OpenBLAS/kernel/arm64/zgemv_n.S

527 lines
14 KiB
ArmAsm

/*******************************************************************************
Copyright (c) 2015, The OpenBLAS Project
All rights reserved.
Redistribution and use in source and binary forms, with or without
modification, are permitted provided that the following conditions are
met:
1. Redistributions of source code must retain the above copyright
notice, this list of conditions and the following disclaimer.
2. Redistributions in binary form must reproduce the above copyright
notice, this list of conditions and the following disclaimer in
the documentation and/or other materials provided with the
distribution.
3. Neither the name of the OpenBLAS project nor the names of
its contributors may be used to endorse or promote products
derived from this software without specific prior written permission.
THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
ARE DISCLAIMED. IN NO EVENT SHALL THE OPENBLAS PROJECT OR CONTRIBUTORS BE
LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE
USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
*******************************************************************************/
#define ASSEMBLER
#include "common.h"
#define M x0 /* Y vector length */
#define N x1 /* X vector length */
#define A x3 /* A vector address */
#define LDA x4 /* A stride */
#define X x5 /* X vector address */
#define INC_X x6 /* X stride */
#define Y x7 /* Y vector address */
#define INC_Y x2 /* Y stride */
#define A_PTR x9 /* loop A vector address */
#define Y_IPTR x10 /* loop Y vector address */
#define J x11 /* loop variable */
#define I x12 /* loop variable */
#define Y_OPTR x13 /* loop Y vector address */
#define X_PTR x14 /* loop X vector address */
/*******************************************************************************
* Macro definitions
*******************************************************************************/
#if !defined(DOUBLE)
#define ALPHA_R s0
#define ALPHA_I s1
#define ALPHA_R_COPY s7
#define ALPHA_I_COPY s8
#define SHZ 3
#else
#define ALPHA_R d0
#define ALPHA_I d1
#define ALPHA_R_COPY d7
#define ALPHA_I_COPY d8
#define SHZ 4
#endif
/******************************************************************************/
.macro SAVE_REGS
add sp, sp, #-(11 * 16)
stp d8, d9, [sp, #(0 * 16)]
stp d10, d11, [sp, #(1 * 16)]
stp d12, d13, [sp, #(2 * 16)]
stp d14, d15, [sp, #(3 * 16)]
stp d16, d17, [sp, #(4 * 16)]
stp x18, x19, [sp, #(5 * 16)]
stp x20, x21, [sp, #(6 * 16)]
stp x22, x23, [sp, #(7 * 16)]
stp x24, x25, [sp, #(8 * 16)]
stp x26, x27, [sp, #(9 * 16)]
str x28, [sp, #(10 * 16)]
.endm
.macro RESTORE_REGS
ldp d8, d9, [sp, #(0 * 16)]
ldp d10, d11, [sp, #(1 * 16)]
ldp d12, d13, [sp, #(2 * 16)]
