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<div id=Content><div class="CSection"><div class=CTopic id=MainTopic><h1 class=CTitle><a name="Matrix"></a>Matrix</h1><div class=CBody><p>Group: Affine Matrix</p><!--START_ND_SUMMARY--><div class=Summary><div class=STitle>Summary</div><div class=SBorder><table border=0 cellspacing=0 cellpadding=0 class=STable><tr class="SMain"><td class=SEntry><a href="#Matrix" >Matrix</a></td><td class=SDescription>Group: Affine Matrix</td></tr><tr class="SGroup SIndent1"><td class=SEntry><a href="#Functions" >Functions</a></td><td class=SDescription></td></tr><tr class="SFunction SIndent2 SMarked"><td class=SEntry><a href="#gdAffineApplyToPointF" id=link1 onMouseOver="ShowTip(event, 'tt1', 'link1')" onMouseOut="HideTip('tt1')">gdAffineApplyToPointF</a></td><td class=SDescription>Applies an affine transformation to a point (floating point gdPointF)</td></tr><tr class="SFunction SIndent2"><td class=SEntry><a href="#gdAffineInvert" id=link2 onMouseOver="ShowTip(event, 'tt2', 'link2')" onMouseOut="HideTip('tt2')">gdAffineInvert</a></td><td class=SDescription>Find the inverse of an affine transformation.</td></tr><tr class="SFunction SIndent2 SMarked"><td class=SEntry><a href="#gdAffineFlip" id=link3 onMouseOver="ShowTip(event, 'tt3', 'link3')" onMouseOut="HideTip('tt3')">gdAffineFlip</a></td><td class=SDescription>Flip an affine transformation horizontally or vertically.</td></tr><tr class="SFunction SIndent2"><td class=SEntry><a href="#gdAffineConcat" id=link4 onMouseOver="ShowTip(event, 'tt4', 'link4')" onMouseOut="HideTip('tt4')">gdAffineConcat</a></td><td class=SDescription>Concat (Multiply) two affine transformation matrices.</td></tr><tr class="SFunction SIndent2 SMarked"><td class=SEntry><a href="#gdAffineIdentity" id=link5 onMouseOver="ShowTip(event, 'tt5', 'link5')" onMouseOut="HideTip('tt5')">gdAffineIdentity</a></td><td class=SDescription>Set up the identity matrix.</td></tr><tr class="SFunction SIndent2"><td class=SEntry><a href="#gdAffineScale" id=link6 onMouseOver="ShowTip(event, 'tt6', 'link6')" onMouseOut="HideTip('tt6')">gdAffineScale</a></td><td class=SDescription>Set up a scaling matrix.</td></tr><tr class="SFunction SIndent2 SMarked"><td class=SEntry><a href="#gdAffineRotate" id=link7 onMouseOver="ShowTip(event, 'tt7', 'link7')" onMouseOut="HideTip('tt7')">gdAffineRotate</a></td><td class=SDescription>Set up a rotation affine transform.</td></tr><tr class="SFunction SIndent2"><td class=SEntry><a href="#gdAffineShearHorizontal" id=link8 onMouseOver="ShowTip(event, 'tt8', 'link8')" onMouseOut="HideTip('tt8')">gdAffineShearHorizontal</a></td><td class=SDescription>Set up a horizontal shearing matrix || becomes \\.</td></tr><tr class="SFunction SIndent2 SMarked"><td class=SEntry><a href="#gdAffineShearVertical" id=link9 onMouseOver="ShowTip(event, 'tt9', 'link9')" onMouseOut="HideTip('tt9')">gdAffineShearVertical</a></td><td class=SDescription>Set up a vertical shearing matrix, columns are untouched.</td></tr><tr class="SFunction SIndent2"><td class=SEntry><a href="#gdAffineTranslate" id=link10 onMouseOver="ShowTip(event, 'tt10', 'link10')" onMouseOut="HideTip('tt10')">gdAffineTranslate</a></td><td class=SDescription>Set up a translation matrix.</td></tr><tr class="SFunction SIndent2 SMarked"><td class=SEntry><a href="#gdAffineRectilinear" id=link11 onMouseOver="ShowTip(event, 'tt11', 'link11')" onMouseOut="HideTip('tt11')">gdAffineRectilinear</a></td><td class=SDescription>Determines whether the affine transformation is axis aligned. </td></tr><tr class="SFunction SIndent2"><td class=SEntry><a href="#gdAffineEqual" id=link12 onMouseOver="ShowTip(event, 'tt12', 'link12')" onMouseOut="HideTip('tt12')">gdAffineEqual</a></td><td class=SDescription>Determines whether two affine transformations are equal. </td></tr></table></div></div><!--END_ND_SUMMARY--></div></div></div>
