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go
golang
Commits
5bf57c1b
Commit
5bf57c1b
authored
Jun 02, 2011
by
Robert Griesemer
Browse files
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Plain Diff
big: remove some unnecessary conversions
R=rsc CC=golang-dev
https://golang.org/cl/4529110
parent
2a8ea0d1
Hide whitespace changes
Inline
Side-by-side
Showing
7 changed files
with
60 additions
and
42 deletions
+60
-42
arith.go
src/pkg/big/arith.go
+2
-2
arith_386.s
src/pkg/big/arith_386.s
+4
-4
arith_amd64.s
src/pkg/big/arith_amd64.s
+6
-6
arith_arm.s
src/pkg/big/arith_arm.s
+9
-3
arith_decl.go
src/pkg/big/arith_decl.go
+2
-2
arith_test.go
src/pkg/big/arith_test.go
+15
-4
nat.go
src/pkg/big/nat.go
+22
-21
No files found.
src/pkg/big/arith.go
View file @
5bf57c1b
...
...
@@ -188,7 +188,7 @@ func subVW_g(z, x []Word, y Word) (c Word) {
}
func
shlV
W_g
(
z
,
x
[]
Word
,
s
Word
)
(
c
Word
)
{
func
shlV
U_g
(
z
,
x
[]
Word
,
s
uint
)
(
c
Word
)
{
if
n
:=
len
(
z
);
n
>
0
{
ŝ
:=
_W
-
s
w1
:=
x
[
n
-
1
]
...
...
@@ -204,7 +204,7 @@ func shlVW_g(z, x []Word, s Word) (c Word) {
}
func
shrV
W_g
(
z
,
x
[]
Word
,
s
Word
)
(
c
Word
)
{
func
shrV
U_g
(
z
,
x
[]
Word
,
s
uint
)
(
c
Word
)
{
if
n
:=
len
(
z
);
n
>
0
{
ŝ
:=
_W
-
s
w1
:=
x
[
0
]
...
...
src/pkg/big/arith_386.s
View file @
5bf57c1b
...
...
@@ -118,8 +118,8 @@ E4: CMPL BX, BP // i < n
RET
// func shlV
W(z, x []Word, s Word
) (c Word)
TEXT ·shlV
W
(SB),7,$0
// func shlV
U(z, x []Word, s uint
) (c Word)
TEXT ·shlV
U
(SB),7,$0
MOVL n+4(FP), BX // i = n
SUBL $1, BX // i--
JL X8b // i < 0 (n <= 0)
...
...
@@ -153,8 +153,8 @@ X8b: MOVL $0, c+28(FP)
RET
// func shrV
W(z, x []Word, s Word
) (c Word)
TEXT ·shrV
W
(SB),7,$0
// func shrV
U(z, x []Word, s uint
) (c Word)
TEXT ·shrV
U
(SB),7,$0
MOVL n+4(FP), BP
SUBL $1, BP // n--
JL X9b // n < 0 (n <= 0)
...
...
src/pkg/big/arith_amd64.s
View file @
5bf57c1b
...
...
@@ -120,8 +120,8 @@ E4: CMPQ BX, R11 // i < n
RET
// func shlV
W(z, x []Word, s Word
) (c Word)
TEXT ·shlV
W
(SB),7,$0
// func shlV
U(z, x []Word, s uint
) (c Word)
TEXT ·shlV
U
(SB),7,$0
MOVL n+8(FP), BX // i = n
SUBL $1, BX // i--
JL X8b // i < 0 (n <= 0)
...
...
@@ -129,7 +129,7 @@ TEXT ·shlVW(SB),7,$0
// n > 0
MOVQ z+0(FP), R10
MOVQ x+16(FP), R8
MOV
Q
s+32(FP), CX
MOV
L
s+32(FP), CX
MOVQ (R8)(BX*8), AX // w1 = x[n-1]
MOVQ $0, DX
SHLQ CX, DX:AX // w1>>ŝ
...
...
@@ -155,8 +155,8 @@ X8b: MOVQ $0, c+40(FP)
RET
// func shrV
W(z, x []Word, s Word
) (c Word)
TEXT ·shrV
W
(SB),7,$0
// func shrV
U(z, x []Word, s uint
) (c Word)
TEXT ·shrV
U
(SB),7,$0
MOVL n+8(FP), R11
SUBL $1, R11 // n--
JL X9b // n < 0 (n <= 0)
...
...
@@ -164,7 +164,7 @@ TEXT ·shrVW(SB),7,$0
// n > 0
MOVQ z+0(FP), R10
MOVQ x+16(FP), R8
MOV
Q
s+32(FP), CX
MOV
L
s+32(FP), CX
MOVQ (R8), AX // w1 = x[0]
MOVQ $0, DX
SHRQ CX, DX:AX // w1<<ŝ
...
