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			</script><div class="MainContent"><table class="classHeaderTable" cellpadding="0" cellspacing="0"><tr><td class="classHeaderTableLabel">Package</td><td><a href="package-detail.html" onclick="javascript:loadClassListFrame('class-list.html')">fl.motion</a></td></tr><tr><td class="classHeaderTableLabel">Class</td><td class="classSignature">public  class  BezierSegment</td></tr><tr><td class="classHeaderTableLabel">Inheritance</td><td class="inheritanceList">BezierSegment  <img src="../../images/inherit-arrow.gif" title="Inheritance" alt="Inheritance" class="inheritArrow"> <a href="../../Object.html">Object</a></td></tr></table><p></p><table cellpadding="0" cellspacing="0" border="0"><tr><td style="white-space:nowrap" valign="top"><b>Language Version:&nbsp;</b></td><td>ActionScript 3.0</td></tr></table><table cellpadding="0" cellspacing="0" border="0"><tr><td style="white-space:nowrap" valign="top"><b>Runtime Versions:&nbsp;</b></td><td>AIR 1.0, Flash Player 9.0.28.0</td></tr></table><p></p><p></p><p></p>A Bezier segment consists of four Point objects that define a single cubic Bezier curve.
 The BezierSegment class also contains methods to find coordinate values along the curve.<p></p><p><span class="classHeaderTableLabel">See also</span></p><div class="seeAlso"><a href="../../motionXSD.html" target="">Motion XML Elements</a></div><br/><hr></div><a name="propertySummary"></a><div class="summarySection"><div class="summaryTableTitle">Public Properties</div><div class="showHideLinks"><div id="hideInheritedProperty" class="hideInheritedProperty"><a class="showHideLink" href="#propertySummary" onclick="javascript:setInheritedVisible(false,'Property');"><img class="showHideLinkImage" src="../../images/expanded.gif"> Hide Inherited Public Properties</a></div><div id="showInheritedProperty" class="showInheritedProperty"><a class="showHideLink" href="#propertySummary" onclick="javascript:setInheritedVisible(true,'Property');"><img class="showHideLinkImage" src="../../images/collapsed.gif"> Show Inherited Public Properties</a></div></div><table cellspacing="0" cellpadding="3" class="summaryTable " id="summaryTableProperty"><tr><th>&nbsp;</th><th colspan="2">Property</th><th>Defined By</th></tr><tr class=""><td class="summaryTablePaddingCol">&nbsp;</td><td class="summaryTableInheritanceCol">&nbsp;</td><td class="summaryTableSignatureCol"><a href="#a" class="signatureLink">a</a> : <a href="../../flash/geom/Point.html">Point</a><div class="summaryTableDescription">The first point of the Bezier curve.</div></td><td class="summaryTableOwnerCol">BezierSegment</td></tr><tr class=""><td class="summaryTablePaddingCol">&nbsp;</td><td class="summaryTableInheritanceCol">&nbsp;</td><td class="summaryTableSignatureCol"><a href="#b" class="signatureLink">b</a> : <a href="../../flash/geom/Point.html">Point</a><div class="summaryTableDescription">The second point of the Bezier curve.</div></td><td class="summaryTableOwnerCol">BezierSegment</td></tr><tr class=""><td class="summaryTablePaddingCol">&nbsp;</td><td class="summaryTableInheritanceCol">&nbsp;</td><td class="summaryTableSignatureCol"><a href="#c" class="signatureLink">c</a> : <a href="../../flash/geom/Point.html">Point</a><div class="summaryTableDescription">The third point of the Bezier curve.</div></td><td class="summaryTableOwnerCol">BezierSegment</td></tr><tr class="hideInheritedProperty"><td class="summaryTablePaddingCol">&nbsp;</td><td class="summaryTableInheritanceCol"><img src="../../images/inheritedSummary.gif" alt="Inherited" title="Inherited" class="inheritedSummaryImage"></td><td class="summaryTableSignatureCol"><a href="../../Object.html#constructor" class="signatureLink">constructor</a> : <a href="../../Object.html">Object</a><div class="summaryTableDescription">A reference to the class object or constructor function for a given object instance.</div></td><td class="summaryTableOwnerCol"><a href="../../Object.html">Object</a></td></tr><tr class=""><td class="summaryTablePaddingCol">&nbsp;</td><td class="summaryTableInheritanceCol">&nbsp;</td><td class="summaryTableSignatureCol"><a href="#d" class="signatureLink">d</a> : <a href="../../flash/geom/Point.html">Point</a><div class="summaryTableDescription">The fourth point of the Bezier curve.</div></td><td class="summaryTableOwnerCol">BezierSegment</td></tr><tr class="hideInheritedProperty"><td class="summaryTablePaddingCol">&nbsp;</td><td class="summaryTableInheritanceCol"><img src="../../images/inheritedSummary.gif" alt="Inherited" title="Inherited" class="inheritedSummaryImage"></td><td class="summaryTableSignatureCol"><a href="../../Object.html#prototype" class="signatureLink">prototype</a> : <a href="../../Object.html">Object</a><div class="summaryTableDescription">[static] A reference to the prototype object of a class or function object.