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# -*- tcl -*-
# Tests for special (Bessel) functions in math library -*- tcl -*-
#
# This file contains a collection of tests for one or more of the Tcllib
# procedures. Sourcing this file into Tcl runs the tests and
# generates output for errors. No output means no errors were found.
#
# $Id: bessel.test,v 1.15 2007/08/21 17:33:00 andreas_kupries Exp $
#
# Copyright (c) 2004 by Arjen Markus
# All rights reserved.
#
# -------------------------------------------------------------------------
source [file join \
[file dirname [file dirname [file join [pwd] [info script]]]] \
devtools testutilities.tcl]
testsNeedTcl 8.5;# statistics,linalg!
testsNeedTcltest 2.1
support {
useLocal math.tcl math
useLocal constants.tcl math::constants
useLocal linalg.tcl math::linearalgebra ;# for statistics
useLocal statistics.tcl math::statistics
}
testing {
useLocal special.tcl math::special
}
# -------------------------------------------------------------------------
#
# As the values were given with four digits, an absolute
# error is most appropriate
#
proc matchNumbers {expected actual} {
set match 1
foreach a $actual e $expected {
if {abs($a-$e) > 0.1e-4} {
set match 0
break
}
}
return $match
}
customMatch numbers matchNumbers
# -------------------------------------------------------------------------
test "Bessel-1.0" "Values of the zeroth-order Bessel function" \
-match numbers -body {
set result {}
foreach x {0.0 1.0 2.0 5.0 7.0 10.0 11.0 14.0} {
lappend result [::math::special::J0 $x]
}
set result
} -result {1.0 0.765198 0.223891 -0.177597 0.300079 -0.245936 -0.171190 0.171073}
test "Bessel-1.1" "Values of the first-order Bessel function" \
-match numbers -body {
set result {}
foreach x {0.0 1.0 2.0 5.0 7.0 10.0 11.0 14.0} {
lappend result [::math::special::J1 $x]
}
set result
} -result {0.0 0.440050 0.576725 -0.327579 -0.004683 0.043473 -0.176785 0.133375}
#
# No tests for J1/2 yet
#
#
# No tests for I_n yet
#
# End of test cases
testsuiteCleanup
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