Commit 5ebd8df9 authored by Liam Healy's avatar Liam Healy
Browse files

Tests for gamma special function

The special function test for gamma from GSL are in place, and 32
fail, some by a substantial amount.  Some are commented out.
parent 3affbf30
;; Additional methods for lisp-unit
;; Liam Healy 2009-04-15 23:23:30EDT augment.lisp
;; Time-stamp: <2010-05-27 17:35:17EDT augment.lisp>
;; Time-stamp: <2010-05-27 19:21:42EDT augment.lisp>
;;
;; Copyright 2009 Liam M. Healy
;; Distributed under the terms of the GNU General Public License
......@@ -40,7 +40,7 @@
(defmacro assert-to-tolerance (form expected-value tolerance)
`(let ((lisp-unit:*epsilon* ,tolerance))
(lisp-unit::assert-numerical-equal
',expected-value
,expected-value
,(if (listp expected-value)
`(subseq (multiple-value-list ,form)
0 ,(length (eval expected-value)))
......
......@@ -20,7 +20,7 @@
(LISP-UNIT:DEFINE-TEST GAMMA
;; Semi-automatically converted from specfunc/test_gamma.c
(ASSERT-TO-TOLERANCE (LOG-GAMMA -0.1d0) 2.368961332728788655d0 +TEST-TOL0+)
;(ASSERT-TO-TOLERANCE (LOG-GAMMA -0.1d0) 2.368961332728788655d0 +TEST-TOL0+)
(ASSERT-TO-TOLERANCE (LOG-GAMMA (- (/ 1.0d0 256.0d0))) 5.547444766967471595d0 +TEST-TOL0+)
(ASSERT-TO-TOLERANCE (LOG-GAMMA 1.0d-08) 18.420680738180208905d0 +TEST-TOL0+)
(ASSERT-TO-TOLERANCE (LOG-GAMMA 0.1d0) 2.252712651734205d0 +TEST-TOL0+)
......@@ -37,13 +37,13 @@
'(2.2527126517342059599d0 1.0d0) +test-tol0+)
(assert-to-tolerance (log-gamma-sign -0.1d0)
'(2.368961332728788655d0 -1.0d0) +test-tol0+)
(assert-to-tolerance (log-gamma-sign (- 1.0d0 (/ 65536.0d0)))
(assert-to-tolerance (log-gamma-sign (+ -1.0d0 (/ -65536.0d0)))
'(11.090348438090047844d0 1.0d0) +test-tol0+)
(assert-to-tolerance (log-gamma-sign (- 2.0d0 (/ 256.0d0)))
(assert-to-tolerance (log-gamma-sign (+ -2.0d0 (/ -256.0d0)))
'(4.848447725860607213d0 -1.0d0) +test-tol0+)
(assert-to-tolerance (log-gamma-sign (- 2.0d0 (/ 65536.0d0)))
(assert-to-tolerance (log-gamma-sign (+ -2.0d0 (/ -65536.0d0)))
'(10.397193628164674967d0 -1.0d0) +test-tol0+)
(assert-to-tolerance (log-gamma-sign (- 3.0d0 (/ 8.0d0)))
(assert-to-tolerance (log-gamma-sign (+ -3.0d0 (/ -8.0d0)))
'(0.15431112768404182427d0 1.0d0) +test-tol2+)
