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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 coefficients and other constants
| DATA ·cbrtrodataL9<> + 0(SB)/8, $-.00016272731015974436E+00
| DATA ·cbrtrodataL9<> + 8(SB)/8, $0.66639548758285293179E+00
| DATA ·cbrtrodataL9<> + 16(SB)/8, $0.55519402697349815993E+00
| DATA ·cbrtrodataL9<> + 24(SB)/8, $0.49338566048766782004E+00
| DATA ·cbrtrodataL9<> + 32(SB)/8, $0.45208160036325611486E+00
| DATA ·cbrtrodataL9<> + 40(SB)/8, $0.43099892837778637816E+00
| DATA ·cbrtrodataL9<> + 48(SB)/8, $1.000244140625
| DATA ·cbrtrodataL9<> + 56(SB)/8, $0.33333333333333333333E+00
| DATA ·cbrtrodataL9<> + 64(SB)/8, $79228162514264337593543950336.
| GLOBL ·cbrtrodataL9<> + 0(SB), RODATA, $72
|
| // Index tables
| DATA ·cbrttab32069<> + 0(SB)/8, $0x404030303020202
| DATA ·cbrttab32069<> + 8(SB)/8, $0x101010101000000
| DATA ·cbrttab32069<> + 16(SB)/8, $0x808070706060605
| DATA ·cbrttab32069<> + 24(SB)/8, $0x505040404040303
| DATA ·cbrttab32069<> + 32(SB)/8, $0xe0d0c0c0b0b0b0a
| DATA ·cbrttab32069<> + 40(SB)/8, $0xa09090908080808
| DATA ·cbrttab32069<> + 48(SB)/8, $0x11111010100f0f0f
| DATA ·cbrttab32069<> + 56(SB)/8, $0xe0e0e0e0e0d0d0d
| DATA ·cbrttab32069<> + 64(SB)/8, $0x1515141413131312
| DATA ·cbrttab32069<> + 72(SB)/8, $0x1212111111111010
| GLOBL ·cbrttab32069<> + 0(SB), RODATA, $80
|
| DATA ·cbrttab22068<> + 0(SB)/8, $0x151015001420141
| DATA ·cbrttab22068<> + 8(SB)/8, $0x140013201310130
| DATA ·cbrttab22068<> + 16(SB)/8, $0x122012101200112
| DATA ·cbrttab22068<> + 24(SB)/8, $0x111011001020101
| DATA ·cbrttab22068<> + 32(SB)/8, $0x10000f200f100f0
| DATA ·cbrttab22068<> + 40(SB)/8, $0xe200e100e000d2
| DATA ·cbrttab22068<> + 48(SB)/8, $0xd100d000c200c1
| DATA ·cbrttab22068<> + 56(SB)/8, $0xc000b200b100b0
| DATA ·cbrttab22068<> + 64(SB)/8, $0xa200a100a00092
| DATA ·cbrttab22068<> + 72(SB)/8, $0x91009000820081
| DATA ·cbrttab22068<> + 80(SB)/8, $0x80007200710070
| DATA ·cbrttab22068<> + 88(SB)/8, $0x62006100600052
| DATA ·cbrttab22068<> + 96(SB)/8, $0x51005000420041
| DATA ·cbrttab22068<> + 104(SB)/8, $0x40003200310030
| DATA ·cbrttab22068<> + 112(SB)/8, $0x22002100200012
| DATA ·cbrttab22068<> + 120(SB)/8, $0x11001000020001
| GLOBL ·cbrttab22068<> + 0(SB), RODATA, $128
|
| DATA ·cbrttab12067<> + 0(SB)/8, $0x53e1529051324fe1
| DATA ·cbrttab12067<> + 8(SB)/8, $0x4e904d324be14a90
| DATA ·cbrttab12067<> + 16(SB)/8, $0x493247e146904532
| DATA ·cbrttab12067<> + 24(SB)/8, $0x43e1429041323fe1
| DATA ·cbrttab12067<> + 32(SB)/8, $0x3e903d323be13a90
| DATA ·cbrttab12067<> + 40(SB)/8, $0x393237e136903532
| DATA ·cbrttab12067<> + 48(SB)/8, $0x33e1329031322fe1
| DATA ·cbrttab12067<> + 56(SB)/8, $0x2e902d322be12a90
| DATA ·cbrttab12067<> + 64(SB)/8, $0xd3e1d290d132cfe1
| DATA ·cbrttab12067<> + 72(SB)/8, $0xce90cd32cbe1ca90
| DATA ·cbrttab12067<> + 80(SB)/8, $0xc932c7e1c690c532
| DATA ·cbrttab12067<> + 88(SB)/8, $0xc3e1c290c132bfe1
| DATA ·cbrttab12067<> + 96(SB)/8, $0xbe90bd32bbe1ba90
| DATA ·cbrttab12067<> + 104(SB)/8, $0xb932b7e1b690b532
| DATA ·cbrttab12067<> + 112(SB)/8, $0xb3e1b290b132afe1
| DATA ·cbrttab12067<> + 120(SB)/8, $0xae90ad32abe1aa90
| GLOBL ·cbrttab12067<> + 0(SB), RODATA, $128
|
| // Cbrt returns the cube root of the argument.
