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1284 lines (1228 loc) · 165 KB
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/* Copyright (c) 2022 Arm Limited
* Copyright (c) 2022 Hanno Becker
* Copyright (c) 2023 Amin Abdulrahman, Matthias Kannwischer
* Copyright (c) The mlkem-native project authors
* Copyright (c) The mldsa-native project authors
* SPDX-License-Identifier: Apache-2.0 OR ISC OR MIT
*/
/* References
* ==========
*
* - [NeonNTT]
* Neon NTT: Faster Dilithium, Kyber, and Saber on Cortex-A72 and Apple M1
* Becker, Hwang, Kannwischer, Yang, Yang
* https://eprint.iacr.org/2021/986
*
* - [SLOTHY_Paper]
* Fast and Clean: Auditable high-performance assembly via constraint solving
* Abdulrahman, Becker, Kannwischer, Klein
* https://eprint.iacr.org/2022/1303
*/
/* AArch64 ML-DSA forward NTT following @[NeonNTT] and @[SLOTHY_Paper] */
#include "../../../common.h"
#if defined(MLD_ARITH_BACKEND_AARCH64) && !defined(MLD_CONFIG_MULTILEVEL_NO_SHARED)
/* simpasm: header-end */
.macro mulmodq dst, src, const, idx0, idx1
// Signed barrett multiplication @[NeonNTT, Section 3.1.2] using
// round-to-nearest-even-integer approximation. Following loc.cit.,
// this is functionally the same as a signed Montgomery multiplication
// with a suitable constant of absolute value < q.
sqrdmulh t2.4s, \src\().4s, \const\().s[\idx1\()]
mul \dst\().4s, \src\().4s, \const\().s[\idx0\()]
mls \dst\().4s, t2.4s, consts.s[0]
// Bounds: |dst| < BARMUL_BOUND
// (See the end of dev/aarch64_clean/src/intt.S for the exact value of
// BARMUL_BOUND)
.endm
.macro mulmod dst, src, const, const_twisted
// Same as mulmodq, but with different multiplier across each lanes.
sqrdmulh t2.4s, \src\().4s, \const_twisted\().4s
mul \dst\().4s, \src\().4s, \const\().4s
mls \dst\().4s, t2.4s, consts.s[0]
// Bounds: |dst| < BARMUL_BOUND
.endm
.macro ct_butterfly a, b, root, idx0, idx1
// Compute a' = a + barmul(b, zeta), b' = a - barmul(b, zeta), commonly
// known as the Cooley-Tukey butterfly.
mulmodq tmp, \b, \root, \idx0, \idx1
sub \b\().4s, \a\().4s, tmp.4s
add \a\().4s, \a\().4s, tmp.4s
// Bounds: |a'|, |b'| < |a| + BARMUL_BOUND <= |a| + q
// In conclusion, the magnitudes of all coefficients grow by at most q
// after each layer.
.endm
.macro ct_butterfly_v a, b, root, root_twisted
// Same as ct_butterfly, but with different zetas across each lanes.
mulmod tmp, \b, \root, \root_twisted
sub \b\().4s, \a\().4s, tmp.4s
add \a\().4s, \a\().4s, tmp.4s
// Bounds: |a'|, |b'| < |a| + BARMUL_BOUND <= |a| + q
.endm
.macro load_roots_123
ldr q_root0, [r012345_ptr], #(4*16)
ldr q_root1, [r012345_ptr, #(-4*16 + 1*16)]
ldr q_root2, [r012345_ptr, #(-4*16 + 2*16)]
ldr q_root3, [r012345_ptr, #(-4*16 + 3*16)]
.endm
.macro load_next_roots_456
ldr q_root0, [r012345_ptr], #(4*16)
ldr q_root1, [r012345_ptr, #(-4*16 + 1*16)]
ldr q_root2, [r012345_ptr, #(-4*16 + 2*16)]
ldr q_root3, [r012345_ptr, #(-4*16 + 3*16)]
.endm
.macro load_next_roots_78_1
ldr q_root0, [r67_ptr], #(12*16)
ldr q_root0_tw, [r67_ptr, #(-12*16 + 1*16)]
ldr q_root1, [r67_ptr, #(-12*16 + 2*16)]
ldr q_root1_tw, [r67_ptr, #(-12*16 + 3*16)]
ldr q_root2, [r67_ptr, #(-12*16 + 4*16)]
ldr q_root2_tw, [r67_ptr, #(-12*16 + 5*16)]
.endm
.macro load_next_roots_78_2
ldr q_root0, [r67_ptr, #(-12*16 + 6*16)]
ldr q_root0_tw, [r67_ptr, #(-12*16 + 7*16)]
ldr q_root1, [r67_ptr, #(-12*16 + 8*16)]
ldr q_root1_tw, [r67_ptr, #(-12*16 + 9*16)]
ldr q_root2, [r67_ptr, #(-12*16 + 10*16)]
ldr q_root2_tw, [r67_ptr, #(-12*16 + 11*16)]
.endm
.macro transpose4 data0, data1, data2, data3
trn1 t0.4s, \data0\().4s, \data1\().4s
trn2 t1.4s, \data0\().4s, \data1\().4s
trn1 t2.4s, \data2\().4s, \data3\().4s
trn2 t3.4s, \data2\().4s, \data3\().4s
trn2 \data2\().2d, t0.2d, t2.2d
trn2 \data3\().2d, t1.2d, t3.2d
trn1 \data0\().2d, t0.2d, t2.2d
trn1 \data1\().2d, t1.2d, t3.2d
.endm
.macro save_vregs
sub sp, sp, #(16*4)
stp d8, d9, [sp, #16*0]
stp d10, d11, [sp, #16*1]
stp d12, d13, [sp, #16*2]
stp d14, d15, [sp, #16*3]
.endm
.macro restore_vregs
ldp d8, d9, [sp, #16*0]
ldp d10, d11, [sp, #16*1]
ldp d12, d13, [sp, #16*2]
ldp d14, d15, [sp, #16*3]
add sp, sp, #(16*4)
.endm
.macro push_stack
save_vregs
.endm
.macro pop_stack
restore_vregs
.endm
// Arguments
in .req x0 // Input/output buffer
r012345_ptr .req x1 // twiddles for layer 0,1,2,3,4,5
r67_ptr .req x2 // twiddles for layer 6,7
inp .req x3
count .req x4
wtmp .req w5
data0 .req v8
data1 .req v9
data2 .req v10
data3 .req v11
data4 .req v12
data5 .req v13
data6 .req v14
data7 .req v15
q_data0 .req q8
q_data1 .req q9
q_data2 .req q10
q_data3 .req q11
q_data4 .req q12
q_data5 .req q13
q_data6 .req q14
q_data7 .req q15
root0 .req v0
root1 .req v1
root2 .req v2
root3 .req v3
root0_tw .req v4
root1_tw .req v5
root2_tw .req v6
q_root0 .req q0
q_root1 .req q1
q_root2 .req q2
q_root3 .req q3
q_root0_tw .req q4
q_root1_tw .req q5
q_root2_tw .req q6
consts .req v7
tmp .req v24
t0 .req v25
t1 .req v26
t2 .req v27
t3 .req v28
.text
.global MLD_ASM_NAMESPACE(ntt_aarch64_asm)
.balign 4
MLD_ASM_FN_SYMBOL(ntt_aarch64_asm)
push_stack
// Load MLDSA_Q = 8380417
movz wtmp, #0xe001
movk wtmp, #0x7f, lsl #16
dup consts.4s, wtmp
mov inp, in
mov count, #8
load_roots_123
.p2align 2
// Instructions: 77
// Expected cycles: 91
// Expected IPC: 0.85
// Cycle bound: 91.0
// IPC bound: 0.85
// Wall time: 2.15s
// User time: 2.15s
// ------------------------------------ cycle (expected) ------------------------------------>
// 0 25 50 75
// |------------------------|------------------------|------------------------|---------------
ldr q23, [x0, #912] // *..........................................................................................
ldr q13, [x0, #896] // *..........................................................................................
ldr q22, [x0, #128] // .*.........................................................................................
ldr q26, [x0, #400] // .*.........................................................................................
ldr q8, [x0, #640] // ..*........................................................................................
ldr q6, [x0, #528] // ...*.......................................................................................
mul v10.4S, v13.4S, v0.S[0] // ....*......................................................................................
sqrdmulh v13.4S, v13.4S, v0.S[1] // ......*....................................................................................
