summaryrefslogtreecommitdiffstats
path: root/src/math/log_amd64.s
diff options
context:
space:
mode:
authorDaniel Baumann <daniel.baumann@progress-linux.org>2024-04-16 19:23:18 +0000
committerDaniel Baumann <daniel.baumann@progress-linux.org>2024-04-16 19:23:18 +0000
commit43a123c1ae6613b3efeed291fa552ecd909d3acf (patch)
treefd92518b7024bc74031f78a1cf9e454b65e73665 /src/math/log_amd64.s
parentInitial commit. (diff)
downloadgolang-1.20-43a123c1ae6613b3efeed291fa552ecd909d3acf.tar.xz
golang-1.20-43a123c1ae6613b3efeed291fa552ecd909d3acf.zip
Adding upstream version 1.20.14.upstream/1.20.14upstream
Signed-off-by: Daniel Baumann <daniel.baumann@progress-linux.org>
Diffstat (limited to 'src/math/log_amd64.s')
-rw-r--r--src/math/log_amd64.s112
1 files changed, 112 insertions, 0 deletions
diff --git a/src/math/log_amd64.s b/src/math/log_amd64.s
new file mode 100644
index 0000000..d84091f
--- /dev/null
+++ b/src/math/log_amd64.s
@@ -0,0 +1,112 @@
+// Copyright 2010 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"
+
+#define HSqrt2 7.07106781186547524401e-01 // sqrt(2)/2
+#define Ln2Hi 6.93147180369123816490e-01 // 0x3fe62e42fee00000
+#define Ln2Lo 1.90821492927058770002e-10 // 0x3dea39ef35793c76
+#define L1 6.666666666666735130e-01 // 0x3FE5555555555593
+#define L2 3.999999999940941908e-01 // 0x3FD999999997FA04
+#define L3 2.857142874366239149e-01 // 0x3FD2492494229359
+#define L4 2.222219843214978396e-01 // 0x3FCC71C51D8E78AF
+#define L5 1.818357216161805012e-01 // 0x3FC7466496CB03DE
+#define L6 1.531383769920937332e-01 // 0x3FC39A09D078C69F
+#define L7 1.479819860511658591e-01 // 0x3FC2F112DF3E5244
+#define NaN 0x7FF8000000000001
+#define NegInf 0xFFF0000000000000
+#define PosInf 0x7FF0000000000000
+
+// func Log(x float64) float64
+TEXT ·archLog(SB),NOSPLIT,$0
+ // test bits for special cases
+ MOVQ x+0(FP), BX
+ MOVQ $~(1<<63), AX // sign bit mask
+ ANDQ BX, AX
+ JEQ isZero
+ MOVQ $0, AX
+ CMPQ AX, BX
+ JGT isNegative
+ MOVQ $PosInf, AX
+ CMPQ AX, BX
+ JLE isInfOrNaN
+ // f1, ki := math.Frexp(x); k := float64(ki)
+ MOVQ BX, X0
+ MOVQ $0x000FFFFFFFFFFFFF, AX
+ MOVQ AX, X2
+ ANDPD X0, X2
+ MOVSD $0.5, X0 // 0x3FE0000000000000
+ ORPD X0, X2 // X2= f1
+ SHRQ $52, BX
+ ANDL $0x7FF, BX
+ SUBL $0x3FE, BX
