`<hasSameFactoring>`

Boolean condition that tests for equivalent factoring

<hasSameFactoring> is an Evaluation component that returns the boolean value of true or false depending on whether the two enclosed <math> or math references are factored in the same way.

Attributes and Properties

Attributes for `<hasSameFactoring>`

Other (16)

allowedErrorInNumbers

number. Default value: 0. Maximum allowed numeric error when comparing numbers.

allowedErrorIsAbsolute

boolean. Default value: false. Whether allowedErrorInNumbers is interpreted as an absolute (rather than relative) tolerance.

allowOnlySignDifferences

boolean. Default value: false. Whether to count factorizations as equivalent when they differ only by sign.

caseInsensitiveMatch

boolean. Default value: false. Whether text comparisons ignore letter case.

expandOnCompare

boolean. Default value: false. Whether to expand math expressions before comparing.

includeErrorInNumberExponents

boolean. Default value: false. Whether the allowed numeric error also applies to numbers in exponents.

matchBlanks

boolean. Default value: false. Whether unfilled blanks in a math expression count as a match.

matchByExactPositions

boolean. Default value: false. Whether to match list values by exact position rather than by content.

monomialFactorMustMatch

boolean. Default value: false. Whether monomial factors must match exactly (implies restrictDivision).

numPeriodicSetMatchesRequired

integer. Default value: 3. Number of consecutive elements of a periodic set required to count as a match.

numSignErrorsMatched

number. Default value: 0. Maximum number of sign errors that still count as a match.

restrictDivision

boolean. Default value: false. Whether to disallow dividing through to match factored forms.

simplifyOnCompare

keyword. Level of simplification applied to math expressions before comparing.

Value	Description
`none` (default)	No simplification is applied before comparing.
`full`	Fully simplify both expressions before comparing.
`numbers`	Simplify numeric subexpressions only, leaving symbolic structure intact.
`numbersPreserveOrder`	Like `numbers`, but does not reorder commutative operands.
`normalizeOrder`	Reorder commutative operands into a canonical form without simplifying values.

symbolicEquality

boolean. Default value: false. Whether children compared via this boolean use symbolic equality.

unorderedCompare

boolean. Default value: false. Whether order is ignored when comparing list-like values.

variable

_variableName. Default value: $x$. Variable used when comparing factored expressions.

Common to all components (9)

copy

reference. Create an independent copy of another component by reference. Enter a references a $name.

disabled

boolean. Default value: false. Whether this component is disabled and cannot be interacted with.

extend

reference. Extend another component by reference, inheriting its children and attributes. Enter a reference as $name.

fixed

boolean. Default value: false. Whether this component's value is fixed and cannot be modified.

fixLocation

boolean. Default value: false. Whether this component's location is fixed (preventing it from being moved while still allowing other modifications).

hide

boolean. Default value: false. Whether to hide this component from the rendered output.

isResponse

boolean. Default value: false. Whether this component is treated as a response for the purposes of assessment.

name

text. The name used to reference this component from elsewhere in the document.

styleNumber

integer. Default value: 1. The style number used to select this component's visual styling from the available style definitions.

Properties for `<hasSameFactoring name="h">`

Other (18)

$h.allowedErrorInNumbers

number. Maximum allowed numeric error when comparing numbers.

$h.allowedErrorIsAbsolute

boolean. Whether allowedErrorInNumbers is interpreted as an absolute (rather than relative) tolerance.

$h.caseInsensitiveMatch

boolean. Whether text comparisons ignore letter case.

$h.disabled

boolean. Whether this component is disabled and cannot be interacted with.

$h.expandOnCompare

boolean. Whether to expand math expressions before comparing.

$h.fixed

boolean. Whether this component's value is fixed and cannot be modified.

$h.fixLocation

boolean. Whether this component's location is fixed (preventing it from being moved while still allowing other modifications).

$h.hidden

boolean. Whether this component is hidden from the rendered output.

$h.includeErrorInNumberExponents

boolean. Whether the allowed numeric error also applies to numbers in exponents.

$h.matchBlanks

boolean. Whether unfilled blanks in a math expression count as a match.

$h.matchByExactPositions

boolean. Whether to match list values by exact position rather than by content.

$h.numPeriodicSetMatchesRequired

integer. Number of consecutive elements of a periodic set required to count as a match.

$h.numSignErrorsMatched

number. Maximum number of sign errors that still count as a match.

$h.simplifyOnCompare

text. Level of simplification applied to math expressions before comparing.

$h.symbolicEquality

boolean. Whether children compared via this boolean use symbolic equality.

$h.text

text. The boolean rendered as a text string ("true" or "false").

$h.unorderedCompare

boolean. Whether order is ignored when comparing list-like values.

$h.value

boolean. Whether the input math expressions share the same factoring.

Common to all components (4)

$h.doenetML

text. The DoenetML source code that produced this component.

$h.hide

boolean. Whether to hide this component from the rendered output.

$h.isResponse

boolean. Whether this component is treated as a response for the purposes of assessment.

$h.styleNumber

integer. The style number used to select this component's visual styling from the available style definitions.

Examples

Example: basic use

The <hasSameFactoring> component is used to check that the user has supplied a factored expression, while preserving some flexibility in the manner of response. In order to evaluate to true, the entered expression must:

contain two distinct binomial terms
be mathematically equivalent to the factored expression

These requirements may be restricted further if desired, by applying additional attributes to <hasSameFactoring>.

group hint

<hasSameFactoring>