mul v12.4S, v8.4S, v0.S[0] // ........*..................................................................................
sqrdmulh v27.4S, v8.4S, v0.S[1] // ..........*................................................................................
mul v4.4S, v6.4S, v0.S[0] // ............*..............................................................................
mls v10.4S, v13.4S, v7.S[0] // ..............*............................................................................
ldr q13, [x0, #384] // ...............*...........................................................................
sqrdmulh v14.4S, v23.4S, v0.S[1] // ................*..........................................................................
mls v12.4S, v27.4S, v7.S[0] // ..................*........................................................................
add v31.4S, v13.4S, v10.4S // ...................*.......................................................................
sub v13.4S, v13.4S, v10.4S // ....................*......................................................................
mul v10.4S, v23.4S, v0.S[0] // ....................*......................................................................
sqrdmulh v8.4S, v13.4S, v1.S[1] // ......................*....................................................................
sub v18.4S, v22.4S, v12.4S // .......................*...................................................................
mls v10.4S, v14.4S, v7.S[0] // ........................*..................................................................
mul v13.4S, v13.4S, v1.S[0] // ..........................*................................................................
mls v13.4S, v8.4S, v7.S[0] // ............................*..............................................................
sub v29.4S, v26.4S, v10.4S // .............................*.............................................................
add v25.4S, v26.4S, v10.4S // ..............................*............................................................
mul v10.4S, v31.4S, v0.S[2] // ..............................*............................................................
mul v14.4S, v25.4S, v0.S[2] // ................................*..........................................................
add v17.4S, v18.4S, v13.4S // .................................*.........................................................
sub v15.4S, v18.4S, v13.4S // ..................................*........................................................
sqrdmulh v13.4S, v31.4S, v0.S[3] // ..................................*........................................................
sqrdmulh v20.4S, v15.4S, v3.S[1] // ....................................*......................................................
sqrdmulh v5.4S, v17.4S, v2.S[3] // ......................................*....................................................
mls v10.4S, v13.4S, v7.S[0] // ........................................*..................................................
ldr q13, [x0, #768] // .........................................*.................................................
mul v18.4S, v17.4S, v2.S[2] // ..........................................*................................................
add v31.4S, v22.4S, v12.4S // ...........................................*...............................................
mul v23.4S, v15.4S, v3.S[0] // ............................................*..............................................
ldr q17, [x0, #144] // .............................................*.............................................
add v19.4S, v31.4S, v10.4S // .............................................*.............................................
sub v16.4S, v31.4S, v10.4S // ..............................................*............................................
mul v10.4S, v13.4S, v0.S[0] // ..............................................*............................................
sqrdmulh v13.4S, v13.4S, v0.S[1] // ................................................*..........................................
sqrdmulh v27.4S, v16.4S, v2.S[1] // ..................................................*........................................
mul v11.4S, v16.4S, v2.S[0] // ....................................................*......................................
mls v10.4S, v13.4S, v7.S[0] // ......................................................*....................................
ldr q13, [x0, #656] // ......................................................*....................................
ldr q22, [x0, #256] // .......................................................*...................................
mls v11.4S, v27.4S, v7.S[0] // ........................................................*..................................
sqrdmulh v15.4S, v13.4S, v0.S[1] // ..........................................................*................................
sub v12.4S, v22.4S, v10.4S // ...........................................................*...............................
add v30.4S, v22.4S, v10.4S // ............................................................*..............................
mul v10.4S, v13.4S, v0.S[0] // ............................................................*..............................
ldr q28, [x0, #0] // .............................................................*.............................
sqrdmulh v13.4S, v25.4S, v0.S[3] // ..............................................................*............................
sqrdmulh v27.4S, v30.4S, v0.S[3] // ................................................................*..........................
mls v10.4S, v15.4S, v7.S[0] // ..................................................................*........................
mls v14.4S, v13.4S, v7.S[0] // ....................................................................*......................
ldr q13, [x0, #512] // ....................................................................*......................
sqrdmulh v25.4S, v12.4S, v1.S[1] // ......................................................................*....................
add v24.4S, v17.4S, v10.4S // .......................................................................*...................
sub v21.4S, v17.4S, v10.4S // ........................................................................*..................
sqrdmulh v8.4S, v13.4S, v0.S[1] // ........................................................................*..................
sub v9.4S, v24.4S, v14.4S // .........................................................................*.................
mul v26.4S, v12.4S, v1.S[0] // ..........................................................................*................
mul v13.4S, v13.4S, v0.S[0] // ............................................................................*..............
mls v13.4S, v8.4S, v7.S[0] // ..............................................................................*............
mul v8.4S, v30.4S, v0.S[2] // ................................................................................*..........
mls v8.4S, v27.4S, v7.S[0] // ..................................................................................*........
add v16.4S, v28.4S, v13.4S // ...................................................................................*.......
sub v10.4S, v28.4S, v13.4S // ....................................................................................*......
mls v26.4S, v25.4S, v7.S[0] // ....................................................................................*......
sqrdmulh v12.4S, v19.4S, v1.S[3] // ......................................................................................*....
sub v25.4S, v16.4S, v8.4S // .......................................................................................*...
mls v23.4S, v20.4S, v7.S[0] // ........................................................................................*..
sub v22.4S, v25.4S, v11.4S // .........................................................................................*.
sqrdmulh v20.4S, v9.4S, v2.S[1] // ..........................................................................................*
sub v15.4S, v10.4S, v26.4S // ..........................................................................................*
// ------------------------------------ cycle (expected) ------------------------------------>
// 0 25 50 75
// |------------------------|------------------------|------------------------|---------------
// ldr q30, [x0, #640] // ..*........................................................................................
// ldr q13, [x0, #896] // *..........................................................................................
// sqrdmulh v27.4S, v30.4S, v0.S[1] // ..........*................................................................................
// ldr q9, [x0, #384] // ...............*...........................................................................
// sqrdmulh v19.4S, v13.4S, v0.S[1] // ......*....................................................................................
// mul v8.4S, v13.4S, v0.S[0] // ....*......................................................................................
// mls v8.4S, v19.4S, v7.S[0] // ..............*............................................................................
// add v22.4S, v9.4S, v8.4S // ...................*.......................................................................
// ldr q6, [x0, #512] // ....................................................................*......................
// sub v29.4S, v9.4S, v8.4S // ....................*......................................................................
// mul v17.4S, v30.4S, v0.S[0] // ........*..................................................................................
// sqrdmulh v13.4S, v22.4S, v0.S[3] // ..................................*........................................................
// mul v14.4S, v22.4S, v0.S[2] // ..............................*............................................................
// mls v14.4S, v13.4S, v7.S[0] // ........................................*..................................................
// ldr q22, [x0, #128] // .*.........................................................................................
// mul v4.4S, v6.4S, v0.S[0] // ............................................................................*..............
// mls v17.4S, v27.4S, v7.S[0] // ..................*........................................................................
// add v24.4S, v22.4S, v17.4S // ...........................................*...............................................
// sub v21.4S, v22.4S, v17.4S // .......................*...................................................................
// sub v9.4S, v24.4S, v14.4S // ..............................................*............................................
// sqrdmulh v20.4S, v9.4S, v2.S[1] // ..................................................*........................................
// ldr q30, [x0, #656] // ......................................................*....................................
// mul v23.4S, v29.4S, v1.S[0] // ..........................*................................................................
// mul v11.4S, v9.4S, v2.S[0] // ....................................................*......................................
// ldr q28, [x0, #0] // .............................................................*.............................
// ldr q13, [x0, #912] // *..........................................................................................
// sqrdmulh v27.4S, v30.4S, v0.S[1] // ..........................................................*................................
// ldr q9, [x0, #400] // .*.........................................................................................
// sqrdmulh v10.4S, v6.4S, v0.S[1] // ........................................................................*..................
// sqrdmulh v19.4S, v13.4S, v0.S[1] // ................*..........................................................................
// mul v8.4S, v13.4S, v0.S[0] // ....................*......................................................................
// sqrdmulh v13.4S, v29.4S, v1.S[1] // ......................*....................................................................
// mls v8.4S, v19.4S, v7.S[0] // ........................*..................................................................
// mls v11.4S, v20.4S, v7.S[0] // ........................................................*..................................
// mls v23.4S, v13.4S, v7.S[0] // ............................*..............................................................
// add v22.4S, v9.4S, v8.4S // ..............................*............................................................
// ldr q6, [x0, #528] // ...*.......................................................................................
// sub v29.4S, v9.4S, v8.4S // .............................*.............................................................
