#############################################################
#
# Implements the ->cmp method for Value objects.
# Otherwise known as MathObjects. This produces
# an answer checker appropriate for the type of object.
# Additional options can be passed to the cmp method to
# modify its action.
#
# Usage: $num = Real(3.45); # Real can be replaced by any other MathObject
# ANS($num->cmp(compareOptionName => compareOptionValue, ... ))
#
# The individual Value packages are modified below to add the
# needed methods.
#
############################################################## Internal use. # Set default flags for the answer checker in this object # showTypeWarnings => 1 # showEqualErrors => 1 # ignoreStrings => 1 # studentsMustReduceUnions => 1 # showUnionReduceWarnings => 1 #
Usage ANS( Real(3.56)->cmp() )
Compares response to a real value using 'fuzzy' comparison
compareOptions and default values:
showTypeWarnings => 1,
showEqualErrors => 1,
ignoreStrings => 1, Usage: $s = String("pole");
ANS($s->cmp(typeMatch => Complex("4+i")));
# compare to response 'pole', don't complain about complex number responses.
compareOptions and default values:
showTypeWarnings => 1,
showEqualErrors => 1,
ignoreStrings => 1, # don't complain about string-valued responses
typeMatch => 'Value::Real'
Initial and final spaces are ignored when comparing strings. Usage: $pt = Point("(3,6)"); # preferred
or $pt = Point(3,6);
or $pt = Point([3,6]);
ANS($pt->cmp());
compareOptions:
showTypeWarnings => 1, # warns if student response is of incorrect type
showEqualErrors => 1,
ignoreStrings => 1,
showDimensionHints => 1, # reports incorrect number of coordinates
showCoordinateHints =>1, # flags individual coordinates that are incorrect Usage: $vec = Vector("<3,6,7>");
or $vec = Vector(3,6,7);
or $vec = Vector([3,6,7]);
ANS($vec->cmp());
compareOptions:
showTypeWarnings => 1, # warns if student response is of incorrect type
showEqualErrors => 1,
ignoreStrings => 1,
showDimensionHints => 1, # reports incorrect number of coordinates
showCoordinateHints => 1, # flags individual coordinates which are incorrect
promotePoints => 0, # allow students to enter vectors as points (3,5,6)
parallel => 1, # response is correct if it is parallel to correct answer
sameDirection => 1, # response is correct if it has same orientation as correct answer
# (only has an effect when parallel => 1 is specified) Usage $ma = Matrix([[3,6],[2,5]]) or $ma =Matrix([3,6],[2,5])
ANS($ma->cmp());
compareOptions:
showTypeWarnings => 1, # warns if student response is of incorrect type
showEqualErrors => 1, # reports messages that occur during element comparisons
ignoreStrings => 1,
showDimensionHints => 1, # reports incorrect number of coordinates
showCoordinateHints => 1, # flags individual coordinates which are incorrect Usage: $interval = Interval("(1,2]");
or $interval = Interval('(',1,2,']');
ANS($inteval->cmp);
compareOptions and defaults:
showTypeWarnings => 1,
showEqualErrors => 1,
ignoreStrings => 1,
showEndpointHints => 1, # show hints about which end point values are correct
showEndTypeHints => 1, # show hints about endpoint types
requireParenMatch => 1, Usage: $set = Set(5,6,'a', 'b')
or $set = Set("{5, 6, a, b}")
The object is a finite set of real numbers. It can be used with Union and
Interval.
Examples: Interval("(-inf,inf)") - Set(0)
Compute("R-{0}") # in Interval context: Context("Interval"); Usage: $union = Union("[4,5] U [6,7]");
or $union = Union(Interval("[4,5]",Interval("[6,7]"));
ANS($union->cmp()); Usage: $lst = List("1, x, <4,5,6>"); # list of a real, a formula and a vector.
or $lst = List(Real(1), Formula("x"), Vector(4,5,6));
ANS($lst->cmp(showHints=>1));
compareOptions and defaults:
showTypeWarnings => 1,
showEqualErrors => 1, # show errors produced when checking equality of entries
ignoreStrings => 1, # don't show type warnings for strings
studentsMustReduceUnions => 1,
showUnionReduceWarnings => 1,
showHints => undef, # automatically set to 1 if $showPartialCorrectAnswers == 1
showLengthHints => undef, # automatically set to 1 if $showPartialCorrectAnswers == 1
showParenHints => undef, # automatically set to 1 if $showPartialCorrectAnswers == 1
partialCredit => undef, # automatically set to 1 if $showPartialCorrectAnswers == 1
ordered => 0, # 1 = must be in same order as correct answer
entry_type => undef, # determined from first entry
list_type => undef, # determined automatically
typeMatch => $element, # used for type checking the entries
firstElement => $element,
extra => undef, # used to check syntax of incorrect answers
requireParenMatch => 1, # student parens must match correct parens
removeParens => 1, # remove outermost parens, if any
implicitList => 1, # force single answers to be lists (even if they ARE lists) Usage: $fun = Formula("x^2-x+1");
$set = Formula("[-1, x) U (x, 2]");
A formula can have any of the other math object types as its range.
Union, List, Number (Complex or Real),