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1 | .file "tgammal.s" |
2 | ||
3 | ||
4 | // Copyright (c) 2002 - 2005, Intel Corporation | |
5 | // All rights reserved. | |
6 | // | |
7 | // Contributed 2002 by the Intel Numerics Group, Intel Corporation | |
8 | // | |
9 | // Redistribution and use in source and binary forms, with or without | |
10 | // modification, are permitted provided that the following conditions are | |
11 | // met: | |
12 | // | |
13 | // * Redistributions of source code must retain the above copyright | |
14 | // notice, this list of conditions and the following disclaimer. | |
15 | // | |
16 | // * Redistributions in binary form must reproduce the above copyright | |
17 | // notice, this list of conditions and the following disclaimer in the | |
18 | // documentation and/or other materials provided with the distribution. | |
19 | // | |
20 | // * The name of Intel Corporation may not be used to endorse or promote | |
21 | // products derived from this software without specific prior written | |
22 | // permission. | |
23 | ||
0347518d MF |
24 | // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS |
25 | // "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT | |
d5efd131 | 26 | // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR |
0347518d | 27 | // A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS |
d5efd131 | 28 | // CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, |
0347518d MF |
29 | // EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, |
30 | // PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR | |
31 | // PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY | |
d5efd131 | 32 | // OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING |
0347518d MF |
33 | // NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS |
34 | // SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. | |
35 | // | |
d5efd131 | 36 | // Intel Corporation is the author of this code, and requests that all |
0347518d | 37 | // problem reports or change requests be submitted to it directly at |
d5efd131 MF |
38 | // http://www.intel.com/software/products/opensource/libraries/num.htm. |
39 | // | |
40 | // History | |
41 | //============================================================== | |
42 | // 01/16/02 Initial version | |
43 | // 05/20/02 Cleaned up namespace and sf0 syntax | |
44 | // 02/10/03 Reordered header: .section, .global, .proc, .align; | |
45 | // used data8 for long double table values | |
46 | // 03/17/03 Moved tgammal_libm_err label into .proc region | |
47 | // 04/10/03 Changed error codes for overflow and negative integers | |
48 | // 03/31/05 Reformatted delimiters between data tables | |
49 | // | |
50 | // API | |
51 | //============================================================== | |
52 | // long double tgammal(long double) | |
53 | // | |
54 | // Resources Used: | |
55 | // | |
56 | // Floating-Point Registers: f8-f15 | |
57 | // f32-f127 | |
58 | // | |
0347518d | 59 | // General Purpose Registers: r32-r67 |
d5efd131 MF |
60 | // |
61 | // Predicate Registers: p6-p15 | |
62 | // | |
63 | //********************************************************************* | |
64 | // | |
65 | // IEEE Special Conditions: | |
66 | // | |
67 | // tgammal(+inf) = +inf | |
0347518d MF |
68 | // tgammal(-inf) = QNaN |
69 | // tgammal(+/-0) = +/-inf | |
d5efd131 MF |
70 | // tgammal(x<0, x - integer) = QNaN |
71 | // tgammal(SNaN) = QNaN | |
72 | // tgammal(QNaN) = QNaN | |
73 | // | |
74 | //********************************************************************* | |
75 | // Overview of operation | |
76 | //============================================================== | |
77 | // | |
78 | // Algorithm description | |
79 | // --------------------- | |
80 | // | |
0347518d | 81 | // There are 3 main paths in the implementation |
d5efd131 MF |
82 | // (and additional special values branches) |
83 | // | |
84 | // 1) |X| >= 13 - Stirling formula computation | |
85 | // a) Positive arguments: | |
0347518d MF |
86 | // TGAMMAL(X) = exp((X-0.5)*ln(X) - X + C + S(Z)), |
87 | // where C = 0.5*ln(2*Pi) , Z = 1/Z, S(Z) - Bernulli polynomial | |
d5efd131 | 88 | // (up to 'B18' term). |
0347518d MF |
89 | // Some of these calculation done in multiprecision. |
90 | // Ln returns multiprecision result too | |
d5efd131 | 91 | // and exp also accepts and returns pair of values. |
0347518d | 92 | // |
d5efd131 MF |
93 | // b) Negative arguments |
94 | // TGAMMAL(-X) = PI/(X*TGAMMAL(X)*sin(PI*X)). | |
95 | // (X*sin(PI*X))/PI calculated in parallel with TGAMMAL. | |
96 | // Here we use polynomial of 9th degree with 2 multiprecision steps. | |
0347518d | 97 | // Argument range reduction is: |
d5efd131 MF |
98 | // N = [x] with round to nearest, r = x - N, -0.5 <= r < 0.5 |
99 | // After ((X-0.5)*ln(X) - X + C + S(Z)) completed we just invert | |
100 | // its result and compute exp with negative argument (1/exp(x)=exp(-x)) | |
101 | // Then we multiply exp result to PI/(X*sin(PI*X)). | |
102 | // | |
103 | // 2) 1 <= |X| < 13 - Polynomial part | |
104 | // a) Positive arguments: | |
105 | // All values are splitted to such intervals as: | |
106 | // #0->[2;3], #1->[3,4], #2->[5,6]... | |
107 | // For even intervals we just use polynomial computation with degree 20 | |
108 | // and first 6 multiprecision computations. | |
109 | // Range reduction looks like | |
110 | // N = [x] with truncate, r = x - N - 0.5, -0.5 <= r < 0.5 | |
0347518d | 111 | // For odd intervals we use reccurent formula: |
d5efd131 | 112 | // TGAMMAL(X) = TGAMMA(X-1)*(X-1) |
0347518d | 113 | // [1;2] interval is splitted to 3 subranges: |
d5efd131 MF |
114 | // [1;1.25], [1.25;1.75], [1.75;2] with the same polynomial forms |
115 | // | |
116 | // b) Negative arguments | |
117 | // TGAMMAL(-X) = PI/(X*TGAMMAL(X)*sin(PI*X)). | |
118 | // (X*sin(PI*X))/PI calculated in parallel with TGAMMAL. | |
119 | // After multiplication by TGAMMAL(X) result we calculate reciprocal | |
120 | // and get final result. | |
121 | // | |
122 | // 3) 0 < |X| < 1 - Near 0 part | |
123 | // a) Here we use reccurent formula TGAMMAL(X) = TGAMMAL(X+1)/X | |
0347518d | 124 | // TGAMMAL(X+1) calculated as shown above, |
d5efd131 MF |
125 | // 1/X result obtained in parallel. Then we just multiply these values. |
126 | // There is only additional separated subrange: [0;0.125] with specific | |
127 | // polynomial constants set. | |
128 | // | |
129 | // b) Negative arguments | |
130 | // TGAMMAL(-X) = PI/(TGAMMAL(X+1)*sin(PI*X)). | |
131 | // There is no need to compute 1/X. | |
132 | ||
133 | ||
134 | ||
135 | RODATA | |
136 | ||
137 | .align 16 | |
138 | LOCAL_OBJECT_START(Constants_Tgammal_log_80_Q) | |
0347518d | 139 | // log2_hi, log2_lo, Q_6, Q_5, Q_4, Q_3, Q_2, Q_1 |
d5efd131 MF |
140 | data4 0x00000000,0xB1721800,0x00003FFE,0x00000000 |
141 | data4 0x4361C4C6,0x82E30865,0x0000BFE2,0x00000000 | |
142 | data4 0xA51BE0AF,0x92492453,0x00003FFC,0x00000000 | |
143 | data4 0xA0CFD29F,0xAAAAAB73,0x0000BFFC,0x00000000 | |
144 | data4 0xCCCE3872,0xCCCCCCCC,0x00003FFC,0x00000000 | |
145 | data4 0xFFFFB4FB,0xFFFFFFFF,0x0000BFFC,0x00000000 | |
146 | data4 0xAAAAAAAB,0xAAAAAAAA,0x00003FFD,0x00000000 | |
0347518d | 147 | data4 0x00000000,0x80000000,0x0000BFFE,0x00000000 |
d5efd131 MF |
148 | LOCAL_OBJECT_END(Constants_Tgammal_log_80_Q) |
149 | ||
150 | .align 64 | |
151 | LOCAL_OBJECT_START(Constants_Tgammal_log_80_Z_G_H_h1) | |
0347518d | 152 | // Z1 - 16 bit fixed, G1 and H1 IEEE single, h1 IEEE double |
d5efd131 | 153 | data4 0x00008000,0x3F800000,0x00000000,0x00000000 |
0347518d | 154 | data4 0x00000000,0x00000000,0x00000000,0x00000000 |
d5efd131 MF |
155 | data4 0x00007879,0x3F70F0F0,0x3D785196,0x00000000 |
156 | data4 0xEBA0E0D1,0x8B1D330B,0x00003FDA,0x00000000 | |
157 | data4 0x000071C8,0x3F638E38,0x3DF13843,0x00000000 | |
158 | data4 0x9EADD553,0xE2AF365E,0x00003FE2,0x00000000 | |
159 | data4 0x00006BCB,0x3F579430,0x3E2FF9A0,0x00000000 | |
0347518d | 160 | data4 0x752F34A2,0xF585FEC3,0x0000BFE3,0x00000000 |
d5efd131 | 161 | data4 0x00006667,0x3F4CCCC8,0x3E647FD6,0x00000000 |
0347518d MF |
162 | data4 0x893B03F3,0xF3546435,0x00003FE2,0x00000000 |
163 | data4 0x00006187,0x3F430C30,0x3E8B3AE7,0x00000000 | |
164 | data4 0x39CDD2AC,0xBABA62E0,0x00003FE4,0x00000000 | |
165 | data4 0x00005D18,0x3F3A2E88,0x3EA30C68,0x00000000 | |
d5efd131 | 166 | data4 0x457978A1,0x8718789F,0x00003FE2,0x00000000 |
0347518d MF |
167 | data4 0x0000590C,0x3F321640,0x3EB9CEC8,0x00000000 |
168 | data4 0x3185E56A,0x9442DF96,0x0000BFE4,0x00000000 | |
169 | data4 0x00005556,0x3F2AAAA8,0x3ECF9927,0x00000000 | |
170 | data4 0x2BBE2CBD,0xCBF9A4BF,0x00003FE4,0x00000000 | |
171 | data4 0x000051EC,0x3F23D708,0x3EE47FC5,0x00000000 | |
172 | data4 0x852D5935,0xF3537535,0x00003FE3,0x00000000 | |
173 | data4 0x00004EC5,0x3F1D89D8,0x3EF8947D,0x00000000 | |
174 | data4 0x46CDF32F,0xA1F1E699,0x0000BFDF,0x00000000 | |
175 | data4 0x00004BDB,0x3F17B420,0x3F05F3A1,0x00000000 | |
176 | data4 0xD8484CE3,0x84A61856,0x00003FE4,0x00000000 | |
d5efd131 | 177 | data4 0x00004925,0x3F124920,0x3F0F4303,0x00000000 |
0347518d MF |
178 | data4 0xFF28821B,0xC7DD97E0,0x0000BFE2,0x00000000 |
179 | data4 0x0000469F,0x3F0D3DC8,0x3F183EBF,0x00000000 | |
180 | data4 0xEF1FD32F,0xD3C4A887,0x00003FE3,0x00000000 | |
181 | data4 0x00004445,0x3F088888,0x3F20EC80,0x00000000 | |
182 | data4 0x464C76DA,0x84672BE6,0x00003FE5,0x00000000 | |
d5efd131 | 183 | data4 0x00004211,0x3F042108,0x3F29516A,0x00000000 |
0347518d | 184 | data4 0x18835FB9,0x9A43A511,0x0000BFE5,0x00000000 |
d5efd131 MF |
185 | LOCAL_OBJECT_END(Constants_Tgammal_log_80_Z_G_H_h1) |
186 | ||
187 | .align 64 | |
188 | LOCAL_OBJECT_START(Constants_Tgammal_log_80_Z_G_H_h2) | |
189 | // Z2 - 16 bit fixed, G2 and H2 IEEE single, h2 IEEE double | |
0347518d MF |
190 | data4 0x00008000,0x3F800000,0x00000000,0x00000000 |
191 | data4 0x00000000,0x00000000,0x00000000,0x00000000 | |
192 | data4 0x00007F81,0x3F7F00F8,0x3B7F875D,0x00000000 | |
d5efd131 | 193 | data4 0x211398BF,0xAD08B116,0x00003FDB,0x00000000 |
0347518d MF |
194 | data4 0x00007F02,0x3F7E03F8,0x3BFF015B,0x00000000 |
195 | data4 0xC376958E,0xB106790F,0x00003FDE,0x00000000 | |
196 | data4 0x00007E85,0x3F7D08E0,0x3C3EE393,0x00000000 | |
197 | data4 0x79A7679A,0xFD03F242,0x0000BFDA,0x00000000 | |
198 | data4 0x00007E08,0x3F7C0FC0,0x3C7E0586,0x00000000 | |
199 | data4 0x05E7AE08,0xF03F81C3,0x0000BFDF,0x00000000 | |
200 | data4 0x00007D8D,0x3F7B1880,0x3C9E75D2,0x00000000 | |
d5efd131 | 201 | data4 0x049EB22F,0xD1B87D3C,0x00003FDE,0x00000000 |
0347518d MF |
202 | data4 0x00007D12,0x3F7A2328,0x3CBDC97A,0x00000000 |
203 | data4 0x3A9E81E0,0xFABC8B95,0x00003FDF,0x00000000 | |
d5efd131 | 204 | data4 0x00007C98,0x3F792FB0,0x3CDCFE47,0x00000000 |
0347518d MF |
205 | data4 0x7C4B5443,0xF5F3653F,0x00003FDF,0x00000000 |
206 | data4 0x00007C20,0x3F783E08,0x3CFC15D0,0x00000000 | |
207 | data4 0xF65A1773,0xE78AB204,0x00003FE0,0x00000000 | |
208 | data4 0x00007BA8,0x3F774E38,0x3D0D874D,0x00000000 | |
209 | data4 0x7B8EF695,0xDB7CBFFF,0x0000BFE0,0x00000000 | |
210 | data4 0x00007B31,0x3F766038,0x3D1CF49B,0x00000000 | |
211 | data4 0xCF773FB3,0xC0241AEA,0x0000BFE0,0x00000000 | |
212 | data4 0x00007ABB,0x3F757400,0x3D2C531D,0x00000000 | |
213 | data4 0xC9539FDF,0xFC8F4D48,0x00003FE1,0x00000000 | |
214 | data4 0x00007A45,0x3F748988,0x3D3BA322,0x00000000 | |
215 | data4 0x954665C2,0x9CD035FB,0x0000BFE1,0x00000000 | |
216 | data4 0x000079D1,0x3F73A0D0,0x3D4AE46F,0x00000000 | |
217 | data4 0xDD367A30,0xEC9017C7,0x00003FE1,0x00000000 | |
218 | data4 0x0000795D,0x3F72B9D0,0x3D5A1756,0x00000000 | |
219 | data4 0xCB11189C,0xEE6625D3,0x0000BFE1,0x00000000 | |
220 | data4 0x000078EB,0x3F71D488,0x3D693B9D,0x00000000 | |
221 | data4 0xBE11C424,0xA49C8DB5,0x0000BFE0,0x00000000 | |
d5efd131 MF |
222 | LOCAL_OBJECT_END(Constants_Tgammal_log_80_Z_G_H_h2) |
223 | ||
224 | .align 64 | |
225 | LOCAL_OBJECT_START(Constants_Tgammal_log_80_h3_G_H) | |
0347518d MF |
226 | // h3 IEEE double extended, H3 and G3 IEEE single |
227 | data4 0x112666B0,0xAAACAAB1,0x00003FD3,0x3F7FFC00 | |
d5efd131 | 228 | data4 0x9B7FAD21,0x90051030,0x00003FD8,0x3F7FF400 |
0347518d MF |
229 | data4 0xF4D783C4,0xA6B46F46,0x00003FDA,0x3F7FEC00 |
230 | data4 0x11C6DDCA,0xDA148D88,0x0000BFD8,0x3F7FE400 | |
d5efd131 | 231 | data4 0xCA964D95,0xCE65C1D8,0x0000BFD8,0x3F7FDC00 |
0347518d MF |
232 | data4 0x23412D13,0x883838EE,0x0000BFDB,0x3F7FD400 |
233 | data4 0x983ED687,0xB7E5CFA1,0x00003FDB,0x3F7FCC08 | |
234 | data4 0xE3C3930B,0xDBE23B16,0x0000BFD9,0x3F7FC408 | |
235 | data4 0x48AA4DFC,0x9B92F1FC,0x0000BFDC,0x3F7FBC10 | |
236 | data4 0xCE9C8F7E,0x9A8CEB15,0x0000BFD9,0x3F7FB410 | |
237 | data4 0x0DECE74A,0x8C220879,0x00003FDC,0x3F7FAC18 | |
d5efd131 | 238 | data4 0x2F053150,0xB25CA912,0x0000BFDA,0x3F7FA420 |
0347518d MF |
239 | data4 0xD9A5BE20,0xA5876555,0x00003FDB,0x3F7F9C20 |
240 | data4 0x2053F087,0xC919BB6E,0x00003FD9,0x3F7F9428 | |
241 | data4 0x041E9A77,0xB70BDA79,0x00003FDC,0x3F7F8C30 | |
242 | data4 0xEA1C9C30,0xF18A5C08,0x00003FDA,0x3F7F8438 | |
243 | data4 0x796D89E5,0xA3790D84,0x0000BFDD,0x3F7F7C40 | |
244 | data4 0xA2915A3A,0xE1852369,0x0000BFDD,0x3F7F7448 | |
245 | data4 0xA39ED868,0xD803858F,0x00003FDC,0x3F7F6C50 | |
246 | data4 0x9417EBB7,0xB2EEE356,0x0000BFDD,0x3F7F6458 | |
247 | data4 0x9BB0D07F,0xED5C1F8A,0x0000BFDC,0x3F7F5C68 | |
248 | data4 0xE87C740A,0xD6D201A0,0x0000BFDD,0x3F7F5470 | |
249 | data4 0x1CA74025,0xE8DEBF5E,0x00003FDC,0x3F7F4C78 | |
d5efd131 | 250 | data4 0x1F34A7EB,0x9A995A97,0x0000BFDC,0x3F7F4488 |
0347518d MF |
251 | data4 0x359EED97,0x9CB0F742,0x0000BFDA,0x3F7F3C90 |
252 | data4 0xBBC6A1C8,0xD6F833C2,0x0000BFDD,0x3F7F34A0 | |
253 | data4 0xE71090EC,0xE1F68F2A,0x00003FDC,0x3F7F2CA8 | |
254 | data4 0xC160A74F,0xD1881CF1,0x0000BFDB,0x3F7F24B8 | |
255 | data4 0xD78CB5A4,0x9AD05AE2,0x00003FD6,0x3F7F1CC8 | |
256 | data4 0x9A77DC4B,0xE658CB8E,0x0000BFDD,0x3F7F14D8 | |
257 | data4 0x6BD6D312,0xBA281296,0x00003FDC,0x3F7F0CE0 | |
258 | data4 0xF95210D0,0xB478BBEB,0x0000BFDB,0x3F7F04F0 | |
259 | data4 0x38800100,0x39400480,0x39A00640,0x39E00C41 // H's start here | |
260 | data4 0x3A100A21,0x3A300F22,0x3A4FF51C,0x3A6FFC1D | |
d5efd131 | 261 | data4 0x3A87F20B,0x3A97F68B,0x3AA7EB86,0x3AB7E101 |
0347518d MF |
262 | data4 0x3AC7E701,0x3AD7DD7B,0x3AE7D474,0x3AF7CBED |
263 | data4 0x3B03E1F3,0x3B0BDE2F,0x3B13DAAA,0x3B1BD766 | |
264 | data4 0x3B23CC5C,0x3B2BC997,0x3B33C711,0x3B3BBCC6 | |
265 | data4 0x3B43BAC0,0x3B4BB0F4,0x3B53AF6D,0x3B5BA620 | |
266 | data4 0x3B639D12,0x3B6B9444,0x3B7393BC,0x3B7B8B6D | |
d5efd131 MF |
267 | LOCAL_OBJECT_END(Constants_Tgammal_log_80_h3_G_H) |
268 | ||
0347518d | 269 | .align 64 |
d5efd131 MF |
270 | LOCAL_OBJECT_START(Constants_Tgammal_stirling) |
271 | //0.5*ln(2*Pi)=9.1893853320467266954096885e-01 + 7.2239360881843238220057778e-17 | |
272 | data8 0x3FED67F1C864BEB4, 0x3C94D252F2400510 | |
0347518d | 273 | // Bernulli numbers |
d5efd131 MF |
274 | data8 0xAAAAAAAAAAAAAAAB, 0x00003FFB //B2 = 8.3333333333333333333333333333e-02 |
275 | data8 0xBF66C16C16C16C17 //B4 = -2.7777777777777777777777777778e-03 | |
276 | data8 0x3F4A01A01A01A01A //B6 = 7.9365079365079365079365079365e-04 | |
277 | data8 0xBF43813813813814 //B8 = -5.9523809523809523809523809524e-04 | |
278 | data8 0x3F4B951E2B18FF23 //B10 = 8.4175084175084175084175084175e-04 | |
279 | data8 0xBF5F6AB0D9993C7D //B12 = -1.9175269175269175269175269175e-03 | |
280 | data8 0x3F7A41A41A41A41A //B14 = 6.4102564102564102564102564103e-03 | |
281 | data8 0xBF9E4286CB0F5398 //B16 = -2.9550653594771241830065359477e-02 | |
282 | data8 0x3FC6FE96381E0680 //B18 = 1.7964437236883057316493849002e-01 | |
283 | data8 0x3FE0000000000000 // 0.5 | |
284 | LOCAL_OBJECT_END(Constants_Tgammal_stirling) | |
285 | ||
0347518d | 286 | .align 64 |
d5efd131 | 287 | LOCAL_OBJECT_START(Constants_Tgammal_sin) |
0347518d | 288 | // Polynomial coefficients for the sin(Pi*x)/Pi, 0 <= |x| < 0.5 |
d5efd131 MF |
289 | //A2 = 8.1174242528335360802316245099e-01 + 5.1302254650266899774269946201e-18 |
290 | data8 0x3FE9F9CB402BC46C, 0x3C57A8B3819B7CEC | |
291 | //A1 = -1.6449340668482264060656916627e+00 + -3.0210280454695477893051351574e-17 | |
292 | data8 0xBFFA51A6625307D3, 0xBC816A402079D0EF | |
293 | data8 0xF3AEF1FFCCE6C813, 0x0000BFE3 //A9 = -7.0921197799923779127089910470e-09 | |
294 | data8 0x87D54408E6D4BB9D, 0x00003FE9 //A8 = 2.5300880778252693946712766029e-07 | |
295 | data8 0xEA12033DCE7B8ED9, 0x0000BFED //A7 = -6.9758403885461690048189307819e-06 | |
296 | data8 0x9BA38C952A59D1A8, 0x00003FF2 //A6 = 1.4842878710882320255092707181e-04 | |
297 | data8 0x99C0B55178FF0E38, 0x0000BFF6 //A5 = -2.3460810348048124421268761990e-03 | |
298 | data8 0xD63402E798FEC896, 0x00003FF9 //A4 = 2.6147847817611456327417812320e-02 | |
299 | data8 0xC354723906D95E92, 0x0000BFFC //A3 = -1.9075182412208257558294507774e-01 | |
300 | LOCAL_OBJECT_END(Constants_Tgammal_sin) | |
301 | ||
0347518d | 302 | .align 64 |
d5efd131 MF |
303 | LOCAL_OBJECT_START(Constants_Tgammal_exp_64_Arg) |
304 | data4 0x00000000,0xB17217F4,0x00003FF2,0x00000000 // L_hi = hi part log(2)/2^12 | |
305 | data4 0xF278ECE6,0xF473DE6A,0x00003FD4,0x00000000 // L_lo = lo part log(2)/2^12 | |
306 | LOCAL_OBJECT_END(Constants_Tgammal_exp_64_Arg) | |
307 | ||
308 | LOCAL_OBJECT_START(Constants_Tgammal_exp_64_A) | |
309 | data4 0xB1B736A0,0xAAAAAAAB,0x00003FFA,0x00000000 // A3 | |
310 | data4 0x90CD6327,0xAAAAAAAB,0x00003FFC,0x00000000 // A2 | |
311 | data4 0xFFFFFFFF,0xFFFFFFFF,0x00003FFD,0x00000000 // A1 | |
312 | LOCAL_OBJECT_END(Constants_Tgammal_exp_64_A) | |
313 | ||
314 | LOCAL_OBJECT_START(Constants_Tgammal_exp_64_T1) | |
0347518d MF |
315 | data4 0x3F800000,0x3F8164D2,0x3F82CD87,0x3F843A29 |
316 | data4 0x3F85AAC3,0x3F871F62,0x3F88980F,0x3F8A14D5 | |
d5efd131 MF |
317 | data4 0x3F8B95C2,0x3F8D1ADF,0x3F8EA43A,0x3F9031DC |
318 | data4 0x3F91C3D3,0x3F935A2B,0x3F94F4F0,0x3F96942D | |
319 | data4 0x3F9837F0,0x3F99E046,0x3F9B8D3A,0x3F9D3EDA | |
320 | data4 0x3F9EF532,0x3FA0B051,0x3FA27043,0x3FA43516 | |
321 | data4 0x3FA5FED7,0x3FA7CD94,0x3FA9A15B,0x3FAB7A3A | |
322 | data4 0x3FAD583F,0x3FAF3B79,0x3FB123F6,0x3FB311C4 | |
323 | data4 0x3FB504F3,0x3FB6FD92,0x3FB8FBAF,0x3FBAFF5B | |
324 | data4 0x3FBD08A4,0x3FBF179A,0x3FC12C4D,0x3FC346CD | |
325 | data4 0x3FC5672A,0x3FC78D75,0x3FC9B9BE,0x3FCBEC15 | |
326 | data4 0x3FCE248C,0x3FD06334,0x3FD2A81E,0x3FD4F35B | |
327 | data4 0x3FD744FD,0x3FD99D16,0x3FDBFBB8,0x3FDE60F5 | |
328 | data4 0x3FE0CCDF,0x3FE33F89,0x3FE5B907,0x3FE8396A | |
329 | data4 0x3FEAC0C7,0x3FED4F30,0x3FEFE4BA,0x3FF28177 | |
330 | data4 0x3FF5257D,0x3FF7D0DF,0x3FFA83B3,0x3FFD3E0C | |
331 | LOCAL_OBJECT_END(Constants_Tgammal_exp_64_T1) | |
332 | ||
333 | LOCAL_OBJECT_START(Constants_Tgammal_exp_64_T2) | |
0347518d MF |
334 | data4 0x3F800000,0x3F80058C,0x3F800B18,0x3F8010A4 |
335 | data4 0x3F801630,0x3F801BBD,0x3F80214A,0x3F8026D7 | |
336 | data4 0x3F802C64,0x3F8031F2,0x3F803780,0x3F803D0E | |
337 | data4 0x3F80429C,0x3F80482B,0x3F804DB9,0x3F805349 | |
338 | data4 0x3F8058D8,0x3F805E67,0x3F8063F7,0x3F806987 | |
339 | data4 0x3F806F17,0x3F8074A8,0x3F807A39,0x3F807FCA | |
340 | data4 0x3F80855B,0x3F808AEC,0x3F80907E,0x3F809610 | |
341 | data4 0x3F809BA2,0x3F80A135,0x3F80A6C7,0x3F80AC5A | |
342 | data4 0x3F80B1ED,0x3F80B781,0x3F80BD14,0x3F80C2A8 | |
343 | data4 0x3F80C83C,0x3F80CDD1,0x3F80D365,0x3F80D8FA | |
344 | data4 0x3F80DE8F,0x3F80E425,0x3F80E9BA,0x3F80EF50 | |
345 | data4 0x3F80F4E6,0x3F80FA7C,0x3F810013,0x3F8105AA | |
346 | data4 0x3F810B41,0x3F8110D8,0x3F81166F,0x3F811C07 | |
347 | data4 0x3F81219F,0x3F812737,0x3F812CD0,0x3F813269 | |
348 | data4 0x3F813802,0x3F813D9B,0x3F814334,0x3F8148CE | |
d5efd131 MF |
349 | data4 0x3F814E68,0x3F815402,0x3F81599C,0x3F815F37 |
350 | LOCAL_OBJECT_END(Constants_Tgammal_exp_64_T2) | |
351 | ||
352 | LOCAL_OBJECT_START(Constants_Tgammal_exp_64_W1) | |
353 | data8 0x0000000000000000, 0xBE384454171EC4B4 | |
354 | data8 0xBE6947414AA72766, 0xBE5D32B6D42518F8 | |
355 | data8 0x3E68D96D3A319149, 0xBE68F4DA62415F36 | |
356 | data8 0xBE6DDA2FC9C86A3B, 0x3E6B2E50F49228FE | |
357 | data8 0xBE49C0C21188B886, 0x3E64BFC21A4C2F1F | |
358 | data8 0xBE6A2FBB2CB98B54, 0x3E5DC5DE9A55D329 | |
359 | data8 0x3E69649039A7AACE, 0x3E54728B5C66DBA5 | |
360 | data8 0xBE62B0DBBA1C7D7D, 0x3E576E0409F1AF5F | |
361 | data8 0x3E6125001A0DD6A1, 0xBE66A419795FBDEF | |
362 | data8 0xBE5CDE8CE1BD41FC, 0xBE621376EA54964F | |
363 | data8 0x3E6370BE476E76EE, 0x3E390D1A3427EB92 | |
364 | data8 0x3E1336DE2BF82BF8, 0xBE5FF1CBD0F7BD9E | |
365 | data8 0xBE60A3550CEB09DD, 0xBE5CA37E0980F30D | |
366 | data8 0xBE5C541B4C082D25, 0xBE5BBECA3B467D29 | |
367 | data8 0xBE400D8AB9D946C5, 0xBE5E2A0807ED374A | |
368 | data8 0xBE66CB28365C8B0A, 0x3E3AAD5BD3403BCA | |
369 | data8 0x3E526055C7EA21E0, 0xBE442C75E72880D6 | |
370 | data8 0x3E58B2BB85222A43, 0xBE5AAB79522C42BF | |
371 | data8 0xBE605CB4469DC2BC, 0xBE589FA7A48C40DC | |
372 | data8 0xBE51C2141AA42614, 0xBE48D087C37293F4 | |
373 | data8 0x3E367A1CA2D673E0, 0xBE51BEBB114F7A38 | |
374 | data8 0xBE6348E5661A4B48, 0xBDF526431D3B9962 | |
375 | data8 0x3E3A3B5E35A78A53, 0xBE46C46C1CECD788 | |
376 | data8 0xBE60B7EC7857D689, 0xBE594D3DD14F1AD7 | |
377 | data8 0xBE4F9C304C9A8F60, 0xBE52187302DFF9D2 | |
378 | data8 0xBE5E4C8855E6D68F, 0xBE62140F667F3DC4 | |
379 | data8 0xBE36961B3BF88747, 0x3E602861C96EC6AA | |
380 | data8 0xBE3B5151D57FD718, 0x3E561CD0FC4A627B | |
381 | data8 0xBE3A5217CA913FEA, 0x3E40A3CC9A5D193A | |
382 | data8 0xBE5AB71310A9C312, 0x3E4FDADBC5F57719 | |
