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| // Copyright 2017 The Go Authors. All rights reserved.
| // Use of this source code is governed by a BSD-style
| // license that can be found in the LICENSE file.
|
| #include "textflag.h"
|
| // Minimax polynomial approximation and other constants
| DATA ·exprodataL22<> + 0(SB)/8, $800.0E+00
| DATA ·exprodataL22<> + 8(SB)/8, $1.0000000000000022e+00
| DATA ·exprodataL22<> + 16(SB)/8, $0.500000000000004237e+00
| DATA ·exprodataL22<> + 24(SB)/8, $0.166666666630345592e+00
| DATA ·exprodataL22<> + 32(SB)/8, $0.138926439368309441e-02
| DATA ·exprodataL22<> + 40(SB)/8, $0.833349307718286047e-02
| DATA ·exprodataL22<> + 48(SB)/8, $0.416666664838056960e-01
| DATA ·exprodataL22<> + 56(SB)/8, $-.231904681384629956E-16
| DATA ·exprodataL22<> + 64(SB)/8, $-.693147180559945286E+00
| DATA ·exprodataL22<> + 72(SB)/8, $0.144269504088896339E+01
| DATA ·exprodataL22<> + 80(SB)/8, $704.0E+00
| GLOBL ·exprodataL22<> + 0(SB), RODATA, $88
|
| DATA ·expxinf<> + 0(SB)/8, $0x7ff0000000000000
| GLOBL ·expxinf<> + 0(SB), RODATA, $8
| DATA ·expx4ff<> + 0(SB)/8, $0x4ff0000000000000
| GLOBL ·expx4ff<> + 0(SB), RODATA, $8
| DATA ·expx2ff<> + 0(SB)/8, $0x2ff0000000000000
| GLOBL ·expx2ff<> + 0(SB), RODATA, $8
| DATA ·expxaddexp<> + 0(SB)/8, $0xc2f0000100003fef
| GLOBL ·expxaddexp<> + 0(SB), RODATA, $8
|
| // Log multipliers table
| DATA ·exptexp<> + 0(SB)/8, $0.442737824274138381E-01
| DATA ·exptexp<> + 8(SB)/8, $0.263602189790660309E-01
| DATA ·exptexp<> + 16(SB)/8, $0.122565642281703586E-01
| DATA ·exptexp<> + 24(SB)/8, $0.143757052860721398E-02
| DATA ·exptexp<> + 32(SB)/8, $-.651375034121276075E-02
| DATA ·exptexp<> + 40(SB)/8, $-.119317678849450159E-01
| DATA ·exptexp<> + 48(SB)/8, $-.150868749549871069E-01
| DATA ·exptexp<> + 56(SB)/8, $-.161992609578469234E-01
| DATA ·exptexp<> + 64(SB)/8, $-.154492360403337917E-01
| DATA ·exptexp<> + 72(SB)/8, $-.129850717389178721E-01
| DATA ·exptexp<> + 80(SB)/8, $-.892902649276657891E-02
| DATA ·exptexp<> + 88(SB)/8, $-.338202636596794887E-02
| DATA ·exptexp<> + 96(SB)/8, $0.357266307045684762E-02
| DATA ·exptexp<> + 104(SB)/8, $0.118665304327406698E-01
| DATA ·exptexp<> + 112(SB)/8, $0.214434994118118914E-01
| DATA ·exptexp<> + 120(SB)/8, $0.322580645161290314E-01
| GLOBL ·exptexp<> + 0(SB), RODATA, $128
|
| // Exp returns e**x, the base-e exponential of x.
| //
| // Special cases are:
| // Exp(+Inf) = +Inf
| // Exp(NaN) = NaN
| // Very large values overflow to 0 or +Inf.
| // Very small values underflow to 1.
| // The algorithm used is minimax polynomial approximation using a table of
| // polynomial coefficients determined with a Remez exchange algorithm.
