Rev 835 | Rev 1031 | Go to most recent revision | Details | Compare with Previous | Last modification | View Log | RSS feed
Rev | Author | Line No. | Line |
---|---|---|---|
829 | cejka | 1 | /* |
2 | * Copyright (C) 2005 Josef Cejka |
||
3 | * All rights reserved. |
||
4 | * |
||
5 | * Redistribution and use in source and binary forms, with or without |
||
6 | * modification, are permitted provided that the following conditions |
||
7 | * are met: |
||
8 | * |
||
9 | * - Redistributions of source code must retain the above copyright |
||
10 | * notice, this list of conditions and the following disclaimer. |
||
11 | * - Redistributions in binary form must reproduce the above copyright |
||
12 | * notice, this list of conditions and the following disclaimer in the |
||
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 |
||
15 | * derived from this software without specific prior written permission. |
||
16 | * |
||
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 |
||
19 | * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. |
||
20 | * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT, |
||
21 | * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT |
||
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 |
||
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 |
||
26 | * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. |
||
27 | */ |
||
28 | |||
29 | #include<sftypes.h> |
||
30 | #include<common.h> |
||
31 | |||
874 | cejka | 32 | /* Table for fast leading zeroes counting */ |
33 | char zeroTable[256] = { |
||
34 | 8, 7, 7, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, \ |
||
35 | 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, \ |
||
36 | 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, \ |
||
37 | 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, \ |
||
38 | 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, \ |
||
39 | 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, \ |
||
40 | 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, \ |
||
41 | 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, \ |
||
42 | 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \ |
||
43 | 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \ |
||
44 | 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \ |
||
45 | 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \ |
||
46 | 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \ |
||
47 | 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \ |
||
48 | 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \ |
||
49 | 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 |
||
50 | }; |
||
51 | |||
52 | |||
53 | |||
829 | cejka | 54 | /** Take fraction shifted by 10 bits to left, round it, normalize it and detect exceptions |
55 | * @param exp exponent with bias |
||
56 | * @param cfrac fraction shifted 10 places left with added hidden bit |
||
57 | * @return valied float64 |
||
58 | */ |
||
59 | float64 finishFloat64(__s32 cexp, __u64 cfrac, char sign) |
||
60 | { |
||
61 | float64 result; |
||
62 | |||
63 | result.parts.sign = sign; |
||
64 | |||
65 | /* find first nonzero digit and shift result and detect possibly underflow */ |
||
66 | while ((cexp > 0) && (cfrac) && (!(cfrac & (FLOAT64_HIDDEN_BIT_MASK << (64 - FLOAT64_FRACTION_SIZE - 1 ) )))) { |
||
67 | cexp--; |
||
68 | cfrac <<= 1; |
||
69 | /* TODO: fix underflow */ |
||
70 | }; |
||
71 | |||
834 | cejka | 72 | if ((cexp < 0) || ( cexp == 0 && (!(cfrac & (FLOAT64_HIDDEN_BIT_MASK << (64 - FLOAT64_FRACTION_SIZE - 1)))))) { |
73 | /* FIXME: underflow */ |
||
74 | result.parts.exp = 0; |
||
835 | cejka | 75 | if ((cexp + FLOAT64_FRACTION_SIZE + 1) < 0) { /* +1 is place for rounding */ |
834 | cejka | 76 | result.parts.fraction = 0; |
77 | return result; |
||
78 | } |
||
835 | cejka | 79 | |
834 | cejka | 80 | while (cexp < 0) { |
81 | cexp++; |
||
82 | cfrac >>= 1; |
||
83 | } |
||
835 | cejka | 84 | |