</div></td><td class="summaryTableOwnerCol"><a href="../../Object.html">Object</a></td></tr></table></div><a name="methodSummary"></a><div class="summarySection"><div class="summaryTableTitle">Public Methods </div><div class="showHideLinks"><div id="hideInheritedMethod" class="hideInheritedMethod"><a class="showHideLink" href="#methodSummary" onclick="javascript:setInheritedVisible(false,'Method');"><img class="showHideLinkImage" src="../../images/expanded.gif"> Hide Inherited Public Methods</a></div><div id="showInheritedMethod" class="showInheritedMethod"><a class="showHideLink" href="#methodSummary" onclick="javascript:setInheritedVisible(true,'Method');"><img class="showHideLinkImage" src="../../images/collapsed.gif"> Show Inherited Public Methods</a></div></div><table cellspacing="0" cellpadding="3" class="summaryTable " id="summaryTableMethod"><tr><th>&nbsp;</th><th colspan="2">Method</th><th>Defined By</th></tr><tr class=""><td class="summaryTablePaddingCol">&nbsp;</td><td class="summaryTableInheritanceCol">&nbsp;</td><td class="summaryTableSignatureCol"><div class="summarySignature"><a href="#BezierSegment()" class="signatureLink">BezierSegment</a>(a:<a href="../../flash/geom/Point.html">Point</a>, b:<a href="../../flash/geom/Point.html">Point</a>, c:<a href="../../flash/geom/Point.html">Point</a>, d:<a href="../../flash/geom/Point.html">Point</a>)</div><div class="summaryTableDescription">Constructor for BezierSegment instances.</div></td><td class="summaryTableOwnerCol">BezierSegment</td></tr><tr class=""><td class="summaryTablePaddingCol">&nbsp;</td><td class="summaryTableInheritanceCol">&nbsp;</td><td class="summaryTableSignatureCol"><div class="summarySignature"><a href="#getCubicCoefficients()" class="signatureLink">getCubicCoefficients</a>(a:<a href="../../Number.html">Number</a>, b:<a href="../../Number.html">Number</a>, c:<a href="../../Number.html">Number</a>, d:<a href="../../Number.html">Number</a>):<a href="../../Array.html">Array</a></div><div class="summaryTableDescription">[static] Calculates the coefficients for a cubic polynomial equation,
     given the values of the corresponding cubic Bezier equation.</div></td><td class="summaryTableOwnerCol">BezierSegment</td></tr><tr class=""><td class="summaryTablePaddingCol">&nbsp;</td><td class="summaryTableInheritanceCol">&nbsp;</td><td class="summaryTableSignatureCol"><div class="summarySignature"><a href="#getCubicRoots()" class="signatureLink">getCubicRoots</a>(a:<a href="../../Number.html">Number</a> = 0, b:<a href="../../Number.html">Number</a> = 0, c:<a href="../../Number.html">Number</a> = 0, d:<a href="../../Number.html">Number</a> = 0):<a href="../../Array.html">Array</a></div><div class="summaryTableDescription">[static] Finds the real solutions, if they exist, to a cubic polynomial equation of the form: at^3 + bt^2 + ct + d.</div></td><td class="summaryTableOwnerCol">BezierSegment</td></tr><tr class=""><td class="summaryTablePaddingCol">&nbsp;</td><td class="summaryTableInheritanceCol">&nbsp;</td><td class="summaryTableSignatureCol"><div class="summarySignature"><a href="#getQuadraticRoots()" class="signatureLink">getQuadraticRoots</a>(a:<a href="../../Number.html">Number</a>, b:<a href="../../Number.html">Number</a>, c:<a href="../../Number.html">Number</a>):<a href="../../Array.html">Array</a></div><div class="summaryTableDescription">[static] Finds the real solutions, if they exist, to a quadratic equation of the form: at^2 + bt + c.</div></td><td class="summaryTableOwnerCol">BezierSegment</td></tr><tr class=""><td class="summaryTablePaddingCol">&nbsp;</td><td class="summaryTableInheritanceCol">&nbsp;</td><td class="summaryTableSignatureCol"><div class="summarySignature"><a href="#getSingleValue()" class="signatureLink">getSingleValue</a>(t:<a href="../../Number.html">Number</a>, a:<a href="../../Number.html">Number</a> = 0, b:<a href="../../Number.html">Number</a> = 0, c:<a href="../../Number.html">Number</a> = 0, d:<a href="../../Number.html">Number</a> = 0):<a href="../../Number.html">Number</a></div><div class="summaryTableDescription">[static] Calculates the value of a one-dimensional cubic Bezier equation at a specific time.</div></td><td class="summaryTableOwnerCol">BezierSegment</td></tr><tr class=""><td class="summaryTablePaddingCol">&nbsp;</td><td class="summaryTableInheritanceCol">&nbsp;</td><td class="summaryTableSignatureCol"><div class="summarySignature"><a href="#getValue()" class="signatureLink">getValue</a>(t:<a href="../../Number.html">Number</a>):<a href="../../flash/geom/Point.html">Point</a></div><div class="summaryTableDescription">Calculates the location of a two-dimensional cubic Bezier curve at a specific time.</div></td><td class="summaryTableOwnerCol">BezierSegment</td></tr><tr class=""><td class="summaryTablePaddingCol">&nbsp;</td><td class="summaryTableInheritanceCol">&nbsp;</td><td class="summaryTableSignatureCol"><div class="summarySignature"><a href="#getYForX()" class="signatureLink">getYForX</a>(x:<a href="../../Number.html">Number</a>, coefficients:<a href="../../Array.html">Array</a> = null):<a href="../../Number.html">Number</a></div><div class="summaryTableDescription">Finds the y value of a cubic Bezier curve at a given x coordinate.