<div class="CGroup"><div class=CTopic><h3 class=CTitle><a name="Functions"></a>Functions</h3></div></div>
<div class="CFunction"><div class=CTopic><h3 class=CTitle><a name="gdAffineApplyToPointF"></a>gdAffineApplyToPointF</h3><div class=CBody><blockquote><table border=0 cellspacing=0 cellpadding=0 class="Prototype"><tr><td><table border=0 cellspacing=0 cellpadding=0><tr><td class="PBeforeParameters prettyprint "nowrap>int gdAffineApplyToPointF (</td><td class="PTypePrefix prettyprint " nowrap></td><td class="PType prettyprint " nowrap>gdPointFPtr </td><td class="PParameter prettyprint " nowrap>dst,</td></tr><tr><td></td><td class="PTypePrefix prettyprint " nowrap>const </td><td class="PType prettyprint " nowrap>gdPointFPtr </td><td class="PParameter prettyprint " nowrap>src,</td></tr><tr><td></td><td class="PTypePrefix prettyprint " nowrap>const </td><td class="PType prettyprint " nowrap>double </td><td class="PParameter prettyprint " nowrap>affine[6]</td><td class="PAfterParameters prettyprint "nowrap>)</td></tr></table></td></tr></table></blockquote><p>Applies an affine transformation to a point (floating point gdPointF)</p><h4 class=CHeading>Parameters</h4><table border=0 cellspacing=0 cellpadding=0 class=CDescriptionList><tr><td class=CDLEntry>dst</td><td class=CDLDescription>Where to store the resulting point</td></tr><tr><td class=CDLEntry>affine</td><td class=CDLDescription>Source Point</td></tr><tr><td class=CDLEntry>flip_horz</td><td class=CDLDescription>affine matrix</td></tr></table><h4 class=CHeading>Returns</h4><p>GD_TRUE if the affine is rectilinear or GD_FALSE</p></div></div></div>
<div class="CFunction"><div class=CTopic><h3 class=CTitle><a name="gdAffineInvert"></a>gdAffineInvert</h3><div class=CBody><blockquote><table border=0 cellspacing=0 cellpadding=0 class="Prototype"><tr><td><table border=0 cellspacing=0 cellpadding=0><tr><td class="PBeforeParameters prettyprint "nowrap>int gdAffineInvert (</td><td class="PTypePrefix prettyprint " nowrap></td><td class="PType prettyprint " nowrap>double </td><td class="PParameter prettyprint " nowrap>dst[6],</td></tr><tr><td></td><td class="PTypePrefix prettyprint " nowrap>const </td><td class="PType prettyprint " nowrap>double </td><td class="PParameter prettyprint " nowrap>src[6]</td><td class="PAfterParameters prettyprint "nowrap>)</td></tr></table></td></tr></table></blockquote><p>Find the inverse of an affine transformation.</p><p>All non-degenerate affine transforms are invertible. Applying the inverted matrix will restore the original values. Multiplying <src> by <dst> (commutative) will return the identity affine (rounding error possible).</p><h4 class=CHeading>Parameters</h4><table border=0 cellspacing=0 cellpadding=0 class=CDescriptionList><tr><td class=CDLEntry>dst</td><td class=CDLDescription>Where to store the resulting affine transform</td></tr><tr><td class=CDLEntry>src_affine</td><td class=CDLDescription>Original affine matrix</td></tr><tr><td class=CDLEntry>flip_horz</td><td class=CDLDescription>Whether or not to flip horizontally</td></tr><tr><td class=CDLEntry>flip_vert</td><td class=CDLDescription>Whether or not to flip vertically</td></tr></table><h4 class=CHeading>See also</h4><p><a href="#gdAffineIdentity" class=LFunction id=link13 onMouseOver="ShowTip(event, 'tt5', 'link13')" onMouseOut="HideTip('tt5')">gdAffineIdentity</a></p><h4 class=CHeading>Returns</h4><p>GD_TRUE if the affine is rectilinear or GD_FALSE</p></div></div></div>
