unittests.lisp

   1 ;;; -*- mode: lisp -*-
   2 ;;; Copyright (c) 2007, by A.J. Rossini <blindglobe@gmail.com>
   3 ;;; See COPYRIGHT file for any additional restrictions (BSD license).
   4 ;;; Since 1991, ANSI was finally finished.  Edited for ANSI Common Lisp.
   5
   6 ;;; This is semi-external to lispstat core packages.  The dependency
   7 ;;; should be that lispstat packages are dependencies for the unit
   8 ;;; tests.  However, where they will end up is still to be
   9 ;;; determined.
  10
  11 (in-package :cl-user)
  12
  13 (defpackage :lisp-stat-unittests
  14   (:use :common-lisp :lift :lisp-stat)
  15   (:shadowing-import-from :lisp-stat
  16         slot-value call-method call-next-method ;; objects
  17         expt + - * / ** mod rem abs 1+ 1- log exp sqrt sin cos tan ;; lsmath
  18         asin acos atan sinh cosh tanh asinh acosh atanh float random
  19         truncate floor ceiling round minusp zerop plusp evenp oddp
  20         < <= = /= >= > complex conjugate realpart imagpart phase
  21         min max logand logior logxor lognot ffloor fceiling
  22         ftruncate fround signum cis)
  23   (:export run-lisp-stat-tests run-lisp-stat-test scoreboard))
  24
  25 (in-package :lisp-stat-unittests)
  26
  27 ;;; TESTS
  28
  29 ;;; Need a waz to minimize the possibilities
  30
  31 (defun run-lisp-stat-tests ()
  32   (run-tests :suite 'lisp-stat))
  33
  34 (defun run-lisp-stat-test (&rest x)
  35   (run-test x))
  36
  37
  38
  39 (deftestsuite lisp-stat () ())
  40 (deftestsuite lisp-stat-lin-alg (lisp-stat) ())
  41
  42
  43 ;;; and add a test to it
  44 (addtest (lisp-stat)
  45   (ensure-same (+ 1 1) 2))
  46 ;; => #<Test passed>
  47
  48 ;;; add another test using ensure-error
  49 (addtest (lisp-stat-lin-alg)
  50   (ensure-error (let ((x 0)) (/ x))))
  51 ;; => #<Test passed>
  52
  53
  54 ;;; add another, slightly more specific test
  55 (addtest (lisp-stat)
  56   (ensure-condition division-by-zero (let ((x 0)) (/ x))))
  57 ;; => #<Test passed>
  58
  59
  60 (addtest (lisp-stat-lin-alg) cholesky-decomposition
  61          (ensure-same
  62           (chol-decomp  #2A((2 3 4) (1 2 4) (2 4 5)))
  63           (values #2A((1.7888543819998317 0.0 0.0)
  64                       (1.6770509831248424 0.11180339887498929 0.0)
  65                       (2.23606797749979 2.23606797749979 3.332000937312528e-8))
  66                   5.000000000000003)))
  67
  68 #+nil(progn
  69
  70
  71
  72 (addtest (lisp-stat-lin-alg)
  73   lu-decomposition
  74   (ensure-same
  75    (lu-decomp  #2A((2 3 4) (1 2 4) (2 4 5)))
  76    (#2A((2.0 3.0 4.0) (1.0 1.0 1.0) (0.5 0.5 1.5)) #(0 2 2) -1.0 NIL)))
  77
  78 (addtest (lisp-stat-lin-alg)
  79   lu-solve
  80   (ensure-same
  81    (lu-solve
  82     (lu-decomp
  83      #2A((2 3 4) (1 2 4) (2 4 5)))
  84     #(2 3 4))
  85    #(-2.333333333333333 1.3333333333333335 0.6666666666666666)))
  86
  87
  88 (addtest (lisp-stat-lin-alg)
  89   inverse
  90   (ensure-same
  91    (inverse #2A((2 3 4) (1 2 4) (2 4 5)))
  92    #2A((2.0 -0.33333333333333326 -1.3333333333333335)
  93        (-1.0 -0.6666666666666666 1.3333333333333333)
  94        (0.0 0.6666666666666666 -0.3333333333333333))))
  95
  96 (addtest (lisp-stat-lin-alg)
  97   sv-decomp
  98   (ensure-same
  99    (sv-decomp  #2A((2 3 4) (1 2 4) (2 4 5)))
 100    (#2A((-0.5536537653489974 0.34181191712789266 -0.7593629708013371)
