internal-test/floating-point.lisp

   1 #|
   2
   3   LISP-UNIT Floating Point Tests
   4
   5   Copyright (c) 2010-2016, Thomas M. Hermann
   6
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   8   a copy of this software and associated documentation files (the "Software"),
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  12   Software is furnished to do so, subject to the following conditions:
  13
  14   The above copyright notice and this permission notice shall be included
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  24
  25 |#
  26
  27 (in-package :lisp-unit)
  28
  29 ;;; List norms
  30
  31 (define-test %norm-list
  32   "Internal test of %norm on lists."
  33   (:tag :norm)
  34   ;; Taxicab norm
  35   (assert-rational-equal
  36    36 (%norm '(-6 -5 -4 -3 -2 -1 0 1 2 3 4 5) 1))
  37   (assert-float-equal
  38    19.535658
  39    (%norm
  40     '(#C(1 0) #C(3 1) #C(2 3) #C(0 4)
  41       #C(-2 3) #C(-3 1) #C(-1 0))
  42     1))
  43   ;; Euclidean norm
  44   (assert-float-equal
  45    12.083046
  46    (%norm '(-6 -5 -4 -3 -2 -1 0 1 2 3 4 5) 2))
  47   (assert-float-equal
  48    8.0
  49    (%norm
  50     '(#C(1 0) #C(3 1) #C(2 3) #C(0 4)
  51       #C(-2 3) #C(-3 1) #C(-1 0)) 2))
  52   ;; P-norm
  53   (let ((data '(-6 -5 -4 -3 -2 -1 0 1 2 3 4 5))
  54         (zdata '(#C(1 0) #C(3 1) #C(2 3) #C(0 4)
  55                  #C(-2 3) #C(-3 1) #C(-1 0))))
  56     (assert-float-equal 8.732892 (%norm data 3))
  57     (assert-float-equal 6.064035 (%norm zdata 3)))
  58   ;; Infinity norm
  59   (assert-rational-equal
  60    6 (%norm
  61       '(-6 -5 -4 -3 -2 -1 0 1 2 3 4 5)
  62       :infinity))
  63   (assert-float-equal
  64    4.0 (%norm
  65         '(#C(1 0) #C(3 1) #C(2 3) #C(0 4)
  66           #C(-2 3) #C(-3 1) #C(-1 0))
  67         :infinity)))
  68
  69 ;;; Vector norms
  70
  71 (define-test %norm-vector
  72   "Internal test of %norm on vectors"
  73   (:tag :norm)
  74   ;; Taxicab norm
  75   (assert-rational-equal
  76    36 (%norm #(-6 -5 -4 -3 -2 -1 0 1 2 3 4 5) 1))
  77   (assert-float-equal
  78    19.535658
  79    (%norm
  80     #(#C(1 0) #C(3 1) #C(2 3) #C(0 4)
  81       #C(-2 3) #C(-3 1) #C(-1 0))
  82     1))
  83   ;; Euclidean norm
  84   (assert-float-equal
  85    12.083046
  86    (%norm #(-6 -5 -4 -3 -2 -1 0 1 2 3 4 5) 2))
  87   (assert-float-equal
  88    8.0
  89    (%norm
  90     #(#C(1 0) #C(3 1) #C(2 3) #C(0 4)
  91       #C(-2 3) #C(-3 1) #C(-1 0))
  92     2))
  93   ;; P-norm
  94   (let ((data #(-6 -5 -4 -3 -2 -1 0 1 2 3 4 5))
  95         (zdata #(#C(1 0) #C(3 1) #C(2 3) #C(0 4)
  96                  #C(-2 3) #C(-3 1) #C(-1 0))))
  97     (assert-float-equal 8.732892 (%norm data 3))
  98     (assert-float-equal 6.064035 (%norm zdata 3)))
  99   ;; Infinity norm
 100   (assert-rational-equal
 101    6 (%norm #(-6 -5 -4 -3 -2 -1 0 1 2 3 4 5) :infinity))
 102   (assert-float-equal
 103    4.0 (%norm
 104         #(#C(1 0) #C(3 1) #C(2 3) #C(0 4)
 105           #C(-2 3) #C(-3 1) #C(-1 0))
 106         :infinity)))