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cmucl
cmucl
Commits
2e3e48d4
Commit
2e3e48d4
authored
Dec 20, 2013
by
Raymond Toy
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Add tests for double-double trig functions.
parent
949acab5
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src/tests/trig.lisp
src/tests/trig.lisp
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src/tests/trig.lisp
View file @
2e3e48d4
...
...
@@ -215,3 +215,176 @@
(
assert-eql
nil
(
sincos-test
(
scale-float
1d0
1023
)
1000
)))
;; Compute the relative error between actual and expected if expected
;; is not zero. Otherwise, return absolute error between actual and
;; expected. If the error is less than the threshold, return T.
;; Otherwise return the actual (relative or absolute) error.
(
defun
rel-or-abs-error
(
actual
expected
&optional
(
threshold
double-float-epsilon
))
(
let
((
err
(
if
(
zerop
expected
)
(
abs
(
-
actual
expected
))
(
/
(
abs
(
-
actual
expected
))
(
abs
expected
)))))
(
if
(
<=
err
threshold
)
t
err
)))
(
define-test
dd-sin.signed-zeroes
"Test sin for 0w0 and -0w0"
(
:tag
:sin
:double-double
:signed-zeroes
)
(
assert-eql
0w0
(
sin
0w0
))
(
assert-equal
-0w0
(
sin
-0w0
)))
(
define-test
dd-sin.no-reduction
"Test sin for small args without reduction"
(
:tag
:sin
:double-double
)
(
assert-eq
t
(
rel-or-abs-error
(
sin
.
5w0
)
4.794255386042030002732879352155713880818033679406006751886166131w-1
1w-32
))
(
assert-eq
t
(
rel-or-abs-error
(
sin
-0.5w0
)
-4.794255386042030002732879352155713880818033679406006751886166131w-1
1w-32
)))
(
define-test
dd-sin.pi/2
"Test for arg near pi/2"
(
:tag
:sin
:double-double
)
(
assert-eq
t
(
rel-or-abs-error
(
sin
(
/
kernel:dd-pi
2
))
1w0
1w-50
)))
;; The reference value were computed using maxima. Here's how to
;; compute the reference value. Set fpprec:64 to tell maxima to use
;; 64 digits of precision. For 7/4*pi, do (integer-decode-float (* 7/4
;; kernel:dd-pi)) to get the exact rational representation of the
;; desired double-double-float. Then bfloat(sin(<rational>)).
(
define-test
dd-sin.arg-reduction
"Test for sin with arg reduction"
(
:tag
:sin
:double-double
)
;; Test for argument reduction with n mod 4 = 0
(
assert-eq
t
(
rel-or-abs-error
(
sin
(
*
7/4
kernel:dd-pi
))
-7.07106781186547524400844362104849691328261037289050238659653433w-1
0w0
))
;; Test for argument reduction with n mod 4 = 1
(
assert-eq
t
(
rel-or-abs-error
(
sin
(
*
9/4
kernel:dd-pi
))
7.07106781186547524400844362104858161816423215627023442400880643w-1
0w0
))
;; Test for argument reduction with n mod 4 = 2
(
assert-eq
t
(
rel-or-abs-error
(
sin
(
*
11/4
kernel:dd-pi
))
7.071067811865475244008443621048998682901731241858306822215522497w-1
8.716w-33
))
;; Test for argument reduction with n mod 4 = 3
(
assert-eq
t
(
rel-or-abs-error
(
sin
(
*
13/4
kernel:dd-pi
))
-7.071067811865475244008443621048777109664479707052746581685893187w-1
8.716w-33
))
;; Test for argument reduction, big value
(
assert-eq
t
(
rel-or-abs-error
(
sin
(
scale-float
1w0
120
))
3.778201093607520226555484700569229919605866976512306642257987199w-1
8.156w-33
)))
(
define-test
dd-cos.signed-zeroes
"Test cos for 0w0 and -0w0"
(
:tag
:cos
:double-double
:signed-zeroes
)
(
assert-eql
1w0
(
cos
0w0
))
(
assert-equal
1w0
(
cos
-0w0
)))
(
define-test
dd-cos.no-reduction
"Test cos for small args without reduction"
(
:tag
:cos
:double-double
)
(
assert-eq
t
(
rel-or-abs-error
(
cos
.
