1 | /* Function acosf 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 | * SelMask = (|x| >= 0.5) ? 1 : 0; |
23 | * R = SelMask ? sqrt(0.5 - 0.5*|x|) : |x| |
24 | * acos(|x|) = SelMask ? 2*Poly(R) : (Pi/2 - Poly(R)) |
25 | * acos(x) = sign(x) ? (Pi - acos(|x|)) : acos(|x|) |
26 | * |
27 | * |
28 | */ |
29 | |
30 | /* Offsets for data table __svml_sacos_data_internal |
31 | */ |
32 | #define SgnBit 0 |
33 | #define OneHalf 64 |
34 | #define SmallNorm 128 |
35 | #define MOne 192 |
36 | #define Two 256 |
37 | #define sqrt_coeff_1 320 |
38 | #define sqrt_coeff_2 384 |
39 | #define poly_coeff_1 448 |
40 | #define poly_coeff_2 512 |
41 | #define poly_coeff_3 576 |
42 | #define poly_coeff_4 640 |
43 | #define poly_coeff_5 704 |
44 | #define Pi2H 768 |
45 | #define PiH 832 |
46 | |
47 | #include <sysdep.h> |
48 | |
49 | .section .text.evex512, "ax" , @progbits |
50 | ENTRY(_ZGVeN16v_acosf_skx) |
51 | pushq %rbp |
52 | cfi_def_cfa_offset(16) |
53 | movq %rsp, %rbp |
54 | cfi_def_cfa(6, 16) |
55 | cfi_offset(6, -16) |
56 | andq $-64, %rsp |
57 | subq $192, %rsp |
58 | vmovups __svml_sacos_data_internal(%rip), %zmm5 |
59 | vmovups OneHalf+__svml_sacos_data_internal(%rip), %zmm6 |
60 | |
61 | /* SQ ~ 2*sqrt(Y) */ |
62 | vmovups SmallNorm+__svml_sacos_data_internal(%rip), %zmm9 |
63 | vmovups MOne+__svml_sacos_data_internal(%rip), %zmm8 |
64 | vmovups Two+__svml_sacos_data_internal(%rip), %zmm12 |
65 | vmovups sqrt_coeff_1+__svml_sacos_data_internal(%rip), %zmm13 |
66 | vmovaps %zmm0, %zmm4 |
67 | |
68 | /* x = -|arg| */ |
69 | vorps %zmm4, %zmm5, %zmm3 |
70 | vandps %zmm4, %zmm5, %zmm2 |
71 | vmovups sqrt_coeff_2+__svml_sacos_data_internal(%rip), %zmm0 |
72 | |
73 | /* Y = 0.5 + 0.5*(-x) */ |
74 | vfmadd231ps {rn-sae}, %zmm3, %zmm6, %zmm6 |
75 | |
76 | /* x^2 */ |
77 | vmulps {rn-sae}, %zmm3, %zmm3, %zmm7 |
78 | vrsqrt14ps %zmm6, %zmm10 |
79 | vcmpps $17, {sae}, %zmm9, %zmm6, %k1 |
80 | vcmpps $22, {sae}, %zmm3, %zmm8, %k0 |
81 | vmovups poly_coeff_4+__svml_sacos_data_internal(%rip), %zmm9 |
82 | vminps {sae}, %zmm6, %zmm7, %zmm1 |
83 | vmovups poly_coeff_3+__svml_sacos_data_internal(%rip), %zmm7 |
84 | vxorps %zmm10, %zmm10, %zmm10{%k1} |
85 | vaddps {rn-sae}, %zmm6, %zmm6, %zmm14 |
86 | vmulps {rn-sae}, %zmm1, %zmm1, %zmm8 |
87 | vmulps {rn-sae}, %zmm10, %zmm10, %zmm11 |
88 | vmulps {rn-sae}, %zmm10, %zmm14, %zmm5 |
89 | vcmpps $21, {sae}, %zmm6, %zmm1, %k4 |
90 | |
91 | /* X<X^2 iff X<0 */ |
92 | vcmpps $17, {sae}, %zmm1, %zmm4, %k2 |
93 | |
94 | /* polynomial */ |
95 | vmovups poly_coeff_1+__svml_sacos_data_internal(%rip), %zmm6 |
96 | vfmsub213ps {rn-sae}, %zmm12, %zmm11, %zmm14 |
97 | vmovups poly_coeff_2+__svml_sacos_data_internal(%rip), %zmm11 |
