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 Matrices and Linear Algebra.  Should provide additional
  14 ;;; tests for lisp-matrix integration.
  15
  16 (deftestsuite lisp-stat-ut-array (lisp-stat-ut) ())
  17
  18 (addtest (lisp-stat-ut-array) cholesky-decomposition-1
  19          (ensure-same
  20           (chol-decomp  #2A((2 3 4) (1 2 4) (2 4 5)))
  21           (list #2A((1.7888543819998317 0.0 0.0)
  22                     (1.6770509831248424 0.11180339887498929 0.0)
  23                     (2.23606797749979 2.23606797749979 3.332000937312528e-8))
  24                   5.000000000000003)
  25           :test 'almost=lists))
  26
  27 (addtest (lisp-stat-ut-array) cholesky-decomposition-1
  28          (ensure-same
  29           (chol-decomp  #2A((2 3 4) (1 2 4) (2 4 5)))
  30           (list #2A((1.7888543819998317 0.0 0.0)
  31                     (1.6770509831248424 0.11180339887498929 0.0)
  32                     (2.23606797749979 2.23606797749979 3.332000937312528e-8))
  33                   5.000000000000003)
  34           :test 'almost=lists))
  35
  36 #|
  37 (addtest (lisp-stat-ut-array) cholesky-decomposition-2
  38          (ensure-same
  39           (matlisp:chol)))
  40
  41 |#
  42
  43
  44 (addtest (lisp-stat-ut-array) lu-decomposition
  45          (ensure-same
  46           (lu-decomp  #2A((2 3 4)
  47                           (1 2 4)
  48                           (2 4 5)))
  49           (list #2A((2.0 3.0 4.0) (1.0 1.0 1.0) (0.5 0.5 1.5))
  50                 #(0 2 2)
  51                 -1.0
  52                 NIL)))
  53
  54 (addtest (lisp-stat-ut-array) lu-decomposition-2
  55          (ensure-same
  56           (lu-decomp  (make-real-matrix #2A((2 3 4)
  57                                             (1 2 4)
  58                                             (2 4 5))))
  59           (list #2A((2.0 3.0 4.0) (1.0 1.0 1.0) (0.5 0.5 1.5))
  60                 #(0 2 2)
  61                 -1.0
  62                 NIL)))
  63
  64
  65
  66 (addtest (lisp-stat-ut-array) rcondest
  67          ;; (ensure-same
  68          (ensure-error  ;; it barfs,  FIXME!!
  69           (rcondest #2A((2 3 4) (1 2 4) (2 4 5)))
  70           6.8157451e7
  71           :test 'almost=))
  72
  73 (addtest (lisp-stat-ut-array) lu-solve
  74          (ensure-same
  75           (lu-solve
  76            (lu-decomp
  77             #2A((2 3 4) (1 2 4) (2 4 5)))
  78            #(2 3 4))
  79           #(-2.333333333333333 1.3333333333333335 0.6666666666666666)))
  80
  81 (addtest (lisp-stat-ut-array) inverse
  82          (ensure-same
  83           (inverse #2A((2 3 4) (1 2 4) (2 4 5)))
  84           #2A((2.0 -0.33333333333333326 -1.3333333333333335)
  85               (-1.0 -0.6666666666666666 1.3333333333333333)
  86               (0.0 0.6666666666666666 -0.3333333333333333))))
  87
  88 (addtest (lisp-stat-ut-array)  sv-decomp
  89          (ensure-same
  90           (sv-decomp  #2A((2 3 4) (1 2 4) (2 4 5)))
  91           (list #2A((-0.5536537653489974 0.34181191712789266 -0.7593629708013371)
  92                     (-0.4653437312661058 -0.8832095891230851 -0.05827549615722014)
  93                     (-0.6905959164998124 0.3211003503429828 0.6480523475178517))
  94                 #(9.699290438141343 0.8971681569301373 0.3447525123483081)