...
src/pkg/big/arith_arm.s
View file @
5bf57c1b
...
...
@@ -97,6 +97,7 @@ E3:
RET
// func subVW(z, x []Word, y Word) (c Word)
TEXT ·subVW(SB),7,$0
MOVW z+0(FP), R1
MOVW x+12(FP), R2
...
...
@@ -131,8 +132,8 @@ E4:
RET
// func shlV
W(z, x []Word, s Word
) (c Word)
TEXT ·shlV
W
(SB),7,$0
// func shlV
U(z, x []Word, s uint
) (c Word)
TEXT ·shlV
U
(SB),7,$0
MOVW n+4(FP), R5
CMP $0, R5
BEQ X7
...
...
@@ -180,7 +181,8 @@ X7:
RET
TEXT ·shrVW(SB),7,$0
// func shrVU(z, x []Word, s uint) (c Word)
TEXT ·shrVU(SB),7,$0
MOVW n+4(FP), R5
CMP $0, R5
BEQ X6
...
...
@@ -229,6 +231,7 @@ X6:
RET
// func mulAddVWW(z, x []Word, y, r Word) (c Word)
TEXT ·mulAddVWW(SB),7,$0
MOVW $0, R0
MOVW z+0(FP), R1
...
...
@@ -256,6 +259,7 @@ E8:
RET
// func addMulVVW(z, x []Word, y Word) (c Word)
TEXT ·addMulVVW(SB),7,$0
MOVW $0, R0
MOVW z+0(FP), R1
...
...
@@ -286,11 +290,13 @@ E9:
RET
// divWVW(z* Word, xn Word, x []Word, y Word) (r Word)
TEXT ·divWVW(SB),7,$0
// ARM has no multiword division, so use portable code.
B ·divWVW_g(SB)
// func divWW(x1, x0, y Word) (q, r Word)
TEXT ·divWW(SB),7,$0
// ARM has no multiword division, so use portable code.
B ·divWW_g(SB)
...
...
src/pkg/big/arith_decl.go
View file @
5bf57c1b
...
...
@@ -11,8 +11,8 @@ func addVV(z, x, y []Word) (c Word)
func
subVV
(
z
,
x
,
y
[]
Word
)
(
c
Word
)
func
addVW
(
z
,
x
[]
Word
,
y
Word
)
(
c
Word
)
func
subVW
(
z
,
x
[]
Word
,
y
Word
)
(
c
Word
)
func
shlV
W
(
z
,
x
[]
Word
,
s
Word
)
(
c
Word
)
func
shrV
W
(
z
,
x
[]
Word
,
s
Word
)
(
c
Word
)
func
shlV
U
(
z
,
x
[]
Word
,
s
uint
)
(
c
Word
)
func
shrV
U
(
z
,
x
[]
Word
,
s
uint
)
(
c
Word
)
func
mulAddVWW
(
z
,
x
[]
Word
,
y
,
r
Word
)
(
c
Word
)
func
addMulVVW
(
z
,
x
[]
Word
,
y
Word
)
(
c
Word
)
func
divWVW
(
z
[]
Word
,
xn
Word
,
x
[]
Word
,
y
Word
)
(
r
Word
)
src/pkg/big/arith_test.go
View file @
5bf57c1b
...
...
@@ -185,6 +185,13 @@ func testFunVW(t *testing.T, msg string, f funVW, a argVW) {
}
func
makeFunVW
(
f
func
(
z
,
x
[]
Word
,
s
uint
)
(
c
Word
))
funVW
{
return
func
(
z
,
x
[]
Word
,
s
Word
)
(
c
Word
)
{
return
f
(
z
,
x
,
uint
(
s
))
}
}
func
TestFunVW
(
t
*
testing
.
T
)
{
for
_
,
a
:=
range
sumVW
{
arg
:=
a
...
...
@@ -196,16 +203,20 @@ func TestFunVW(t *testing.T) {
testFunVW
(
t
,
"subVW"
,
subVW
,
arg
)
}
shlVW_g
:=
makeFunVW
(
shlVU_g
)
shlVW
:=
makeFunVW
(
shlVU
)
for
_
,
a
:=
range
lshVW
{
arg
:=
a
testFunVW
(
t
,
"shlV
W
_g"
,
shlVW_g
,
arg
)
testFunVW
(
t
,
"shlV
W
"
,
shlVW
,
arg
)
testFunVW
(
t
,
"shlV
U
_g"
,
shlVW_g
,
arg
)
testFunVW
(
t
,
"shlV
U
"
,
shlVW
,
arg
)
}
shrVW_g
:=
makeFunVW
(
shrVU_g
)
shrVW
:=
makeFunVW
(
shrVU
)
for
_
,
a
:=
range
rshVW
{
arg
:=
a
testFunVW
(
t
,
"shrV
W
_g"
,
shrVW_g
,
arg
)
testFunVW
(
t
,
"shrV
W
"
,
shrVW
,
arg
)
testFunVW
(
t
,
"shrV
U
_g"
,
shrVW_g
,
arg
)
testFunVW
(
t
,
"shrV
U
"
,
shrVW
,
arg
)
}
}
...