383 | data8 0x3E361428DBDF59D5, 0x3E5DB5DB61B4180D | |
384 | data8 0xBE42AD5F7408D856, 0x3E2A314831B2B707 | |
385 | LOCAL_OBJECT_END(Constants_Tgammal_exp_64_W1) | |
386 | ||
387 | LOCAL_OBJECT_START(Constants_Tgammal_exp_64_W2) | |
388 | data8 0x0000000000000000, 0xBE641F2537A3D7A2 | |
389 | data8 0xBE68DD57AD028C40, 0xBE5C77D8F212B1B6 | |
390 | data8 0x3E57878F1BA5B070, 0xBE55A36A2ECAE6FE | |
391 | data8 0xBE620608569DFA3B, 0xBE53B50EA6D300A3 | |
392 | data8 0x3E5B5EF2223F8F2C, 0xBE56A0D9D6DE0DF4 | |
393 | data8 0xBE64EEF3EAE28F51, 0xBE5E5AE2367EA80B | |
394 | data8 0x3E47CB1A5FCBC02D, 0xBE656BA09BDAFEB7 | |
395 | data8 0x3E6E70C6805AFEE7, 0xBE6E0509A3415EBA | |
396 | data8 0xBE56856B49BFF529, 0x3E66DD3300508651 | |
397 | data8 0x3E51165FC114BC13, 0x3E53333DC453290F | |
398 | data8 0x3E6A072B05539FDA, 0xBE47CD877C0A7696 | |
399 | data8 0xBE668BF4EB05C6D9, 0xBE67C3E36AE86C93 | |
400 | data8 0xBE533904D0B3E84B, 0x3E63E8D9556B53CE | |
401 | data8 0x3E212C8963A98DC8, 0xBE33138F032A7A22 | |
402 | data8 0x3E530FA9BC584008, 0xBE6ADF82CCB93C97 | |
403 | data8 0x3E5F91138370EA39, 0x3E5443A4FB6A05D8 | |
404 | data8 0x3E63DACD181FEE7A, 0xBE62B29DF0F67DEC | |
405 | data8 0x3E65C4833DDE6307, 0x3E5BF030D40A24C1 | |
406 | data8 0x3E658B8F14E437BE, 0xBE631C29ED98B6C7 | |
407 | data8 0x3E6335D204CF7C71, 0x3E529EEDE954A79D | |
408 | data8 0x3E5D9257F64A2FB8, 0xBE6BED1B854ED06C | |
409 | data8 0x3E5096F6D71405CB, 0xBE3D4893ACB9FDF5 | |
410 | data8 0xBDFEB15801B68349, 0x3E628D35C6A463B9 | |
411 | data8 0xBE559725ADE45917, 0xBE68C29C042FC476 | |
412 | data8 0xBE67593B01E511FA, 0xBE4A4313398801ED | |
413 | data8 0x3E699571DA7C3300, 0x3E5349BE08062A9E | |
414 | data8 0x3E5229C4755BB28E, 0x3E67E42677A1F80D | |
415 | data8 0xBE52B33F6B69C352, 0xBE6B3550084DA57F | |
416 | data8 0xBE6DB03FD1D09A20, 0xBE60CBC42161B2C1 | |
417 | data8 0x3E56ED9C78A2B771, 0xBE508E319D0FA795 | |
418 | data8 0xBE59482AFD1A54E9, 0xBE2A17CEB07FD23E | |
419 | data8 0x3E68BF5C17365712, 0x3E3956F9B3785569 | |
420 | LOCAL_OBJECT_END(Constants_Tgammal_exp_64_W2) | |
421 | ||
422 | ||
423 | ||
424 | LOCAL_OBJECT_START(Constants_Tgammal_poly) | |
425 | ||
0347518d | 426 | // Polynomial coefficients for the tgammal(x), 2 <= |x| < 3 |
d5efd131 MF |
427 | //A5 = 2.8360780594841213109180699803e-02 + 2.2504152891014320704380000000e-19 |
428 | data8 0x3F9D0A9BC49353D2, 0x3C109AEA0F23CE2D | |
429 | //A4 = 1.0967323400216015538699565468e-01 + 9.9225166000430644587276000000e-18 | |
430 | data8 0x3FBC138B89492C5B, 0x3C66E138506D5652 | |
431 | //A3 = 2.5387124684114281691904579930e-01 + 2.2667777637607113205546600000e-17 | |
432 | data8 0x3FD03F6D2FA4F4F8, 0x3C7A2258DA8CD8B1 | |
433 | data8 0xC5866457328BC39B, 0x00003FE3 //A20 = 5.7487331964156762795056629138e-09 | |
434 | data8 0xE93D9F1ACD59C929, 0x0000BFE4 //A19= -1.3576396100397317396956445658e-08 | |
435 | data8 0xE33389C8F6CBA813, 0x00003FE5 //A18 = 2.6449714924964597501721434271e-08 | |
436 | data8 0x8FE7B25B9CD26D2A, 0x0000BFE7 //A17= -6.7011017946055513660266853311e-08 | |
437 | data8 0xB89F4721BFBC15B0, 0x00003FE8 //A16 = 1.7194280320370423615174419192e-07 | |
438 | data8 0xE49CBDC1874EBABA, 0x0000BFE9 //A15= -4.2582353660153782928729466776e-07 | |
439 | data8 0x913AF50A336129CA, 0x00003FEB //A14 = 1.0820500665257088283172211622e-06 | |
440 | data8 0xABCF0F7313B3B332, 0x0000BFEC //A13= -2.5601510627710417669568115706e-06 | |
441 | //A2 = 6.5455857798133676439533701341e-01 + 1.3292075193155190798867000000e-18 | |
442 | data8 0x3FE4F224D4B7E01C, 0x3C3885014A2B8319 | |
443 | //A1 = 9.3473452162608550164435428087e-01 + 3.2785154201417136611642400000e-17 | |
444 | data8 0x3FEDE9585F1A7093, 0x3C82E63C1B5028BF | |
445 | //A0 = 1.3293403881791368004172682049e+00 + 2.2005689328949279282607500000e-16 | |
446 | data8 0x3FF544FA6D47B38F, 0x3CAFB6AA9829E81F | |
447 | data8 0xF3668F799997C76D, 0x00003FED //A12 = 7.2539039479124273660331538367e-06 | |
448 | data8 0xD6C6BBD54CDEAEB1, 0x0000BFEE //A11= -1.2801665282681088568639378920e-05 | |
449 | data8 0x809E4763B06F6883, 0x00003FF1 //A10 = 6.1329973609906572700697893187e-05 | |
450 | data8 0x8443B000F8F9A71A, 0x00003FED //A9 = 3.9417864189995544394564413428e-06 | |
451 | data8 0xC5C7E6D62A6991D8, 0x00003FF4 //A8 = 7.5447412886334708803357581519e-04 | |
452 | data8 0xD2AF690725C62D88, 0x00003FF5 //A7 = 1.6074004848394703022110823298e-03 | |
453 | data8 0xAA44E635D4B7B682, 0x00003FF8 //A6 = 1.0392403425906843901680697839e-02 | |
454 | // | |
0347518d | 455 | // Polynomial coefficients for the tgammal(x), 4 <= |x| < 5 |
d5efd131 MF |
456 | //A5 = 1.1600674810589555185913468449e+00 + 3.0229979112715124660731000000e-17 |
457 | data8 0x3FF28FA2EB44D22E, 0x3C816D285234C815 | |
458 | //A4 = 3.1374268565470946334983182169e+00 + 1.3694868953995008497659600000e-16 | |
459 | data8 0x400919734073B1E1, 0x3CA3BC83CD7E9565 | |
460 | //A3 = 7.0834593993741057360580271052e+00 + 3.3899702569039156457249800000e-16 | |
461 | data8 0x401C5576617B6C1F, 0x3CB86D6431213296 | |
462 | data8 0xA4A5FB49C094966B, 0x00003FDA //A20 = 9.3591760106637809309720130828e-12 | |
463 | data8 0xA9260DA0F51D7ED8, 0x00003FDD //A19 = 7.6919898428091669411809372180e-11 | |
464 | data8 0xA16441DFB14BD6E1, 0x00003FE0 //A18 = 5.8713933014370867331213494535e-10 | |
465 | data8 0x95F098D9C2234849, 0x00003FE3 //A17 = 4.3638234584169302324461091035e-09 | |
466 | data8 0x8581817400E5AD2B, 0x00003FE6 //A16 = 3.1084260332429955234755367839e-08 | |
467 | data8 0xE272940E373EBE15, 0x00003FE8 //A15 = 2.1089573544273993580820317236e-07 | |
468 | data8 0xB6B3391145D226FB, 0x00003FEB //A14 = 1.3612217421122787182942706259e-06 | |
469 | data8 0x8B9428C4DF95FCD5, 0x00003FEE //A13 = 8.3195416382628990683949003789e-06 | |
470 | //A2 = 1.2665135075272345943631080445e+01 + 9.8721896915973874255877000000e-16 | |
471 | data8 0x4029548C95A76F38, 0x3CD1C8BE715B8E13 | |
472 | //A1 = 1.6154969393303069580269948347e+01 + 9.6850518810678379641029000000e-16 | |
473 | data8 0x403027AC12FC1E1E, 0x3CD172711C15501B | |
474 | //A0 = 1.1631728396567448058362970187e+01 + 8.7078125362814179268673000000e-16 | |
475 | data8 0x40274371E7866C65, 0x3CCF5F8A1A5FACA0 | |
476 | data8 0xC94A903114272C03, 0x00003FF0 //A12 = 4.7991576836334427243159066630e-05 | |
477 | data8 0x8844262960E04BE6, 0x00003FF3 //A11 = 2.5990716419283017929486175141e-04 | |
478 | data8 0xAC5418A76767678D, 0x00003FF5 //A10 = 1.3147621245497801180184809726e-03 | |
479 | data8 0xCA231B6EFE959132, 0x00003FF7 //A9 = 6.1687358811367989146517222415e-03 | |
480 | data8 0xDA38E39C13819D2A, 0x00003FF9 //A8 = 2.6638454961912040754759086920e-02 | |
481 | data8 0xD696DF8D8389FE53, 0x00003FFB //A7 = 1.0477995539298934056097943975e-01 | |
482 | data8 0xBDD5C153048BC435, 0x00003FFD //A6 = 3.7077144754791605130056406006e-01 | |
483 | // | |
0347518d | 484 | // Polynomial coefficients for the tgammal(x), 6 <= |x| < 7 |
d5efd131 MF |
485 | //A5 = 6.7169398121054200601065531373e+01 + 2.9481001527213915901489600000e-15 |
486 | data8 0x4050CAD76B377BA0, 0x3CEA8DDB2B2DE93E | |
487 | //A4 = 1.6115104376855398982115730178e+02 + 1.3422421925418824418257300000e-14 | |
488 | data8 0x406424D559BDC687, 0x3D0E397FDB5B33DC | |
489 | //A3 = 3.1812194028053562533386866562e+02 + 3.9881709875858650942409600000e-14 | |
490 | data8 0x4073E1F377A6CF73, 0x3D26738F63FE9C4C | |
491 | data8 0xD6E1B5FF90CAABD3, 0x00003FE1 //A20 = 1.5634700199277480081025480635e-09 | |
492 | data8 0xD451987B925DD37E, 0x00003FE4 //A19 = 1.2358576813211397717382327174e-08 | |
493 | data8 0xBFC151B67FA58E6B, 0x00003FE7 //A18 = 8.9292951435632759686382657901e-08 | |
494 | data8 0xA9034C5E1D67572E, 0x00003FEA //A17 = 6.2962205718327848327368724720e-07 | |
495 | data8 0x8E40F6EAA30A71EC, 0x00003FED //A16 = 4.2394926442967995119170095258e-06 | |
496 | data8 0xE3C3541B03A1C350, 0x00003FEF //A15 = 2.7151465666109594512258841637e-05 | |
497 | data8 0xACE2E58436B2DDCE, 0x00003FF2 //A14 = 1.6487723793339152877117376243e-04 | |
498 | data8 0xF7EAF8D8D1CAA3D1, 0x00003FF4 //A13 = 9.4573158112768812533636022369e-04 | |
499 | //A2 = 4.8664351544258869353143381886e+02 + 4.7424047995944376868895400000e-14 | |
500 | data8 0x407E6A4BD6D9463B, 0x3D2AB2868D79E192 | |
501 | //A1 = 5.1615277644992545447166776285e+02 + 3.0901956935588717379242200000e-14 | |
502 | data8 0x40802138E2DC003B, 0x3D216570FB601AEA | |
503 | //A0 = 2.8788527781504433278314536437e+02 + 2.8213174117085164944959600000e-14 | |
504 | data8 0x4071FE2A1911F7D6, 0x3D1FC3E4CF4DB5AF | |
505 | data8 0xA72B88E48D3D1BAB, 0x00003FF7 //A12 = 5.1016252919939028020562237471e-03 | |
506 | data8 0xD2EFB1067DB4FFB2, 0x00003FF9 //A11 = 2.5749059441230515023024615917e-02 | |
507 | data8 0xF788AF9522205C24, 0x00003FFB //A10 = 1.2086617635601742290221382521e-01 | |
508 | data8 0x861A6CE06CB29EAF, 0x00003FFE //A9 = 5.2384071807018493367136112163e-01 | |
509 | data8 0x84FBDE0947718B58, 0x00004000 //A8 = 2.0778727617851237754568261869e+00 | |
510 | data8 0xEEC1371E265A2C3A, 0x00004001 //A7 = 7.4610858525146049022238037342e+00 | |
511 | data8 0xBF514B9BE68ED59D, 0x00004003 //A6 = 2.3914694993947572859629197920e+01 | |
512 | // | |
0347518d | 513 | // Polynomial coefficients for the tgammal(x), 8 <= |x| < 9 |
d5efd131 MF |
514 | //A5 = 5.8487447114416836484451778233e+03 + 4.7365465221455983144182900000e-13 |
515 | data8 0x40B6D8BEA568B6FD, 0x3D60AA4D44C2589B | |
516 | //A4 = 1.2796464063087094473303295672e+04 + 1.2373341702514898266244200000e-12 | |
517 | data8 0x40C8FE3B666B532D, 0x3D75C4752C5B4783 | |
518 | //A3 = 2.2837606581322281272150576115e+04 + 2.6598064610627891398831000000e-13 | |
519 | data8 0x40D64D66D23A7764, 0x3D52B77B3A10EA5C | |
520 | data8 0xB23418F75B0BE22A, 0x00003FE9 //A20 = 3.3192989594206801808678663868e-07 | |
521 | data8 0xA984A7BC8B856ED2, 0x00003FEC //A19 = 2.5260177918662350066375115788e-06 | |
522 | data8 0x921A49729416372C, 0x00003FEF //A18 = 1.7416797068239475136398213598e-05 | |
523 | data8 0xF5BB9415CC399CA4, 0x00003FF1 //A17 = 1.1717449586392814601938207599e-04 | |
524 | data8 0xC50B91A40B81F9DF, 0x00003FF4 //A16 = 7.5166775151159345732094429036e-04 | |
525 | data8 0x96002572326DB203, 0x00003FF7 //A15 = 4.5776541559407384162139204300e-03 | |
526 | data8 0xD81A1A595E4157BA, 0x00003FF9 //A14 = 2.6379634345126284099420760736e-02 | |
527 | data8 0x92B700D0CFECADD8, 0x00003FFC //A13 = 1.4327622675407940907282658100e-01 | |
528 | //A2 = 3.1237895525940199149772524834e+04 + 3.1280450505163186432331700000e-12 | |
529 | data8 0x40DE8179504C0878, 0x3D8B83BB33FBB766 | |
530 | //A1 = 2.9192841741344487672904506326e+04 + 7.9300780509779689630767000000e-13 | |
531 | data8 0x40DC8235DF171691, 0x3D6BE6C780EE54DF | |
532 | //A0 = 1.4034407293483411194756627083e+04 + 1.4038139346291543309253700000e-12 | |
533 | data8 0x40CB693422315F90, 0x3D78B23746113FCE | |
534 | data8 0xBAE50807548BC711, 0x00003FFE //A12 = 7.3005724123917935346868107005e-01 | |
535 | data8 0xDE28B1F57E68CFB6, 0x00004000 //A11 = 3.4712338349724065462763671443e+00 | |
536 | data8 0xF4DCA5A5FF901118, 0x00004002 //A10 = 1.5303868912154033908205911714e+01 | |
537 | data8 0xF85AAA1AD5E84E5E, 0x00004004 //A9 = 6.2088539523416399361048051373e+01 | |
538 | data8 0xE5AA8BB1BF02934D, 0x00004006 //A8 = 2.2966619406617480799195651466e+02 | |
539 | data8 0xBF6CFEFD67F59845, 0x00004008 //A7 = 7.6570306334640770654588802417e+02 | |
540 | data8 0x8DB5D2F001635C29, 0x0000400A //A6 = 2.2673639984182571062068713002e+03 | |
541 | // | |
0347518d | 542 | // Polynomial coefficients for the tgammal(x), 10 <= |x| < 11 |
d5efd131 MF |
543 | //A5 = 7.2546009516580589115619659424e+05 + 1.0343348865365065212891728822e-10 |
544 | data8 0x412623A830B99290, 0x3DDC6E7C157611C4 | |
545 | //A4 = 1.4756292870840241666883230209e+06 + 8.1516565365333844166705674775e-11 | |
546 | data8 0x4136842D497E56AF, 0x3DD66837E4C3F9EE | |
547 | //A3 = 2.4356116926500420086085796356e+06 + 3.5508860076560925641351069404e-10 | |
548 | data8 0x4142950DD8A8C1AF, 0x3DF866C8E3DD0980 | |
549 | data8 0xB7FD0D1EEAC38EB4, 0x00003FF1 //A20 = 8.7732544640091602721643775932e-05 | |
550 | data8 0xA9345C64AC750AE9, 0x00003FF4 //A19 = 6.4546407626804942279126469603e-04 | |
551 | data8 0x8BEABC81BE1E93C9, 0x00003FF7 //A18 = 4.2699261134524096128048819443e-03 | |
552 | data8 0xE1CD281EDD7315F8, 0x00003FF9 //A17 = 2.7563646660310313164706189622e-02 | |
553 | data8 0xAD8A5BA6D0FD9758, 0x00003FFC //A16 = 1.6947310643831556048460963841e-01 | |
554 | data8 0xFCDDA464AD3F182E, 0x00003FFE //A15 = 9.8775699098518676937088606052e-01 | |
555 | data8 0xAE0DCE2F7B60D1AE, 0x00004001 //A14 = 5.4391852309591064073782104822e+00 | |
556 | data8 0xE1745D9ABEB8D1A7, 0x00004003 //A13 = 2.8181819161363002758615770457e+01 | |
557 | //A2 = 3.0619656223573554307222366333e+06 + 1.0819940302945474471259520006e-10 | |
558 | data8 0x41475C66CFA967E4, 0x3DDDBDDB2A27334B | |
559 | //A1 = 2.6099413018962685018777847290e+06 + 3.6851882860056025385268615240e-10 | |
560 | data8 0x4143E98AA6A48974, 0x3DF9530D42589AB6 | |
561 | //A0 = 1.1332783889487853739410638809e+06 + 1.9339350553312096248591829758e-10 | |
562 | data8 0x41314ADE639225C9, 0x3DEA946DD6C2C8D3 | |
563 | data8 0x88BCFAAE71812A1C, 0x00004006 //A12 = 1.3673820009490115307300592012e+02 | |
564 | data8 0x9A770F5AB540A326, 0x00004008 //A11 = 6.1786031215382040427126476507e+02 | |
565 | data8 0xA170C1D2C6B413FC, 0x0000400A //A10 = 2.5830473201524594051391525170e+03 | |
566 | data8 0x9AE56061CB02EB55, 0x0000400C //A9 = 9.9133441230507404119297200255e+03 | |
567 | data8 0x872390769650FBE2, 0x0000400E //A8 = 3.4595564309496661629764193479e+04 | |
568 | data8 0xD3E5E8D6923910C1, 0x0000400F //A7 = 1.0849181904819284819615140521e+05 | |
569 | data8 0x930D70602F50B754, 0x00004011 //A6 = 3.0116351174131169193070583741e+05 | |
570 | // | |
0347518d | 571 | // Polynomial coefficients for the tgammal(x), 12 <= |x| < 13 |
d5efd131 MF |
572 | //A5 = 1.2249876249976964294910430908e+08 + 6.0051348061679753770848000000e-09 |
573 | data8 0x419D34BB29FFC39D, 0x3E39CAB72E01818D | |
574 | //A4 = 2.3482765927605420351028442383e+08 + 1.1874729051592862323641700000e-08 | |
575 | data8 0x41ABFE5F168D56FA, 0x3E4980338AA7B04B | |
576 | //A3 = 3.6407329688125067949295043945e+08 + 2.6657200942150363994658700000e-08 | |
577 | data8 0x41B5B35150E199A5, 0x3E5C9F79C0EB5300 | |
578 | data8 0xE89AE0F8D726329D, 0x00003FF9 //A20 = 2.8394164465429105626588451540e-02 | |
579 | data8 0xCF90981F86E38013, 0x00003FFC //A19 = 2.0270002071785908652476845915e-01 | |
580 | data8 0xA56C658079CA8C4A, 0x00003FFF //A18 = 1.2923704984019263122675412350e+00 | |
581 | data8 0x80AEF96A67C5615A, 0x00004002 //A17 = 8.0427183300456238315262463506e+00 | |
582 | data8 0xBE886D7529678931, 0x00004004 //A16 = 4.7633230047847868242503413461e+01 | |
583 | data8 0x858EDBA4CE2F7508, 0x00004007 //A15 = 2.6711607799594541057655957154e+02 | |
584 | data8 0xB0B0A3AF388274F0, 0x00004009 //A14 = 1.4135199810126975119809102782e+03 | |
585 | data8 0xDBA87137988751EF, 0x0000400B //A13 = 7.0290552818218513870879313985e+03 | |
586 | //A2 = 4.2828433593031734228134155273e+08 + 3.9760422293645854535247300000e-08 | |
587 | data8 0x41B98719AFEE2947, 0x3E6558A17E0D3007 | |
588 | //A1 = 3.4008253676084774732589721680e+08 + 1.2558352335001093116071000000e-09 | |
589 | data8 0x41B4453F68C2C6EB, 0x3E159338C5BC7EC3 | |
590 | //A0 = 1.3684336546556583046913146973e+08 + 2.6786516700381562934240300000e-08 | |
591 | data8 0x41A05020CAEE5EA5, 0x3E5CC3058A858579 | |
592 | data8 0xFF5E3940FB4BA576, 0x0000400D //A12 = 3.2687111823895439312116108631e+04 | |
593 | data8 0x8A08C124C7F74B6C, 0x00004010 //A11 = 1.4134701786994123329786229006e+05 | |
594 | data8 0x89D701953540BFFB, 0x00004012 //A10 = 5.6459209892773907605385652281e+05 | |
595 | data8 0xFC46344B3116C3AD, 0x00004013 //A9 = 2.0666305367147234406757715163e+06 | |
596 | data8 0xD183EBD7A400151F, 0x00004015 //A8 = 6.8653979211730981618367536737e+06 | |
597 | data8 0x9C083A40742112F4, 0x00004017 //A7 = 2.0451444503543981795037456447e+07 | |
598 | data8 0xCD3C475B1A8B6662, 0x00004018 //A6 = 5.3801245423495149598177886823e+07 | |
599 | LOCAL_OBJECT_END(Constants_Tgammal_poly) | |
600 | ||
601 | ||
602 | LOCAL_OBJECT_START(Constants_Tgammal_poly_splitted) | |
603 | ||
0347518d | 604 | // Polynomial coefficients for the tgammal(x), 1 <= |x| < 1.25 |
d5efd131 MF |
605 | //A5 = -9.8199506890310417350775651357e-01+ -3.2546247786122976510752200000e-17 |
606 | data8 0xBFEF6C80EC38B509, 0xBC82C2FA7A3DE3BD | |
607 | //A4 = 9.8172808683439960475425323239e-01 + 4.4847611775298520359811400000e-17 | |
608 | data8 0x3FEF6A51055096B0, 0x3C89DA56DE95EFE4 | |
609 | //A3 = -9.0747907608088618225394839101e-01 +-1.0244057366544064435443970000e-16 | |
610 | data8 0xBFED0A118F324B62, 0xBC9D86C7B9EBCFFF | |
611 | data8 0xB8E3FDAA66CC738E, 0x00003FFB //A20 = 9.0278608095877488976217714815e-02 | |
612 | data8 0xA76067AE1738699C, 0x0000BFFD //A19 =-3.2690738678103132837070881737e-01 | |
613 | data8 0x9D66B13718408C44, 0x00003FFE //A18 = 6.1484820933424283818320582920e-01 | |
614 | data8 0xD4AC67BBB4AE5599, 0x0000BFFE //A17 =-8.3075569470082063491389474937e-01 | |
615 | data8 0xF1426ED1C1488DB3, 0x00003FFE //A16 = 9.4241993542644505594957058785e-01 | |
616 | data8 0xFC12EB07AA6F4B6B, 0x0000BFFE //A15 =-9.8466366707947121954333549690e-01 | |
617 | data8 0xFF2B32CFE5B0DDC8, 0x00003FFE //A14 = 9.9675290656677214804168895915e-01 | |
618 | data8 0xFFD8E7E6FF3662EA, 0x0000BFFE //A13 =-9.9940347089360552383472582319e-01 | |
619 | //A2 = 9.8905599532797250361682017683e-01 + 5.1760162410376024240867300000e-17 | |
620 | data8 0x3FEFA658C23B1578, 0x3C8DD673A61F6FE7 | |
621 | //A1 = -5.7721566490153275452712478000e-01+ -1.0607935612223465065923310000e-16 | |
622 | data8 0xBFE2788CFC6FB618, 0xBC9E9346622D53B7 | |
623 | //A0 = 9.9999999999999988897769753748e-01 + 1.1102230245372554544790880000e-16 | |
624 | data8 0x3FEFFFFFFFFFFFFF, 0x3C9FFFFFFFF51E4E | |
625 | data8 0xFFF360DF628F0BC9, 0x00003FFE //A12 = 9.9980740979895815468216470840e-01 | |
626 | data8 0xFFEF8F9A72B40480, 0x0000BFFE //A11 = -9.9974916001038145045939523470e-01 | |
627 | data8 0xFFE037B8C7E39952, 0x00003FFE //A10 = 9.9951504002809911822597567307e-01 | |
628 | data8 0xFFC01E08F348BED2, 0x0000BFFE //A9 = -9.9902522772325406705059517941e-01 | |
629 | data8 0xFF83DAC83119B52C, 0x00003FFE //A8 = 9.9810569179053383842734164901e-01 | |
630 | data8 0xFEF9F8AB891ABB24, 0x0000BFFE //A7 = -9.9600176036720260345608796766e-01 | |
631 | data8 0xFE3F0537573C8235, 0x00003FFE //A6 = 9.9314911461918778676646301341e-01 | |
632 | // | |
0347518d | 633 | // Polynomial coefficients for the tgammal(x), 1.25 <= |x| < 1.75 |
d5efd131 MF |
634 | //A5 = -7.7523052299853054125655660300e-02+ -1.2693512521686721504433600000e-17 |
635 | data8 0xBFB3D88CFE50601B, 0xBC6D44ED60EE2170 | |
636 | //A4 = 1.4464535904462152982041800442e-01 + 2.5426820829345729856648800000e-17 | |
637 | data8 0x3FC283BD374EB2A9, 0x3C7D50AC436187C3 | |
638 | //A3 = -1.0729480456477220873257039102e-01+ -6.2429894945456418196551000000e-18 | |
639 | data8 0xBFBB77AC1CA2EBA5, 0xBC5CCA6BCC422D41 | |
640 | data8 0xF732D2689F323283, 0x00003FF2 //A20 = 2.3574688251652899567587145422e-04 | |
641 | data8 0xB6B00E23DE89D13A, 0x0000BFF3 //A19 =-3.4844916488842618776630058875e-04 | |
642 | data8 0xE98396FE4A1B2799, 0x00003FF3 //A18 =4.4539265198744452020440735977e-04 | |
643 | data8 0xAF8D235A640DB1A2, 0x0000BFF4 //A17 =-6.6967514303333563295261178346e-04 | |
644 | data8 0x8513B736C918B261, 0x00003FF5 //A16 = 1.0152970456990865810615917715e-03 | |
645 | data8 0xC790A1A2C78D8E17, 0x0000BFF5 //A15 =-1.5225598630329403515321688394e-03 | |
646 | data8 0x959706CFA638CDE2, 0x00003FF6 //A14 = 2.2825614575133879623648932383e-03 | |
647 | data8 0xE050A6021E129860, 0x0000BFF6 //A13 =-3.4227757733947066666295285936e-03 | |
648 | //A2 = 4.1481345368830113695679528973e-01 + 3.1252439808354284892632100000e-17 | |
649 | data8 0x3FDA8C4DBA620D56, 0x3C82040BCB483C76 | |
650 | //A1 = 3.2338397448885010387886751460e-02 + 3.4437825798552300531443100000e-18 | |
651 | data8 0x3FA08EA88EE561B1, 0x3C4FC366D6C64806 | |
652 | //A0 = 8.8622692545275794095971377828e-01 + 7.2689375867553992399219000000e-17 | |
653 | data8 0x3FEC5BF891B4EF6A, 0x3C94F3877D311C0C | |
654 | data8 0xA8275AADC09D16FC, 0x00003FF7 //A12 = 5.1316445128621071486146117136e-03 | |
655 | data8 0xFBFE2CE9215267A2, 0x0000BFF7 //A11= -7.6902121820788373000579382408e-03 | |
656 | data8 0xBCC8EEAB67ECD91D, 0x00003FF8 //A10 = 1.1522515369164312742737727262e-02 | |
657 | data8 0x8D1614BB97E5E8C2, 0x0000BFF9 //A9 = -1.7222443097804730395560633583e-02 | |
658 | data8 0xD3A963578BE291E3, 0x00003FF9 //A8 = 2.5837606456090186343624210891e-02 | |
659 | data8 0x9BA7EAE64C42FDF7, 0x0000BFFA //A7 = -3.8001935555045161419575037512e-02 | |
660 | data8 0xF0115BA1A77607E7, 0x00003FFA //A6 = 5.8610303817173477119764956736e-02 | |
661 | // | |
0347518d | 662 | // Polynomial coefficients for the tgammal(x), 1.75 <= |x| < 2.0 |
d5efd131 MF |
663 | //A5 = 2.6698206874501426502654943818e-04 + 3.4033756836921062797887300000e-20 |
664 | data8 0x3F317F3740FE2A68, 0x3BE417093234B06E | |
665 | //A4 = 7.4249010753513894345090307070e-02 + 3.9810018444482764697014200000e-18 | |
666 | data8 0x3FB301FBB0F25A92, 0x3C525BEFFABB622F | |
667 | //A3 = -8.1576919247086265851720554565e-02+ -5.2716624487804746360745000000e-19 | |
668 | data8 0xBFB4E239984650AC, 0xBC2372F1C4F276FF | |
669 | data8 0xFEF3AEE71038E9A3, 0x00003FEB //A20 = 1.8995395865421509009969188571e-06 | |