98 | vfmadd231ps {rn-sae}, %zmm1, %zmm7, %zmm9 |
99 | vmovups poly_coeff_5+__svml_sacos_data_internal(%rip), %zmm10 |
100 | vmovups Pi2H+__svml_sacos_data_internal(%rip), %zmm12 |
101 | vfmadd231ps {rn-sae}, %zmm14, %zmm13, %zmm0 |
102 | vfmadd231ps {rn-sae}, %zmm1, %zmm6, %zmm11 |
103 | vmulps {rn-sae}, %zmm14, %zmm5, %zmm15 |
104 | vfmadd213ps {rn-sae}, %zmm9, %zmm8, %zmm11 |
105 | vxorps %zmm12, %zmm12, %zmm12{%k4} |
106 | vfnmadd213ps {rn-sae}, %zmm5, %zmm15, %zmm0 |
107 | vfmadd213ps {rn-sae}, %zmm10, %zmm1, %zmm11 |
108 | kmovw %k0, %edx |
109 | vmulps {rn-sae}, %zmm1, %zmm11, %zmm13 |
110 | vblendmps %zmm0, %zmm3, %zmm0{%k4} |
111 | vxorps %zmm2, %zmm0, %zmm1 |
112 | kandw %k4, %k2, %k3 |
113 | vfmadd213ps {rn-sae}, %zmm1, %zmm1, %zmm13 |
114 | vorps PiH+__svml_sacos_data_internal(%rip), %zmm12, %zmm12{%k3} |
115 | vaddps {rn-sae}, %zmm13, %zmm12, %zmm0 |
116 | testl %edx, %edx |
117 | |
118 | /* Go to special inputs processing branch */ |
119 | jne L(SPECIAL_VALUES_BRANCH) |
120 | # LOE rbx r12 r13 r14 r15 edx zmm0 zmm4 |
121 | |
122 | /* Restore registers |
123 | * and exit the function |
124 | */ |
125 | |
126 | L(EXIT): |
127 | movq %rbp, %rsp |
128 | popq %rbp |
129 | cfi_def_cfa(7, 8) |
130 | cfi_restore(6) |
131 | ret |
132 | cfi_def_cfa(6, 16) |
133 | cfi_offset(6, -16) |
134 | |
135 | /* Branch to process |
136 | * special inputs |
137 | */ |
138 | |
139 | L(SPECIAL_VALUES_BRANCH): |
140 | vmovups %zmm4, 64(%rsp) |
141 | vmovups %zmm0, 128(%rsp) |
142 | # LOE rbx r12 r13 r14 r15 edx zmm0 |
143 | |
144 | xorl %eax, %eax |
145 | # LOE rbx r12 r13 r14 r15 eax edx |
146 | |
147 | vzeroupper |
148 | movq %r12, 16(%rsp) |
149 | /* 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) */ |
150 | .cfi_escape 0x10, 0x0c, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x50, 0xff, 0xff, 0xff, 0x22 |
151 | movl %eax, %r12d |
152 | movq %r13, 8(%rsp) |
153 | /* 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) */ |
154 | .cfi_escape 0x10, 0x0d, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x48, 0xff, 0xff, 0xff, 0x22 |
155 | movl %edx, %r13d |
156 | movq %r14, (%rsp) |
157 | /* 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) */ |
158 | .cfi_escape 0x10, 0x0e, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x40, 0xff, 0xff, 0xff, 0x22 |
159 | # LOE rbx r15 r12d r13d |
160 | |
161 | /* Range mask |
162 | * bits check |
163 | */ |
164 | |
165 | L(RANGEMASK_CHECK): |
166 | btl %r12d, %r13d |
167 | |
168 | /* Call scalar math function */ |
169 | jc L(SCALAR_MATH_CALL) |
170 | # LOE rbx r15 r12d r13d |
171 | |
172 | /* Special inputs |
173 | * processing loop |
174 | */ |
175 | |
176 | L(SPECIAL_VALUES_LOOP): |
177 | incl %r12d |