<div class="CFunction"><div class=CTopic><h3 class=CTitle><a name="gdAffineFlip"></a>gdAffineFlip</h3><div class=CBody><blockquote><table border=0 cellspacing=0 cellpadding=0 class="Prototype"><tr><td><table border=0 cellspacing=0 cellpadding=0><tr><td class="PBeforeParameters prettyprint "nowrap>int gdAffineFlip (</td><td class="PTypePrefix prettyprint " nowrap></td><td class="PType prettyprint " nowrap>double </td><td class="PParameter prettyprint " nowrap>dst[6],</td></tr><tr><td></td><td class="PTypePrefix prettyprint " nowrap>const </td><td class="PType prettyprint " nowrap>double </td><td class="PParameter prettyprint " nowrap>src[6],</td></tr><tr><td></td><td class="PTypePrefix prettyprint " nowrap>const </td><td class="PType prettyprint " nowrap>int </td><td class="PParameter prettyprint " nowrap>flip_h,</td></tr><tr><td></td><td class="PTypePrefix prettyprint " nowrap>const </td><td class="PType prettyprint " nowrap>int </td><td class="PParameter prettyprint " nowrap>flip_v</td><td class="PAfterParameters prettyprint "nowrap>)</td></tr></table></td></tr></table></blockquote><p>Flip an affine transformation horizontally or vertically.</p><p>Flips the affine transform, giving GD_FALSE for <flip_horz> and <flip_vert> will clone the affine matrix. GD_TRUE for both will copy a 180° rotation.</p><h4 class=CHeading>Parameters</h4><table border=0 cellspacing=0 cellpadding=0 class=CDescriptionList><tr><td class=CDLEntry>dst</td><td class=CDLDescription>Where to store the resulting affine transform</td></tr><tr><td class=CDLEntry>src_affine</td><td class=CDLDescription>Original affine matrix</td></tr><tr><td class=CDLEntry>flip_h</td><td class=CDLDescription>Whether or not to flip horizontally</td></tr><tr><td class=CDLEntry>flip_v</td><td class=CDLDescription>Whether or not to flip vertically</td></tr></table><h4 class=CHeading>Returns</h4><p>GD_TRUE on success or GD_FALSE</p></div></div></div>
<div class="CFunction"><div class=CTopic><h3 class=CTitle><a name="gdAffineConcat"></a>gdAffineConcat</h3><div class=CBody><blockquote><table border=0 cellspacing=0 cellpadding=0 class="Prototype"><tr><td><table border=0 cellspacing=0 cellpadding=0><tr><td class="PBeforeParameters prettyprint "nowrap>int gdAffineConcat (</td><td class="PTypePrefix prettyprint " nowrap></td><td class="PType prettyprint " nowrap>double </td><td class="PParameter prettyprint " nowrap>dst[6],</td></tr><tr><td></td><td class="PTypePrefix prettyprint " nowrap>const </td><td class="PType prettyprint " nowrap>double </td><td class="PParameter prettyprint " nowrap>m1[6],</td></tr><tr><td></td><td class="PTypePrefix prettyprint " nowrap>const </td><td class="PType prettyprint " nowrap>double </td><td class="PParameter prettyprint " nowrap>m2[6]</td><td class="PAfterParameters prettyprint "nowrap>)</td></tr></table></td></tr></table></blockquote><p>Concat (Multiply) two affine transformation matrices.