670 | data8 0xA11CFA2672BF876A, 0x0000BFEB //A19 =-1.2003868221414015771269244270e-06 | |
671 | data8 0xF8E107215DAE2164, 0x00003FEC //A18 = 3.7085863210303833432006027217e-06 | |
672 | data8 0xBCDDD3FC011EF7D6, 0x00003FEC //A17 = 2.8143303971756051015245433043e-06 | |
673 | data8 0x8683C4687FA22E68, 0x00003FEE //A16 = 8.0177018464360416764308252462e-06 | |
674 | data8 0xFDA09E5D33E32968, 0x00003FEE //A15 = 1.5117372062443781157389064848e-05 | |
675 | data8 0xFFB00D0CFF4089B4, 0x00003FEF //A14 = 3.0480348961227424242198174995e-05 | |
676 | data8 0xFEF6C39566785085, 0x00003FF0 //A13 = 6.0788135974125244644334004947e-05 | |
677 | //A2 = 4.1184033042643969357854416558e-01 + 1.2103396182129232634761000000e-18 | |
678 | data8 0x3FDA5B978B96BEBF, 0x3C3653AAD0A139E4 | |
679 | //A1 = -4.2278433509846713445057275749e-01+ -4.9429151528135657430413000000e-18 | |
680 | data8 0xBFDB0EE6072093CE, 0xBC56CB907027554F | |
681 | //A0 = 1.0000000000000000000000000000e+00 + 1.0969171200000000000000000000e-31 | |
682 | data8 0x3FF0000000000000, 0x3981CC6A5B20B4D5 | |
683 | data8 0xFF2B7BA9A8D68C37, 0x00003FF1 //A12 = 1.2167446884801403650547161615e-04 | |
684 | data8 0xFCA53468E3692EF1, 0x00003FF2 //A11 = 2.4094136329542400976250900707e-04 | |
685 | data8 0x808D698A9C993615, 0x00003FF4 //A10 = 4.9038845704938303659791698883e-04 | |
686 | data8 0xF10F8E3FB8BB4AFB, 0x00003FF4 //A9 = 9.1957383840999861214472423976e-04 | |
687 | data8 0x89E224E42F93F005, 0x00003FF6 //A8 = 2.1039333407187324139473634747e-03 | |
688 | data8 0xBAF374824937A323, 0x00003FF6 //A7 = 2.8526458211545152218493600470e-03 | |
689 | data8 0xB6BF7564F52140C6, 0x00003FF8 //A6 = 1.1154045718131014476684982178e-02 | |
690 | // | |
0347518d | 691 | // Polynomial coefficients for the tgammal(x), 0.0 <= |x| < 0.125 |
d5efd131 MF |
692 | //A5 = -9.8199506890314514073736518185e-01+ -5.9363811993837985890950900000e-17 |
693 | data8 0xBFEF6C80EC38B67A, 0xBC911C46B447C81F | |
694 | //A4 = 9.8172808683440015986576554496e-01 + 2.7457414262802803699834200000e-17 | |
695 | data8 0x3FEF6A51055096B5, 0x3C7FA7FF90ACAD1F | |
696 | //A3 = -9.0747907608088618225394839101e-01 + -1.0676255850934306734701780000e-16 | |
697 | data8 0xBFED0A118F324B62, 0xBC9EC5AFB633438D | |
698 | data8 0x9217E83FA207CB80, 0x00003FFD //A20 = 2.8533864762086088781083621561e-01 | |
699 | data8 0xA8DABFA52FDF03EC, 0x0000BFFE //A19= -6.5958783896337186303285832783e-01 | |
700 | data8 0xE331ED293AF39F9B, 0x00003FFE //A18 = 8.8748056656454687449654731184e-01 | |
701 | data8 0xF9163C5DDB52419D, 0x0000BFFE //A17= -9.7299554149078295602977718525e-01 | |
702 | data8 0xFEC0A1C672CB9265, 0x00003FFE //A16 = 9.9512683005268190987854104489e-01 | |
703 | data8 0xFFD2D65B8EA7B5F4, 0x0000BFFE //A15= -9.9931087241443958201592847861e-01 | |
704 | data8 0xFFF93AA39EE53445, 0x00003FFE //A14 = 9.9989668364186884793382816496e-01 | |
705 | data8 0xFFFB99A9A3F5F480, 0x0000BFFE //A13= -9.9993286506283835663204999212e-01 | |
706 | //A2 = 9.8905599532797250361682017683e-01 + 5.1778575360788420716540100000e-17 | |
707 | data8 0x3FEFA658C23B1578, 0x3C8DD92B45408D07 | |
708 | //A1 = -5.7721566490153275452712478000e-01+ -1.0607938730998824663273110000e-16 | |
709 | data8 0xBFE2788CFC6FB618, 0xBC9E9346F8FDE55B | |
710 | //A0 = 9.9999999999999988897769753748e-01 + 1.1102230246251564036631420000e-16 | |
711 | data8 0x3FEFFFFFFFFFFFFF, 0x3C9FFFFFFFFFFFFF | |
712 | data8 0xFFF7FEBB545812C1, 0x00003FFE //A12 = 9.9987785409425126648628395084e-01 | |
713 | data8 0xFFF00C02E943A3F2, 0x0000BFFE //A11= -9.9975657530855116454438747397e-01 | |
714 | data8 0xFFE0420AADC53820, 0x00003FFE //A10 = 9.9951565514290485919027183699e-01 | |
715 | data8 0xFFC01EB42EF27EEB, 0x0000BFFE //A9 = -9.9902526759155739377365522320e-01 | |
716 | data8 0xFF83DAD0BF23FF12, 0x00003FFE //A8 = 9.9810569378236378800364235948e-01 | |
717 | data8 0xFEF9F8ABDBCDB2F3, 0x0000BFFE //A7 = -9.9600176044241699109053158187e-01 | |
718 | data8 0xFE3F05375988491D, 0x00003FFE //A6 = 9.9314911462127599008937257662e-01 | |
719 | LOCAL_OBJECT_END(Constants_Tgammal_poly_splitted) | |
720 | ||
721 | .align 64 | |
722 | LOCAL_OBJECT_START(Constants_Tgammal_common) | |
723 | // Positive overflow value | |
724 | data8 0x3FE0000000000000 // 0.5 | |
725 | data8 0x3FF8000000000000 // 1.5 | |
726 | data8 0x3FD0000000000000 // 0.25 | |
727 | data8 0x0000000000000000 // 0 | |
728 | data8 0xDB718C066B352E21, 0x00004009 // Positive overflow value | |
729 | LOCAL_OBJECT_END(Constants_Tgammal_common) | |
730 | ||
731 | ||
732 | ||
733 | //======================================================= | |
734 | // Lgamma registers | |
735 | ||
736 | // General Purpose Registers | |
737 | GR_l_Log_Table = r33 | |
738 | GR_l_Log_Table1 = r34 | |
739 | GR_l_BIAS = r34 | |
740 | GR_l_Index1 = r35 | |
741 | GR_l_Index2 = r36 | |
0347518d | 742 | GR_l_signif_Z = r37 |
d5efd131 MF |
743 | GR_l_X_0 = r38 |
744 | GR_l_X_1 = r39 | |
745 | GR_l_X_2 = r40 | |
746 | GR_l_Z_1 = r41 | |
747 | GR_l_Z_2 = r42 | |
748 | GR_l_N = r43 | |
749 | GR_l_Index3 = r44 | |
750 | GR_l_Stirling_Table = r45 | |
751 | GR_l_N_Unbiased = r46 | |
752 | ||
753 | // Floating Point Registers | |
754 | FR_l_logl_X = f8 | |
755 | ||
756 | FR_l_h_3 = f10 | |
757 | FR_l_poly_hi = f10 | |
758 | FR_l_W = f11 | |
759 | FR_l_S = f12 | |
760 | FR_l_GS_hi = f13 | |
761 | FR_l_Y_lo = f13 | |
762 | FR_l_r_cor = f14 | |
763 | FR_l_G_1 = f15 | |
764 | FR_l_G = f15 | |
765 | FR_l_H_1 = f32 | |
766 | FR_l_H = f32 | |
767 | FR_l_h = f33 | |
768 | FR_l_h_1 = f33 | |
769 | FR_l_N = f33 | |
770 | FR_l_G_2 = f34 | |
771 | FR_l_H_2 = f35 | |
772 | FR_l_h_2 = f36 | |
773 | FR_l_G_3 = f37 | |
774 | FR_l_log2_hi = f38 | |
775 | FR_l_GS_lo = f39 | |
776 | FR_l_H_3 = f40 | |
777 | FR_l_float_N = f41 | |
778 | FR_l_Q_4 = f42 | |
779 | FR_l_Q_3 = f43 | |
780 | FR_l_Q_2 = f44 | |
781 | FR_l_Q_1 = f45 | |
782 | FR_l_Q_5 = f46 | |
783 | FR_l_Q_6 = f47 | |
784 | FR_l_log2_lo = f48 | |
785 | FR_l_r = f49 | |
786 | FR_l_poly_lo = f50 | |
787 | FR_l_poly = f51 | |
788 | FR_l_rsq = f52 | |
789 | FR_l_Y_lo_res = f53 | |
790 | ||
0347518d MF |
791 | FR_l_Y0 = f55 |
792 | FR_l_Q0 = f56 | |
793 | FR_l_E0 = f57 | |
794 | FR_l_E2 = f58 | |
795 | FR_l_E1 = f59 | |
796 | FR_l_Y1 = f60 | |
797 | FR_l_E3 = f61 | |
798 | FR_l_Y2 = f62 | |
799 | ||
800 | FR_l_Z = f63 | |
801 | FR_l_Z2 = f64 | |
802 | FR_l_Z4 = f65 | |
803 | FR_l_Z8 = f66 | |
804 | ||
805 | FR_l_CH = f67 | |
806 | FR_l_CL = f68 | |
807 | ||
808 | FR_l_B2 = f69 | |
809 | FR_l_B4 = f70 | |
810 | FR_l_B6 = f71 | |
811 | FR_l_B8 = f72 | |
812 | FR_l_B10 = f73 | |
813 | FR_l_B12 = f74 | |
814 | FR_l_B14 = f75 | |
815 | FR_l_B16 = f76 | |
816 | FR_l_B18 = f77 | |
817 | FR_l_Half = f78 | |
d5efd131 MF |
818 | FR_l_SS = f79 |
819 | FR_l_AbsX_m_Half = f80 | |
820 | FR_l_CXH = f81 | |
821 | FR_l_CXL = f82 | |
822 | FR_l_SSCXH = f83 | |
823 | FR_l_SSCXL = f84 | |
824 | FR_l_XYH = f85 | |
825 | FR_l_XYL = f86 | |
826 | FR_l_Temp = f87 | |
827 | ||
828 | FR_l_logl_YHi = f88 | |
829 | FR_l_logl_YLo = f89 | |
830 | ||
831 | FR_l_SignedXYH = f123 | |
832 | ||
833 | FR_l_AbsX = f127 | |
834 | ||
835 | ||
836 | ||
837 | //======================================================= | |
838 | // Negative part registers | |
839 | ||
840 | // General Purpose Registers | |
841 | GR_n_sin_Table = r47 | |
842 | GR_n_XN = r48 | |
843 | ||
844 | // Float point registers | |
845 | FR_n_IXNS = f125 | |
846 | FR_n_IXN = f126 | |
847 | ||
848 | FR_n_XNS = f90 | |
849 | FR_n_XS = f91 | |
850 | FR_n_XS2 = f92 | |
851 | FR_n_XS2L = f93 | |
852 | FR_n_XS4 = f94 | |
853 | FR_n_XS7 = f95 | |
854 | FR_n_XS8 = f96 | |
855 | FR_n_TT = f97 | |
856 | FR_n_TH = f98 | |
857 | FR_n_TL = f99 | |
858 | ||
0347518d MF |
859 | FR_n_A2H = f100 |
860 | FR_n_A2L = f101 | |
861 | FR_n_A1H = f102 | |
862 | FR_n_A1L = f103 | |
863 | FR_n_A9 = f104 | |
864 | FR_n_A8 = f105 | |
865 | FR_n_A7 = f106 | |
866 | FR_n_A6 = f107 | |
867 | FR_n_A5 = f108 | |
868 | FR_n_A4 = f109 | |
869 | FR_n_A3 = f110 | |
d5efd131 MF |
870 | |
871 | FR_n_PolyH = f111 | |
872 | FR_n_PolyL = f112 | |
873 | ||
874 | FR_n_Poly1H = f113 | |
875 | FR_n_SinxH = f113 // the same as FR_n_Poly1H | |
876 | FR_n_Poly1L = f114 | |
877 | FR_n_SinxL = f114 // the same as FR_n_Poly1L | |
878 | ||
879 | FR_n_Tail = f115 | |
880 | FR_n_NegOne = f116 | |
881 | ||
882 | FR_n_Y0 = f117 | |
883 | ||
0347518d MF |
884 | FR_n_Q0 = f118 |
885 | FR_n_E0 = f119 | |
886 | ||
887 | FR_n_E2 = f120 | |
888 | FR_n_E1 = f121 | |
889 | ||
890 | FR_n_Y1 = f55 | |
891 | FR_n_E3 = f56 | |
892 | ||
893 | FR_n_Y2 = f57 | |
894 | FR_n_R0 = f58 | |
d5efd131 MF |
895 | |
896 | FR_n_E4 = f59 | |
897 | FR_n_RcpResH = f60 | |
898 | ||
899 | FR_n_Y3 = f61 | |
900 | FR_n_R1 = f62 | |
901 | FR_n_Temp = f63 | |
902 | ||
903 | FR_n_RcpResL = f64 | |
904 | ||
905 | FR_n_ResH = f65 | |
906 | FR_n_ResL = f66 | |
907 | ||
908 | ||
909 | ||
910 | ||
911 | //======================================================= | |
912 | // Exp registers | |
913 | ||
914 | // General Purpose Registers | |
915 | GR_e_ad_Arg = r33 | |
916 | GR_e_ad_A = r34 | |
917 | GR_e_signexp_x = r35 | |
918 | GR_e_exp_x = r35 | |
919 | GR_e_exp_mask = r36 | |
920 | GR_e_ad_W1 = r37 | |
921 | GR_e_ad_W2 = r38 | |
922 | GR_e_M2 = r39 | |
923 | GR_e_M1 = r40 | |
924 | GR_e_K = r41 | |
925 | GR_e_exp_2_mk = r42 | |
926 | GR_e_exp_2_k = r43 | |
927 | GR_e_ad_T1 = r44 | |
928 | GR_e_ad_T2 = r45 | |
929 | GR_e_N_fix = r46 | |
930 | GR_e_one = r47 | |
931 | GR_e_exp_bias = r48 | |
932 | GR_e_sig_inv_ln2 = r49 | |
933 | GR_e_rshf_2to51 = r50 | |
934 | GR_e_exp_2tom51 = r51 | |
935 | GR_e_rshf = r52 | |
936 | ||
937 | // Floating Point Registers | |
938 | FR_e_RSHF_2TO51 = f10 | |
939 | FR_e_INV_LN2_2TO63 = f11 | |
940 | FR_e_W_2TO51_RSH = f12 | |
941 | FR_e_2TOM51 = f13 | |
942 | FR_e_RSHF = f14 | |
943 | FR_e_Y_hi = f15 | |
944 | FR_e_Y_lo = f32 | |
945 | FR_e_scale = f33 | |
946 | FR_e_float_N = f34 | |
947 | FR_e_N_signif = f35 | |
948 | FR_e_L_hi = f36 | |
949 | FR_e_L_lo = f37 | |
950 | FR_e_r = f38 | |
951 | FR_e_W1 = f39 | |
952 | FR_e_T1 = f40 | |
953 | FR_e_W2 = f41 | |
954 | FR_e_T2 = f42 | |
955 | FR_e_W1_p1 = f43 | |
956 | FR_e_rsq = f44 | |
957 | FR_e_A2 = f45 | |
958 | FR_e_r4 = f46 | |
959 | FR_e_A3 = f47 | |
960 | FR_e_poly = f48 | |
961 | FR_e_T = f49 | |
962 | FR_e_W = f50 | |
963 | FR_e_Wp1 = f51 | |
964 | FR_e_r6 = f52 | |
965 | FR_e_2_mk = f53 | |
966 | FR_e_A1 = f54 | |
967 | FR_e_T_scale = f55 | |
968 | FR_e_result_lo = f56 | |
969 | FR_e_W_T_scale = f57 | |
970 | FR_e_Wp1_T_scale = f58 | |
971 | ||
972 | FR_e_expl_Input_X = f123 | |
973 | FR_e_expl_Input_Y = f124 | |
974 | FR_e_expl_Output_X = f123 | |
975 | FR_e_expl_Output_Y = f124 | |
976 | ||
977 | ||
978 | FR_e_expl_Input_AbsX = f122 | |
979 | ||
980 | ||
981 | ||
982 | //======================================================= | |
983 | // Common registers | |
984 | ||
985 | // General Purpose Registers | |
986 | GR_c_Table = r53 | |
987 | GR_c_NegUnderflow = r54 | |
988 | GR_c_NegSingularity = r55 | |
989 | GR_c_X = r56 | |
990 | GR_c_SignBit = r57 | |
991 | GR_c_13 = r58 | |
992 | ||
993 | ||
994 | // Floating Point Registers | |
995 | FR_c_PosOverflow = f123 | |
996 | FR_c_XN = f124 | |
997 | ||
998 | ||
999 | //======================================================= | |
1000 | // Polynomial part registers | |
1001 | ||
1002 | // General Purpose Registers | |
1003 | GR_p_Table = r59 | |
1004 | GR_p_XN = r33 | |
1005 | GR_p_Table2 = r34 | |
1006 | GR_p_Int = r35 | |
1007 | GR_p_Offset = r36 | |
1008 | GR_p_Offset2 = r38 | |
1009 | GR_p_X_Sgnd = GR_l_signif_Z // = r37 | |
1010 | GR_p_Exp = r61 | |
1011 | GR_p_Bias = r62 | |
1012 | GR_p_0p75 = r63 | |
1013 | ||
1014 | // Floating Point Registers | |
1015 | FR_p_AbsX = FR_l_AbsX // = f127 | |
1016 | FR_p_IXN = FR_n_IXN // = f126 | |
1017 | FR_p_XN = f32 | |
1018 | FR_p_0p5 = f33 | |
1019 | FR_p_1p5 = f34 | |
1020 | FR_p_AbsXM1 = f35 | |
1021 | FR_p_2 = f36 | |
1022 | ||
0347518d MF |
1023 | FR_p_A20 = f37 |
1024 | FR_p_A19 = f38 | |
1025 | FR_p_A18 = f39 | |
1026 | FR_p_A17 = f40 | |
1027 | FR_p_A16 = f41 | |
1028 | FR_p_A15 = f42 | |
1029 | FR_p_A14 = f43 | |
1030 | FR_p_A13 = f44 | |
1031 | FR_p_A12 = f45 | |
1032 | FR_p_A11 = f46 | |
1033 | FR_p_A10 = f47 | |
1034 | FR_p_A9 = f48 | |
1035 | FR_p_A8 = f49 | |
1036 | FR_p_A7 = f50 | |
1037 | FR_p_A6 = f51 | |
1038 | FR_p_A5H = f52 | |
1039 | FR_p_A5L = f53 | |
1040 | FR_p_A4H = f54 | |
1041 | FR_p_A4L = f55 | |
1042 | FR_p_A3H = f56 | |
1043 | FR_p_A3L = f57 | |
1044 | FR_p_A2H = f58 | |
1045 | FR_p_A2L = f59 | |
1046 | FR_p_A1H = f60 | |
1047 | FR_p_A1L = f61 | |
1048 | FR_p_A0H = f62 | |
1049 | FR_p_A0L = f63 | |
d5efd131 MF |
1050 | |
1051 | FR_p_XR = f64 | |
0347518d MF |
1052 | FR_p_XR2 = f65 |
1053 | FR_p_XR2L = f52 | |
1054 | ||
1055 | FR_p_XR3 = f58 | |
1056 | FR_p_XR3L = f38 | |
1057 | ||
1058 | FR_p_XR4 = f42 | |
1059 | FR_p_XR6 = f40 | |
1060 | FR_p_XR8 = f37 | |
1061 | ||
1062 | FR_p_Poly5H = f66 | |
1063 | FR_p_Poly5L = f67 | |
1064 | FR_p_Poly4H = f53 | |
1065 | FR_p_Poly4L = f44 | |
1066 | FR_p_Poly3H = f41 | |
1067 | FR_p_Poly3L = f47 | |
1068 | FR_p_Poly2H = f68 | |
1069 | FR_p_Poly2L = f54 | |
1070 | FR_p_Poly1H = f55 | |
1071 | FR_p_Poly1L = f46 | |
1072 | FR_p_Poly0H = f39 | |
1073 | FR_p_Poly0L = f43 | |
1074 | ||
1075 | FR_p_Temp5H = f69 | |
1076 | FR_p_Temp5L = f70 | |
1077 | FR_p_Temp4H = f71 | |
1078 | FR_p_Temp4L = f60 | |
1079 | FR_p_Temp2H = f72 | |
1080 | FR_p_Temp2L = f73 | |
1081 | FR_p_Temp1H = f59 | |
1082 | FR_p_Temp1L = f61 | |
1083 | FR_p_Temp0H = f49 | |
1084 | FR_p_Temp0L = f48 | |
1085 | FR_p_PolyTail = f45 | |
1086 | FR_p_OddPoly0H = f56 | |
1087 | FR_p_OddPoly0L = f51 | |
d5efd131 MF |
1088 | |
1089 | FR_p_0p25 = f73 | |
1090 | ||
1091 | ||
1092 | //======================================================= | |
1093 | // Negative polynomial part registers | |
1094 | // General Purpose Registers | |
0347518d MF |
1095 | GR_r_sin_Table = r47 |
1096 | GR_r_sin_Table2 = r60 | |
d5efd131 MF |
1097 | |
1098 | // Floating Point Registers | |
0347518d MF |
1099 | FR_r_IXNS = FR_n_IXNS |
1100 | FR_r_IXN = FR_n_IXN | |
d5efd131 MF |
1101 | |
1102 | FR_r_AbsX = FR_l_AbsX | |
1103 | ||
0347518d MF |
1104 | FR_r_A9 = f74 |
1105 | FR_r_A8 = f75 | |
1106 | FR_r_A7 = f76 | |
1107 | FR_r_A6 = f77 | |
1108 | FR_r_A5 = f78 | |
1109 | FR_r_A4 = f79 | |
1110 | FR_r_A3 = f80 | |
1111 | FR_r_A2H = f81 | |
1112 | FR_r_A2L = f82 | |
1113 | FR_r_A1H = f83 | |
1114 | FR_r_A1L = f84 | |
1115 | ||
1116 | FR_r_XNS = f85 | |
1117 | FR_r_XS = f86 | |
1118 | FR_r_XS2 = f87 | |
1119 | FR_r_XS2L = f88 | |
1120 | FR_r_XS4 = f89 | |
1121 | FR_r_XS7 = f90 | |
1122 | FR_r_XS8 = f91 | |
d5efd131 MF |
1123 | |
1124 | FR_r_Tail = f92 | |
1125 | ||
0347518d MF |
1126 | FR_r_TT = f93 |
1127 | FR_r_TH = f94 | |
1128 | FR_r_TL = f95 | |
d5efd131 MF |
1129 | |
1130 | FR_r_ResH = f96 | |
1131 | FR_r_ResL = f97 | |
1132 | ||
0347518d MF |
1133 | FR_r_Res3H = f98 |
1134 | FR_r_Res3L = f99 | |
1135 | ||
1136 | FR_r_Res1H = f100 | |
1137 | FR_r_Res1L = f101 | |
1138 | ||
1139 | ||
1140 | ||
1141 | FR_r_Y0 = f102 | |
1142 | FR_r_Q0 = f103 | |
1143 | FR_r_E0 = f104 | |
1144 | FR_r_E2 = f105 | |
1145 | FR_r_E1 = f106 | |
1146 | FR_r_Y1 = f107 | |
1147 | FR_r_E3 = f108 | |
1148 | FR_r_Y2 = f109 | |
1149 | FR_r_R0 = f110 | |
1150 | FR_r_E4 = f111 | |
1151 | FR_r_ZH = f112 | |
1152 | FR_r_Y3 = f113 | |
1153 | FR_r_R1 = f114 | |
d5efd131 MF |
1154 | FR_r_ZHN = f115 |
1155 | FR_r_ZL = f115 | |
1156 | FR_r_NegOne = f116 | |
1157 | ||
0347518d MF |
1158 | FR_z_Y0 = f102 |
1159 | FR_z_Q0 = f103 | |
1160 | FR_z_E0 = f104 | |
1161 | FR_z_E2 = f105 | |
1162 | FR_z_E1 = f106 | |
1163 | FR_z_Y1 = f107 | |
1164 | FR_z_E3 = f108 | |
1165 | FR_z_Y2 = f109 | |
1166 | FR_z_R0 = f110 | |
1167 | FR_z_E4 = f111 | |
1168 | FR_z_ZH = f112 | |
1169 | FR_z_Y3 = f113 | |
1170 | FR_z_R1 = f114 | |
1171 | FR_z_ZL = f115 | |
d5efd131 MF |
1172 | |
1173 | ||
1174 | // General Purpose Registers | |
1175 | GR_SAVE_PFS = r32 | |
1176 | GR_DenOverflow = r33 | |
1177 | GR_u_XN = r34 | |
1178 | ||
0347518d MF |
1179 | GR_SAVE_B0 = r35 |
1180 | GR_SAVE_GP = r36 | |
1181 | GR_SAVE_SP = r37 | |
d5efd131 MF |
1182 | |
1183 | // Floating Point Registers | |
1184 | FR_u_IXN = f34 | |
1185 | ||
1186 | ||
1187 | // ERROR HANDLER REGISTERS | |
1188 | GR_Parameter_X = r64 | |
1189 | GR_Parameter_Y = r65 | |
1190 | GR_Parameter_RESULT = r66 | |
1191 | GR_Parameter_TAG = r67 | |
1192 | ||
1193 | FR_RESULT = f8 | |
0347518d | 1194 | FR_X = f32 |
d5efd131 MF |
1195 | FR_Y = f1 |
1196 | ||
1197 | ||
1198 | .section .text | |
1199 | GLOBAL_LIBM_ENTRY(tgammal) | |
1200 | { .mfi | |
1201 | alloc r32 = ar.pfs,0,32,4,0 | |
1202 | fabs FR_l_AbsX = f8 // Get absolute value of X | |
0347518d | 1203 | addl GR_n_sin_Table = @ltoff(Constants_Tgammal_sin), gp |
d5efd131 | 1204 | } |
0347518d | 1205 | { .mfi |
d5efd131 MF |
1206 | addl GR_l_Log_Table=@ltoff(Constants_Tgammal_log_80_Z_G_H_h1#),gp |
1207 | nop.f 0 | |
1208 | addl GR_l_Stirling_Table = @ltoff(Constants_Tgammal_stirling), gp | |
1209 | };; | |
1210 | ||
1211 | { .mfi | |
1212 | getf.sig GR_l_signif_Z = f8 // Significand of X | |
1213 | fcvt.fx.s1 FR_n_IXNS = f8 // Convert to fixed point | |
1214 | addl GR_c_Table = @ltoff(Constants_Tgammal_common), gp | |
1215 | } | |
1216 | { .mfi | |
1217 | ld8 GR_l_Log_Table = [GR_l_Log_Table] | |
1218 | nop.f 0 | |
1219 | addl GR_p_Table = @ltoff(Constants_Tgammal_poly), gp | |
1220 | };; | |
1221 | ||
1222 | { .mfi | |
0347518d | 1223 | ld8 GR_n_sin_Table = [GR_n_sin_Table] |
d5efd131 MF |
1224 | fclass.m p6,p0 = f8,0x1EF // Check x for NaN, 0, INF, denorm |
1225 | // NatVal. | |
1226 | addl GR_c_NegSingularity = 0x1003E, r0 | |
1227 | } | |
1228 | { .mlx | |
1229 | ld8 GR_l_Stirling_Table = [GR_l_Stirling_Table] | |
1230 | movl GR_c_13 = 0x402A000000000000 // 13.0 | |
1231 | };; | |
1232 | ||
1233 | { .mfi | |
1234 | getf.d GR_c_X = f8 // Double prec. X to general register | |
1235 | frcpa.s1 FR_z_Y0,p0 = f1,f8 // y = frcpa(x) (for negatives) | |
1236 | extr.u GR_l_Index1 = GR_l_signif_Z, 59, 4 // = High 4 bits of Z | |
1237 | } | |
1238 | { .mlx | |
1239 | ld8 GR_c_Table = [GR_c_Table] | |
1240 | movl GR_c_SignBit = 0x8000000000000000 // High bit (sign) | |
1241 | };; | |
1242 | ||
1243 | { .mfi | |
0347518d | 1244 | ld8 GR_p_Table = [GR_p_Table] |
d5efd131 | 1245 | fcmp.lt.s1 p15, p14 = f8,f0 // p14 - positive arg, p15 - negative |
0347518d | 1246 | shl GR_l_Index1 = GR_l_Index1,5 // Adjust Index1 ptr (x32) |
d5efd131 MF |
1247 | } |
1248 | { .mfb | |
1249 | adds GR_c_NegUnderflow = 1765, r0 | |
1250 | nop.f 0 | |
1251 | (p6) br.cond.spnt tgammal_spec // Spec. values processing branch //////////// | |
1252 | // (0s, INFs, NANs, NatVals, denormals) ////// | |
1253 | };; | |
1254 | ||
1255 | { .mfi | |
1256 | ldfpd FR_l_CH,FR_l_CL= [GR_l_Stirling_Table], 16 // Load CH, CL | |
1257 | fcvt.fx.trunc.s1 FR_n_IXN = FR_l_AbsX // Abs arg to int by trunc | |
1258 | extr.u GR_l_X_0 = GR_l_signif_Z, 49, 15 // High 15 bit of Z | |
1259 | } | |
1260 | { .mfi | |
1261 | add GR_l_Index1 = GR_l_Index1,GR_l_Log_Table // Add offset | |
1262 | fma.s1 FR_p_2 = f1, f1, f1 // 2.0 | |
1263 | andcm GR_c_X = GR_c_X, GR_c_SignBit // Remove sign | |
1264 | };; | |
1265 | ||
0347518d | 1266 | { .mfi |
d5efd131 MF |
1267 | addl GR_l_Log_Table = @ltoff(Constants_Tgammal_log_80_Z_G_H_h2#), gp |
1268 | fcmp.lt.s1 p10, p0 = FR_l_AbsX, f1 // If |X|<1 then p10 = 1 | |
1269 | nop.i 0 | |
1270 | } | |
1271 | { .mlx | |
1272 | ld2 GR_l_Z_1 = [GR_l_Index1],4 // load Z_1 from Index1 | |
1273 | movl GR_l_BIAS = 0x000000000000FFFF // Bias for exponent | |
1274 | };; | |
1275 | ||
0347518d | 1276 | { .mfi |
d5efd131 MF |
1277 | ld8 GR_l_Log_Table = [GR_l_Log_Table] |
1278 | frcpa.s1 FR_l_Y0, p0 = f1, FR_l_AbsX // y = frcpa(x) | |
1279 | nop.i 0 | |
1280 | } | |
1281 | { .mfi | |
0347518d | 1282 | ldfs FR_l_G_1 = [GR_l_Index1],4 // Load G_1 |
d5efd131 MF |
1283 | fsub.s1 FR_l_W = FR_l_AbsX, f1 // W = |X|-1 |
1284 | nop.i 0 | |
1285 | };; | |
1286 | ||
0347518d | 1287 | { .mfi |
d5efd131 MF |
1288 | getf.exp GR_l_N_Unbiased= FR_l_AbsX // exponent of |X| |
1289 | fmerge.se FR_l_S = f1, FR_l_AbsX // S = merging of X and 1.0 | |
0347518d | 1290 | cmp.gtu p11, p0 = GR_c_13, GR_c_X // If 1 <= |X| < 13 |
d5efd131 MF |
1291 | // then p11 = 1 |
1292 | } | |
1293 | { .mfb | |
1294 | ldfs FR_l_H_1 = [GR_l_Index1],8 // Load H_1 | |
1295 | fcvt.xf FR_n_XNS = FR_n_IXNS // Convert to FP repr. of int X | |
1296 | (p10) br.cond.spnt tgamma_lt_1 // Branch to |X| < 1 path /////////////////// | |
1297 | };; | |
1298 | ||
0347518d MF |
1299 | { .mfi |
1300 | ldfpd FR_n_A2H, FR_n_A2L = [GR_n_sin_Table], 16 | |
d5efd131 MF |
1301 | nop.f 0 |
1302 | pmpyshr2.u GR_l_X_1 = GR_l_X_0,GR_l_Z_1,15 // Adjust Index2 (x32) | |
1303 | } | |
0347518d MF |
1304 | { .mfb |
1305 | ldfe FR_l_B2 = [GR_l_Stirling_Table], 16 | |
d5efd131 MF |
1306 | nop.f 0 |
1307 | (p11) br.cond.spnt tgamma_lt_13 // Branch to 1 <= |X| < 13 path /////////////// | |
1308 | };; | |
1309 | ||
0347518d MF |
1310 | { .mfi |
1311 | ldfe FR_l_h_1 = [GR_l_Index1],0 | |
d5efd131 MF |
1312 | nop.f 0 |
1313 | sub GR_l_N = GR_l_N_Unbiased, GR_l_BIAS // N - BIAS | |
1314 | } | |
0347518d | 1315 | { .mib |
d5efd131 MF |
1316 | ldfpd FR_l_B4,FR_l_B6= [GR_l_Stirling_Table], 16 // Load C |
1317 | (p15) cmp.geu.unc p8,p0 = GR_l_N_Unbiased, GR_c_NegSingularity | |
1318 | (p8) br.cond.spnt tgammal_singularity // Singularity for arg < to -2^63 ////// | |
1319 | };; | |
1320 | ||
0347518d MF |
1321 | { .mmi |