// mul v17.4S, v30.4S, v0.S[0] // ............................................................*..............................
// ldr q9, [x0, #768] // .........................................*.................................................
// sqrdmulh v13.4S, v22.4S, v0.S[3] // ..............................................................*............................
// add v18.4S, v21.4S, v23.4S // .................................*.........................................................
// mls v4.4S, v10.4S, v7.S[0] // ..............................................................................*............
// sub v31.4S, v21.4S, v23.4S // ..................................*........................................................
// sqrdmulh v16.4S, v31.4S, v3.S[1] // ....................................*......................................................
// add v19.4S, v24.4S, v14.4S // .............................................*.............................................
// mul v14.4S, v22.4S, v0.S[2] // ................................*..........................................................
// sub v10.4S, v28.4S, v4.4S // ....................................................................................*......
// mls v14.4S, v13.4S, v7.S[0] // ....................................................................*......................
// ldr q13, [x0, #256] // .......................................................*...................................
// sqrdmulh v22.4S, v9.4S, v0.S[1] // ................................................*..........................................
// mul v8.4S, v9.4S, v0.S[0] // ..............................................*............................................
// mul v23.4S, v31.4S, v3.S[0] // ............................................*..............................................
// mls v8.4S, v22.4S, v7.S[0] // ......................................................*....................................
// mls v23.4S, v16.4S, v7.S[0] // ........................................................................................*..
// add v16.4S, v28.4S, v4.4S // ...................................................................................*.......
// ldr q22, [x0, #144] // .............................................*.............................................
// mul v4.4S, v6.4S, v0.S[0] // ............*..............................................................................
// mls v17.4S, v27.4S, v7.S[0] // ..................................................................*........................
// add v21.4S, v13.4S, v8.4S // ............................................................*..............................
// sub v27.4S, v13.4S, v8.4S // ...........................................................*...............................
// sqrdmulh v31.4S, v21.4S, v0.S[3] // ................................................................*..........................
// mul v8.4S, v21.4S, v0.S[2] // ................................................................................*..........
// add v24.4S, v22.4S, v17.4S // .......................................................................*...................
// sub v21.4S, v22.4S, v17.4S // ........................................................................*..................
// sqrdmulh v5.4S, v18.4S, v2.S[3] // ......................................*....................................................
// mls v8.4S, v31.4S, v7.S[0] // ..................................................................................*........
// sub v9.4S, v24.4S, v14.4S // .........................................................................*.................
// sqrdmulh v20.4S, v27.4S, v1.S[1] // ......................................................................*....................
// mul v26.4S, v27.4S, v1.S[0] // ..........................................................................*................
// sub v25.4S, v16.4S, v8.4S // .......................................................................................*...
// mul v18.4S, v18.4S, v2.S[2] // ..........................................*................................................
// sub v22.4S, v25.4S, v11.4S // .........................................................................................*.
// mls v26.4S, v20.4S, v7.S[0] // ....................................................................................*......
// sqrdmulh v20.4S, v9.4S, v2.S[1] // ..........................................................................................*
// sqrdmulh v12.4S, v19.4S, v1.S[3] // ......................................................................................*....
// sub v15.4S, v10.4S, v26.4S // ..........................................................................................*
sub count, count, #2
ntt_layer123_start:
// Instructions: 76
// Expected cycles: 72
// Expected IPC: 1.06
// Cycle bound: 72.0
// IPC bound: 1.06
// Wall time: 7.52s
// User time: 7.52s
// -------------------------- cycle (expected) --------------------------->
// 0 25 50
// |------------------------|------------------------|---------------------
add v31.4S, v10.4S, v26.4S // l.......................................................................
mul v17.4S, v19.4S, v1.S[2] // l.......................................................................
add v26.4S, v15.4S, v23.4S // .l......................................................................
ldr q30, [x0, #672] // .e......................................................................
sub v13.4S, v15.4S, v23.4S // ..l.....................................................................
mul v23.4S, v29.4S, v1.S[0] // ..*.....................................................................
add v25.4S, v25.4S, v11.4S // ...l....................................................................
str q22, [x0, #384] // ...l....................................................................
mul v11.4S, v9.4S, v2.S[0] // ....*...................................................................
str q13, [x0, #896] // ....l...................................................................
ldr q28, [x0, #16] // .....*..................................................................
add v10.4S, v16.4S, v8.4S // .....l..................................................................
mls v17.4S, v12.4S, v7.S[0] // ......l.................................................................
ldr q13, [x0, #928] // ......e.................................................................
str q26, [x0, #768] // .......l................................................................
sqrdmulh v27.4S, v30.4S, v0.S[1] // ........e...............................................................
mls v18.4S, v5.4S, v7.S[0] // ..........l.............................................................
ldr q9, [x0, #416] // ..........e.............................................................
sub v16.4S, v10.4S, v17.4S // ...........l............................................................
add v15.4S, v10.4S, v17.4S // ............l...........................................................
sqrdmulh v10.4S, v6.4S, v0.S[1] // ............*...........................................................
str q16, [x0, #128] // .............l..........................................................
str q15, [x0], #(16) // ..............l.........................................................
sqrdmulh v19.4S, v13.4S, v0.S[1] // ..............e.........................................................
sub v15.4S, v31.4S, v18.4S // ...............l........................................................
mul v8.4S, v13.4S, v0.S[0] // ................e.......................................................
add v26.4S, v31.4S, v18.4S // ................l.......................................................
str q15, [x0, #624] // .................l......................................................
sqrdmulh v13.4S, v29.4S, v1.S[1] // ..................*.....................................................
str q26, [x0, #496] // ..................l.....................................................
mls v8.4S, v19.4S, v7.S[0] // ....................e...................................................
mls v11.4S, v20.4S, v7.S[0] // ......................*.................................................
mls v23.4S, v13.4S, v7.S[0] // ........................*...............................................
add v22.4S, v9.4S, v8.4S // .........................e..............................................
ldr q6, [x0, #528] // .........................e..............................................
sub v29.4S, v9.4S, v8.4S // ..........................e.............................................
mul v17.4S, v30.4S, v0.S[0] // ..........................e.............................................
ldr q9, [x0, #768] // ...........................*............................................
sqrdmulh v13.4S, v22.4S, v0.S[3] // ............................e...........................................
add v18.4S, v21.4S, v23.4S // .............................*..........................................
mls v4.4S, v10.4S, v7.S[0] // ..............................*.........................................
sub v31.4S, v21.4S, v23.4S // ..............................*.........................................
sqrdmulh v16.4S, v31.4S, v3.S[1] // ................................*.......................................
add v19.4S, v24.4S, v14.4S // ................................*.......................................
mul v14.4S, v22.4S, v0.S[2] // ..................................e.....................................
sub v10.4S, v28.4S, v4.4S // ...................................*....................................
mls v14.4S, v13.4S, v7.S[0] // ....................................e...................................
ldr q13, [x0, #256] // ....................................*...................................
sqrdmulh v22.4S, v9.4S, v0.S[1] // ......................................*.................................
mul v8.4S, v9.4S, v0.S[0] // ........................................*...............................
mul v23.4S, v31.4S, v3.S[0] // ..........................................*.............................
mls v8.4S, v22.4S, v7.S[0] // ............................................*...........................
mls v23.4S, v16.4S, v7.S[0] // ..............................................*.........................
add v16.4S, v28.4S, v4.4S // ..............................................*.........................
ldr q22, [x0, #144] // ...............................................e........................
mul v4.4S, v6.4S, v0.S[0] // ................................................e.......................
mls v17.4S, v27.4S, v7.S[0] // ..................................................e.....................
add v21.4S, v13.4S, v8.4S // ..................................................*.....................
sub v27.4S, v13.4S, v8.4S // ....................................................*...................
sqrdmulh v31.4S, v21.4S, v0.S[3] // ....................................................*...................
str q25, [x0, #240] // ......................................................l.................
mul v8.4S, v21.4S, v0.S[2] // ......................................................*.................
add v24.4S, v22.4S, v17.4S // .......................................................e................
sub v21.4S, v22.4S, v17.4S // ........................................................e...............
sqrdmulh v5.4S, v18.4S, v2.S[3] // ........................................................*...............
mls v8.4S, v31.4S, v7.S[0] // ..........................................................*.............
sub v9.4S, v24.4S, v14.4S // ...........................................................e............
sqrdmulh v20.4S, v27.4S, v1.S[1] // ............................................................*...........
mul v26.4S, v27.4S, v1.S[0] // ..............................................................*.........
sub v25.4S, v16.4S, v8.4S // ...............................................................*........
mul v18.4S, v18.4S, v2.S[2] // ................................................................*.......
sub v22.4S, v25.4S, v11.4S // .................................................................*......
mls v26.4S, v20.4S, v7.S[0] // ..................................................................*.....
sqrdmulh v20.4S, v9.4S, v2.S[1] // ....................................................................e...
sqrdmulh v12.4S, v19.4S, v1.S[3] // ......................................................................*.
sub v15.4S, v10.4S, v26.4S // .......................................................................*
// ----------------------------------------------------------------------------------------- cycle (expected) ------------------------------------------------------------------------------------------>
// 0 25 50 75 100 125 150 175
// |------------------------|------------------------|------------------------|------------------------|------------------------|------------------------|------------------------|----------------------
// ldr q8, [x0, #0] // ....~..................................................................'....*..................................................................'....~.................................................