(assert-to-tolerance (log-gamma-sign -100.5d0)
'(-364.9009683094273518d0 -1.0d0) +test-tol0+)
......@@ -59,7 +59,7 @@
(ASSERT-TO-TOLERANCE (GAMMA -11.25d0) 6.027393816261931672d-08 +TEST-TOL0+)
(ASSERT-TO-TOLERANCE (GAMMA (+ (- 1.0d0) (/ 1.0d0 65536.0d0))) -65536.42280587818970d0 +TEST-TOL0+)
(ASSERT-TO-TOLERANCE (GAMMA* 1.0d-08) 3989.423555759890865d0 +TEST-TOL1+)
(ASSERT-TO-TOLERANCE (GAMMA* 1.0d-05) 126.17168469882690233d0 +TEST-TOL0+)
;(ASSERT-TO-TOLERANCE (GAMMA* 1.0d-05) 126.17168469882690233d0 +TEST-TOL0+)
(ASSERT-TO-TOLERANCE (GAMMA* 0.001d0) 12.708492464364073506d0 +TEST-TOL0+)
(ASSERT-TO-TOLERANCE (GAMMA* 1.5d0) 1.0563442442685598666d0 +TEST-TOL0+)
(ASSERT-TO-TOLERANCE (GAMMA* 3.0d0) 1.0280645179187893045d0 +TEST-TOL0+)
......@@ -71,29 +71,30 @@
(ASSERT-TO-TOLERANCE (1/GAMMA 1.0d0) 1.0d0 +TEST-TOL0+)
(ASSERT-TO-TOLERANCE (1/GAMMA 2.0d0) 1.0d0 +TEST-TOL0+)
(ASSERT-TO-TOLERANCE (1/GAMMA 3.0d0) 0.5d0 +TEST-TOL0+)
(ASSERT-TO-TOLERANCE (1/GAMMA 4.0d0) (/ 1.0d0 6.0d0) +TEST-TOL0+)
(ASSERT-TO-TOLERANCE (1/GAMMA 10.0d0) (/ 1.0d0 362880.0d0) +TEST-TOL0+)
(ASSERT-TO-TOLERANCE (1/GAMMA 4.0d0) #.(/ 1.0d0 6.0d0) +TEST-TOL0+)
(ASSERT-TO-TOLERANCE (1/GAMMA 10.0d0) #.(/ 1.0d0 362880.0d0) +TEST-TOL0+)
(ASSERT-TO-TOLERANCE (1/GAMMA 100.0d0) 1.0715102881254669232d-156 +TEST-TOL2+)
(ASSERT-TO-TOLERANCE (1/GAMMA 0.0d0) 0.0d0 +TEST-TOL0+)
(ASSERT-TO-TOLERANCE (1/GAMMA -1.0d0) 0.0d0 +TEST-TOL0+)
(ASSERT-TO-TOLERANCE (1/GAMMA -2.0d0) 0.0d0 +TEST-TOL0+)
(ASSERT-TO-TOLERANCE (1/GAMMA -3.0d0) 0.0d0 +TEST-TOL0+)
(ASSERT-TO-TOLERANCE (1/GAMMA -4.0d0) 0.0d0 +TEST-TOL0+)
(ASSERT-TO-TOLERANCE (1/GAMMA -10.5d0) (/ -2.640121820547716316d-07) +TEST-TOL2+)
(ASSERT-TO-TOLERANCE (1/GAMMA -11.25d0) (/ 6.027393816261931672d-08) +TEST-TOL1+)
(ASSERT-TO-TOLERANCE (1/GAMMA -10.5d0) #.(/ -2.640121820547716316d-07) +TEST-TOL2+)
(ASSERT-TO-TOLERANCE (1/GAMMA -11.25d0) #.(/ 6.027393816261931672d-08) +TEST-TOL1+)
(ASSERT-TO-TOLERANCE (1/GAMMA (+ (- 1.0d0) (/ 1.0d0 65536.0d0)))
(/ -65536.42280587818970d0) +TEST-TOL1+)
#.(/ -65536.42280587818970d0) +TEST-TOL1+)
#+(or)
(ASSERT-TO-TOLERANCE (LOG-GAMMA-COMPLEX #C(5.0d0 2.0d0))
'(2.7487017561338026749d0 3.0738434100497007915d0) +TEST-TOL0+)
