| 1 | /* Function powf vectorized with AVX-512. KNL and SKX versions. |
| 2 | Copyright (C) 2014-2024 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 | #include <sysdep.h> |
| 20 | #include "svml_s_powf_data.h" |
| 21 | #include "svml_s_wrapper_impl.h" |
| 22 | |
| 23 | /* |
| 24 | ALGORITHM DESCRIPTION: |
| 25 | |
| 26 | We are using the next identity : pow(x,y) = 2^(y * log2(x)). |
| 27 | |
| 28 | 1) log2(x) calculation |
| 29 | Here we use the following formula. |
| 30 | Let |x|=2^k1*X1, where k1 is integer, 1<=X1<2. |
| 31 | Let C ~= 1/ln(2), |
| 32 | Rcp1 ~= 1/X1, X2=Rcp1*X1, |
| 33 | Rcp2 ~= 1/X2, X3=Rcp2*X2, |
| 34 | Rcp3 ~= 1/X3, Rcp3C ~= C/X3. |
| 35 | Then |
| 36 | log2|x| = k1 + log2(1/Rcp1) + log2(1/Rcp2) + log2(C/Rcp3C) + |
| 37 | log2(X1*Rcp1*Rcp2*Rcp3C/C), |
| 38 | where X1*Rcp1*Rcp2*Rcp3C = C*(1+q), q is very small. |
| 39 | |
| 40 | The values of Rcp1, log2(1/Rcp1), Rcp2, log2(1/Rcp2), |
| 41 | Rcp3C, log2(C/Rcp3C) are taken from tables. |
| 42 | Values of Rcp1, Rcp2, Rcp3C are such that RcpC=Rcp1*Rcp2*Rcp3C |
| 43 | is exactly represented in target precision. |
| 44 | |
| 45 | log2(X1*Rcp1*Rcp2*Rcp3C/C) = log2(1+q) = ln(1+q)/ln2 = |
| 46 | = 1/(ln2)*q - 1/(2ln2)*q^2 + 1/(3ln2)*q^3 - ... = |
| 47 | = 1/(C*ln2)*cq - 1/(2*C^2*ln2)*cq^2 + 1/(3*C^3*ln2)*cq^3 - ... = |
| 48 | = (1 + a1)*cq + a2*cq^2 + a3*cq^3 + ..., |
| 49 | where |
| 50 | cq=X1*Rcp1*Rcp2*Rcp3C-C, |
| 51 | a1=1/(C*ln(2))-1 is small, |
| 52 | a2=1/(2*C^2*ln2), |
| 53 | a3=1/(3*C^3*ln2), |
| 54 | ... |
| 55 | Log2 result is split by three parts: HH+HL+HLL |
| 56 | |
| 57 | 2) Calculation of y*log2(x) |
| 58 | Split y into YHi+YLo. |
| 59 | Get high PH and medium PL parts of y*log2|x|. |
| 60 | Get low PLL part of y*log2|x|. |
| 61 | Now we have PH+PL+PLL ~= y*log2|x|. |
| 62 | |
| 63 | 3) Calculation of 2^(y*log2(x)) |
| 64 | Let's represent PH+PL+PLL in the form N + j/2^expK + Z, |
| 65 | where expK=7 in this implementation, N and j are integers, |
| 66 | 0<=j<=2^expK-1, |Z|<2^(-expK-1). Hence |
| 67 | 2^(PH+PL+PLL) ~= 2^N * 2^(j/2^expK) * 2^Z, |
| 68 | where 2^(j/2^expK) is stored in a table, and |
| 69 | 2^Z ~= 1 + B1*Z + B2*Z^2 ... + B5*Z^5. |
| 70 | We compute 2^(PH+PL+PLL) as follows: |
| 71 | Break PH into PHH + PHL, where PHH = N + j/2^expK. |
| 72 | Z = PHL + PL + PLL |
| 73 | Exp2Poly = B1*Z + B2*Z^2 ... + B5*Z^5 |
| 74 | Get 2^(j/2^expK) from table in the form THI+TLO. |
| 75 | Now we have 2^(PH+PL+PLL) ~= 2^N * (THI + TLO) * (1 + Exp2Poly). |
| 76 | Get significand of 2^(PH+PL+PLL) in the form ResHi+ResLo: |
| 77 | ResHi := THI |
| 78 | ResLo := THI * Exp2Poly + TLO |
| 79 | Get exponent ERes of the result: |
| 80 | Res := ResHi + ResLo: |
| 81 | Result := ex(Res) + N. */ |
| 82 | |
