1 // Copyright ©2016 The Gonum Authors. All rights reserved.
2 // Use of this source code is governed by a BSD-style
3 // license that can be found in the LICENSE file.
5 //+build !noasm,!appengine
9 #define MOVSHDUP_X3_X2 LONG $0xD3160FF3 // MOVSHDUP X3, X2
10 #define MOVSHDUP_X5_X4 LONG $0xE5160FF3 // MOVSHDUP X5, X4
11 #define MOVSHDUP_X7_X6 LONG $0xF7160FF3 // MOVSHDUP X7, X6
12 #define MOVSHDUP_X9_X8 LONG $0x160F45F3; BYTE $0xC1 // MOVSHDUP X9, X8
14 #define MOVSLDUP_X3_X3 LONG $0xDB120FF3 // MOVSLDUP X3, X3
15 #define MOVSLDUP_X5_X5 LONG $0xED120FF3 // MOVSLDUP X5, X5
16 #define MOVSLDUP_X7_X7 LONG $0xFF120FF3 // MOVSLDUP X7, X7
17 #define MOVSLDUP_X9_X9 LONG $0x120F45F3; BYTE $0xC9 // MOVSLDUP X9, X9
19 #define ADDSUBPS_X2_X3 LONG $0xDAD00FF2 // ADDSUBPS X2, X3
20 #define ADDSUBPS_X4_X5 LONG $0xECD00FF2 // ADDSUBPS X4, X5
21 #define ADDSUBPS_X6_X7 LONG $0xFED00FF2 // ADDSUBPS X6, X7
22 #define ADDSUBPS_X8_X9 LONG $0xD00F45F2; BYTE $0xC8 // ADDSUBPS X8, X9
37 // func DotcInc(x, y []complex64, n, incX, incY, ix, iy uintptr) (sum complex64)
38 TEXT ·DotcInc(SB), NOSPLIT, $0
39 MOVQ x_base+0(FP), X_PTR // X_PTR = &x
40 MOVQ y_base+24(FP), Y_PTR // Y_PTR = &y
41 PXOR SUM, SUM // SUM = 0
42 PXOR P_SUM, P_SUM // P_SUM = 0
43 MOVQ n+48(FP), LEN // LEN = n
44 CMPQ LEN, $0 // if LEN == 0 { return }
48 LEAQ (X_PTR)(INC_X*8), X_PTR // X_PTR = &(X_PTR[ix])
49 LEAQ (Y_PTR)(INC_Y*8), Y_PTR // Y_PTR = &(Y_PTR[iy])
50 MOVQ incX+56(FP), INC_X // INC_X = incX * sizeof(complex64)
52 MOVQ incY+64(FP), INC_Y // INC_Y = incY * sizeof(complex64)
55 SHUFPS $0, NEG1, NEG1 // { -1, -1, -1, -1 }
58 ANDQ $3, TAIL // TAIL = LEN % 4
59 SHRQ $2, LEN // LEN = floor( LEN / 4 )
60 JZ dotc_tail // if LEN == 0 { goto dotc_tail }
62 MOVUPS NEG1, P_NEG1 // Copy NEG1 for pipelining
63 LEAQ (INC_X)(INC_X*2), INCx3_X // INCx3_X = INC_X * 3
64 LEAQ (INC_Y)(INC_Y*2), INCx3_Y // INCx3_Y = INC_Y * 3
67 MOVSD (X_PTR), X3 // X_i = { imag(x[i]), real(x[i]) }
68 MOVSD (X_PTR)(INC_X*1), X5
69 MOVSD (X_PTR)(INC_X*2), X7
70 MOVSD (X_PTR)(INCx3_X*1), X9
72 // X_(i-1) = { imag(x[i]), imag(x[i]) }
78 // X_i = { real(x[i]), real(x[i]) }
84 // X_(i-1) = { -imag(x[i]), -imag(x[i]) }
90 // X_j = { imag(y[i]), real(y[i]) }
92 MOVSD (Y_PTR)(INC_Y*1), X11
93 MOVSD (Y_PTR)(INC_Y*2), X12
94 MOVSD (Y_PTR)(INCx3_Y*1), X13
96 // X_i = { imag(y[i]) * real(x[i]), real(y[i]) * real(x[i]) }
102 // X_j = { real(y[i]), imag(y[i]) }
103 SHUFPS $0xB1, X10, X10
104 SHUFPS $0xB1, X11, X11
105 SHUFPS $0xB1, X12, X12
106 SHUFPS $0xB1, X13, X13
108 // X_(i-1) = { real(y[i]) * imag(x[i]), imag(y[i]) * imag(x[i]) }
115 // imag(result[i]): imag(y[i]) * real(x[i]) + real(y[i]) * imag(x[i]),
116 // real(result[i]): real(y[i]) * real(x[i]) - imag(y[i]) * imag(x[i]) }
128 LEAQ (X_PTR)(INC_X*4), X_PTR // X_PTR = &(X_PTR[INC_X*4])
129 LEAQ (Y_PTR)(INC_Y*4), Y_PTR // Y_PTR = &(Y_PTR[INC_Y*4])
132 JNZ dotc_loop // } while --LEN > 0
134 ADDPS P_SUM, SUM // SUM = { P_SUM + SUM }
135 CMPQ TAIL, $0 // if TAIL == 0 { return }
139 MOVSD (X_PTR), X3 // X_i = { imag(x[i]), real(x[i]) }
140 MOVSHDUP_X3_X2 // X_(i-1) = { imag(x[i]), imag(x[i]) }
141 MOVSLDUP_X3_X3 // X_i = { real(x[i]), real(x[i]) }
142 MULPS NEG1, X2 // X_(i-1) = { -imag(x[i]), imag(x[i]) }
143 MOVUPS (Y_PTR), X10 // X_j = { imag(y[i]), real(y[i]) }
144 MULPS X10, X3 // X_i = { imag(y[i]) * real(x[i]), real(y[i]) * real(x[i]) }
145 SHUFPS $0x1, X10, X10 // X_j = { real(y[i]), imag(y[i]) }
146 MULPS X10, X2 // X_(i-1) = { real(y[i]) * imag(x[i]), imag(y[i]) * imag(x[i]) }
149 // imag(result[i]): imag(y[i])*real(x[i]) + real(y[i])*imag(x[i]),
150 // real(result[i]): real(y[i])*real(x[i]) - imag(y[i])*imag(x[i]) }
152 ADDPS X3, SUM // SUM += X_i
153 ADDQ INC_X, X_PTR // X_PTR += INC_X
154 ADDQ INC_Y, Y_PTR // Y_PTR += INC_Y
156 JNZ dotc_tail // } while --TAIL > 0
159 MOVSD SUM, sum+88(FP) // return SUM