1322 | (p15) ldfpd FR_n_A1H, FR_n_A1L = [GR_n_sin_Table], 16 | |
d5efd131 | 1323 | ldfpd FR_l_B8, FR_l_B10 = [GR_l_Stirling_Table], 16 |
0347518d | 1324 | add GR_c_Table = 0x20, GR_c_Table |
d5efd131 MF |
1325 | };; |
1326 | ||
1327 | { .mfi | |
0347518d MF |
1328 | (p15) ldfe FR_n_A9 = [GR_n_sin_Table], 16 |
1329 | fma.s1 FR_l_Q0 = f1,FR_l_Y0,f0 // Q0 = Y0 | |
d5efd131 MF |
1330 | nop.i 0 |
1331 | } | |
0347518d MF |
1332 | { .mfi |
1333 | ldfpd FR_l_B12, FR_l_B14 = [GR_l_Stirling_Table], 16 | |
1334 | fnma.s1 FR_l_E0 = FR_l_Y0,FR_l_AbsX,f1 // e = 1-b*y | |
d5efd131 MF |
1335 | nop.i 0 |
1336 | };; | |
1337 | ||
0347518d MF |
1338 | { .mfi |
1339 | (p15) ldfe FR_n_A8 = [GR_n_sin_Table], 16 | |
d5efd131 | 1340 | fcvt.xf FR_c_XN = FR_n_IXN // Convert to FP repr. of int X |
0347518d | 1341 | extr.u GR_l_Index2 = GR_l_X_1, 6, 4 // Extract Index2 |
d5efd131 | 1342 | } |
0347518d | 1343 | { .mfi |
d5efd131 MF |
1344 | ldfpd FR_l_B16, FR_l_B18 = [GR_l_Stirling_Table], 16 |
1345 | nop.f 0 | |
1346 | nop.i 0 | |
1347 | };; | |
1348 | ||
0347518d MF |
1349 | { .mfi |
1350 | (p15) ldfe FR_n_A7 = [GR_n_sin_Table], 16 | |
d5efd131 MF |
1351 | fms.s1 FR_l_CXH = FR_l_CH, f1, FR_l_AbsX // CXH = CH+|X| |
1352 | shl GR_l_Index2 = GR_l_Index2,5 | |
1353 | } | |
0347518d | 1354 | { .mfi |
d5efd131 MF |
1355 | ldfd FR_l_Half = [GR_l_Stirling_Table] // Load 0.5 |
1356 | nop.f 0 | |
1357 | nop.i 0 | |
1358 | };; | |
1359 | ||
0347518d | 1360 | { .mfi |
d5efd131 MF |
1361 | add GR_l_Index2 = GR_l_Index2, GR_l_Log_Table // Add offset |
1362 | nop.f 0 | |
1363 | nop.i 0 | |
1364 | } | |
0347518d MF |
1365 | { .mfi |
1366 | (p15) ldfe FR_n_A6 = [GR_n_sin_Table], 16 | |
d5efd131 MF |
1367 | (p15) fma.s1 FR_n_XS = FR_l_AbsX , f1, FR_n_XNS // xs = x - int(x) |
1368 | nop.i 0 | |
1369 | };; | |
1370 | ||
0347518d MF |
1371 | { .mmi |
1372 | ld2 GR_l_Z_2 = [GR_l_Index2],4 | |
d5efd131 MF |
1373 | addl GR_l_Log_Table = @ltoff(Constants_Tgammal_log_80_h3_G_H#),gp |
1374 | nop.i 0 | |
1375 | };; | |
1376 | ||
0347518d | 1377 | { .mfi |
d5efd131 MF |
1378 | ld8 GR_l_Log_Table = [GR_l_Log_Table] |
1379 | fma.s1 FR_l_E2 = FR_l_E0,FR_l_E0,FR_l_E0 // e2 = e+e^2 | |
1380 | nop.i 0 | |
1381 | } | |
0347518d MF |
1382 | { .mfi |
1383 | ldfs FR_l_G_2 = [GR_l_Index2],4 | |
d5efd131 MF |
1384 | fma.s1 FR_l_E1 = FR_l_E0,FR_l_E0,f0 // e1 = e^2 |
1385 | nop.i 0 | |
1386 | };; | |
1387 | ||
0347518d MF |
1388 | { .mmi |
1389 | ldfs FR_l_H_2 = [GR_l_Index2],8 | |
1390 | (p15) ldfe FR_n_A5 = [GR_n_sin_Table], 16 | |
d5efd131 MF |
1391 | nop.i 0 |
1392 | };; | |
1393 | ||
0347518d | 1394 | { .mfi |
d5efd131 MF |
1395 | setf.sig FR_l_float_N = GR_l_N // float_N = Make N a fp number |
1396 | nop.f 0 | |
0347518d | 1397 | pmpyshr2.u GR_l_X_2 = GR_l_X_1,GR_l_Z_2,15 // X_2 = X_1 * Z_2 |
d5efd131 | 1398 | } |
0347518d MF |
1399 | { .mfi |
1400 | ldfe FR_l_h_2 = [GR_l_Index2],0 | |
d5efd131 MF |
1401 | fma.s1 FR_l_CXL = FR_l_AbsX, f1, FR_l_CXH // CXL = |X|+CXH |
1402 | add GR_l_Log_Table1= 0x200, GR_l_Log_Table | |
1403 | };; | |
1404 | ||
0347518d MF |
1405 | { .mfi |
1406 | (p15) ldfe FR_n_A4 = [GR_n_sin_Table], 16 | |
d5efd131 MF |
1407 | (p15) fcmp.eq.unc.s1 p9,p0 = FR_l_AbsX, FR_c_XN //if argument is integer |
1408 | // and negative | |
1409 | nop.i 0 | |
1410 | } | |
0347518d | 1411 | { .mfi |
d5efd131 MF |
1412 | ldfe FR_c_PosOverflow = [GR_c_Table],16 //Load pos overflow value |
1413 | (p15) fma.s1 FR_n_XS2 = FR_n_XS, FR_n_XS, f0 // xs^2 = xs*xs | |
1414 | nop.i 0 | |
1415 | };; | |
1416 | ||
0347518d MF |
1417 | { .mfi |
1418 | (p15) ldfe FR_n_A3 = [GR_n_sin_Table], 16 | |
1419 | nop.f 0 | |
d5efd131 MF |
1420 | nop.i 0 |
1421 | };; | |
1422 | ||
0347518d | 1423 | { .mfi |
d5efd131 MF |
1424 | (p15) getf.sig GR_n_XN = FR_n_IXN // int(x) to general reg |
1425 | fma.s1 FR_l_Y1 = FR_l_Y0,FR_l_E2,FR_l_Y0 // y1 = y+y*e2 | |
0347518d | 1426 | nop.i 0 |
d5efd131 | 1427 | } |
0347518d MF |
1428 | { .mfb |
1429 | nop.m 0 | |
d5efd131 MF |
1430 | fma.s1 FR_l_E3 = FR_l_E1,FR_l_E1,FR_l_E0 // e3 = e+e1^2 |
1431 | (p9) br.cond.spnt tgammal_singularity // Singularity for integer ///////////// | |
1432 | // and negative arguments ////////////// | |
1433 | };; | |
1434 | ||
0347518d | 1435 | { .mfi |
d5efd131 MF |
1436 | nop.m 0 |
1437 | fms.s1 FR_l_AbsX_m_Half = FR_l_AbsX, f1, FR_l_Half // |x|-0.5 | |
1438 | extr.u GR_l_Index2 = GR_l_X_2, 1, 5 // Get Index3 | |
1439 | };; | |
1440 | ||
0347518d MF |
1441 | { .mfi |
1442 | shladd GR_l_Log_Table1= GR_l_Index2, 2, GR_l_Log_Table1 | |
d5efd131 MF |
1443 | nop.f 0 |
1444 | shladd GR_l_Index3 = GR_l_Index2,4, GR_l_Log_Table // Index3 | |
1445 | } | |
1446 | { .mfb | |
1447 | (p15) cmp.gtu.unc p11, p0 = GR_n_XN, GR_c_NegUnderflow // X < -1765 | |
1448 | fms.s1 FR_l_CXL = FR_l_CH, f1, FR_l_CXL // CXL = CH - CXL | |
1449 | (p11) br.cond.spnt tgammal_underflow // Singularity for negative argument ////// | |
1450 | // at underflow domain (X < -1765) ////// | |
1451 | };; | |
1452 | ||
0347518d MF |
1453 | { .mfi |
1454 | addl GR_l_Log_Table = @ltoff(Constants_Tgammal_log_80_Q#), gp | |
d5efd131 | 1455 | (p15) fma.s1 FR_n_TT = FR_n_A2L, FR_n_XS2, f0 // T=A2L*x^2 |
0347518d | 1456 | tbit.nz.unc p13, p12 = GR_n_XN, 0x0 // whether [X] odd or even |
d5efd131 MF |
1457 | } |
1458 | { .mfi | |
1459 | nop.m 0 | |
1460 | (p15) fms.s1 FR_n_XS2L = FR_n_XS, FR_n_XS, FR_n_XS2 // xs^2 Low part | |
1461 | nop.i 0 | |
1462 | };; | |
1463 | ||
0347518d MF |
1464 | { .mfi |
1465 | ld8 GR_l_Log_Table = [GR_l_Log_Table] | |
d5efd131 | 1466 | (p15) fma.s1 FR_n_A7 = FR_n_A8, FR_n_XS2, FR_n_A7 // poly tail |
0347518d | 1467 | nop.i 0 |
d5efd131 | 1468 | } |
0347518d MF |
1469 | { .mfi |
1470 | ldfe FR_l_h_3 = [GR_l_Index3],12 | |
d5efd131 | 1471 | (p15) fma.s1 FR_n_XS4 = FR_n_XS2, FR_n_XS2, f0 // xs^4 = xs^2*xs^2 |
0347518d | 1472 | nop.i 0 |
d5efd131 MF |
1473 | };; |
1474 | ||
0347518d MF |
1475 | { .mfi |
1476 | ldfs FR_l_H_3 = [GR_l_Log_Table1], 0 | |
d5efd131 | 1477 | fma.s1 FR_l_Y2 = FR_l_Y1, FR_l_E3, FR_l_Y0 // y2 = y+y1*e3 |
0347518d | 1478 | nop.i 0 |
d5efd131 | 1479 | } |
0347518d MF |
1480 | { .mfi |
1481 | ldfs FR_l_G_3 = [GR_l_Index3], 0 | |
d5efd131 | 1482 | fnma.s1 FR_l_Z = FR_l_AbsX,FR_l_Q0,f1 // r = a-b*q |
0347518d | 1483 | nop.i 0 |
d5efd131 MF |
1484 | };; |
1485 | ||
0347518d | 1486 | { .mfi |
d5efd131 MF |
1487 | nop.m 0 |
1488 | fmpy.s1 FR_l_G = FR_l_G_1, FR_l_G_2 // G = G1 * G_2 | |
1489 | nop.i 0 | |
1490 | } | |
0347518d | 1491 | { .mfi |
d5efd131 MF |
1492 | nop.m 0 |
1493 | fadd.s1 FR_l_H = FR_l_H_1, FR_l_H_2 // H = H_1 + H_2 | |
1494 | nop.i 0 | |
1495 | };; | |
1496 | ||
0347518d | 1497 | { .mfi |
d5efd131 | 1498 | ldfe FR_l_log2_hi = [GR_l_Log_Table],16 // load log2_hi part |
0347518d | 1499 | fadd.s1 FR_l_h = FR_l_h_1, FR_l_h_2 // h = h_1 + h_2 |
d5efd131 MF |
1500 | nop.i 0 |
1501 | } | |
1502 | { .mfi | |
0347518d | 1503 | nop.m 0 |
d5efd131 | 1504 | fcvt.xf FR_l_float_N = FR_l_float_N // int(N) |
0347518d | 1505 | nop.i 0 |
d5efd131 MF |
1506 | };; |
1507 | ||
0347518d | 1508 | { .mfi |
d5efd131 MF |
1509 | ldfe FR_l_log2_lo = [GR_l_Log_Table],16 // Load log2_lo part |
1510 | fma.s1 FR_l_CXL = FR_l_CXL, f1, FR_l_CL | |
0347518d | 1511 | nop.i 0 |
d5efd131 MF |
1512 | } |
1513 | { .mfi | |
0347518d | 1514 | nop.m 0 |
d5efd131 | 1515 | (p15) fma.s1 FR_n_TT = FR_n_A2H, FR_n_XS2L, FR_n_TT // T=A2H*x2L+T |
0347518d | 1516 | nop.i 0 |
d5efd131 MF |
1517 | };; |
1518 | ||
0347518d MF |
1519 | { .mfi |
1520 | ldfe FR_l_Q_6 = [GR_l_Log_Table],16 | |
d5efd131 | 1521 | (p15) fma.s1 FR_n_A3 = FR_n_A4, FR_n_XS2, FR_n_A3 // poly tail |
0347518d | 1522 | nop.i 0 |
d5efd131 MF |
1523 | } |
1524 | { .mfi | |
0347518d | 1525 | nop.m 0 |
d5efd131 | 1526 | (p15) fma.s1 FR_n_A5 = FR_n_A6, FR_n_XS2, FR_n_A5 // poly tail |
0347518d | 1527 | nop.i 0 |
d5efd131 MF |
1528 | };; |
1529 | ||
0347518d MF |
1530 | { .mfi |
1531 | ldfe FR_l_Q_5 = [GR_l_Log_Table],16 | |
d5efd131 | 1532 | (p15) fabs FR_n_XS = FR_n_XS // abs(xs) |
0347518d | 1533 | nop.i 0 |
d5efd131 MF |
1534 | } |
1535 | { .mfi | |
0347518d | 1536 | nop.m 0 |
d5efd131 | 1537 | fma.s1 FR_l_Z = FR_l_Z,FR_l_Y2,FR_l_Q0 // x_hi = q+r*y2 |
0347518d | 1538 | nop.i 0 |
d5efd131 MF |
1539 | };; |
1540 | ||
0347518d MF |
1541 | { .mfi |
1542 | ldfe FR_l_Q_4 = [GR_l_Log_Table],16 | |
d5efd131 | 1543 | (p15) fma.s1 FR_n_A7 = FR_n_A9, FR_n_XS4, FR_n_A7 // poly tail |
0347518d | 1544 | nop.i 0 |
d5efd131 MF |
1545 | } |
1546 | { .mfi | |
0347518d | 1547 | nop.m 0 |
d5efd131 | 1548 | (p15) fma.s1 FR_n_XS7 = FR_n_XS4, FR_n_XS2, f0 // = x^4*x^2 |
0347518d | 1549 | nop.i 0 |
d5efd131 MF |
1550 | };; |
1551 | ||
0347518d MF |
1552 | { .mfi |
1553 | ldfe FR_l_Q_3 = [GR_l_Log_Table],16 | |
d5efd131 | 1554 | fneg FR_n_NegOne = f1 // -1.0 |
0347518d | 1555 | nop.i 0 |
d5efd131 MF |
1556 | } |
1557 | { .mfi | |
0347518d | 1558 | nop.m 0 |
d5efd131 | 1559 | (p15) fma.s1 FR_n_XS8 = FR_n_XS4, FR_n_XS4, f0 // xs^8 = xs^4*xs^4 |
0347518d | 1560 | nop.i 0 |
d5efd131 MF |
1561 | };; |
1562 | ||
0347518d MF |
1563 | { .mfi |
1564 | ldfe FR_l_Q_2 = [GR_l_Log_Table],16 | |
1565 | fadd.s1 FR_l_h = FR_l_h, FR_l_h_3 // h = h_1 + h_2 + h_3 | |
1566 | nop.i 0 | |
d5efd131 MF |
1567 | } |
1568 | { .mfi | |
0347518d | 1569 | nop.m 0 |
d5efd131 | 1570 | (p15) fma.s1 FR_n_TH = FR_n_A2H, FR_n_XS2, FR_n_TT // A2H*xs2+T |
0347518d | 1571 | nop.i 0 |
d5efd131 MF |
1572 | };; |
1573 | ||
0347518d MF |
1574 | { .mfi |
1575 | ldfe FR_l_Q_1 = [GR_l_Log_Table],16 | |
1576 | fmpy.s1 FR_l_G = FR_l_G, FR_l_G_3 // G = G_1 * G_2 * G_3 | |
1577 | nop.i 0 | |
d5efd131 MF |
1578 | } |
1579 | { .mfi | |
1580 | nop.m 0 | |
0347518d MF |
1581 | fadd.s1 FR_l_H = FR_l_H, FR_l_H_3 // H = H_1 + H_2 + H_3 |
1582 | nop.i 0 | |
d5efd131 MF |
1583 | };; |
1584 | ||
0347518d | 1585 | { .mfi |
d5efd131 MF |
1586 | nop.m 0 |
1587 | fma.s1 FR_l_Z2 = FR_l_Z, FR_l_Z, f0 // Z^2 | |
1588 | nop.i 0 | |
1589 | } | |
1590 | { .mfi | |
1591 | nop.m 0 | |
1592 | (p15) fma.s1 FR_n_A3 = FR_n_A5, FR_n_XS4, FR_n_A3 // poly tail | |
1593 | nop.i 0 | |
1594 | };; | |
1595 | ||
0347518d | 1596 | { .mfi |
d5efd131 MF |
1597 | nop.m 0 |
1598 | (p14) fcmp.gt.unc.s1 p7,p0 = FR_l_AbsX, FR_c_PosOverflow //X > 1755.5483 | |
1599 | // (overflow domain, result cannot be represented by normal value) | |
1600 | nop.i 0 | |
1601 | } | |
0347518d | 1602 | { .mfi |
d5efd131 MF |
1603 | nop.m 0 |
1604 | (p15) fma.s1 FR_n_XS7 = FR_n_XS7, FR_n_XS, f0 // x^7 construction | |
1605 | nop.i 0 | |
1606 | };; | |
1607 | ||
0347518d | 1608 | { .mfi |
d5efd131 MF |
1609 | nop.m 0 |
1610 | (p15) fms.s1 FR_n_TL = FR_n_A2H, FR_n_XS2, FR_n_TH // A2H*xs2+TH | |
1611 | nop.i 0 | |
1612 | } | |
1613 | { .mfi | |
1614 | nop.m 0 | |
1615 | (p15) fma.s1 FR_n_PolyH = FR_n_TH, f1, FR_n_A1H // PolyH=TH+A1H | |
0347518d | 1616 | nop.i 0 |
d5efd131 MF |
1617 | };; |
1618 | ||
0347518d | 1619 | { .mfi |
d5efd131 MF |
1620 | nop.m 0 |
1621 | fmpy.s1 FR_l_GS_hi = FR_l_G, FR_l_S // GS_hi = G*S | |
1622 | nop.i 0 | |
1623 | } | |
1624 | { .mfb | |
1625 | nop.m 0 | |
1626 | fms.s1 FR_l_r = FR_l_G, FR_l_S, f1 // r = G*S -1 | |
1627 | (p7) br.cond.spnt tgammal_overflow // Overflow path for arg > 1755.5483 ////// | |
1628 | };; | |
1629 | ||
0347518d | 1630 | { .mfi |
d5efd131 | 1631 | nop.m 0 |
6f65e668 | 1632 | fma.s1 FR_l_B14 = FR_l_B16, FR_l_Z2, FR_l_B14// Bernoulli tail |
d5efd131 MF |
1633 | nop.i 0 |
1634 | } | |
0347518d | 1635 | { .mfi |
d5efd131 MF |
1636 | nop.m 0 |
1637 | fma.s1 FR_l_Z4 = FR_l_Z2, FR_l_Z2, f0 // Z^4 = Z^2*Z^2 | |
1638 | nop.i 0 | |
1639 | };; | |
1640 | ||
0347518d | 1641 | { .mfi |
d5efd131 | 1642 | nop.m 0 |
6f65e668 | 1643 | fma.s1 FR_l_B2 = FR_l_B4, FR_l_Z2, FR_l_B2 // Bernoulli tail |
d5efd131 MF |
1644 | nop.i 0 |
1645 | } | |
1646 | { .mfi | |
1647 | nop.m 0 | |
6f65e668 | 1648 | fma.s1 FR_l_B6 = FR_l_B8, FR_l_Z2, FR_l_B6 // Bernoulli tail |
d5efd131 MF |
1649 | nop.i 0 |
1650 | };; | |
1651 | ||
0347518d | 1652 | { .mfi |
d5efd131 | 1653 | nop.m 0 |
6f65e668 | 1654 | fma.s1 FR_l_B10 = FR_l_B12, FR_l_Z2, FR_l_B10// Bernoulli tail |
d5efd131 MF |
1655 | nop.i 0 |
1656 | } | |
1657 | { .mfi | |
1658 | nop.m 0 | |
1659 | (p15) fma.s1 FR_n_Tail = FR_n_A7, FR_n_XS8, FR_n_A3 // poly tail | |
1660 | nop.i 0 | |
1661 | };; | |
1662 | ||
0347518d | 1663 | { .mfi |
d5efd131 MF |
1664 | nop.m 0 |
1665 | (p15) fma.s1 FR_n_TL = FR_n_TL, f1, FR_n_TT // TL = TL+T | |
1666 | nop.i 0 | |
1667 | } | |
1668 | { .mfi | |
1669 | nop.m 0 | |
1670 | (p15) fms.s1 FR_n_PolyL = FR_n_A1H, f1, FR_n_PolyH // polyH+A1H | |
1671 | nop.i 0 | |
1672 | };; | |
1673 | ||
0347518d | 1674 | { .mfi |
d5efd131 MF |
1675 | nop.m 0 |
1676 | fma.s1 FR_l_poly_lo = FR_l_r, FR_l_Q_6, FR_l_Q_5 // Q_5+r*Q_6 | |
1677 | nop.i 0 | |
1678 | } | |
1679 | { .mfi | |
1680 | nop.m 0 | |
1681 | fsub.s1 FR_l_r_cor = FR_l_GS_hi, f1 // r_cor = GS_hi -1 | |
0347518d | 1682 | nop.i 0 |
d5efd131 MF |
1683 | };; |
1684 | ||
0347518d | 1685 | { .mfi |
d5efd131 MF |
1686 | nop.m 0 |
1687 | fms.s1 FR_l_GS_lo = FR_l_G, FR_l_S, FR_l_GS_hi // G*S-GS_hi | |
1688 | nop.i 0 | |
1689 | } | |
1690 | { .mfi | |
1691 | nop.m 0 | |
1692 | fma.s1 FR_l_poly = FR_l_r, FR_l_Q_2, FR_l_Q_1 //poly=r*Q2+Q1 | |
0347518d | 1693 | nop.i 0 |
d5efd131 MF |
1694 | };; |
1695 | ||
0347518d | 1696 | { .mfi |
d5efd131 MF |
1697 | nop.m 0 |
1698 | fmpy.s1 FR_l_rsq = FR_l_r, FR_l_r // rsq = r * r | |
1699 | nop.i 0 | |
1700 | } | |
1701 | { .mfi | |
1702 | nop.m 0 | |
1703 | fma.s1 FR_l_G = FR_l_float_N, FR_l_log2_hi, FR_l_H // Tbl = | |
1704 | // float_N*log2_hi + H | |
0347518d | 1705 | nop.i 0 |
d5efd131 MF |
1706 | };; |
1707 | ||
0347518d MF |
1708 | { .mfi |
1709 | nop.m 0 | |
d5efd131 MF |
1710 | fma.s1 FR_l_Y_lo = FR_l_float_N, FR_l_log2_lo, FR_l_h // Y_lo= |
1711 | // float_N*log2_lo + h | |
0347518d | 1712 | nop.i 0 |
d5efd131 MF |
1713 | } |
1714 | { .mfi | |
0347518d | 1715 | nop.m 0 |
d5efd131 | 1716 | fma.s1 FR_l_B14 = FR_l_B18, FR_l_Z4, FR_l_B14 //bernulli tail |
0347518d | 1717 | nop.i 0 |
d5efd131 MF |
1718 | };; |
1719 | ||
0347518d MF |
1720 | { .mfi |
1721 | nop.m 0 | |
d5efd131 | 1722 | fma.s1 FR_l_B2 = FR_l_B6, FR_l_Z4, FR_l_B2 //bernulli tail |
0347518d | 1723 | nop.i 0 |
d5efd131 MF |
1724 | } |
1725 | { .mfi | |
0347518d | 1726 | nop.m 0 |
d5efd131 | 1727 | fma.s1 FR_l_Z8 = FR_l_Z4, FR_l_Z4, f0 //bernulli tail |
0347518d | 1728 | nop.i 0 |
d5efd131 MF |
1729 | };; |
1730 | ||
0347518d | 1731 | { .mfi |
d5efd131 MF |
1732 | nop.m 0 |
1733 | fma.s1 FR_l_poly_lo = FR_l_r, FR_l_poly_lo, FR_l_Q_4 // poly_lo = | |
1734 | // Q_4 + r * poly_lo | |
1735 | nop.i 0 | |
1736 | } | |
1737 | { .mfi | |
1738 | nop.m 0 | |
1739 | fsub.s1 FR_l_r_cor = FR_l_r_cor, FR_l_r // r_cor = r_cor - r | |
0347518d | 1740 | nop.i 0 |
d5efd131 MF |
1741 | };; |
1742 | ||
0347518d | 1743 | { .mfi |
d5efd131 MF |
1744 | nop.m 0 |
1745 | (p15) fma.s1 FR_n_PolyL = FR_n_PolyL, f1, FR_n_TH // polyL+TH | |
1746 | nop.i 0 | |
1747 | } | |
1748 | { .mfi | |
1749 | nop.m 0 | |
1750 | (p15) fma.s1 FR_n_TT = FR_n_TL, f1, FR_n_A1L // TL+A1L | |
1751 | nop.i 0 | |
1752 | };; | |
1753 | ||
0347518d | 1754 | { .mfi |
d5efd131 | 1755 | nop.m 0 |
0347518d MF |
1756 | fadd.s1 FR_l_logl_YHi = FR_l_G, FR_l_r // Y_hi = Tbl + r |
1757 | nop.i 0 | |
d5efd131 MF |
1758 | };; |
1759 | ||
0347518d | 1760 | { .mfi |
d5efd131 MF |
1761 | nop.m 0 |
1762 | fma.s1 FR_l_B10 = FR_l_B14, FR_l_Z4, FR_l_B10 //bernulli tail | |
0347518d | 1763 | nop.i 0 |
d5efd131 MF |
1764 | };; |
1765 | ||
0347518d | 1766 | { .mfi |
d5efd131 MF |
1767 | nop.m 0 |
1768 | fma.s1 FR_l_poly_lo = FR_l_r, FR_l_poly_lo, FR_l_Q_3 // poly_lo = | |
1769 | // Q_3 + r * poly_lo | |
1770 | nop.i 0 | |
1771 | } | |
1772 | { .mfi | |
1773 | nop.m 0 | |
1774 | fadd.s1 FR_l_r_cor = FR_l_r_cor, FR_l_GS_lo // r_cor=r_cor+GS_lo | |
0347518d | 1775 | nop.i 0 |
d5efd131 MF |
1776 | };; |
1777 | ||
0347518d | 1778 | { .mfi |
d5efd131 MF |
1779 | nop.m 0 |
1780 | (p15) fma.s1 FR_n_PolyL = FR_n_PolyL, f1, FR_n_TT // polyL+TT | |
1781 | nop.i 0 | |
1782 | };; | |
1783 | ||
0347518d | 1784 | { .mfi |
d5efd131 | 1785 | nop.m 0 |
0347518d | 1786 | fsub.s1 FR_l_Y_lo_res = FR_l_G, FR_l_logl_YHi // Y_lo = Tbl - Y_hi |
d5efd131 MF |
1787 | nop.i 0 |
1788 | } | |
1789 | { .mfi | |
1790 | nop.m 0 | |
1791 | fma.s1 FR_l_XYH = FR_l_logl_YHi, FR_l_AbsX_m_Half, f0 // XYH= | |
1792 | // YHi*|x-0.5| | |
1793 | nop.i 0 | |
1794 | };; | |
1795 | ||
0347518d | 1796 | { .mfi |
d5efd131 | 1797 | nop.m 0 |
6f65e668 | 1798 | fma.s1 FR_l_SS = FR_l_B10, FR_l_Z8, FR_l_B2 // Bernoulli tail |
d5efd131 MF |
1799 | nop.i 0 |
1800 | };; | |
1801 | ||
0347518d | 1802 | { .mfi |
d5efd131 MF |
1803 | nop.m 0 |
1804 | fadd.s1 FR_l_r_cor = FR_l_r_cor, FR_l_Y_lo // r_cor = r_cor+Y_lo | |
1805 | nop.i 0 | |
1806 | } | |
1807 | { .mfi | |
1808 | nop.m 0 | |
1809 | fma.s1 FR_l_poly = FR_l_rsq, FR_l_poly_lo, FR_l_poly //poly= | |
1810 | // r^2*polyLo+poly | |
0347518d | 1811 | nop.i 0 |
d5efd131 MF |
1812 | };; |
1813 | ||
0347518d | 1814 | { .mfi |
d5efd131 MF |
1815 | nop.m 0 |
1816 | (p15) fma.s1 FR_n_TT = FR_n_PolyL, FR_n_XS2, f0 // T=polyL*xs^2 | |
0347518d | 1817 | nop.i 0 |
d5efd131 MF |
1818 | };; |
1819 | ||
0347518d | 1820 | { .mfi |
d5efd131 MF |
1821 | nop.m 0 |
1822 | fadd.s1 FR_l_Y_lo = FR_l_Y_lo_res, FR_l_r // Y_lo = Y_lo + r | |
1823 | nop.i 0 | |
1824 | } | |
1825 | { .mfi | |
1826 | nop.m 0 | |
1827 | fms.s1 FR_l_XYL = FR_l_logl_YHi, FR_l_AbsX_m_Half, FR_l_XYH | |
1828 | // XYL = YHi*|x-0.5|-XYH | |
1829 | nop.i 0 | |
1830 | };; | |
1831 | ||
0347518d | 1832 | { .mfi |
d5efd131 MF |
1833 | nop.m 0 |
1834 | fma.s1 FR_l_SSCXH = FR_l_SS, FR_l_Z, FR_l_CXH // SS*Z+CXH | |
1835 | nop.i 0 | |
1836 | } | |
1837 | { .mfi | |
1838 | mov GR_e_exp_2tom51= 0xffff-51 // 2^-51 | |
1839 | (p15) fma.s1 FR_l_SignedXYH = FR_l_XYH, FR_n_NegOne, f0 // XYH = -XYH | |
1840 | // for negatives | |
1841 | nop.i 0 | |
1842 | };; | |
1843 | ||
0347518d | 1844 | { .mlx |
d5efd131 MF |
1845 | nop.m 0 |
1846 | movl GR_e_rshf_2to51 = 0x4718000000000000 // 1.10000 2^(63+51) | |
1847 | } | |
1848 | { .mlx | |
1849 | nop.m 0 | |
1850 | movl GR_e_sig_inv_ln2 = 0xb8aa3b295c17f0bc //significand of 1/ln2 | |
1851 | };; | |
1852 | ||
1853 | { .mfi | |
1854 | nop.m 0 | |
0347518d | 1855 | fma.s1 FR_l_poly = FR_l_rsq, FR_l_poly, FR_l_r_cor // poly = |
d5efd131 | 1856 | // rsq * poly + r_cor |
0347518d | 1857 | nop.i 0 |
d5efd131 MF |
1858 | };; |
1859 | ||
0347518d | 1860 | { .mfi |
d5efd131 | 1861 | addl GR_e_ad_Arg = @ltoff(Constants_Tgammal_exp_64_Arg#),gp |
0347518d | 1862 | (p15) fma.s1 FR_n_TT = FR_n_PolyH, FR_n_XS2L, FR_n_TT |
d5efd131 MF |
1863 | mov GR_e_exp_mask = 0x1FFFF // Form exponent mask |
1864 | } | |
1865 | { .mlx | |
1866 | nop.m 0 | |
1867 | movl GR_e_rshf = 0x43e8000000000000 // 1.10000 2^63 rshift | |
1868 | };; | |
1869 | ||
1870 | ||
0347518d | 1871 | { .mmi |
d5efd131 MF |
1872 | setf.sig FR_e_INV_LN2_2TO63 = GR_e_sig_inv_ln2 // form 1/ln2 * 2^63 |
1873 | setf.d FR_e_RSHF_2TO51 = GR_e_rshf_2to51 // 1.1000 * 2^(63+51) | |
1874 | nop.i 0 | |
1875 | };; | |
1876 | ||
0347518d | 1877 | { .mfi |
d5efd131 MF |
1878 | nop.m 0 |
1879 | fms.s1 FR_l_SSCXL = FR_l_CXH, f1, FR_l_SSCXH // CXH+SS*CXH | |
1880 | nop.i 0 | |
1881 | } | |
1882 | { .mfi | |
1883 | nop.m 0 | |
0347518d | 1884 | fma.s1 FR_e_expl_Input_AbsX = FR_l_XYH, f1, FR_l_SSCXH // HI EXP |
d5efd131 MF |
1885 | nop.i 0 |
1886 | };; | |
1887 | ||
1888 | .pred.rel "mutex",p14,p15 | |
0347518d | 1889 | { .mfi |
d5efd131 MF |
1890 | nop.m 0 |
1891 | (p14) fma.s1 FR_e_expl_Input_X = FR_l_XYH, f1, FR_l_SSCXH // HI EXP | |
1892 | mov GR_e_exp_bias = 0x0FFFF // Set exponent bias | |
1893 | } | |
1894 | { .mfi | |
1895 | ld8 GR_e_ad_Arg = [GR_e_ad_Arg] // Point to Arg table | |
1896 | (p15) fms.s1 FR_e_expl_Input_X = FR_l_SignedXYH, f1, FR_l_SSCXH // HI EXP | |
1897 | nop.i 0 | |
1898 | };; | |
1899 | ||
0347518d | 1900 | { .mfi |
d5efd131 MF |
1901 | nop.m 0 |
1902 | fadd.s1 FR_l_logl_YLo = FR_l_Y_lo, FR_l_poly // YLo = YLo+poly | |
1903 | nop.i 0 | |
1904 | };; | |
1905 | ||
0347518d | 1906 | { .mfi |
d5efd131 MF |
1907 | setf.exp FR_e_2TOM51 = GR_e_exp_2tom51 //2^-51 for scaling float_N |
1908 | (p15) fma.s1 FR_n_TH = FR_n_PolyH, FR_n_XS2, FR_n_TT // TH= | |
1909 | // polyH*xs^2+T | |
1910 | nop.i 0 | |
1911 | } | |
1912 | { .mib | |
1913 | setf.d FR_e_RSHF = GR_e_rshf // Right shift const 1.1000*2^63 | |
1914 | nop.i 0 | |
1915 | nop.b 0 | |
1916 | };; | |
1917 | ||
0347518d | 1918 | { .mfi |
d5efd131 MF |
1919 | add GR_e_ad_A = 0x20, GR_e_ad_Arg // Point to A table |
1920 | nop.f 0 | |
1921 | add GR_e_ad_T1 = 0x50, GR_e_ad_Arg // Point to T1 table | |
1922 | } | |
1923 | { .mfi | |
1924 | add GR_e_ad_T2 = 0x150, GR_e_ad_Arg // Point to T2 table | |
1925 | nop.f 0 | |
1926 | nop.i 0 | |
1927 | };; | |
1928 | ||
0347518d | 1929 | { .mfi |
d5efd131 MF |
1930 | nop.m 0 |
1931 | fma.s1 FR_l_SSCXL = FR_l_SS, FR_l_Z, FR_l_SSCXL | |
1932 | nop.i 0 | |
1933 | } | |
1934 | { .mfi | |
1935 | nop.m 0 | |
1936 | fms.s1 FR_e_expl_Input_Y = FR_l_XYH, f1, FR_e_expl_Input_AbsX | |
1937 | nop.i 0 | |
1938 | };; | |
1939 | ||
0347518d | 1940 | { .mfi |
d5efd131 MF |
1941 | ldfe FR_e_L_hi = [GR_e_ad_Arg],16 // Get L_hi |
1942 | nop.f 0 | |
1943 | nop.i 0 | |
1944 | };; | |
1945 | ||
0347518d | 1946 | { .mfi |
d5efd131 MF |
1947 | nop.m 0 |
1948 | fma.s1 FR_l_XYL = FR_l_logl_YLo, FR_l_AbsX_m_Half, FR_l_XYL | |
1949 | // XYL = YLo*|x-0.5|+XYL | |
1950 | nop.i 0 | |
1951 | };; | |
1952 | ||
0347518d | 1953 | { .mfi |
d5efd131 | 1954 | ldfe FR_e_L_lo = [GR_e_ad_Arg],16 // Get L_lo |
0347518d | 1955 | (p15) fms.s1 FR_n_TL = FR_n_PolyH, FR_n_XS2, FR_n_TH // TL = |
