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;; -*-theme-d-*-
;; Copyright (C) 2023 Tommi Höynälänmaa
;; Distributed under GNU General Public License version 3,
;; see file doc/GPL-3.
;; Expected results: translation and running OK
(define-proper-program (tests test849)
(import (standard-library core)
(standard-library bvm-matrices)
(standard-library complex)
(standard-library basic-math)
(standard-library console-io)
(tests numerical-test-env)
(tests matrix-test-env))
(define-main-proc (() <none> nonpure)
(let* ((cx0 (complex 0.0 0.0))
(cx1m1 (complex 1.0 -1.0))
(mx1 (bvm-make-diag-matrix 5 cx1m1))
(mx2 (bvm-diag-matrix
(list (complex 2.0 1.0)
(complex -1.0 0.0)
(complex 0.0 4.0)
(complex 10.0 -5.0))))
(mx3 (bvm-diag-matrix
(list (complex 0.0 1.0)
(complex 10.0 5.0)
(complex 2.5 -2.5)
(complex 8.0 -7.0))))
(mx4
(bvm-matrix
(list
(list
(complex 1.0 -12.0) (complex 2.0 11.0) (complex 3.0 -10.0))
(list
(complex 4.0 -9.0) (complex 5.0 8.0) (complex 6.0 -7.0))
(list
(complex 7.0 -6.0) (complex 8.0 5.0) (complex 9.0 -4.0))
(list
(complex 10.0 -3.0) (complex 11.0 2.0) (complex 12.0 -1.0)))))
(mx5 (bvm-copy mx1))
(mx6 (diag->normal-matrix mx2))
(mx7
(construct-complex-matrix
(bvm-matrix '((1.0 2.0 3.0 1.0)
(4.0 5.0 6.0 -1.0)
(7.0 8.0 9.0 10.0)
(-1.0 -2.0 -3.0 -4.0)))
(bvm-matrix '((11.0 0.0 3.0 4.0)
(0.0 6.0 7.0 8.0)
(-7.5 -8.5 -9.5 -10.5)
(4.0 3.0 2.0 1.0))))))
(bvm-fill! mx5 cx1m1)
(diagonal-matrix-set! mx5 0 (complex 3.0 -2.0))
(matrix-set! mx5 1 1 (complex 4.0 5.0))
(report-diag-matrix-test mx1
(bvm-diag-matrix
(list cx1m1 cx1m1 cx1m1 cx1m1 cx1m1)))
(report-test (diagonal-matrix-ref mx5 0) (complex 3.0 -2.0))
(report-test (matrix-ref mx5 1 1) (complex 4.0 5.0))
(report-test (matrix-ref mx5 0 1) (complex 0.0 0.0))
(report-diag-matrix-test mx5
(bvm-diag-matrix
(list (complex 3.0 -2.0)
(complex 4.0 5.0)
cx1m1
cx1m1
cx1m1)))
(report-test (number-of-rows mx2) 4)
(report-test (number-of-columns mx2) 4)
(report-test (diag-matrix-numel mx2) 4)
(report-matrix-test
(diag->normal-matrix mx2)
(bvm-matrix (list
(list (complex 2.0 1.0) cx0 cx0 cx0)
(list cx0 (complex -1.0 0.0) cx0 cx0)
(list cx0 cx0 (complex 0.0 4.0) cx0)
(list cx0 cx0 cx0 (complex 10.0 -5.0)))))
(report-boolean-test (is-instance? mx6 <bvm-complex-matrix>) #t)
(report-diag-matrix-test (->complex-diag-matrix mx2)
mx2)
(report-diag-matrix-test (->single-complex-diag-matrix mx2)
(bvm-single-diag-matrix
(list
(complex 2.0 1.0)
(complex -1.0 0.0)
(complex 0.0 4.0)
(complex 10.0 -5.0))))
(report-diag-matrix-test
(+ mx2 mx3)
(bvm-diag-matrix
(list
(complex 2.0 2.0)
(complex 9.0 5.0)