</p><p>Concats two affine transforms together, i.e. the result will be the equivalent of doing first the transformation m1 and then m2. All parameters can be the same matrix (safe to call using the same array for all three arguments).</p><h4 class=CHeading>Parameters</h4><table border=0 cellspacing=0 cellpadding=0 class=CDescriptionList><tr><td class=CDLEntry>dst</td><td class=CDLDescription>Where to store the resulting affine transform</td></tr><tr><td class=CDLEntry>m1</td><td class=CDLDescription>First affine matrix</td></tr><tr><td class=CDLEntry>m2</td><td class=CDLDescription>Second affine matrix</td></tr></table><h4 class=CHeading>Returns</h4><p>GD_TRUE on success or GD_FALSE</p></div></div></div>
<div class="CFunction"><div class=CTopic><h3 class=CTitle><a name="gdAffineIdentity"></a>gdAffineIdentity</h3><div class=CBody><blockquote><table border=0 cellspacing=0 cellpadding=0 class="Prototype"><tr><td><table border=0 cellspacing=0 cellpadding=0><tr><td class="PBeforeParameters prettyprint "nowrap>int gdAffineIdentity (</td><td class="PType prettyprint " nowrap>double </td><td class="PParameter prettyprint " nowrap>dst[6]</td><td class="PAfterParameters prettyprint "nowrap>)</td></tr></table></td></tr></table></blockquote><p>Set up the identity matrix.</p><h4 class=CHeading>Parameters</h4><table border=0 cellspacing=0 cellpadding=0 class=CDescriptionList><tr><td class=CDLEntry>dst</td><td class=CDLDescription>Where to store the resulting affine transform</td></tr></table><h4 class=CHeading>Returns</h4><p>GD_TRUE on success or GD_FALSE</p></div></div></div>
<div class="CFunction"><div class=CTopic><h3 class=CTitle><a name="gdAffineScale"></a>gdAffineScale</h3><div class=CBody><blockquote><table border=0 cellspacing=0 cellpadding=0 class="Prototype"><tr><td><table border=0 cellspacing=0 cellpadding=0><tr><td class="PBeforeParameters prettyprint "nowrap>int gdAffineScale (</td><td class="PTypePrefix prettyprint " nowrap></td><td class="PType prettyprint " nowrap>double </td><td class="PParameter prettyprint " nowrap>dst[6],</td></tr><tr><td></td><td class="PTypePrefix prettyprint " nowrap>const </td><td class="PType prettyprint " nowrap>double </td><td class="PParameter prettyprint " nowrap>scale_x,</td></tr><tr><td></td><td class="PTypePrefix prettyprint " nowrap>const </td><td class="PType prettyprint " nowrap>double </td><td class="PParameter prettyprint " nowrap>scale_y</td><td class="PAfterParameters prettyprint "nowrap>)</td></tr></table></td></tr></table></blockquote><p>Set up a scaling matrix.</p><h4 class=CHeading>Parameters</h4><table border=0 cellspacing=0 cellpadding=0 class=CDescriptionList><tr><td class=CDLEntry>scale_x</td><td class=CDLDescription>X scale factor</td></tr><tr><td class=CDLEntry>scale_y</td><td class=CDLDescription>Y scale factor</td></tr></table><h4 class=CHeading>Returns</h4><p>GD_TRUE on success or GD_FALSE</p></div></div></div>
<div class="CFunction"><div class=CTopic><h3 class=CTitle><a name="gdAffineRotate"></a>gdAffineRotate</h3><div class=CBody><blockquote><table border=0 cellspacing=0 cellpadding=0 class="Prototype"><tr><td><table border=0 cellspacing=0 cellpadding=0><tr><td class="PBeforeParameters prettyprint "nowrap>int gdAffineRotate (</td><td class="PTypePrefix prettyprint " nowrap></td><td class="PType prettyprint " nowrap>double </td><td class="PParameter prettyprint " nowrap>dst[6],</td></tr><tr><td></td><td class="PTypePrefix prettyprint " nowrap>const </td><td class="PType prettyprint " nowrap>double </td><td class="PParameter prettyprint " nowrap>angle</td><td class="PAfterParameters prettyprint "nowrap>)</td></tr></table></td></tr></table></blockquote><p>Set up a rotation affine transform.