</div></td><td class="summaryTableOwnerCol">BezierSegment</td></tr><tr class="hideInheritedMethod"><td class="summaryTablePaddingCol">&nbsp;</td><td class="summaryTableInheritanceCol"><img src="../../images/inheritedSummary.gif" alt="Inherited" title="Inherited" class="inheritedSummaryImage"></td><td class="summaryTableSignatureCol"><div class="summarySignature"><a href="../../Object.html#hasOwnProperty()" class="signatureLink">hasOwnProperty</a>(name:<a href="../../String.html">String</a>):<a href="../../Boolean.html">Boolean</a></div><div class="summaryTableDescription">Indicates whether an object has a specified property defined.</div></td><td class="summaryTableOwnerCol"><a href="../../Object.html">Object</a></td></tr><tr class="hideInheritedMethod"><td class="summaryTablePaddingCol">&nbsp;</td><td class="summaryTableInheritanceCol"><img src="../../images/inheritedSummary.gif" alt="Inherited" title="Inherited" class="inheritedSummaryImage"></td><td class="summaryTableSignatureCol"><div class="summarySignature"><a href="../../Object.html#isPrototypeOf()" class="signatureLink">isPrototypeOf</a>(theClass:<a href="../../Object.html">Object</a>):<a href="../../Boolean.html">Boolean</a></div><div class="summaryTableDescription">Indicates whether an instance of the Object class is in the prototype chain of the object specified 
  as the parameter.</div></td><td class="summaryTableOwnerCol"><a href="../../Object.html">Object</a></td></tr><tr class="hideInheritedMethod"><td class="summaryTablePaddingCol">&nbsp;</td><td class="summaryTableInheritanceCol"><img src="../../images/inheritedSummary.gif" alt="Inherited" title="Inherited" class="inheritedSummaryImage"></td><td class="summaryTableSignatureCol"><div class="summarySignature"><a href="../../Object.html#propertyIsEnumerable()" class="signatureLink">propertyIsEnumerable</a>(name:<a href="../../String.html">String</a>):<a href="../../Boolean.html">Boolean</a></div><div class="summaryTableDescription">Indicates whether the specified property exists and is enumerable.</div></td><td class="summaryTableOwnerCol"><a href="../../Object.html">Object</a></td></tr><tr class="hideInheritedMethod"><td class="summaryTablePaddingCol">&nbsp;</td><td class="summaryTableInheritanceCol"><img src="../../images/inheritedSummary.gif" alt="Inherited" title="Inherited" class="inheritedSummaryImage"></td><td class="summaryTableSignatureCol"><div class="summarySignature"><a href="../../Object.html#setPropertyIsEnumerable()" class="signatureLink">setPropertyIsEnumerable</a>(name:<a href="../../String.html">String</a>, isEnum:<a href="../../Boolean.html">Boolean</a> = true):<a href="../../specialTypes.html#void">void</a></div><div class="summaryTableDescription">Sets the availability of a dynamic property for loop operations.</div></td><td class="summaryTableOwnerCol"><a href="../../Object.html">Object</a></td></tr><tr class="hideInheritedMethod"><td class="summaryTablePaddingCol">&nbsp;</td><td class="summaryTableInheritanceCol"><img src="../../images/inheritedSummary.gif" alt="Inherited" title="Inherited" class="inheritedSummaryImage"></td><td class="summaryTableSignatureCol"><div class="summarySignature"><a href="../../Object.html#toString()" class="signatureLink">toString</a>():<a href="../../String.html">String</a></div><div class="summaryTableDescription">Returns the string representation of the specified object.</div></td><td class="summaryTableOwnerCol"><a href="../../Object.html">Object</a></td></tr><tr class="hideInheritedMethod"><td class="summaryTablePaddingCol">&nbsp;</td><td class="summaryTableInheritanceCol"><img src="../../images/inheritedSummary.gif" alt="Inherited" title="Inherited" class="inheritedSummaryImage"></td><td class="summaryTableSignatureCol"><div class="summarySignature"><a href="../../Object.html#valueOf()" class="signatureLink">valueOf</a>():<a href="../../Object.html">Object</a></div><div class="summaryTableDescription">Returns the primitive value of the specified object.</div></td><td class="summaryTableOwnerCol"><a href="../../Object.html">Object</a></td></tr></table></div><script language="javascript" type="text/javascript"><!--
                      showHideInherited();
                      --></script><div class="MainContent"><div class="detailSectionHeader">Property Detail</div><a name="propertyDetail"></a><a name="a"></a><table class="detailHeader" cellpadding="0" cellspacing="0"><tr><td class="detailHeaderName">a</td><td class="detailHeaderType">property</td></tr></table><div class="detailBody"><code>public var a:<a href="../../flash/geom/Point.html">Point</a></code><p></p><table cellpadding="0" cellspacing="0" border="0"><tr><td style="white-space:nowrap" valign="top"><b>Language Version:&nbsp;</b></td><td>ActionScript 3.0</td></tr></table><table cellpadding="0" cellspacing="0" border="0"><tr><td style="white-space:nowrap" valign="top"><b>Runtime Versions:&nbsp;</b></td><td>AIR 1.0, Flash Player 9.0.28.0</td></tr></table><p></p><p></p><p>The first point of the Bezier curve.
