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# -*- tcl -*-
# fuzzy.test --
#
# Test suite for the math::fuzzy procs of tolerant comparisons
# (Tcl-only version)
#
# version 0.2: improved and extended implementation, march 2002
# version 0.2.1: added test for bug #2933130, january 2010
# -------------------------------------------------------------------------
source [file join \
[file dirname [file dirname [file join [pwd] [info script]]]] \
devtools testutilities.tcl]
testsNeedTcl 8.5
testsNeedTcltest 1.0
support {
useLocal math.tcl math
}
testing {
useLocal fuzzy.tcl math::fuzzy
}
# -------------------------------------------------------------------------
namespace import ::math::fuzzy::*
# -------------------------------------------------------------------------
#
# Test: tolerance has sane value
#
#test math-fuzzy-Tolerance-1.0 {Tolerance has acceptable value} {
# expr {(1.0+0.5*$::math::fuzzy::eps3) != 1.0}
#} 1
#test math-fuzzy-Tolerance-1.1 {Tolerance has acceptable value} {
# expr {(1.0-0.5*$::math::fuzzy::eps3) != 1.0}
#} 1
test math-fuzzy-Tolerance-1.0 {Tolerance has acceptable value} {
expr {(1.0+0.5*$::math::fuzzy::eps3) != 1.0}
} 1
test math-fuzzy-Tolerance-1.1 {Tolerance has acceptable value} {
expr {(1.0-0.5*$::math::fuzzy::eps3) != 1.0}
} 1
#
# Note: Equal-1.* and NotEqual-1.* are complementary
# GrEqual-1.* and Lower-1.* ditto
# GrThan-1.* and LoEqual-1.* ditto
#
test math-fuzzy-Equal-1.0 {Compare two floats and see if they are equal} {
teq 1.0 1.001
} 0
test math-fuzzy-Equal-1.1 {Compare two floats and see if they are equal} {
teq 1.0 1.0001
} 0
test math-fuzzy-Equal-1.2 {Compare two floats and see if they are equal} {
teq 1.0 1.00000000000000001
} 1
test math-fuzzy-Equal-1.3 {Compare two floats and see if they are equal} {
teq 1.0 1.000000000000001
} 0
test math-fuzzy-NotEqual-1.0 {Compare two floats and see if they differ} {
tne 1.0 1.001
} 1
test math-fuzzy-NotEqual-1.1 {Compare two floats and see if they differ} {
tne 1.0 1.0001
} 1
test math-fuzzy-NotEqual-1.2 {Compare two floats and see if they differ} {
tne 1.0 1.00000000000000001
} 0
test math-fuzzy-NotEqual-1.3 {Compare two floats and see if they differ} {
tne 1.0 1.000000000000001
} 1
test math-fuzzy-GrEqual-1.0 {Compare two floats - check greater/equal} {
tge 1.0 1.001
} 0
test math-fuzzy-GrEqual-1.1 {Compare two floats - check greater/equal} {
tge 1.0 1.0001
} 0
test math-fuzzy-GrEqual-1.2 {Compare two floats - check greater/equal} {
tge 1.0 1.00000000000000001
} 1
test math-fuzzy-GrEqual-1.3 {Compare two floats - check greater/equal} {
tge 1.0 1.000000000000001
} 0
test math-fuzzy-Lower-1.0 {Compare two floats - check lower} {
tlt 1.0 1.001
} 1
test math-fuzzy-Lower-1.1 {Compare two floats - check lower} {
tlt 1.0 1.0001
} 1
test math-fuzzy-Lower-1.2 {Compare two floats - check lower} {