</p><p>Like the other angle in libGD, in which increasing y moves downward, this is a counterclockwise rotation.</p><h4 class=CHeading>Parameters</h4><table border=0 cellspacing=0 cellpadding=0 class=CDescriptionList><tr><td class=CDLEntry>dst</td><td class=CDLDescription>Where to store the resulting affine transform</td></tr><tr><td class=CDLEntry>angle</td><td class=CDLDescription>Rotation angle in degrees</td></tr></table><h4 class=CHeading>Returns</h4><p>GD_TRUE on success or GD_FALSE</p></div></div></div>
<div class="CFunction"><div class=CTopic><h3 class=CTitle><a name="gdAffineShearHorizontal"></a>gdAffineShearHorizontal</h3><div class=CBody><blockquote><table border=0 cellspacing=0 cellpadding=0 class="Prototype"><tr><td><table border=0 cellspacing=0 cellpadding=0><tr><td class="PBeforeParameters prettyprint "nowrap>int gdAffineShearHorizontal(</td><td class="PTypePrefix prettyprint " nowrap></td><td class="PType prettyprint " nowrap>double </td><td class="PParameter prettyprint " nowrap>dst[6],</td></tr><tr><td></td><td class="PTypePrefix prettyprint " nowrap>const </td><td class="PType prettyprint " nowrap>double </td><td class="PParameter prettyprint " nowrap>angle</td><td class="PAfterParameters prettyprint "nowrap>)</td></tr></table></td></tr></table></blockquote><p>Set up a horizontal shearing matrix || becomes \\.</p><h4 class=CHeading>Parameters</h4><table border=0 cellspacing=0 cellpadding=0 class=CDescriptionList><tr><td class=CDLEntry>dst</td><td class=CDLDescription>Where to store the resulting affine transform</td></tr><tr><td class=CDLEntry>angle</td><td class=CDLDescription>Shear angle in degrees</td></tr></table><h4 class=CHeading>Returns</h4><p>GD_TRUE on success or GD_FALSE</p></div></div></div>
<div class="CFunction"><div class=CTopic><h3 class=CTitle><a name="gdAffineShearVertical"></a>gdAffineShearVertical</h3><div class=CBody><blockquote><table border=0 cellspacing=0 cellpadding=0 class="Prototype"><tr><td><table border=0 cellspacing=0 cellpadding=0><tr><td class="PBeforeParameters prettyprint "nowrap>int gdAffineShearVertical(</td><td class="PTypePrefix prettyprint " nowrap></td><td class="PType prettyprint " nowrap>double </td><td class="PParameter prettyprint " nowrap>dst[6],</td></tr><tr><td></td><td class="PTypePrefix prettyprint " nowrap>const </td><td class="PType prettyprint " nowrap>double </td><td class="PParameter prettyprint " nowrap>angle</td><td class="PAfterParameters prettyprint "nowrap>)</td></tr></table></td></tr></table></blockquote><p>Set up a vertical shearing matrix, columns are untouched.</p><h4 class=CHeading>Parameters</h4><table border=0 cellspacing=0 cellpadding=0 class=CDescriptionList><tr><td class=CDLEntry>dst</td><td class=CDLDescription>Where to store the resulting affine transform</td></tr><tr><td class=CDLEntry>angle</td><td class=CDLDescription>Shear angle in degrees</td></tr></table><h4 class=CHeading>Returns</h4><p>GD_TRUE on success or GD_FALSE</p></div></div></div>
