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