     It is a node, which means it falls directly on the curve.</p></div><a name="propertyDetail"></a><a name="b"></a><table class="detailHeader" cellpadding="0" cellspacing="0"><tr><td class="detailHeaderName">b</td><td class="detailHeaderType">property</td><td class="detailHeaderRule">&nbsp;</td></tr></table><div class="detailBody"><code>public var b:<a href="../../flash/geom/Point.html">Point</a></code><p></p><table cellpadding="0" cellspacing="0" border="0"><tr><td style="white-space:nowrap" valign="top"><b>Language Version:&nbsp;</b></td><td>ActionScript 3.0</td></tr></table><table cellpadding="0" cellspacing="0" border="0"><tr><td style="white-space:nowrap" valign="top"><b>Runtime Versions:&nbsp;</b></td><td>AIR 1.0, Flash Player 9.0.28.0</td></tr></table><p></p><p></p><p>The second point of the Bezier curve. 
     It is a control point, which means the curve moves toward it,
     but usually does not pass through it.</p></div><a name="propertyDetail"></a><a name="c"></a><table class="detailHeader" cellpadding="0" cellspacing="0"><tr><td class="detailHeaderName">c</td><td class="detailHeaderType">property</td><td class="detailHeaderRule">&nbsp;</td></tr></table><div class="detailBody"><code>public var c:<a href="../../flash/geom/Point.html">Point</a></code><p></p><table cellpadding="0" cellspacing="0" border="0"><tr><td style="white-space:nowrap" valign="top"><b>Language Version:&nbsp;</b></td><td>ActionScript 3.0</td></tr></table><table cellpadding="0" cellspacing="0" border="0"><tr><td style="white-space:nowrap" valign="top"><b>Runtime Versions:&nbsp;</b></td><td>AIR 1.0, Flash Player 9.0.28.0</td></tr></table><p></p><p></p><p>The third point of the Bezier curve. 
     It is a control point, which means the curve moves toward it,
     but usually does not pass through it.</p></div><a name="propertyDetail"></a><a name="d"></a><table class="detailHeader" cellpadding="0" cellspacing="0"><tr><td class="detailHeaderName">d</td><td class="detailHeaderType">property</td><td class="detailHeaderRule">&nbsp;</td></tr></table><div class="detailBody"><code>public var d:<a href="../../flash/geom/Point.html">Point</a></code><p></p><table cellpadding="0" cellspacing="0" border="0"><tr><td style="white-space:nowrap" valign="top"><b>Language Version:&nbsp;</b></td><td>ActionScript 3.0</td></tr></table><table cellpadding="0" cellspacing="0" border="0"><tr><td style="white-space:nowrap" valign="top"><b>Runtime Versions:&nbsp;</b></td><td>AIR 1.0, Flash Player 9.0.28.0</td></tr></table><p></p><p></p><p>The fourth point of the Bezier curve.
