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Richard M Kreuter
cmucl-copy
Commits
0bd9e773
Commit
0bd9e773
authored
11 years ago
by
Raymond Toy
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Plain Diff
Add some comments and remove unneeded package qualifiers.
parent
1ae2d46c
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1 changed file
src/code/irrat.lisp
+23
-15
23 additions, 15 deletions
src/code/irrat.lisp
with
23 additions
and
15 deletions
src/code/irrat.lisp
+
23
−
15
View file @
0bd9e773
...
@@ -242,15 +242,17 @@
...
@@ -242,15 +242,17 @@
(
optimize
(
speed
3
)
(
safety
0
)))
(
optimize
(
speed
3
)
(
safety
0
)))
(
let
((
ix
(
ldb
(
byte
31
0
)
(
kernel:double-float-high-bits
x
))))
(
let
((
ix
(
ldb
(
byte
31
0
)
(
kernel:double-float-high-bits
x
))))
(
when
(
<
ix
#x3e400000
)
(
when
(
<
ix
#x3e400000
)
;; |x| < 2^-27
;; Signal inexact if x /= 0
(
if
(
zerop
(
truncate
x
))
(
if
(
zerop
(
truncate
x
))
(
return-from
kernel-sin
x
)
(
return-from
kernel-sin
x
)
(
return-from
kernel-sin
x
)))
(
return-from
kernel-sin
x
)))
(
let*
((
s1
-1.66666666666666324348d-01
)
(
let*
((
s1
-1.66666666666666324348d-01
)
; #xBFC55555 #x55555549
(
s2
8.33333333332248946124d-03
)
(
s2
8.33333333332248946124d-03
)
; #x3F811111 #x1110F8A6
(
s3
-1.98412698298579493134d-04
)
(
s3
-1.98412698298579493134d-04
)
; #xBF2A01A0 #x19C161D5
(
s4
2.75573137070700676789d-06
)
(
s4
2.75573137070700676789d-06
)
; #x3EC71DE3 #x57B1FE7D
(
s5
-2.50507602534068634195d-08
)
(
s5
-2.50507602534068634195d-08
)
; #xBE5AE5E6 #x8A2B9CEB
(
s6
1.58969099521155010221d-10
)
(
s6
1.58969099521155010221d-10
)
; #x3DE5D93A #x5ACFD57C
(
z
(
*
x
x
))
(
z
(
*
x
x
))
(
v
(
*
z
x
))
(
v
(
*
z
x
))
(
r
(
+
s2
(
r
(
+
s2
...
@@ -338,13 +340,15 @@
...
@@ -338,13 +340,15 @@
(
-
(
*
z
r
)
(
-
(
*
z
r
)
(
*
x
y
)))))
(
*
x
y
)))))
(
t
(
t
;; qx = 0.28125 if |x| > 0.78125, else x/4 dropping the
;; least significant 32 bits.
(
let*
((
qx
(
if
(
>
ix
#x3fe90000
)
(
let*
((
qx
(
if
(
>
ix
#x3fe90000
)
0.28125d0
0.28125d0
;; x/4, exactly, and also dropping the
;; x/4, exactly, and also dropping the
;; least significant 32 bits of the
;; least significant 32 bits of the
;; fraction.
(Why?)
;; fraction.
(
kernel:
make-double-float
(
-
ix
#x00200000
)
(
make-double-float
(
-
ix
#x00200000
)
0
)))
0
)))
(
hz
(
-
(
*
0.5
z
)
qx
))
(
hz
(
-
(
*
0.5
z
)
qx
))
(
a
(
-
1
qx
)))
(
a
(
-
1
qx
)))
(
-
a
(
-
hz
(
-
(
*
z
r
)
(
-
a
(
-
hz
(
-
(
*
z
r
)
...
@@ -419,7 +423,8 @@
...
@@ -419,7 +423,8 @@
(
when
(
zerop
(
truncate
x
))
(
when
(
zerop
(
truncate
x
))
(
cond
((
zerop
(
logior
(
logior
ix
(
kernel:double-float-low-bits
x
))
(
cond
((
zerop
(
logior
(
logior
ix
(
kernel:double-float-low-bits
x
))
(
+
iy
1
)))
(
+
iy
1
)))
;; x = 0 and iy = -1 (cot)
;; x = 0 (because hi and low bits are 0) and iy = -1
;; (cot)
(
return-from
kernel-tan
(
/
(
abs
x
))))
(
return-from
kernel-tan
(
/
(
abs
x
))))
((
=
iy
1
)
((
=
iy
1
)
(
return-from
kernel-tan
x
))
(
return-from
kernel-tan
x
))
...
@@ -429,10 +434,10 @@
...
@@ -429,10 +434,10 @@
(
let
((
a
0d0
)
(
let
((
a
0d0
)
(
tt
0d0
))
(
tt
0d0
))
(
setf
w
(
+
x
y
))
(
setf
w
(
+
x
y
))
(
setf
z
(
kernel:
make-double-float
(
kernel:
double-float-high-bits
w
)
0
))
(
setf
z
(
make-double-float
(
double-float-high-bits
w
)
0
))
(
setf
v
(
-
y
(
-
z
x
)))
(
setf
v
(
-
y
(
-
z
x
)))
(
setf
a
(
/
-1
w
))
(
setf
a
(
/
-1
w
))
(
setf
tt
(
kernel:
make-double-float
(
kernel:
double-float-high-bits
a
)
0
))
(
setf
tt
(
make-double-float
(
double-float-high-bits
a
)
0
))
(
setf
s
(
+
1
(
*
tt
z
)))
(
setf
s
(
+
1
(
*
tt
z
)))
(
return-from
kernel-tan
(
+
tt
(
return-from
kernel-tan
(
+
tt
(
*
a
(
+
s
(
*
tt
v
))))))))))
(
*
a
(
+
s
(
*
tt
v
))))))))))
...
@@ -441,10 +446,13 @@
...
@@ -441,10 +446,13 @@
(
when
(
minusp
hx
)
(
when
(
minusp
hx
)
(
setf
x
(
-
x
))
(
setf
x
(
-
x
))
(
setf
y
(
-
y
)))
(
setf
y
(
-
y
)))
;; The two constants below are such that pi/4 + pi/4_lo is pi/4
;; to twice the accuracy of a double float.
;;
;; z = pi/4-x
;; z = pi/4-x
(
setf
z
(
-
(
kernel:
make-double-float
#x3FE921FB
#x54442D18
)
x
))
(
setf
z
(
-
(
make-double-float
#x3FE921FB
#x54442D18
)
x
))
;; w = pi/4_lo - y
;; w = pi/4_lo - y
.
(
setf
w
(
-
(
kernel:
make-double-float
#x3C81A626
#x33145C07
)
y
))
(
setf
w
(
-
(
make-double-float
#x3C81A626
#x33145C07
)
y
))
(
setf
x
(
+
z
w
))
(
setf
x
(
+
z
w
))
(
setf
y
0d0
))
(
setf
y
0d0
))
(
setf
z
(
*
x
x
))
(
setf
z
(
*
x
x
))
...
...
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