 101         (-0.4653437312661058 -0.8832095891230851 -0.05827549615722014)
 102         (-0.6905959164998124 0.3211003503429828 0.6480523475178517))
 103        #(9.699290438141343 0.8971681569301373 0.3447525123483081)
 104        #2A((-0.30454218417339873 0.49334669582252344 -0.8147779426198863)
 105            (-0.5520024849987308 0.6057035911404464 0.5730762743603965)
 106            (-0.7762392122368734 -0.6242853493399995 -0.08786630745236332))
 107        T)))
 108
 109 (addtest (lisp-stat-lin-alg)
 110   qr-decomp
 111   (ensure-same
 112    (qr-decomp  #2A((2 3 4) (1 2 4) (2 4 5)))
 113    (#2A((-0.6666666666666665 0.7453559924999298 5.551115123125783e-17)
 114         (-0.3333333333333333 -0.2981423969999719 -0.894427190999916)
 115         (-0.6666666666666666 -0.5962847939999439 0.44721359549995787))
 116        #2A((-3.0 -5.333333333333334 -7.333333333333332)
 117            (0.0 -0.7453559924999292 -1.1925695879998877)
 118            (0.0 0.0 -1.3416407864998738))) ))
 119
 120 (addtest (lisp-stat-lin-alg)
 121   rcondest
 122   (ensure-same
 123    (rcondest #2A((2 3 4) (1 2 4) (2 4 5)))
 124    6.8157451e7 ))
 125
 126 (addtest (lisp-stat-lin-alg)
 127   eigen
 128   (ensure-same
 129    (eigen #2A((2 3 4) (1 2 4) (2 4 5)))
 130    (#(10.656854249492381 -0.6568542494923802 -0.9999999999999996)
 131      (#(0.4999999999999998 0.4999999999999997 0.7071067811865475)
 132        #(-0.49999999999999856 -0.5000000000000011 0.7071067811865474)
 133        #(0.7071067811865483 -0.7071067811865466 -1.2560739669470215e-15))
 134      NIL) ))
 135
 136 (addtest (lisp-stat-lin-alg)
 137   spline
 138   (ensure-same
 139    (spline
 140     #(1.0 1.2 1.3 1.8 2.1 2.5)
 141     #(1.2 2.0 2.1 2.0 1.1 2.8)
 142     :xvals 6)
 143    ((1.0 1.3 1.6 1.9 2.2 2.5)
 144     (1.2 2.1 2.2750696543866313 1.6465231041904045 1.2186576148879609 2.8))))
 145
 146
 147 (addtest (lisp-stat-lin-alg)
 148   kernel-smooth
 149   (ensure-same
 150    ;; using KERNEL-SMOOTH-FRONT, not KERNEL-SMOOTH-CPORT
 151    (kernel-smooth
 152     #(1.0 1.2 1.3 1.8 2.1 2.5)
 153     #(1.2 2.0 2.1 2.0 1.1 2.8)
 154     :xvals 5)
 155    ((1.0 1.375 1.75 2.125 2.5)
 156            (1.6603277642110226 1.9471748095239771 1.7938127405752287
 157                                1.5871511322219498 2.518194783156392))))
 158
 159 (addtest (lisp-stat-lin-alg)
 160   kernel-dens
 161   (ensure-same
 162    (kernel-dens
 163     #(1.0 1.2 2.5 2.1 1.8 1.2)
 164     :xvals 5)
 165    ((1.0 1.375 1.75 2.125 2.5)
 166     (0.7224150453621405 0.5820045548233707 0.38216411702854214
 167                         0.4829822708587095 0.3485939156929503)) ))
 168
 169 (addtest (lisp-stat-lin-alg)
 170   fft
 171   (ensure-same
 172    (fft #(1.0 1.2 2.5 2.1 1.8))
 173    #(#C(1.0 0.0) #C(1.2 0.0) #C(2.5 0.0) #C(2.1 0.0) #C(1.8 0.0)) ))
 174
 175 (addtest (lisp-stat-lin-alg)
 176   lowess
 177   (ensure-same
 178    (lisp-stat-descriptive-statistics:lowess
 179     #(1.0 1.2 2.5 2.1 1.8 1.2)
 180     #(1.2 2.0 2.1 2.0 1.1 2.8))
 181    (#(1.0 1.2 1.2 1.8 2.1 2.5))))
 182
 183
 184 (deftestsuite lisp-stat-spec-fns () ())
 185
 186 ;;;; Log-gamma function
 187
 188 (addtest (lisp-stat-spec-fns)
 189          (ensure-same
 190           (lisp-stat-basics:log-gamma 3.4)
 191           1.0923280596789584))
 192
 193
 194 ;;; Probability distributions
 195
 196 ;; This macro should be generalized, but it's a good start now.