<div class="CFunction"><div class=CTopic><h3 class=CTitle><a name="gdAffineTranslate"></a>gdAffineTranslate</h3><div class=CBody><blockquote><table border=0 cellspacing=0 cellpadding=0 class="Prototype"><tr><td><table border=0 cellspacing=0 cellpadding=0><tr><td class="PBeforeParameters prettyprint "nowrap>int gdAffineTranslate (</td><td class="PTypePrefix prettyprint " nowrap></td><td class="PType prettyprint " nowrap>double </td><td class="PParameter prettyprint " nowrap>dst[6],</td></tr><tr><td></td><td class="PTypePrefix prettyprint " nowrap>const </td><td class="PType prettyprint " nowrap>double </td><td class="PParameter prettyprint " nowrap>offset_x,</td></tr><tr><td></td><td class="PTypePrefix prettyprint " nowrap>const </td><td class="PType prettyprint " nowrap>double </td><td class="PParameter prettyprint " nowrap>offset_y</td><td class="PAfterParameters prettyprint "nowrap>)</td></tr></table></td></tr></table></blockquote><p>Set up a translation matrix.</p><h4 class=CHeading>Parameters</h4><table border=0 cellspacing=0 cellpadding=0 class=CDescriptionList><tr><td class=CDLEntry>dst</td><td class=CDLDescription>Where to store the resulting affine transform</td></tr><tr><td class=CDLEntry>offset_x</td><td class=CDLDescription>Horizontal translation amount</td></tr><tr><td class=CDLEntry>offset_y</td><td class=CDLDescription>Vertical translation amount</td></tr></table><h4 class=CHeading>Returns</h4><p>GD_TRUE on success or GD_FALSE</p></div></div></div>
<div class="CFunction"><div class=CTopic><h3 class=CTitle><a name="gdAffineRectilinear"></a>gdAffineRectilinear</h3><div class=CBody><blockquote><table border=0 cellspacing=0 cellpadding=0 class="Prototype"><tr><td><table border=0 cellspacing=0 cellpadding=0><tr><td class="PBeforeParameters prettyprint "nowrap>int gdAffineRectilinear (</td><td class="PTypePrefix prettyprint " nowrap>const </td><td class="PType prettyprint " nowrap>double </td><td class="PParameter prettyprint " nowrap>m[6]</td><td class="PAfterParameters prettyprint "nowrap>)</td></tr></table></td></tr></table></blockquote><p>Determines whether the affine transformation is axis aligned. A tolerance has been implemented using GD_EPSILON.</p><h4 class=CHeading>Parameters</h4><table border=0 cellspacing=0 cellpadding=0 class=CDescriptionList><tr><td class=CDLEntry>m</td><td class=CDLDescription>The affine transformation</td></tr></table><h4 class=CHeading>Returns</h4><p>GD_TRUE if the affine is rectilinear or GD_FALSE</p></div></div></div>
<div class="CFunction"><div class=CTopic><h3 class=CTitle><a name="gdAffineEqual"></a>gdAffineEqual</h3><div class=CBody><blockquote><table border=0 cellspacing=0 cellpadding=0 class="Prototype"><tr><td><table border=0 cellspacing=0 cellpadding=0><tr><td class="PBeforeParameters prettyprint "nowrap>int gdAffineEqual (</td><td class="PTypePrefix prettyprint " nowrap>const </td><td class="PType prettyprint " nowrap>double </td><td class="PParameter prettyprint " nowrap>m1[6],</td></tr><tr><td></td><td class="PTypePrefix prettyprint " nowrap>const </td><td class="PType prettyprint " nowrap>double </td><td class="PParameter prettyprint " nowrap>m2[6]</td><td class="PAfterParameters prettyprint "nowrap>)</td></tr></table></td></tr></table></blockquote><p>Determines whether two affine transformations are equal. A tolerance has been implemented using GD_EPSILON.</p><h4 class=CHeading>Parameters</h4><table border=0 cellspacing=0 cellpadding=0 class=CDescriptionList><tr><td class=CDLEntry>m1</td><td class=CDLDescription>The first affine transformation</td></tr><tr><td class=CDLEntry>m2</td><td class=CDLDescription>The first affine transformation</td></tr></table><h4 class=CHeading>Returns</h4><p>GD_TRUE on success or GD_FALSE</p></div></div></div>