| 83 | .section .text.evex512, "ax" , @progbits |
| 84 | ENTRY (_ZGVeN16vv_powf_knl) |
| 85 | pushq %rbp |
| 86 | cfi_adjust_cfa_offset (8) |
| 87 | cfi_rel_offset (%rbp, 0) |
| 88 | movq %rsp, %rbp |
| 89 | cfi_def_cfa_register (%rbp) |
| 90 | andq $-64, %rsp |
| 91 | subq $1344, %rsp |
| 92 | movq __svml_spow_data@GOTPCREL(%rip), %rdx |
| 93 | vmovaps %zmm1, %zmm9 |
| 94 | vshuff32x4 $238, %zmm0, %zmm0, %zmm7 |
| 95 | kxnorw %k3, %k3, %k3 |
| 96 | vcvtps2pd %ymm0, %zmm14 |
| 97 | vcvtps2pd %ymm7, %zmm10 |
| 98 | movl $-1, %eax |
| 99 | movq $-1, %rcx |
| 100 | vpandd _ABSMASK(%rdx), %zmm9, %zmm4 |
| 101 | vmovups _ExpMask(%rdx), %zmm6 |
| 102 | |
| 103 | /* exponent bits selection */ |
| 104 | vpsrlq $20, %zmm14, %zmm13 |
| 105 | vshuff32x4 $238, %zmm9, %zmm9, %zmm8 |
| 106 | vpcmpd $5, _INF(%rdx), %zmm4, %k2 |
| 107 | vpsrlq $32, %zmm13, %zmm15 |
| 108 | vcvtps2pd %ymm8, %zmm2 |
| 109 | vmovups _Two10(%rdx), %zmm4 |
| 110 | vpmovqd %zmm15, %ymm12 |
| 111 | vcvtps2pd %ymm9, %zmm1 |
| 112 | vpsubd _NMINNORM(%rdx), %zmm0, %zmm3 |
| 113 | vpbroadcastd %eax, %zmm8{%k2}{z} |
| 114 | vpcmpd $5, _NMAXVAL(%rdx), %zmm3, %k1 |
| 115 | |
| 116 | /* preserve mantissa, set input exponent to 2^(-10) */ |
| 117 | vmovaps %zmm6, %zmm3 |
| 118 | vpternlogq $248, %zmm6, %zmm10, %zmm4 |
| 119 | vpsrlq $20, %zmm10, %zmm10 |
| 120 | vpternlogq $234, _Two10(%rdx), %zmm14, %zmm3 |
| 121 | |
| 122 | /* reciprocal approximation good to at least 11 bits */ |
| 123 | vrcp28pd %zmm4, %zmm11 |
| 124 | vpsrlq $32, %zmm10, %zmm14 |
| 125 | vpbroadcastd %eax, %zmm7{%k1}{z} |
| 126 | kxnorw %k1, %k1, %k1 |
| 127 | vrcp28pd %zmm3, %zmm5 |
| 128 | vpmovqd %zmm14, %ymm6 |
| 129 | vshufi32x4 $68, %zmm6, %zmm12, %zmm13 |
| 130 | vmovups _One(%rdx), %zmm6 |
| 131 | |
| 132 | /* round reciprocal to nearest integer, will have 1+9 mantissa bits */ |
| 133 | vrndscalepd $8, %zmm5, %zmm14 |
| 134 | |
| 135 | /* biased exponent in DP format */ |
| 136 | vshuff32x4 $238, %zmm13, %zmm13, %zmm5 |
| 137 | vrndscalepd $8, %zmm11, %zmm11 |
| 138 | vcmppd $30, _Threshold(%rdx), %zmm14, %k2 |
| 139 | vcvtdq2pd %ymm13, %zmm10 |
| 140 | vcvtdq2pd %ymm5, %zmm15 |
| 141 | |
| 142 | /* table lookup */ |
| 143 | vpsrlq $40, %zmm14, %zmm13 |
| 144 | vpxord %zmm5, %zmm5, %zmm5 |
| 145 | vgatherqpd _Log2Rcp_lookup(%rdx,%zmm13), %zmm5{%k3} |
| 146 | vfmsub213pd %zmm6, %zmm14, %zmm3 |
| 147 | vfmsub213pd %zmm6, %zmm11, %zmm4 |
| 148 | vcmppd $30, _Threshold(%rdx), %zmm11, %k3 |
| 149 | vpbroadcastq %rcx, %zmm14{%k2}{z} |
| 150 | |
| 151 | /* dpP= _dbT+lJ*T_ITEM_GRAN */ |
| 152 | kxnorw %k2, %k2, %k2 |
| 153 | vpsrlq $40, %zmm11, %zmm12 |
| 154 | vpxord %zmm6, %zmm6, %zmm6 |
| 155 | vpbroadcastq %rcx, %zmm11{%k3}{z} |
| 156 | kxnorw %k3, %k3, %k3 |
