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| <a name="Math-Builtins"></a> |
| <h4 class="subsection">9.42.7 Math Builtins</h4> |
| |
| <a name="index-math-builtins_002c-TIC54X"></a> |
| <a name="index-TIC54X-builtin-math-functions"></a> |
| <a name="index-builtin-math-functions_002c-TIC54X"></a> |
| |
| <p>The following built-in functions may be used to generate a |
| floating-point value. All return a floating-point value except |
| ‘<samp>$cvi</samp>’, ‘<samp>$int</samp>’, and ‘<samp>$sgn</samp>’, which return an integer |
| value. |
| </p> |
| <dl compact="compact"> |
| <dd><a name="index-_0024acos-math-builtin_002c-TIC54X"></a> |
| </dd> |
| <dt><code><code>$acos(<var>expr</var>)</code></code></dt> |
| <dd><p>Returns the floating point arccosine of <var>expr</var>. |
| </p> |
| <a name="index-_0024asin-math-builtin_002c-TIC54X"></a> |
| </dd> |
| <dt><code><code>$asin(<var>expr</var>)</code></code></dt> |
| <dd><p>Returns the floating point arcsine of <var>expr</var>. |
| </p> |
| <a name="index-_0024atan-math-builtin_002c-TIC54X"></a> |
| </dd> |
| <dt><code><code>$atan(<var>expr</var>)</code></code></dt> |
| <dd><p>Returns the floating point arctangent of <var>expr</var>. |
| </p> |
| <a name="index-_0024atan2-math-builtin_002c-TIC54X"></a> |
| </dd> |
| <dt><code><code>$atan2(<var>expr1</var>,<var>expr2</var>)</code></code></dt> |
| <dd><p>Returns the floating point arctangent of <var>expr1</var> / <var>expr2</var>. |
| </p> |
| <a name="index-_0024ceil-math-builtin_002c-TIC54X"></a> |
| </dd> |
| <dt><code><code>$ceil(<var>expr</var>)</code></code></dt> |
| <dd><p>Returns the smallest integer not less than <var>expr</var> as floating point. |
| </p> |
| <a name="index-_0024cosh-math-builtin_002c-TIC54X"></a> |
| </dd> |
| <dt><code><code>$cosh(<var>expr</var>)</code></code></dt> |
| <dd><p>Returns the floating point hyperbolic cosine of <var>expr</var>. |
| </p> |
| <a name="index-_0024cos-math-builtin_002c-TIC54X"></a> |
| </dd> |
| <dt><code><code>$cos(<var>expr</var>)</code></code></dt> |
| <dd><p>Returns the floating point cosine of <var>expr</var>. |
| </p> |
| <a name="index-_0024cvf-math-builtin_002c-TIC54X"></a> |
| </dd> |
| <dt><code><code>$cvf(<var>expr</var>)</code></code></dt> |
| <dd><p>Returns the integer value <var>expr</var> converted to floating-point. |
| </p> |
| <a name="index-_0024cvi-math-builtin_002c-TIC54X"></a> |
| </dd> |
| <dt><code><code>$cvi(<var>expr</var>)</code></code></dt> |
| <dd><p>Returns the floating point value <var>expr</var> converted to integer. |
| </p> |
| <a name="index-_0024exp-math-builtin_002c-TIC54X"></a> |
| </dd> |
| <dt><code><code>$exp(<var>expr</var>)</code></code></dt> |
| <dd><p>Returns the floating point value e ^ <var>expr</var>. |
| </p> |
| <a name="index-_0024fabs-math-builtin_002c-TIC54X"></a> |
| </dd> |
| <dt><code><code>$fabs(<var>expr</var>)</code></code></dt> |
| <dd><p>Returns the floating point absolute value of <var>expr</var>. |
| </p> |
| <a name="index-_0024floor-math-builtin_002c-TIC54X"></a> |
| </dd> |
| <dt><code><code>$floor(<var>expr</var>)</code></code></dt> |
| <dd><p>Returns the largest integer that is not greater than <var>expr</var> as |
| floating point. |
| </p> |
| <a name="index-_0024fmod-math-builtin_002c-TIC54X"></a> |
| </dd> |
| <dt><code><code>$fmod(<var>expr1</var>,<var>expr2</var>)</code></code></dt> |
| <dd><p>Returns the floating point remainder of <var>expr1</var> / <var>expr2</var>. |