178 | cmpl $16, %r12d |
179 | |
180 | /* Check bits in range mask */ |
181 | jl L(RANGEMASK_CHECK) |
182 | # LOE rbx r15 r12d r13d |
183 | |
184 | movq 16(%rsp), %r12 |
185 | cfi_restore(12) |
186 | movq 8(%rsp), %r13 |
187 | cfi_restore(13) |
188 | movq (%rsp), %r14 |
189 | cfi_restore(14) |
190 | vmovups 128(%rsp), %zmm0 |
191 | |
192 | /* Go to exit */ |
193 | jmp L(EXIT) |
194 | /* 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) */ |
195 | .cfi_escape 0x10, 0x0c, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x50, 0xff, 0xff, 0xff, 0x22 |
196 | /* 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) */ |
197 | .cfi_escape 0x10, 0x0d, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x48, 0xff, 0xff, 0xff, 0x22 |
198 | /* 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) */ |
199 | .cfi_escape 0x10, 0x0e, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x40, 0xff, 0xff, 0xff, 0x22 |
200 | # LOE rbx r12 r13 r14 r15 zmm0 |
201 | |
202 | /* Scalar math function call |
203 | * to process special input |
204 | */ |
205 | |
206 | L(SCALAR_MATH_CALL): |
207 | movl %r12d, %r14d |
208 | vmovss 64(%rsp, %r14, 4), %xmm0 |
209 | call acosf@PLT |
210 | # LOE rbx r14 r15 r12d r13d xmm0 |
211 | |
212 | vmovss %xmm0, 128(%rsp, %r14, 4) |
213 | |
214 | /* Process special inputs in loop */ |
215 | jmp L(SPECIAL_VALUES_LOOP) |
216 | # LOE rbx r15 r12d r13d |
217 | END(_ZGVeN16v_acosf_skx) |
218 | |
219 | .section .rodata, "a" |
220 | .align 64 |
221 | |
222 | #ifdef __svml_sacos_data_internal_typedef |
223 | typedef unsigned int VUINT32; |
224 | typedef struct { |
225 | __declspec(align(64)) VUINT32 SgnBit[16][1]; |
226 | __declspec(align(64)) VUINT32 OneHalf[16][1]; |
227 | __declspec(align(64)) VUINT32 SmallNorm[16][1]; |
228 | __declspec(align(64)) VUINT32 MOne[16][1]; |
229 | __declspec(align(64)) VUINT32 Two[16][1]; |
230 | __declspec(align(64)) VUINT32 sqrt_coeff[2][16][1]; |
231 | __declspec(align(64)) VUINT32 poly_coeff[5][16][1]; |
232 | __declspec(align(64)) VUINT32 Pi2H[16][1]; |
233 | __declspec(align(64)) VUINT32 PiH[16][1]; |
234 | } __svml_sacos_data_internal; |
235 | #endif |
236 | __svml_sacos_data_internal: |
237 | /* SgnBit */ |
238 | .long 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000 |
239 | /* OneHalf */ |
240 | .align 64 |
241 | .long 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000 |
242 | /* SmallNorm */ |
243 | .align 64 |
244 | .long 0x2f800000, 0x2f800000, 0x2f800000, 0x2f800000, 0x2f800000, 0x2f800000, 0x2f800000, 0x2f800000, 0x2f800000, 0x2f800000, 0x2f800000, 0x2f800000, 0x2f800000, 0x2f800000, 0x2f800000, 0x2f800000 |
245 | /* MOne */ |
246 | .align 64 |
