src/unittests/unittests-arrays.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 :lisp-stat-unittests)
  12
  13 ;;; TEST for Arrays and Linear Algebra.
  14
  15 (deftestsuite lisp-stat-ut-array (lisp-stat-ut) ())
  16
  17 (addtest (lisp-stat-ut-array) cholesky-decomposition-1
  18          (ensure-same
  19           (chol-decomp  #2A((2 3 4) (1 2 4) (2 4 5)))
  20           (list #2A((1.7888543819998317 0.0 0.0)
  21                     (1.6770509831248424 0.11180339887498929 0.0)
  22                     (2.23606797749979 2.23606797749979 3.332000937312528e-8))
  23                   5.000000000000003)
  24           :test 'almost=lists))
  25
  26 (addtest (lisp-stat-ut-array) cholesky-decomposition-1
  27          (ensure-same
  28           (chol-decomp  #2A((2 3 4) (1 2 4) (2 4 5)))
  29           (list #2A((1.7888543819998317 0.0 0.0)
  30                     (1.6770509831248424 0.11180339887498929 0.0)
  31                     (2.23606797749979 2.23606797749979 3.332000937312528e-8))
  32                   5.000000000000003)
  33           :test 'almost=lists))
  34
  35 #|
  36 (addtest (lisp-stat-ut-array) cholesky-decomposition-2
  37          (ensure-same
  38           (matlisp:chol)))
  39
  40 |#
  41
  42
  43 (addtest (lisp-stat-ut-array) lu-decomposition
  44          (ensure-same
  45           (lu-decomp  #2A((2 3 4)
  46                           (1 2 4)
  47                           (2 4 5)))
  48           (list #2A((2.0 3.0 4.0) (1.0 1.0 1.0) (0.5 0.5 1.5))
  49                 #(0 2 2)
  50                 -1.0
  51                 NIL)))
  52
  53 (addtest (lisp-stat-ut-array) lu-decomposition-2
  54          (ensure-same
  55           (lu-decomp  (make-real-matrix #2A((2 3 4)
  56                                             (1 2 4)
  57                                             (2 4 5))))
  58           (list #2A((2.0 3.0 4.0) (1.0 1.0 1.0) (0.5 0.5 1.5))
  59                 #(0 2 2)
  60                 -1.0
  61                 NIL)))
  62
  63
  64
  65 (addtest (lisp-stat-ut-array) rcondest
  66          ;; (ensure-same
  67          (ensure-error  ;; it barfs,  FIXME!!
  68           (rcondest #2A((2 3 4) (1 2 4) (2 4 5)))
  69           6.8157451e7
  70           :test 'almost=))
  71
  72 (addtest (lisp-stat-ut-array) lu-solve
  73          (ensure-same
  74           (lu-solve
  75            (lu-decomp
  76             #2A((2 3 4) (1 2 4) (2 4 5)))
  77            #(2 3 4))
  78           #(-2.333333333333333 1.3333333333333335 0.6666666666666666)))
  79
  80 (addtest (lisp-stat-ut-array) inverse
  81          (ensure-same
  82           (inverse #2A((2 3 4) (1 2 4) (2 4 5)))
  83           #2A((2.0 -0.33333333333333326 -1.3333333333333335)
  84               (-1.0 -0.6666666666666666 1.3333333333333333)
  85               (0.0 0.6666666666666666 -0.3333333333333333))))
  86
  87 (addtest (lisp-stat-ut-array)  sv-decomp
  88          (ensure-same
  89           (sv-decomp  #2A((2 3 4) (1 2 4) (2 4 5)))
  90           (list #2A((-0.5536537653489974 0.34181191712789266 -0.7593629708013371)
  91                     (-0.4653437312661058 -0.8832095891230851 -0.05827549615722014)
  92                     (-0.6905959164998124 0.3211003503429828 0.6480523475178517))
  93                 #(9.699290438141343 0.8971681569301373 0.3447525123483081)
