1 | /* Function sinhf vectorized with AVX2. |
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 sinh(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 | * sinh(NaN) = quiet NaN, and raise invalid exception |
29 | * sinh(INF) = that INF |
30 | * sinh(x) = x for subnormals |
31 | * sinh(x) overflows for big x and returns MAXLOG+log(2) |
32 | * |
33 | */ |
34 | |
35 | /* Offsets for data table __svml_ssinh_data_internal |
36 | */ |
37 | #define _sInvLn2 0 |
38 | #define _sLn2hi 32 |
39 | #define _sLn2lo 64 |
40 | #define _sSign 96 |
41 | #define _sShifter 128 |
42 | #define _iDomainRange 160 |
43 | #define _sPC1 192 |
44 | #define _sPC2 224 |
45 | #define _sPC3 256 |
46 | #define _sPC4 288 |
47 | #define _sPC5 320 |
48 | #define _sPC6 352 |
49 | #define _iHalf 384 |
50 | |
51 | #include <sysdep.h> |
52 | |
53 | .section .text.avx2, "ax" , @progbits |
54 | ENTRY(_ZGVdN8v_sinhf_avx2) |
55 | pushq %rbp |
56 | cfi_def_cfa_offset(16) |
57 | movq %rsp, %rbp |
58 | cfi_def_cfa(6, 16) |
59 | cfi_offset(6, -16) |
60 | andq $-32, %rsp |
61 | subq $96, %rsp |
62 | vmovups _sInvLn2+__svml_ssinh_data_internal(%rip), %ymm7 |
63 | vmovups _sShifter+__svml_ssinh_data_internal(%rip), %ymm4 |
64 | vmovups _sLn2hi+__svml_ssinh_data_internal(%rip), %ymm5 |
65 | |
66 | /* |
67 | * sinh(X) = sG2 + sG1*sinh(dR) + sG2*sR2*(a2+sR2*(a4+a6*sR2) |
68 | * sOut = (a4 +a6*sR2) |
69 | */ |
70 | vmovups _sPC6+__svml_ssinh_data_internal(%rip), %ymm14 |
71 | |
72 | /* |
73 | * sinh(r) = r*((a1=1)+r^2*(a3+r^2*(a5+{v1 r^2*a7})))) = r + r*(r^2*(a3+r^2*(a5+r^2*a7))) .... |
74 | * sSinh_r = (a3+r^2*a5) |
75 | */ |
76 | vmovups _sPC5+__svml_ssinh_data_internal(%rip), %ymm12 |
77 | vmovups _iHalf+__svml_ssinh_data_internal(%rip), %ymm8 |
78 | vmovaps %ymm0, %ymm2 |
79 | |
80 | /* |
81 | * Implementation |
82 | * Abs argument |
83 | */ |
84 | vandps _sSign+__svml_ssinh_data_internal(%rip), %ymm2, %ymm1 |
85 | vxorps %ymm2, %ymm1, %ymm0 |
86 | |
87 | /* |
88 | * Load argument |
89 | * dM = x/log(2) + RShifter |
90 | */ |
91 | vfmadd213ps %ymm4, %ymm0, %ymm7 |
92 | |
93 | /* |
94 | * R |
95 | * sN = sM - RShifter |
96 | */ |
97 | vsubps %ymm4, %ymm7, %ymm6 |
98 | |
99 | /* |
100 | * G1, G2 2^N, 2^(-N) |
101 | * iM now is an EXP(2^N) |
102 | */ |
103 | vpslld $23, %ymm7, %ymm9 |
104 | |
105 | /* |
106 | * Check for overflow\underflow |
107 | * MORE faster than GE? |
108 | */ |
109 | vpcmpgtd _iDomainRange+__svml_ssinh_data_internal(%rip), %ymm0, %ymm3 |
110 | |
111 | /* sR = sX - sN*Log2_hi */ |
112 | vfnmadd231ps %ymm5, %ymm6, %ymm0 |
113 | vpaddd %ymm9, %ymm8, %ymm10 |
114 | vpsubd %ymm9, %ymm8, %ymm11 |