| 157 | vgatherqpd _Log2Rcp_lookup(%rdx,%zmm12), %zmm6{%k1} |
| 158 | vmovups _Bias1(%rdx), %zmm12 |
| 159 | vpternlogq $236, _Bias(%rdx), %zmm12, %zmm14 |
| 160 | vpternlogq $248, _Bias(%rdx), %zmm11, %zmm12 |
| 161 | vsubpd %zmm14, %zmm10, %zmm13 |
| 162 | vsubpd %zmm12, %zmm15, %zmm10 |
| 163 | vmovups _poly_coeff_3(%rdx), %zmm11 |
| 164 | vmovups _poly_coeff_4(%rdx), %zmm15 |
| 165 | vfmadd213pd %zmm15, %zmm4, %zmm11 |
| 166 | vmulpd %zmm4, %zmm4, %zmm12 |
| 167 | vmovaps %zmm15, %zmm14 |
| 168 | vmulpd %zmm3, %zmm3, %zmm15 |
| 169 | vfmadd231pd _poly_coeff_3(%rdx), %zmm3, %zmm14 |
| 170 | |
| 171 | /* reconstruction */ |
| 172 | vfmadd213pd %zmm4, %zmm12, %zmm11 |
| 173 | vfmadd213pd %zmm3, %zmm15, %zmm14 |
| 174 | vaddpd %zmm6, %zmm11, %zmm11 |
| 175 | vaddpd %zmm5, %zmm14, %zmm3 |
| 176 | vfmadd231pd _L2(%rdx), %zmm10, %zmm11 |
| 177 | vfmadd132pd _L2(%rdx), %zmm3, %zmm13 |
| 178 | vmulpd %zmm2, %zmm11, %zmm12 |
| 179 | vmulpd %zmm1, %zmm13, %zmm10 |
| 180 | vmulpd __dbInvLn2(%rdx), %zmm12, %zmm6 |
| 181 | |
| 182 | /* hi bits */ |
| 183 | vpsrlq $32, %zmm12, %zmm12 |
| 184 | vmulpd __dbInvLn2(%rdx), %zmm10, %zmm1 |
| 185 | |
| 186 | /* to round down; if dR is an integer we will get R = 1, which is ok */ |
| 187 | vsubpd __dbHALF(%rdx), %zmm6, %zmm4 |
| 188 | vpsrlq $32, %zmm10, %zmm11 |
| 189 | vpmovqd %zmm11, %ymm3 |
| 190 | vsubpd __dbHALF(%rdx), %zmm1, %zmm2 |
| 191 | vaddpd __dbShifter(%rdx), %zmm4, %zmm14 |
| 192 | vpmovqd %zmm12, %ymm4 |
| 193 | vshufi32x4 $68, %zmm4, %zmm3, %zmm5 |
| 194 | vpxord %zmm4, %zmm4, %zmm4 |
| 195 | vaddpd __dbShifter(%rdx), %zmm2, %zmm2 |
| 196 | |
| 197 | /* iAbsX = iAbsX&iAbsMask; */ |
| 198 | vpandd __iAbsMask(%rdx), %zmm5, %zmm11 |
| 199 | vpxord %zmm5, %zmm5, %zmm5 |
| 200 | vsubpd __dbShifter(%rdx), %zmm14, %zmm13 |
| 201 | |
| 202 | /* iRangeMask = (iAbsX>iDomainRange) */ |
| 203 | vpcmpgtd __iDomainRange(%rdx), %zmm11, %k1 |
| 204 | vsubpd __dbShifter(%rdx), %zmm2, %zmm15 |
| 205 | vpbroadcastd %eax, %zmm10{%k1}{z} |
| 206 | vpternlogd $254, %zmm8, %zmm7, %zmm10 |
| 207 | |
| 208 | /* [0..1) */ |
| 209 | vsubpd %zmm15, %zmm1, %zmm1 |
| 210 | |
| 211 | /* low K bits */ |
| 212 | vpandq __lbLOWKBITS(%rdx), %zmm14, %zmm11 |
| 213 | vgatherqpd 13952(%rdx,%zmm11,8), %zmm5{%k3} |
| 214 | vsubpd %zmm13, %zmm6, %zmm7 |
| 215 | vptestmd %zmm10, %zmm10, %k0 |
| 216 | vpandq __lbLOWKBITS(%rdx), %zmm2, %zmm10 |
| 217 | vmulpd __dbC1(%rdx), %zmm1, %zmm1 |
| 218 | vmulpd __dbC1(%rdx), %zmm7, %zmm3 |
| 219 | vpsrlq $11, %zmm2, %zmm8 |
| 220 | vpsrlq $11, %zmm14, %zmm2 |
| 221 | |
| 222 | /* NB : including +/- sign for the exponent!! */ |
| 223 | vpsllq $52, %zmm8, %zmm8 |
| 224 | kmovw %k0, %ecx |
| 225 | vpsllq $52, %zmm2, %zmm6 |