ldp d14, d15, [sp, #(3 * 16)]
ldp d16, d17, [sp, #(4 * 16)]
ldp x18, x19, [sp, #(5 * 16)]
ldp x20, x21, [sp, #(6 * 16)]
ldp x22, x23, [sp, #(7 * 16)]
ldp x24, x25, [sp, #(8 * 16)]
ldp x26, x27, [sp, #(9 * 16)]
ldr x28, [sp, #(10 * 16)]
add sp, sp, #(11*16)
.endm
.macro INIT
/********** INIT FOR F4 LOOP **********/
fmov ALPHA_R_COPY, ALPHA_R
fmov ALPHA_I_COPY, ALPHA_I
#if !defined(DOUBLE)
ins v7.s[1], v7.s[0] // R(ALPHA), R(ALPHA)
ins v8.s[1], v8.s[0] // I(ALPHA), I(ALPHA)
ins v7.d[1], v7.d[0]
ins v8.d[1], v8.d[0]
#else
ins v7.d[1], v7.d[0] // R(ALPHA), R(ALPHA)
ins v8.d[1], v8.d[0] // I(ALPHA), I(ALPHA)
#endif
/******* INIT FOR F1 AND S1 LOOP ******/
#if !defined(DOUBLE)
ins v0.s[1], v0.s[0] // R(ALPHA), R(ALPHA)
eor v2.16b, v2.16b, v2.16b
fsub s2, s2, ALPHA_I
ins v1.s[1], v2.s[0] // -I(ALPHA), I(ALPHA)
#if !defined(XCONJ)
ext v1.8b, v1.8b, v1.8b, #4 // I(ALPHA), -I(ALPHA)
#endif
#else
ins v0.d[1], v0.d[0] // R(ALPHA), R(ALPHA)
eor v2.16b, v2.16b, v2.16b
fsub d2, d2, ALPHA_I
ins v1.d[1], v2.d[0] // -I(ALPHA), I(ALPHA)
#if !defined(XCONJ)
ext v1.16b, v1.16b, v1.16b, #8 // I(ALPHA), -I(ALPHA)
#endif
#endif
.endm
.macro INIT_LOOP
/********** INIT_LOOP FOR F4 LOOP **********/
#if !defined(DOUBLE)
ld1 {v9.2s}, [X_PTR] // [I(X), R(X)]
ins v10.s[0], v9.s[1]
ins v9.s[1], v9.s[0] // [R(X), R(X)]
ins v10.s[1], v10.s[0] // [I(X), I(X)]
ins v9.d[1], v9.d[0]
ins v10.d[1], v10.d[0]
#if !defined(CONJ)
#if !defined(XCONJ)
fmul v11.4s, v9.4s, v7.4s // [+ R(X) * R(ALPHA)]
fmls v11.4s, v10.4s, v8.4s // [- I(X) * I(ALPHA)]
fmul v12.4s, v9.4s, v8.4s // [+ R(X) * I(ALPHA)]
fmla v12.4s, v10.4s, v7.4s // [+ I(X) * R(ALPHA)]
#else
fmul v11.4s, v9.4s, v7.4s // [+ R(X) * R(ALPHA)]
fmla v11.4s, v10.4s, v8.4s // [+ I(X) * I(ALPHA)]
fmul v12.4s, v9.4s, v8.4s // [+ R(X) * I(ALPHA)]
fmls v12.4s, v10.4s, v7.4s // [- I(X) * R(ALPHA)]
#endif
#else // CONJ
#if !defined(XCONJ)
fmul v11.4s, v9.4s, v7.4s // [+ R(X) * R(ALPHA)]
fmls v11.4s, v10.4s, v8.4s // [+ I(X) * I(ALPHA)]
fmul v12.4s, v10.4s, v7.4s // [+ I(X) * R(ALPHA)]
fmls v12.4s, v9.4s, v8.4s // [- R(X) * I(ALPHA)]
#else
fmul v11.4s, v9.4s, v7.4s // [+ R(X) * R(ALPHA)]
fmls v11.4s, v10.4s, v8.4s // [- I(X) * I(ALPHA)]
eor v12.16b, v12.16b, v12.16b
fmls v12.4s, v9.4s, v8.4s // [- R(X) * I(ALPHA)]
fmla v12.4s, v10.4s, v7.4s // [- I(X) * R(ALPHA)]
#endif
#endif // CONJ
/****** INIT_LOOP FOR F1 AND S1 LOOP ******/
ld1 {v2.2s}, [X_PTR] // [I(X), R(X)]
ext v3.8b, v2.8b, v2.8b, #4 // [R(X), I(X)]
fmul v2.2s, v0.2s, v2.2s
fmla v2.2s, v1.2s, v3.2s // [I(TEMP), R(TEMP)]
ins v3.s[0], v2.s[1]
#if !defined(CONJ)
#if !defined(XCONJ)
eor v4.16b, v4.16b, v4.16b
fsub s4, s4, s3
ins v3.s[1], v4.s[0]
ext v3.8b, v3.8b, v3.8b, #4 // [I(TEMP), -I(TEMP)]