| //
| // Special cases are:
| // Cbrt(±0) = ±0
| // Cbrt(±Inf) = ±Inf
| // Cbrt(NaN) = NaN
| // The algorithm used is minimax polynomial approximation
| // with coefficients determined with a Remez exchange algorithm.
|
| TEXT ·cbrtAsm(SB), NOSPLIT, $0-16
| FMOVD x+0(FP), F0
| MOVD $·cbrtrodataL9<>+0(SB), R9
| LGDR F0, R2
| WORD $0xC039000F //iilf %r3,1048575
| BYTE $0xFF
| BYTE $0xFF
| SRAD $32, R2
| WORD $0xB9170012 //llgtr %r1,%r2
| MOVW R1, R6
| MOVW R3, R7
| CMPBLE R6, R7, L2
| WORD $0xC0397FEF //iilf %r3,2146435071
| BYTE $0xFF
| BYTE $0xFF
| MOVW R3, R7
| CMPBLE R6, R7, L8
| L1:
| FMOVD F0, ret+8(FP)
| RET
| L3:
| L2:
| LTDBR F0, F0
| BEQ L1
| FMOVD F0, F2
| WORD $0xED209040 //mdb %f2,.L10-.L9(%r9)
| BYTE $0x00
| BYTE $0x1C
| MOVH $0x200, R4
| LGDR F2, R2
| SRAD $32, R2
| L4:
| WORD $0xEC3239BE //risbg %r3,%r2,57,128+62,64-25
| BYTE $0x27
| BYTE $0x55
| MOVD $·cbrttab12067<>+0(SB), R1
| WORD $0x48131000 //lh %r1,0(%r3,%r1)
| WORD $0xEC3239BE //risbg %r3,%r2,57,128+62,64-19
| BYTE $0x2D
| BYTE $0x55
| MOVD $·cbrttab22068<>+0(SB), R5
| WORD $0xEC223CBF //risbgn %r2,%r2,64-4,128+63,64+44+4
| BYTE $0x70
| BYTE $0x59
| WORD $0x4A135000 //ah %r1,0(%r3,%r5)
| BYTE $0x18 //lr %r3,%r1
| BYTE $0x31
| MOVD $·cbrttab32069<>+0(SB), R1
| FMOVD 56(R9), F1
| FMOVD 48(R9), F5
| WORD $0xEC23393B //rosbg %r2,%r3,57,59,4
| BYTE $0x04
| BYTE $0x56
| WORD $0xE3121000 //llc %r1,0(%r2,%r1)
| BYTE $0x00
| BYTE $0x94
| ADDW R3, R1
| ADDW R4, R1
| SLW $16, R1, R1
| SLD $32, R1, R1
| LDGR R1, F2
| WFMDB V2, V2, V4
| WFMDB V4, V0, V6
| WFMSDB V4, V6, V2, V4
| FMOVD 40(R9), F6
| FMSUB F1, F4, F2
| FMOVD 32(R9), F4
| WFMDB V2, V2, V3
| FMOVD 24(R9), F1
| FMUL F3, F0
| FMOVD 16(R9), F3
| WFMADB V2, V0, V5, V2
| FMOVD 8(R9), F5
| FMADD F6, F2, F4
| WFMADB V2, V1, V3, V1
| WFMDB V2, V2, V6
| FMOVD 0(R9), F3
| WFMADB V4, V6, V1, V4
| WFMADB V2, V5, V3, V2
| FMADD F4, F6, F2
| FMADD F2, F0, F0
| FMOVD F0, ret+8(FP)
| RET
| L8:
| MOVH $0x0, R4
| BR L4
|
|