| 226 | vfmadd213pd %zmm5, %zmm3, %zmm5 |
| 227 | vgatherqpd 13952(%rdx,%zmm10,8), %zmm4{%k2} |
| 228 | vfmadd213pd %zmm4, %zmm1, %zmm4 |
| 229 | vpaddq %zmm6, %zmm5, %zmm10 |
| 230 | vcvtpd2ps %zmm10, %ymm12 |
| 231 | vpaddq %zmm8, %zmm4, %zmm7 |
| 232 | vcvtpd2ps %zmm7, %ymm11 |
| 233 | vshuff32x4 $68, %zmm12, %zmm11, %zmm1 |
| 234 | testl %ecx, %ecx |
| 235 | jne .LBL_1_3 |
| 236 | |
| 237 | .LBL_1_2: |
| 238 | cfi_remember_state |
| 239 | vmovaps %zmm1, %zmm0 |
| 240 | movq %rbp, %rsp |
| 241 | cfi_def_cfa_register (%rsp) |
| 242 | popq %rbp |
| 243 | cfi_adjust_cfa_offset (-8) |
| 244 | cfi_restore (%rbp) |
| 245 | ret |
| 246 | |
| 247 | .LBL_1_3: |
| 248 | cfi_restore_state |
| 249 | vmovups %zmm0, 1152(%rsp) |
| 250 | vmovups %zmm9, 1216(%rsp) |
| 251 | vmovups %zmm1, 1280(%rsp) |
| 252 | je .LBL_1_2 |
| 253 | |
| 254 | xorb %dl, %dl |
| 255 | kmovw %k4, 1048(%rsp) |
| 256 | xorl %eax, %eax |
| 257 | kmovw %k5, 1040(%rsp) |
| 258 | kmovw %k6, 1032(%rsp) |
| 259 | kmovw %k7, 1024(%rsp) |
| 260 | vmovups %zmm16, 960(%rsp) |
| 261 | vmovups %zmm17, 896(%rsp) |
| 262 | vmovups %zmm18, 832(%rsp) |
| 263 | vmovups %zmm19, 768(%rsp) |
| 264 | vmovups %zmm20, 704(%rsp) |
| 265 | vmovups %zmm21, 640(%rsp) |
| 266 | vmovups %zmm22, 576(%rsp) |
| 267 | vmovups %zmm23, 512(%rsp) |
| 268 | vmovups %zmm24, 448(%rsp) |
| 269 | vmovups %zmm25, 384(%rsp) |
| 270 | vmovups %zmm26, 320(%rsp) |
| 271 | vmovups %zmm27, 256(%rsp) |
| 272 | vmovups %zmm28, 192(%rsp) |
| 273 | vmovups %zmm29, 128(%rsp) |
| 274 | vmovups %zmm30, 64(%rsp) |
| 275 | vmovups %zmm31, (%rsp) |
| 276 | movq %rsi, 1064(%rsp) |
| 277 | movq %rdi, 1056(%rsp) |
| 278 | movq %r12, 1096(%rsp) |
| 279 | cfi_offset_rel_rsp (12, 1096) |
| 280 | movb %dl, %r12b |
| 281 | movq %r13, 1088(%rsp) |
| 282 | cfi_offset_rel_rsp (13, 1088) |
| 283 | movl %ecx, %r13d |
| 284 | movq %r14, 1080(%rsp) |
| 285 | cfi_offset_rel_rsp (14, 1080) |
| 286 | movl %eax, %r14d |
| 287 | movq %r15, 1072(%rsp) |
| 288 | cfi_offset_rel_rsp (15, 1072) |
| 289 | cfi_remember_state |
| 290 | |
| 291 | .LBL_1_6: |
| 292 | btl %r14d, %r13d |
| 293 | jc .LBL_1_12 |
| 294 | |
| 295 | .LBL_1_7: |
| 296 | lea 1(%r14), %esi |
| 297 | btl %esi, %r13d |
| 298 | jc .LBL_1_10 |
| 299 | |
| 300 | .LBL_1_8: |
| 301 | addb $1, %r12b |
| 302 | addl $2, %r14d |
| 303 | cmpb $16, %r12b |
| 304 | jb .LBL_1_6 |
| 305 | |
| 306 | kmovw 1048(%rsp), %k4 |
| 307 | movq 1064(%rsp), %rsi |
| 308 | kmovw 1040(%rsp), %k5 |
| 309 | movq 1056(%rsp), %rdi |
| 310 | kmovw 1032(%rsp), %k6 |
| 311 | movq 1096(%rsp), %r12 |
| 312 | cfi_restore (%r12) |
| 313 | movq 1088(%rsp), %r13 |
| 314 | cfi_restore (%r13) |
| 315 | kmovw 1024(%rsp), %k7 |
| 316 | vmovups 960(%rsp), %zmm16 |