+ XORPS X1, X1 // break dependency for CVTSL2SD
+ CVTSL2SD BX, X1 // x1= k, x2= f1
+ // if f1 < math.Sqrt2/2 { k -= 1; f1 *= 2 }
+ MOVSD $HSqrt2, X0 // x0= 0.7071, x1= k, x2= f1
+ CMPSD X2, X0, 5 // cmpnlt; x0= 0 or ^0, x1= k, x2 = f1
+ MOVSD $1.0, X3 // x0= 0 or ^0, x1= k, x2 = f1, x3= 1
+ ANDPD X0, X3 // x0= 0 or ^0, x1= k, x2 = f1, x3= 0 or 1
+ SUBSD X3, X1 // x0= 0 or ^0, x1= k, x2 = f1, x3= 0 or 1
+ MOVSD $1.0, X0 // x0= 1, x1= k, x2= f1, x3= 0 or 1
+ ADDSD X0, X3 // x0= 1, x1= k, x2= f1, x3= 1 or 2
+ MULSD X3, X2 // x0= 1, x1= k, x2= f1
+ // f := f1 - 1
+ SUBSD X0, X2 // x1= k, x2= f
+ // s := f / (2 + f)
+ MOVSD $2.0, X0
+ ADDSD X2, X0
+ MOVAPD X2, X3
+ DIVSD X0, X3 // x1=k, x2= f, x3= s
+ // s2 := s * s
+ MOVAPD X3, X4 // x1= k, x2= f, x3= s
+ MULSD X4, X4 // x1= k, x2= f, x3= s, x4= s2
+ // s4 := s2 * s2
+ MOVAPD X4, X5 // x1= k, x2= f, x3= s, x4= s2
+ MULSD X5, X5 // x1= k, x2= f, x3= s, x4= s2, x5= s4
+ // t1 := s2 * (L1 + s4*(L3+s4*(L5+s4*L7)))
+ MOVSD $L7, X6
+ MULSD X5, X6
+ ADDSD $L5, X6
+ MULSD X5, X6
+ ADDSD $L3, X6
+ MULSD X5, X6
+ ADDSD $L1, X6
+ MULSD X6, X4 // x1= k, x2= f, x3= s, x4= t1, x5= s4
+ // t2 := s4 * (L2 + s4*(L4+s4*L6))
+ MOVSD $L6, X6
+ MULSD X5, X6
+ ADDSD $L4, X6
+ MULSD X5, X6
+ ADDSD $L2, X6
+ MULSD X6, X5 // x1= k, x2= f, x3= s, x4= t1, x5= t2
+ // R := t1 + t2
+ ADDSD X5, X4 // x1= k, x2= f, x3= s, x4= R
+ // hfsq := 0.5 * f * f
+ MOVSD $0.5, X0
+ MULSD X2, X0
+ MULSD X2, X0 // x0= hfsq, x1= k, x2= f, x3= s, x4= R
+ // return k*Ln2Hi - ((hfsq - (s*(hfsq+R) + k*Ln2Lo)) - f)
+ ADDSD X0, X4 // x0= hfsq, x1= k, x2= f, x3= s, x4= hfsq+R
+ MULSD X4, X3 // x0= hfsq, x1= k, x2= f, x3= s*(hfsq+R)
+ MOVSD $Ln2Lo, X4
+ MULSD X1, X4 // x4= k*Ln2Lo
+ ADDSD X4, X3 // x0= hfsq, x1= k, x2= f, x3= s*(hfsq+R)+k*Ln2Lo
+ SUBSD X3, X0 // x0= hfsq-(s*(hfsq+R)+k*Ln2Lo), x1= k, x2= f
+ SUBSD X2, X0 // x0= (hfsq-(s*(hfsq+R)+k*Ln2Lo))-f, x1= k
+ MULSD $Ln2Hi, X1 // x0= (hfsq-(s*(hfsq+R)+k*Ln2Lo))-f, x1= k*Ln2Hi
+ SUBSD X0, X1 // x1= k*Ln2Hi-((hfsq-(s*(hfsq+R)+k*Ln2Lo))-f)
+ MOVSD X1, ret+8(FP)
+ RET
+isInfOrNaN:
+ MOVQ BX, ret+8(FP) // +Inf or NaN, return x
+ RET
+isNegative:
+ MOVQ $NaN, AX
+ MOVQ AX, ret+8(FP) // return NaN
+ RET
+isZero:
+ MOVQ $NegInf, AX
+ MOVQ AX, ret+8(FP) // return -Inf
+ RET