d5efd131 MF |
1956 | // = polyH*xs^2-TH |
1957 | add GR_e_ad_W1 = 0x100, GR_e_ad_T2 // Point to W1 table | |
1958 | } | |
1959 | { .mfi | |
1960 | nop.m 0 | |
1961 | (p15) fma.s1 FR_n_Poly1H = FR_n_TH, f1, f1 // poly1H = TH+1 | |
1962 | add GR_e_ad_W2 = 0x300, GR_e_ad_T2 // Point to W2 table | |
1963 | };; | |
1964 | ||
0347518d | 1965 | { .mmi |
d5efd131 | 1966 | getf.exp GR_e_signexp_x = FR_e_expl_Input_X // Extract sign and exp |
0347518d | 1967 | ldfe FR_e_A3 = [GR_e_ad_A],16 // Get A3 |
d5efd131 MF |
1968 | nop.i 0 |
1969 | };; | |
1970 | ||
0347518d | 1971 | { .mfi |
d5efd131 MF |
1972 | nop.m 0 |
1973 | fma.s1 FR_l_SSCXL = FR_l_SSCXL, f1, FR_l_CXL | |
1974 | nop.i 0 | |
1975 | } | |
1976 | { .mfi | |
1977 | nop.m 0 | |
1978 | fma.s1 FR_e_expl_Input_Y = FR_e_expl_Input_Y, f1, FR_l_SSCXH | |
1979 | nop.i 0 | |
1980 | };; | |
1981 | ||
0347518d | 1982 | { .mfi |
d5efd131 MF |
1983 | nop.m 0 |
1984 | fma.s1 FR_e_N_signif=FR_e_expl_Input_X,FR_e_INV_LN2_2TO63,FR_e_RSHF_2TO51 | |
1985 | and GR_e_exp_x = GR_e_signexp_x, GR_e_exp_mask | |
1986 | };; | |
1987 | ||
0347518d | 1988 | { .mmi |
d5efd131 MF |
1989 | sub GR_e_exp_x = GR_e_exp_x, GR_e_exp_bias // Get exponent |
1990 | ldfe FR_e_A2 = [GR_e_ad_A],16 // Get A2 for main path | |
1991 | nop.i 0 | |
1992 | };; | |
1993 | ||
0347518d | 1994 | { .mfi |
d5efd131 MF |
1995 | nop.m 0 |
1996 | (p15) fma.s1 FR_n_PolyH = FR_n_Poly1H, FR_n_XS, f0//sin(Pi*x) poly | |
1997 | nop.i 0 | |
1998 | } | |
1999 | { .mfi | |
2000 | nop.m 0 | |
2001 | (p15) fms.s1 FR_n_Poly1L = f1, f1, FR_n_Poly1H//sin(Pi*x) poly | |
2002 | nop.i 0 | |
2003 | };; | |
2004 | ||
0347518d | 2005 | { .mfi |
d5efd131 MF |
2006 | nop.m 0 |
2007 | (p15) fma.s1 FR_n_TL = FR_n_TL, f1, FR_n_TT//sin(Pi*x) poly | |
2008 | nop.i 0 | |
2009 | };; | |
2010 | ||
0347518d | 2011 | { .mfi |
d5efd131 MF |
2012 | nop.m 0 |
2013 | fma.s1 FR_l_Temp = FR_l_XYL, f1, FR_l_SSCXL // XYL+SS*CXL | |
2014 | nop.i 0 | |
2015 | } | |
2016 | { .mfi | |
2017 | nop.m 0 | |
2018 | (p15) fma.s1 FR_e_expl_Input_Y = FR_e_expl_Input_Y, FR_n_NegOne, f0 | |
2019 | // Negate lo part of exp argument for negative input values | |
2020 | nop.i 0 | |
2021 | };; | |
2022 | ||
0347518d | 2023 | { .mfi |
d5efd131 MF |
2024 | ldfe FR_e_A1 = [GR_e_ad_A],16 // Get A1 |
2025 | nop.f 0 | |
2026 | nop.i 0 | |
2027 | } | |
2028 | { .mfi | |
2029 | nop.m 0 | |
0347518d | 2030 | fms.s1 FR_e_float_N = FR_e_N_signif, FR_e_2TOM51, FR_e_RSHF |
d5efd131 MF |
2031 | // Get float N = signd*2^51-RSHIFTER |
2032 | nop.i 0 | |
2033 | };; | |
2034 | ||
0347518d | 2035 | { .mfi |
d5efd131 MF |
2036 | nop.m 0 |
2037 | (p15) fma.s1 FR_n_Poly1L = FR_n_Poly1L, f1, FR_n_TH //sin(Pi*x) poly | |
2038 | nop.i 0 | |
2039 | } | |
2040 | { .mfi | |
2041 | nop.m 0 | |
2042 | (p15) fms.s1 FR_n_PolyL = FR_n_Poly1H, FR_n_XS, FR_n_PolyH//sin(Pi*x) | |
2043 | nop.i 0 | |
2044 | };; | |
2045 | ||
0347518d | 2046 | { .mfi |
d5efd131 MF |
2047 | getf.sig GR_e_N_fix = FR_e_N_signif // Get N from significand |
2048 | nop.f 0 | |
2049 | nop.i 0 | |
2050 | };; | |
2051 | ||
2052 | .pred.rel "mutex",p14,p15 | |
0347518d | 2053 | { .mfi |
d5efd131 | 2054 | nop.m 0 |
0347518d | 2055 | (p14) fma.s1 FR_e_expl_Input_Y = FR_e_expl_Input_Y, f1, FR_l_Temp |
d5efd131 MF |
2056 | nop.i 0 |
2057 | } | |
0347518d | 2058 | { .mfi |
d5efd131 | 2059 | nop.m 0 |
0347518d | 2060 | (p15) fms.s1 FR_e_expl_Input_Y = FR_e_expl_Input_Y, f1, FR_l_Temp |
d5efd131 MF |
2061 | // arguments for exp computation |
2062 | nop.i 0 | |
2063 | };; | |
2064 | ||
0347518d | 2065 | { .mfi |
d5efd131 MF |
2066 | nop.m 0 |
2067 | fnma.s1 FR_e_r = FR_e_L_hi, FR_e_float_N, FR_e_expl_Input_X | |
2068 | // r = -L_hi * float_N + x | |
2069 | extr.u GR_e_M1 = GR_e_N_fix, 6, 6 // Extract index M_1 | |
2070 | };; | |
2071 | ||
0347518d | 2072 | { .mfi |
d5efd131 MF |
2073 | nop.m 0 |
2074 | (p15) fma.s1 FR_n_Poly1L = FR_n_Poly1L, f1, FR_n_TL //sin(Pi*x) poly | |
2075 | nop.i 0 | |
2076 | };; | |
2077 | ||
2078 | ||
0347518d | 2079 | { .mmf |
d5efd131 MF |
2080 | nop.m 0 |
2081 | nop.m 0 | |
0347518d | 2082 | fma.s1 FR_e_r = FR_e_r, f1, FR_e_expl_Input_Y |
d5efd131 MF |
2083 | // r = r + FR_e_expl_Input_Y |
2084 | };; | |
2085 | ||
0347518d | 2086 | { .mmi |
d5efd131 MF |
2087 | shladd GR_e_ad_W1 = GR_e_M1,3,GR_e_ad_W1 // Point to W1 |
2088 | shladd GR_e_ad_T1 = GR_e_M1,2,GR_e_ad_T1 // Point to T1 | |
2089 | extr.u GR_e_M2 = GR_e_N_fix, 0, 6 // Extract index M_2 | |
2090 | };; | |
2091 | ||
2092 | ||
0347518d | 2093 | { .mfi |
d5efd131 MF |
2094 | ldfs FR_e_T1 = [GR_e_ad_T1],0 // Get T1 |
2095 | nop.f 0 | |
2096 | extr GR_e_K = GR_e_N_fix, 12, 32 //Extract limit range K | |
2097 | } | |
2098 | { .mfi | |
2099 | shladd GR_e_ad_T2 = GR_e_M2,2,GR_e_ad_T2 // Point to T2 | |
2100 | (p15) fma.s1 FR_n_PolyL = FR_n_Poly1L, FR_n_XS, FR_n_PolyL | |
2101 | //sin(Pi*x) poly | |
2102 | shladd GR_e_ad_W2 = GR_e_M2,3,GR_e_ad_W2 // Point to W2 | |
2103 | };; | |
2104 | ||
0347518d | 2105 | { .mfi |
d5efd131 MF |
2106 | ldfs FR_e_T2 = [GR_e_ad_T2],0 // Get T2 |
2107 | nop.f 0 | |
2108 | add GR_e_exp_2_k = GR_e_exp_bias, GR_e_K // exp of 2^k | |
2109 | } | |
2110 | { .mfi | |
2111 | ldfd FR_e_W1 = [GR_e_ad_W1],0 // Get W1 | |
2112 | nop.f 0 | |
2113 | sub GR_e_exp_2_mk = GR_e_exp_bias, GR_e_K // exp of 2^-k | |
2114 | };; | |
2115 | ||
0347518d | 2116 | { .mmi |
d5efd131 MF |
2117 | ldfd FR_e_W2 = [GR_e_ad_W2],0 // Get W2 |
2118 | nop.m 0 | |
2119 | nop.i 0 | |
2120 | };; | |
2121 | ||
0347518d | 2122 | { .mmf |
d5efd131 MF |
2123 | setf.exp FR_e_scale = GR_e_exp_2_k // Set scale = 2^k |
2124 | setf.exp FR_e_2_mk = GR_e_exp_2_mk // Form 2^-k | |
0347518d | 2125 | fnma.s1 FR_e_r = FR_e_L_lo, FR_e_float_N, FR_e_r |
d5efd131 MF |
2126 | // r = -L_lo * float_N + r |
2127 | };; | |
2128 | ||
0347518d | 2129 | { .mfi |
d5efd131 | 2130 | nop.m 0 |
0347518d | 2131 | (p15) fma.s1 FR_n_PolyL = FR_n_Tail, FR_n_XS7, FR_n_PolyL |
d5efd131 MF |
2132 | //sin(Pi*x) poly |
2133 | nop.i 0 | |
2134 | };; | |
2135 | ||
0347518d | 2136 | { .mfi |
d5efd131 MF |
2137 | nop.m 0 |
2138 | fma.s1 FR_e_poly = FR_e_r, FR_e_A3, FR_e_A2 // poly=r*A3+A2 | |
2139 | nop.i 0 | |
2140 | } | |
2141 | { .mfi | |
2142 | nop.m 0 | |
2143 | fmpy.s1 FR_e_rsq = FR_e_r, FR_e_r // rsq = r * r | |
2144 | nop.i 0 | |
2145 | };; | |
2146 | ||
0347518d | 2147 | { .mfi |
d5efd131 MF |
2148 | nop.m 0 |
2149 | fmpy.s1 FR_e_T = FR_e_T1, FR_e_T2 // T = T1 * T2 | |
2150 | nop.i 0 | |
2151 | } | |
2152 | { .mfi | |
2153 | nop.m 0 | |
2154 | fadd.s1 FR_e_W1_p1 = FR_e_W1, f1 // W1_p1 = W1 + 1.0 | |
2155 | nop.i 0 | |
2156 | };; | |
2157 | ||
0347518d | 2158 | { .mfi |
d5efd131 MF |
2159 | nop.m 0 |
2160 | (p15) fma.s1 FR_n_TT = FR_n_PolyL, FR_l_AbsX, f0 //sin(Pi*x) poly | |
2161 | nop.i 0 | |
2162 | };; | |
2163 | ||
0347518d | 2164 | { .mfi |
d5efd131 | 2165 | nop.m 0 |
0347518d | 2166 | fma.s1 FR_e_poly = FR_e_r, FR_e_poly, FR_e_A1 |
d5efd131 MF |
2167 | // poly = r * poly + A1 |
2168 | nop.i 0 | |
2169 | };; | |
2170 | ||
0347518d | 2171 | { .mfi |
d5efd131 MF |
2172 | nop.m 0 |
2173 | fma.s1 FR_e_T_scale = FR_e_T, FR_e_scale, f0 // T_scale=T*scale | |
2174 | nop.i 0 | |
2175 | } | |
2176 | { .mfi | |
2177 | nop.m 0 | |
0347518d | 2178 | fma.s1 FR_e_W = FR_e_W2, FR_e_W1_p1, FR_e_W1 |
d5efd131 MF |
2179 | // W = W2 * (W1+1.0) + W1 |
2180 | nop.i 0 | |
2181 | };; | |
2182 | ||
0347518d | 2183 | { .mfi |
d5efd131 | 2184 | nop.m 0 |
0347518d | 2185 | (p15) fma.s1 FR_n_SinxH = FR_n_PolyH, FR_l_AbsX, FR_n_TT |
d5efd131 MF |
2186 | // sin(Pi*x) poly |
2187 | nop.i 0 | |
2188 | };; | |
2189 | ||
0347518d | 2190 | { .mfi |
d5efd131 MF |
2191 | nop.m 0 |
2192 | mov FR_e_Y_hi = FR_e_T // Assume Y_hi = T | |
2193 | nop.i 0 | |
2194 | };; | |
2195 | ||
0347518d | 2196 | { .mfi |
d5efd131 | 2197 | nop.m 0 |
0347518d | 2198 | fma.s1 FR_e_poly = FR_e_rsq, FR_e_poly, FR_e_r |
d5efd131 MF |
2199 | // poly = rsq * poly + r |
2200 | nop.i 0 | |
2201 | };; | |
2202 | ||
0347518d | 2203 | { .mfi |
d5efd131 | 2204 | nop.m 0 |
0347518d | 2205 | fma.s1 FR_e_Wp1_T_scale = FR_e_W, FR_e_T_scale, FR_e_T_scale |
d5efd131 MF |
2206 | // (W+1)*T*scale |
2207 | nop.i 0 | |
2208 | } | |
2209 | { .mfi | |
2210 | nop.m 0 | |
2211 | fma.s1 FR_e_W_T_scale = FR_e_W, FR_e_T_scale, f0 // W*T*scale | |
2212 | nop.i 0 | |
2213 | };; | |
2214 | ||
0347518d | 2215 | { .mfi |
d5efd131 MF |
2216 | nop.m 0 |
2217 | (p15) fms.s1 FR_n_SinxL = FR_n_PolyH, FR_l_AbsX, FR_n_SinxH | |
2218 | // Low part of sin | |
2219 | nop.i 0 | |
2220 | };; | |
2221 | ||
0347518d | 2222 | { .mfi |
d5efd131 MF |
2223 | nop.m 0 |
2224 | (p15) frcpa.s1 FR_n_Y0, p0 = f1, FR_n_SinxH // y = frcpa(b) | |
2225 | nop.i 0 | |
2226 | };; | |
2227 | ||
0347518d | 2228 | { .mfi |
d5efd131 MF |
2229 | nop.m 0 |
2230 | fma.s1 FR_e_result_lo = FR_e_Wp1_T_scale, FR_e_poly, FR_e_W_T_scale | |
2231 | // Low part of exp result | |
2232 | nop.i 0 | |
2233 | };; | |
2234 | ||
0347518d | 2235 | { .mfi |
d5efd131 MF |
2236 | nop.m 0 |
2237 | (p15) fma.s1 FR_n_SinxL = FR_n_SinxL, f1, FR_n_TT // sin low result | |
2238 | nop.i 0 | |
2239 | };; | |
2240 | ||
0347518d | 2241 | { .mfi |
d5efd131 MF |
2242 | nop.m 0 |
2243 | (p15) fma.s1 FR_n_Q0 = f1,FR_n_Y0,f0 // q = y | |
2244 | nop.i 0 | |
2245 | } | |
0347518d | 2246 | { .mfi |
d5efd131 | 2247 | nop.m 0 |
0347518d | 2248 | (p15) fnma.s1 FR_n_E0 = FR_n_Y0, FR_n_SinxH, f1 // e = 1-b*y |
d5efd131 MF |
2249 | nop.i 0 |
2250 | };; | |
2251 | ||
2252 | ||
0347518d | 2253 | { .mfb |
d5efd131 MF |
2254 | nop.m 0 |
2255 | (p14) fma.s0 f8 = FR_e_Y_hi, FR_e_scale, FR_e_result_lo | |
2256 | (p14) br.ret.spnt b0 // Exit for positive Stirling path ////////////////////// | |
2257 | };; | |
2258 | ||
0347518d | 2259 | { .mfi |
d5efd131 MF |
2260 | nop.m 0 |
2261 | fma.s1 FR_e_expl_Output_X = FR_e_Y_hi, FR_e_scale, f0 // exp result | |
2262 | nop.i 0 | |
2263 | } | |
2264 | { .mfi | |
2265 | nop.m 0 | |
2266 | fma.s1 FR_e_expl_Output_Y = FR_e_result_lo, f1, f0// exp lo result | |
2267 | nop.i 0 | |
2268 | };; | |
2269 | ||
0347518d | 2270 | { .mfi |
d5efd131 MF |
2271 | nop.m 0 |
2272 | fma.s1 FR_n_E2 = FR_n_E0,FR_n_E0,FR_n_E0 // e2 = e+e^2 | |
2273 | nop.i 0 | |
2274 | } | |
0347518d | 2275 | { .mfi |
d5efd131 MF |
2276 | nop.m 0 |
2277 | fma.s1 FR_n_E1 = FR_n_E0,FR_n_E0,f0 // e1 = e^2 | |
2278 | nop.i 0 | |
2279 | };; | |
2280 | ||
0347518d | 2281 | { .mfi |
d5efd131 MF |
2282 | nop.m 0 |
2283 | fma.s1 FR_n_Y1 = FR_n_Y0,FR_n_E2,FR_n_Y0 // y1 = y+y*e2 | |
2284 | nop.i 0 | |
2285 | } | |
0347518d | 2286 | { .mfi |
d5efd131 MF |
2287 | nop.m 0 |
2288 | fma.s1 FR_n_E3 = FR_n_E1,FR_n_E1,FR_n_E0 // e3 = e+e1^2 | |
2289 | nop.i 0 | |
2290 | };; | |
2291 | ||
0347518d | 2292 | { .mfi |
d5efd131 MF |
2293 | nop.m 0 |
2294 | fma.s1 FR_n_Y2 = FR_n_Y1,FR_n_E3,FR_n_Y0 // y2 = y+y1*e3 | |
2295 | nop.i 0 | |
2296 | } | |
0347518d | 2297 | { .mfi |
d5efd131 MF |
2298 | nop.m 0 |
2299 | fnma.s1 FR_n_R0 = FR_n_SinxH,FR_n_Q0,f1 // r = a-b*q | |
2300 | nop.i 0 | |
2301 | };; | |
2302 | ||
0347518d | 2303 | { .mfi |
d5efd131 MF |
2304 | nop.m 0 |
2305 | fnma.s1 FR_n_E4 = FR_n_SinxH,FR_n_Y2,f1 // e4 = 1-b*y2 | |
2306 | nop.i 0 | |
2307 | } | |
0347518d | 2308 | { .mfi |
d5efd131 MF |
2309 | nop.m 0 |
2310 | fma.s1 FR_n_RcpResH = FR_n_R0,FR_n_Y2,FR_n_Q0 // x = q+r*y2 | |
2311 | nop.i 0 | |
2312 | };; | |
2313 | ||
0347518d | 2314 | { .mfi |
d5efd131 MF |
2315 | nop.m 0 |
2316 | fma.s1 FR_n_Y3 = FR_n_Y2,FR_n_E4,FR_n_Y2 // y3 = y2+y2*e4 | |
2317 | nop.i 0 | |
2318 | } | |
0347518d | 2319 | { .mfi |
d5efd131 MF |
2320 | nop.m 0 |
2321 | fnma.s1 FR_n_R1 = FR_n_SinxH,FR_n_RcpResH,f1 // r1 = a-b*x | |
2322 | nop.i 0 | |
2323 | };; | |
2324 | ||
0347518d | 2325 | { .mfi |
d5efd131 | 2326 | nop.m 0 |
0347518d | 2327 | fnma.s1 FR_n_R1 = FR_n_SinxL,FR_n_RcpResH,FR_n_R1 |
d5efd131 MF |
2328 | // r1 = r1 - b_lo*X |
2329 | nop.i 0 | |
2330 | };; | |
2331 | ||
0347518d | 2332 | { .mfi |
d5efd131 MF |
2333 | nop.m 0 |
2334 | fma.s1 FR_n_RcpResL = FR_n_R1,FR_n_Y3,f0 // x_lo = r1*y3 | |
2335 | nop.i 0 | |
2336 | } | |
0347518d | 2337 | { .mfi |
d5efd131 MF |
2338 | nop.m 0 |
2339 | fma.s1 FR_n_Temp = FR_n_RcpResH, FR_e_expl_Output_Y, f0 | |
2340 | // Multiplying exp and sin result | |
2341 | nop.i 0 | |
2342 | };; | |
2343 | ||
0347518d | 2344 | { .mfi |
d5efd131 MF |
2345 | nop.m 0 |
2346 | fma.s1 FR_n_Temp = FR_n_RcpResL, FR_e_expl_Output_X, FR_n_Temp | |
2347 | // Multiplying exp and sin result | |
2348 | nop.i 0 | |
2349 | };; | |
2350 | ||
0347518d | 2351 | { .mfi |
d5efd131 MF |
2352 | nop.m 0 |
2353 | fma.s1 FR_n_ResH = FR_n_RcpResH, FR_e_expl_Output_X, FR_n_Temp | |
2354 | // Multiplying exp and sin result | |
2355 | nop.i 0 | |
2356 | };; | |
2357 | ||
0347518d | 2358 | { .mfi |
d5efd131 MF |
2359 | nop.m 0 |
2360 | fms.s1 FR_n_ResL = FR_n_RcpResH, FR_e_expl_Output_X, FR_n_ResH | |
2361 | // Multiplying exp and sin result | |
2362 | nop.i 0 | |
2363 | } | |
0347518d | 2364 | { .mfi |
d5efd131 MF |
2365 | nop.m 0 |
2366 | (p12) fma.s1 FR_n_ResH = FR_n_ResH, FR_n_NegOne, f0 // Negate | |
2367 | nop.i 0 | |
2368 | };; | |
2369 | ||
0347518d | 2370 | { .mfi |
d5efd131 MF |
2371 | nop.m 0 |
2372 | fma.s1 FR_n_ResL = FR_n_ResL, f1, FR_n_Temp | |
2373 | // Multiplying exp and sin result - low result obtained | |
2374 | nop.i 0 | |
2375 | };; | |
2376 | ||
2377 | .pred.rel "mutex",p12,p13 | |
0347518d | 2378 | { .mfi |
d5efd131 MF |
2379 | nop.m 0 |
2380 | (p13) fma.s0 f8 = FR_n_ResH, f1, FR_n_ResL // For odd | |
2381 | nop.i 0 | |
2382 | } | |
0347518d | 2383 | { .mfb |
d5efd131 MF |
2384 | nop.m 0 |
2385 | (p12) fms.s0 f8 = FR_n_ResH, f1, FR_n_ResL // For even | |
2386 | br.ret.sptk b0 // Exit for negative Stirling path ////////////////////// | |
2387 | };; | |
2388 | ||
2389 | ||
2390 | //////////// 1 <= |X| < 13 path //////////////////////////////////////////////// | |
2391 | //------------------------------------------------------------------------------ | |
2392 | .align 64 | |
2393 | tgamma_lt_13: | |
0347518d | 2394 | { .mfi |
d5efd131 MF |
2395 | getf.sig GR_p_XN = FR_p_IXN // Get significand |
2396 | fcvt.xf FR_p_XN = FR_p_IXN // xn = [x] | |
2397 | add GR_r_sin_Table2= 0x40, GR_r_sin_Table // Shifted table addr. | |
0347518d | 2398 | } |
d5efd131 MF |
2399 | { .mfi |
2400 | ldfpd FR_p_0p5, FR_p_1p5 = [GR_c_Table], 16 // 0.5 & 1.5 | |
2401 | fms.s1 FR_p_AbsXM1 = FR_p_AbsX, f1, f1 // X-1 | |
2402 | add GR_p_Table2 = 0xB0, GR_p_Table | |
0347518d | 2403 | };; |
d5efd131 | 2404 | |
0347518d | 2405 | { .mfi |
d5efd131 MF |
2406 | add GR_r_sin_Table = -16, GR_r_sin_Table // For compensation |
2407 | fcvt.xf FR_r_XNS = FR_r_IXNS // Convert int repr to float | |
2408 | shr.u GR_p_X_Sgnd = GR_p_X_Sgnd, 59 // Get only 5 bit of signd | |
0347518d | 2409 | };; |
d5efd131 | 2410 | |
0347518d | 2411 | { .mfi |
d5efd131 MF |
2412 | ldfpd FR_r_A2H,FR_r_A2L = [GR_r_sin_Table], 16 // Load A2 |
2413 | nop.f 0 | |
0347518d MF |
2414 | add GR_p_Int = -2, GR_p_XN // int = int - 2 |
2415 | } | |
d5efd131 | 2416 | { .mfi |
0347518d | 2417 | ldfe FR_r_A6 = [GR_r_sin_Table2], 16 |
d5efd131 MF |
2418 | nop.f 0 |
2419 | cmp.gtu p11, p12 = 0x2, GR_p_XN // p11: x < 2 (splitted intervals), | |
2420 | // p12: x > 2 (base intervals) | |
0347518d | 2421 | };; |
d5efd131 | 2422 | |
0347518d MF |
2423 | { .mfi |
2424 | ldfpd FR_r_A1H, FR_r_A1L = [GR_r_sin_Table], 16 | |
d5efd131 MF |
2425 | nop.f 0 |
2426 | shr GR_p_Int = GR_p_Int, 1 // int/2 | |
0347518d | 2427 | } |
d5efd131 | 2428 | { .mfi |
0347518d | 2429 | ldfe FR_r_A5 = [GR_r_sin_Table2], 16 |
d5efd131 MF |
2430 | nop.f 0 |
2431 | (p11) cmp.gtu.unc p10, p11 = 0x1C, GR_p_X_Sgnd // sgnd(x) < 0.75 | |
0347518d | 2432 | };; |
d5efd131 | 2433 | |
0347518d MF |
2434 | { .mfi |
2435 | ldfe FR_r_A9 = [GR_r_sin_Table], 16 | |
d5efd131 MF |
2436 | nop.f 0 |
2437 | shl GR_p_Offset = GR_p_Int, 4 // offset = int*16 | |
0347518d | 2438 | } |
d5efd131 | 2439 | { .mfi |
0347518d | 2440 | ldfe FR_r_A4 = [GR_r_sin_Table2], 16 |
d5efd131 MF |
2441 | nop.f 0 |
2442 | (p10) cmp.gtu.unc p9, p10 = 0x14, GR_p_X_Sgnd // sgnd(x) < 0.25 | |
0347518d | 2443 | };; |
d5efd131 MF |
2444 | |
2445 | ||
0347518d MF |
2446 | { .mfi |
2447 | ldfe FR_r_A8 = [GR_r_sin_Table], 16 | |
d5efd131 MF |
2448 | nop.f 0 |
2449 | (p12) tbit.nz.unc p13, p12 = GR_p_XN, 0x0 // p13: reccurent computations | |
2450 | // X is at [3;4], [5;6], [7;8]... interval | |
0347518d | 2451 | } |
d5efd131 | 2452 | { .mfi |
0347518d | 2453 | ldfe FR_r_A3 = [GR_r_sin_Table2], 16 |
d5efd131 MF |
2454 | nop.f 0 |
2455 | shladd GR_p_Offset = GR_p_Int, 2, GR_p_Offset // +int*4 | |
0347518d | 2456 | };; |
d5efd131 MF |
2457 | |
2458 | .pred.rel "mutex",p9,p11 | |
0347518d MF |
2459 | { .mfi |
2460 | add GR_p_Offset = GR_p_Int, GR_p_Offset | |
d5efd131 MF |
2461 | // +int, so offset = int*21 |
2462 | (p9) fms.s1 FR_p_XR = FR_p_AbsX, f1, f1 // r = x-1 | |
0347518d MF |
2463 | nop.i 0 |
2464 | } | |
d5efd131 | 2465 | { .mfi |
0347518d MF |
2466 | ldfe FR_r_A7 = [GR_r_sin_Table], 16 |
2467 | (p11) fms.s1 FR_p_XR = FR_p_2, f1, FR_p_AbsX | |
d5efd131 | 2468 | // r = 2-x for 1.75 < x < 2 |
0347518d MF |
2469 | nop.i 0 |
2470 | };; | |
d5efd131 MF |
2471 | |
2472 | .pred.rel "mutex",p9,p10 | |
2473 | .pred.rel "mutex",p10,p11 | |
2474 | .pred.rel "mutex",p9,p11 | |
0347518d | 2475 | { .mfi |
d5efd131 | 2476 | (p9) add GR_p_Offset = 126, r0 // 1.0 < x < 1.25 table |
0347518d | 2477 | (p15) fcmp.eq.unc.s1 p7,p0 = FR_p_AbsX, FR_p_XN |
d5efd131 | 2478 | // If arg is integer and negative - singularity branch |
0347518d | 2479 | nop.i 0 |
d5efd131 | 2480 | } |
0347518d | 2481 | { .mfi |
d5efd131 MF |
2482 | (p10) add GR_p_Offset = 147, r0 // 1.25 < x < 1.75 table |
2483 | nop.f 0 | |
2484 | (p11) add GR_p_Offset = 168, r0 // 1.75 < x < 2.0 table | |
0347518d | 2485 | };; |
d5efd131 | 2486 | |
0347518d MF |
2487 | { .mmf |
2488 | shladd GR_p_Table = GR_p_Offset, 4, GR_p_Table | |
d5efd131 MF |
2489 | shladd GR_p_Table2 = GR_p_Offset, 4, GR_p_Table2 |
2490 | fma.s1 FR_r_XS = FR_r_AbsX , f1, FR_r_XNS // xs = x - [x] | |
0347518d | 2491 | };; |
d5efd131 | 2492 | |
0347518d MF |
2493 | { .mmb |
2494 | ldfpd FR_p_A5H, FR_p_A5L = [GR_p_Table], 16 | |
2495 | ldfpd FR_p_A2H, FR_p_A2L = [GR_p_Table2], 16 | |
d5efd131 MF |
2496 | (p7) br.cond.spnt tgammal_singularity // Singularity for integer ///////////// |
2497 | // and negative argument /////////////// | |
2498 | };; | |
2499 | ||
0347518d MF |
2500 | { .mfi |
2501 | ldfpd FR_p_A4H, FR_p_A4L = [GR_p_Table], 16 | |
d5efd131 | 2502 | fma.s1 FR_p_XN = FR_p_XN, f1, FR_p_0p5 // xn = xn+0.5 |
0347518d | 2503 | nop.i 0 |
d5efd131 | 2504 | } |
0347518d MF |
2505 | { .mfi |
2506 | ldfpd FR_p_A1H, FR_p_A1L = [GR_p_Table2], 16 | |
d5efd131 | 2507 | (p10) fms.s1 FR_p_XR = FR_p_AbsX, f1, FR_p_1p5 // r = x - 1.5 |
0347518d | 2508 | nop.i 0 |
d5efd131 MF |
2509 | };; |
2510 | ||
0347518d MF |
2511 | { .mmi |
2512 | ldfpd FR_p_A3H, FR_p_A3L = [GR_p_Table], 16 | |
2513 | ldfpd FR_p_A0H, FR_p_A0L = [GR_p_Table2], 16 | |
d5efd131 MF |
2514 | nop.i 0 |
2515 | };; | |
2516 | ||
0347518d MF |
2517 | { .mmi |
2518 | ldfe FR_p_A20 = [GR_p_Table], 16 | |
2519 | ldfe FR_p_A12 = [GR_p_Table2], 16 | |
d5efd131 MF |
2520 | nop.i 0 |
2521 | };; | |
2522 | ||
0347518d MF |
2523 | { .mmf |
2524 | ldfe FR_p_A19 = [GR_p_Table], 16 | |
2525 | ldfe FR_p_A11 = [GR_p_Table2], 16 | |
d5efd131 MF |
2526 | fma.s1 FR_r_XS2 = FR_r_XS, FR_r_XS, f0 // xs2 = xs*xs |
2527 | };; | |
2528 | ||
0347518d MF |
2529 | { .mmi |
2530 | ldfe FR_p_A18 = [GR_p_Table], 16 | |
2531 | ldfe FR_p_A10 = [GR_p_Table2], 16 | |
d5efd131 MF |
2532 | nop.i 0 |
2533 | };; | |
2534 | ||
2535 | .pred.rel "mutex",p12,p13 | |
0347518d MF |
2536 | { .mfi |
2537 | ldfe FR_p_A17 = [GR_p_Table], 16 | |
d5efd131 | 2538 | (p12) fms.s1 FR_p_XR = FR_p_AbsX, f1, FR_p_XN // r = x - xn |
0347518d | 2539 | nop.i 0 |
d5efd131 | 2540 | } |
0347518d | 2541 | { .mfi |
d5efd131 MF |
2542 | ldfe FR_p_A9 = [GR_p_Table2], 16 |
2543 | (p13) fms.s1 FR_p_XR = FR_p_AbsX, f1, FR_p_XN | |
0347518d | 2544 | nop.i 0 |
d5efd131 MF |
2545 | };; |
2546 | ||
0347518d MF |
2547 | { .mmi |
2548 | ldfe FR_p_A16 = [GR_p_Table], 16 | |
2549 | ldfe FR_p_A8 = [GR_p_Table2], 16 | |
d5efd131 MF |
2550 | (p9) cmp.eq p12, p0 = r0, r0 // clear p12 |
2551 | };; | |
2552 | ||
0347518d MF |
2553 | { .mmi |
2554 | ldfe FR_p_A15 = [GR_p_Table], 16 | |
2555 | ldfe FR_p_A7 = [GR_p_Table2], 16 | |
d5efd131 MF |
2556 | (p10) cmp.eq p12, p0 = r0, r0 // clear p12 |
2557 | };; | |
2558 | ||
0347518d MF |
2559 | { .mfi |
2560 | ldfe FR_p_A14 = [GR_p_Table], 16 | |
d5efd131 MF |
2561 | fma.s1 FR_r_TH = FR_r_A2H, FR_r_XS2, f0 // sin for neg |
2562 | (p11) cmp.eq p12, p0 = r0, r0 // clear p12 | |
2563 | } | |
0347518d | 2564 | { .mfi |
d5efd131 MF |
2565 | ldfe FR_p_A6 = [GR_p_Table2], 16 |
2566 | fma.s1 FR_r_TL = FR_r_A2L, FR_r_XS2, f0 // sin for neg | |
0347518d | 2567 | nop.i 0 |
d5efd131 MF |
2568 | };; |
2569 | ||
0347518d | 2570 | { .mfi |
d5efd131 MF |
2571 | ldfe FR_p_A13 = [GR_p_Table], 16 |
2572 | fms.s1 FR_r_XS2L = FR_r_XS, FR_r_XS, FR_r_XS2 // x2Lo part | |
0347518d | 2573 | nop.i 0 |
d5efd131 MF |
2574 | };; |
2575 | ||
0347518d MF |
2576 | { .mfi |
2577 | nop.m 0 | |
d5efd131 MF |
2578 | fma.s1 FR_p_Temp5H = FR_p_A5H, FR_p_XR, f0 // A5H*r |
2579 | // 'Low poly' | |
0347518d | 2580 | nop.i 0 |
d5efd131 | 2581 | } |
0347518d MF |
2582 | { .mfi |
2583 | nop.m 0 | |
d5efd131 | 2584 | fma.s1 FR_p_XR2 = FR_p_XR, FR_p_XR, f0 // r^2 = r*r |
0347518d | 2585 | nop.i 0 |
d5efd131 MF |
2586 | };; |
2587 | ||
0347518d MF |
2588 | { .mfi |
2589 | nop.m 0 | |
