp2 = a.parts.exp; |
174 | exp2 = a.parts.exp; |
| 175 | expdiff *= -1; |
175 | expdiff *= -1; |
| 176 | } else { |
176 | } else { |
| 177 | if (isFloat64NaN(a)) { |
177 | if (isFloat64NaN(a)) { |
| 178 | //TODO: fix SigNaN |
178 | /* TODO: fix SigNaN */ |
| 179 | if (isFloat64SigNaN(a) || isFloat64SigNaN(b)) { |
179 | if (isFloat64SigNaN(a) || isFloat64SigNaN(b)) { |
| 180 | }; |
180 | }; |
| 181 | return a; |
181 | return a; |
| 182 | }; |
182 | }; |
| 183 | 183 | ||
| 184 | if (a.parts.exp == FLOAT64_MAX_EXPONENT) { |
184 | if (a.parts.exp == FLOAT64_MAX_EXPONENT) { |
| 185 | if (b.parts.exp == FLOAT64_MAX_EXPONENT) { |
185 | if (b.parts.exp == FLOAT64_MAX_EXPONENT) { |
| 186 | /* inf - inf => nan */ |
186 | /* inf - inf => nan */ |
| 187 | //TODO: fix exception |
187 | /* TODO: fix exception */ |
| 188 | result.binary = FLOAT64_NAN; |
188 | result.binary = FLOAT64_NAN; |
| 189 | return result; |
189 | return result; |
| 190 | }; |
190 | }; |
| 191 | return a; |
191 | return a; |
| 192 | } |
192 | } |
| 193 | 193 | ||
| 194 | result.parts.sign = a.parts.sign; |
194 | result.parts.sign = a.parts.sign; |
| 195 | 195 | ||
| 196 | mant1 = a.parts.mantisa; |
196 | frac1 = a.parts.fraction; |
| 197 | exp1 = a.parts.exp; |
197 | exp1 = a.parts.exp; |
| 198 | mant2 = b.parts.mantisa; |
198 | frac2 = b.parts.fraction; |
| 199 | exp2 = b.parts.exp; |
199 | exp2 = b.parts.exp; |
| 200 | }; |
200 | }; |
| 201 | 201 | ||
| 202 | if (exp1 == 0) { |
202 | if (exp1 == 0) { |
| 203 | //both are denormalized |
203 | /* both are denormalized */ |
| 204 | result.parts.mantisa = mant1 - mant2; |
204 | result.parts.fraction = frac1 - frac2; |
| 205 | if (result.parts.mantisa > mant1) { |
205 | if (result.parts.fraction > frac1) { |
| 206 | //TODO: underflow exception |
206 | /* TODO: underflow exception */ |
| 207 | return result; |
207 | return result; |
| 208 | }; |
208 | }; |
| 209 | result.parts.exp = 0; |
209 | result.parts.exp = 0; |
| 210 | return result; |
210 | return result; |
| 211 | }; |
211 | }; |
| 212 | 212 | ||
| 213 | /* add hidden bit */ |
213 | /* add hidden bit */ |
| 214 | mant1 |= FLOAT64_HIDDEN_BIT_MASK; |
214 | frac1 |= FLOAT64_HIDDEN_BIT_MASK; |
| 215 | 215 | ||
| 216 | if (exp2 == 0) { |
216 | if (exp2 == 0) { |
| 217 | /* denormalized */ |
217 | /* denormalized */ |
| 218 | --expdiff; |
218 | --expdiff; |
| 219 | } else { |
219 | } else { |
| 220 | /* normalized */ |
220 | /* normalized */ |
| 221 | mant2 |= FLOAT64_HIDDEN_BIT_MASK; |
221 | frac2 |= FLOAT64_HIDDEN_BIT_MASK; |
| 222 | }; |
222 | }; |
| 223 | 223 | ||
| 224 | /* create some space for rounding */ |
224 | /* create some space for rounding */ |
| 225 | mant1 <<= 6; |
225 | frac1 <<= 6; |
| 226 | mant2 <<= 6; |
226 | frac2 <<= 6; |
| 227 | 227 | ||
| 228 | if (expdiff > FLOAT64_MANTISA_SIZE + 1) { |
228 | if (expdiff > FLOAT64_FRACTION_SIZE + 1) { |
| 229 | goto done; |
229 | goto done; |
| 230 | }; |
230 | }; |
| 231 | 231 | ||
| 232 | mant1 = mant1 - (mant2 >> expdiff); |
232 | frac1 = frac1 - (frac2 >> expdiff); |
| 233 | done: |
233 | done: |
| 234 | //TODO: find first nonzero digit and shift result and detect possibly underflow |
234 | /* TODO: find first nonzero digit and shift result and detect possibly underflow */ |
| 235 | while ((exp1 > 0) && (!(mant1 & (FLOAT64_HIDDEN_BIT_MASK << 6 )))) { |
235 | while ((exp1 > 0) && (!(frac1 & (FLOAT64_HIDDEN_BIT_MASK << 6 )))) { |
| 236 | --exp1; |
236 | --exp1; |
| 237 | mant1 <<= 1; |
237 | frac1 <<= 1; |
| 238 | /* TODO: fix underflow - mant1 == 0 does not necessary means underflow... */ |
238 | /* TODO: fix underflow - frac1 == 0 does not necessary means underflow... */ |
| 239 | }; |
239 | }; |
| 240 | 240 | ||
| 241 | /* rounding - if first bit after mantisa is set then round up */ |
241 | /* rounding - if first bit after fraction is set then round up */ |
| 242 | mant1 += 0x20; |
242 | frac1 += 0x20; |
| 243 | 243 | ||
| 244 | if (mant1 & (FLOAT64_HIDDEN_BIT_MASK << 7)) { |
244 | if (frac1 & (FLOAT64_HIDDEN_BIT_MASK << 7)) { |
| 245 | ++exp1; |
245 | ++exp1; |
| 246 | mant1 >>= 1; |
246 | frac1 >>= 1; |
| 247 | }; |
247 | }; |
| 248 | 248 | ||
| 249 | /*Clear hidden bit and shift */ |
249 | /*Clear hidden bit and shift */ |
| 250 | result.parts.mantisa = ((mant1 >> 6) & (~FLOAT64_HIDDEN_BIT_MASK)); |
250 | result.parts.fraction = ((frac1 >> 6) & (~FLOAT64_HIDDEN_BIT_MASK)); |
| 251 | result.parts.exp = exp1; |
251 | result.parts.exp = exp1; |
| 252 | 252 | ||
| 253 | return result; |
253 | return result; |
| 254 | } |
254 | } |
| 255 | 255 | ||