<boolean>

<boolean> is a Logic component that renders the boolean value of true or false of the enclosed expression.

Attributes and Properties

Example: <boolean> value of an equation

<p>The following equation is 
  <alert><boolean>1 + 1 = $input</boolean></alert>.</p>
  <m>1 + 1 = </m> <mathInput name="input" prefill="3"/>

A <boolean> component is used to render whether an equation is true or false for a user-supplied response

Example: <boolean> value of a geometric property

A <boolean> component is used to render whether a statement regarding the geometric slope of a named <line> is true or false. Adjust the slope of the line to affect the <boolean>.

Example: Constructing compound <boolean> expressions

Multiple named <boolean> components can be combined to create more complex boolean expressions.

Attribute Example: symbolicEquality

<p>Enter <m>x^2 + 2x + 1</m> exactly: 
  <mathInput name="mi"/></p>
  <boolean symbolicEquality>$mi = x^2 + 2x + 1</boolean>

Comparing two values with the symbolicEquality attribute switches demands exact syntactical equality.

Attribute Example: expandOnCompare

<p>Enter <m>x^2 + 2x + 1</m> in factored form: 
  <mathInput name="mi"/></p>
  <boolean expandOnCompare symbolicEquality>$mi = x^2 + 2x + 1</boolean>

Comparing two values with the expandOnCompare and symbolicEquality attributes allows expressions that are equivalent after expanding to evaluate to true.

Attribute Example: simplifyOnCompare

<p>Enter any expression that simplifies to <m>x^2 + 2x + 1</m>: 
  <mathInput name="mi"/></p>
  <boolean simplifyOnCompare symbolicEquality>$mi = x^2 + 2x + 1</boolean>

Comparing two values with the simplifyOnCompare and symbolicEquality attributes allows expressions that are equivalent after simplifying to evaluate to true.

Attribute Example: unorderedCompare

When multiple values are compared within a single <boolean> tag, the default behavior is to match the order of the sequenced values. If order is irrelevant, use the unorderedCompare attribute.

Attribute Example: matchByExactPositions

When multiple responses are evaluated by comparison with a vector of correct values inside a <boolean>, the matchByExactPositions attribute enforces a strict order onto the validation. Only correct values in the correct answer blanks will allow the <boolean> to evaluate to true.

Attribute Example: allowedErrorInNumbers

<p>Enter a number within <m>1\%</m> of <m>100</m>: 
  <mathInput name="mi1"/></p>
  <boolean allowedErrorInNumbers="0.01">$mi1 = 100</boolean>
 
<p>Enter a number within <m>10\%</m> of <m>100</m>: 
  <mathInput name="mi2"/></p>
  <boolean allowedErrorInNumbers="0.1">$mi2 = 100</boolean>

The allowedErrorInNumbers attribute may be used to specify the acceptable error of an approximate response when comparing numerical values. By default, the error is specified as a fractional value.

Attribute Example: allowedErrorIsAbsolute

<p>Enter a number within <m>1</m> of <m>100</m>: 
  <mathInput name="mi1"/></p>
  <boolean allowedErrorInNumbers="1" allowedErrorIsAbsolute>
    $mi1 = 100
  </boolean>
 
<p>Enter a number within <m>10</m> of <m>100</m>:  
  <mathInput name="mi2"/></p>
  <boolean allowedErrorInNumbers="10" allowedErrorIsAbsolute>
    $mi2 = 100
  </boolean>

To specify an allowed error with a specific numerical value (rather than as a fraction of the correct response), use the allowedErrorIsAbsolute attribute in combination with the allowedErrorInNumbers attribute.

Attribute Example: caseInsensitiveMatch

Use the caseInsensitiveMatch attribute if capitalization is not relevant for comparison.

Attribute Example: matchBlanks

Use the matchBlanks attribute to accurately compare two expressions containing blanks.

Property Example: value

<p>Enter "1" for true, not "1" for false: </p>
      <mathInput name="mi"/>
<p><boolean name="bool">1 = $mi</boolean></p>
<p><c>value</c> = $bool.value</p>

The value property of a named <boolean> returns its value of true or false.

Property Example: text

<p>Enter "1" for true, not "1" for false: </p>
      <mathInput name="mi"/>
<p><boolean name="bool">1 = $mi</boolean></p>
<p><c>text</c> = $bool.text</p>

The text property of a named <boolean> returns the text value of true or false.

Property Example: Attributes as properties 1

The above listed attributes of a <boolean> are also available as properties.

Property Example: Attributes as properties 2

The above listed attributes of a <boolean> are also available as properties.