tlt 1.0 1.00000000000000001
} 0
test math-fuzzy-Lower-1.3 {Compare two floats - check lower} {
tlt 1.0 1.000000000000001
} 1
test math-fuzzy-Lower-1.4 {Compare two floats - check lower} {
# They can not both be true
expr {[tlt 1.1 1.0] && [tlt 1.0 1.1]}
} 0
test math-fuzzy-LoEqual-1.0 {Compare two floats - check lower/equal} {
tle 1.0 1.001
} 1
test math-fuzzy-LoEqual-1.1 {Compare two floats - check lower/equal} {
tle 1.0 1.0001
} 1
test math-fuzzy-LoEqual-1.2 {Compare two floats - check lower/equal} {
tle 1.0 1.00000000000000001
} 1
test math-fuzzy-LoEqual-1.3 {Compare two floats - check lower/equal} {
tle 1.0 1.000000000000001
} 1
test math-fuzzy-Greater-1.0 {Compare two floats - check greater} {
tgt 1.0 1.001
} 0
test math-fuzzy-Greater-1.1 {Compare two floats - check greater} {
tgt 1.0 1.0001
} 0
test math-fuzzy-Greater-1.2 {Compare two floats - check greater} {
tgt 1.0 1.00000000000000001
} 0
test math-fuzzy-Greater-1.3 {Compare two floats - check greater} {
tgt 1.0 1.000000000000001
} 0
#
# Note: there is no possibility to print the results of the
# naive comparison or floor/ceil?
#
# Note: no attention paid to tcl_precision!
#
test math-fuzzy-ManyCompares-1.0 {Compare results of calculations} {
set tol_eq 0
set tol_ne 0
set tol_ge 0
set tol_gt 0
set tol_le 0
set tol_lt 0
for { set i -1000 } { $i <= 1000 } { incr i } {
if { $i == 0 } continue
set x [expr {1.01/double($i)}]
set y [expr {(2.1*$x)*(double($i)/2.1)}]
if { [teq $y 1.01] } { incr tol_eq }
if { [tne $y 1.01] } { incr tol_ne }
if { [tge $y 1.01] } { incr tol_ge }
if { [tgt $y 1.01] } { incr tol_gt }
if { [tle $y 1.01] } { incr tol_le }
if { [tlt $y 1.01] } { incr tol_lt }
}
set result [list $tol_eq $tol_ne $tol_ge $tol_gt $tol_le $tol_lt]
} {2000 0 2000 0 2000 0}
test math-fuzzy-ManyCompares-1.1 {Compare fails due to missing braces at reduced precision} {
set tol_eq 0
set tol_ne 0
set tol_ge 0
set tol_gt 0
set tol_le 0
set tol_lt 0
#
# Force Tcl8.4 or earlier behaviour in expanding numbers
# Requires tcl_precision of 12!
#
set prec $::tcl_precision
set ::tcl_precision 12
for { set i -1000 } { $i <= 1000 } { incr i } {
if { $i == 0 } continue
#
# NOTE: The braces in the assignment for y are missing on purpose!
#
set x [expr {1.01/double($i)}]
set y [expr (2.1*$x)*(double($i)/2.1)]
if { [teq $y 1.01] } { incr tol_eq }
if { [tne $y 1.01] } { incr tol_ne }
if { [tge $y 1.01] } { incr tol_ge }
if { [tgt $y 1.01] } { incr tol_gt }
if { [tle $y 1.01] } { incr tol_le }
if { [tlt $y 1.01] } { incr tol_lt }
}
set result [list $tol_eq $tol_ne $tol_ge $tol_gt $tol_le $tol_lt]
set intended {2000 0 2000 0 2000 0}
set equal 1
foreach r $result i $intended {
if { $r != $i } {
set equal 0
}
}
set tcl_precision $prec
set equal
} 0
test math-fuzzy-ManyCompares-1.2 {Compare does not fail even with missing braces because of sufficient precision} {