 197 (defmacro ProbDistnTests (prefixName
 198                           quant-params quant-answer
 199                           cdf-params cdf-answer
 200                           pmf-params pmf-answer
 201                           rand-params rand-answer)
 202
 203   (deftestsuite lisp-stat-probdist-,prefixName (lisp-stat-probdistn)
 204     ;;  ((  ))
 205     (:documentation "testing for ,testName distribution results")
 206     (:test (ensure-same
 207             (lisp-stat-basics:,testName-quant ,quant-params) ,quant-answer))
 208     (:test (ensure-same
 209             (lisp-stat-basics:,testName-cdf ,cdf-params) ,cdf-answer))
 210     (:test (ensure-same
 211             (lisp-stat-basics:,testName-pmf ,pmf-params) ,pmf-answer))
 212     (:test (progn
 213              (set-seed 234)
 214              (ensure-same
 215               (lisp-stat-basics:,testName-rand ,rand-params) ,rand-answer)))))
 216
 217 ;;; Normal distribution
 218
 219 (deftestsuite lisp-stat-probdist-f (lisp-stat-probdistn)
 220   (:documentation "testing for Gaussian distn results")
 221   (:test (ensure-same
 222           (lisp-stat-basics:normal-quant 0.95)
 223           1.6448536279366268))
 224   (:test (ensure-same
 225           (lisp-stat-basics:normal-cdf 1.3)
 226           0.9031995154143897))
 227   (:test (ensure-same
 228           (lisp-stat-basics:normal-dens 1.3)
 229           0.17136859204780736))
 230   (:test (ensure-same
 231           (lisp-stat-basics:normal-rand 2)
 232           (-0.40502015f0 -0.8091404f0)))
 233   (:test (ensure-same
 234           (lisp-stat-basics:bivnorm-cdf 0.2 0.4 0.6)
 235           0.4736873734160288)))
 236
 237 ;;;; Cauchy distribution
 238
 239 (deftestsuite lisp-stat-probdist-cauchy (lisp-stat-probdistn)
 240   (:documentation "testing for Cachy-distn results")
 241   (:test (ensure-same
 242           (lisp-stat-basics:cauchy-quant 0.95)
 243           6.313751514675031))
 244   (:test (ensure-same
 245           (lisp-stat-basics:cauchy-cdf 1.3)
 246           0.7912855998398473))
 247   (:test (ensure-same
 248           (lisp-stat-basics:cauchy-dens 1.3)
 249           0.1183308127104695 ))
 250   (:test (ensure-same
 251           (lisp-stat-basics:cauchy-rand 2)
 252           (-1.06224644160405 -0.4524695943939537))))
 253
 254 ;;;; Gamma distribution
 255
 256 (deftestsuite lisp-stat-probdist-gamma (lisp-stat-probdistn)
 257   (:documentation "testing for gamma distn results")
 258   (:test (ensure-same
 259           (lisp-stat-basics:gamma-quant 0.95 4.3)
 260           8.178692439291645))
 261   (:test (ensure-same
 262           (lisp-stat-basics:gamma-cdf 1.3 4.3)
 263           0.028895150986674906))
 264   (:test (ensure-same
 265           (lisp-stat-basics:gamma-dens 1.3 4.3)
 266           0.0731517686447374))
 267   (:test (ensure-same
 268           (lisp-stat-basics:gamma-rand 2 4.3)
 269           (2.454918912880936 4.081365384357454))))
 270
 271 ;;;; Chi-square distribution
 272
 273 (deftestsuite lisp-stat-probdist-chisq (lisp-stat-probdistn)
 274   ()
 275   (:documentation "testing for Chi-square distn results")
 276   (:test (ensure-same
 277           (lisp-stat-basics:chisq-quant 0.95 3)
 278           7.814727903379012))
 279   (:test (ensure-same
 280           (lisp-stat-basics:chisq-cdf 1 5)
 281           0.03743422675631789))
 282   (:test (ensure-same
 283           (lisp-stat-basics:chisq-dens 1 5)
 284           0.08065690818083521))
 285   (:test (progn
 286            (set-seed 353)
 287            (ensure-same
 288             (lisp-stat-basics:chisq-rand 2 4)