5w0
)
8.775825618903727161162815826038296519916451971097440529976108683w-1
0w0
))
(
assert-eq
t
(
rel-or-abs-error
(
cos
-0.5w0
)
8.775825618903727161162815826038296519916451971097440529976108683w-1
0w0
)))
(
define-test
dd-cos.pi/2
"Test for arg near pi/2"
(
:tag
:cos
:double-double
)
(
assert-eq
t
(
rel-or-abs-error
(
cos
(
/
kernel:dd-pi
2
))
-1.497384904859169777320797133937725094986669701841027904483071358w-33
0w0
)))
(
define-test
dd-cos.arg-reduction
"Test for cos with arg reduction"
(
:tag
:cos
:double-double
)
;; Test for argument reduction with n mod 4 = 0
(
assert-eq
t
(
rel-or-abs-error
(
cos
(
*
7/4
kernel:dd-pi
))
7.07106781186547524400844362104849691328261037289050238659653433w-1
0w0
))
;; Test for argument reduction with n mod 4 = 1
(
assert-eq
t
(
rel-or-abs-error
(
cos
(
*
9/4
kernel:dd-pi
))
7.07106781186547524400844362104858161816423215627023442400880643w-1
3.487w-32
))
;; Test for argument reduction with n mod 4 = 2
(
assert-eq
t
(
rel-or-abs-error
(
cos
(
*
11/4
kernel:dd-pi
))
-7.071067811865475244008443621048998682901731241858306822215522497w-1
1.482w-31
))
;; Test for argument reduction with n mod 4 = 3
(
assert-eq
t
(
rel-or-abs-error
(
cos
(
*
13/4
kernel:dd-pi
))
-7.071067811865475244008443621048777109664479707052746581685893187w-1
7.845w-32
))
;; Test for argument reduction, big value
(
assert-eq
t
(
rel-or-abs-error
(
cos
(
scale-float
1w0
120
))
-9.258790228548378673038617641074149467308332099286564602360493726w-1
0w0
)))
(
define-test
dd-tan.signed-zeroes
"Test tan for 0w0 and -0w0"
(
:tag
:tan
:double-double
:signed-zeroes
)
(
assert-eql
0w0
(
tan
0w0
))
(
assert-equal
-0w0
(
tan
-0w0
)))
(
define-test
dd-tan.no-reduction
"Test tan for small args without reduction"
(
:tag
:tan
:double-double
)
(
assert-eq
t
(
rel-or-abs-error
(
tan
.
5w0
)
5.463024898437905132551794657802853832975517201797912461640913859w-1
0w0
))
(
assert-eq
t
(
rel-or-abs-error
(
tan
-0.5w0
)
-5.463024898437905132551794657802853832975517201797912461640913859w-1
0w0
)))
(
define-test
dd-tan.pi/2
"Test for arg near pi/2"
(
:tag
:tan
:double-double
)
(
assert-eq
t
(
rel-or-abs-error
(
tan
(
/
kernel:dd-pi
2
))
-6.67830961000672557834948096545679895621313886078988606234681001w32
0w0
)))
(
define-test
dd-tan.arg-reduction
"Test for tan with arg reduction"
(
:tag
:tan
:double-double
)
;; Test for argument reduction with n even
(
assert-eq
t
(
rel-or-abs-error
(
tan
(
*
7/4
kernel:dd-pi
))
-1.000000000000000000000000000000001844257310064121018312678894979w0
6.467w-33
))
;; Test for argument reduction with n odd
(
assert-eq
t
(
rel-or-abs-error
(
tan
(
*
9/4
kernel:dd-pi
))
1.000000000000000000000000000000025802415787810837455445433037983w0
5.773w-33
))
;; Test for argument reduction, big value
(
assert-eq
t
(
rel-or-abs-error
(
tan
(
scale-float
1w0
120
))
-4.080663888418042385451434945255951177650840227682488471558860153w-1
1.888w-33
)))
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