     It is a node, which means it falls directly on the curve.</p></div><a name="constructorDetail"></a><div class="detailSectionHeader">Constructor Detail</div><a name="BezierSegment()"></a><a name="BezierSegment(flash.geom.Point,flash.geom.Point,flash.geom.Point,flash.geom.Point)"></a><table class="detailHeader" cellpadding="0" cellspacing="0"><tr><td class="detailHeaderName">BezierSegment</td><td class="detailHeaderParens">()</td><td class="detailHeaderType">Constructor</td></tr></table><div class="detailBody"><code>public function BezierSegment(a:<a href="../../flash/geom/Point.html">Point</a>, b:<a href="../../flash/geom/Point.html">Point</a>, c:<a href="../../flash/geom/Point.html">Point</a>, d:<a href="../../flash/geom/Point.html">Point</a>)</code><p></p><table cellpadding="0" cellspacing="0" border="0"><tr><td style="white-space:nowrap" valign="top"><b>Language Version:&nbsp;</b></td><td>ActionScript 3.0</td></tr></table><table cellpadding="0" cellspacing="0" border="0"><tr><td style="white-space:nowrap" valign="top"><b>Runtime Versions:&nbsp;</b></td><td>AIR 1.0, Flash Player 9.0.28.0</td></tr></table><p></p><p>Constructor for BezierSegment instances.</p><span class="label"> Parameters </span><table cellpadding="0" cellspacing="0" border="0"><tr><td width="20px"></td><td><code><span class="label">a</span>:<a href="../../flash/geom/Point.html">Point</a></code> &mdash; The first point of the curve, a node.</td></tr><tr><td class="paramSpacer">&nbsp;</td></tr><tr><td width="20px"></td><td><code><span class="label">b</span>:<a href="../../flash/geom/Point.html">Point</a></code> &mdash; The second point of the curve, a control point.</td></tr><tr><td class="paramSpacer">&nbsp;</td></tr><tr><td width="20px"></td><td><code><span class="label">c</span>:<a href="../../flash/geom/Point.html">Point</a></code> &mdash; The third point of the curve, a control point.</td></tr><tr><td class="paramSpacer">&nbsp;</td></tr><tr><td width="20px"></td><td><code><span class="label">d</span>:<a href="../../flash/geom/Point.html">Point</a></code> &mdash; The fourth point of the curve, a node.</td></tr></table><p><span class="label">See also</span></p><div class="seeAlso"><a href="BezierSegment.html#propertyDetail" target="">property details</a></div></div><a name="methodDetail"></a><div class="detailSectionHeader">Method Detail</div><a name="getCubicCoefficients()"></a><a name="getCubicCoefficients(Number,Number,Number,Number)"></a><table class="detailHeader" cellpadding="0" cellspacing="0"><tr><td class="detailHeaderName">getCubicCoefficients</td><td class="detailHeaderParens">()</td><td class="detailHeaderType">method</td></tr></table><div class="detailBody"><code> public static function getCubicCoefficients(a:<a href="../../Number.html">Number</a>, b:<a href="../../Number.html">Number</a>, c:<a href="../../Number.html">Number</a>, d:<a href="../../Number.html">Number</a>):<a href="../../Array.html">Array</a></code><p></p><table cellpadding="0" cellspacing="0" border="0"><tr><td style="white-space:nowrap" valign="top"><b>Language Version:&nbsp;</b></td><td>ActionScript 3.0</td></tr></table><table cellpadding="0" cellspacing="0" border="0"><tr><td style="white-space:nowrap" valign="top"><b>Runtime Versions:&nbsp;</b></td><td>AIR 1.0, Flash Player 9.0.28.0</td></tr></table><p></p><p></p><p>Calculates the coefficients for a cubic polynomial equation,
     given the values of the corresponding cubic Bezier equation.</p><p><span class="label"> Parameters </span><table cellpadding="0" cellspacing="0" border="0"><tr><td width="20px"></td><td><code><span class="label">a</span>:<a href="../../Number.html">Number</a></code> &mdash; The first value of the Bezier equation.</td></tr><tr><td class="paramSpacer">&nbsp;</td></tr><tr><td width="20px"></td><td><code><span class="label">b</span>:<a href="../../Number.html">Number</a></code> &mdash; The second value of the Bezier equation.</td></tr><tr><td class="paramSpacer">&nbsp;</td></tr><tr><td width="20px"></td><td><code><span class="label">c</span>:<a href="../../Number.html">Number</a></code> &mdash; The third value of the Bezier equation.</td></tr><tr><td class="paramSpacer">&nbsp;</td></tr><tr><td width="20px"></td><td><code><span class="label">d</span>:<a href="../../Number.html">Number</a></code> &mdash; The fourth value of the Bezier equation.</td></tr></table></p><p></p><span class="label">Returns</span><table cellpadding="0" cellspacing="0" border="0"><tr><td width="20"></td><td><code><a href="../../Array.html">Array</a></code> &mdash; An array containing four number values,
     which are the coefficients for a cubic polynomial.
     The coefficients are ordered from the highest degree to the lowest,
     so the first number in the array would be multiplied by t^3, the second by t^2, and so on.</td></tr></table><p><span class="label">See also</span></p><div class="seeAlso"><a href="BezierSegment.html#getCubicRoots()" target="">getCubicRoots()</a></div></div><a name="getCubicRoots()"></a><a name="getCubicRoots(Number,Number,Number,Number)"></a><table class="detailHeader" cellpadding="0" cellspacing="0"><tr><td class="detailHeaderName">getCubicRoots</td><td class="detailHeaderParens">()</td><td class="detailHeaderType">method</td><td class="detailHeaderRule">&nbsp;</td></tr></table><div class="detailBody"><code> public static function getCubicRoots(a:<a href="../../Number.html">Number</a> = 0, b:<a href="../../Number.html">Number</a> = 0, c:<a href="../../Number.html">Number</a> = 0, d:<a href="../../Number.html">Number</a> = 0):<a href="../../Array.html">Array</a></code><p></p><table cellpadding="0" cellspacing="0" border="0"><tr><td style="white-space:nowrap" valign="top"><b>Language Version:&nbsp;</b></td><td>ActionScript 3.0</td></tr></table><table cellpadding="0" cellspacing="0" border="0"><tr><td style="white-space:nowrap" valign="top"><b>Runtime Versions:&nbsp;</b></td><td>AIR 1.0, Flash Player 9.0.28.0</td></tr></table><p></p><p></p><p>Finds the real solutions, if they exist, to a cubic polynomial equation of the form: at^3 + bt^2 + ct + d.