(ASSERT-TO-TOLERANCE (LOG-GAMMA-COMPLEX #C(100.0d0 100.0d0))
'(-882.3920483010362817000d0 -2.1169293725678813270d0)
'(315.07804459949331323d0 2.0821801804113110099d0)
;; we can't set tolerances separately, so set the widest
+TEST-TOL3+)
(ASSERT-TO-TOLERANCE (LOG-GAMMA-COMPLEX #C(100.0d0 -1000.0d0))
'(-882.3920483010362817000d0 -2.1169293725678813270d0)
;; we can't set tolerances separately, so set the widest
+TEST-TOL3+)
(ASSERT-TO-TOLERANCE (LOG-GAMMA-COMPLEX #C(100.0d0 -1.0d0))
(ASSERT-TO-TOLERANCE (LOG-GAMMA-COMPLEX #C(-100.0d0 -1.0d0))
'(-365.0362469529239516000d0 -3.0393820262864361140d0)
+TEST-TOL1+)
(ASSERT-TO-TOLERANCE (TAYLOR-COEFFICIENT 10 (/ 1048576.0d0)) 1.7148961854776073928d-67
......@@ -104,7 +105,7 @@
(ASSERT-TO-TOLERANCE (TAYLOR-COEFFICIENT 10 500.0d0) 2.6911444554673721340d+20 +TEST-TOL0+)
(ASSERT-TO-TOLERANCE (TAYLOR-COEFFICIENT 100 100.0d0) 1.0715102881254669232d+42 +TEST-TOL1+)
(ASSERT-TO-TOLERANCE (TAYLOR-COEFFICIENT 1000 200.0d0) 2.6628790558154746898d-267 +TEST-TOL1+)
(ASSERT-TO-TOLERANCE (TAYLOR-COEFFICIENT 1000 500.0d0) 2.3193170139740855074d+131 +TEST-TOL1+)
;;(ASSERT-TO-TOLERANCE (TAYLOR-COEFFICIENT 1000 500.0d0) 2.3193170139740855074d+131 +TEST-TOL1+)
(ASSERT-TO-TOLERANCE (FACTORIAL 0) 1.0d0 +TEST-TOL0+)
(ASSERT-TO-TOLERANCE (FACTORIAL 1) 1.0d0 +TEST-TOL0+)
(ASSERT-TO-TOLERANCE (FACTORIAL 7) 5040.0d0 +TEST-TOL0+)
......@@ -134,56 +135,57 @@
(ASSERT-TO-TOLERANCE (CHOOSE 500 200) 5.054949849935532221d+144 +TEST-TOL5+)
(ASSERT-TO-TOLERANCE (CHOOSE 500 300) 5.054949849935532221d+144 +TEST-TOL5+)
(ASSERT-TO-TOLERANCE (LOG-POCHAMMER 5.0d0 0.0d0) 0.0d0 +TEST-TOL0+)
(ASSERT-TO-TOLERANCE (LOG-POCHAMMER 5.0d0 (/ 65536.0d0)) 0.000022981557571259389129d0 +TEST-TOL0+)
;;(ASSERT-TO-TOLERANCE (LOG-POCHAMMER 5.0d0 (/ 65536.0d0)) 0.000022981557571259389129d0 +TEST-TOL0+)
(ASSERT-TO-TOLERANCE (LOG-POCHAMMER 5.0d0 (/ 256.0d0)) 0.005884960217985189004d0 +TEST-TOL2+)
(ASSERT-TO-TOLERANCE (LOG-POCHAMMER 7.0d0 3.0d0) 6.222576268071368616d0 +TEST-TOL0+)
(ASSERT-TO-TOLERANCE (LOG-POCHAMMER 5.0d0 2.0d0) 3.401197381662155375d0 +TEST-TOL0+)
(assert-to-tolerance (log-pochammer-sign 5.0d0 0.0d0) (0.0d0 1.0d0) +test-tol1+)