...
src/pkg/big/nat.go
View file @
5bf57c1b
...
...
@@ -550,14 +550,14 @@ func (z nat) divLarge(u, uIn, v nat) (q, r nat) {
u
.
clear
()
// D1.
shift
:=
Word
(
leadingZeros
(
v
[
n
-
1
])
)
shift
:=
leadingZeros
(
v
[
n
-
1
]
)
if
shift
>
0
{
// do not modify v, it may be used by another goroutine simultaneously
v1
:=
make
(
nat
,
n
)
shlV
W
(
v1
,
v
,
shift
)
shlV
U
(
v1
,
v
,
shift
)
v
=
v1
}
u
[
len
(
uIn
)]
=
shlV
W
(
u
[
0
:
len
(
uIn
)],
uIn
,
shift
)
u
[
len
(
uIn
)]
=
shlV
U
(
u
[
0
:
len
(
uIn
)],
uIn
,
shift
)
// D2.
for
j
:=
m
;
j
>=
0
;
j
--
{
...
...
@@ -596,7 +596,7 @@ func (z nat) divLarge(u, uIn, v nat) (q, r nat) {
}
q
=
q
.
norm
()
shrV
W
(
u
,
u
,
shift
)
shrV
U
(
u
,
u
,
shift
)
r
=
u
.
norm
()
return
q
,
r
...
...
@@ -824,7 +824,7 @@ func (z nat) shl(x nat, s uint) nat {
n
:=
m
+
int
(
s
/
_W
)
z
=
z
.
make
(
n
+
1
)
z
[
n
]
=
shlV
W
(
z
[
n
-
m
:
n
],
x
,
Word
(
s
%
_W
)
)
z
[
n
]
=
shlV
U
(
z
[
n
-
m
:
n
],
x
,
s
%
_W
)
z
[
0
:
n
-
m
]
.
clear
()
return
z
.
norm
()
...
...
@@ -841,7 +841,7 @@ func (z nat) shr(x nat, s uint) nat {
// n > 0
z
=
z
.
make
(
n
)
shrV
W
(
z
,
x
[
m
-
n
:
],
Word
(
s
%
_W
)
)
shrV
U
(
z
,
x
[
m
-
n
:
],
s
%
_W
)
return
z
.
norm
()
}
...
...
@@ -972,25 +972,26 @@ func (x nat) modW(d Word) (r Word) {
}
// powersOfTwoDecompose finds q and k
such that q * 1<<k = n and q is odd
.
func
(
n
nat
)
powersOfTwoDecompose
()
(
q
nat
,
k
Word
)
{
if
len
(
n
)
==
0
{
return
n
,
0
// powersOfTwoDecompose finds q and k
with x = q * 1<<k and q is odd, or q and k are 0
.
func
(
x
nat
)
powersOfTwoDecompose
()
(
q
nat
,
k
int
)
{
if
len
(
x
)
==
0
{
return
x
,
0
}
zeroWords
:=
0
for
n
[
zeroWords
]
==
0
{
zeroWords
++
// One of the words must be non-zero by definition,
// so this loop will terminate with i < len(x), and
// i is the number of 0 words.
i
:=
0
for
x
[
i
]
==
0
{
i
++
}
// One of the words must be non-zero by invariant, therefore
// zeroWords < len(n).
x
:=
trailingZeroBits
(
n
[
zeroWords
])
n
:=
trailingZeroBits
(
x
[
i
])
// x[i] != 0
q
=
q
.
make
(
len
(
n
)
-
zeroWords
)
shrVW
(
q
,
n
[
zeroWords
:
],
Word
(
x
))
q
=
q
.
norm
()
q
=
make
(
nat
,
len
(
x
)
-
i
)
shrVU
(
q
,
x
[
i
:
],
uint
(
n
))
k
=
Word
(
_W
*
zeroWords
+
x
)
q
=
q
.
norm
()
k
=
i
*
_W
+
n
return
}
...
...
@@ -1161,7 +1162,7 @@ NextRandom:
if
y
.
cmp
(
natOne
)
==
0
||
y
.
cmp
(
nm1
)
==
0
{
continue
}
for
j
:=
Word
(
1
)
;
j
<
k
;
j
++
{
for
j
:=
1
;
j
<
k
;
j
++
{
y
=
y
.
mul
(
y
,
y
)
quotient
,
y
=
quotient
.
div
(
y
,
y
,
n
)
if
y
.
cmp
(
nm1
)
==
0
{
...
...
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