|
| TEXT ·expAsm(SB), NOSPLIT, $0-16
| FMOVD x+0(FP), F0
| MOVD $·exprodataL22<>+0(SB), R5
| LTDBR F0, F0
| BLTU L20
| FMOVD F0, F2
| L2:
| WORD $0xED205050 //cdb %f2,.L23-.L22(%r5)
| BYTE $0x00
| BYTE $0x19
| BGE L16
| BVS L16
| WFCEDBS V2, V2, V2
| BVS LEXITTAGexp
| MOVD $·expxaddexp<>+0(SB), R1
| FMOVD 72(R5), F6
| FMOVD 0(R1), F2
| WFMSDB V0, V6, V2, V6
| FMOVD 64(R5), F4
| FADD F6, F2
| FMOVD 56(R5), F1
| FMADD F4, F2, F0
| FMOVD 48(R5), F3
| WFMADB V2, V1, V0, V2
| FMOVD 40(R5), F1
| FMOVD 32(R5), F4
| FMUL F0, F0
| WFMADB V2, V4, V1, V4
| LGDR F6, R1
| FMOVD 24(R5), F1
| WFMADB V2, V3, V1, V3
| FMOVD 16(R5), F1
| WFMADB V0, V4, V3, V4
| FMOVD 8(R5), F3
| WFMADB V2, V1, V3, V1
| WORD $0xEC3139BC //risbg %r3,%r1,57,128+60,3
| BYTE $0x03
| BYTE $0x55
| WFMADB V0, V4, V1, V0
| MOVD $·exptexp<>+0(SB), R2
| WORD $0x68432000 //ld %f4,0(%r3,%r2)
| FMADD F4, F2, F2
| SLD $48, R1, R2
| WFMADB V2, V0, V4, V2
| LDGR R2, F0
| FMADD F0, F2, F0
| FMOVD F0, ret+8(FP)
| RET
| L16:
| WFCEDBS V2, V2, V4
| BVS LEXITTAGexp
| WORD $0xED205000 //cdb %f2,.L33-.L22(%r5)
| BYTE $0x00
| BYTE $0x19
| BLT L6
| WFCEDBS V2, V0, V0
| BVS L13
| MOVD $·expxinf<>+0(SB), R1
| FMOVD 0(R1), F0
| FMOVD F0, ret+8(FP)
| RET
| L20:
| WORD $0xB3130020 //lcdbr %f2,%f0
| BR L2
| L6:
| MOVD $·expxaddexp<>+0(SB), R1
| FMOVD 72(R5), F3
| FMOVD 0(R1), F4
| WFMSDB V0, V3, V4, V3
| FMOVD 64(R5), F6
| FADD F3, F4
| FMOVD 56(R5), F5
| WFMADB V4, V6, V0, V6
| FMOVD 32(R5), F1
| WFMADB V4, V5, V6, V4
| FMOVD 40(R5), F5
| FMUL F6, F6
| WFMADB V4, V1, V5, V1
| FMOVD 48(R5), F7
| LGDR F3, R1
| FMOVD 24(R5), F5
| WFMADB V4, V7, V5, V7
| FMOVD 16(R5), F5
| WFMADB V6, V1, V7, V1
| FMOVD 8(R5), F7
| WFMADB V4, V5, V7, V5
| WORD $0xEC3139BC //risbg %r3,%r1,57,128+60,3
| BYTE $0x03
| BYTE $0x55
| WFMADB V6, V1, V5, V6
| MOVD $·exptexp<>+0(SB), R2
| WFCHDBS V2, V0, V0
| WORD $0x68132000 //ld %f1,0(%r3,%r2)
| FMADD F1, F4, F4
| MOVD $0x4086000000000000, R2
| WFMADB V4, V6, V1, V4
| BEQ L21
| ADDW $0xF000, R1
| WORD $0xEC21000F //risbgn %r2,%r1,64-64+0,64-64+0+16-1,64-0-16
| BYTE $0x30
| BYTE $0x59
| LDGR R2, F0
| FMADD F0, F4, F0
| MOVD $·expx4ff<>+0(SB), R3
| FMOVD 0(R3), F2
| FMUL F2, F0
| FMOVD F0, ret+8(FP)
| RET
| L13:
| FMOVD $0, F0
| FMOVD F0, ret+8(FP)
| RET
| L21:
| ADDW $0x1000, R1
| WORD $0xEC21000F //risbgn %r2,%r1,64-64+0,64-64+0+16-1,64-0-16
| BYTE $0x30
| BYTE $0x59
| LDGR R2, F0
| FMADD F0, F4, F0
| MOVD $·expx2ff<>+0(SB), R3
| FMOVD 0(R3), F2
| FMUL F2, F0
| FMOVD F0, ret+8(FP)
| RET
| LEXITTAGexp:
| FMOVD F0, ret+8(FP)
| RET
|
|