(assert-to-tolerance (log-pochammer-sign 5.0d0 0.0d0) '(0.0d0 1.0d0) +test-tol1+)
(assert-to-tolerance (log-pochammer-sign -4.5d0 0.25d0)
(0.7430116475119920117d0 1.0d0) +test-tol1+)
'(0.7430116475119920117d0 1.0d0) +test-tol1+)
(assert-to-tolerance (log-pochammer-sign -4.5d0 1.25d0)
(2.1899306304483174731d0 -1.0d0) +test-tol1+)
'(2.1899306304483174731d0 -1.0d0) +test-tol1+)
(ASSERT-TO-TOLERANCE (POCHAMMER 5.0d0 0.0d0) 1.0d0 +TEST-TOL0+)
(ASSERT-TO-TOLERANCE (POCHAMMER 7.0d0 3.0d0) 504.0d0 +TEST-TOL0+)
(ASSERT-TO-TOLERANCE (POCHAMMER 5.0d0 2.0d0) 30.0d0 +TEST-TOL1+)
(ASSERT-TO-TOLERANCE (POCHAMMER 5.0d0 (/ 256.0d0)) 1.0059023106151364982d0 +TEST-TOL0+)
(ASSERT-TO-TOLERANCE (RELATIVE-POCHAMMER 5.0d0 0.0d0) 1.506117668431800472d0 +TEST-TOL1+)
(ASSERT-TO-TOLERANCE (RELATIVE-POCHAMMER 7.0d0 3.0d0) (/ 503.0d0 3.0d0) +TEST-TOL0+)
(ASSERT-TO-TOLERANCE (RELATIVE-POCHAMMER 5.0d0 2.0d0) (/ 29.0d0 2.0d0) +TEST-TOL1+)
(ASSERT-TO-TOLERANCE (RELATIVE-POCHAMMER 7.0d0 3.0d0) #.(/ 503.0d0 3.0d0) +TEST-TOL0+)
(ASSERT-TO-TOLERANCE (RELATIVE-POCHAMMER 5.0d0 2.0d0) #.(/ 29.0d0 2.0d0) +TEST-TOL1+)
(ASSERT-TO-TOLERANCE (RELATIVE-POCHAMMER 5.0d0 0.01d0) 1.5186393661368275330d0 +TEST-TOL2+)
(ASSERT-TO-TOLERANCE (RELATIVE-POCHAMMER -5.5d0 0.01d0) 1.8584945633829063516d0 +TEST-TOL1+)
(ASSERT-TO-TOLERANCE (RELATIVE-POCHAMMER -5.5d0 (/ -8.0d0)) 1.0883319303552135488d0 +TEST-TOL1+)
(ASSERT-TO-TOLERANCE (RELATIVE-POCHAMMER -5.5d0 (/ -256.0d0)) 1.7678268037726177453d0
+TEST-TOL1+)
(ASSERT-TO-TOLERANCE (RELATIVE-POCHAMMER -5.5d0 -11.0d0) 0.09090909090939652475d0 +TEST-TOL0+)
(ASSERT-TO-TOLERANCE (POCHAMMER -9.0d0 -4.0d0) (/ 17160.0d0) +test-tol0+)
(ASSERT-TO-TOLERANCE (POCHAMMER -9.0d0 -3.0d0) (/ -1320.0d0) +test-tol0+)
(ASSERT-TO-TOLERANCE (POCHAMMER -9.0d0 -3.5d0) 0 +TEST-TOL0+)
(ASSERT-TO-TOLERANCE (POCHAMMER -9.0d0 4.0d0) 3024.0d0 +TEST-TOL0+)
(ASSERT-TO-TOLERANCE (POCHAMMER -9.0d0 3.0d0) -504.0d0 +TEST-TOL0+)
(ASSERT-TO-TOLERANCE (POCHAMMER -9.0d0 3.5d0) 0.0d0 +TEST-TOL0+)
;(ASSERT-TO-TOLERANCE (POCHAMMER -9.0d0 -4.0d0) #.(/ 17160.0d0) +test-tol0+)
;(ASSERT-TO-TOLERANCE (POCHAMMER -9.0d0 -3.0d0) #.(/ -1320.0d0) +test-tol0+)
;(ASSERT-TO-TOLERANCE (POCHAMMER -9.0d0 -3.5d0) 0 +TEST-TOL0+)
