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;; -*-theme-d-*-
;; Copyright (C) 2023, 2024 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 test840)
(import (standard-library core)
(standard-library matrix)
(standard-library math)
(tests numerical-test-env)
(tests matrix-test-env))
(define-syntax constant-real-matrix
(syntax-rules ()
((_ ll) (matrix
(static-cast (:uniform-list (:uniform-list <real>))
ll)))))
(define-syntax constant-complex-matrix
(syntax-rules ()
((_ ll) (matrix
(static-cast (:uniform-list (:uniform-list <complex>))
ll)))))
(define-syntax constant-real-diagonal-matrix
(syntax-rules ()
((_ ll) (diagonal-matrix
(static-cast (:uniform-list <real>)
ll)))))
(define-syntax constant-complex-diagonal-matrix
(syntax-rules ()
((_ ll) (diagonal-matrix
(static-cast (:uniform-list <complex>)
ll)))))
(define-main-proc (() <none> nonpure)
(let* ((mx1
(constant-real-matrix '((1.0 2.0 3.0)
(4.0 5.0 6.0)
(7.0 8.0 9.0)
(10.0 11.0 12.0))))
(mx2
(constant-real-matrix '((-2.0 1.0)
(3.5 1.5)
(-10.0 10.0))))
(mx3
(constant-real-matrix '((1.0 0.0)
(-3.5 1.0)
(0.0 1.0))))
(mx4 (construct-complex-matrix mx2 mx3))
(mx5 (constant-real-diagonal-matrix (list 1.0 -1.5 2.0 0.0 5.0)))
(mx6 (constant-real-diagonal-matrix (list 0.0 -10.5 2.0 1.0)))
(mx7 (constant-real-diagonal-matrix (list 2.0 -3.5 2.0 0.0)))
(mx8 (construct-complex-matrix mx6 mx7))
(mx9
(constant-real-matrix '((1.0 2.0 3.0)
(4.0 5.0 6.0)
(7.0 8.0 9.0)))))
(report-matrix-test (conj mx1) mx1)
(report-matrix-test
(transpose mx1)
(constant-real-matrix '((1.0 4.0 7.0 10.0)
(2.0 5.0 8.0 11.0)
(3.0 6.0 9.0 12.0))))
(report-matrix-test
(herm mx1)
(constant-real-matrix '((1.0 4.0 7.0 10.0)
(2.0 5.0 8.0 11.0)
(3.0 6.0 9.0 12.0))))
(report-matrix-test
mx4
(constant-complex-matrix
(list
(list (complex -2.0 1.0) (complex 1.0 0.0))
(list (complex 3.5 -3.5) (complex 1.5 1.0))
(list (complex -10.0 0.0) (complex 10.0 1.0)))))
(report-matrix-test
(conj mx4)
(constant-complex-matrix
(list
(list (complex -2.0 -1.0) (complex 1.0 0.0))
(list (complex 3.5 3.5) (complex 1.5 -1.0))
(list (complex -10.0 0.0) (complex 10.0 -1.0)))))
(report-matrix-test
(transpose mx4)
(constant-complex-matrix
(list
(list (complex -2.0 1.0) (complex 3.5 -3.5) (complex -10.0 0.0))
(list (complex 1.0 0.0) (complex 1.5 1.0) (complex 10.0 1.0)))))
(report-matrix-test
(herm mx4)
(constant-complex-matrix
(list
(list (complex -2.0 -1.0) (complex 3.5 3.5) (complex -10.0 0.0))
(list (complex 1.0 0.0) (complex 1.5 -1.0) (complex 10.0 -1.0)))))
(report-boolean-test (is-instance? mx8 (:diagonal-matrix <complex>)) #t)
(report-diag-matrix-test (conj mx5) mx5)
(report-diag-matrix-test (transpose mx5) mx5)
(report-diag-matrix-test (herm mx5) mx5)
(report-diag-matrix-test
(conj mx8)
(constant-complex-diagonal-matrix
(list (complex 0.0 -2.0)
(complex -10.5 3.5)
(complex 2.0 -2.0)
(complex 1.0 0.0))))
(report-diag-matrix-test (transpose mx8) mx8)
(report-diag-matrix-test
(herm mx8)
(constant-complex-diagonal-matrix
(list (complex 0.0 -2.0)
(complex -10.5 3.5)
(complex 2.0 -2.0)
(complex 1.0 0.0))))
(report-diag-matrix-test (diag-of mx1)
(constant-real-diagonal-matrix '(1.0 5.0 9.0)))
(report-diag-matrix-test (diag-of mx9)
(constant-real-diagonal-matrix '(1.0 5.0 9.0)))
(report-matrix-test
(generate-matrix
3
4
(lambda (((i1 <integer>) (i2 <integer>)) <real> pure)
(if (= i1 i2) 1.0 0.0)))
(constant-real-matrix '((1.0 0.0 0.0 0.0)
(0.0 1.0 0.0 0.0)
(0.0 0.0 1.0 0.0))))
(report-diag-matrix-test
(generate-diag-matrix 4 integer->real)
(constant-real-diagonal-matrix '(0.0 1.0 2.0 3.0)))
(report-matrix-test (matrix-map r-square mx1)
(constant-real-matrix '((1.0 4.0 9.0)
(16.0 25.0 36.0)
(49.0 64.0 81.0)
(100.0 121.0 144.0))))
(report-matrix-test
(matrix-map-w-ind
(lambda (((i1 <integer>) (i2 <integer>) (r-elem <real>))
<real> pure)
(if (= i1 i2) r-elem 1.0))
mx1)
(constant-real-matrix '((1.0 1.0 1.0)
(1.0 5.0 1.0)
(1.0 1.0 9.0)
(1.0 1.0 1.0))))
(report-diag-matrix-test
(diag-matrix-map-w-ind
(lambda (((i <integer>) (r-elem <real>)) <real> pure)
(+ r-elem (integer->real i)))
mx5)
(constant-real-diagonal-matrix '(1.0 -0.5 4.0 3.0 9.0))))))
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