ins v2.s[1], v2.s[0] // [R(TEMP), R(TEMP)]
#else
eor v4.16b, v4.16b, v4.16b
fsub s4, s4, s3
ins v3.s[1], v4.s[0] // [-I(TEMP), I(TEMP)]
ins v2.s[1], v2.s[0] // [R(TEMP), R(TEMP)]
#endif
#else // CONJ
#if !defined(XCONJ)
ins v3.s[1], v3.s[0] // [I(TEMP), I(TEMP)]
eor v4.16b, v4.16b, v4.16b
fsub s4, s4, s2
ins v2.s[1], v4.s[0] // [-R(TEMP), R(TEMP)]
#else
eor v4.16b, v4.16b, v4.16b
fsub s3, s4, s3
ins v3.s[1], v3.s[0] // [-I(TEMP), -I(TEMP)]
eor v4.16b, v4.16b, v4.16b
fsub s4, s4, s2
ins v2.s[1], v4.s[0] // [-R(TEMP), R(TEMP)]
#endif
#endif // CONJ
#else // DOUBLE
/********** INIT_LOOP FOR F4 LOOP **********/
ld1 {v9.2d}, [X_PTR] // [I(X), R(X)]
ins v10.d[0], v9.d[1]
ins v9.d[1], v9.d[0] // [R(X), R(X)]
ins v10.d[1], v10.d[0] // [I(X), I(X)]
#if !defined(CONJ)
#if !defined(XCONJ)
fmul v11.2d, v9.2d, v7.2d // [+ R(X) * R(ALPHA)]
fmls v11.2d, v10.2d, v8.2d // [- I(X) * I(ALPHA)]
fmul v12.2d, v9.2d, v8.2d // [+ R(X) * I(ALPHA)]
fmla v12.2d, v10.2d, v7.2d // [+ I(X) * R(ALPHA)]
#else
fmul v11.2d, v9.2d, v7.2d // [+ R(X) * R(ALPHA)]
fmla v11.2d, v10.2d, v8.2d // [+ I(X) * I(ALPHA)]
fmul v12.2d, v9.2d, v8.2d // [+ R(X) * I(ALPHA)]
fmls v12.2d, v10.2d, v7.2d // [- I(X) * R(ALPHA)]
#endif
#else // CONJ
#if !defined(XCONJ)
fmul v11.2d, v9.2d, v7.2d // [+ R(X) * R(ALPHA)]
fmls v11.2d, v10.2d, v8.2d // [+ I(X) * I(ALPHA)]
fmul v12.2d, v10.2d, v7.2d // [+ I(X) * R(ALPHA)]
fmls v12.2d, v9.2d, v8.2d // [- R(X) * I(ALPHA)]
#else
fmul v11.2d, v9.2d, v7.2d // [+ R(X) * R(ALPHA)]
fmls v11.2d, v10.2d, v8.2d // [- I(X) * I(ALPHA)]
eor v12.16b, v12.16b, v12.16b
fmls v12.2d, v9.2d, v8.2d // [- R(X) * I(ALPHA)]
fmla v12.2d, v10.2d, v7.2d // [- I(X) * R(ALPHA)]
#endif
#endif // CONJ
/****** INIT_LOOP FOR F1 AND S1 LOOP ******/
ld1 {v2.2d}, [X_PTR] // [I(X), R(X)]
ext v3.16b, v2.16b, v2.16b, #8 // [R(X), I(X)]
fmul v2.2d, v0.2d, v2.2d
fmla v2.2d, v1.2d, v3.2d // [I(TEMP), R(TEMP)]
ins v3.d[0], v2.d[1] // I(TEMP)
#if !defined(CONJ)
#if !defined(XCONJ)
eor v4.16b, v4.16b, v4.16b
fsub d4, d4, d3
ins v3.d[1], v4.d[0]
ext v3.16b, v3.16b, v3.16b, #8 // [I(TEMP), -I(TEMP)]
ins v2.d[1], v2.d[0] // [R(TEMP), R(TEMP)]
#else
eor v4.16b, v4.16b, v4.16b
fsub d4, d4, d3
ins v3.d[1], v4.d[0] // [-I(TEMP), I(TEMP)]
ins v2.d[1], v2.d[0] // [R(TEMP), R(TEMP)]
#endif
#else // CONJ
#if !defined(XCONJ)
ins v3.d[1], v3.d[0] // [I(TEMP), I(TEMP)]
eor v4.16b, v4.16b, v4.16b
fsub d4, d4, d2
ins v2.d[1], v4.d[0] // [-R(TEMP), R(TEMP)]
#else
eor v4.16b, v4.16b, v4.16b
fsub d3, d4, d3
ins v3.d[1], v3.d[0] // [-I(TEMP), -I(TEMP)]
eor v4.16b, v4.16b, v4.16b
fsub d4, d4, d2
ins v2.d[1], v4.d[0] // [-R(TEMP), R(TEMP)]
#endif
#endif // CONJ
#endif // DOUBLE
.endm
.macro KERNEL_F4
#if !defined(DOUBLE)
ld2 {v13.4s, v14.4s}, [A_PTR], #32