247 | .long 0xbf800000, 0xbf800000, 0xbf800000, 0xbf800000, 0xbf800000, 0xbf800000, 0xbf800000, 0xbf800000, 0xbf800000, 0xbf800000, 0xbf800000, 0xbf800000, 0xbf800000, 0xbf800000, 0xbf800000, 0xbf800000 |
248 | /* Two */ |
249 | .align 64 |
250 | .long 0x40000000, 0x40000000, 0x40000000, 0x40000000, 0x40000000, 0x40000000, 0x40000000, 0x40000000, 0x40000000, 0x40000000, 0x40000000, 0x40000000, 0x40000000, 0x40000000, 0x40000000, 0x40000000 |
251 | /* sqrt_coeff[2] */ |
252 | .align 64 |
253 | .long 0xbdC00004, 0xbdC00004, 0xbdC00004, 0xbdC00004, 0xbdC00004, 0xbdC00004, 0xbdC00004, 0xbdC00004, 0xbdC00004, 0xbdC00004, 0xbdC00004, 0xbdC00004, 0xbdC00004, 0xbdC00004, 0xbdC00004, 0xbdC00004 /* sqrt_coeff2 */ |
254 | .long 0x3e800001, 0x3e800001, 0x3e800001, 0x3e800001, 0x3e800001, 0x3e800001, 0x3e800001, 0x3e800001, 0x3e800001, 0x3e800001, 0x3e800001, 0x3e800001, 0x3e800001, 0x3e800001, 0x3e800001, 0x3e800001 /* sqrt_coeff1 */ |
255 | /* poly_coeff[5] */ |
256 | .align 64 |
257 | .long 0x3d2EDC07, 0x3d2EDC07, 0x3d2EDC07, 0x3d2EDC07, 0x3d2EDC07, 0x3d2EDC07, 0x3d2EDC07, 0x3d2EDC07, 0x3d2EDC07, 0x3d2EDC07, 0x3d2EDC07, 0x3d2EDC07, 0x3d2EDC07, 0x3d2EDC07, 0x3d2EDC07, 0x3d2EDC07 /* poly_coeff5 */ |
258 | .long 0x3CC32A6B, 0x3CC32A6B, 0x3CC32A6B, 0x3CC32A6B, 0x3CC32A6B, 0x3CC32A6B, 0x3CC32A6B, 0x3CC32A6B, 0x3CC32A6B, 0x3CC32A6B, 0x3CC32A6B, 0x3CC32A6B, 0x3CC32A6B, 0x3CC32A6B, 0x3CC32A6B, 0x3CC32A6B /* poly_coeff4 */ |
259 | .long 0x3d3A9AB4, 0x3d3A9AB4, 0x3d3A9AB4, 0x3d3A9AB4, 0x3d3A9AB4, 0x3d3A9AB4, 0x3d3A9AB4, 0x3d3A9AB4, 0x3d3A9AB4, 0x3d3A9AB4, 0x3d3A9AB4, 0x3d3A9AB4, 0x3d3A9AB4, 0x3d3A9AB4, 0x3d3A9AB4, 0x3d3A9AB4 /* poly_coeff3 */ |
260 | .long 0x3d997C12, 0x3d997C12, 0x3d997C12, 0x3d997C12, 0x3d997C12, 0x3d997C12, 0x3d997C12, 0x3d997C12, 0x3d997C12, 0x3d997C12, 0x3d997C12, 0x3d997C12, 0x3d997C12, 0x3d997C12, 0x3d997C12, 0x3d997C12 /* poly_coeff2 */ |
261 | .long 0x3e2AAAFF, 0x3e2AAAFF, 0x3e2AAAFF, 0x3e2AAAFF, 0x3e2AAAFF, 0x3e2AAAFF, 0x3e2AAAFF, 0x3e2AAAFF, 0x3e2AAAFF, 0x3e2AAAFF, 0x3e2AAAFF, 0x3e2AAAFF, 0x3e2AAAFF, 0x3e2AAAFF, 0x3e2AAAFF, 0x3e2AAAFF /* poly_coeff1 */ |
262 | /* Pi2H */ |
263 | .align 64 |
264 | .long 0x3fc90FDB, 0x3fc90FDB, 0x3fc90FDB, 0x3fc90FDB, 0x3fc90FDB, 0x3fc90FDB, 0x3fc90FDB, 0x3fc90FDB, 0x3fc90FDB, 0x3fc90FDB, 0x3fc90FDB, 0x3fc90FDB, 0x3fc90FDB, 0x3fc90FDB, 0x3fc90FDB, 0x3fc90FDB |
265 | /* PiH */ |
266 | .align 64 |
267 | .long 0x40490FDB, 0x40490FDB, 0x40490FDB, 0x40490FDB, 0x40490FDB, 0x40490FDB, 0x40490FDB, 0x40490FDB, 0x40490FDB, 0x40490FDB, 0x40490FDB, 0x40490FDB, 0x40490FDB, 0x40490FDB, 0x40490FDB, 0x40490FDB |
268 | .align 64 |
269 | .type __svml_sacos_data_internal, @object |
270 | .size __svml_sacos_data_internal, .-__svml_sacos_data_internal |
271 | |