115 | |
116 | /* sR = (sX - sN*Log2_hi) - sN*Log2_lo */ |
117 | vfnmadd231ps _sLn2lo+__svml_ssinh_data_internal(%rip), %ymm6, %ymm0 |
118 | |
119 | /* sR2 = sR^2 */ |
120 | vmulps %ymm0, %ymm0, %ymm13 |
121 | vfmadd213ps _sPC4+__svml_ssinh_data_internal(%rip), %ymm13, %ymm14 |
122 | vfmadd213ps _sPC3+__svml_ssinh_data_internal(%rip), %ymm13, %ymm12 |
123 | |
124 | /* sOut = a2+sR2*(a4+a6*sR2) */ |
125 | vfmadd213ps _sPC2+__svml_ssinh_data_internal(%rip), %ymm13, %ymm14 |
126 | |
127 | /* sSinh_r = r^2*(a3+r^2*a5) */ |
128 | vmulps %ymm12, %ymm13, %ymm12 |
129 | |
130 | /* sOut = sR2*(a2+sR2*(a4+a6*sR2) */ |
131 | vmulps %ymm14, %ymm13, %ymm15 |
132 | |
133 | /* sSinh_r = r + r*(r^2*(a3+r^2*a5)) */ |
134 | vfmadd213ps %ymm0, %ymm0, %ymm12 |
135 | vmovmskps %ymm3, %edx |
136 | |
137 | /* sG1 = 2^(N-1)+2^(-N-1) */ |
138 | vaddps %ymm11, %ymm10, %ymm3 |
139 | |
140 | /* sG2 = 2^(N-1)-2^(-N-1) */ |
141 | vsubps %ymm11, %ymm10, %ymm10 |
142 | |
143 | /* sOut = sG2*sR2*(a2+sR2*(a4+a6*sR2) */ |
144 | vmulps %ymm15, %ymm10, %ymm0 |
145 | |
146 | /* sOut = sG1*sinh(dR)+sG2*sR2*(a2+sR2*(a4+a6*sR2) */ |
147 | vfmadd213ps %ymm0, %ymm12, %ymm3 |
148 | |
149 | /* sOut = sG2 + sG1*sinh(dR) + sG2*sR2*(a2+sR2*(a4+a6*sR2) */ |
150 | vaddps %ymm3, %ymm10, %ymm4 |
151 | |
152 | /* Ret H */ |
153 | vorps %ymm4, %ymm1, %ymm0 |
154 | testl %edx, %edx |
155 | |
156 | /* Go to special inputs processing branch */ |
157 | jne L(SPECIAL_VALUES_BRANCH) |
158 | # LOE rbx r12 r13 r14 r15 edx ymm0 ymm2 |
159 | |
160 | /* Restore registers |
161 | * and exit the function |
162 | */ |
163 | |
164 | L(EXIT): |
165 | movq %rbp, %rsp |
166 | popq %rbp |
167 | cfi_def_cfa(7, 8) |
168 | cfi_restore(6) |
169 | ret |
170 | cfi_def_cfa(6, 16) |
171 | cfi_offset(6, -16) |
172 | |
173 | /* Branch to process |
174 | * special inputs |
175 | */ |
176 | |
177 | L(SPECIAL_VALUES_BRANCH): |
178 | vmovups %ymm2, 32(%rsp) |
179 | vmovups %ymm0, 64(%rsp) |
180 | # LOE rbx r12 r13 r14 r15 edx ymm0 |
181 | |
182 | xorl %eax, %eax |
183 | # LOE rbx r12 r13 r14 r15 eax edx |
184 | |
185 | vzeroupper |
186 | movq %r12, 16(%rsp) |
187 | /* DW_CFA_expression: r12 (r12) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -32; DW_OP_and; DW_OP_const4s: -80; DW_OP_plus) */ |
188 | .cfi_escape 0x10, 0x0c, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xb0, 0xff, 0xff, 0xff, 0x22 |
189 | movl %eax, %r12d |
190 | movq %r13, 8(%rsp) |
191 | /* DW_CFA_expression: r13 (r13) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -32; DW_OP_and; DW_OP_const4s: -88; DW_OP_plus) */ |