d5efd131 | 2590 | fabs FR_r_XS = FR_r_XS // abs(xs) |
0347518d | 2591 | nop.i 0 |
d5efd131 | 2592 | } |
0347518d MF |
2593 | { .mfi |
2594 | nop.m 0 | |
2595 | fma.s1 FR_p_Temp2H = FR_p_A2H, FR_p_XR, f0 // A2H*r | |
d5efd131 | 2596 | // 'High poly' |
0347518d | 2597 | nop.i 0 |
d5efd131 MF |
2598 | };; |
2599 | ||
0347518d MF |
2600 | { .mfi |
2601 | nop.m 0 | |
d5efd131 | 2602 | fms.s1 FR_r_TT = FR_r_A2H, FR_r_XS2, FR_r_TH // sin for neg |
0347518d | 2603 | nop.i 0 |
d5efd131 | 2604 | } |
0347518d MF |
2605 | { .mfi |
2606 | nop.m 0 | |
d5efd131 | 2607 | fma.s1 FR_r_ResH = FR_r_TH, f1, FR_r_A1H // sin for neg |
0347518d | 2608 | nop.i 0 |
d5efd131 MF |
2609 | };; |
2610 | ||
0347518d MF |
2611 | { .mfi |
2612 | nop.m 0 | |
d5efd131 | 2613 | fma.s1 FR_r_TL = FR_r_A2H, FR_r_XS2L, FR_r_TL // sin for neg |
0347518d | 2614 | nop.i 0 |
d5efd131 MF |
2615 | };; |
2616 | ||
0347518d MF |
2617 | { .mfi |
2618 | nop.m 0 | |
d5efd131 MF |
2619 | fms.s1 FR_p_Temp5L = FR_p_A5H,FR_p_XR,FR_p_Temp5H //A5H*r delta |
2620 | // 'Low poly' | |
0347518d | 2621 | nop.i 0 |
d5efd131 | 2622 | } |
0347518d MF |
2623 | { .mfi |
2624 | nop.m 0 | |
d5efd131 MF |
2625 | fma.s1 FR_p_Poly5H = FR_p_Temp5H, f1, FR_p_A4H // A5H*r+A4H |
2626 | // 'Low poly' | |
0347518d | 2627 | nop.i 0 |
d5efd131 MF |
2628 | };; |
2629 | ||
0347518d MF |
2630 | { .mfi |
2631 | nop.m 0 | |
d5efd131 MF |
2632 | fms.s1 FR_p_Temp2L = FR_p_A2H, FR_p_XR, FR_p_Temp2H//A2H*r delta |
2633 | //'High poly' | |
0347518d | 2634 | nop.i 0 |
d5efd131 | 2635 | } |
0347518d MF |
2636 | { .mfi |
2637 | nop.m 0 | |
d5efd131 MF |
2638 | fma.s1 FR_p_Poly2H = FR_p_Temp2H, f1, FR_p_A1H // A2H*r+A1H |
2639 | //'High poly' | |
0347518d | 2640 | nop.i 0 |
d5efd131 MF |
2641 | };; |
2642 | ||
0347518d MF |
2643 | { .mfi |
2644 | nop.m 0 | |
d5efd131 | 2645 | fma.s1 FR_p_XR3 = FR_p_XR2, FR_p_XR, f0 // r^3 = r^2*r |
0347518d | 2646 | nop.i 0 |
d5efd131 | 2647 | } |
0347518d MF |
2648 | { .mfi |
2649 | nop.m 0 | |
d5efd131 | 2650 | fms.s1 FR_p_XR2L = FR_p_XR, FR_p_XR, FR_p_XR2 // r^2 delta |
0347518d | 2651 | nop.i 0 |
d5efd131 MF |
2652 | };; |
2653 | ||
0347518d MF |
2654 | { .mfi |
2655 | nop.m 0 | |
d5efd131 | 2656 | fma.s1 FR_p_A18 = FR_p_A19, FR_p_XR, FR_p_A18 // Poly tail |
0347518d | 2657 | nop.i 0 |
d5efd131 | 2658 | } |
0347518d MF |
2659 | { .mfi |
2660 | nop.m 0 | |
d5efd131 | 2661 | fma.s1 FR_p_A14 = FR_p_A15, FR_p_XR, FR_p_A14 // Poly tail |
0347518d | 2662 | nop.i 0 |
d5efd131 MF |
2663 | };; |
2664 | ||
0347518d MF |
2665 | { .mfi |
2666 | nop.m 0 | |
d5efd131 | 2667 | fma.s1 FR_p_XR4 = FR_p_XR2, FR_p_XR2, f0 // r^4 = r^2*r^2 |
0347518d | 2668 | nop.i 0 |
d5efd131 MF |
2669 | };; |
2670 | ||
0347518d MF |
2671 | { .mfi |
2672 | nop.m 0 | |
d5efd131 MF |
2673 | fma.s1 FR_p_Temp5L = FR_p_A5L, FR_p_XR, FR_p_Temp5L// Low part |
2674 | // of A5*r+A4 | |
0347518d | 2675 | nop.i 0 |
d5efd131 | 2676 | } |
0347518d MF |
2677 | { .mfi |
2678 | nop.m 0 | |
d5efd131 MF |
2679 | fms.s1 FR_p_Poly5L = FR_p_A4H, f1, FR_p_Poly5H // Low part |
2680 | // of A5*r+A4 | |
0347518d | 2681 | nop.i 0 |
d5efd131 MF |
2682 | };; |
2683 | ||
0347518d MF |
2684 | { .mfi |
2685 | nop.m 0 | |
d5efd131 | 2686 | fma.s1 FR_p_Temp4H = FR_p_Poly5H, FR_p_XR, f0 // (A5H*r+A4H)*r |
0347518d | 2687 | nop.i 0 |
d5efd131 | 2688 | } |
0347518d MF |
2689 | { .mfi |
2690 | nop.m 0 | |
d5efd131 | 2691 | fma.s1 FR_p_Temp2L = FR_p_A2L, FR_p_XR, FR_p_Temp2L // A2*r low |
0347518d | 2692 | nop.i 0 |
d5efd131 MF |
2693 | };; |
2694 | ||
0347518d MF |
2695 | { .mfi |
2696 | nop.m 0 | |
d5efd131 | 2697 | fms.s1 FR_p_Poly2L = FR_p_A1H, f1, FR_p_Poly2H // High poly |
0347518d | 2698 | nop.i 0 |
d5efd131 | 2699 | } |
0347518d MF |
2700 | { .mfi |
2701 | nop.m 0 | |
d5efd131 | 2702 | fma.s1 FR_p_Temp1H = FR_p_Poly2H, FR_p_XR, f0 // High poly |
0347518d | 2703 | nop.i 0 |
d5efd131 MF |
2704 | };; |
2705 | ||
0347518d MF |
2706 | { .mfi |
2707 | nop.m 0 | |
d5efd131 | 2708 | fms.s1 FR_p_XR3L = FR_p_XR2, FR_p_XR, FR_p_XR3 // x^3 delta |
0347518d | 2709 | nop.i 0 |
d5efd131 | 2710 | } |
0347518d MF |
2711 | { .mfi |
2712 | nop.m 0 | |
d5efd131 | 2713 | fma.s1 FR_p_A16 = FR_p_A17, FR_p_XR, FR_p_A16 // Poly tail |
0347518d | 2714 | nop.i 0 |
d5efd131 MF |
2715 | };; |
2716 | ||
0347518d MF |
2717 | { .mfi |
2718 | nop.m 0 | |
d5efd131 | 2719 | fms.s1 FR_r_ResL = FR_r_A1H, f1, FR_r_ResH // sin for neg |
0347518d | 2720 | nop.i 0 |
d5efd131 | 2721 | } |
0347518d MF |
2722 | { .mfi |
2723 | nop.m 0 | |
d5efd131 | 2724 | fma.s1 FR_r_TL = FR_r_TL, f1, FR_r_TT // sin for neg |
0347518d | 2725 | nop.i 0 |
d5efd131 MF |
2726 | };; |
2727 | ||
0347518d MF |
2728 | { .mfi |
2729 | nop.m 0 | |
d5efd131 | 2730 | fma.s1 FR_p_Temp5L = FR_p_Temp5L, f1, FR_p_A4L // Low poly |
0347518d | 2731 | nop.i 0 |
d5efd131 | 2732 | } |
0347518d MF |
2733 | { .mfi |
2734 | nop.m 0 | |
d5efd131 | 2735 | fma.s1 FR_p_Poly5L = FR_p_Poly5L, f1, FR_p_Temp5H // Low poly |
0347518d | 2736 | nop.i 0 |
d5efd131 MF |
2737 | };; |
2738 | ||
0347518d MF |
2739 | { .mfi |
2740 | nop.m 0 | |
d5efd131 | 2741 | fms.s1 FR_p_Temp4L = FR_p_Poly5H,FR_p_XR,FR_p_Temp4H //Low poly |
0347518d | 2742 | nop.i 0 |
d5efd131 | 2743 | } |
0347518d MF |
2744 | { .mfi |
2745 | nop.m 0 | |
d5efd131 | 2746 | fma.s1 FR_p_Poly4H = FR_p_Temp4H, f1, FR_p_A3H // Low poly |
0347518d | 2747 | nop.i 0 |
d5efd131 MF |
2748 | };; |
2749 | ||
0347518d MF |
2750 | { .mfi |
2751 | nop.m 0 | |
d5efd131 | 2752 | fma.s1 FR_p_Temp2L = FR_p_Temp2L, f1, FR_p_A1L // High poly |
0347518d | 2753 | nop.i 0 |
d5efd131 | 2754 | } |
0347518d MF |
2755 | { .mfi |
2756 | nop.m 0 | |
d5efd131 | 2757 | fma.s1 FR_p_Poly2L = FR_p_Poly2L, f1, FR_p_Temp2H // High poly |
0347518d | 2758 | nop.i 0 |
d5efd131 MF |
2759 | };; |
2760 | ||
0347518d MF |
2761 | { .mfi |
2762 | nop.m 0 | |
d5efd131 | 2763 | fms.s1 FR_p_Temp1L = FR_p_Poly2H,FR_p_XR,FR_p_Temp1H //High poly |
0347518d | 2764 | nop.i 0 |
d5efd131 | 2765 | } |
0347518d MF |
2766 | { .mfi |
2767 | nop.m 0 | |
d5efd131 | 2768 | fma.s1 FR_p_Poly1H = FR_p_Temp1H, f1, FR_p_A0H // High poly |
0347518d | 2769 | nop.i 0 |
d5efd131 MF |
2770 | };; |
2771 | ||
0347518d MF |
2772 | { .mfi |
2773 | nop.m 0 | |
d5efd131 | 2774 | fma.s1 FR_p_A12 = FR_p_A13, FR_p_XR, FR_p_A12 // Poly tail |
0347518d | 2775 | nop.i 0 |
d5efd131 | 2776 | } |
0347518d MF |
2777 | { .mfi |
2778 | nop.m 0 | |
d5efd131 | 2779 | fma.s1 FR_p_XR3L = FR_p_XR2L, FR_p_XR, FR_p_XR3L // x^3 low |
0347518d | 2780 | nop.i 0 |
d5efd131 MF |
2781 | };; |
2782 | ||
0347518d MF |
2783 | { .mfi |
2784 | nop.m 0 | |
d5efd131 | 2785 | fma.s1 FR_p_Poly5L = FR_p_Poly5L, f1, FR_p_Temp5L // Low poly |
0347518d | 2786 | nop.i 0 |
d5efd131 | 2787 | } |
0347518d MF |
2788 | { .mfi |
2789 | nop.m 0 | |
d5efd131 | 2790 | fma.s1 FR_p_A10 = FR_p_A11, FR_p_XR, FR_p_A10 // Poly tail |
0347518d | 2791 | nop.i 0 |
d5efd131 MF |
2792 | };; |
2793 | ||
0347518d MF |
2794 | { .mfi |
2795 | nop.m 0 | |
d5efd131 | 2796 | fms.s1 FR_p_Poly4L = FR_p_A3H, f1, FR_p_Poly4H // Low poly |
0347518d | 2797 | nop.i 0 |
d5efd131 | 2798 | } |
0347518d MF |
2799 | { .mfi |
2800 | nop.m 0 | |
d5efd131 | 2801 | fma.s1 FR_p_A6 = FR_p_A7, FR_p_XR, FR_p_A6 // Poly tail |
0347518d | 2802 | nop.i 0 |
d5efd131 MF |
2803 | };; |
2804 | ||
0347518d MF |
2805 | { .mfi |
2806 | nop.m 0 | |
d5efd131 | 2807 | fma.s1 FR_p_A8 = FR_p_A9, FR_p_XR, FR_p_A8 // Poly tail |
0347518d | 2808 | nop.i 0 |
d5efd131 | 2809 | } |
0347518d MF |
2810 | { .mfi |
2811 | nop.m 0 | |
d5efd131 | 2812 | fma.s1 FR_p_XR6 = FR_p_XR4, FR_p_XR2, f0 // Poly tail |
0347518d | 2813 | nop.i 0 |
d5efd131 MF |
2814 | };; |
2815 | ||
0347518d MF |
2816 | { .mfi |
2817 | nop.m 0 | |
d5efd131 | 2818 | fma.s1 FR_p_Poly2L = FR_p_Poly2L, f1, FR_p_Temp2L // High poly |
0347518d | 2819 | nop.i 0 |
d5efd131 | 2820 | } |
0347518d MF |
2821 | { .mfi |
2822 | nop.m 0 | |
d5efd131 | 2823 | fms.s1 FR_p_Poly1L = FR_p_A0H, f1, FR_p_Poly1H // High poly |
0347518d | 2824 | nop.i 0 |
d5efd131 MF |
2825 | };; |
2826 | ||
0347518d MF |
2827 | { .mfi |
2828 | nop.m 0 | |
d5efd131 | 2829 | fma.s1 FR_r_ResL = FR_r_ResL, f1, FR_r_TH // sin for neg |
0347518d | 2830 | nop.i 0 |
d5efd131 | 2831 | } |
0347518d MF |
2832 | { .mfi |
2833 | nop.m 0 | |
d5efd131 | 2834 | fma.s1 FR_r_TT = FR_r_TL, f1, FR_r_A1L // sin for neg |
0347518d | 2835 | nop.i 0 |
d5efd131 MF |
2836 | };; |
2837 | ||
0347518d MF |
2838 | { .mfi |
2839 | nop.m 0 | |
d5efd131 | 2840 | fma.s1 FR_p_Temp4L = FR_p_Poly5L,FR_p_XR,FR_p_Temp4L // Low poly |
0347518d | 2841 | nop.i 0 |
d5efd131 | 2842 | } |
0347518d MF |
2843 | { .mfi |
2844 | nop.m 0 | |
d5efd131 | 2845 | fma.s1 FR_p_A18 = FR_p_A20, FR_p_XR2, FR_p_A18 // Poly tail |
0347518d | 2846 | nop.i 0 |
d5efd131 MF |
2847 | };; |
2848 | ||
0347518d MF |
2849 | { .mfi |
2850 | nop.m 0 | |
d5efd131 | 2851 | fma.s1 FR_p_Poly4L = FR_p_Poly4L, f1, FR_p_Temp4H // Low poly |
0347518d | 2852 | nop.i 0 |
d5efd131 | 2853 | } |
0347518d MF |
2854 | { .mfi |
2855 | nop.m 0 | |
d5efd131 | 2856 | fma.s1 FR_p_A14 = FR_p_A16, FR_p_XR2, FR_p_A14 // Poly tail |
0347518d | 2857 | nop.i 0 |
d5efd131 MF |
2858 | };; |
2859 | ||
0347518d MF |
2860 | { .mfi |
2861 | nop.m 0 | |
d5efd131 | 2862 | fma.s1 FR_p_A6 = FR_p_A8, FR_p_XR2, FR_p_A6 // Poly tail |
0347518d | 2863 | nop.i 0 |
d5efd131 | 2864 | } |
0347518d MF |
2865 | { .mfi |
2866 | nop.m 0 | |
d5efd131 | 2867 | fma.s1 FR_p_A10 = FR_p_A12, FR_p_XR2, FR_p_A10 // Poly tail |
0347518d | 2868 | nop.i 0 |
d5efd131 MF |
2869 | };; |
2870 | ||
0347518d MF |
2871 | { .mfi |
2872 | nop.m 0 | |
d5efd131 | 2873 | fma.s1 FR_p_Temp1L = FR_p_Poly2L,FR_p_XR,FR_p_Temp1L //High poly |
0347518d | 2874 | nop.i 0 |
d5efd131 | 2875 | } |
0347518d MF |
2876 | { .mfi |
2877 | nop.m 0 | |
d5efd131 | 2878 | fma.s1 FR_p_Poly1L = FR_p_Poly1L, f1, FR_p_Temp1H // High poly |
0347518d | 2879 | nop.i 0 |
d5efd131 MF |
2880 | };; |
2881 | ||
0347518d MF |
2882 | { .mfi |
2883 | nop.m 0 | |
d5efd131 | 2884 | fma.s1 FR_r_ResL = FR_r_ResL, f1, FR_r_TT // sin for neg |
0347518d | 2885 | nop.i 0 |
d5efd131 | 2886 | } |
0347518d MF |
2887 | { .mfi |
2888 | nop.m 0 | |
d5efd131 | 2889 | fma.s1 FR_r_TH = FR_r_ResH, FR_r_XS2, f0 // sin for neg |
0347518d | 2890 | nop.i 0 |
d5efd131 MF |
2891 | };; |
2892 | ||
0347518d MF |
2893 | { .mfi |
2894 | nop.m 0 | |
d5efd131 | 2895 | fma.s1 FR_p_Temp4L = FR_p_Temp4L, f1, FR_p_A3L // Low poly |
0347518d | 2896 | nop.i 0 |
d5efd131 | 2897 | } |
0347518d MF |
2898 | { .mfi |
2899 | nop.m 0 | |
d5efd131 | 2900 | fma.s1 FR_p_Poly3H = FR_p_Poly4H, FR_p_XR3, f0 // Low poly |
0347518d | 2901 | nop.i 0 |
d5efd131 MF |
2902 | };; |
2903 | ||
0347518d MF |
2904 | { .mfi |
2905 | nop.m 0 | |
d5efd131 | 2906 | fma.s1 FR_p_A14 = FR_p_A18, FR_p_XR4, FR_p_A14 // Poly tail |
0347518d | 2907 | nop.i 0 |
d5efd131 | 2908 | } |
0347518d MF |
2909 | { .mfi |
2910 | nop.m 0 | |
d5efd131 | 2911 | fma.s1 FR_p_XR8 = FR_p_XR4, FR_p_XR4, f0 // Poly tail |
0347518d | 2912 | nop.i 0 |
d5efd131 MF |
2913 | };; |
2914 | ||
0347518d MF |
2915 | { .mfi |
2916 | nop.m 0 | |
d5efd131 | 2917 | fma.s1 FR_r_TL = FR_r_ResH, FR_r_XS2L, f0 // sin for neg |
0347518d | 2918 | nop.i 0 |
d5efd131 MF |
2919 | };; |
2920 | ||
0347518d MF |
2921 | { .mfi |
2922 | nop.m 0 | |
d5efd131 | 2923 | fma.s1 FR_p_Temp1L = FR_p_Temp1L, f1, FR_p_A0L // High poly |
0347518d | 2924 | nop.i 0 |
d5efd131 | 2925 | } |
0347518d MF |
2926 | { .mfi |
2927 | nop.m 0 | |
d5efd131 | 2928 | fma.s1 FR_p_A6 = FR_p_A10, FR_p_XR4, FR_p_A6 // Poly tail |
0347518d | 2929 | nop.i 0 |
d5efd131 MF |
2930 | };; |
2931 | ||
0347518d MF |
2932 | { .mfi |
2933 | nop.m 0 | |
d5efd131 | 2934 | fms.s1 FR_r_TT = FR_r_ResH, FR_r_XS2, FR_r_TH // sin for neg |
0347518d | 2935 | nop.i 0 |
d5efd131 | 2936 | } |
0347518d MF |
2937 | { .mfi |
2938 | nop.m 0 | |
d5efd131 | 2939 | fma.s1 FR_r_Res3H = FR_r_TH, f1, f1 // sin for neg |
0347518d | 2940 | nop.i 0 |
d5efd131 MF |
2941 | };; |
2942 | ||
0347518d MF |
2943 | { .mfi |
2944 | nop.m 0 | |
d5efd131 | 2945 | fma.s1 FR_p_Poly4L = FR_p_Poly4L, f1, FR_p_Temp4L // Low poly |
0347518d | 2946 | nop.i 0 |
d5efd131 | 2947 | } |
0347518d MF |
2948 | { .mfi |
2949 | nop.m 0 | |
d5efd131 | 2950 | fma.s1 FR_p_Poly3L = FR_p_Poly4H, FR_p_XR3L, f0 // Low poly |
0347518d | 2951 | nop.i 0 |
d5efd131 MF |
2952 | };; |
2953 | ||
0347518d MF |
2954 | { .mfi |
2955 | nop.m 0 | |
d5efd131 | 2956 | fma.s1 FR_p_Poly0H = FR_p_Poly3H,f1,FR_p_Poly1H //Low & High add |
0347518d | 2957 | nop.i 0 |
d5efd131 | 2958 | } |
0347518d MF |
2959 | { .mfi |
2960 | nop.m 0 | |
d5efd131 | 2961 | fma.s1 FR_r_A7 = FR_r_A8, FR_r_XS2, FR_r_A7 // sin for neg |
0347518d | 2962 | nop.i 0 |
d5efd131 MF |
2963 | };; |
2964 | ||
0347518d MF |
2965 | { .mfi |
2966 | nop.m 0 | |
d5efd131 | 2967 | fma.s1 FR_r_TL = FR_r_ResL, FR_r_XS2, FR_r_TL // sin for neg |
0347518d | 2968 | nop.i 0 |
d5efd131 | 2969 | } |
0347518d MF |
2970 | { .mfi |
2971 | nop.m 0 | |
d5efd131 | 2972 | fma.s1 FR_r_XS4 = FR_r_XS2, FR_r_XS2, f0 // sin for neg |
0347518d | 2973 | nop.i 0 |
d5efd131 MF |
2974 | };; |
2975 | ||
0347518d MF |
2976 | { .mfi |
2977 | nop.m 0 | |
d5efd131 | 2978 | fma.s1 FR_p_Poly1L = FR_p_Poly1L, f1, FR_p_Temp1L // High poly |
0347518d | 2979 | nop.i 0 |
d5efd131 | 2980 | } |
0347518d MF |
2981 | { .mfi |
2982 | nop.m 0 | |
d5efd131 | 2983 | fma.s1 FR_p_PolyTail = FR_p_A14, FR_p_XR8, FR_p_A6 // Poly tail |
0347518d | 2984 | nop.i 0 |
d5efd131 MF |
2985 | };; |
2986 | ||
0347518d MF |
2987 | { .mfi |
2988 | nop.m 0 | |
d5efd131 | 2989 | fms.s1 FR_r_Res3L = f1, f1, FR_r_Res3H // sin for neg |
0347518d | 2990 | nop.i 0 |
d5efd131 | 2991 | } |
0347518d MF |
2992 | { .mfi |
2993 | nop.m 0 | |
d5efd131 | 2994 | fma.s1 FR_r_ResH = FR_r_Res3H, FR_r_XS, f0 // sin for neg |
0347518d | 2995 | nop.i 0 |
d5efd131 MF |
2996 | };; |
2997 | ||
0347518d MF |
2998 | { .mfi |
2999 | nop.m 0 | |
d5efd131 | 3000 | fms.s1 FR_p_Temp0L = FR_p_Poly4H,FR_p_XR3,FR_p_Poly3H //Low poly |
0347518d | 3001 | nop.i 0 |
d5efd131 | 3002 | } |
0347518d MF |
3003 | { .mfi |
3004 | nop.m 0 | |
d5efd131 | 3005 | fma.s1 FR_p_Poly3L = FR_p_Poly4L,FR_p_XR3,FR_p_Poly3L //Low poly |
0347518d | 3006 | nop.i 0 |
d5efd131 MF |
3007 | };; |
3008 | ||
3009 | { .mfi | |
0347518d | 3010 | nop.m 0 |
d5efd131 | 3011 | fms.s1 FR_p_Poly0L = FR_p_Poly1H,f1,FR_p_Poly0H //Low & High add |
0347518d | 3012 | nop.i 0 |
d5efd131 | 3013 | } |
0347518d MF |
3014 | { .mfi |
3015 | nop.m 0 | |
3016 | (p13) fma.s1 FR_p_OddPoly0H = FR_p_Poly0H, FR_p_AbsXM1, f0 | |
d5efd131 | 3017 | // Reccurent computations - multiplying by X-1 |
0347518d | 3018 | nop.i 0 |
d5efd131 MF |
3019 | };; |
3020 | ||
0347518d MF |
3021 | { .mfi |
3022 | nop.m 0 | |
d5efd131 | 3023 | fma.s1 FR_r_TL = FR_r_TL, f1, FR_r_TT // sin for neg |
0347518d | 3024 | nop.i 0 |
d5efd131 | 3025 | } |
0347518d MF |
3026 | { .mfi |
3027 | nop.m 0 | |
d5efd131 | 3028 | fma.s1 FR_r_A3 = FR_r_A4, FR_r_XS2, FR_r_A3 // sin for neg |
0347518d | 3029 | nop.i 0 |
d5efd131 MF |
3030 | };; |
3031 | ||
0347518d MF |
3032 | { .mfi |
3033 | nop.m 0 | |
d5efd131 | 3034 | fma.s1 FR_p_Poly1L = FR_p_PolyTail,FR_p_XR6,FR_p_Poly1L//High |
0347518d | 3035 | nop.i 0 |
d5efd131 | 3036 | } |
0347518d MF |
3037 | { .mfi |
3038 | nop.m 0 | |
d5efd131 | 3039 | fma.s1 FR_r_A5 = FR_r_A6, FR_r_XS2, FR_r_A5 // sin for neg |
0347518d | 3040 | nop.i 0 |
d5efd131 MF |
3041 | };; |
3042 | ||
0347518d MF |
3043 | { .mfi |
3044 | nop.m 0 | |
d5efd131 | 3045 | fma.s1 FR_r_Res3L = FR_r_Res3L, f1, FR_r_TH // sin for neg |
0347518d | 3046 | nop.i 0 |
d5efd131 | 3047 | } |
0347518d MF |
3048 | { .mfi |
3049 | nop.m 0 | |
d5efd131 | 3050 | fms.s1 FR_r_ResL = FR_r_Res3H, FR_r_XS, FR_r_ResH//sin for neg |
0347518d | 3051 | nop.i 0 |
d5efd131 MF |
3052 | };; |
3053 | ||
3054 | { .mfi | |
0347518d | 3055 | nop.m 0 |
d5efd131 | 3056 | fma.s1 FR_p_Poly3L = FR_p_Poly3L, f1, FR_p_Temp0L // Low poly |
0347518d | 3057 | nop.i 0 |
d5efd131 | 3058 | } |
0347518d MF |
3059 | { .mfi |
3060 | nop.m 0 | |
d5efd131 | 3061 | fma.s1 FR_r_A7 = FR_r_A9, FR_r_XS4, FR_r_A7 // sin for neg |
0347518d | 3062 | nop.i 0 |
d5efd131 MF |
3063 | };; |
3064 | ||
3065 | { .mfi | |
0347518d | 3066 | nop.m 0 |
d5efd131 | 3067 | fma.s1 FR_p_Poly0L = FR_p_Poly0L,f1,FR_p_Poly3H //Low & High add |
0347518d | 3068 | nop.i 0 |
d5efd131 | 3069 | } |
0347518d MF |
3070 | { .mfi |
3071 | nop.m 0 | |
d5efd131 MF |
3072 | (p13) fms.s1 FR_p_OddPoly0L = FR_p_Poly0H, FR_p_AbsXM1, FR_p_OddPoly0H |
3073 | // Reccurent computations - multiplying by X-1 (low part) | |
0347518d | 3074 | nop.i 0 |
d5efd131 MF |
3075 | };; |
3076 | ||
0347518d MF |
3077 | { .mfi |
3078 | nop.m 0 | |
d5efd131 | 3079 | fma.s1 FR_r_A3 = FR_r_A5, FR_r_XS4, FR_r_A3 // sin for neg |
0347518d | 3080 | nop.i 0 |
d5efd131 | 3081 | } |
0347518d MF |
3082 | { .mfi |
3083 | nop.m 0 | |
d5efd131 | 3084 | fma.s1 FR_r_XS7 = FR_r_XS4, FR_r_XS2, f0 // xs^6 |
0347518d | 3085 | nop.i 0 |
d5efd131 MF |
3086 | };; |
3087 | ||
0347518d MF |
3088 | { .mfi |
3089 | nop.m 0 | |
d5efd131 | 3090 | fma.s1 FR_r_Res3L = FR_r_Res3L, f1, FR_r_TL // sin for neg |
0347518d | 3091 | nop.i 0 |
d5efd131 | 3092 | } |
0347518d MF |
3093 | { .mfi |
3094 | nop.m 0 | |
d5efd131 | 3095 | fma.s1 FR_r_XS8 = FR_r_XS4, FR_r_XS4, f0 // sin for neg |
0347518d | 3096 | nop.i 0 |
d5efd131 MF |
3097 | };; |
3098 | ||
0347518d MF |
3099 | { .mfi |
3100 | nop.m 0 | |
d5efd131 | 3101 | fma.s1 FR_p_Temp0H = FR_p_Poly3L,f1,FR_p_Poly1L //Low & High add |
0347518d | 3102 | nop.i 0 |
d5efd131 MF |
3103 | };; |
3104 | ||
0347518d MF |
3105 | { .mfi |
3106 | nop.m 0 | |
d5efd131 | 3107 | fma.s1 FR_r_XS7 = FR_r_XS7, FR_r_XS, f0 // xs^7 |
0347518d | 3108 | nop.i 0 |
d5efd131 MF |
3109 | };; |
3110 | ||
0347518d MF |
3111 | { .mfi |
3112 | nop.m 0 | |
d5efd131 | 3113 | fma.s1 FR_r_ResL = FR_r_Res3L, FR_r_XS, FR_r_ResL//sin for neg |
0347518d | 3114 | nop.i 0 |
d5efd131 | 3115 | } |
0347518d MF |
3116 | { .mfi |
3117 | nop.m 0 | |
d5efd131 | 3118 | fma.s1 FR_r_Tail = FR_r_A7, FR_r_XS8, FR_r_A3 // sin tail res |
0347518d | 3119 | nop.i 0 |
d5efd131 MF |
3120 | };; |
3121 | ||
0347518d MF |
3122 | { .mfi |
3123 | nop.m 0 | |
d5efd131 | 3124 | fma.s1 FR_p_Poly0L = FR_p_Poly0L,f1,FR_p_Temp0H //Low & High add |
0347518d | 3125 | nop.i 0 |
d5efd131 MF |
3126 | };; |
3127 | ||
3128 | ||
0347518d MF |
3129 | { .mfi |
3130 | nop.m 0 | |
d5efd131 | 3131 | fma.s1 FR_r_ResL = FR_r_Tail,FR_r_XS7,FR_r_ResL //sin for neg |
0347518d | 3132 | nop.i 0 |
d5efd131 MF |
3133 | };; |
3134 | ||
0347518d MF |
3135 | { .mfi |
3136 | nop.m 0 | |
d5efd131 MF |
3137 | (p13) fma.s1 FR_p_OddPoly0L = FR_p_Poly0L, FR_p_AbsXM1, FR_p_OddPoly0L |
3138 | // Reccurent computations - multiplying by X-1 (low part) | |
0347518d | 3139 | nop.i 0 |
d5efd131 MF |
3140 | };; |
3141 | ||
0347518d MF |
3142 | { .mfi |
3143 | nop.m 0 | |
d5efd131 | 3144 | fma.s1 FR_r_TT = FR_r_ResL, FR_r_AbsX, f0 // X*sin |
0347518d | 3145 | nop.i 0 |
d5efd131 MF |
3146 | };; |
3147 | ||
3148 | .pred.rel "mutex",p12,p13 | |
0347518d MF |
3149 | { .mfi |
3150 | nop.m 0 | |
d5efd131 | 3151 | (p12) fma.s0 f8 = FR_p_Poly0H, f1, FR_p_Poly0L // Even |
0347518d | 3152 | nop.i 0 |
d5efd131 | 3153 | } |
0347518d MF |
3154 | { .mfb |
3155 | nop.m 0 | |
d5efd131 MF |
3156 | (p13) fma.s0 f8 = FR_p_OddPoly0H, f1, FR_p_OddPoly0L // Odd |
3157 | (p14) br.ret.spnt b0 // Exit for 1 <= |X| < 13 path (positive arguments)///// | |
3158 | };; | |
3159 | ||
0347518d MF |
3160 | { .mfi |
3161 | nop.m 0 | |
3162 | (p13) fma.s1 FR_p_Poly0H = FR_p_OddPoly0H, f1, f0 | |
d5efd131 | 3163 | // Reccurent computations |
0347518d | 3164 | nop.i 0 |
d5efd131 | 3165 | } |
0347518d MF |
3166 | { .mfi |
3167 | nop.m 0 | |
3168 | (p13) fma.s1 FR_p_Poly0L = FR_p_OddPoly0L, f1, f0 | |
d5efd131 | 3169 | // Reccurent computations |
0347518d | 3170 | nop.i 0 |
d5efd131 MF |
3171 | };; |
3172 | ||
0347518d MF |
3173 | { .mfi |
3174 | nop.m 0 | |
d5efd131 MF |
3175 | fma.s1 FR_r_Res1H = FR_r_ResH, FR_r_AbsX, FR_r_TT // X*sin |
3176 | (p11) cmp.eq p13, p12 = r0, r0 | |
3177 | };; | |
3178 | ||
0347518d MF |
3179 | { .mfi |
3180 | nop.m 0 | |
d5efd131 MF |
3181 | fms.s1 FR_r_Res1L = FR_r_ResH,FR_r_AbsX,FR_r_Res1H// X*sin |
3182 | (p9) cmp.eq p13, p12 = r0, r0 | |
3183 | };; | |
3184 | ||
0347518d MF |
3185 | { .mfi |
3186 | nop.m 0 | |
d5efd131 MF |
3187 | fma.s1 FR_r_Res1L = FR_r_Res1L, f1, FR_r_TT // sin for neg |
3188 | (p10) cmp.eq p13, p12 = r0, r0 | |
3189 | } | |
0347518d MF |
3190 | { .mfi |
3191 | nop.m 0 | |
d5efd131 | 3192 | fma.s1 FR_r_TL = FR_p_Poly0L, FR_r_Res1H, f0 // mult by sin |
0347518d | 3193 | nop.i 0 |
d5efd131 MF |
3194 | };; |
3195 | ||
0347518d MF |
3196 | { .mfi |
3197 | nop.m 0 | |
d5efd131 | 3198 | fma.s1 FR_r_TL = FR_p_Poly0H,FR_r_Res1L,FR_r_TL//mult by sin |
0347518d | 3199 | nop.i 0 |
d5efd131 MF |
3200 | };; |
3201 | ||
0347518d MF |
3202 | { .mfi |
3203 | nop.m 0 | |
d5efd131 | 3204 | fma.s1 FR_r_ResH = FR_p_Poly0H,FR_r_Res1H,FR_r_TL//mult by sin |
0347518d | 3205 | nop.i 0 |
d5efd131 MF |
3206 | };; |
3207 | ||
0347518d MF |
3208 | { .mfi |
3209 | nop.m 0 | |
d5efd131 | 3210 | fms.s1 FR_r_ResL = FR_p_Poly0H,FR_r_Res1H,FR_r_ResH//sin mult |
0347518d | 3211 | nop.i 0 |
d5efd131 MF |
3212 | };; |
3213 | ||
0347518d MF |
3214 | { .mfi |
3215 | nop.m 0 | |
d5efd131 | 3216 | frcpa.s1 FR_r_Y0,p0 = f1,FR_r_ResH // y = frcpa(b) |
0347518d | 3217 | nop.i 0 |
d5efd131 MF |
3218 | };; |
3219 | ||
0347518d MF |
3220 | { .mfi |
3221 | nop.m 0 | |
d5efd131 | 3222 | fneg FR_r_NegOne = f1 // Form -1.0 |
0347518d | 3223 | nop.i 0 |
d5efd131 | 3224 | } |
0347518d MF |
3225 | { .mfi |
3226 | nop.m 0 | |
