1 | /* Function coshf vectorized with AVX-512. |
2 | Copyright (C) 2021-2024 Free Software Foundation, Inc. |
3 | This file is part of the GNU C Library. |
4 | |
5 | The GNU C Library is free software; you can redistribute it and/or |
6 | modify it under the terms of the GNU Lesser General Public |
7 | License as published by the Free Software Foundation; either |
8 | version 2.1 of the License, or (at your option) any later version. |
9 | |
10 | The GNU C Library is distributed in the hope that it will be useful, |
11 | but WITHOUT ANY WARRANTY; without even the implied warranty of |
12 | MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU |
13 | Lesser General Public License for more details. |
14 | |
15 | You should have received a copy of the GNU Lesser General Public |
16 | License along with the GNU C Library; if not, see |
17 | https://www.gnu.org/licenses/. */ |
18 | |
19 | /* |
20 | * ALGORITHM DESCRIPTION: |
21 | * |
22 | * Compute cosh(x) as (exp(x)+exp(-x))/2, |
23 | * where exp is calculated as |
24 | * exp(M*ln2 + ln2*(j/2^k) + r) = 2^M * 2^(j/2^k) * exp(r) |
25 | * |
26 | * Special cases: |
27 | * |
28 | * cosh(NaN) = quiet NaN, and raise invalid exception |
29 | * cosh(INF) = that INF |
30 | * cosh(0) = 1 |
31 | * cosh(x) overflows for big x and returns MAXLOG+log(2) |
32 | * |
33 | */ |
34 | |
35 | /* Offsets for data table __svml_scosh_data_internal |
36 | */ |
37 | #define _sExp_tbl_PH 0 |
38 | #define _sExp_tbl_NH 128 |
39 | #define _sShifter_UISA 256 |
40 | #define _iDomainRange_UISA 320 |
41 | #define _sPC1_UISA 384 |
42 | #define _sPC2_UISA 448 |
43 | #define _sPC3_UISA 512 |
44 | #define _sInvLn2 576 |
45 | #define _sLn2hi 640 |
46 | #define _sLn2lo 704 |
47 | #define _sSign 768 |
48 | #define _iExpMask 832 |
49 | #define _sShifter 896 |
50 | #define _iDomainRange 960 |
51 | #define _sPC1 1024 |
52 | #define _sPC2 1088 |
53 | #define _sPC3 1152 |
54 | |
55 | #include <sysdep.h> |
56 | |
57 | .section .text.evex512, "ax" , @progbits |
58 | ENTRY(_ZGVeN16v_coshf_skx) |
59 | pushq %rbp |
60 | cfi_def_cfa_offset(16) |
61 | movq %rsp, %rbp |
62 | cfi_def_cfa(6, 16) |
63 | cfi_offset(6, -16) |
64 | andq $-64, %rsp |
65 | subq $192, %rsp |
66 | vmovups _sSign+__svml_scosh_data_internal(%rip), %zmm4 |
67 | vmovups _sShifter_UISA+__svml_scosh_data_internal(%rip), %zmm6 |
68 | |
69 | /* |
70 | * Load argument |
71 | * dM = x/log(2) + RShifter |
72 | */ |
73 | vmovups _sInvLn2+__svml_scosh_data_internal(%rip), %zmm10 |
74 | vmovups _sLn2hi+__svml_scosh_data_internal(%rip), %zmm7 |
75 | vmovups _sLn2lo+__svml_scosh_data_internal(%rip), %zmm9 |
76 | |
77 | /* */ |
78 | vmovups _sPC3_UISA+__svml_scosh_data_internal(%rip), %zmm2 |
79 | |
80 | /* x^2 */ |
81 | vmovups _sPC2_UISA+__svml_scosh_data_internal(%rip), %zmm3 |
82 | |
83 | /* G1, G2 2^N, 2^(-N) */ |
84 | vmovups __svml_scosh_data_internal(%rip), %zmm12 |