(complex 2.5 1.5)
(complex 18.0 -12.0))))
(report-matrix-test
(+ mx2 mx7)
(bvm-matrix
(list
(list (complex 3.0 12.0) (complex 2.0 0.0) (complex 3.0 3.0)
(complex 1.0 4.0))
(list (complex 4.0 0.0) (complex 4.0 6.0) (complex 6.0 7.0)
(complex -1.0 8.0))
(list (complex 7.0 -7.5) (complex 8.0 -8.5) (complex 9.0 -5.5)
(complex 10.0 -10.5))
(list (complex -1.0 4.0) (complex -2.0 3.0) (complex -3.0 2.0)
(complex 6.0 -4.0)))))
(report-matrix-test
(+ mx7 mx2)
(bvm-matrix
(list
(list (complex 3.0 12.0) (complex 2.0 0.0) (complex 3.0 3.0)
(complex 1.0 4.0))
(list (complex 4.0 0.0) (complex 4.0 6.0) (complex 6.0 7.0)
(complex -1.0 8.0))
(list (complex 7.0 -7.5) (complex 8.0 -8.5) (complex 9.0 -5.5)
(complex 10.0 -10.5))
(list (complex -1.0 4.0) (complex -2.0 3.0) (complex -3.0 2.0)
(complex 6.0 -4.0)))))
(report-diag-matrix-test
(- mx2 mx3)
(bvm-diag-matrix
(list
(complex 2.0 0.0)
(complex -11.0 -5.0)
(complex -2.5 6.5)
(complex 2.0 2.0))))
(report-matrix-test
(- mx2 mx7)
(bvm-matrix
(list
(list (complex 1.0 -10.0) (complex -2.0 0.0) (complex -3.0 -3.0)
(complex -1.0 -4.0))
(list (complex -4.0 0.0) (complex -6.0 -6.0) (complex -6.0 -7.0)
(complex 1.0 -8.0))
(list (complex -7.0 7.5) (complex -8.0 8.5) (complex -9.0 13.5)
(complex -10.0 10.5))
(list (complex 1.0 -4.0) (complex 2.0 -3.0) (complex 3.0 -2.0)
(complex 14.0 -6.0)))))
(report-matrix-test
(- mx7 mx2)
(bvm-matrix
(list
(list (complex -1.0 10.0) (complex 2.0 0.0) (complex 3.0 3.0)
(complex 1.0 4.0))
(list (complex 4.0 0.0) (complex 6.0 6.0) (complex 6.0 7.0)
(complex -1.0 8.0))
(list (complex 7.0 -7.5) (complex 8.0 -8.5) (complex 9.0 -13.5)
(complex 10.0 -10.5))
(list (complex -1.0 4.0) (complex -2.0 3.0) (complex -3.0 2.0)
(complex -14.0 6.0)))))
(report-diag-matrix-test
(- mx2)
(bvm-diag-matrix
(list (complex -2.0 -1.0) (complex 1.0 0.0) (complex 0.0 -4.0)
(complex -10.0 5.0))))
(report-diag-matrix-test
(* mx2 mx3)
(bvm-diag-matrix
(list (complex -1.0 2.0) (complex -10.0 -5.0) (complex 10.0 10.0)
(complex 45.0 -110.0))))
(report-matrix-test
(* mx2 mx4)
(bvm-matrix
(list
(list (complex 14.0 -23.0) (complex -7.0 24.0) (complex 16.0 -17.0))
(list (complex -4.0 9.0) (complex -5.0 -8.0) (complex -6.0 7.0))
(list (complex 24.0 28.0) (complex -20.0 32.0) (complex 16.0 36.0))
(list (complex 85.0 -80.0) (complex 120.0 -35.0)
(complex 115.0 -70.0)))))
(report-matrix-test
(* (transpose mx4) mx2)
(bvm-matrix
(list
(list (complex 14.0 -23.0) (complex -4.0 9.0) (complex 24.0 28.0)
(complex 85.0 -80.0))
(list (complex -7.0 24.0) (complex -5.0 -8.0) (complex -20.0 32.0)
(complex 120.0 -35.0))