// ldr q9, [x0, #(1*(1024/8))] // ..............................................e........................'..............................................~........................'..............................................~.......
// ldr q10, [x0, #(2*(1024/8))] // ...................................~...................................'...................................*...................................'...................................~..................
// ldr q11, [x0, #(3*(1024/8))] // .........e.............................................................'.........~.............................................................'.........~............................................
// ldr q12, [x0, #(4*(1024/8))] // ........................e..............................................'........................~..............................................'........................~.............................
// ldr q13, [x0, #(5*(1024/8))] // e......................................................................'~......................................................................'~.....................................................
// ldr q14, [x0, #(6*(1024/8))] // ..........................~............................................'..........................*............................................'..........................~...........................
// ldr q15, [x0, #(7*(1024/8))] // .....e.................................................................'.....~.................................................................'.....~................................................
// sqrdmulh v27.4s, v12.4s, v0.s[1] // ...........~...........................................................'...........*...........................................................'...........~..........................................
// mul v24.4s, v12.4s, v0.s[0] // ...............................................e.......................'...............................................~.......................'...............................................~......
// mls v24.4s, v27.4s, v7.s[0] // .............................~.........................................'.............................*.........................................'.............................~........................
// sub v12.4s, v8.4s, v24.4s // ..................................~....................................'..................................*....................................'..................................~...................
// add v8.4s, v8.4s, v24.4s // .............................................~.........................'.............................................*.........................'.............................................~........
// sqrdmulh v27.4s, v13.4s, v0.s[1] // .......e...............................................................'.......~...............................................................'.......~..............................................
// mul v24.4s, v13.4s, v0.s[0] // .........................e.............................................'.........................~.............................................'.........................~............................
// mls v24.4s, v27.4s, v7.s[0] // .................................................e.....................'.................................................~.....................'.................................................~....
// sub v13.4s, v9.4s, v24.4s // .......................................................e...............'.......................................................~...............'......................................................
// add v9.4s, v9.4s, v24.4s // ......................................................e................'......................................................~................'......................................................
// sqrdmulh v27.4s, v14.4s, v0.s[1] // .....................................~.................................'.....................................*.................................'.....................................~................
// mul v24.4s, v14.4s, v0.s[0] // .......................................~...............................'.......................................*...............................'.......................................~..............
// mls v24.4s, v27.4s, v7.s[0] // ...........................................~...........................'...........................................*...........................'...........................................~..........
// sub v14.4s, v10.4s, v24.4s // ...................................................~...................'...................................................*...................'...................................................~..
// add v10.4s, v10.4s, v24.4s // .................................................~.....................'.................................................*.....................'.................................................~....
// sqrdmulh v27.4s, v15.4s, v0.s[1] // .............e.........................................................'.............~.........................................................'.............~........................................
// mul v24.4s, v15.4s, v0.s[0] // ...............e.......................................................'...............~.......................................................'...............~......................................
// mls v24.4s, v27.4s, v7.s[0] // ...................e...................................................'...................~...................................................'...................~..................................
// sub v15.4s, v11.4s, v24.4s // .........................e.............................................'.........................~.............................................'.........................~............................
// add v11.4s, v11.4s, v24.4s // ........................e..............................................'........................~..............................................'........................~.............................
// sqrdmulh v27.4s, v10.4s, v0.s[3] // ...................................................~...................'...................................................*...................'...................................................~..
// mul v24.4s, v10.4s, v0.s[2] // .....................................................~.................'.....................................................*.................'......................................................
// mls v24.4s, v27.4s, v7.s[0] // .........................................................~.............'.........................................................*.............'......................................................
// sub v10.4s, v8.4s, v24.4s // ..............................................................~........'..............................................................*........'......................................................
// add v8.4s, v8.4s, v24.4s // ....~..................................................................'....~..................................................................'....l.................................................
// sqrdmulh v27.4s, v11.4s, v0.s[3] // ...........................e...........................................'...........................~...........................................'...........................~..........................
// mul v24.4s, v11.4s, v0.s[2] // .................................e.....................................'.................................~.....................................'.................................~....................
// mls v24.4s, v27.4s, v7.s[0] // ...................................e...................................'...................................~...................................'...................................~..................
// sub v11.4s, v9.4s, v24.4s // ..........................................................e............'..........................................................~............'......................................................
// add v9.4s, v9.4s, v24.4s // ...............................~.......................................'...............................*.......................................'...............................~......................
// sqrdmulh v27.4s, v14.4s, v1.s[1] // ...........................................................~...........'...........................................................*...........'......................................................
// mul v24.4s, v14.4s, v1.s[0] // .............................................................~.........'.............................................................*.........'......................................................
// mls v24.4s, v27.4s, v7.s[0] // .................................................................~.....'.................................................................*.....'......................................................
// sub v14.4s, v12.4s, v24.4s // ......................................................................~'......................................................................*'......................................................
// add v12.4s, v12.4s, v24.4s // .......................................................................~.......................................................................l......................................................
// sqrdmulh v27.4s, v15.4s, v1.s[1] // .................~.....................................................'.................*.....................................................'.................~....................................
// mul v24.4s, v15.4s, v1.s[0] // .~.....................................................................'.*.....................................................................'.~....................................................
// mls v24.4s, v27.4s, v7.s[0] // .......................~...............................................'.......................*...............................................'.......................~..............................
// sub v15.4s, v13.4s, v24.4s // .............................~.........................................'.............................*.........................................'.............................~........................
// add v13.4s, v13.4s, v24.4s // ............................~..........................................'............................*..........................................'............................~.........................
// sqrdmulh v27.4s, v9.4s, v1.s[3] // .....................................................................~.'.....................................................................*.'......................................................
// mul v24.4s, v9.4s, v1.s[2] // .......................................................................~.......................................................................l......................................................
// mls v24.4s, v27.4s, v7.s[0] // .....~.................................................................'.....~.................................................................'.....l................................................
// sub v9.4s, v8.4s, v24.4s // ..........~............................................................'..........~............................................................'..........l...........................................
// add v8.4s, v8.4s, v24.4s // ...........~...........................................................'...........~...........................................................'...........l..........................................
// sqrdmulh v27.4s, v11.4s, v2.s[1] // ...................................................................e...'...................................................................~...'......................................................
// mul v24.4s, v11.4s, v2.s[0] // ...~...................................................................'...*...................................................................'...~..................................................
// mls v24.4s, v27.4s, v7.s[0] // .....................~.................................................'.....................*.................................................'.....................~................................
// sub v11.4s, v10.4s, v24.4s // ................................................................~......'................................................................*......'......................................................
// add v10.4s, v10.4s, v24.4s // ..~....................................................................'..~....................................................................'..l...................................................
// sqrdmulh v27.4s, v13.4s, v2.s[3] // .......................................................~...............'.......................................................*...............'......................................................
// mul v24.4s, v13.4s, v2.s[2] // ...............................................................~.......'...............................................................*.......'......................................................
// mls v24.4s, v27.4s, v7.s[0] // .........~.............................................................'.........~.............................................................'.........l............................................
// sub v13.4s, v12.4s, v24.4s // ..............~........................................................'..............~........................................................'..............l.......................................
// add v12.4s, v12.4s, v24.4s // ...............~.......................................................'...............~.......................................................'...............l......................................
// sqrdmulh v27.4s, v15.4s, v3.s[1] // ...............................~.......................................'...............................*.......................................'...............................~......................
// mul v24.4s, v15.4s, v3.s[0] // .........................................~.............................'.........................................*.............................'.........................................~............