     This method is used to evaluate custom easing curves.</p><p><span class="label"> Parameters </span><table cellpadding="0" cellspacing="0" border="0"><tr><td width="20px"></td><td><code><span class="label">a</span>:<a href="../../Number.html">Number</a></code> (default = <code>0</code>)<code></code> &mdash; The first coefficient of the cubic equation, which is multiplied by the cubed variable (t^3).</td></tr><tr><td class="paramSpacer">&nbsp;</td></tr><tr><td width="20px"></td><td><code><span class="label">b</span>:<a href="../../Number.html">Number</a></code> (default = <code>0</code>)<code></code> &mdash; The second coefficient of the cubic equation, which is multiplied by the squared variable (t^2).</td></tr><tr><td class="paramSpacer">&nbsp;</td></tr><tr><td width="20px"></td><td><code><span class="label">c</span>:<a href="../../Number.html">Number</a></code> (default = <code>0</code>)<code></code> &mdash; The third coefficient of the cubic equation, which is multiplied by the linear variable (t).</td></tr><tr><td class="paramSpacer">&nbsp;</td></tr><tr><td width="20px"></td><td><code><span class="label">d</span>:<a href="../../Number.html">Number</a></code> (default = <code>0</code>)<code></code> &mdash; The fourth coefficient of the cubic equation, which is the constant.</td></tr></table></p><p></p><span class="label">Returns</span><table cellpadding="0" cellspacing="0" border="0"><tr><td width="20"></td><td><code><a href="../../Array.html">Array</a></code> &mdash; An array of number values, indicating the real roots of the equation. 
     There may be no roots, or as many as three. 
     Imaginary or complex roots are ignored.</td></tr></table></div><a name="getQuadraticRoots()"></a><a name="getQuadraticRoots(Number,Number,Number)"></a><table class="detailHeader" cellpadding="0" cellspacing="0"><tr><td class="detailHeaderName">getQuadraticRoots</td><td class="detailHeaderParens">()</td><td class="detailHeaderType">method</td><td class="detailHeaderRule">&nbsp;</td></tr></table><div class="detailBody"><code> public static function getQuadraticRoots(a:<a href="../../Number.html">Number</a>, b:<a href="../../Number.html">Number</a>, c:<a href="../../Number.html">Number</a>):<a href="../../Array.html">Array</a></code><p></p><table cellpadding="0" cellspacing="0" border="0"><tr><td style="white-space:nowrap" valign="top"><b>Language Version:&nbsp;</b></td><td>ActionScript 3.0</td></tr></table><table cellpadding="0" cellspacing="0" border="0"><tr><td style="white-space:nowrap" valign="top"><b>Runtime Versions:&nbsp;</b></td><td>AIR 1.0, Flash Player 9.0.28.0</td></tr></table><p></p><p></p><p>Finds the real solutions, if they exist, to a quadratic equation of the form: at^2 + bt + c.</p><p><span class="label"> Parameters </span><table cellpadding="0" cellspacing="0" border="0"><tr><td width="20px"></td><td><code><span class="label">a</span>:<a href="../../Number.html">Number</a></code> &mdash; The first coefficient of the quadratic equation, which is multiplied by the squared variable (t^2).</td></tr><tr><td class="paramSpacer">&nbsp;</td></tr><tr><td width="20px"></td><td><code><span class="label">b</span>:<a href="../../Number.html">Number</a></code> &mdash; The second coefficient of the quadratic equation, which is multiplied by the linear variable (t).</td></tr><tr><td class="paramSpacer">&nbsp;</td></tr><tr><td width="20px"></td><td><code><span class="label">c</span>:<a href="../../Number.html">Number</a></code> &mdash; The third coefficient of the quadratic equation, which is the constant.</td></tr></table></p><p></p><span class="label">Returns</span><table cellpadding="0" cellspacing="0" border="0"><tr><td width="20"></td><td><code><a href="../../Array.html">Array</a></code> &mdash; An array of number values, indicating the real roots of the equation. 
     There may be no roots, or as many as two. 