85 | vmovups _sExp_tbl_NH+__svml_scosh_data_internal(%rip), %zmm13 |
86 | |
87 | /* |
88 | * Implementation |
89 | * Abs argument |
90 | */ |
91 | vandnps %zmm0, %zmm4, %zmm1 |
92 | |
93 | /* Check for overflow\underflow */ |
94 | vpternlogd $255, %zmm5, %zmm5, %zmm5 |
95 | vfmadd213ps {rn-sae}, %zmm6, %zmm1, %zmm10 |
96 | vpcmpd $1, _iDomainRange_UISA+__svml_scosh_data_internal(%rip), %zmm1, %k1 |
97 | |
98 | /* iM now is an EXP(2^N) */ |
99 | vpslld $18, %zmm10, %zmm11 |
100 | |
101 | /* |
102 | * R |
103 | * sN = sM - RShifter |
104 | */ |
105 | vsubps {rn-sae}, %zmm6, %zmm10, %zmm8 |
106 | vpermt2ps _sExp_tbl_PH+64+__svml_scosh_data_internal(%rip), %zmm10, %zmm12 |
107 | vpermt2ps _sExp_tbl_NH+64+__svml_scosh_data_internal(%rip), %zmm10, %zmm13 |
108 | vpandnd %zmm1, %zmm1, %zmm5{%k1} |
109 | |
110 | /* sR = sX - sN*Log2_hi */ |
111 | vfnmadd231ps {rn-sae}, %zmm7, %zmm8, %zmm1 |
112 | vptestmd %zmm5, %zmm5, %k0 |
113 | |
114 | /* sR = (sX - sN*Log2_hi) - sN*Log2_lo */ |
115 | vfnmadd231ps {rn-sae}, %zmm9, %zmm8, %zmm1 |
116 | kmovw %k0, %edx |
117 | vmulps {rn-sae}, %zmm1, %zmm1, %zmm4 |
118 | vmulps {rn-sae}, %zmm4, %zmm2, %zmm2 |
119 | |
120 | /* sSinh_r = r + r*(r^2*(a3)) */ |
121 | vfmadd213ps {rn-sae}, %zmm1, %zmm1, %zmm2 |
122 | |
123 | /* sOut = r^2*(a2) */ |
124 | vmulps {rn-sae}, %zmm4, %zmm3, %zmm1 |
125 | vpandd _iExpMask+__svml_scosh_data_internal(%rip), %zmm11, %zmm14 |
126 | vpaddd %zmm14, %zmm12, %zmm15 |
127 | vpsubd %zmm14, %zmm13, %zmm10 |
128 | |
129 | /* sG2 = 2^N*Th + 2^(-N)*T_h */ |
130 | vaddps {rn-sae}, %zmm10, %zmm15, %zmm5 |
131 | |
132 | /* sG1 = 2^N*Th - 2^(-N)*T_h */ |
133 | vsubps {rn-sae}, %zmm10, %zmm15, %zmm6 |
134 | |
135 | /* res = sG1*(r + r*(r^2*(a3))) + sG2*(1+r^2*(a2)) */ |
136 | vfmadd213ps {rn-sae}, %zmm5, %zmm5, %zmm1 |
137 | vfmadd213ps {rn-sae}, %zmm1, %zmm2, %zmm6 |
138 | testl %edx, %edx |
139 | |
140 | /* Go to special inputs processing branch */ |
141 | jne L(SPECIAL_VALUES_BRANCH) |
142 | # LOE rbx r12 r13 r14 r15 edx zmm0 zmm6 |
143 | |
144 | /* Restore registers |
145 | * and exit the function |
146 | */ |
147 | |
148 | L(EXIT): |
149 | vmovaps %zmm6, %zmm0 |
150 | movq %rbp, %rsp |
151 | popq %rbp |
152 | cfi_def_cfa(7, 8) |
153 | cfi_restore(6) |
154 | ret |
155 | cfi_def_cfa(6, 16) |
156 | cfi_offset(6, -16) |
157 | |
158 | /* Branch to process |
159 | * special inputs |
160 | */ |
161 | |
162 | L(SPECIAL_VALUES_BRANCH): |
163 | vmovups %zmm0, 64(%rsp) |
164 | vmovups %zmm6, 128(%rsp) |
165 | # LOE rbx r12 r13 r14 r15 edx zmm6 |
166 | |
167 | xorl %eax, %eax |
168 | # LOE rbx r12 r13 r14 r15 eax edx |
169 | |
170 | vzeroupper |
171 | movq %r12, 16(%rsp) |
172 | /* DW_CFA_expression: r12 (r12) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -64; DW_OP_and; DW_OP_const4s: -176; DW_OP_plus) */ |