;(ASSERT-TO-TOLERANCE (POCHAMMER -9.0d0 4.0d0) 3024.0d0 +TEST-TOL0+)
;(ASSERT-TO-TOLERANCE (POCHAMMER -9.0d0 3.0d0) -504.0d0 +TEST-TOL0+)
;(ASSERT-TO-TOLERANCE (POCHAMMER -9.0d0 3.5d0) 0.0d0 +TEST-TOL0+)
(ASSERT-TO-TOLERANCE (POCHAMMER -9.0d0 0.0d0) 1.0d0 +TEST-TOL0+)
(ASSERT-TO-TOLERANCE (POCHAMMER -8.0d0 -4.0d0) (/ 11880.0d0) +test-tol0+)
(ASSERT-TO-TOLERANCE (POCHAMMER -8.0d0 -3.0d0) (/ -990.0d0) +test-tol0+)
(ASSERT-TO-TOLERANCE (POCHAMMER -8.0d0 +4.0d0) 1680.0d0 +TEST-TOL0+)
(ASSERT-TO-TOLERANCE (POCHAMMER -8.0d0 +3.0d0) -336.0d0 +TEST-TOL0+)
(ASSERT-TO-TOLERANCE (POCHAMMER -3.0d0 +4.0d0) 0.0d0 +TEST-TOL0+)
(ASSERT-TO-TOLERANCE (POCHAMMER -3.0d0 +3.0d0) -6.0d0 +TEST-TOL2+)
(ASSERT-TO-TOLERANCE (POCHAMMER -4.0d0 +4.0d0) 24.0d0 +TEST-TOL2+)
(ASSERT-TO-TOLERANCE (POCHAMMER -3.0d0 +100.0d0) 0.0d0 +TEST-TOL0+)
;(ASSERT-TO-TOLERANCE (POCHAMMER -8.0d0 -4.0d0) #.(/ 11880.0d0) +test-tol0+)
;(ASSERT-TO-TOLERANCE (POCHAMMER -8.0d0 -3.0d0) #.(/ -990.0d0) +test-tol0+)
;(ASSERT-TO-TOLERANCE (POCHAMMER -8.0d0 +4.0d0) 1680.0d0 +TEST-TOL0+)
;(ASSERT-TO-TOLERANCE (POCHAMMER -8.0d0 +3.0d0) -336.0d0 +TEST-TOL0+)
; input domain error?
;(ASSERT-TO-TOLERANCE (POCHAMMER -3.0d0 +4.0d0) 0.0d0 +TEST-TOL0+)
;(ASSERT-TO-TOLERANCE (POCHAMMER -3.0d0 +3.0d0) -6.0d0 +TEST-TOL2+)
;(ASSERT-TO-TOLERANCE (POCHAMMER -4.0d0 +4.0d0) 24.0d0 +TEST-TOL2+)
;(ASSERT-TO-TOLERANCE (POCHAMMER -3.0d0 +100.0d0) 0.0d0 +TEST-TOL0+)
(ASSERT-TO-TOLERANCE (COMPLEMENTARY-INCOMPLETE-GAMMA 1.0d-100 0.001d0) 1.0d0 +TEST-TOL0+)
(ASSERT-TO-TOLERANCE (COMPLEMENTARY-INCOMPLETE-GAMMA 0.001d0 0.001d0) 0.9936876467088602902d0
+TEST-TOL0+)
(ASSERT-TO-TOLERANCE (COMPLEMENTARY-INCOMPLETE-GAMMA 0.001d0 1.0d0) 0.9997803916424144436d0
+TEST-TOL0+)
#+(or)
(ASSERT-TO-TOLERANCE (COMPLEMENTARY-INCOMPLETE-GAMMA 0.001d0 10.0d0) 0.9999999958306921828d0
+TEST-TOL0+)
(ASSERT-TO-TOLERANCE (COMPLEMENTARY-INCOMPLETE-GAMMA 1.0d0 0.001d0) 0.0009995001666250083319d0
+TEST-TOL0+)
(ASSERT-TO-TOLERANCE (COMPLEMENTARY-INCOMPLETE-GAMMA 1.0d0 1.01d0) 0.6357810204284766802d0
+TEST-TOL0+)
#+(or)
(ASSERT-TO-TOLERANCE (COMPLEMENTARY-INCOMPLETE-GAMMA 1.0d0 10.0d0) 0.9999546000702375151d0
+TEST-TOL0+)
(ASSERT-TO-TOLERANCE (COMPLEMENTARY-INCOMPLETE-GAMMA 10.0d0 10.01d0) 0.5433207586693410570d0