| 317 | vmovups 896(%rsp), %zmm17 |
| 318 | vmovups 832(%rsp), %zmm18 |
| 319 | vmovups 768(%rsp), %zmm19 |
| 320 | vmovups 704(%rsp), %zmm20 |
| 321 | vmovups 640(%rsp), %zmm21 |
| 322 | vmovups 576(%rsp), %zmm22 |
| 323 | vmovups 512(%rsp), %zmm23 |
| 324 | vmovups 448(%rsp), %zmm24 |
| 325 | vmovups 384(%rsp), %zmm25 |
| 326 | vmovups 320(%rsp), %zmm26 |
| 327 | vmovups 256(%rsp), %zmm27 |
| 328 | vmovups 192(%rsp), %zmm28 |
| 329 | vmovups 128(%rsp), %zmm29 |
| 330 | vmovups 64(%rsp), %zmm30 |
| 331 | vmovups (%rsp), %zmm31 |
| 332 | movq 1080(%rsp), %r14 |
| 333 | cfi_restore (%r14) |
| 334 | movq 1072(%rsp), %r15 |
| 335 | cfi_restore (%r15) |
| 336 | vmovups 1280(%rsp), %zmm1 |
| 337 | jmp .LBL_1_2 |
| 338 | |
| 339 | .LBL_1_10: |
| 340 | cfi_restore_state |
| 341 | movzbl %r12b, %r15d |
| 342 | vmovss 1156(%rsp,%r15,8), %xmm0 |
| 343 | vmovss 1220(%rsp,%r15,8), %xmm1 |
| 344 | call JUMPTARGET(powf) |
| 345 | vmovss %xmm0, 1284(%rsp,%r15,8) |
| 346 | jmp .LBL_1_8 |
| 347 | |
| 348 | .LBL_1_12: |
| 349 | movzbl %r12b, %r15d |
| 350 | vmovss 1152(%rsp,%r15,8), %xmm0 |
| 351 | vmovss 1216(%rsp,%r15,8), %xmm1 |
| 352 | call JUMPTARGET(powf) |
| 353 | vmovss %xmm0, 1280(%rsp,%r15,8) |
| 354 | jmp .LBL_1_7 |
| 355 | END (_ZGVeN16vv_powf_knl) |
| 356 | |
| 357 | ENTRY (_ZGVeN16vv_powf_skx) |
| 358 | pushq %rbp |
| 359 | cfi_adjust_cfa_offset (8) |
| 360 | cfi_rel_offset (%rbp, 0) |
| 361 | movq %rsp, %rbp |
| 362 | cfi_def_cfa_register (%rbp) |
| 363 | andq $-64, %rsp |
| 364 | subq $1344, %rsp |
| 365 | movq __svml_spow_data@GOTPCREL(%rip), %rax |
| 366 | vextractf32x8 $1, %zmm1, %ymm14 |
| 367 | vextractf32x8 $1, %zmm0, %ymm15 |
| 368 | vpsubd _NMINNORM(%rax), %zmm0, %zmm9 |
| 369 | vmovups %zmm26, 1280(%rsp) |
| 370 | vmovups _ExpMask(%rax), %zmm6 |
| 371 | vpcmpd $1, _NMAXVAL(%rax), %zmm9, %k1 |
| 372 | vcvtps2pd %ymm0, %zmm5 |
| 373 | vcvtps2pd %ymm1, %zmm12 |
| 374 | kxnorw %k3, %k3, %k3 |
| 375 | |
| 376 | /* exponent bits selection */ |
| 377 | vpsrlq $20, %zmm5, %zmm3 |
| 378 | vpsrlq $32, %zmm3, %zmm2 |
| 379 | vpmovqd %zmm2, %ymm11 |
| 380 | vcvtps2pd %ymm14, %zmm13 |
| 381 | vpternlogd $0xff, %zmm14, %zmm14, %zmm14 |
| 382 | vmovaps %zmm14, %zmm26 |
| 383 | vpandd _ABSMASK(%rax), %zmm1, %zmm8 |
| 384 | vpcmpd $1, _INF(%rax), %zmm8, %k2 |
| 385 | vpandnd %zmm9, %zmm9, %zmm26{%k1} |
| 386 | vmovups _Two10(%rax), %zmm9 |
| 387 | kxnorw %k1, %k1, %k1 |
| 388 | vcvtps2pd %ymm15, %zmm4 |
| 389 | vmovaps %zmm14, %zmm15 |
| 390 | |
| 391 | /* preserve mantissa, set input exponent to 2^(-10) */ |
| 392 | vpternlogq $248, %zmm6, %zmm4, %zmm9 |
| 393 | vpsrlq $20, %zmm4, %zmm4 |
| 394 | |
| 395 | /* reciprocal approximation good to at least 11 bits */ |
| 396 | vrcp14pd %zmm9, %zmm10 |
| 397 | |