173 | .cfi_escape 0x10, 0x0c, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x50, 0xff, 0xff, 0xff, 0x22 |
174 | movl %eax, %r12d |
175 | movq %r13, 8(%rsp) |
176 | /* DW_CFA_expression: r13 (r13) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -64; DW_OP_and; DW_OP_const4s: -184; DW_OP_plus) */ |
177 | .cfi_escape 0x10, 0x0d, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x48, 0xff, 0xff, 0xff, 0x22 |
178 | movl %edx, %r13d |
179 | movq %r14, (%rsp) |
180 | /* DW_CFA_expression: r14 (r14) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -64; DW_OP_and; DW_OP_const4s: -192; DW_OP_plus) */ |
181 | .cfi_escape 0x10, 0x0e, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x40, 0xff, 0xff, 0xff, 0x22 |
182 | # LOE rbx r15 r12d r13d |
183 | |
184 | /* Range mask |
185 | * bits check |
186 | */ |
187 | |
188 | L(RANGEMASK_CHECK): |
189 | btl %r12d, %r13d |
190 | |
191 | /* Call scalar math function */ |
192 | jc L(SCALAR_MATH_CALL) |
193 | # LOE rbx r15 r12d r13d |
194 | |
195 | /* Special inputs |
196 | * processing loop |
197 | */ |
198 | |
199 | L(SPECIAL_VALUES_LOOP): |
200 | incl %r12d |
201 | cmpl $16, %r12d |
202 | |
203 | /* Check bits in range mask */ |
204 | jl L(RANGEMASK_CHECK) |
205 | # LOE rbx r15 r12d r13d |
206 | |
207 | movq 16(%rsp), %r12 |
208 | cfi_restore(12) |
209 | movq 8(%rsp), %r13 |
210 | cfi_restore(13) |
211 | movq (%rsp), %r14 |
212 | cfi_restore(14) |
213 | vmovups 128(%rsp), %zmm6 |
214 | |
215 | /* Go to exit */ |
216 | jmp L(EXIT) |
217 | /* DW_CFA_expression: r12 (r12) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -64; DW_OP_and; DW_OP_const4s: -176; DW_OP_plus) */ |
218 | .cfi_escape 0x10, 0x0c, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x50, 0xff, 0xff, 0xff, 0x22 |
219 | /* DW_CFA_expression: r13 (r13) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -64; DW_OP_and; DW_OP_const4s: -184; DW_OP_plus) */ |
220 | .cfi_escape 0x10, 0x0d, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x48, 0xff, 0xff, 0xff, 0x22 |
221 | /* DW_CFA_expression: r14 (r14) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -64; DW_OP_and; DW_OP_const4s: -192; DW_OP_plus) */ |
222 | .cfi_escape 0x10, 0x0e, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x40, 0xff, 0xff, 0xff, 0x22 |
223 | # LOE rbx r12 r13 r14 r15 zmm6 |
224 | |
225 | /* Scalar math function call |
226 | * to process special input |
227 | */ |
228 | |
229 | L(SCALAR_MATH_CALL): |
230 | movl %r12d, %r14d |
231 | vmovss 64(%rsp, %r14, 4), %xmm0 |
232 | call coshf@PLT |
233 | # LOE rbx r14 r15 r12d r13d xmm0 |
234 | |
235 | vmovss %xmm0, 128(%rsp, %r14, 4) |
236 | |
237 | /* Process special inputs in loop */ |
238 | jmp L(SPECIAL_VALUES_LOOP) |
239 | # LOE rbx r15 r12d r13d |
240 | END(_ZGVeN16v_coshf_skx) |
241 | |
242 | .section .rodata, "a" |
243 | .align 64 |
244 | |
245 | #ifdef __svml_scosh_data_internal_typedef |