......@@ -199,6 +201,7 @@
0.3898035054195570860969333039d0 +TEST-TOL2+)
(ASSERT-TO-TOLERANCE (COMPLEMENTARY-INCOMPLETE-GAMMA 10.0d0 1.0d-16) 2.755731922398588814734648067d-167
+TEST-TOL2+)
#+(or)
(ASSERT-TO-TOLERANCE (COMPLEMENTARY-INCOMPLETE-GAMMA 1263131.0d0 1261282.3637d0)
0.04994777516935182963821362168d0 +TEST-TOL4+)
(ASSERT-TO-TOLERANCE (COMPLEMENTARY-INCOMPLETE-GAMMA 1263131.0d0 1263131.0d0)
......@@ -239,11 +242,11 @@
+TEST-TOL0+)
(ASSERT-TO-TOLERANCE (NONNORMALIZED-INCOMPLETE-GAMMA -0.0001d0 0.001d0) 6.3338276439767189385d0
+TEST-TOL0+)
(ASSERT-TO-TOLERANCE (NONNORMALIZED-INCOMPLETE-GAMMA -0.001d0 0.001d0) 6.3544709102510843793d0
+TEST-TOL0+)
(ASSERT-TO-TOLERANCE (NONNORMALIZED-INCOMPLETE-GAMMA -0.5d0 0.001d0) 59.763880515942196981d0
+TEST-TOL0+)
#+(or)
(ASSERT-TO-TOLERANCE (NONNORMALIZED-INCOMPLETE-GAMMA -1.0d0 0.001d0) 992.66896046923884234d0
+TEST-TOL0+)
(ASSERT-TO-TOLERANCE (NONNORMALIZED-INCOMPLETE-GAMMA -3.5d0 0.001d0) 9.0224404490639003706d+09
......@@ -338,7 +341,7 @@
(ASSERT-TO-TOLERANCE (BETA 100.1d0 -1.2d0) 1203.895236907821059270698160d0 +TEST-TOL2+)
(ASSERT-TO-TOLERANCE (BETA -100.1d0 -1.2d0) -3236.073671884748847700283841d0 +TEST-TOL2+)
(ASSERT-TO-TOLERANCE (BETA -100.001d0 0.0099d0) -853.946649365611147996495177d0 +TEST-TOL4+)
(ASSERT-TO-TOLERANCE (BETA 1.0d-32 1.5d0) 1.e32 +TEST-TOL2+)
(ASSERT-TO-TOLERANCE (BETA 1.0d-32 1.5d0) 1.0d32 +TEST-TOL2+)
(ASSERT-TO-TOLERANCE (BETA 1.0d-6 0.5d0) 1000001.386293677092419390336d0 +TEST-TOL2+)
(ASSERT-TO-TOLERANCE (BETA -1.5d0 0.5d0) 0.0d0 +TEST-TOL0+)
(ASSERT-TO-TOLERANCE (INCOMPLETE-BETA 1.0d0 1.0d0 0.0d0) 0.0d0 +TEST-TOL2+)
......@@ -369,4 +372,5 @@
(ASSERT-TO-TOLERANCE (INCOMPLETE-BETA -0.1d0 -0.2d0 0.0d0) 0.0d0 +TEST-TOL2+)
(ASSERT-TO-TOLERANCE (INCOMPLETE-BETA -0.2d0 -0.1d0 0.0d0) 0.0d0 +TEST-TOL2+)
(ASSERT-TO-TOLERANCE (INCOMPLETE-BETA -0.1d0 -0.2d0 0.3d0) 0.7469186777964287252d0 +TEST-TOL2+)
(ASSERT-TO-TOLERANCE (INCOMPLETE-BETA -0.2d0 -0.1d0 0.3d0) 0.3995299653262016818d0 +TEST-TOL2+))
(ASSERT-TO-TOLERANCE (INCOMPLETE-BETA -0.2d0 -0.1d0 0.3d0) 0.3995299653262016818d0 +TEST-TOL2+)
)
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