| </p> |
| <a name="index-_0024int-math-builtin_002c-TIC54X"></a> |
| </dd> |
| <dt><code><code>$int(<var>expr</var>)</code></code></dt> |
| <dd><p>Returns 1 if <var>expr</var> evaluates to an integer, zero otherwise. |
| </p> |
| <a name="index-_0024ldexp-math-builtin_002c-TIC54X"></a> |
| </dd> |
| <dt><code><code>$ldexp(<var>expr1</var>,<var>expr2</var>)</code></code></dt> |
| <dd><p>Returns the floating point value <var>expr1</var> * 2 ^ <var>expr2</var>. |
| </p> |
| <a name="index-_0024log10-math-builtin_002c-TIC54X"></a> |
| </dd> |
| <dt><code><code>$log10(<var>expr</var>)</code></code></dt> |
| <dd><p>Returns the base 10 logarithm of <var>expr</var>. |
| </p> |
| <a name="index-_0024log-math-builtin_002c-TIC54X"></a> |
| </dd> |
| <dt><code><code>$log(<var>expr</var>)</code></code></dt> |
| <dd><p>Returns the natural logarithm of <var>expr</var>. |
| </p> |
| <a name="index-_0024max-math-builtin_002c-TIC54X"></a> |
| </dd> |
| <dt><code><code>$max(<var>expr1</var>,<var>expr2</var>)</code></code></dt> |
| <dd><p>Returns the floating point maximum of <var>expr1</var> and <var>expr2</var>. |
| </p> |
| <a name="index-_0024min-math-builtin_002c-TIC54X"></a> |
| </dd> |
| <dt><code><code>$min(<var>expr1</var>,<var>expr2</var>)</code></code></dt> |
| <dd><p>Returns the floating point minimum of <var>expr1</var> and <var>expr2</var>. |
| </p> |
| <a name="index-_0024pow-math-builtin_002c-TIC54X"></a> |
| </dd> |
| <dt><code><code>$pow(<var>expr1</var>,<var>expr2</var>)</code></code></dt> |
| <dd><p>Returns the floating point value <var>expr1</var> ^ <var>expr2</var>. |
| </p> |
| <a name="index-_0024round-math-builtin_002c-TIC54X"></a> |
| </dd> |
| <dt><code><code>$round(<var>expr</var>)</code></code></dt> |
| <dd><p>Returns the nearest integer to <var>expr</var> as a floating point number. |
| </p> |
| <a name="index-_0024sgn-math-builtin_002c-TIC54X"></a> |
| </dd> |
| <dt><code><code>$sgn(<var>expr</var>)</code></code></dt> |
| <dd><p>Returns -1, 0, or 1 based on the sign of <var>expr</var>. |
| </p> |
| <a name="index-_0024sin-math-builtin_002c-TIC54X"></a> |
| </dd> |
| <dt><code><code>$sin(<var>expr</var>)</code></code></dt> |
| <dd><p>Returns the floating point sine of <var>expr</var>. |
| </p> |
| <a name="index-_0024sinh-math-builtin_002c-TIC54X"></a> |
| </dd> |
| <dt><code><code>$sinh(<var>expr</var>)</code></code></dt> |
| <dd><p>Returns the floating point hyperbolic sine of <var>expr</var>. |
| </p> |
| <a name="index-_0024sqrt-math-builtin_002c-TIC54X"></a> |
| </dd> |
| <dt><code><code>$sqrt(<var>expr</var>)</code></code></dt> |
| <dd><p>Returns the floating point square root of <var>expr</var>. |
| </p> |
| <a name="index-_0024tan-math-builtin_002c-TIC54X"></a> |
| </dd> |
| <dt><code><code>$tan(<var>expr</var>)</code></code></dt> |
| <dd><p>Returns the floating point tangent of <var>expr</var>. |
| </p> |
| <a name="index-_0024tanh-math-builtin_002c-TIC54X"></a> |
| </dd> |
| <dt><code><code>$tanh(<var>expr</var>)</code></code></dt> |
| <dd><p>Returns the floating point hyperbolic tangent of <var>expr</var>. |
| </p> |
| <a name="index-_0024trunc-math-builtin_002c-TIC54X"></a> |
| </dd> |
| <dt><code><code>$trunc(<var>expr</var>)</code></code></dt> |
| <dd><p>Returns the integer value of <var>expr</var> truncated towards zero as |
| floating point. |
| </p> |
| </dd> |
| </dl> |
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