| 398 | /* round reciprocal to nearest integer, will have 1+9 mantissa bits */ |
| 399 | vrndscalepd $8, %zmm10, %zmm3 |
| 400 | vmovups _One(%rax), %zmm10 |
| 401 | vfmsub213pd %zmm10, %zmm3, %zmm9 |
| 402 | vpandnd %zmm8, %zmm8, %zmm15{%k2} |
| 403 | vmovaps %zmm6, %zmm8 |
| 404 | vpternlogq $234, _Two10(%rax), %zmm5, %zmm8 |
| 405 | vpsrlq $32, %zmm4, %zmm5 |
| 406 | vrcp14pd %zmm8, %zmm7 |
| 407 | vpmovqd %zmm5, %ymm6 |
| 408 | vrndscalepd $8, %zmm7, %zmm2 |
| 409 | vfmsub213pd %zmm10, %zmm2, %zmm8 |
| 410 | |
| 411 | /* table lookup */ |
| 412 | vpsrlq $40, %zmm2, %zmm10 |
| 413 | vinserti32x8 $1, %ymm6, %zmm11, %zmm4 |
| 414 | vpsrlq $40, %zmm3, %zmm11 |
| 415 | |
| 416 | /* biased exponent in DP format */ |
| 417 | vextracti32x8 $1, %zmm4, %ymm7 |
| 418 | vcvtdq2pd %ymm4, %zmm6 |
| 419 | vpmovqd %zmm10, %ymm4 |
| 420 | vpmovqd %zmm11, %ymm5 |
| 421 | vpxord %zmm10, %zmm10, %zmm10 |
| 422 | vgatherdpd _Log2Rcp_lookup(%rax,%ymm4), %zmm10{%k3} |
| 423 | vpternlogd $0xff, %zmm4, %zmm4, %zmm4 |
| 424 | vpxord %zmm11, %zmm11, %zmm11 |
| 425 | vcvtdq2pd %ymm7, %zmm7 |
| 426 | vgatherdpd _Log2Rcp_lookup(%rax,%ymm5), %zmm11{%k1} |
| 427 | vmovups _Threshold(%rax), %zmm5 |
| 428 | vcmppd $21, %zmm2, %zmm5, %k2 |
| 429 | vcmppd $21, %zmm3, %zmm5, %k3 |
| 430 | vmovups _Bias1(%rax), %zmm3 |
| 431 | vmovaps %zmm4, %zmm2 |
| 432 | vpandnq %zmm5, %zmm5, %zmm2{%k2} |
| 433 | vpternlogq $236, _Bias(%rax), %zmm3, %zmm2 |
| 434 | |
| 435 | /* dpP= _dbT+lJ*T_ITEM_GRAN */ |
| 436 | kxnorw %k2, %k2, %k2 |
| 437 | vpandnq %zmm5, %zmm5, %zmm4{%k3} |
| 438 | vpternlogq $248, _Bias(%rax), %zmm4, %zmm3 |
| 439 | vsubpd %zmm2, %zmm6, %zmm4 |
| 440 | vmovups _poly_coeff_3(%rax), %zmm6 |
| 441 | vmovups _poly_coeff_4(%rax), %zmm2 |
| 442 | vsubpd %zmm3, %zmm7, %zmm5 |
| 443 | vmulpd %zmm8, %zmm8, %zmm7 |
| 444 | vfmadd213pd %zmm2, %zmm9, %zmm6 |
| 445 | kxnorw %k3, %k3, %k3 |
| 446 | vmovaps %zmm2, %zmm3 |
| 447 | vmulpd %zmm9, %zmm9, %zmm2 |
| 448 | vfmadd231pd _poly_coeff_3(%rax), %zmm8, %zmm3 |
| 449 | |
| 450 | /* reconstruction */ |
| 451 | vfmadd213pd %zmm9, %zmm2, %zmm6 |
| 452 | vfmadd213pd %zmm8, %zmm7, %zmm3 |
| 453 | vaddpd %zmm11, %zmm6, %zmm8 |
| 454 | vaddpd %zmm10, %zmm3, %zmm9 |
| 455 | vfmadd231pd _L2(%rax), %zmm5, %zmm8 |
| 456 | vfmadd132pd _L2(%rax), %zmm9, %zmm4 |
| 457 | vmulpd %zmm13, %zmm8, %zmm13 |
| 458 | vmulpd %zmm12, %zmm4, %zmm3 |
| 459 | vmulpd __dbInvLn2(%rax), %zmm13, %zmm10 |
| 460 | vmulpd __dbInvLn2(%rax), %zmm3, %zmm8 |
| 461 | |
| 462 | /* hi bits */ |
| 463 | vpsrlq $32, %zmm3, %zmm4 |
| 464 | vpsrlq $32, %zmm13, %zmm13 |
| 465 | |
| 466 | /* to round down; if dR is an integer we will get R = 1, which is ok */ |
| 467 | vsubpd __dbHALF(%rax), %zmm8, %zmm12 |