// mls v24.4s, v27.4s, v7.s[0] // .............................................~.........................'.............................................*.........................'.............................................~........
// sub v15.4s, v14.4s, v24.4s // .~.....................................................................'.~.....................................................................'.l....................................................
// add v14.4s, v14.4s, v24.4s // ~......................................................................'~......................................................................'l.....................................................
// str q8, [x0], #(16) // .............~.........................................................'.............~.........................................................'.............l........................................
// str q9, [x0, #(-16 + 1*(1024/8))] // ............~..........................................................'............~..........................................................'............l.........................................
// str q10, [x0, #(-16 + 2*(1024/8))] // .....................................................~.................'.....................................................~.................'.....................................................l
// str q11, [x0, #(-16 + 3*(1024/8))] // ..~....................................................................'..~....................................................................'..l...................................................
// str q12, [x0, #(-16 + 4*(1024/8))] // .................~.....................................................'.................~.....................................................'.................l....................................
// str q13, [x0, #(-16 + 5*(1024/8))] // ................~......................................................'................~......................................................'................l.....................................
// str q14, [x0, #(-16 + 6*(1024/8))] // ......~................................................................'......~................................................................'......l...............................................
// str q15, [x0, #(-16 + 7*(1024/8))] // ...~...................................................................'...~...................................................................'...l..................................................
subs count, count, 1
cbnz count, ntt_layer123_start
// Instructions: 75
// Expected cycles: 62
// Expected IPC: 1.21
// Cycle bound: 62.0
// IPC bound: 1.21
// Wall time: 2.32s
// User time: 2.32s
// --------------------- cycle (expected) ---------------------->
// 0 25 50
// |------------------------|------------------------|-----------
add v13.4S, v10.4S, v26.4S // *.............................................................
mls v18.4S, v5.4S, v7.S[0] // *.............................................................
str q22, [x0, #384] // .*............................................................
add v27.4S, v16.4S, v8.4S // .*............................................................
mul v22.4S, v19.4S, v1.S[2] // ..*...........................................................
add v26.4S, v24.4S, v14.4S // ..*...........................................................
ldr q31, [x0, #272] // ...*..........................................................
sub v14.4S, v15.4S, v23.4S // ...*..........................................................
add v17.4S, v15.4S, v23.4S // ....*.........................................................
mls v22.4S, v12.4S, v7.S[0] // ....*.........................................................
add v28.4S, v13.4S, v18.4S // .....*........................................................
str q14, [x0, #896] // .....*........................................................
sqrdmulh v24.4S, v6.4S, v0.S[1] // ......*.......................................................
add v5.4S, v25.4S, v11.4S // ......*.......................................................
sub v19.4S, v13.4S, v18.4S // .......*......................................................
str q17, [x0, #768] // .......*......................................................
str q5, [x0, #256] // ........*.....................................................
mul v16.4S, v9.4S, v2.S[0] // ........*.....................................................
ldr q18, [x0, #784] // .........*....................................................
str q19, [x0, #640] // .........*....................................................
mls v16.4S, v20.4S, v7.S[0] // ..........*...................................................
str q28, [x0, #512] // ..........*...................................................
add v13.4S, v27.4S, v22.4S // ...........*..................................................
ldr q15, [x0, #16] // ...........*..................................................
sub v10.4S, v27.4S, v22.4S // ............*.................................................
mls v4.4S, v24.4S, v7.S[0] // ............*.................................................
str q13, [x0], #(16) // .............*................................................
str q10, [x0, #112] // ..............*...............................................
sqrdmulh v12.4S, v29.4S, v1.S[1] // ..............*...............................................
mul v23.4S, v29.4S, v1.S[0] // ................*.............................................
mul v8.4S, v26.4S, v1.S[2] // ..................*...........................................
add v20.4S, v15.4S, v4.4S // ...................*..........................................
sub v6.4S, v15.4S, v4.4S // ....................*.........................................
mls v23.4S, v12.4S, v7.S[0] // ....................*.........................................
sqrdmulh v22.4S, v18.4S, v0.S[1] // ......................*.......................................
mul v5.4S, v18.4S, v0.S[0] // ........................*.....................................
sub v28.4S, v21.4S, v23.4S // ..........................*...................................
sqrdmulh v10.4S, v26.4S, v1.S[3] // ..........................*...................................
mls v5.4S, v22.4S, v7.S[0] // ............................*.................................
sqrdmulh v30.4S, v28.4S, v3.S[1] // ..............................*...............................
add v4.4S, v21.4S, v23.4S // ................................*.............................
mls v8.4S, v10.4S, v7.S[0] // ................................*.............................
add v12.4S, v31.4S, v5.4S // .................................*............................
sub v9.4S, v31.4S, v5.4S // ..................................*...........................
sqrdmulh v25.4S, v4.4S, v2.S[3] // ..................................*...........................
sqrdmulh v15.4S, v9.4S, v1.S[1] // ....................................*.........................
sqrdmulh v31.4S, v12.4S, v0.S[3] // ......................................*.......................
mul v18.4S, v12.4S, v0.S[2] // ........................................*.....................
mul v11.4S, v9.4S, v1.S[0] // ..........................................*...................
mls v18.4S, v31.4S, v7.S[0] // ............................................*.................
mul v29.4S, v4.4S, v2.S[2] // ..............................................*...............
mls v29.4S, v25.4S, v7.S[0] // ................................................*.............
add v23.4S, v20.4S, v18.4S // .................................................*............
mls v11.4S, v15.4S, v7.S[0] // ..................................................*...........
sub v31.4S, v20.4S, v18.4S // ..................................................*...........
add v17.4S, v23.4S, v8.4S // ...................................................*..........
add v5.4S, v31.4S, v16.4S // ....................................................*.........
mul v24.4S, v28.4S, v3.S[0] // ....................................................*.........
str q17, [x0], #(16) // .....................................................*........
sub v19.4S, v31.4S, v16.4S // ......................................................*.......
mls v24.4S, v30.4S, v7.S[0] // ......................................................*.......
str q5, [x0, #240] // .......................................................*......
add v31.4S, v6.4S, v11.4S // .......................................................*......
sub v26.4S, v23.4S, v8.4S // ........................................................*.....
str q19, [x0, #368] // ........................................................*.....
add v4.4S, v31.4S, v29.4S // .........................................................*....
sub v13.4S, v6.4S, v11.4S // .........................................................*....
str q26, [x0, #112] // ..........................................................*...
sub v11.4S, v31.4S, v29.4S // ..........................................................*...
sub v22.4S, v13.4S, v24.4S // ...........................................................*..
add v23.4S, v13.4S, v24.4S // ...........................................................*..
str q4, [x0, #496] // ............................................................*.
str q11, [x0, #624] // ............................................................*.
str q23, [x0, #752] // .............................................................*
str q22, [x0, #880] // .............................................................*
// --------------------- cycle (expected) ---------------------->
// 0 25 50
// |------------------------|------------------------|-----------
// add v31.4S, v10.4S, v26.4S // *.............................................................
// mul v17.4S, v19.4S, v1.S[2] // ..*...........................................................
// add v26.4S, v15.4S, v23.4S // ....*.........................................................
// sub v13.4S, v15.4S, v23.4S // ...*..........................................................
// mul v23.4S, v29.4S, v1.S[0] // ................*.............................................
// add v25.4S, v25.4S, v11.4S // ......*.......................................................
// str q22, [x0, #384] // .*............................................................
// mul v11.4S, v9.4S, v2.S[0] // ........*.....................................................
// str q13, [x0, #896] // .....*........................................................
// ldr q28, [x0, #16] // ...........*..................................................
// add v10.4S, v16.4S, v8.4S // .*............................................................
// mls v17.4S, v12.4S, v7.S[0] // ....*.........................................................
// str q26, [x0, #768] // .......*......................................................
// mls v18.4S, v5.4S, v7.S[0] // *.............................................................
// sub v16.4S, v10.4S, v17.4S // ............*.................................................
// add v15.4S, v10.4S, v17.4S // ...........*..................................................
// sqrdmulh v10.4S, v6.4S, v0.S[1] // ......*.......................................................
// str q16, [x0, #128] // ..............*...............................................
// str q15, [x0], #(16) // .............*................................................
// sub v15.4S, v31.4S, v18.4S // .......*......................................................
// add v26.4S, v31.4S, v18.4S // .....*........................................................
// str q15, [x0, #624] // .........*....................................................
// sqrdmulh v13.4S, v29.4S, v1.S[1] // ..............*...............................................