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<div class=CToolTip id="tt1"><div class=CFunction><blockquote><table border=0 cellspacing=0 cellpadding=0 class="Prototype"><tr><td><table border=0 cellspacing=0 cellpadding=0><tr><td class="PBeforeParameters prettyprint "nowrap>int gdAffineApplyToPointF (</td><td class="PTypePrefix prettyprint " nowrap></td><td class="PType prettyprint " nowrap>gdPointFPtr </td><td class="PParameter prettyprint " nowrap>dst,</td></tr><tr><td></td><td class="PTypePrefix prettyprint " nowrap>const </td><td class="PType prettyprint " nowrap>gdPointFPtr </td><td class="PParameter prettyprint " nowrap>src,</td></tr><tr><td></td><td class="PTypePrefix prettyprint " nowrap>const </td><td class="PType prettyprint " nowrap>double </td><td class="PParameter prettyprint " nowrap>affine[6]</td><td class="PAfterParameters prettyprint "nowrap>)</td></tr></table></td></tr></table></blockquote>Applies an affine transformation to a point (floating point gdPointF)</div></div><div class=CToolTip id="tt2"><div class=CFunction><blockquote><table border=0 cellspacing=0 cellpadding=0 class="Prototype"><tr><td><table border=0 cellspacing=0 cellpadding=0><tr><td class="PBeforeParameters prettyprint "nowrap>int gdAffineInvert (</td><td class="PTypePrefix prettyprint " nowrap></td><td class="PType prettyprint " nowrap>double </td><td class="PParameter prettyprint " nowrap>dst[6],</td></tr><tr><td></td><td class="PTypePrefix prettyprint " nowrap>const </td><td class="PType prettyprint " nowrap>double </td><td class="PParameter prettyprint " nowrap>src[6]</td><td class="PAfterParameters prettyprint "nowrap>)</td></tr></table></td></tr></table></blockquote>Find the inverse of an affine transformation.</div></div><div class=CToolTip id="tt3"><div class=CFunction><blockquote><table border=0 cellspacing=0 cellpadding=0 class="Prototype"><tr><td><table border=0 cellspacing=0 cellpadding=0><tr><td class="PBeforeParameters prettyprint "nowrap>int gdAffineFlip (</td><td class="PTypePrefix prettyprint " nowrap></td><td class="PType prettyprint " nowrap>double </td><td class="PParameter prettyprint " nowrap>dst[6],</td></tr><tr><td></td><td class="PTypePrefix prettyprint " nowrap>const </td><td class="PType prettyprint " nowrap>double </td><td class="PParameter prettyprint " nowrap>src[6],</td></tr><tr><td></td><td class="PTypePrefix prettyprint " nowrap>const </td><td class="PType prettyprint " nowrap>int </td><td class="PParameter prettyprint " nowrap>flip_h,</td></tr><tr><td></td><td class="PTypePrefix prettyprint " nowrap>const </td><td class="PType prettyprint " nowrap>int </td><td class="PParameter prettyprint " nowrap>flip_v</td><td class="PAfterParameters prettyprint "nowrap>)</td></tr></table></td></tr></table></blockquote>Flip an affine transformation horizontally or vertically.</div></div><div class=CToolTip id="tt4"><div class=CFunction><blockquote><table border=0 cellspacing=0 cellpadding=0 class="Prototype"><tr><td><table border=0 cellspacing=0 cellpadding=0><tr><td class="PBeforeParameters prettyprint "nowrap>int gdAffineConcat (</td><td class="PTypePrefix prettyprint " nowrap></td><td class="PType prettyprint " nowrap>double </td><td class="PParameter prettyprint " nowrap>dst[6],</td></tr><tr><td></td><td class="PTypePrefix prettyprint " nowrap>const </td><td class="PType prettyprint " nowrap>double </td><td class="PParameter prettyprint " nowrap>m1[6],</td></tr><tr><td></td><td class="PTypePrefix prettyprint " nowrap>const </td><td class="PType prettyprint " nowrap>double </td><td class="PParameter prettyprint " nowrap>m2[6]</td><td class="PAfterParameters prettyprint "nowrap>)</td></tr></table></td></tr></table></blockquote>Concat (Multiply) two affine transformation matrices.