set tol_eq 0
set tol_ne 0
set tol_ge 0
set tol_gt 0
set tol_le 0
set tol_lt 0
#
# Force sufficient precision if Tcl8.4 or earlier
#
set prec $::tcl_precision
if {![package vsatisfies [package provide Tcl] 8.5]} {
set ::tcl_precision 17
} else {
set ::tcl_precision 0
}
for { set i -1000 } { $i <= 1000 } { incr i } {
if { $i == 0 } continue
#
# NOTE: The braces in the assignment for y are missing on purpose!
#
set x [expr {1.01/double($i)}]
set y [expr (2.1*$x)*(double($i)/2.1)]
if { [teq $y 1.01] } { incr tol_eq }
if { [tne $y 1.01] } { incr tol_ne }
if { [tge $y 1.01] } { incr tol_ge }
if { [tgt $y 1.01] } { incr tol_gt }
if { [tle $y 1.01] } { incr tol_le }
if { [tlt $y 1.01] } { incr tol_lt }
}
set result [list $tol_eq $tol_ne $tol_ge $tol_gt $tol_le $tol_lt]
set intended {2000 0 2000 0 2000 0}
set equal 1
foreach r $result i $intended {
if { $r != $i } {
set equal 0
}
}
set tcl_precision $prec
set equal
} 1
test math-fuzzy-ManyCompares-1.3 {Compare fails due to naive comparison} {
set naiv_eq 0
set naiv_ne 0
set naiv_ge 0
set naiv_gt 0
set naiv_le 0
set naiv_lt 0
for { set i -1000 } { $i <= 1000 } { incr i } {
if { $i == 0 } continue
set x [expr {1.01/double($i)}]
set y [expr {(2.1*$x)*(double($i)/2.1)}]
if { $y == 1.01 } { incr naiv_eq }
if { $y != 1.01 } { incr naiv_ne }
if { $y >= 1.01 } { incr naiv_ge }
if { $y > 1.01 } { incr naiv_gt }
if { $y <= 1.01 } { incr naiv_le }
if { $y < 1.01 } { incr naiv_lt }
}
set result [list $naiv_eq $naiv_ne $naiv_ge $naiv_gt $naiv_le $naiv_lt]
set intended {2000 0 2000 0 2000 0}
set equal 1
foreach r $result i $intended {
if { $r != $i } {
set equal 0
}
}
set equal
} 0
test math-fuzzy-Floor-Ceil-1.0 {Check floor and ceil functions} {
set fc_eq 0
set fz_eq 0
set fz_ne 0
for { set i -1000 } { $i <= 1000 } { incr i } {
set x [expr {0.11*double($i)}]
set y [expr {(($x*11.0)-$x)-double($i)/10.0}]
set z [expr {double($i)}]
if { [tfloor $y] == $z } { incr fz_eq }
if { [tfloor $y] == [tceil $y] } { incr fc_eq }
}
set result [list $fc_eq $fz_eq]
} {2001 2001}
test math-fuzzy-Floor-Ceil-1.1 {Naive floor and ceil fail} {
set fc_eq 0
set fz_eq 0
set fz_ne 0
for { set i -1000 } { $i <= 1000 } { incr i } {
set x [expr {0.11*double($i)}]
set y [expr {(($x*11.0)-$x)-double($i)/10.0}]
set z [expr {double($i)}]
if { [expr {floor($y)}] == $z } { incr fz_eq }
if { [expr {floor($y)}] == [expr {ceil($y)}] } { incr fc_eq }
}
set result [list $fc_eq $fz_eq]
set intended {2001 2001}
set equal 1
foreach r $result i $intended {
if { $r != $i } {
set equal 0
}
}
set equal
} 0
test math-fuzzy-Roundoff-1.0 {Rounding off numbers} {
set result {}
foreach x {
0.1 0.3 0.4999999 0.5000001 0.99999
-0.1 -0.3 -0.4999999 -0.5000001 -0.99999
} {
lappend result [tround $x]
}
set result
} {0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 -1.0}
test math-fuzzy-Roundoff-1.1 {Rounding off numbers naively - may fail} {
set result {}
foreach x {
0.1 0.3 0.4999999 0.5000001 0.99999
-0.1 -0.3 -0.4999999 -0.5000001 -0.99999
} {
lappend result [expr {floor($x+0.5)}]
}
set result
} {0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 -1.0}
test math-fuzzy-Roundoff-2.1 {Rounding off numbers with one digit} {
set result {}
foreach x {
0.11 0.32 0.4999999 0.5000001 0.99999
-0.11 -0.32 -0.4999999 -0.5000001 -0.99999
} {
lappend result [troundn $x 1]
}
set result
} {0.1 0.3 0.5 0.5 1.0 -0.1 -0.3 -0.5 -0.5 -1.0}
test math-fuzzy-Roundoff-2.2 {Rounding off numbers with two digits} {
set result {}
foreach x {
0.11 0.32 0.4999999 0.5000001 0.99999
-0.11 -0.32 -0.4999999 -0.5000001 -0.99999
} {
lappend result [troundn $x 2]
}
set result
} {0.11 0.32 0.5 0.5 1.0 -0.11 -0.32 -0.5 -0.5 -1.0}
test math-fuzzy-Roundoff-2.3 {Rounding off numbers with three digits} {
set result {}
foreach x {
0.1115 0.3210 0.4909999 0.5123401 0.99999
-0.1115 -0.3210 -0.4909999 -0.5123401 -0.99999
} {
lappend result [troundn $x 3]
}
set result
} {0.112 0.321 0.491 0.512 1.0 -0.111 -0.321 -0.491 -0.512 -1.0}
#
# Hm, here we have a discrepancy: 0.112 and -0.111!
|