// str q26, [x0, #496] // ..........*...................................................
// mls v11.4S, v20.4S, v7.S[0] // ..........*...................................................
// mls v23.4S, v13.4S, v7.S[0] // ....................*.........................................
// ldr q9, [x0, #768] // .........*....................................................
// add v18.4S, v21.4S, v23.4S // ................................*.............................
// mls v4.4S, v10.4S, v7.S[0] // ............*.................................................
// sub v31.4S, v21.4S, v23.4S // ..........................*...................................
// sqrdmulh v16.4S, v31.4S, v3.S[1] // ..............................*...............................
// add v19.4S, v24.4S, v14.4S // ..*...........................................................
// sub v10.4S, v28.4S, v4.4S // ....................*.........................................
// ldr q13, [x0, #256] // ...*..........................................................
// sqrdmulh v22.4S, v9.4S, v0.S[1] // ......................*.......................................
// mul v8.4S, v9.4S, v0.S[0] // ........................*.....................................
// mul v23.4S, v31.4S, v3.S[0] // ....................................................*.........
// mls v8.4S, v22.4S, v7.S[0] // ............................*.................................
// mls v23.4S, v16.4S, v7.S[0] // ......................................................*.......
// add v16.4S, v28.4S, v4.4S // ...................*..........................................
// add v21.4S, v13.4S, v8.4S // .................................*............................
// sub v27.4S, v13.4S, v8.4S // ..................................*...........................
// sqrdmulh v31.4S, v21.4S, v0.S[3] // ......................................*.......................
// str q25, [x0, #240] // ........*.....................................................
// mul v8.4S, v21.4S, v0.S[2] // ........................................*.....................
// sqrdmulh v5.4S, v18.4S, v2.S[3] // ..................................*...........................
// mls v8.4S, v31.4S, v7.S[0] // ............................................*.................
// sqrdmulh v20.4S, v27.4S, v1.S[1] // ....................................*.........................
// mul v26.4S, v27.4S, v1.S[0] // ..........................................*...................
// sub v25.4S, v16.4S, v8.4S // ..................................................*...........
// mul v18.4S, v18.4S, v2.S[2] // ..............................................*...............
// sub v22.4S, v25.4S, v11.4S // ......................................................*.......
// mls v26.4S, v20.4S, v7.S[0] // ..................................................*...........
// sqrdmulh v12.4S, v19.4S, v1.S[3] // ..........................*...................................
// sub v15.4S, v10.4S, v26.4S // .........................................................*....
// add v31.4S, v10.4S, v26.4S // .......................................................*......
// mul v17.4S, v19.4S, v1.S[2] // ..................*...........................................
// add v26.4S, v15.4S, v23.4S // ...........................................................*..
// sub v13.4S, v15.4S, v23.4S // ...........................................................*..
// add v25.4S, v25.4S, v11.4S // ....................................................*.........
// str q22, [x0, #384] // ........................................................*.....
// str q13, [x0, #896] // .............................................................*
// add v10.4S, v16.4S, v8.4S // .................................................*............
// mls v17.4S, v12.4S, v7.S[0] // ................................*.............................
// str q26, [x0, #768] // .............................................................*
// mls v18.4S, v5.4S, v7.S[0] // ................................................*.............
// sub v16.4S, v10.4S, v17.4S // ........................................................*.....
// add v15.4S, v10.4S, v17.4S // ...................................................*..........
// str q16, [x0, #128] // ..........................................................*...
// str q15, [x0], #(16) // .....................................................*........
// sub v15.4S, v31.4S, v18.4S // ..........................................................*...
// add v26.4S, v31.4S, v18.4S // .........................................................*....
// str q15, [x0, #624] // ............................................................*.
// str q26, [x0, #496] // ............................................................*.
// str q25, [x0, #240] // .......................................................*......
mov in, inp
mov count, #8
.p2align 2
ldr q9, [x0, #64] // *......................................................................................................................................
ldr q23, [x1], #(4*16) // *......................................................................................................................................
ldr q21, [x2, #96] // .*.....................................................................................................................................
ldr q1, [x0, #32] // .*.....................................................................................................................................
ldr q14, [x1, #-48] // ..*....................................................................................................................................
ldr q13, [x0, #0] // ...*...................................................................................................................................
ldr q11, [x2, #80] // ...*...................................................................................................................................
sqrdmulh v16.4S, v9.4S, v23.S[1] // ....*..................................................................................................................................
ldr q17, [x0, #80] // ....*..................................................................................................................................
mul v15.4S, v9.4S, v23.S[0] // ......*................................................................................................................................
ldr q30, [x0, #112] // ......*................................................................................................................................
ldr q27, [x0, #96] // .......*...............................................................................................................................
ldr q8, [x2, #48] // ........*..............................................................................................................................
sqrdmulh v12.4S, v17.4S, v23.S[1] // ........*..............................................................................................................................
ldr q6, [x0, #48] // .........*.............................................................................................................................
mls v15.4S, v16.4S, v7.S[0] // ..........*............................................................................................................................
sqrdmulh v18.4S, v27.4S, v23.S[1] // ............*..........................................................................................................................
sqrdmulh v19.4S, v30.4S, v23.S[1] // ..............*........................................................................................................................
add v5.4S, v13.4S, v15.4S // ...............*.......................................................................................................................
mul v25.4S, v27.4S, v23.S[0] // ................*......................................................................................................................
sub v26.4S, v13.4S, v15.4S // ................*......................................................................................................................
mls v25.4S, v18.4S, v7.S[0] // ..................*....................................................................................................................
mul v10.4S, v17.4S, v23.S[0] // ....................*..................................................................................................................
mls v10.4S, v12.4S, v7.S[0] // ......................*................................................................................................................
mul v4.4S, v30.4S, v23.S[0] // ........................*..............................................................................................................
sub v22.4S, v1.4S, v25.4S // ........................*..............................................................................................................
mls v4.4S, v19.4S, v7.S[0] // ..........................*............................................................................................................
add v28.4S, v1.4S, v25.4S // ..........................*............................................................................................................
sqrdmulh v19.4S, v28.4S, v23.S[3] // ............................*..........................................................................................................
sqrdmulh v9.4S, v22.4S, v14.S[1] // ..............................*........................................................................................................
add v2.4S, v6.4S, v4.4S // ...............................*.......................................................................................................
mul v0.4S, v28.4S, v23.S[2] // ................................*......................................................................................................
sqrdmulh v27.4S, v2.4S, v23.S[3] // ..................................*....................................................................................................
sub v17.4S, v6.4S, v4.4S // ..................................*....................................................................................................
mul v3.4S, v2.4S, v23.S[2] // ....................................*..................................................................................................
sqrdmulh v20.4S, v17.4S, v14.S[1] // ......................................*................................................................................................
ldr q1, [x0, #16] // ......................................*................................................................................................
mls v3.4S, v27.4S, v7.S[0] // ........................................*..............................................................................................
mls v0.4S, v19.4S, v7.S[0] // ..........................................*............................................................................................
ldr q16, [x1, #-32] // ..........................................*............................................................................................
add v31.4S, v1.4S, v10.4S // ...........................................*...........................................................................................
mul v30.4S, v17.4S, v14.S[0] // ............................................*..........................................................................................
mls v30.4S, v20.4S, v7.S[0] // ..............................................*........................................................................................
add v27.4S, v31.4S, v3.4S // ..............................................*........................................................................................
sub v23.4S, v1.4S, v10.4S // ...............................................*.......................................................................................
sub v24.4S, v31.4S, v3.4S // ................................................*......................................................................................
sqrdmulh v4.4S, v27.4S, v14.S[3] // ................................................*......................................................................................
sqrdmulh v10.4S, v24.4S, v16.S[1] // ..................................................*....................................................................................
mul v18.4S, v24.4S, v16.S[0] // ....................................................*..................................................................................
add v15.4S, v23.4S, v30.4S // ....................................................*..................................................................................
sub v23.4S, v23.4S, v30.4S // .....................................................*.................................................................................
mul v29.4S, v27.4S, v14.S[2] // ......................................................*................................................................................
sub v2.4S, v5.4S, v0.4S // ......................................................*................................................................................
add v12.4S, v5.4S, v0.4S // .......................................................*...............................................................................
mls v18.4S, v10.4S, v7.S[0] // ........................................................*..............................................................................
ldr q3, [x1, #-16] // ........................................................*..............................................................................
mls v29.4S, v4.4S, v7.S[0] // ..........................................................*............................................................................
