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// Copyright ©2017 The Gonum Authors. All rights reserved.
// Use of this source code is governed by a BSD-style
// license that can be found in the LICENSE file.
// +build !noasm,!gccgo,!safe
#include "textflag.h"
#define SRC SI
#define DST SI
#define LEN CX
#define IDX AX
#define TAIL BX
#define ALPHA X0
#define ALPHA_C X1
#define ALPHA2 X10
#define ALPHA_C2 X11
#define MOVDDUP_X2_X3 LONG $0xDA120FF2 // MOVDDUP X2, X3
#define MOVDDUP_X4_X5 LONG $0xEC120FF2 // MOVDDUP X4, X5
#define MOVDDUP_X6_X7 LONG $0xFE120FF2 // MOVDDUP X6, X7
#define MOVDDUP_X8_X9 LONG $0x120F45F2; BYTE $0xC8 // MOVDDUP X8, X9
#define ADDSUBPD_X2_X3 LONG $0xDAD00F66 // ADDSUBPD X2, X3
#define ADDSUBPD_X4_X5 LONG $0xECD00F66 // ADDSUBPD X4, X5
#define ADDSUBPD_X6_X7 LONG $0xFED00F66 // ADDSUBPD X6, X7
#define ADDSUBPD_X8_X9 LONG $0xD00F4566; BYTE $0xC8 // ADDSUBPD X8, X9
// func ScalUnitary(alpha complex128, x []complex128)
TEXT ·ScalUnitary(SB), NOSPLIT, $0
MOVQ x_base+16(FP), SRC // SRC = &x
MOVQ x_len+24(FP), LEN // LEN = len(x)
CMPQ LEN, $0 // if LEN == 0 { return }
JE scal_end
MOVUPS alpha+0(FP), ALPHA // ALPHA = { imag(alpha), real(alpha) }
MOVAPS ALPHA, ALPHA_C
SHUFPD $0x1, ALPHA_C, ALPHA_C // ALPHA_C = { real(alpha), imag(alpha) }
XORQ IDX, IDX // IDX = 0
MOVAPS ALPHA, ALPHA2 // Copy ALPHA and ALPHA_C for pipelining
MOVAPS ALPHA_C, ALPHA_C2
MOVQ LEN, TAIL
SHRQ $2, LEN // LEN = floor( n / 4 )
JZ scal_tail // if BX == 0 { goto scal_tail }
scal_loop: // do {
MOVUPS (SRC)(IDX*8), X2 // X_i = { imag(x[i]), real(x[i]) }
MOVUPS 16(SRC)(IDX*8), X4
MOVUPS 32(SRC)(IDX*8), X6
MOVUPS 48(SRC)(IDX*8), X8
// X_(i+1) = { real(x[i], real(x[i]) }
MOVDDUP_X2_X3
MOVDDUP_X4_X5
MOVDDUP_X6_X7
MOVDDUP_X8_X9
// X_i = { imag(x[i]), imag(x[i]) }
SHUFPD $0x3, X2, X2
SHUFPD $0x3, X4, X4
SHUFPD $0x3, X6, X6
SHUFPD $0x3, X8, X8
// X_i = { real(ALPHA) * imag(x[i]), imag(ALPHA) * imag(x[i]) }
// X_(i+1) = { imag(ALPHA) * real(x[i]), real(ALPHA) * real(x[i]) }
MULPD ALPHA_C, X2
MULPD ALPHA, X3
MULPD ALPHA_C2, X4
MULPD ALPHA2, X5
MULPD ALPHA_C, X6
MULPD ALPHA, X7
MULPD ALPHA_C2, X8
MULPD ALPHA2, X9
// X_(i+1) = {
// imag(result[i]): imag(ALPHA)*real(x[i]) + real(ALPHA)*imag(x[i]),
// real(result[i]): real(ALPHA)*real(x[i]) - imag(ALPHA)*imag(x[i])
// }
ADDSUBPD_X2_X3
ADDSUBPD_X4_X5
ADDSUBPD_X6_X7
ADDSUBPD_X8_X9
MOVUPS X3, (DST)(IDX*8) // x[i] = X_(i+1)
MOVUPS X5, 16(DST)(IDX*8)
MOVUPS X7, 32(DST)(IDX*8)
MOVUPS X9, 48(DST)(IDX*8)
ADDQ $8, IDX // IDX += 8
DECQ LEN
JNZ scal_loop // } while --LEN > 0
scal_tail:
ANDQ $3, TAIL // TAIL = TAIL % 4
JZ scal_end // if TAIL == 0 { return }
scal_tail_loop: // do {
MOVUPS (SRC)(IDX*8), X2 // X_i = { imag(x[i]), real(x[i]) }
MOVDDUP_X2_X3 // X_(i+1) = { real(x[i], real(x[i]) }
SHUFPD $0x3, X2, X2 // X_i = { imag(x[i]), imag(x[i]) }
MULPD ALPHA_C, X2 // X_i = { real(ALPHA) * imag(x[i]), imag(ALPHA) * imag(x[i]) }
MULPD ALPHA, X3 // X_(i+1) = { imag(ALPHA) * real(x[i]), real(ALPHA) * real(x[i]) }
// X_(i+1) = {
// imag(result[i]): imag(ALPHA)*real(x[i]) + real(ALPHA)*imag(x[i]),
// real(result[i]): real(ALPHA)*real(x[i]) - imag(ALPHA)*imag(x[i])
// }
ADDSUBPD_X2_X3
MOVUPS X3, (DST)(IDX*8) // x[i] = X_(i+1)
ADDQ $2, IDX // IDX += 2
DECQ TAIL
JNZ scal_tail_loop // } while --LEN > 0
scal_end:
RET
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