192 | .cfi_escape 0x10, 0x0d, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xa8, 0xff, 0xff, 0xff, 0x22 |
193 | movl %edx, %r13d |
194 | movq %r14, (%rsp) |
195 | /* DW_CFA_expression: r14 (r14) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -32; DW_OP_and; DW_OP_const4s: -96; DW_OP_plus) */ |
196 | .cfi_escape 0x10, 0x0e, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xa0, 0xff, 0xff, 0xff, 0x22 |
197 | # LOE rbx r15 r12d r13d |
198 | |
199 | /* Range mask |
200 | * bits check |
201 | */ |
202 | |
203 | L(RANGEMASK_CHECK): |
204 | btl %r12d, %r13d |
205 | |
206 | /* Call scalar math function */ |
207 | jc L(SCALAR_MATH_CALL) |
208 | # LOE rbx r15 r12d r13d |
209 | |
210 | /* Special inputs |
211 | * processing loop |
212 | */ |
213 | |
214 | L(SPECIAL_VALUES_LOOP): |
215 | incl %r12d |
216 | cmpl $8, %r12d |
217 | |
218 | /* Check bits in range mask */ |
219 | jl L(RANGEMASK_CHECK) |
220 | # LOE rbx r15 r12d r13d |
221 | |
222 | movq 16(%rsp), %r12 |
223 | cfi_restore(12) |
224 | movq 8(%rsp), %r13 |
225 | cfi_restore(13) |
226 | movq (%rsp), %r14 |
227 | cfi_restore(14) |
228 | vmovups 64(%rsp), %ymm0 |
229 | |
230 | /* Go to exit */ |
231 | jmp L(EXIT) |
232 | /* DW_CFA_expression: r12 (r12) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -32; DW_OP_and; DW_OP_const4s: -80; DW_OP_plus) */ |
233 | .cfi_escape 0x10, 0x0c, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xb0, 0xff, 0xff, 0xff, 0x22 |
234 | /* DW_CFA_expression: r13 (r13) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -32; DW_OP_and; DW_OP_const4s: -88; DW_OP_plus) */ |
235 | .cfi_escape 0x10, 0x0d, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xa8, 0xff, 0xff, 0xff, 0x22 |
236 | /* DW_CFA_expression: r14 (r14) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -32; DW_OP_and; DW_OP_const4s: -96; DW_OP_plus) */ |
237 | .cfi_escape 0x10, 0x0e, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xa0, 0xff, 0xff, 0xff, 0x22 |
238 | # LOE rbx r12 r13 r14 r15 ymm0 |
239 | |
240 | /* Scalar math function call |
241 | * to process special input |
242 | */ |
243 | |
244 | L(SCALAR_MATH_CALL): |
245 | movl %r12d, %r14d |
246 | vmovss 32(%rsp, %r14, 4), %xmm0 |
247 | call sinhf@PLT |
248 | # LOE rbx r14 r15 r12d r13d xmm0 |
249 | |
250 | vmovss %xmm0, 64(%rsp, %r14, 4) |
251 | |
252 | /* Process special inputs in loop */ |
253 | jmp L(SPECIAL_VALUES_LOOP) |
254 | # LOE rbx r15 r12d r13d |
255 | END(_ZGVdN8v_sinhf_avx2) |
256 | |
257 | .section .rodata, "a" |
258 | .align 32 |
259 | |
260 | #ifdef __svml_ssinh_data_internal_typedef |
261 | typedef unsigned int VUINT32; |
262 | typedef struct { |
263 | __declspec(align(32)) VUINT32 _sInvLn2[8][1]; |