 289             (1.968535826180572 2.9988646156942997)))))
 290
 291 ;;;; Beta distribution
 292
 293 (deftestsuite lisp-stat-probdist-beta (lisp-stat-probdistn)
 294   ()
 295   (:documentation "testing for beta distn results")
 296   (:test (ensure-same
 297           (lisp-stat-basics:beta-quant 0.95 3 2)
 298           0.9023885371149876))
 299   (:test (ensure-same
 300           (lisp-stat-basics:beta-cdf 0.4 2 2.4)
 301           0.4247997418541529 ))
 302   (:test (ensure-same
 303           (lisp-stat-basics:beta-dens 0.4 2 2.4)
 304           1.5964741858913518 ))
 305   (:test (ensure-same
 306           (lisp-stat-basics:beta-rand 2 2 2.4)
 307           (0.8014897077282279 0.6516371997922659))))
 308
 309 ;;;; t distribution
 310
 311 (deftestsuite lisp-stat-probdist-t (lisp-stat-probdistn)
 312   (:documentation "testing for t-distn results")
 313   (:test (ensure-same
 314           (lisp-stat-basics:t-quant 0.95 3)
 315           2.35336343484194))
 316   (:test (ensure-same
 317           (lisp-stat-basics:t-cdf 1 2.3)
 318           0.794733624298342))
 319   (:test (ensure-same
 320           (lisp-stat-basics:t-dens 1 2.3)
 321           0.1978163816318102))
 322   (:test (ensure-same
 323           (lisp-stat-basics:t-rand 2 2.3)
 324           (-0.34303672776089306 -1.142505872436518))))
 325
 326 ;;;; F distribution
 327
 328 (deftestsuite lisp-stat-probdist-f (lisp-stat-probdistn)
 329   (:documentation "testing for f-distn results")
 330   (:test (ensure-same
 331           (lisp-stat-basics:f-quant 0.95 3 5) 5.409451318117459))
 332   (:test (ensure-same
 333           (lisp-stat-basics:f-cdf 1 3.2 5.4)
 334           0.5347130905510765))
 335   (:test (ensure-same
 336           (lisp-stat-basics:f-dens 1 3.2 5.4)
 337           0.37551128864591415))
 338   (:test (progn
 339            (set-seed 234)
 340            (ensure-same
 341             (lisp-stat-basics:f-rand 2 3 2)
 342             (0.7939093442091963 0.07442694152491144)))))
 343
 344 ;;;; Poisson distribution
 345
 346 (deftestsuite lisp-stat-probdist-poisson (lisp-stat-probdistn)
 347 ;;  ((  ))
 348   (:documentation "testing for poisson distribution results")
 349   (:test (ensure-same
 350           (lisp-stat-basics:poisson-quant 0.95 3.2) 6))
 351   (:test (ensure-same
 352           (lisp-stat-basics:poisson-cdf 1 3.2)
 353           0.17120125672252395))
 354   (:test (ensure-same
 355           (lisp-stat-basics:poisson-pmf 1 3.2)
 356           0.13043905274097067))
 357   (:test (progn
 358            (set-seed 234)
 359            (ensure-same
 360             (lisp-stat-basics:poisson-rand 5 3.2)
 361             (list 2 1 2 0 3)))))
 362
 363 ;; Binomial distribution
 364
 365 (deftestsuite lisp-stat-probdist-binomial (lisp-stat-probdistn)
 366 ;;  ((  ))
 367   (:documentation "testing for binomial distribution results")
 368   (:test (ensure-same
 369           (lisp-stat-basics:binomial-quant 0.95 3 0.4) ;;; DOESN'T RETURN
 370           ))
 371   (:test (ensure-same
 372           (lisp-stat-basics:binomial-quant 0 3 0.4)
 373           ;; -2147483648
 374           ))
 375   (:test (ensure-same
 376           (lisp-stat-basics:binomial-cdf 1 3 0.4)
 377           0.6479999999965776))
 378
 379   (:test (ensure-same
 380           (lisp-stat-basics:binomial-pmf 1 3 0.4)
 381           0.4320000000226171))
 382   (:test (progn
 383            (set-seed 526)
 384            (ensure-same
 385             (lisp-stat-basics:binomial-rand 5 3 0.4)
 386             (list 2 2 0 1 2)))))
 387
 388
 389 ;;; External support for running tests
 390
 391
 392 )