d5efd131 | 3227 | fma.s1 FR_r_ResL = FR_r_ResL, f1, FR_r_TL //Low result of mult |
0347518d | 3228 | nop.i 0 |
d5efd131 MF |
3229 | };; |
3230 | ||
0347518d MF |
3231 | { .mfi |
3232 | nop.m 0 | |
d5efd131 | 3233 | fma.s1 FR_r_Q0 = f1,FR_r_Y0,f0 // q = a*y |
0347518d | 3234 | nop.i 0 |
d5efd131 | 3235 | } |
0347518d MF |
3236 | { .mfi |
3237 | nop.m 0 | |
3238 | fnma.s1 FR_r_E0 = FR_r_Y0,FR_r_ResH,f1 // e = 1-b*y | |
3239 | nop.i 0 | |
d5efd131 MF |
3240 | };; |
3241 | ||
0347518d MF |
3242 | { .mfi |
3243 | nop.m 0 | |
d5efd131 | 3244 | fma.s1 FR_r_E2 = FR_r_E0,FR_r_E0,FR_r_E0 // e2 = e+e^2 |
0347518d | 3245 | nop.i 0 |
d5efd131 | 3246 | } |
0347518d MF |
3247 | { .mfi |
3248 | nop.m 0 | |
d5efd131 | 3249 | fma.s1 FR_r_E1 = FR_r_E0,FR_r_E0,f0 // e1 = e^2 |
0347518d | 3250 | nop.i 0 |
d5efd131 MF |
3251 | };; |
3252 | ||
0347518d MF |
3253 | { .mfi |
3254 | nop.m 0 | |
d5efd131 | 3255 | fma.s1 FR_r_Y1 = FR_r_Y0,FR_r_E2,FR_r_Y0 // y1 = y+y*e2 |
0347518d | 3256 | nop.i 0 |
d5efd131 | 3257 | } |
0347518d MF |
3258 | { .mfi |
3259 | nop.m 0 | |
d5efd131 | 3260 | fma.s1 FR_r_E3 = FR_r_E1,FR_r_E1,FR_r_E0 // e3 = e+e1^2 |
0347518d | 3261 | nop.i 0 |
d5efd131 MF |
3262 | };; |
3263 | ||
0347518d MF |
3264 | { .mfi |
3265 | nop.m 0 | |
d5efd131 | 3266 | fma.s1 FR_r_Y2 = FR_r_Y1,FR_r_E3,FR_r_Y0 // y2 = y+y1*e3 |
0347518d | 3267 | nop.i 0 |
d5efd131 | 3268 | } |
0347518d MF |
3269 | { .mfi |
3270 | nop.m 0 | |
d5efd131 | 3271 | fnma.s1 FR_r_R0 = FR_r_ResH,FR_r_Q0,f1 // r = a-b*q |
0347518d | 3272 | nop.i 0 |
d5efd131 MF |
3273 | };; |
3274 | ||
0347518d MF |
3275 | { .mfi |
3276 | nop.m 0 | |
d5efd131 | 3277 | fnma.s1 FR_r_E4 = FR_r_ResH,FR_r_Y2,f1 // e4 = 1-b*y2 |
0347518d | 3278 | nop.i 0 |
d5efd131 | 3279 | } |
0347518d MF |
3280 | { .mfi |
3281 | nop.m 0 | |
d5efd131 | 3282 | fma.s1 FR_r_ZH = FR_r_R0,FR_r_Y2,FR_r_Q0 // x = q+r*y2 |
0347518d | 3283 | nop.i 0 |
d5efd131 MF |
3284 | };; |
3285 | ||
0347518d MF |
3286 | { .mfi |
3287 | nop.m 0 | |
d5efd131 | 3288 | fma.s1 FR_r_Y3 = FR_r_Y2,FR_r_E4,FR_r_Y2 // y3 = y2+y2*e4 |
0347518d | 3289 | nop.i 0 |
d5efd131 | 3290 | } |
0347518d MF |
3291 | { .mfi |
3292 | nop.m 0 | |
d5efd131 | 3293 | fnma.s1 FR_r_R1 = FR_r_ResH,FR_r_ZH,f1 // r1 = a-b*x |
0347518d | 3294 | nop.i 0 |
d5efd131 MF |
3295 | };; |
3296 | ||
0347518d MF |
3297 | { .mfi |
3298 | nop.m 0 | |
d5efd131 | 3299 | fnma.s1 FR_r_R1 = FR_r_ResL,FR_r_ZH,FR_r_R1 // r1=r1-b_lo*X |
0347518d | 3300 | nop.i 0 |
d5efd131 | 3301 | } |
0347518d MF |
3302 | { .mfi |
3303 | nop.m 0 | |
d5efd131 | 3304 | (p12) fma.s1 FR_r_ZHN = FR_r_ZH,FR_r_NegOne, f0 // Negate for evens |
0347518d | 3305 | nop.i 0 |
d5efd131 MF |
3306 | };; |
3307 | ||
3308 | .pred.rel "mutex",p13,p12 | |
0347518d MF |
3309 | { .mfi |
3310 | nop.m 0 | |
d5efd131 | 3311 | (p13) fma.s0 f8 = FR_r_R1,FR_r_Y3,FR_r_ZH // Final result |
0347518d | 3312 | nop.i 0 |
d5efd131 | 3313 | } |
0347518d MF |
3314 | { .mfb |
3315 | nop.m 0 | |
d5efd131 MF |
3316 | (p12) fnma.s0 f8 = FR_r_R1,FR_r_Y3,FR_r_ZHN // Final result |
3317 | br.ret.sptk b0 // Exit for 1 <= |X| < 13 path (negative arguments)////// | |
3318 | };; | |
3319 | ||
3320 | ||
3321 | //////////// |X| < 1 path ///////////////////////////////////////////////////// | |
3322 | //------------------------------------------------------------------------------ | |
3323 | .align 64 | |
3324 | tgamma_lt_1: | |
0347518d | 3325 | { .mfi |
d5efd131 MF |
3326 | getf.exp GR_p_Exp = FR_p_AbsX // exp of abs X |
3327 | fma.s1 FR_z_Q0 = f1,FR_z_Y0,f0 // q = a*y | |
3328 | add GR_r_sin_Table2= 0x50, GR_r_sin_Table | |
0347518d | 3329 | } |
d5efd131 | 3330 | { .mfi |
0347518d MF |
3331 | ldfpd FR_p_0p5, FR_p_1p5 = [GR_c_Table], 16 |
3332 | fnma.s1 FR_z_E0 = FR_z_Y0,f8,f1 // e = 1-b*y | |
d5efd131 | 3333 | add GR_p_Table2 = 0xB0, GR_p_Table |
0347518d | 3334 | };; |
d5efd131 | 3335 | |
0347518d | 3336 | { .mfi |
d5efd131 MF |
3337 | ldfd FR_p_0p25 = [GR_c_Table] |
3338 | fcvt.xf FR_r_XNS = FR_r_IXNS // Convert int repr to float | |
0347518d | 3339 | shr.u GR_p_X_Sgnd = GR_p_X_Sgnd, 60 |
d5efd131 MF |
3340 | // Obtain only 4 bits of significand |
3341 | } | |
0347518d | 3342 | { .mfi |
d5efd131 MF |
3343 | nop.m 0 |
3344 | nop.f 0 | |
3345 | add GR_p_Bias = 0xffff, r0 // Set bias | |
0347518d | 3346 | };; |
d5efd131 | 3347 | |
0347518d MF |
3348 | { .mfi |
3349 | ldfpd FR_r_A2H, FR_r_A2L = [GR_r_sin_Table], 16 | |
d5efd131 MF |
3350 | nop.f 0 |
3351 | shl GR_p_XN = GR_p_Exp, 4 | |
3352 | // Shift exp to 4 bits left to set place for significand | |
0347518d | 3353 | } |
d5efd131 MF |
3354 | { .mlx |
3355 | ldfe FR_r_A6 = [GR_r_sin_Table2], 16 | |
3356 | movl GR_p_0p75 = 0xfffec // 0.75 | |
0347518d | 3357 | };; |
d5efd131 | 3358 | |
0347518d MF |
3359 | { .mfi |
3360 | ldfpd FR_r_A1H, FR_r_A1L = [GR_r_sin_Table], 16 | |
d5efd131 | 3361 | nop.f 0 |
0347518d | 3362 | or GR_p_XN = GR_p_XN, GR_p_X_Sgnd |
d5efd131 | 3363 | // Combine exp with 4 high bits of significand |
0347518d | 3364 | } |
d5efd131 | 3365 | { .mfi |
0347518d | 3366 | ldfe FR_r_A5 = [GR_r_sin_Table2], 16 |
d5efd131 MF |
3367 | nop.f 0 |
3368 | sub GR_p_Exp = GR_p_Exp, GR_p_Bias // Unbiased exp | |
0347518d | 3369 | };; |
d5efd131 | 3370 | |
0347518d MF |
3371 | { .mmi |
3372 | ldfe FR_r_A9 = [GR_r_sin_Table], 16 | |
3373 | ldfe FR_r_A4 = [GR_r_sin_Table2], 16 | |
d5efd131 | 3374 | cmp.gtu.unc p10, p11 = GR_p_0p75, GR_p_XN // sgnd(x) < 0.75 |
0347518d | 3375 | };; |
d5efd131 | 3376 | |
0347518d MF |
3377 | { .mfi |
3378 | ldfe FR_r_A8 = [GR_r_sin_Table], 16 | |
d5efd131 MF |
3379 | fma.s1 FR_z_E2 = FR_z_E0,FR_z_E0,FR_z_E0 // e2 = e+e^2 |
3380 | (p10) cmp.gt.unc p9, p10 = -2, GR_p_Exp // x < 0.25 | |
0347518d | 3381 | } |
d5efd131 | 3382 | { .mfi |
0347518d | 3383 | ldfe FR_r_A3 = [GR_r_sin_Table2], 16 |
d5efd131 MF |
3384 | fma.s1 FR_z_E1 = FR_z_E0,FR_z_E0,f0 // e1 = e^2 |
3385 | (p11) add GR_p_Offset = 168, r0 // [0.75;1] interval | |
0347518d | 3386 | };; |
d5efd131 | 3387 | |
0347518d | 3388 | { .mmi |
d5efd131 | 3389 | (p10) add GR_p_Offset = 147, r0 // [0.25;0.75] interval |
0347518d | 3390 | ldfe FR_r_A7 = [GR_r_sin_Table], 16 |
d5efd131 | 3391 | (p9) cmp.gt.unc p8, p9 = -3, GR_p_Exp // x < 0.125 |
0347518d | 3392 | };; |
d5efd131 MF |
3393 | |
3394 | .pred.rel "mutex",p9,p8 | |
0347518d | 3395 | { .mmi |
d5efd131 MF |
3396 | (p9) add GR_p_Offset = 126, r0 // [0.125;0.25] interval |
3397 | (p8) add GR_p_Offset = 189, r0 // [0.;0.125] interval | |
0347518d MF |
3398 | nop.i 0 |
3399 | };; | |
d5efd131 | 3400 | |
0347518d | 3401 | { .mmf |
d5efd131 MF |
3402 | shladd GR_p_Table = GR_p_Offset, 4, GR_p_Table //Make addresses |
3403 | shladd GR_p_Table2 = GR_p_Offset, 4, GR_p_Table2 | |
3404 | fma.s1 FR_r_XS = FR_r_AbsX , f1, FR_r_XNS // xs = |x|-[x] | |
0347518d | 3405 | };; |
d5efd131 MF |
3406 | |
3407 | .pred.rel "mutex",p8,p11 | |
0347518d MF |
3408 | { .mfi |
3409 | ldfpd FR_p_A5H, FR_p_A5L = [GR_p_Table], 16 | |
d5efd131 MF |
3410 | (p11) fms.s1 FR_p_XR = f1, f1, FR_p_AbsX // r = 1 - |x| |
3411 | // for [0.75;1] interval | |
0347518d | 3412 | nop.i 0 |
d5efd131 | 3413 | } |
0347518d MF |
3414 | { .mfi |
3415 | ldfpd FR_p_A2H, FR_p_A2L = [GR_p_Table2], 16 | |
d5efd131 MF |
3416 | (p8) fms.s1 FR_p_XR = FR_p_AbsX, f1, f0 // r = |x| |
3417 | // for [0.;0.125] interval | |
0347518d | 3418 | nop.i 0 |
d5efd131 MF |
3419 | };; |
3420 | ||
0347518d MF |
3421 | { .mfi |
3422 | ldfpd FR_p_A4H, FR_p_A4L = [GR_p_Table], 16 | |
d5efd131 | 3423 | fma.s1 FR_z_Y1 = FR_z_Y0,FR_z_E2,FR_z_Y0 // y1 = y+y*e2 |
0347518d | 3424 | nop.i 0 |
d5efd131 | 3425 | } |
0347518d MF |
3426 | { .mfi |
3427 | ldfpd FR_p_A1H, FR_p_A1L = [GR_p_Table2], 16 | |
d5efd131 | 3428 | fma.s1 FR_z_E3 = FR_z_E1,FR_z_E1,FR_z_E0 // e3 = e+e1^2 |
0347518d | 3429 | nop.i 0 |
d5efd131 MF |
3430 | };; |
3431 | ||
3432 | .pred.rel "mutex",p9,p10 | |
0347518d MF |
3433 | { .mfi |
3434 | ldfpd FR_p_A3H, FR_p_A3L = [GR_p_Table], 16 | |
d5efd131 MF |
3435 | (p9) fms.s1 FR_p_XR = FR_p_AbsX, f1, f0 // r = |x| |
3436 | // for [0.125;0.25] interval | |
0347518d | 3437 | nop.i 0 |
d5efd131 | 3438 | } |
0347518d MF |
3439 | { .mfi |
3440 | ldfpd FR_p_A0H, FR_p_A0L = [GR_p_Table2], 16 | |
d5efd131 MF |
3441 | (p10) fms.s1 FR_p_XR = FR_p_AbsX, f1, FR_p_0p5 // r = |x| - 0.5 |
3442 | // for [0.25;0.75] interval | |
0347518d | 3443 | nop.i 0 |
d5efd131 MF |
3444 | };; |
3445 | ||
0347518d MF |
3446 | { .mmi |
3447 | ldfe FR_p_A20 = [GR_p_Table], 16 | |
3448 | ldfe FR_p_A12 = [GR_p_Table2], 16 | |
d5efd131 MF |
3449 | nop.i 0 |
3450 | };; | |
3451 | ||
0347518d MF |
3452 | { .mfi |
3453 | ldfe FR_p_A19 = [GR_p_Table], 16 | |
d5efd131 | 3454 | fma.s1 FR_r_XS2 = FR_r_XS, FR_r_XS, f0 // xs^2 |
0347518d | 3455 | nop.i 0 |
d5efd131 | 3456 | } |
0347518d MF |
3457 | { .mfi |
3458 | ldfe FR_p_A11 = [GR_p_Table2], 16 | |
d5efd131 | 3459 | nop.f 0 |
0347518d | 3460 | nop.i 0 |
d5efd131 MF |
3461 | };; |
3462 | ||
0347518d MF |
3463 | { .mmi |
3464 | ldfe FR_p_A18 = [GR_p_Table], 16 | |
3465 | ldfe FR_p_A10 = [GR_p_Table2], 16 | |
d5efd131 MF |
3466 | nop.i 0 |
3467 | };; | |
3468 | ||
3469 | .pred.rel "mutex",p12,p13 | |
0347518d MF |
3470 | { .mfi |
3471 | ldfe FR_p_A17 = [GR_p_Table], 16 | |
d5efd131 | 3472 | fma.s1 FR_z_Y2 = FR_z_Y1,FR_z_E3,FR_z_Y0 // y2 = y+y1*e3 |
0347518d | 3473 | nop.i 0 |
d5efd131 | 3474 | } |
0347518d MF |
3475 | { .mfi |
3476 | ldfe FR_p_A9 = [GR_p_Table2], 16 | |
d5efd131 | 3477 | fnma.s1 FR_z_R0 = f8,FR_z_Q0,f1 // r = a-b*q |
0347518d | 3478 | nop.i 0 |
d5efd131 MF |
3479 | };; |
3480 | ||
0347518d MF |
3481 | { .mmi |
3482 | ldfe FR_p_A16 = [GR_p_Table], 16 | |
3483 | ldfe FR_p_A8 = [GR_p_Table2], 16 | |
3484 | nop.i 0 | |
d5efd131 MF |
3485 | };; |
3486 | ||
0347518d MF |
3487 | { .mmi |
3488 | ldfe FR_p_A15 = [GR_p_Table], 16 | |
3489 | ldfe FR_p_A7 = [GR_p_Table2], 16 | |
d5efd131 MF |
3490 | nop.i 0 |
3491 | };; | |
3492 | ||
0347518d MF |
3493 | { .mfi |
3494 | ldfe FR_p_A14 = [GR_p_Table], 16 | |
d5efd131 | 3495 | fma.s1 FR_r_TH = FR_r_A2H, FR_r_XS2, f0 // neg sin |
0347518d | 3496 | nop.i 0 |
d5efd131 | 3497 | } |
0347518d MF |
3498 | { .mfi |
3499 | ldfe FR_p_A6 = [GR_p_Table2], 16 | |
d5efd131 | 3500 | fma.s1 FR_r_TL = FR_r_A2L, FR_r_XS2, f0 // neg sin |
0347518d | 3501 | nop.i 0 |
d5efd131 MF |
3502 | };; |
3503 | ||
0347518d MF |
3504 | { .mfi |
3505 | ldfe FR_p_A13 = [GR_p_Table], 16 | |
d5efd131 | 3506 | fms.s1 FR_r_XS2L = FR_r_XS, FR_r_XS, FR_r_XS2 // xs^2 delta |
0347518d | 3507 | nop.i 0 |
d5efd131 MF |
3508 | };; |
3509 | ||
0347518d MF |
3510 | { .mfi |
3511 | nop.m 0 | |
d5efd131 | 3512 | fma.s1 FR_p_Temp5H = FR_p_A5H, FR_p_XR, f0 // Low poly |
0347518d | 3513 | nop.i 0 |
d5efd131 | 3514 | } |
0347518d MF |
3515 | { .mfi |
3516 | nop.m 0 | |
d5efd131 | 3517 | fma.s1 FR_p_XR2 = FR_p_XR, FR_p_XR, f0 // poly tail |
0347518d | 3518 | nop.i 0 |
d5efd131 MF |
3519 | };; |
3520 | ||
0347518d MF |
3521 | { .mfi |
3522 | nop.m 0 | |
d5efd131 | 3523 | fabs FR_r_XS = FR_r_XS // Absolute value of xs |
0347518d | 3524 | nop.i 0 |
d5efd131 | 3525 | } |
0347518d MF |
3526 | { .mfi |
3527 | nop.m 0 | |
d5efd131 | 3528 | fma.s1 FR_p_Temp2H = FR_p_A2H, FR_p_XR, f0 // High poly |
0347518d | 3529 | nop.i 0 |
d5efd131 MF |
3530 | };; |
3531 | ||
0347518d MF |
3532 | { .mfi |
3533 | nop.m 0 | |
d5efd131 | 3534 | fnma.s1 FR_z_E4 = f8,FR_z_Y2,f1 // e4 = 1-b*y2 |
0347518d | 3535 | nop.i 0 |
d5efd131 | 3536 | } |
0347518d MF |
3537 | { .mfi |
3538 | nop.m 0 | |
d5efd131 | 3539 | fma.s1 FR_z_ZH = FR_z_R0,FR_z_Y2,FR_z_Q0 // 1/x = q+r*y2 |
0347518d | 3540 | nop.i 0 |
d5efd131 MF |
3541 | };; |
3542 | ||
0347518d MF |
3543 | { .mfi |
3544 | nop.m 0 | |
d5efd131 | 3545 | fms.s1 FR_r_TT = FR_r_A2H, FR_r_XS2, FR_r_TH // neg sin |
0347518d | 3546 | nop.i 0 |
d5efd131 | 3547 | } |
0347518d MF |
3548 | { .mfi |
3549 | nop.m 0 | |
d5efd131 | 3550 | fma.s1 FR_r_ResH = FR_r_TH, f1, FR_r_A1H // neg sin |
0347518d | 3551 | nop.i 0 |
d5efd131 MF |
3552 | };; |
3553 | ||
0347518d MF |
3554 | { .mfi |
3555 | nop.m 0 | |
d5efd131 | 3556 | fma.s1 FR_r_TL = FR_r_A2H, FR_r_XS2L, FR_r_TL // neg sin |
0347518d | 3557 | nop.i 0 |
d5efd131 MF |
3558 | };; |
3559 | ||
0347518d MF |
3560 | { .mfi |
3561 | nop.m 0 | |
d5efd131 | 3562 | fms.s1 FR_p_Temp5L = FR_p_A5H, FR_p_XR, FR_p_Temp5H // Low poly |
0347518d | 3563 | nop.i 0 |
d5efd131 | 3564 | } |
0347518d MF |
3565 | { .mfi |
3566 | nop.m 0 | |
d5efd131 | 3567 | fma.s1 FR_p_Poly5H = FR_p_Temp5H, f1, FR_p_A4H // Low poly |
0347518d | 3568 | nop.i 0 |
d5efd131 MF |
3569 | };; |
3570 | ||
0347518d MF |
3571 | { .mfi |
3572 | nop.m 0 | |
d5efd131 | 3573 | fms.s1 FR_p_Temp2L = FR_p_A2H, FR_p_XR, FR_p_Temp2H // High poly |
0347518d | 3574 | nop.i 0 |
d5efd131 | 3575 | } |
0347518d MF |
3576 | { .mfi |
3577 | nop.m 0 | |
d5efd131 | 3578 | fma.s1 FR_p_Poly2H = FR_p_Temp2H, f1, FR_p_A1H // High poly |
0347518d | 3579 | nop.i 0 |
d5efd131 MF |
3580 | };; |
3581 | ||
0347518d MF |
3582 | { .mfi |
3583 | nop.m 0 | |
d5efd131 | 3584 | fma.s1 FR_p_XR3 = FR_p_XR2, FR_p_XR, f0 // r^3 |
0347518d | 3585 | nop.i 0 |
d5efd131 | 3586 | } |
0347518d MF |
3587 | { .mfi |
3588 | nop.m 0 | |
d5efd131 | 3589 | fms.s1 FR_p_XR2L = FR_p_XR, FR_p_XR, FR_p_XR2 // r^2 delta |
0347518d | 3590 | nop.i 0 |
d5efd131 MF |
3591 | };; |
3592 | ||
0347518d MF |
3593 | { .mfi |
3594 | nop.m 0 | |
d5efd131 | 3595 | fma.s1 FR_p_A18 = FR_p_A19, FR_p_XR, FR_p_A18 // poly tail |
0347518d | 3596 | nop.i 0 |
d5efd131 | 3597 | } |
0347518d MF |
3598 | { .mfi |
3599 | nop.m 0 | |
d5efd131 | 3600 | fma.s1 FR_p_A14 = FR_p_A15, FR_p_XR, FR_p_A14 // poly tail |
0347518d | 3601 | nop.i 0 |
d5efd131 MF |
3602 | };; |
3603 | ||
0347518d MF |
3604 | { .mfi |
3605 | nop.m 0 | |
d5efd131 | 3606 | fma.s1 FR_p_XR4 = FR_p_XR2, FR_p_XR2, f0 // poly tail |
0347518d | 3607 | nop.i 0 |
d5efd131 | 3608 | } |
0347518d MF |
3609 | { .mfi |
3610 | nop.m 0 | |
d5efd131 | 3611 | fma.s1 FR_z_Y3 = FR_z_Y2,FR_z_E4,FR_z_Y2 // y3 = y2+y2*e4 |
0347518d | 3612 | nop.i 0 |
d5efd131 MF |
3613 | };; |
3614 | ||
0347518d MF |
3615 | { .mfi |
3616 | nop.m 0 | |
d5efd131 | 3617 | fma.s1 FR_p_Temp5L = FR_p_A5L, FR_p_XR, FR_p_Temp5L // Low poly |
0347518d | 3618 | nop.i 0 |
d5efd131 | 3619 | } |
0347518d MF |
3620 | { .mfi |
3621 | nop.m 0 | |
d5efd131 | 3622 | fms.s1 FR_p_Poly5L = FR_p_A4H, f1, FR_p_Poly5H // Low poly |
0347518d | 3623 | nop.i 0 |
d5efd131 MF |
3624 | };; |
3625 | ||
0347518d MF |
3626 | { .mfi |
3627 | nop.m 0 | |
d5efd131 | 3628 | fma.s1 FR_p_Temp4H = FR_p_Poly5H, FR_p_XR, f0 // Low poly |
0347518d | 3629 | nop.i 0 |
d5efd131 | 3630 | } |
0347518d MF |
3631 | { .mfi |
3632 | nop.m 0 | |
d5efd131 | 3633 | fma.s1 FR_p_Temp2L = FR_p_A2L, FR_p_XR, FR_p_Temp2L // High poly |
0347518d | 3634 | nop.i 0 |
d5efd131 MF |
3635 | };; |
3636 | ||
0347518d MF |
3637 | { .mfi |
3638 | nop.m 0 | |
d5efd131 | 3639 | fms.s1 FR_p_Poly2L = FR_p_A1H, f1, FR_p_Poly2H // High poly |
0347518d | 3640 | nop.i 0 |
d5efd131 | 3641 | } |
0347518d MF |
3642 | { .mfi |
3643 | nop.m 0 | |
d5efd131 | 3644 | fma.s1 FR_p_Temp1H = FR_p_Poly2H, FR_p_XR, f0 // High poly |
0347518d | 3645 | nop.i 0 |
d5efd131 MF |
3646 | };; |
3647 | ||
0347518d MF |
3648 | { .mfi |
3649 | nop.m 0 | |
d5efd131 | 3650 | fms.s1 FR_p_XR3L = FR_p_XR2, FR_p_XR, FR_p_XR3 // x^3 delta |
0347518d | 3651 | nop.i 0 |
d5efd131 | 3652 | } |
0347518d MF |
3653 | { .mfi |
3654 | nop.m 0 | |
d5efd131 | 3655 | fma.s1 FR_p_A16 = FR_p_A17, FR_p_XR, FR_p_A16 //poly tail |
0347518d | 3656 | nop.i 0 |
d5efd131 MF |
3657 | };; |
3658 | ||
0347518d MF |
3659 | { .mfi |
3660 | nop.m 0 | |
d5efd131 | 3661 | fms.s1 FR_r_ResL = FR_r_A1H, f1, FR_r_ResH // neg sin |
0347518d | 3662 | nop.i 0 |
d5efd131 | 3663 | } |
0347518d MF |
3664 | { .mfi |
3665 | nop.m 0 | |
d5efd131 | 3666 | fma.s1 FR_r_TL = FR_r_TL, f1, FR_r_TT // neg sin |
0347518d | 3667 | nop.i 0 |
d5efd131 MF |
3668 | };; |
3669 | ||
0347518d MF |
3670 | { .mfi |
3671 | nop.m 0 | |
d5efd131 | 3672 | fma.s1 FR_p_Temp5L = FR_p_Temp5L, f1, FR_p_A4L // Low poly |
0347518d | 3673 | nop.i 0 |
d5efd131 | 3674 | } |
0347518d MF |
3675 | { .mfi |
3676 | nop.m 0 | |
d5efd131 | 3677 | fma.s1 FR_p_Poly5L = FR_p_Poly5L, f1, FR_p_Temp5H //Low poly |
0347518d | 3678 | nop.i 0 |
d5efd131 MF |
3679 | };; |
3680 | ||
0347518d MF |
3681 | { .mfi |
3682 | nop.m 0 | |
d5efd131 | 3683 | fms.s1 FR_p_Temp4L = FR_p_Poly5H, FR_p_XR, FR_p_Temp4H//Low poly |
0347518d | 3684 | nop.i 0 |
d5efd131 | 3685 | } |
0347518d MF |
3686 | { .mfi |
3687 | nop.m 0 | |
d5efd131 | 3688 | fma.s1 FR_p_Poly4H = FR_p_Temp4H, f1, FR_p_A3H // Low poly |
0347518d | 3689 | nop.i 0 |
d5efd131 MF |
3690 | };; |
3691 | ||
0347518d MF |
3692 | { .mfi |
3693 | nop.m 0 | |
d5efd131 | 3694 | fma.s1 FR_p_Temp2L = FR_p_Temp2L, f1, FR_p_A1L // High poly |
0347518d | 3695 | nop.i 0 |
d5efd131 | 3696 | } |
0347518d MF |
3697 | { .mfi |
3698 | nop.m 0 | |
d5efd131 | 3699 | fma.s1 FR_p_Poly2L = FR_p_Poly2L, f1, FR_p_Temp2H // High poly |
0347518d | 3700 | nop.i 0 |
d5efd131 MF |
3701 | };; |
3702 | ||
0347518d MF |
3703 | { .mfi |
3704 | nop.m 0 | |
d5efd131 | 3705 | fms.s1 FR_p_Temp1L = FR_p_Poly2H,FR_p_XR,FR_p_Temp1H //High poly |
0347518d | 3706 | nop.i 0 |
d5efd131 | 3707 | } |
0347518d MF |
3708 | { .mfi |
3709 | nop.m 0 | |
d5efd131 | 3710 | fma.s1 FR_p_Poly1H = FR_p_Temp1H, f1, FR_p_A0H // High poly |
0347518d | 3711 | nop.i 0 |
d5efd131 MF |
3712 | };; |
3713 | ||
0347518d MF |
3714 | { .mfi |
3715 | nop.m 0 | |
d5efd131 | 3716 | fma.s1 FR_p_A12 = FR_p_A13, FR_p_XR, FR_p_A12 // poly tail |
0347518d | 3717 | nop.i 0 |
d5efd131 | 3718 | } |
0347518d MF |
3719 | { .mfi |
3720 | nop.m 0 | |
d5efd131 | 3721 | fma.s1 FR_p_XR3L = FR_p_XR2L, FR_p_XR, FR_p_XR3L // x^3 low |
0347518d | 3722 | nop.i 0 |
d5efd131 MF |
3723 | };; |
3724 | ||
0347518d MF |
3725 | { .mfi |
3726 | nop.m 0 | |
d5efd131 | 3727 | fma.s1 FR_p_Poly5L = FR_p_Poly5L, f1, FR_p_Temp5L //Low poly |
0347518d | 3728 | nop.i 0 |
d5efd131 | 3729 | } |
0347518d MF |
3730 | { .mfi |
3731 | nop.m 0 | |
d5efd131 | 3732 | fma.s1 FR_p_A10 = FR_p_A11, FR_p_XR, FR_p_A10 //poly tail |
0347518d | 3733 | nop.i 0 |
d5efd131 MF |
3734 | };; |
3735 | ||
0347518d MF |
3736 | { .mfi |
3737 | nop.m 0 | |
d5efd131 | 3738 | fms.s1 FR_p_Poly4L = FR_p_A3H, f1, FR_p_Poly4H /// Low poly |
0347518d | 3739 | nop.i 0 |
d5efd131 | 3740 | } |
0347518d MF |
3741 | { .mfi |
3742 | nop.m 0 | |
d5efd131 | 3743 | fma.s1 FR_p_A6 = FR_p_A7, FR_p_XR, FR_p_A6 // poly tail |
0347518d | 3744 | nop.i 0 |
d5efd131 MF |
3745 | };; |
3746 | ||
0347518d MF |
3747 | { .mfi |
3748 | nop.m 0 | |
d5efd131 | 3749 | fma.s1 FR_p_A8 = FR_p_A9, FR_p_XR, FR_p_A8 // poly tail |
0347518d | 3750 | nop.i 0 |
d5efd131 | 3751 | } |
0347518d MF |
3752 | { .mfi |
3753 | nop.m 0 | |
d5efd131 | 3754 | fma.s1 FR_p_XR6 = FR_p_XR4, FR_p_XR2, f0 // r^6 |
0347518d | 3755 | nop.i 0 |
d5efd131 MF |
3756 | };; |
3757 | ||
0347518d MF |
3758 | { .mfi |
3759 | nop.m 0 | |
d5efd131 | 3760 | fma.s1 FR_p_Poly2L = FR_p_Poly2L, f1, FR_p_Temp2L // High poly |
0347518d | 3761 | nop.i 0 |
d5efd131 | 3762 | } |
0347518d MF |
3763 | { .mfi |
3764 | nop.m 0 | |
d5efd131 | 3765 | fms.s1 FR_p_Poly1L = FR_p_A0H, f1, FR_p_Poly1H // High poly |
0347518d | 3766 | nop.i 0 |
d5efd131 MF |
3767 | };; |
3768 | ||
0347518d MF |
3769 | { .mfi |
3770 | nop.m 0 | |
d5efd131 | 3771 | fma.s1 FR_r_ResL = FR_r_ResL, f1, FR_r_TH // neg sin |
0347518d | 3772 | nop.i 0 |
d5efd131 | 3773 | } |
0347518d MF |
3774 | { .mfi |
3775 | nop.m 0 | |
d5efd131 | 3776 | fma.s1 FR_r_TT = FR_r_TL, f1, FR_r_A1L // neg sin |
0347518d | 3777 | nop.i 0 |
d5efd131 MF |
3778 | };; |
3779 | ||
0347518d MF |
3780 | { .mfi |
3781 | nop.m 0 | |
d5efd131 | 3782 | fma.s1 FR_p_Temp4L = FR_p_Poly5L,FR_p_XR,FR_p_Temp4L //Low poly |
0347518d | 3783 | nop.i 0 |
d5efd131 | 3784 | } |
0347518d MF |
3785 | { .mfi |
3786 | nop.m 0 | |
d5efd131 | 3787 | fma.s1 FR_p_A18 = FR_p_A20, FR_p_XR2, FR_p_A18 // poly tail |
0347518d | 3788 | nop.i 0 |
d5efd131 MF |
3789 | };; |
3790 | ||
0347518d MF |
3791 | { .mfi |
3792 | nop.m 0 | |
d5efd131 | 3793 | fma.s1 FR_p_Poly4L = FR_p_Poly4L, f1, FR_p_Temp4H // Low poly |
0347518d | 3794 | nop.i 0 |
d5efd131 | 3795 | } |
0347518d MF |
3796 | { .mfi |
3797 | nop.m 0 | |
d5efd131 | 3798 | fma.s1 FR_p_A14 = FR_p_A16, FR_p_XR2, FR_p_A14 // poly tail |
0347518d | 3799 | nop.i 0 |
d5efd131 MF |
3800 | };; |
3801 | ||
0347518d MF |
3802 | { .mfi |
3803 | nop.m 0 | |
d5efd131 | 3804 | fma.s1 FR_p_A6 = FR_p_A8, FR_p_XR2, FR_p_A6 // poly tail |
0347518d | 3805 | nop.i 0 |
d5efd131 | 3806 | } |
0347518d MF |
3807 | { .mfi |
3808 | nop.m 0 | |
d5efd131 | 3809 | fma.s1 FR_p_A10 = FR_p_A12, FR_p_XR2, FR_p_A10 // poly tail |
0347518d | 3810 | nop.i 0 |
d5efd131 MF |
3811 | };; |
3812 | ||
0347518d MF |
3813 | { .mfi |
3814 | nop.m 0 | |
d5efd131 | 3815 | fma.s1 FR_p_Temp1L = FR_p_Poly2L,FR_p_XR,FR_p_Temp1L //High poly |
0347518d | 3816 | nop.i 0 |
d5efd131 | 3817 | } |
0347518d MF |
3818 | { .mfi |
3819 | nop.m 0 | |
d5efd131 | 3820 | fma.s1 FR_p_Poly1L = FR_p_Poly1L, f1, FR_p_Temp1H // High poly |
0347518d | 3821 | nop.i 0 |
d5efd131 MF |
3822 | };; |
3823 | ||
0347518d MF |
3824 | { .mfi |
3825 | nop.m 0 | |
d5efd131 | 3826 | fma.s1 FR_r_ResL = FR_r_ResL, f1, FR_r_TT // neg sin |
0347518d | 3827 | nop.i 0 |
d5efd131 | 3828 | } |
0347518d MF |
3829 | { .mfi |
3830 | nop.m 0 | |
d5efd131 | 3831 | fma.s1 FR_r_TH = FR_r_ResH, FR_r_XS2, f0 // neg sin |
0347518d | 3832 | nop.i 0 |
d5efd131 MF |
3833 | };; |
3834 | ||
0347518d MF |
3835 | { .mfi |
3836 | nop.m 0 | |
d5efd131 | 3837 | fma.s1 FR_p_Temp4L = FR_p_Temp4L, f1, FR_p_A3L // Low poly |
0347518d | 3838 | nop.i 0 |
d5efd131 | 3839 | } |