| 468 | vpmovqd %zmm4, %ymm5 |
| 469 | vpmovqd %zmm13, %ymm2 |
| 470 | vsubpd __dbHALF(%rax), %zmm10, %zmm9 |
| 471 | vaddpd __dbShifter(%rax), %zmm12, %zmm7 |
| 472 | vaddpd __dbShifter(%rax), %zmm9, %zmm9 |
| 473 | vsubpd __dbShifter(%rax), %zmm7, %zmm11 |
| 474 | vsubpd __dbShifter(%rax), %zmm9, %zmm12 |
| 475 | vinserti32x8 $1, %ymm2, %zmm5, %zmm3 |
| 476 | |
| 477 | /* iAbsX = iAbsX&iAbsMask */ |
| 478 | vpandd __iAbsMask(%rax), %zmm3, %zmm4 |
| 479 | |
| 480 | /* iRangeMask = (iAbsX>iDomainRange) */ |
| 481 | vpcmpd $2, __iDomainRange(%rax), %zmm4, %k1 |
| 482 | vpandnd %zmm4, %zmm4, %zmm14{%k1} |
| 483 | vpternlogd $254, %zmm15, %zmm26, %zmm14 |
| 484 | |
| 485 | /* [0..1) */ |
| 486 | vsubpd %zmm11, %zmm8, %zmm15 |
| 487 | vsubpd %zmm12, %zmm10, %zmm26 |
| 488 | vptestmd %zmm14, %zmm14, %k0 |
| 489 | vpsrlq $11, %zmm7, %zmm8 |
| 490 | vpsrlq $11, %zmm9, %zmm10 |
| 491 | vmulpd __dbC1(%rax), %zmm26, %zmm26 |
| 492 | vmulpd __dbC1(%rax), %zmm15, %zmm15 |
| 493 | |
| 494 | /* NB : including +/- sign for the exponent!! */ |
| 495 | vpsllq $52, %zmm10, %zmm13 |
| 496 | vpsllq $52, %zmm8, %zmm12 |
| 497 | kmovw %k0, %ecx |
| 498 | |
| 499 | /* low K bits */ |
| 500 | vpandq __lbLOWKBITS(%rax), %zmm9, %zmm14 |
| 501 | vpandq __lbLOWKBITS(%rax), %zmm7, %zmm6 |
| 502 | vpmovqd %zmm14, %ymm7 |
| 503 | vpmovqd %zmm6, %ymm9 |
| 504 | vpxord %zmm2, %zmm2, %zmm2 |
| 505 | vgatherdpd 13952(%rax,%ymm7,8), %zmm2{%k3} |
| 506 | vfmadd213pd %zmm2, %zmm26, %zmm2 |
| 507 | vpaddq %zmm13, %zmm2, %zmm2 |
| 508 | vcvtpd2ps %zmm2, %ymm4 |
| 509 | vpxord %zmm11, %zmm11, %zmm11 |
| 510 | vgatherdpd 13952(%rax,%ymm9,8), %zmm11{%k2} |
| 511 | vfmadd213pd %zmm11, %zmm15, %zmm11 |
| 512 | vpaddq %zmm12, %zmm11, %zmm3 |
| 513 | vcvtpd2ps %zmm3, %ymm5 |
| 514 | vinsertf32x8 $1, %ymm4, %zmm5, %zmm2 |
| 515 | testl %ecx, %ecx |
| 516 | jne .LBL_2_3 |
| 517 | |
| 518 | .LBL_2_2: |
| 519 | cfi_remember_state |
| 520 | vmovups 1280(%rsp), %zmm26 |
| 521 | vmovaps %zmm2, %zmm0 |
| 522 | movq %rbp, %rsp |
| 523 | cfi_def_cfa_register (%rsp) |
| 524 | popq %rbp |
| 525 | cfi_adjust_cfa_offset (-8) |
| 526 | cfi_restore (%rbp) |
| 527 | ret |
| 528 | |
| 529 | .LBL_2_3: |
| 530 | cfi_restore_state |
| 531 | vmovups %zmm0, 1088(%rsp) |
| 532 | vmovups %zmm1, 1152(%rsp) |
| 533 | vmovups %zmm2, 1216(%rsp) |
| 534 | je .LBL_2_2 |
| 535 | |
| 536 | xorb %dl, %dl |
| 537 | xorl %eax, %eax |
| 538 | kmovw %k4, 984(%rsp) |
| 539 | kmovw %k5, 976(%rsp) |
| 540 | kmovw %k6, 968(%rsp) |
| 541 | kmovw %k7, 960(%rsp) |
| 542 | vmovups %zmm16, 896(%rsp) |
| 543 | vmovups %zmm17, 832(%rsp) |
| 544 | vmovups %zmm18, 768(%rsp) |
| 545 | vmovups %zmm19, 704(%rsp) |
| 546 | vmovups %zmm20, 640(%rsp) |
| 547 | vmovups %zmm21, 576(%rsp) |