ld2 {v15.4s, v16.4s}, [Y_IPTR], #32
#if !defined(CONJ)
#if !defined(XCONJ)
fmla v15.4s, v11.4s, v13.4s // [+ R(ALPHA * X) * A_R]
fmls v15.4s, v12.4s, v14.4s // [- I(ALPHA * X) * A_I]
fmla v16.4s, v11.4s, v14.4s // [+ R(ALPHA * X) * A_I]
fmla v16.4s, v12.4s, v13.4s // [+ I(ALPHA * X) * A_R]
#else
fmla v15.4s, v11.4s, v13.4s // [+ R(ALPHA * X) * A_R]
fmla v15.4s, v12.4s, v14.4s // [+ I(ALPHA * X) * A_I]
fmla v16.4s, v11.4s, v14.4s // [+ R(ALPHA * X) * A_I]
fmls v16.4s, v12.4s, v13.4s // [- I(ALPHA * X) * A_R]
#endif
#else // CONJ
#if !defined(XCONJ)
fmla v15.4s, v11.4s, v13.4s // [+ R(ALPHA * X) * A_R]
fmla v15.4s, v12.4s, v14.4s // [+ I(ALPHA * X) * A_I]
fmls v16.4s, v11.4s, v14.4s // [- R(ALPHA * X) * A_I]
fmla v16.4s, v12.4s, v13.4s // [+ I(ALPHA * X) * A_R]
#else
fmla v15.4s, v11.4s, v13.4s // [+ R(ALPHA * X) * A_R]
fmls v15.4s, v12.4s, v14.4s // [- I(ALPHA * X) * A_I]
fmls v16.4s, v11.4s, v14.4s // [- R(ALPHA * X) * A_I]
fmls v16.4s, v12.4s, v13.4s // [- I(ALPHA * X) * A_R]
#endif
#endif // CONJ
st2 {v15.4s, v16.4s}, [Y_OPTR], #32
#else // DOUBLE
ld2 {v13.2d, v14.2d}, [A_PTR], #32
ld2 {v15.2d, v16.2d}, [Y_IPTR], #32
#if !defined(CONJ)
#if !defined(XCONJ)
fmla v15.2d, v11.2d, v13.2d // [+ R(ALPHA * X) * A_R]
fmls v15.2d, v12.2d, v14.2d // [- I(ALPHA * X) * A_I]
fmla v16.2d, v11.2d, v14.2d // [+ R(ALPHA * X) * A_I]
fmla v16.2d, v12.2d, v13.2d // [+ I(ALPHA * X) * A_R]
#else
fmla v15.2d, v11.2d, v13.2d // [+ R(ALPHA * X) * A_R]
fmla v15.2d, v12.2d, v14.2d // [+ I(ALPHA * X) * A_I]
fmla v16.2d, v11.2d, v14.2d // [+ R(ALPHA * X) * A_I]
fmls v16.2d, v12.2d, v13.2d // [- I(ALPHA * X) * A_R]
#endif
#else // CONJ
#if !defined(XCONJ)
fmla v15.2d, v11.2d, v13.2d // [+ R(ALPHA * X) * A_R]
fmla v15.2d, v12.2d, v14.2d // [+ I(ALPHA * X) * A_I]
fmls v16.2d, v11.2d, v14.2d // [- R(ALPHA * X) * A_I]
fmla v16.2d, v12.2d, v13.2d // [+ I(ALPHA * X) * A_R]
#else
fmla v15.2d, v11.2d, v13.2d // [+ R(ALPHA * X) * A_R]
fmls v15.2d, v12.2d, v14.2d // [- I(ALPHA * X) * A_I]
fmls v16.2d, v11.2d, v14.2d // [- R(ALPHA * X) * A_I]
fmls v16.2d, v12.2d, v13.2d // [- I(ALPHA * X) * A_R]
#endif
#endif // CONJ
st2 {v15.2d, v16.2d}, [Y_OPTR], #32
ld2 {v17.2d, v18.2d}, [A_PTR], #32
ld2 {v19.2d, v20.2d}, [Y_IPTR], #32
#if !defined(CONJ)
#if !defined(XCONJ)
fmla v19.2d, v11.2d, v17.2d // [+ R(ALPHA * X) * A_R]
fmls v19.2d, v12.2d, v18.2d // [- I(ALPHA * X) * A_I]
fmla v20.2d, v11.2d, v18.2d // [+ R(ALPHA * X) * A_I]
fmla v20.2d, v12.2d, v17.2d // [+ I(ALPHA * X) * A_R]
#else
fmla v19.2d, v11.2d, v17.2d // [+ R(ALPHA * X) * A_R]
fmla v19.2d, v12.2d, v18.2d // [- I(ALPHA * X) * A_I]
fmla v20.2d, v11.2d, v18.2d // [+ R(ALPHA * X) * A_I]
fmls v20.2d, v12.2d, v17.2d // [+ I(ALPHA * X) * A_R]
#endif
#else // CONJ
#if !defined(XCONJ)