0347518d MF |
3840 | { .mfi |
3841 | nop.m 0 | |
d5efd131 | 3842 | fma.s1 FR_p_Poly3H = FR_p_Poly4H, FR_p_XR3, f0 // Low poly |
0347518d | 3843 | nop.i 0 |
d5efd131 MF |
3844 | };; |
3845 | ||
0347518d MF |
3846 | { .mfi |
3847 | nop.m 0 | |
d5efd131 | 3848 | fma.s1 FR_p_A14 = FR_p_A18, FR_p_XR4, FR_p_A14 // poly tail |
0347518d | 3849 | nop.i 0 |
d5efd131 | 3850 | } |
0347518d MF |
3851 | { .mfi |
3852 | nop.m 0 | |
d5efd131 | 3853 | fma.s1 FR_p_XR8 = FR_p_XR4, FR_p_XR4, f0 // r^8 |
0347518d | 3854 | nop.i 0 |
d5efd131 MF |
3855 | };; |
3856 | ||
0347518d MF |
3857 | { .mfi |
3858 | nop.m 0 | |
d5efd131 | 3859 | fma.s1 FR_r_TL = FR_r_ResH, FR_r_XS2L, f0 // neg sin |
0347518d | 3860 | nop.i 0 |
d5efd131 | 3861 | } |
0347518d MF |
3862 | { .mfi |
3863 | nop.m 0 | |
d5efd131 | 3864 | fnma.s1 FR_z_R1 = f8,FR_z_ZH,f1 // r1 = a-b*x |
0347518d | 3865 | nop.i 0 |
d5efd131 MF |
3866 | };; |
3867 | ||
0347518d MF |
3868 | { .mfi |
3869 | nop.m 0 | |
d5efd131 | 3870 | fma.s1 FR_p_Temp1L = FR_p_Temp1L, f1, FR_p_A0L // High poly |
0347518d | 3871 | nop.i 0 |
d5efd131 | 3872 | } |
0347518d MF |
3873 | { .mfi |
3874 | nop.m 0 | |
d5efd131 | 3875 | fma.s1 FR_p_A6 = FR_p_A10, FR_p_XR4, FR_p_A6 // poly tail |
0347518d | 3876 | nop.i 0 |
d5efd131 MF |
3877 | };; |
3878 | ||
0347518d MF |
3879 | { .mfi |
3880 | nop.m 0 | |
d5efd131 | 3881 | fms.s1 FR_r_TT = FR_r_ResH, FR_r_XS2, FR_r_TH // neg sin |
0347518d | 3882 | nop.i 0 |
d5efd131 | 3883 | } |
0347518d MF |
3884 | { .mfi |
3885 | nop.m 0 | |
d5efd131 | 3886 | fma.s1 FR_r_Res3H = FR_r_TH, f1, f1 // neg sin |
0347518d | 3887 | nop.i 0 |
d5efd131 MF |
3888 | };; |
3889 | ||
0347518d MF |
3890 | { .mfi |
3891 | nop.m 0 | |
d5efd131 | 3892 | fma.s1 FR_p_Poly4L = FR_p_Poly4L, f1, FR_p_Temp4L // Low poly |
0347518d | 3893 | nop.i 0 |
d5efd131 | 3894 | } |
0347518d MF |
3895 | { .mfi |
3896 | nop.m 0 | |
d5efd131 | 3897 | fma.s1 FR_p_Poly3L = FR_p_Poly4H, FR_p_XR3L, f0 // Low poly |
0347518d | 3898 | nop.i 0 |
d5efd131 MF |
3899 | };; |
3900 | ||
0347518d MF |
3901 | { .mfi |
3902 | nop.m 0 | |
d5efd131 | 3903 | fma.s1 FR_p_Poly0H = FR_p_Poly3H, f1, FR_p_Poly1H // Result |
0347518d | 3904 | nop.i 0 |
d5efd131 | 3905 | } |
0347518d MF |
3906 | { .mfi |
3907 | nop.m 0 | |
d5efd131 | 3908 | fma.s1 FR_r_A7 = FR_r_A8, FR_r_XS2, FR_r_A7 // neg sin |
0347518d | 3909 | nop.i 0 |
d5efd131 MF |
3910 | };; |
3911 | ||
0347518d MF |
3912 | { .mfi |
3913 | nop.m 0 | |
d5efd131 | 3914 | fma.s1 FR_r_TL = FR_r_ResL, FR_r_XS2, FR_r_TL // neg sin |
0347518d | 3915 | nop.i 0 |
d5efd131 | 3916 | } |
0347518d MF |
3917 | { .mfi |
3918 | nop.m 0 | |
d5efd131 | 3919 | fma.s1 FR_r_XS4 = FR_r_XS2, FR_r_XS2, f0 // xs^4 |
0347518d | 3920 | nop.i 0 |
d5efd131 MF |
3921 | };; |
3922 | ||
0347518d MF |
3923 | { .mfi |
3924 | nop.m 0 | |
d5efd131 | 3925 | fma.s1 FR_p_Poly1L = FR_p_Poly1L, f1, FR_p_Temp1L // High poly |
0347518d | 3926 | nop.i 0 |
d5efd131 | 3927 | } |
0347518d MF |
3928 | { .mfi |
3929 | nop.m 0 | |
d5efd131 | 3930 | fma.s1 FR_p_PolyTail = FR_p_A14, FR_p_XR8, FR_p_A6 // poly tail |
0347518d | 3931 | nop.i 0 |
d5efd131 MF |
3932 | };; |
3933 | ||
0347518d MF |
3934 | { .mfi |
3935 | nop.m 0 | |
d5efd131 | 3936 | fms.s1 FR_r_Res3L = f1, f1, FR_r_Res3H // neg sin |
0347518d | 3937 | nop.i 0 |
d5efd131 | 3938 | } |
0347518d MF |
3939 | { .mfi |
3940 | nop.m 0 | |
d5efd131 | 3941 | fma.s1 FR_r_ResH = FR_r_Res3H, FR_r_XS, f0 // neg sin |
0347518d | 3942 | nop.i 0 |
d5efd131 MF |
3943 | };; |
3944 | ||
0347518d MF |
3945 | { .mfi |
3946 | nop.m 0 | |
d5efd131 | 3947 | fms.s1 FR_p_Temp0L = FR_p_Poly4H,FR_p_XR3,FR_p_Poly3H //Low poly |
0347518d | 3948 | nop.i 0 |
d5efd131 | 3949 | } |
0347518d MF |
3950 | { .mfi |
3951 | nop.m 0 | |
d5efd131 | 3952 | fma.s1 FR_p_Poly3L = FR_p_Poly4L,FR_p_XR3,FR_p_Poly3L //Low poly |
0347518d | 3953 | nop.i 0 |
d5efd131 MF |
3954 | };; |
3955 | ||
0347518d MF |
3956 | { .mfi |
3957 | nop.m 0 | |
d5efd131 | 3958 | fms.s1 FR_p_Poly0L = FR_p_Poly1H, f1, FR_p_Poly0H // Result |
0347518d | 3959 | nop.i 0 |
d5efd131 | 3960 | } |
0347518d MF |
3961 | { .mfi |
3962 | nop.m 0 | |
d5efd131 | 3963 | fma.s1 FR_z_ZL = FR_z_R1,FR_z_Y3, f0 // x_lo = r1*y3 |
0347518d | 3964 | nop.i 0 |
d5efd131 MF |
3965 | };; |
3966 | ||
0347518d MF |
3967 | { .mfi |
3968 | nop.m 0 | |
d5efd131 | 3969 | fma.s1 FR_r_TL = FR_r_TL, f1, FR_r_TT // neg sin |
0347518d | 3970 | nop.i 0 |
d5efd131 | 3971 | } |
0347518d MF |
3972 | { .mfi |
3973 | nop.m 0 | |
d5efd131 | 3974 | fma.s1 FR_r_A3 = FR_r_A4, FR_r_XS2, FR_r_A3 /// neg sin |
0347518d | 3975 | nop.i 0 |
d5efd131 MF |
3976 | };; |
3977 | ||
0347518d MF |
3978 | { .mfi |
3979 | nop.m 0 | |
d5efd131 | 3980 | fma.s1 FR_p_Poly1L = FR_p_PolyTail,FR_p_XR6,FR_p_Poly1L // High |
0347518d | 3981 | nop.i 0 |
d5efd131 | 3982 | } |
0347518d MF |
3983 | { .mfi |
3984 | nop.m 0 | |
d5efd131 | 3985 | fma.s1 FR_r_A5 = FR_r_A6, FR_r_XS2, FR_r_A5 // neg sin |
0347518d | 3986 | nop.i 0 |
d5efd131 MF |
3987 | };; |
3988 | ||
0347518d MF |
3989 | { .mfi |
3990 | nop.m 0 | |
d5efd131 | 3991 | fma.s1 FR_r_Res3L = FR_r_Res3L, f1, FR_r_TH // neg sin |
0347518d | 3992 | nop.i 0 |
d5efd131 | 3993 | } |
0347518d MF |
3994 | { .mfi |
3995 | nop.m 0 | |
d5efd131 | 3996 | fms.s1 FR_r_ResL = FR_r_Res3H, FR_r_XS, FR_r_ResH // neg sin |
0347518d | 3997 | nop.i 0 |
d5efd131 MF |
3998 | };; |
3999 | ||
0347518d MF |
4000 | { .mfi |
4001 | nop.m 0 | |
d5efd131 | 4002 | fma.s1 FR_p_Poly3L = FR_p_Poly3L, f1, FR_p_Temp0L // Low poly |
0347518d | 4003 | nop.i 0 |
d5efd131 | 4004 | } |
0347518d MF |
4005 | { .mfi |
4006 | nop.m 0 | |
d5efd131 | 4007 | fma.s1 FR_r_A7 = FR_r_A9, FR_r_XS4, FR_r_A7 // neg sin |
0347518d | 4008 | nop.i 0 |
d5efd131 MF |
4009 | };; |
4010 | ||
0347518d MF |
4011 | { .mfi |
4012 | nop.m 0 | |
d5efd131 | 4013 | fma.s1 FR_p_Poly0L = FR_p_Poly0L, f1, FR_p_Poly3H // result |
0347518d | 4014 | nop.i 0 |
d5efd131 MF |
4015 | };; |
4016 | ||
0347518d MF |
4017 | { .mfi |
4018 | nop.m 0 | |
d5efd131 | 4019 | (p14) fma.s1 f8 = FR_p_Poly0H, FR_z_ZH, f0 // z*poly |
0347518d | 4020 | nop.i 0 |
d5efd131 | 4021 | } |
0347518d MF |
4022 | { .mfi |
4023 | nop.m 0 | |
d5efd131 | 4024 | fma.s1 FR_p_Temp1L = FR_p_Poly0H, FR_z_ZL, f0 // z*poly low |
0347518d | 4025 | nop.i 0 |
d5efd131 MF |
4026 | };; |
4027 | ||
0347518d MF |
4028 | { .mfi |
4029 | nop.m 0 | |
d5efd131 | 4030 | fma.s1 FR_r_A3 = FR_r_A5, FR_r_XS4, FR_r_A3 // sin tail |
0347518d | 4031 | nop.i 0 |
d5efd131 | 4032 | } |
0347518d MF |
4033 | { .mfi |
4034 | nop.m 0 | |
d5efd131 | 4035 | fma.s1 FR_r_XS7 = FR_r_XS4, FR_r_XS2, f0 // xs^6 |
0347518d | 4036 | nop.i 0 |
d5efd131 MF |
4037 | };; |
4038 | ||
0347518d MF |
4039 | { .mfi |
4040 | nop.m 0 | |
d5efd131 | 4041 | fma.s1 FR_r_Res3L = FR_r_Res3L, f1, FR_r_TL // sin low |
0347518d | 4042 | nop.i 0 |
d5efd131 | 4043 | } |
0347518d MF |
4044 | { .mfi |
4045 | nop.m 0 | |
d5efd131 | 4046 | fma.s1 FR_r_XS8 = FR_r_XS4, FR_r_XS4, f0 // xs^8 |
0347518d | 4047 | nop.i 0 |
d5efd131 MF |
4048 | };; |
4049 | ||
0347518d MF |
4050 | { .mfi |
4051 | nop.m 0 | |
d5efd131 | 4052 | fma.s1 FR_p_Temp0H = FR_p_Poly3L, f1, FR_p_Poly1L // result |
0347518d | 4053 | nop.i 0 |
d5efd131 MF |
4054 | };; |
4055 | ||
0347518d MF |
4056 | { .mfi |
4057 | nop.m 0 | |
d5efd131 | 4058 | (p14) fms.s1 FR_p_Temp1H = FR_p_Poly0H, FR_z_ZH, f8 // hi result |
0347518d | 4059 | nop.i 0 |
d5efd131 MF |
4060 | };; |
4061 | ||
0347518d MF |
4062 | { .mfi |
4063 | nop.m 0 | |
d5efd131 | 4064 | fma.s1 FR_r_XS7 = FR_r_XS7, FR_r_XS, f0 // xs^7 |
0347518d | 4065 | nop.i 0 |
d5efd131 MF |
4066 | };; |
4067 | ||
0347518d MF |
4068 | { .mfi |
4069 | nop.m 0 | |
d5efd131 | 4070 | fma.s1 FR_r_ResL = FR_r_Res3L, FR_r_XS, FR_r_ResL // lo result |
0347518d | 4071 | nop.i 0 |
d5efd131 | 4072 | } |
0347518d MF |
4073 | { .mfi |
4074 | nop.m 0 | |
d5efd131 | 4075 | fma.s1 FR_r_Tail = FR_r_A7, FR_r_XS8, FR_r_A3 // tail result |
0347518d | 4076 | nop.i 0 |
d5efd131 MF |
4077 | };; |
4078 | ||
0347518d MF |
4079 | { .mfi |
4080 | nop.m 0 | |
d5efd131 | 4081 | fma.s1 FR_p_Poly0L = FR_p_Poly0L, f1, FR_p_Temp0H // lo result |
0347518d | 4082 | nop.i 0 |
d5efd131 MF |
4083 | };; |
4084 | ||
0347518d MF |
4085 | { .mfi |
4086 | nop.m 0 | |
d5efd131 | 4087 | fma.s1 FR_r_ResL = FR_r_Tail, FR_r_XS7, FR_r_ResL // lo result |
0347518d | 4088 | nop.i 0 |
d5efd131 MF |
4089 | };; |
4090 | ||
0347518d MF |
4091 | { .mfi |
4092 | nop.m 0 | |
d5efd131 | 4093 | (p14) fma.s1 FR_p_Temp1L = FR_p_Poly0L,FR_z_ZH,FR_p_Temp1L //hi result |
0347518d | 4094 | nop.i 0 |
d5efd131 MF |
4095 | };; |
4096 | ||
0347518d MF |
4097 | { .mfi |
4098 | nop.m 0 | |
d5efd131 | 4099 | fma.s1 FR_r_TT = FR_r_ResL, f1, f0 // for low result |
0347518d | 4100 | nop.i 0 |
d5efd131 MF |
4101 | };; |
4102 | ||
4103 | .pred.rel "mutex",p12,p13 | |
0347518d MF |
4104 | { .mfi |
4105 | nop.m 0 | |
d5efd131 | 4106 | (p14) fma.s1 FR_p_Temp1L = FR_p_Temp1L, f1, FR_p_Temp1H // for lo res |
0347518d | 4107 | nop.i 0 |
d5efd131 MF |
4108 | };; |
4109 | ||
0347518d | 4110 | { .mfi |
d5efd131 MF |
4111 | (p10) cmp.eq p13, p12 = r0, r0 // set p13, clear p12 |
4112 | fma.s1 FR_r_Res1H = FR_r_ResH, f1, FR_r_TT // hi res | |
0347518d | 4113 | nop.i 0 |
d5efd131 MF |
4114 | };; |
4115 | ||
0347518d | 4116 | { .mfb |
d5efd131 MF |
4117 | (p9) cmp.eq p13, p12 = r0, r0 // set p13, clear p12 |
4118 | (p14) fma.s0 f8 = f8, f1, FR_p_Temp1L // Final result | |
4119 | (p14) br.ret.spnt b0 // Exit for 0 < |X| < 1 path (positive arguments)/////// | |
4120 | };; | |
4121 | ||
0347518d | 4122 | { .mfi |
d5efd131 MF |
4123 | (p11) cmp.eq p13, p12 = r0, r0 // set p13, clear p12 |
4124 | fms.s1 FR_r_Res1L = FR_r_ResH, f1, FR_r_Res1H // Low sin result | |
0347518d | 4125 | nop.i 0 |
d5efd131 MF |
4126 | };; |
4127 | ||
0347518d MF |
4128 | { .mfi |
4129 | nop.m 0 | |
d5efd131 | 4130 | fma.s1 FR_r_Res1L = FR_r_Res1L, f1, FR_r_TT // Low sin result |
0347518d | 4131 | nop.i 0 |
d5efd131 | 4132 | } |
0347518d MF |
4133 | { .mfi |
4134 | nop.m 0 | |
d5efd131 | 4135 | fma.s1 FR_r_TL = FR_p_Poly0L,FR_r_Res1H,f0 //Low sin result |
0347518d | 4136 | nop.i 0 |
d5efd131 MF |
4137 | };; |
4138 | ||
0347518d MF |
4139 | { .mfi |
4140 | nop.m 0 | |
d5efd131 | 4141 | fma.s1 FR_r_TL = FR_p_Poly0H, FR_r_Res1L, FR_r_TL //Low sin |
0347518d | 4142 | nop.i 0 |
d5efd131 MF |
4143 | };; |
4144 | ||
0347518d MF |
4145 | { .mfi |
4146 | nop.m 0 | |
d5efd131 | 4147 | fma.s1 FR_r_ResH = FR_p_Poly0H, FR_r_Res1H, FR_r_TL //High sin |
0347518d | 4148 | nop.i 0 |
d5efd131 MF |
4149 | };; |
4150 | ||
0347518d MF |
4151 | { .mfi |
4152 | nop.m 0 | |
d5efd131 | 4153 | fms.s1 FR_r_ResL = FR_p_Poly0H,FR_r_Res1H,FR_r_ResH //Low res |
0347518d | 4154 | nop.i 0 |
d5efd131 MF |
4155 | };; |
4156 | ||
0347518d MF |
4157 | { .mfi |
4158 | nop.m 0 | |
d5efd131 | 4159 | frcpa.s1 FR_r_Y0,p0 = f1,FR_r_ResH // y = frcpa(b) |
0347518d | 4160 | nop.i 0 |
d5efd131 MF |
4161 | };; |
4162 | ||
0347518d MF |
4163 | { .mfi |
4164 | nop.m 0 | |
d5efd131 | 4165 | fneg FR_r_NegOne = f1 // Construct -1.0 |
0347518d | 4166 | nop.i 0 |
d5efd131 | 4167 | } |
0347518d MF |
4168 | { .mfi |
4169 | nop.m 0 | |
d5efd131 | 4170 | fma.s1 FR_r_ResL = FR_r_ResL, f1, FR_r_TL // low sin |
0347518d | 4171 | nop.i 0 |
d5efd131 MF |
4172 | };; |
4173 | ||
0347518d MF |
4174 | { .mfi |
4175 | nop.m 0 | |
d5efd131 | 4176 | fma.s1 FR_r_Q0 = f1,FR_r_Y0,f0 // q = a*y |
0347518d | 4177 | nop.i 0 |
d5efd131 | 4178 | } |
0347518d MF |
4179 | { .mfi |
4180 | nop.m 0 | |
4181 | fnma.s1 FR_r_E0 = FR_r_Y0,FR_r_ResH,f1 // e = 1-b*y | |
4182 | nop.i 0 | |
d5efd131 MF |
4183 | };; |
4184 | ||
0347518d MF |
4185 | { .mfi |
4186 | nop.m 0 | |
d5efd131 | 4187 | fma.s1 FR_r_E2 = FR_r_E0,FR_r_E0,FR_r_E0 // e2 = e+e^2 |
0347518d | 4188 | nop.i 0 |
d5efd131 | 4189 | } |
0347518d MF |
4190 | { .mfi |
4191 | nop.m 0 | |
d5efd131 | 4192 | fma.s1 FR_r_E1 = FR_r_E0,FR_r_E0,f0 // e1 = e^2 |
0347518d | 4193 | nop.i 0 |
d5efd131 MF |
4194 | };; |
4195 | ||
0347518d MF |
4196 | { .mfi |
4197 | nop.m 0 | |
d5efd131 | 4198 | fma.s1 FR_r_Y1 = FR_r_Y0,FR_r_E2,FR_r_Y0 // y1 = y+y*e2 |
0347518d | 4199 | nop.i 0 |
d5efd131 | 4200 | } |
0347518d MF |
4201 | { .mfi |
4202 | nop.m 0 | |
d5efd131 | 4203 | fma.s1 FR_r_E3 = FR_r_E1,FR_r_E1,FR_r_E0 // e3 = e+e1^2 |
0347518d | 4204 | nop.i 0 |
d5efd131 MF |
4205 | };; |
4206 | ||
0347518d MF |
4207 | { .mfi |
4208 | nop.m 0 | |
d5efd131 | 4209 | fma.s1 FR_r_Y2 = FR_r_Y1,FR_r_E3,FR_r_Y0 // y2 = y+y1*e3 |
0347518d | 4210 | nop.i 0 |
d5efd131 | 4211 | } |
0347518d MF |
4212 | { .mfi |
4213 | nop.m 0 | |
d5efd131 | 4214 | fnma.s1 FR_r_R0 = FR_r_ResH,FR_r_Q0,f1 // r = a-b*q |
0347518d | 4215 | nop.i 0 |
d5efd131 MF |
4216 | };; |
4217 | ||
0347518d MF |
4218 | { .mfi |
4219 | nop.m 0 | |
d5efd131 | 4220 | fnma.s1 FR_r_E4 = FR_r_ResH,FR_r_Y2,f1 // e4 = 1-b*y2 |
0347518d | 4221 | nop.i 0 |
d5efd131 | 4222 | } |
0347518d MF |
4223 | { .mfi |
4224 | nop.m 0 | |
d5efd131 | 4225 | fma.s1 FR_r_ZH = FR_r_R0,FR_r_Y2,FR_r_Q0 // x = q+r*y2 |
0347518d | 4226 | nop.i 0 |
d5efd131 MF |
4227 | };; |
4228 | ||
0347518d MF |
4229 | { .mfi |
4230 | nop.m 0 | |
d5efd131 | 4231 | fma.s1 FR_r_Y3 = FR_r_Y2,FR_r_E4,FR_r_Y2 // y3 = y2+y2*e4 |
0347518d | 4232 | nop.i 0 |
d5efd131 | 4233 | } |
0347518d MF |
4234 | { .mfi |
4235 | nop.m 0 | |
d5efd131 | 4236 | fnma.s1 FR_r_R1 = FR_r_ResH,FR_r_ZH,f1 // r1 = a-b*x |
0347518d | 4237 | nop.i 0 |
d5efd131 MF |
4238 | };; |
4239 | ||
0347518d MF |
4240 | { .mfi |
4241 | nop.m 0 | |
d5efd131 | 4242 | fnma.s1 FR_r_R1 = FR_r_ResL,FR_r_ZH,FR_r_R1 // r1=r1 - b_lo*X |
0347518d | 4243 | nop.i 0 |
d5efd131 | 4244 | } |
0347518d MF |
4245 | { .mfi |
4246 | nop.m 0 | |
d5efd131 | 4247 | fma.s1 FR_r_ZHN = FR_r_ZH,FR_r_NegOne, f0 // Negate |
0347518d | 4248 | nop.i 0 |
d5efd131 MF |
4249 | };; |
4250 | ||
4251 | .pred.rel "mutex",p13,p12 | |
0347518d MF |
4252 | { .mfb |
4253 | nop.m 0 | |
d5efd131 MF |
4254 | fnma.s0 f8 = FR_r_R1,FR_r_Y3,FR_r_ZHN // Result for neg |
4255 | br.ret.sptk b0 // Exit for 0 < |X| < 1 path (negative arguments)////// | |
4256 | };; | |
4257 | ||
4258 | ||
4259 | ||
4260 | ||
4261 | // SPECIALS (x for natval, nan, +/-inf or +/-0) /////////////////////////////// | |
4262 | //------------------------------------------------------------------------------ | |
4263 | .align 32 | |
4264 | tgammal_spec: | |
4265 | { .mlx | |
0347518d | 4266 | nop.m 0 |
d5efd131 MF |
4267 | movl GR_DenOverflow = 0x2000000000000001 |
4268 | } | |
4269 | { .mfi | |
4270 | nop.m 0 | |
4271 | fclass.m p9,p0 = f8,0xB // +/-denormals | |
4272 | nop.i 0 | |
4273 | };; | |
4274 | { .mfi | |
4275 | nop.m 0 | |
4276 | fclass.m p6,p0 = f8,0x1E1 // Test x for natval, nan, +inf | |
4277 | nop.i 0 | |
4278 | };; | |
4279 | { .mfi | |
4280 | nop.m 0 | |
4281 | fclass.m p7,p8 = f8,0x7 // +/-0 | |
4282 | nop.i 0 | |
4283 | } | |
4284 | ||
4285 | { .mfi | |
0347518d | 4286 | (p9) cmp.ltu.unc p10,p11 = GR_l_signif_Z, GR_DenOverflow |
d5efd131 | 4287 | (p9) fnorm.s0 f8 = f8 |
0347518d | 4288 | nop.i 0 |
d5efd131 MF |
4289 | };; |
4290 | ||
4291 | { .mfb | |
0347518d | 4292 | nop.m 0 |
d5efd131 MF |
4293 | (p9) fcvt.fx.trunc.s1 FR_n_IXN = FR_l_AbsX // Round by truncate |
4294 | (p11) br.cond.sptk tgamma_lt_1 // Return to gamma ('good' denormal)//////////// | |
4295 | };; | |
4296 | ||
4297 | { .mfb | |
0347518d MF |
4298 | nop.m 0 |
4299 | nop.f 0 | |
d5efd131 MF |
4300 | (p10) br.cond.spnt tgammal_overflow // "Bad" denormal - overflow! ///////////// |
4301 | };; | |
4302 | ||
4303 | { .mfi | |
4304 | nop.m 0 | |
4305 | mov FR_X = f8 // for error handler | |
4306 | nop.i 0 | |
4307 | } | |
4308 | { .mfb | |
4309 | nop.m 0 | |
4310 | (p6) fma.s0 f8 = f8,f1,f8 // res = x + x | |
4311 | (p6) br.ret.spnt b0 // Exit for NAN, INF and NatVals //////////////////////// | |
4312 | };; | |
4313 | .pred.rel "mutex",p7,p8 | |
4314 | { .mfi | |
4315 | (p7) mov GR_Parameter_TAG = 256 // negative | |
4316 | (p7) frcpa.s0 f8,p0 = f1,f8 // Raise V flag | |
0347518d | 4317 | nop.i 0 |
d5efd131 MF |
4318 | } |
4319 | { .mfb | |
4320 | nop.m 0 | |
0347518d | 4321 | nop.f 0 |
d5efd131 MF |
4322 | (p8) br.cond.spnt tgammal_singularity // Branch for +ZERO //////////////////// |
4323 | };; | |
4324 | ||
4325 | { .mfb | |
0347518d MF |
4326 | nop.m 0 |
4327 | nop.f 0 | |
d5efd131 MF |
4328 | br.cond.spnt tgammal_libm_err // Branch for -ZERO /////////////////////// |
4329 | };; | |
4330 | ||
4331 | ||
4332 | ||
4333 | ||
4334 | // SINGULARITY (x is negative integer or 0) //////////////////////////////////// | |
4335 | //------------------------------------------------------------------------------ | |
4336 | .align 32 | |
4337 | tgammal_singularity: | |
4338 | { .mfi | |
4339 | nop.m 0 | |
4340 | mov FR_X = f8 // For error handler | |
4341 | mov GR_Parameter_TAG = 256 // negative | |
4342 | } | |
4343 | { .mfb | |
4344 | nop.m 0 | |
4345 | frcpa.s0 f8,p0 = f0,f0 // Raise V flag | |
4346 | br.cond.sptk tgammal_libm_err // Call error handler ///////////////////// | |
4347 | // with singularity error ///////////////// | |
4348 | };; | |
4349 | ||
4350 | ||
4351 | ||
4352 | ||
4353 | // OVERFLOW (result is too big and cannot be represented by normal value) ////// | |
4354 | // ( X > 1755.54 and for denormals with abs value less than 0x2000000000000001 ) | |
4355 | //------------------------------------------------------------------------------ | |
4356 | .align 32 | |
4357 | tgammal_overflow: | |
4358 | { .mfi | |
4359 | addl r8 = 0x1FFFE, r0 // Exp of INF | |
4360 | fcmp.lt.s1 p15,p14 = f8,f0 // p14 - pos arg, p15 - neg arg | |
0347518d | 4361 | nop.i 0 |
d5efd131 MF |
4362 | };; |
4363 | ||
4364 | { .mfi | |
4365 | setf.exp f9 = r8 | |
4366 | mov FR_X = f8 // For error handler | |
4367 | mov GR_Parameter_TAG = 255 // overflow | |
4368 | };; | |
4369 | ||
4370 | .pred.rel "mutex",p14,p15 | |
4371 | { .mfi | |
0347518d | 4372 | nop.m 0 |
d5efd131 | 4373 | (p14) fma.s0 f8 = f9,f9,f0 // Set I,O and +INF result |
0347518d | 4374 | nop.i 0 |
d5efd131 MF |
4375 | } |
4376 | { .mfb | |
0347518d | 4377 | nop.m 0 |
d5efd131 MF |
4378 | (p15) fnma.s0 f8 = f9,f9,f0 // Set I,O and -INF result |
4379 | br.cond.sptk tgammal_libm_err // Call error handler ///////////////////// | |
4380 | // with overflow error //////////////////// | |
4381 | };; | |
4382 | ||
4383 | ||
4384 | ||
4385 | ||
4386 | ||
4387 | // UNDERFLOW (x is negative noninteger with big absolute value) //////////////// | |
4388 | //------------------------------------------------------------------------------ | |
4389 | .align 32 | |
4390 | tgammal_underflow: | |
4391 | { .mfi | |
0347518d | 4392 | nop.m 0 |
d5efd131 | 4393 | fcvt.fx.trunc.s1 FR_u_IXN = f8 // Convert arg to int repres. in FR |
0347518d | 4394 | nop.i 0 |
d5efd131 MF |
4395 | };; |
4396 | ||
4397 | { .mmi | |
4398 | getf.sig GR_u_XN = FR_u_IXN | |
4399 | mov r11 = 0x00001 | |
4400 | nop.i 0 | |
4401 | };; | |
4402 | ||
4403 | { .mfi | |
4404 | setf.exp f9 = r11 | |
4405 | nop.f 0 | |
4406 | nop.i 0 | |
4407 | };; | |
4408 | ||
4409 | { .mfi | |
4410 | nop.m 0 | |
4411 | nop.f 0 | |
4412 | tbit.z p6,p7 = GR_u_XN,0 // even or odd | |
4413 | };; | |
4414 | ||
4415 | .pred.rel "mutex",p6,p7 | |
4416 | { .mfi | |
4417 | nop.m 0 | |
4418 | (p6) fms.s0 f8 = f9,f9,f9 // for negatives | |
4419 | nop.i 0 | |
4420 | } | |
4421 | { .mfb | |
4422 | nop.m 0 | |
4423 | (p7) fma.s0 f8 = f9,f9,f9 // for positives | |
4424 | br.ret.sptk b0 // Exit for underflow path ////////////////////////////// | |
4425 | };; | |
4426 | ||
4427 | ||
4428 | GLOBAL_LIBM_END(tgammal) | |
4429 | ||
4430 | ||
4431 | ||
4432 | ||
4433 | ////////////////// Tgammal error handler /////////////////////////////////////// | |
4434 | //------------------------------------------------------------------------------ | |
4435 | LOCAL_LIBM_ENTRY(__libm_error_region) | |
4436 | tgammal_libm_err: | |
4437 | .prologue | |
4438 | { .mfi | |
4439 | add GR_Parameter_Y=-32,sp // Parameter 2 value | |
4440 | nop.f 0 | |
4441 | .save ar.pfs,GR_SAVE_PFS | |
4442 | mov GR_SAVE_PFS=ar.pfs // Save ar.pfs | |
4443 | } | |
4444 | { .mfi | |
4445 | .fframe 64 | |
4446 | add sp=-64,sp // Create new stack | |
4447 | nop.f 0 | |
4448 | mov GR_SAVE_GP=gp // Save gp | |
4449 | };; | |
4450 | { .mmi | |
4451 | stfe [GR_Parameter_Y] = FR_Y,16 // Save Parameter 2 on stack | |
4452 | add GR_Parameter_X = 16,sp // Parameter 1 address | |
4453 | .save b0, GR_SAVE_B0 | |
4454 | mov GR_SAVE_B0=b0 // Save b0 | |
4455 | };; | |
4456 | .body | |
4457 | { .mib | |
4458 | stfe [GR_Parameter_X] = FR_X // Store Parameter 1 on stack | |
4459 | add GR_Parameter_RESULT = 0,GR_Parameter_Y | |
4460 | nop.b 0 // Parameter 3 address | |
4461 | } | |
4462 | { .mib | |
4463 | stfe [GR_Parameter_Y] = FR_RESULT // Store Parameter 3 on stack | |
4464 | add GR_Parameter_Y = -16,GR_Parameter_Y | |
4465 | br.call.sptk b0=__libm_error_support# // Call error handling function | |
4466 | };; | |
4467 | { .mmi | |
4468 | nop.m 999 | |
4469 | nop.m 999 | |
4470 | add GR_Parameter_RESULT = 48,sp | |
4471 | };; | |
4472 | { .mmi | |
4473 | ldfe f8 = [GR_Parameter_RESULT] // Get return result off stack | |
4474 | .restore sp | |
4475 | add sp = 64,sp // Restore stack pointer | |
4476 | mov b0 = GR_SAVE_B0 // Restore return address | |
4477 | };; | |
4478 | { .mib | |
4479 | mov gp = GR_SAVE_GP // Restore gp | |
4480 | mov ar.pfs = GR_SAVE_PFS // Restore ar.pfs | |
4481 | br.ret.sptk b0 // Return | |
4482 | };; | |
4483 | ||
4484 | LOCAL_LIBM_END(__libm_error_region#) | |
4485 | ||
4486 | .type __libm_error_support#,@function | |
4487 | .global __libm_error_support# |