     Imaginary or complex roots are ignored.</td></tr></table></div><a name="getSingleValue()"></a><a name="getSingleValue(Number,Number,Number,Number,Number)"></a><table class="detailHeader" cellpadding="0" cellspacing="0"><tr><td class="detailHeaderName">getSingleValue</td><td class="detailHeaderParens">()</td><td class="detailHeaderType">method</td><td class="detailHeaderRule">&nbsp;</td></tr></table><div class="detailBody"><code> public static function getSingleValue(t:<a href="../../Number.html">Number</a>, a:<a href="../../Number.html">Number</a> = 0, b:<a href="../../Number.html">Number</a> = 0, c:<a href="../../Number.html">Number</a> = 0, d:<a href="../../Number.html">Number</a> = 0):<a href="../../Number.html">Number</a></code><p></p><table cellpadding="0" cellspacing="0" border="0"><tr><td style="white-space:nowrap" valign="top"><b>Language Version:&nbsp;</b></td><td>ActionScript 3.0</td></tr></table><table cellpadding="0" cellspacing="0" border="0"><tr><td style="white-space:nowrap" valign="top"><b>Runtime Versions:&nbsp;</b></td><td>AIR 1.0, Flash Player 9.0.28.0</td></tr></table><p></p><p></p><p>Calculates the value of a one-dimensional cubic Bezier equation at a specific time.
     By contrast, a Bezier curve is usually two-dimensional 
     and uses two of these equations, one for the x coordinate and one for the y coordinate.</p><p><span class="label"> Parameters </span><table cellpadding="0" cellspacing="0" border="0"><tr><td width="20px"></td><td><code><span class="label">t</span>:<a href="../../Number.html">Number</a></code> &mdash; 
              The
              <code>time</code>
              or degree of progress along the curve, as a decimal value between
              <code>0</code>
              and
              <code>1</code>
              .
              <p>
                <b>Note:</b>
                The
                <code>t</code>
                parameter does not necessarily move along the curve at a uniform speed. For example, a
                <code>t</code>
                value of
                <code>0.5</code>
                does not always produce a value halfway along the curve.
              </p>
              
            </td></tr><tr><td class="paramSpacer">&nbsp;</td></tr><tr><td width="20px"></td><td><code><span class="label">a</span>:<a href="../../Number.html">Number</a></code> (default = <code>0</code>)<code></code> &mdash; The first value of the Bezier equation.</td></tr><tr><td class="paramSpacer">&nbsp;</td></tr><tr><td width="20px"></td><td><code><span class="label">b</span>:<a href="../../Number.html">Number</a></code> (default = <code>0</code>)<code></code> &mdash; The second value of the Bezier equation.</td></tr><tr><td class="paramSpacer">&nbsp;</td></tr><tr><td width="20px"></td><td><code><span class="label">c</span>:<a href="../../Number.html">Number</a></code> (default = <code>0</code>)<code></code> &mdash; The third value of the Bezier equation.</td></tr><tr><td class="paramSpacer">&nbsp;</td></tr><tr><td width="20px"></td><td><code><span class="label">d</span>:<a href="../../Number.html">Number</a></code> (default = <code>0</code>)<code></code> &mdash; The fourth value of the Bezier equation.</td></tr></table></p><p></p><span class="label">Returns</span><table cellpadding="0" cellspacing="0" border="0"><tr><td width="20"></td><td><code><a href="../../Number.html">Number</a></code> &mdash; The value of the Bezier equation at the specified time.</td></tr></table></div><a name="getValue()"></a><a name="getValue(Number)"></a><table class="detailHeader" cellpadding="0" cellspacing="0"><tr><td class="detailHeaderName">getValue</td><td class="detailHeaderParens">()</td><td class="detailHeaderType">method</td><td class="detailHeaderRule">&nbsp;</td></tr></table><div class="detailBody"><code> public function getValue(t:<a href="../../Number.html">Number</a>):<a href="../../flash/geom/Point.html">Point</a></code><p></p><table cellpadding="0" cellspacing="0" border="0"><tr><td style="white-space:nowrap" valign="top"><b>Language Version:&nbsp;</b></td><td>ActionScript 3.0</td></tr></table><table cellpadding="0" cellspacing="0" border="0"><tr><td style="white-space:nowrap" valign="top"><b>Runtime Versions:&nbsp;</b></td><td>AIR 1.0, Flash Player 9.0.28.0</td></tr></table><p></p><p></p><p>Calculates the location of a two-dimensional cubic Bezier curve at a specific time.</p><p><span class="label"> Parameters </span><table cellpadding="0" cellspacing="0" border="0"><tr><td width="20px"></td><td><code><span class="label">t</span>:<a href="../../Number.html">Number</a></code> &mdash; 
              The
              <code>time</code>
              or degree of progress along the curve, as a decimal value between
              <code>0</code>
              and
              <code>1</code>
              .
              <p>
                <b>Note:</b>
                The
                <code>t</code>
                parameter does not necessarily move along the curve at a uniform speed. For example, a
                <code>t</code>
                value of
                <code>0.5</code>
                does not always produce a value halfway along the curve.