  95                 #2A((-0.30454218417339873 0.49334669582252344 -0.8147779426198863)
  96                     (-0.5520024849987308 0.6057035911404464 0.5730762743603965)
  97                     (-0.7762392122368734 -0.6242853493399995 -0.08786630745236332))
  98                 T)
  99           :test 'almost=lists))
 100
 101 (addtest (lisp-stat-ut-array) qr-decomp
 102          (ensure-same
 103           (qr-decomp  #2A((2 3 4) (1 2 4) (2 4 5)))
 104           (list #2A((-0.6666666666666665 0.7453559924999298 5.551115123125783e-17)
 105                     (-0.3333333333333333 -0.2981423969999719 -0.894427190999916)
 106                     (-0.6666666666666666 -0.5962847939999439 0.44721359549995787))
 107                 #2A((-3.0 -5.333333333333334 -7.333333333333332)
 108                     (0.0 -0.7453559924999292 -1.1925695879998877)
 109                     (0.0 0.0 -1.3416407864998738)))
 110           :test 'almost=lists))
 111
 112 (addtest (lisp-stat-ut-array) eigen
 113          (ensure-same
 114           (eigen #2A((2 3 4) (1 2 4) (2 4 5)))
 115           (list #(10.656854249492381 -0.6568542494923802 -0.9999999999999996)
 116                 (list #(0.4999999999999998 0.4999999999999997 0.7071067811865475)
 117                       #(-0.49999999999999856 -0.5000000000000011 0.7071067811865474)
 118                       #(0.7071067811865483 -0.7071067811865466 -1.2560739669470215e-15))
 119                 NIL)))
 120
 121 (addtest (lisp-stat-ut-array) spline
 122          (ensure-same
 123           (spline #(1.0 1.2 1.3 1.8 2.1 2.5)
 124                   #(1.2 2.0 2.1 2.0 1.1 2.8)
 125                   :xvals 6)
 126           (list (list 1.0 1.3 1.6 1.9 2.2 2.5)
 127                 (list 1.2 2.1 2.2750696543866313 1.6465231041904045 1.2186576148879609 2.8))
 128           :test 'almost=lists))
 129
 130 (addtest (lisp-stat-ut-array) kernel-smooth
 131          (ensure-same
 132           ;; using KERNEL-SMOOTH-FRONT, not KERNEL-SMOOTH-CPORT
 133           (kernel-smooth
 134            #(1.0 1.2 1.3 1.8 2.1 2.5)
 135            #(1.2 2.0 2.1 2.0 1.1 2.8)
 136            :xvals 5)
 137           (list (list 1.0 1.375 1.75 2.125 2.5)
 138                 (list 1.6603277642110226 1.9471748095239771 1.7938127405752287
 139                       1.5871511322219498 2.518194783156392))
 140           :test 'almost=lists))
 141
 142 (addtest (lisp-stat-ut-array) kernel-dens
 143          (ensure-same
 144           (kernel-dens
 145            #(1.0 1.2 2.5 2.1 1.8 1.2)
 146            :xvals 5)
 147           (list (list 1.0 1.375 1.75 2.125 2.5)
 148                 (list 0.7224150453621405 0.5820045548233707 0.38216411702854214
 149                       0.4829822708587095 0.3485939156929503))))
 150
 151
 152 (addtest (lisp-stat-ut-array) fft
 153          (ensure-same
 154           (fft #(1.0 1.2 2.5 2.1 1.8))
 155           (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)))
 156           :test 'almost=lists))
 157
 158
 159 (addtest (lisp-stat-ut-array) lowess
 160          (ensure-same
 161           (lowess #(1.0 1.2 2.5 2.1 1.8 1.2)
 162                   #(1.2 2.0 2.1 2.0 1.1 2.8))
 163           #(1.0 1.2 1.2 1.8 2.1 2.5)
 164           :test 'almost=lists)) ;; result isn't a list!
 165
 166 ;; (run-tests :suite 'lisp-stat-ut-array)
 167