(list (complex 16.0 -17.0) (complex -6.0 7.0) (complex 16.0 36.0)
(complex 115.0 -70.0)))))
(report-diag-matrix-test
(* (complex 5.0 -2.0) mx2)
(bvm-diag-matrix
(list (complex 12.0 1.0) (complex -5.0 2.0) (complex 8.0 20.0)
(complex 40.0 -45.0))))
(report-diag-matrix-test
(* mx2 (complex 5.0 -2.0))
(bvm-diag-matrix
(list (complex 12.0 1.0) (complex -5.0 2.0) (complex 8.0 20.0)
(complex 40.0 -45.0))))
(report-boolean-test (= mx2 mx2) #t)
(report-boolean-test (= mx2 mx3) #f)
(report-boolean-test (= (diag->normal-matrix mx2) mx2) #t)
(report-boolean-test (= (diag->normal-matrix mx3) mx2) #f)
(report-diag-matrix-test
(conj mx2)
(bvm-diag-matrix
(list (complex 2.0 -1.0)
(complex -1.0 0.0)
(complex 0.0 -4.0)
(complex 10.0 5.0))))
(report-diag-matrix-test (transpose mx2) mx2)
(report-diag-matrix-test
(herm mx2)
(bvm-diag-matrix
(list (complex 2.0 -1.0)
(complex -1.0 0.0)
(complex 0.0 -4.0)
(complex 10.0 5.0))))
(report-diag-matrix-test
(diag-of mx4)
(bvm-diag-matrix
(list (complex 1.0 -12.0) (complex 5.0 8.0) (complex 9.0 -4.0))))
(report-diag-matrix-test
(bvm-generate-diag-matrix
3
(lambda (((i <integer>)) <complex> pure)
(let ((r (integer->real i)))
(complex (* -2.0 r) (+ r 3.0)))))
(bvm-diag-matrix
(list (complex 0.0 3.0) (complex -2.0 4.0) (complex -4.0 5.0))))
(report-diag-matrix-test
(matrix-map c-square mx2)
(bvm-diag-matrix
(list (complex 3.0 4.0) (complex 1.0 0.0) (complex -16.0 0.0)
(complex 75.0 -100.0))))
(report-diag-matrix-test
(diag-matrix-map-w-ind
(lambda (((i <integer>) (cx-elem <complex>)) <complex> pure)
(+ (integer->real i) (conj cx-elem)))
mx2)
(bvm-diag-matrix
(list (complex 2.0 -1.0)
(complex 0.0 0.0)
(complex 2.0 -4.0)
(complex 13.0 5.0))))
(report-exception
(+ mx2
(bvm-diag-matrix (list (complex 1.0 -1.0) (complex -10.0 5.0))))
'add-op-dm-dm:dim-mismatch)
(report-exception
(- mx2
(bvm-diag-matrix (list (complex 1.0 -1.0) (complex -10.0 5.0))))
'add-op-dm-dm:dim-mismatch)
(report-exception
(+ mx2 mx4)
'add-op-dm-mx:dim-mismatch)
(report-exception
(+ mx4 mx2)
'add-op-dm-mx:dim-mismatch)
(report-exception
(- mx2 mx4)
'add-op-dm-mx:dim-mismatch)
(report-exception
(- mx4 mx2)
'add-op-mx-dm:dim-mismatch)
(report-exception
(* mx2
(bvm-diag-matrix (list (complex 1.0 -1.0) (complex -10.0 5.0))))
'mult-op-dm-dm:dim-mismatch)
(report-exception
(* mx2
(bvm-matrix
(list
(list cx1m1 cx0)
(list (complex 4.0 3.0) (complex -1.0 -1.0)))))
'mult-op-dm-mx:dim-mismatch)
(report-exception
(* (bvm-matrix
(list
(list cx1m1 cx0)
(list (complex 4.0 3.0) (complex -1.0 -1.0))))
mx2)
'mult-op-mx-dm:dim-mismatch))))
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