              </p>
              
            </td></tr></table></p><p></p><span class="label">Returns</span><table cellpadding="0" cellspacing="0" border="0"><tr><td width="20"></td><td><code><a href="../../flash/geom/Point.html">Point</a></code> &mdash; A point object containing the x and y coordinates of the Bezier curve at the specified time.</td></tr></table></div><a name="getYForX()"></a><a name="getYForX(Number,Array)"></a><table class="detailHeader" cellpadding="0" cellspacing="0"><tr><td class="detailHeaderName">getYForX</td><td class="detailHeaderParens">()</td><td class="detailHeaderType">method</td><td class="detailHeaderRule">&nbsp;</td></tr></table><div class="detailBody"><code> public function getYForX(x:<a href="../../Number.html">Number</a>, coefficients:<a href="../../Array.html">Array</a> = null):<a href="../../Number.html">Number</a></code><p></p><table cellpadding="0" cellspacing="0" border="0"><tr><td style="white-space:nowrap" valign="top"><b>Language Version:&nbsp;</b></td><td>ActionScript 3.0</td></tr></table><table cellpadding="0" cellspacing="0" border="0"><tr><td style="white-space:nowrap" valign="top"><b>Runtime Versions:&nbsp;</b></td><td>AIR 1.0, Flash Player 9.0.28.0</td></tr></table><p></p><p></p><p>
          Finds the
          <code>y</code>
          value of a cubic Bezier curve at a given x coordinate.
     Some Bezier curves overlap themselves horizontally, 
     resulting in more than one
          <code>y</code>
          value for a given
          <code>x</code>
          value.
     In that case, this method will return whichever value is most logical.
     
     Used by CustomEase and BezierEase interpolation.
        </p><p><span class="label"> Parameters </span><table cellpadding="0" cellspacing="0" border="0"><tr><td width="20px"></td><td><code><span class="label">x</span>:<a href="../../Number.html">Number</a></code> &mdash; An x coordinate that lies between the first and last point, inclusive.</td></tr><tr><td class="paramSpacer">&nbsp;</td></tr><tr><td width="20px"></td><td><code><span class="label">coefficients</span>:<a href="../../Array.html">Array</a></code> (default = <code>null</code>)<code></code> &mdash; An optional array of number values that represent the polynomial
     coefficients for the Bezier. This array can be used to optimize performance by precalculating 
     values that are the same everywhere on the curve and do not need to be recalculated for each iteration.</td></tr></table></p><p></p><span class="label">Returns</span><table cellpadding="0" cellspacing="0" border="0"><tr><td width="20"></td><td><code><a href="../../Number.html">Number</a></code> &mdash; 
              The
              <code>y</code>
              value of the cubic Bezier curve at the given x coordinate.
            </td></tr></table></div><br/><br/><hr><br/><p></p><center class="copyright"> &copy; 2004-2008 Adobe Systems Incorporated. All rights reserved. <br/>Thu Oct 30 2008, 07:08 PM -07:00  </center><div style="display:none">BezierSegment BezierSegment BezierSegment BezierSegment BezierSegment BezierSegment BezierSegment BezierSegment BezierSegment BezierSegment BezierSegment BezierSegment BezierSegment BezierSegment BezierSegment BezierSegment BezierSegment BezierSegment BezierSegment BezierSegment BezierSegment BezierSegment BezierSegment BezierSegment BezierSegment BezierSegment BezierSegment BezierSegment BezierSegment BezierSegment BezierSegment BezierSegment BezierSegment BezierSegment BezierSegment BezierSegment BezierSegment BezierSegment BezierSegment BezierSegment BezierSegment BezierSegment BezierSegment BezierSegment BezierSegment BezierSegment BezierSegment BezierSegment BezierSegment BezierSegment BezierSegment BezierSegment BezierSegment BezierSegment BezierSegment BezierSegment BezierSegment BezierSegment BezierSegment BezierSegment BezierSegment BezierSegment BezierSegment BezierSegment 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BezierSegment BezierSegment BezierSegment BezierSegment BezierSegment BezierSegment BezierSegment BezierSegment BezierSegment BezierSegment </div><div style="display:none">fl.motion.BezierSegment fl.motion.BezierSegment fl.motion.BezierSegment fl.motion.BezierSegment fl.motion.BezierSegment fl.motion.BezierSegment fl.motion.BezierSegment fl.motion.BezierSegment fl.motion.BezierSegment fl.motion.BezierSegment fl.motion.BezierSegment fl.motion.BezierSegment fl.motion.BezierSegment fl.motion.BezierSegment fl.motion.BezierSegment fl.motion.BezierSegment fl.motion.BezierSegment fl.motion.BezierSegment fl.motion.BezierSegment fl.motion.BezierSegment fl.motion.BezierSegment fl.motion.BezierSegment fl.motion.BezierSegment fl.motion.BezierSegment fl.motion.BezierSegment fl.motion.BezierSegment fl.motion.BezierSegment fl.motion.BezierSegment fl.motion.BezierSegment fl.motion.BezierSegment fl.motion.BezierSegment fl.motion.BezierSegment fl.motion.BezierSegment fl.motion.BezierSegment 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