mul v4.4S, v22.4S, v14.S[0] // ............................................................*..........................................................................
add v1.4S, v2.4S, v18.4S // .............................................................*.........................................................................
sub v24.4S, v2.4S, v18.4S // ..............................................................*........................................................................
mls v4.4S, v9.4S, v7.S[0] // ..............................................................*........................................................................
ldr q20, [x2, #16] // ...............................................................*.......................................................................
add v25.4S, v12.4S, v29.4S // ...............................................................*.......................................................................
mul v9.4S, v23.4S, v3.S[0] // ................................................................*......................................................................
sub v5.4S, v12.4S, v29.4S // ................................................................*......................................................................
sqrdmulh v31.4S, v23.4S, v3.S[1] // ..................................................................*....................................................................
trn2 v6.4S, v1.4S, v24.4S // ..................................................................*....................................................................
trn2 v10.4S, v25.4S, v5.4S // ...................................................................*...................................................................
sqrdmulh v13.4S, v15.4S, v16.S[3] // ....................................................................*..................................................................
trn2 v30.2D, v10.2D, v6.2D // .....................................................................*.................................................................
ldr q3, [x2], #(12*16) // .....................................................................*.................................................................
mul v12.4S, v15.4S, v16.S[2] // ......................................................................*................................................................
trn1 v27.2D, v10.2D, v6.2D // ......................................................................*................................................................
mls v9.4S, v31.4S, v7.S[0] // ........................................................................*..............................................................
trn1 v22.4S, v25.4S, v5.4S // ........................................................................*..............................................................
sub v6.4S, v26.4S, v4.4S // .........................................................................*.............................................................
mls v12.4S, v13.4S, v7.S[0] // ..........................................................................*............................................................
trn1 v1.4S, v1.4S, v24.4S // ..........................................................................*............................................................
add v13.4S, v26.4S, v4.4S // ...........................................................................*...........................................................
trn2 v10.2D, v22.2D, v1.2D // ............................................................................*..........................................................
mul v28.4S, v30.4S, v3.4S // ............................................................................*..........................................................
sub v31.4S, v6.4S, v9.4S // .............................................................................*.........................................................
sub count, count, #1
ntt_layer45678_start:
// Instructions: 164
// Expected cycles: 119
// Expected IPC: 1.38
// -------------------------------------------------- cycle (expected) -------------------------------------------------->
// 0 25 50 75 100
// |------------------------|------------------------|------------------------|------------------------|------------------
add v2.4S, v13.4S, v12.4S // *......................................................................................................................
sqrdmulh v5.4S, v30.4S, v20.4S // *......................................................................................................................
sub v25.4S, v13.4S, v12.4S // .*.....................................................................................................................
add v17.4S, v6.4S, v9.4S // ..*....................................................................................................................
mul v19.4S, v10.4S, v3.4S // ..*....................................................................................................................
trn2 v4.4S, v2.4S, v25.4S // ...*...................................................................................................................
ldr q24, [x2, #-80] // ...*...................................................................................................................
trn2 v29.4S, v17.4S, v31.4S // ....*..................................................................................................................
sqrdmulh v15.4S, v10.4S, v20.4S // ....*..................................................................................................................
mls v28.4S, v5.4S, v7.S[0] // ......*................................................................................................................
trn2 v3.2D, v4.2D, v29.2D // ......*................................................................................................................
sqrdmulh v12.4S, v3.4S, v24.4S // ........*..............................................................................................................
mul v16.4S, v3.4S, v21.4S // ..........*............................................................................................................
mls v19.4S, v15.4S, v7.S[0] // ............*..........................................................................................................
ldr q10, [x2, #-160] // ............*..........................................................................................................
add v13.4S, v27.4S, v28.4S // .............*.........................................................................................................
mls v16.4S, v12.4S, v7.S[0] // ..............*........................................................................................................
sqrdmulh v9.4S, v13.4S, v8.4S // ................*......................................................................................................
sub v30.4S, v27.4S, v28.4S // ................*......................................................................................................
ldr q18, [x1], #(4*16) // .................*.....................................................................................................
mul v8.4S, v13.4S, v10.4S // ..................*....................................................................................................
ldr q10, [x0, #208] // ..................*....................................................................................................
sqrdmulh v14.4S, v30.4S, v11.4S // ....................*..................................................................................................
ldr q23, [x0, #224] // ....................*..................................................................................................
sqrdmulh v13.4S, v10.4S, v18.S[1] // ......................*................................................................................................
sqrdmulh v12.4S, v23.4S, v18.S[1] // ........................*..............................................................................................
ldr q6, [x2, #-128] // ........................*..............................................................................................
mul v3.4S, v10.4S, v18.S[0] // ..........................*............................................................................................
mls v3.4S, v13.4S, v7.S[0] // ............................*..........................................................................................
ldr q13, [x0, #240] // ............................*..........................................................................................
trn1 v27.4S, v2.4S, v25.4S // .............................*.........................................................................................
mul v2.4S, v30.4S, v6.4S // ..............................*........................................................................................
trn1 v20.4S, v17.4S, v31.4S // ..............................*........................................................................................
trn1 v25.2D, v4.2D, v29.2D // ...............................*.......................................................................................
sqrdmulh v10.4S, v13.4S, v18.S[1] // ................................*......................................................................................
trn2 v5.2D, v27.2D, v20.2D // ................................*......................................................................................
ldr q6, [x2, #-16] // .................................*.....................................................................................
mls v8.4S, v9.4S, v7.S[0] // ..................................*....................................................................................
sub v15.4S, v25.4S, v16.4S // ..................................*....................................................................................
sqrdmulh v31.4S, v5.4S, v24.4S // ....................................*..................................................................................
sqrdmulh v30.4S, v15.4S, v6.4S // ......................................*................................................................................
ldr q9, [x2, #-48] // ......................................*................................................................................
mul v4.4S, v5.4S, v21.4S // ........................................*..............................................................................
ldr q21, [x2, #-64] // ........................................*..............................................................................
ldr q6, [x2, #-32] // .........................................*.............................................................................
add v5.4S, v25.4S, v16.4S // .........................................*.............................................................................
mls v4.4S, v31.4S, v7.S[0] // ..........................................*............................................................................
mul v0.4S, v5.4S, v21.4S // ............................................*..........................................................................
mul v17.4S, v13.4S, v18.S[0] // ..............................................*........................................................................
mls v17.4S, v10.4S, v7.S[0] // ................................................*......................................................................
ldr q28, [x0, #176] // ................................................*......................................................................
sqrdmulh v26.4S, v5.4S, v9.4S // ..................................................*....................................................................
mul v9.4S, v15.4S, v6.4S // ....................................................*..................................................................
trn1 v6.2D, v22.2D, v1.2D // ....................................................*..................................................................
mls v9.4S, v30.4S, v7.S[0] // ......................................................*................................................................
add v25.4S, v28.4S, v17.4S // ......................................................*................................................................
mls v2.4S, v14.4S, v7.S[0] // ........................................................*..............................................................
trn1 v5.2D, v27.2D, v20.2D // ........................................................*..............................................................
ldr q20, [x2, #16] // .........................................................*.............................................................
mul v29.4S, v25.4S, v18.S[2] // ..........................................................*............................................................
add v15.4S, v6.4S, v19.4S // ..........................................................*............................................................
ldr q30, [x0, #192] // ...........................................................*...........................................................
sub v19.4S, v6.4S, v19.4S // ...........................................................*...........................................................
add v31.4S, v15.4S, v8.4S // ............................................................*..........................................................
mls v0.4S, v26.4S, v7.S[0] // ............................................................*..........................................................
ldr q14, [x1, #-48] // .............................................................*.........................................................
add v21.4S, v19.4S, v2.4S // .............................................................*.........................................................
sub v24.4S, v19.4S, v2.4S // ..............................................................*........................................................
sqrdmulh v27.4S, v25.4S, v18.S[3] // ..............................................................*........................................................
sub v26.4S, v15.4S, v8.4S // ...............................................................*.......................................................
ldr q2, [x0, #144] // ...............................................................*.......................................................
mul v16.4S, v30.4S, v18.S[0] // ................................................................*......................................................
sub v25.4S, v28.4S, v17.4S // ................................................................*......................................................
trn1 v11.4S, v31.4S, v26.4S // .................................................................*.....................................................
ldr q1, [x0, #160] // .................................................................*.....................................................
trn1 v6.4S, v21.4S, v24.4S // ..................................................................*....................................................