264 | __declspec(align(32)) VUINT32 _sLn2hi[8][1]; |
265 | __declspec(align(32)) VUINT32 _sLn2lo[8][1]; |
266 | __declspec(align(32)) VUINT32 _sSign[8][1]; |
267 | __declspec(align(32)) VUINT32 _sShifter[8][1]; |
268 | __declspec(align(32)) VUINT32 _iDomainRange[8][1]; |
269 | __declspec(align(32)) VUINT32 _sPC1[8][1]; |
270 | __declspec(align(32)) VUINT32 _sPC2[8][1]; |
271 | __declspec(align(32)) VUINT32 _sPC3[8][1]; |
272 | __declspec(align(32)) VUINT32 _sPC4[8][1]; |
273 | __declspec(align(32)) VUINT32 _sPC5[8][1]; |
274 | __declspec(align(32)) VUINT32 _sPC6[8][1]; |
275 | __declspec(align(32)) VUINT32 _iHalf[8][1]; |
276 | } __svml_ssinh_data_internal; |
277 | #endif |
278 | __svml_ssinh_data_internal: |
279 | .long 0x3FB8AA3B, 0x3FB8AA3B, 0x3FB8AA3B, 0x3FB8AA3B, 0x3FB8AA3B, 0x3FB8AA3B, 0x3FB8AA3B, 0x3FB8AA3B /* _sInvLn2 */ // k=0 |
280 | .align 32 |
281 | .long 0x3F317000, 0x3F317000, 0x3F317000, 0x3F317000, 0x3F317000, 0x3F317000, 0x3F317000, 0x3F317000 /* _sLn2hi */ |
282 | .align 32 |
283 | .long 0x3805FDF4, 0x3805FDF4, 0x3805FDF4, 0x3805FDF4, 0x3805FDF4, 0x3805FDF4, 0x3805FDF4, 0x3805FDF4 /* _sLn2lo */ |
284 | .align 32 |
285 | .long 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000 /* _sSign */ |
286 | .align 32 |
287 | .long 0x4b400000, 0x4b400000, 0x4b400000, 0x4b400000, 0x4b400000, 0x4b400000, 0x4b400000, 0x4b400000 /* _sShifter */ |
288 | .align 32 |
289 | .long 0x42AEAC4E, 0x42AEAC4E, 0x42AEAC4E, 0x42AEAC4E, 0x42AEAC4E, 0x42AEAC4E, 0x42AEAC4E, 0x42AEAC4E /* _iDomainRange */ |
290 | .align 32 |
291 | .long 0x3F800000, 0x3F800000, 0x3F800000, 0x3F800000, 0x3F800000, 0x3F800000, 0x3F800000, 0x3F800000 /* _sPC1=1 */ |
292 | .align 32 |
293 | .long 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000 /* _sPC2 */ |
294 | .align 32 |
295 | .long 0x3e2aaa57, 0x3e2aaa57, 0x3e2aaa57, 0x3e2aaa57, 0x3e2aaa57, 0x3e2aaa57, 0x3e2aaa57, 0x3e2aaa57 /* _sPC3 */ |
296 | .align 32 |
297 | .long 0x3d2aaa72, 0x3d2aaa72, 0x3d2aaa72, 0x3d2aaa72, 0x3d2aaa72, 0x3d2aaa72, 0x3d2aaa72, 0x3d2aaa72 /* _sPC4 */ |
298 | .align 32 |
299 | .long 0x3c091461, 0x3c091461, 0x3c091461, 0x3c091461, 0x3c091461, 0x3c091461, 0x3c091461, 0x3c091461 /* _sPC5 */ |
300 | .align 32 |
301 | .long 0x3ab6a8a3, 0x3ab6a8a3, 0x3ab6a8a3, 0x3ab6a8a3, 0x3ab6a8a3, 0x3ab6a8a3, 0x3ab6a8a3, 0x3ab6a8a3 /* _sPC6 */ |
302 | // Integer constants |
303 | .align 32 |
304 | .long 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000 /* _iHalf */ |
305 | .align 32 |
306 | .type __svml_ssinh_data_internal, @object |
307 | .size __svml_ssinh_data_internal, .-__svml_ssinh_data_internal |
308 | |