fmla v19.2d, v11.2d, v17.2d // [+ R(ALPHA * X) * A_R]
fmla v19.2d, v12.2d, v18.2d // [- I(ALPHA * X) * A_I]
fmls v20.2d, v11.2d, v18.2d // [+ R(ALPHA * X) * A_I]
fmla v20.2d, v12.2d, v17.2d // [+ I(ALPHA * X) * A_R]
#else
fmla v19.2d, v11.2d, v17.2d // [+ R(ALPHA * X) * A_R]
fmls v19.2d, v12.2d, v18.2d // [- I(ALPHA * X) * A_I]
fmls v20.2d, v11.2d, v18.2d // [+ R(ALPHA * X) * A_I]
fmls v20.2d, v12.2d, v17.2d // [+ I(ALPHA * X) * A_R]
#endif
#endif // CONJ
st2 {v19.2d, v20.2d}, [Y_OPTR], #32
#endif
.endm
.macro KERNEL_F1
#if !defined(DOUBLE)
ld1 {v4.2s}, [A_PTR], #8
ld1 {v5.2s}, [Y_IPTR], #8
ext v6.8b, v4.8b, v4.8b, #4
fmla v5.2s, v2.2s, v4.2s
fmla v5.2s, v3.2s, v6.2s
st1 {v5.2s}, [Y_OPTR], #8
#else // DOUBLE
ld1 {v4.2d}, [A_PTR], #16
ld1 {v5.2d}, [Y_IPTR], #16
ext v6.16b, v4.16b, v4.16b, #8
fmla v5.2d, v2.2d, v4.2d
fmla v5.2d, v3.2d, v6.2d
st1 {v5.2d}, [Y_OPTR], #16
#endif
.endm
.macro INIT_S
lsl INC_Y, INC_Y, #SHZ
.endm
.macro KERNEL_S1
#if !defined(DOUBLE)
ld1 {v4.2s}, [A_PTR], #8
ld1 {v5.2s}, [Y_IPTR], INC_Y
ext v6.8b, v4.8b, v4.8b, #4
fmla v5.2s, v2.2s, v4.2s
fmla v5.2s, v3.2s, v6.2s
st1 {v5.2s}, [Y_OPTR], INC_Y
#else // DOUBLE
ld1 {v4.2d}, [A_PTR], #16
ld1 {v5.2d}, [Y_IPTR], INC_Y
ext v6.16b, v4.16b, v4.16b, #8
fmla v5.2d, v2.2d, v4.2d
fmla v5.2d, v3.2d, v6.2d
st1 {v5.2d}, [Y_OPTR], INC_Y
#endif
.endm
/*******************************************************************************
* End of macro definitions
*******************************************************************************/
PROLOGUE
ldr INC_Y, [sp]
SAVE_REGS
cmp N, xzr
ble zgemv_n_kernel_L999
cmp M, xzr
ble zgemv_n_kernel_L999
lsl LDA, LDA, #SHZ
lsl INC_X, INC_X, #SHZ
mov J, N
INIT
cmp INC_Y, #1
bne zgemv_n_kernel_S_BEGIN
zgemv_n_kernel_F_LOOP:
mov A_PTR, A
mov Y_IPTR, Y
mov Y_OPTR, Y
mov X_PTR, X
add X, X, INC_X
INIT_LOOP
asr I, M, #2
cmp I, xzr
beq zgemv_n_kernel_F1
zgemv_n_kernel_F4:
KERNEL_F1
KERNEL_F1
KERNEL_F1
KERNEL_F1
subs I, I, #1
bne zgemv_n_kernel_F4
zgemv_n_kernel_F1:
ands I, M, #3
ble zgemv_n_kernel_F_END
zgemv_n_kernel_F10:
KERNEL_F1
subs I, I, #1
bne zgemv_n_kernel_F10
zgemv_n_kernel_F_END:
add A, A, LDA
subs J, J, #1
bne zgemv_n_kernel_F_LOOP
b zgemv_n_kernel_L999
zgemv_n_kernel_S_BEGIN:
INIT_S
zgemv_n_kernel_S_LOOP:
mov A_PTR, A
mov Y_IPTR, Y
mov Y_OPTR, Y
mov X_PTR, X
add X, X, INC_X
INIT_LOOP
asr I, M, #2
cmp I, xzr
ble zgemv_n_kernel_S1
zgemv_n_kernel_S4:
KERNEL_S1
KERNEL_S1
KERNEL_S1
KERNEL_S1
subs I, I, #1
bne zgemv_n_kernel_S4
zgemv_n_kernel_S1:
ands I, M, #3
ble zgemv_n_kernel_S_END
zgemv_n_kernel_S10:
KERNEL_S1
subs I, I, #1
bne zgemv_n_kernel_S10
zgemv_n_kernel_S_END:
add A, A, LDA
subs J, J, #1
bne zgemv_n_kernel_S_LOOP
zgemv_n_kernel_L999:
RESTORE_REGS
mov w0, wzr
ret
EPILOGUE