| 548 | vmovups %zmm22, 512(%rsp) |
| 549 | vmovups %zmm23, 448(%rsp) |
| 550 | vmovups %zmm24, 384(%rsp) |
| 551 | vmovups %zmm25, 320(%rsp) |
| 552 | vmovups %zmm27, 256(%rsp) |
| 553 | vmovups %zmm28, 192(%rsp) |
| 554 | vmovups %zmm29, 128(%rsp) |
| 555 | vmovups %zmm30, 64(%rsp) |
| 556 | vmovups %zmm31, (%rsp) |
| 557 | movq %rsi, 1000(%rsp) |
| 558 | movq %rdi, 992(%rsp) |
| 559 | movq %r12, 1032(%rsp) |
| 560 | cfi_offset_rel_rsp (12, 1032) |
| 561 | movb %dl, %r12b |
| 562 | movq %r13, 1024(%rsp) |
| 563 | cfi_offset_rel_rsp (13, 1024) |
| 564 | movl %ecx, %r13d |
| 565 | movq %r14, 1016(%rsp) |
| 566 | cfi_offset_rel_rsp (14, 1016) |
| 567 | movl %eax, %r14d |
| 568 | movq %r15, 1008(%rsp) |
| 569 | cfi_offset_rel_rsp (15, 1008) |
| 570 | cfi_remember_state |
| 571 | |
| 572 | .LBL_2_6: |
| 573 | btl %r14d, %r13d |
| 574 | jc .LBL_2_12 |
| 575 | |
| 576 | .LBL_2_7: |
| 577 | lea 1(%r14), %esi |
| 578 | btl %esi, %r13d |
| 579 | jc .LBL_2_10 |
| 580 | |
| 581 | .LBL_2_8: |
| 582 | incb %r12b |
| 583 | addl $2, %r14d |
| 584 | cmpb $16, %r12b |
| 585 | jb .LBL_2_6 |
| 586 | |
| 587 | kmovw 984(%rsp), %k4 |
| 588 | kmovw 976(%rsp), %k5 |
| 589 | kmovw 968(%rsp), %k6 |
| 590 | kmovw 960(%rsp), %k7 |
| 591 | vmovups 896(%rsp), %zmm16 |
| 592 | vmovups 832(%rsp), %zmm17 |
| 593 | vmovups 768(%rsp), %zmm18 |
| 594 | vmovups 704(%rsp), %zmm19 |
| 595 | vmovups 640(%rsp), %zmm20 |
| 596 | vmovups 576(%rsp), %zmm21 |
| 597 | vmovups 512(%rsp), %zmm22 |
| 598 | vmovups 448(%rsp), %zmm23 |
| 599 | vmovups 384(%rsp), %zmm24 |
| 600 | vmovups 320(%rsp), %zmm25 |
| 601 | vmovups 256(%rsp), %zmm27 |
| 602 | vmovups 192(%rsp), %zmm28 |
| 603 | vmovups 128(%rsp), %zmm29 |
| 604 | vmovups 64(%rsp), %zmm30 |
| 605 | vmovups (%rsp), %zmm31 |
| 606 | vmovups 1216(%rsp), %zmm2 |
| 607 | movq 1000(%rsp), %rsi |
| 608 | movq 992(%rsp), %rdi |
| 609 | movq 1032(%rsp), %r12 |
| 610 | cfi_restore (%r12) |
| 611 | movq 1024(%rsp), %r13 |
| 612 | cfi_restore (%r13) |
| 613 | movq 1016(%rsp), %r14 |
| 614 | cfi_restore (%r14) |
| 615 | movq 1008(%rsp), %r15 |
| 616 | cfi_restore (%r15) |
| 617 | jmp .LBL_2_2 |
| 618 | |
| 619 | .LBL_2_10: |
| 620 | cfi_restore_state |
| 621 | movzbl %r12b, %r15d |
| 622 | vmovss 1156(%rsp,%r15,8), %xmm1 |
| 623 | vzeroupper |
| 624 | vmovss 1092(%rsp,%r15,8), %xmm0 |
| 625 | call JUMPTARGET(powf) |
| 626 | vmovss %xmm0, 1220(%rsp,%r15,8) |
| 627 | jmp .LBL_2_8 |
| 628 | |
| 629 | .LBL_2_12: |
| 630 | movzbl %r12b, %r15d |
| 631 | vmovss 1152(%rsp,%r15,8), %xmm1 |
| 632 | vzeroupper |
| 633 | vmovss 1088(%rsp,%r15,8), %xmm0 |
| 634 | call JUMPTARGET(powf) |
| 635 | vmovss %xmm0, 1216(%rsp,%r15,8) |
| 636 | jmp .LBL_2_7 |
| 637 | END (_ZGVeN16vv_powf_skx) |
| 638 | |