85 | cfrac += (0x1 << (64 - FLOAT64_FRACTION_SIZE - 3)); |
||
86 | |||
874 | cejka | 87 | if (!(cfrac & (FLOAT64_HIDDEN_BIT_MASK << (64 - FLOAT64_FRACTION_SIZE - 1)))) { |
834 | cejka | 88 | |
835 | cejka | 89 | result.parts.fraction = ((cfrac >>(64 - FLOAT64_FRACTION_SIZE - 2) ) & (~FLOAT64_HIDDEN_BIT_MASK)); |
90 | return result; |
||
91 | } |
||
92 | } else { |
||
93 | cfrac += (0x1 << (64 - FLOAT64_FRACTION_SIZE - 3)); |
||
834 | cejka | 94 | } |
95 | |||
96 | ++cexp; |
||
97 | |||
829 | cejka | 98 | if (cfrac & (FLOAT64_HIDDEN_BIT_MASK << (64 - FLOAT64_FRACTION_SIZE - 1 ))) { |
99 | ++cexp; |
||
100 | cfrac >>= 1; |
||
834 | cejka | 101 | } |
829 | cejka | 102 | |
103 | /* check overflow */ |
||
104 | if (cexp >= FLOAT64_MAX_EXPONENT ) { |
||
105 | /* FIXME: overflow, return infinity */ |
||
106 | result.parts.exp = FLOAT64_MAX_EXPONENT; |
||
107 | result.parts.fraction = 0; |
||
108 | return result; |
||
109 | } |
||
110 | |||
834 | cejka | 111 | result.parts.exp = (__u32)cexp; |
829 | cejka | 112 | |
113 | result.parts.fraction = ((cfrac >>(64 - FLOAT64_FRACTION_SIZE - 2 ) ) & (~FLOAT64_HIDDEN_BIT_MASK)); |
||
114 | |||
115 | return result; |
||
116 | } |
||
834 | cejka | 117 | |
874 | cejka | 118 | /** Counts leading zeroes in 64bit unsigned integer |
119 | * @param i |
||
120 | */ |
||
121 | int countZeroes64(__u64 i) |
||
122 | { |
||
123 | int j; |
||
124 | for (j =0; j < 64; j += 8) { |
||
125 | if ( i & (0xFFll << (56 - j))) { |
||
126 | return (j + countZeroes8(i >> (56 - j))); |
||
127 | } |
||
128 | } |
||
129 | |||
130 | return 64; |
||
131 | } |
||
132 | |||
133 | /** Counts leading zeroes in 32bit unsigned integer |
||
134 | * @param i |
||
135 | */ |
||
136 | int countZeroes32(__u32 i) |
||
137 | { |
||
138 | int j; |
||
139 | for (j =0; j < 32; j += 8) { |
||
140 | if ( i & (0xFF << (24 - j))) { |
||
141 | return (j + countZeroes8(i >> (24 - j))); |
||
142 | } |
||
143 | } |
||
144 | |||
145 | return 32; |
||
146 | } |
||
147 | |||
148 | /** Counts leading zeroes in byte |
||
149 | * @param i |
||
150 | */ |
||
151 | int countZeroes8(__u8 i) |
||
152 | { |
||
153 | return zeroTable[i]; |
||
154 | } |
||
155 | |||
156 | /** Round and normalize number expressed by exponent and fraction with first bit (equal to hidden bit) at 30. bit |
||
157 | * @param exp exponent |
||
158 | * @param fraction part with hidden bit shifted to 30. bit |
||
159 | */ |
||
160 | void roundFloat32(__s32 *exp, __u32 *fraction) |
||
161 | { |
||
162 | /* rounding - if first bit after fraction is set then round up */ |
||
163 | (*fraction) += (0x1 << 6); |
||
164 | |||
165 | if ((*fraction) & (FLOAT32_HIDDEN_BIT_MASK << 8)) { |
||
166 | /* rounding overflow */ |
||
167 | ++(*exp); |
||
168 | (*fraction) >>= 1; |
||
169 | }; |
||
170 | |||
171 | if (((*exp) >= FLOAT32_MAX_EXPONENT ) || ((*exp) < 0)) { |
||
172 | /* overflow - set infinity as result */ |
||
173 | (*exp) = FLOAT32_MAX_EXPONENT; |
||
174 | (*fraction) = 0; |
||
175 | return; |
||
176 | } |
||
177 | |||
178 | return; |
||
179 | } |
||
180 | |||
181 | /** Round and normalize number expressed by exponent and fraction with first bit (equal to hidden bit) at 62. bit |
||
182 | * @param exp exponent |
||
183 | * @param fraction part with hidden bit shifted to 62. bit |
||
184 | */ |
||
185 | void roundFloat64(__s32 *exp, __u64 *fraction) |
||
186 | { |
||
187 | /* rounding - if first bit after fraction is set then round up */ |
||
188 | (*fraction) += (0x1 << 9); |
||
189 | |||
190 | if ((*fraction) & (FLOAT64_HIDDEN_BIT_MASK << 11)) { |
||
191 | /* rounding overflow */ |
||
192 | ++(*exp); |
||
193 | (*fraction) >>= 1; |
||
194 | }; |
||
195 | |||
196 | if (((*exp) >= FLOAT64_MAX_EXPONENT ) || ((*exp) < 0)) { |
||
197 | /* overflow - set infinity as result */ |
||
198 | (*exp) = FLOAT64_MAX_EXPONENT; |
||
199 | (*fraction) = 0; |
||
200 | return; |
||
201 | } |
||
202 | |||
203 | return; |
||
204 | } |
||
205 |