  94                 #2A((-0.30454218417339873 0.49334669582252344 -0.8147779426198863)
  95                     (-0.5520024849987308 0.6057035911404464 0.5730762743603965)
  96                     (-0.7762392122368734 -0.6242853493399995 -0.08786630745236332))
  97                 T)
  98           :test 'almost=lists))
  99
 100 (addtest (lisp-stat-ut-array) qr-decomp
 101          (ensure-same
 102           (qr-decomp  #2A((2 3 4) (1 2 4) (2 4 5)))
 103           (list #2A((-0.6666666666666665 0.7453559924999298 5.551115123125783e-17)
 104                     (-0.3333333333333333 -0.2981423969999719 -0.894427190999916)
 105                     (-0.6666666666666666 -0.5962847939999439 0.44721359549995787))
 106                 #2A((-3.0 -5.333333333333334 -7.333333333333332)
 107                     (0.0 -0.7453559924999292 -1.1925695879998877)
 108                     (0.0 0.0 -1.3416407864998738)))
 109           :test 'almost=lists))
 110
 111 (addtest (lisp-stat-ut-array) eigen
 112          (ensure-same
 113           (eigen #2A((2 3 4) (1 2 4) (2 4 5)))
 114           (list #(10.656854249492381 -0.6568542494923802 -0.9999999999999996)
 115                 (list #(0.4999999999999998 0.4999999999999997 0.7071067811865475)
 116                       #(-0.49999999999999856 -0.5000000000000011 0.7071067811865474)
 117                       #(0.7071067811865483 -0.7071067811865466 -1.2560739669470215e-15))
 118                 NIL)))
 119
 120 (addtest (lisp-stat-ut-array) spline
 121          (ensure-same
 122           (spline #(1.0 1.2 1.3 1.8 2.1 2.5)
 123                   #(1.2 2.0 2.1 2.0 1.1 2.8)
 124                   :xvals 6)
 125           (list (list 1.0 1.3 1.6 1.9 2.2 2.5)
 126                 (list 1.2 2.1 2.2750696543866313 1.6465231041904045 1.2186576148879609 2.8))
 127           :test 'almost=lists))
 128
 129 (addtest (lisp-stat-ut-array) kernel-smooth
 130          (ensure-same
 131           ;; using KERNEL-SMOOTH-FRONT, not KERNEL-SMOOTH-CPORT
 132           (kernel-smooth
 133            #(1.0 1.2 1.3 1.8 2.1 2.5)
 134            #(1.2 2.0 2.1 2.0 1.1 2.8)
 135            :xvals 5)
 136           (list (list 1.0 1.375 1.75 2.125 2.5)
 137                 (list 1.6603277642110226 1.9471748095239771 1.7938127405752287
 138                       1.5871511322219498 2.518194783156392))
 139           :test 'almost=lists))
 140
 141 (addtest (lisp-stat-ut-array) kernel-dens
 142          (ensure-same
 143           (kernel-dens
 144            #(1.0 1.2 2.5 2.1 1.8 1.2)
 145            :xvals 5)
 146           (list (list 1.0 1.375 1.75 2.125 2.5)
 147                 (list 0.7224150453621405 0.5820045548233707 0.38216411702854214
 148                       0.4829822708587095 0.3485939156929503))))
 149
 150
 151 (addtest (lisp-stat-ut-array) fft
 152          (ensure-same
 153           (fft #(1.0 1.2 2.5 2.1 1.8))
 154           (list #(#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)))
 155           :test 'almost=lists))
 156
 157
 158 (addtest (lisp-stat-ut-array) lowess
 159          (ensure-same
 160           (lowess #(1.0 1.2 2.5 2.1 1.8 1.2)
 161                   #(1.2 2.0 2.1 2.0 1.1 2.8))
 162           #(1.0 1.2 1.2 1.8 2.1 2.5)
 163           :test 'almost=lists)) ;; result isn't a list!
 164
 165 ;; (run-tests :suite 'lisp-stat-ut-array)
 166