246 | typedef unsigned int VUINT32; |
247 | typedef struct { |
248 | __declspec(align(64)) VUINT32 _sExp_tbl_PH[32][1]; |
249 | __declspec(align(64)) VUINT32 _sExp_tbl_NH[32][1]; |
250 | __declspec(align(64)) VUINT32 _sShifter_UISA[16][1]; |
251 | __declspec(align(64)) VUINT32 _iDomainRange_UISA[16][1]; |
252 | __declspec(align(64)) VUINT32 _sPC1_UISA[16][1]; |
253 | __declspec(align(64)) VUINT32 _sPC2_UISA[16][1]; |
254 | __declspec(align(64)) VUINT32 _sPC3_UISA[16][1]; |
255 | __declspec(align(64)) VUINT32 _sInvLn2[16][1]; |
256 | __declspec(align(64)) VUINT32 _sLn2hi[16][1]; |
257 | __declspec(align(64)) VUINT32 _sLn2lo[16][1]; |
258 | __declspec(align(64)) VUINT32 _sSign[16][1]; |
259 | __declspec(align(64)) VUINT32 _iExpMask[16][1]; |
260 | __declspec(align(64)) VUINT32 _sShifter[16][1]; |
261 | __declspec(align(64)) VUINT32 _iDomainRange[16][1]; |
262 | __declspec(align(64)) VUINT32 _sPC1[16][1]; |
263 | __declspec(align(64)) VUINT32 _sPC2[16][1]; |
264 | __declspec(align(64)) VUINT32 _sPC3[16][1]; |
265 | } __svml_scosh_data_internal; |
266 | #endif |
267 | __svml_scosh_data_internal: |
268 | /* _sExp_tbl_PH 2^(i/32-1), i=0..31 */ |
269 | .long 0x3f000000, 0x3f02cd87, 0x3f05aac3, 0x3f08980f |
270 | .long 0x3f0b95c2, 0x3f0ea43a, 0x3f11c3d3, 0x3f14f4f0 |
271 | .long 0x3f1837f0, 0x3f1b8d3a, 0x3f1ef532, 0x3f227043 |
272 | .long 0x3f25fed7, 0x3f29a15b, 0x3f2d583f, 0x3f3123f6 |
273 | .long 0x3f3504f3, 0x3f38fbaf, 0x3f3d08a4, 0x3f412c4d |
274 | .long 0x3f45672a, 0x3f49b9be, 0x3f4e248c, 0x3f52a81e |
275 | .long 0x3f5744fd, 0x3f5bfbb8, 0x3f60ccdf, 0x3f65b907 |
276 | .long 0x3f6ac0c7, 0x3f6fe4ba, 0x3f75257d, 0x3f7a83b3 |
277 | /* _sExp_tbl_NH 2^(-i/32-1), i=0..31 */ |
278 | .align 64 |
279 | .long 0x3f000000, 0x3efa83b3, 0x3ef5257d, 0x3eefe4ba |
280 | .long 0x3eeac0c7, 0x3ee5b907, 0x3ee0ccdf, 0x3edbfbb8 |
281 | .long 0x3ed744fd, 0x3ed2a81e, 0x3ece248c, 0x3ec9b9be |
282 | .long 0x3ec5672a, 0x3ec12c4d, 0x3ebd08a4, 0x3eb8fbaf |
283 | .long 0x3eb504f3, 0x3eb123f6, 0x3ead583f, 0x3ea9a15b |
284 | .long 0x3ea5fed7, 0x3ea27043, 0x3e9ef532, 0x3e9b8d3a |
285 | .long 0x3e9837f0, 0x3e94f4f0, 0x3e91c3d3, 0x3e8ea43a |
286 | .long 0x3e8b95c2, 0x3e88980f, 0x3e85aac3, 0x3e82cd87 |
287 | .align 64 |
288 | .long 0x48c00000, 0x48c00000, 0x48c00000, 0x48c00000, 0x48c00000, 0x48c00000, 0x48c00000, 0x48c00000, 0x48c00000, 0x48c00000, 0x48c00000, 0x48c00000, 0x48c00000, 0x48c00000, 0x48c00000, 0x48c00000 /* 1.5*2^18 _sShifter_UISA */ |
289 | .align 64 |
290 | .long 0x42AEAC4E, 0x42AEAC4E, 0x42AEAC4E, 0x42AEAC4E, 0x42AEAC4E, 0x42AEAC4E, 0x42AEAC4E, 0x42AEAC4E, 0x42AEAC4E, 0x42AEAC4E, 0x42AEAC4E, 0x42AEAC4E, 0x42AEAC4E, 0x42AEAC4E, 0x42AEAC4E, 0x42AEAC4E /* _iDomainRange_UISA */ |
291 | .align 64 |
292 | .long 0x3F800000, 0x3F800000, 0x3F800000, 0x3F800000, 0x3F800000, 0x3F800000, 0x3F800000, 0x3F800000, 0x3F800000, 0x3F800000, 0x3F800000, 0x3F800000, 0x3F800000, 0x3F800000, 0x3F800000, 0x3F800000 /* _sPC1_UISA=1 */ |