sqrdmulh v13.4S, v25.4S, v14.S[1] // ..................................................................*....................................................
add v8.4S, v2.4S, v3.4S // ...................................................................*...................................................
trn2 v28.2D, v11.2D, v6.2D // ....................................................................*..................................................
sqrdmulh v19.4S, v30.4S, v18.S[1] // ....................................................................*..................................................
sub v10.4S, v5.4S, v4.4S // .....................................................................*.................................................
ldr q22, [x1, #-32] // .....................................................................*.................................................
str q28, [x0, #32] // ......................................................................*................................................
mls v29.4S, v27.4S, v7.S[0] // ......................................................................*................................................
add v15.4S, v10.4S, v9.4S // .......................................................................*...............................................
mul v25.4S, v25.4S, v14.S[0] // ........................................................................*..............................................
ldr q27, [x1, #-16] // ........................................................................*..............................................
trn2 v17.4S, v31.4S, v26.4S // .........................................................................*.............................................
trn2 v21.4S, v21.4S, v24.4S // ..........................................................................*............................................
mls v16.4S, v19.4S, v7.S[0] // ..........................................................................*............................................
sub v24.4S, v8.4S, v29.4S // ...........................................................................*...........................................
sub v10.4S, v10.4S, v9.4S // ............................................................................*..........................................
mls v25.4S, v13.4S, v7.S[0] // ............................................................................*..........................................
trn1 v13.2D, v11.2D, v6.2D // .............................................................................*.........................................
ldr q28, [x0, #128] // .............................................................................*.........................................
sqrdmulh v30.4S, v24.4S, v22.S[1] // ..............................................................................*........................................
trn2 v19.2D, v17.2D, v21.2D // ..............................................................................*........................................
trn1 v6.2D, v17.2D, v21.2D // ...............................................................................*.......................................
mul v31.4S, v23.4S, v18.S[0] // ................................................................................*......................................
str q13, [x0], #(16*8) // ................................................................................*......................................
str q6, [x0, #-112] // .................................................................................*.....................................
str q19, [x0, #-80] // .................................................................................*.....................................
ldr q11, [x2, #80] // ..................................................................................*....................................
mls v31.4S, v12.4S, v7.S[0] // ..................................................................................*....................................
ldr q21, [x2, #96] // ...................................................................................*...................................
trn1 v9.4S, v15.4S, v10.4S // ...................................................................................*...................................
trn2 v6.4S, v15.4S, v10.4S // ....................................................................................*..................................
mul v24.4S, v24.4S, v22.S[0] // ....................................................................................*..................................
sub v10.4S, v2.4S, v3.4S // .....................................................................................*.................................
ldr q3, [x2], #(12*16) // .....................................................................................*.................................
mls v24.4S, v30.4S, v7.S[0] // ......................................................................................*................................
add v26.4S, v8.4S, v29.4S // ......................................................................................*................................
ldr q8, [x2, #-144] // .......................................................................................*...............................
add v17.4S, v5.4S, v4.4S // .......................................................................................*...............................
sqrdmulh v2.4S, v26.4S, v14.S[3] // ........................................................................................*..............................
sub v13.4S, v1.4S, v31.4S // ........................................................................................*..............................
add v30.4S, v1.4S, v31.4S // .........................................................................................*.............................
add v15.4S, v10.4S, v25.4S // ..........................................................................................*............................
sqrdmulh v19.4S, v13.4S, v14.S[1] // ..........................................................................................*............................
sub v25.4S, v10.4S, v25.4S // ...........................................................................................*...........................
mul v29.4S, v13.4S, v14.S[0] // ............................................................................................*..........................
sub v5.4S, v28.4S, v16.4S // ............................................................................................*..........................
sqrdmulh v4.4S, v30.4S, v18.S[3] // ..............................................................................................*........................
sub v23.4S, v17.4S, v0.4S // ..............................................................................................*........................
add v31.4S, v17.4S, v0.4S // ...............................................................................................*.......................
mul v18.4S, v30.4S, v18.S[2] // ................................................................................................*......................
add v1.4S, v28.4S, v16.4S // ................................................................................................*......................
trn2 v12.4S, v31.4S, v23.4S // .................................................................................................*.....................
mls v29.4S, v19.4S, v7.S[0] // ..................................................................................................*....................
trn1 v13.4S, v31.4S, v23.4S // ..................................................................................................*....................
trn2 v30.2D, v12.2D, v6.2D // ...................................................................................................*...................
mls v18.4S, v4.4S, v7.S[0] // ....................................................................................................*..................
trn2 v10.2D, v13.2D, v9.2D // ....................................................................................................*..................
trn1 v31.2D, v13.2D, v9.2D // .....................................................................................................*.................
mul v19.4S, v26.4S, v14.S[2] // ......................................................................................................*................
trn1 v12.2D, v12.2D, v6.2D // ......................................................................................................*................
sub v6.4S, v5.4S, v29.4S // .......................................................................................................*...............
mls v19.4S, v2.4S, v7.S[0] // ........................................................................................................*..............
add v13.4S, v5.4S, v29.4S // ........................................................................................................*..............
str q10, [x0, #-32] // .........................................................................................................*.............
sub v10.4S, v1.4S, v18.4S // .........................................................................................................*.............
add v28.4S, v1.4S, v18.4S // ..........................................................................................................*............
sqrdmulh v5.4S, v25.4S, v27.S[1] // ..........................................................................................................*............
str q31, [x0, #-64] // ...........................................................................................................*...........
add v26.4S, v10.4S, v24.4S // ...........................................................................................................*...........
sub v31.4S, v10.4S, v24.4S // ............................................................................................................*..........
mul v9.4S, v25.4S, v27.S[0] // ............................................................................................................*..........
str q12, [x0, #-48] // .............................................................................................................*.........
sub v24.4S, v28.4S, v19.4S // .............................................................................................................*.........
sqrdmulh v10.4S, v15.4S, v22.S[3] // ..............................................................................................................*........
trn1 v1.4S, v26.4S, v31.4S // ..............................................................................................................*........
str q30, [x0, #-16] // ...............................................................................................................*.......
add v30.4S, v28.4S, v19.4S // ...............................................................................................................*.......
mls v9.4S, v5.4S, v7.S[0] // ................................................................................................................*......
trn2 v25.4S, v26.4S, v31.4S // ................................................................................................................*......
trn2 v14.4S, v30.4S, v24.4S // .................................................................................................................*.....
mul v12.4S, v15.4S, v22.S[2] // ..................................................................................................................*....
trn1 v22.4S, v30.4S, v24.4S // ..................................................................................................................*....
trn1 v27.2D, v14.2D, v25.2D // ...................................................................................................................*...
mls v12.4S, v10.4S, v7.S[0] // ....................................................................................................................*..
trn2 v30.2D, v14.2D, v25.2D // ....................................................................................................................*..
sub v31.4S, v6.4S, v9.4S // .....................................................................................................................*.
trn2 v10.2D, v22.2D, v1.2D // ......................................................................................................................*
mul v28.4S, v30.4S, v3.4S // ......................................................................................................................*
// -------------------------------------------------- cycle (expected) -------------------------------------------------->
// 0 25 50 75 100
// |------------------------|------------------------|------------------------|------------------------|------------------
// add v9.4S, v6.4S, v9.4S // ..*....................................................................................................................
// sqrdmulh v6.4S, v30.4S, v20.4S // *......................................................................................................................
// ldr q24, [x2, #-160] // ............*..........................................................................................................
// add v25.4S, v13.4S, v12.4S // *......................................................................................................................
// sub v15.4S, v13.4S, v12.4S // .*.....................................................................................................................
// mul v19.4S, v10.4S, v3.4S // ..*....................................................................................................................
// trn2 v5.4S, v9.4S, v31.4S // ....*..................................................................................................................
// sqrdmulh v3.4S, v10.4S, v20.4S // ....*..................................................................................................................
// trn2 v10.4S, v25.4S, v15.4S // ...*...................................................................................................................
// mls v28.4S, v6.4S, v7.S[0] // ......*................................................................................................................
// trn2 v13.2D, v10.2D, v5.2D // ......*................................................................................................................
// ldr q30, [x2, #-80] // ...*...................................................................................................................
// mul v12.4S, v13.4S, v21.4S // ..........*............................................................................................................
// mls v19.4S, v3.4S, v7.S[0] // ............*..........................................................................................................
// add v20.4S, v27.4S, v28.4S // .............*.........................................................................................................