293 | .align 64 |
294 | .long 0x3f00010f, 0x3f00010f, 0x3f00010f, 0x3f00010f, 0x3f00010f, 0x3f00010f, 0x3f00010f, 0x3f00010f, 0x3f00010f, 0x3f00010f, 0x3f00010f, 0x3f00010f, 0x3f00010f, 0x3f00010f, 0x3f00010f, 0x3f00010f /* _sPC2_UISA */ |
295 | .align 64 |
296 | .long 0x3e2aaacd, 0x3e2aaacd, 0x3e2aaacd, 0x3e2aaacd, 0x3e2aaacd, 0x3e2aaacd, 0x3e2aaacd, 0x3e2aaacd, 0x3e2aaacd, 0x3e2aaacd, 0x3e2aaacd, 0x3e2aaacd, 0x3e2aaacd, 0x3e2aaacd, 0x3e2aaacd, 0x3e2aaacd /* _sPC3_UISA */ |
297 | .align 64 |
298 | .long 0x3FB8AA3B, 0x3FB8AA3B, 0x3FB8AA3B, 0x3FB8AA3B, 0x3FB8AA3B, 0x3FB8AA3B, 0x3FB8AA3B, 0x3FB8AA3B, 0x3FB8AA3B, 0x3FB8AA3B, 0x3FB8AA3B, 0x3FB8AA3B, 0x3FB8AA3B, 0x3FB8AA3B, 0x3FB8AA3B, 0x3FB8AA3B /* _sInvLn2 */ // k=0 |
299 | .align 64 |
300 | .long 0x3F317000, 0x3F317000, 0x3F317000, 0x3F317000, 0x3F317000, 0x3F317000, 0x3F317000, 0x3F317000, 0x3F317000, 0x3F317000, 0x3F317000, 0x3F317000, 0x3F317000, 0x3F317000, 0x3F317000, 0x3F317000 /* _sLn2hi */ |
301 | .align 64 |
302 | .long 0x3805fdf4, 0x3805fdf4, 0x3805fdf4, 0x3805fdf4, 0x3805fdf4, 0x3805fdf4, 0x3805fdf4, 0x3805fdf4, 0x3805fdf4, 0x3805fdf4, 0x3805fdf4, 0x3805fdf4, 0x3805fdf4, 0x3805fdf4, 0x3805fdf4, 0x3805fdf4 /* _sLn2lo */ |
303 | .align 64 |
304 | .long 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000 /* _sSign */ |
305 | .align 64 |
306 | .long 0x7f800000, 0x7f800000, 0x7f800000, 0x7f800000, 0x7f800000, 0x7f800000, 0x7f800000, 0x7f800000, 0x7f800000, 0x7f800000, 0x7f800000, 0x7f800000, 0x7f800000, 0x7f800000, 0x7f800000, 0x7f800000 /* _iExpMask */ |
307 | .align 64 |
308 | .long 0x4b400000, 0x4b400000, 0x4b400000, 0x4b400000, 0x4b400000, 0x4b400000, 0x4b400000, 0x4b400000, 0x4b400000, 0x4b400000, 0x4b400000, 0x4b400000, 0x4b400000, 0x4b400000, 0x4b400000, 0x4b400000 /* _sShifter */ |
309 | .align 64 |
310 | .long 0x42AEAC4E, 0x42AEAC4E, 0x42AEAC4E, 0x42AEAC4E, 0x42AEAC4E, 0x42AEAC4E, 0x42AEAC4E, 0x42AEAC4E, 0x42AEAC4E, 0x42AEAC4E, 0x42AEAC4E, 0x42AEAC4E, 0x42AEAC4E, 0x42AEAC4E, 0x42AEAC4E, 0x42AEAC4E /* _iDomainRange */ |
311 | .align 64 |
312 | .long 0x3F800000, 0x3F800000, 0x3F800000, 0x3F800000, 0x3F800000, 0x3F800000, 0x3F800000, 0x3F800000, 0x3F800000, 0x3F800000, 0x3F800000, 0x3F800000, 0x3F800000, 0x3F800000, 0x3F800000, 0x3F800000 /* _sPC1=1 */ |
313 | .align 64 |
314 | .long 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000 /* _sPC2 */ |
315 | .align 64 |
316 | .long 0x3e2aaa57, 0x3e2aaa57, 0x3e2aaa57, 0x3e2aaa57, 0x3e2aaa57, 0x3e2aaa57, 0x3e2aaa57, 0x3e2aaa57, 0x3e2aaa57, 0x3e2aaa57, 0x3e2aaa57, 0x3e2aaa57, 0x3e2aaa57, 0x3e2aaa57, 0x3e2aaa57, 0x3e2aaa57 /* _sPC3 */ |
317 | .align 64 |
318 | .type __svml_scosh_data_internal, @object |
319 | .size __svml_scosh_data_internal, .-__svml_scosh_data_internal |
320 | |