</div></div><div class=CToolTip id="tt5"><div class=CFunction><blockquote><table border=0 cellspacing=0 cellpadding=0 class="Prototype"><tr><td><table border=0 cellspacing=0 cellpadding=0><tr><td class="PBeforeParameters prettyprint "nowrap>int gdAffineIdentity (</td><td class="PType prettyprint " nowrap>double </td><td class="PParameter prettyprint " nowrap>dst[6]</td><td class="PAfterParameters prettyprint "nowrap>)</td></tr></table></td></tr></table></blockquote>Set up the identity matrix.</div></div><div class=CToolTip id="tt6"><div class=CFunction><blockquote><table border=0 cellspacing=0 cellpadding=0 class="Prototype"><tr><td><table border=0 cellspacing=0 cellpadding=0><tr><td class="PBeforeParameters prettyprint "nowrap>int gdAffineScale (</td><td class="PTypePrefix prettyprint " nowrap></td><td class="PType prettyprint " nowrap>double </td><td class="PParameter prettyprint " nowrap>dst[6],</td></tr><tr><td></td><td class="PTypePrefix prettyprint " nowrap>const </td><td class="PType prettyprint " nowrap>double </td><td class="PParameter prettyprint " nowrap>scale_x,</td></tr><tr><td></td><td class="PTypePrefix prettyprint " nowrap>const </td><td class="PType prettyprint " nowrap>double </td><td class="PParameter prettyprint " nowrap>scale_y</td><td class="PAfterParameters prettyprint "nowrap>)</td></tr></table></td></tr></table></blockquote>Set up a scaling matrix.</div></div><div class=CToolTip id="tt7"><div class=CFunction><blockquote><table border=0 cellspacing=0 cellpadding=0 class="Prototype"><tr><td><table border=0 cellspacing=0 cellpadding=0><tr><td class="PBeforeParameters prettyprint "nowrap>int gdAffineRotate (</td><td class="PTypePrefix prettyprint " nowrap></td><td class="PType prettyprint " nowrap>double </td><td class="PParameter prettyprint " nowrap>dst[6],</td></tr><tr><td></td><td class="PTypePrefix prettyprint " nowrap>const </td><td class="PType prettyprint " nowrap>double </td><td class="PParameter prettyprint " nowrap>angle</td><td class="PAfterParameters prettyprint "nowrap>)</td></tr></table></td></tr></table></blockquote>Set up a rotation affine transform.</div></div><div class=CToolTip id="tt8"><div class=CFunction><blockquote><table border=0 cellspacing=0 cellpadding=0 class="Prototype"><tr><td><table border=0 cellspacing=0 cellpadding=0><tr><td class="PBeforeParameters prettyprint "nowrap>int gdAffineShearHorizontal(</td><td class="PTypePrefix prettyprint " nowrap></td><td class="PType prettyprint " nowrap>double </td><td class="PParameter prettyprint " nowrap>dst[6],</td></tr><tr><td></td><td class="PTypePrefix prettyprint " nowrap>const </td><td class="PType prettyprint " nowrap>double </td><td class="PParameter prettyprint " nowrap>angle</td><td class="PAfterParameters prettyprint "nowrap>)</td></tr></table></td></tr></table></blockquote>Set up a horizontal shearing matrix || becomes \\.</div></div><div class=CToolTip id="tt9"><div class=CFunction><blockquote><table border=0 cellspacing=0 cellpadding=0 class="Prototype"><tr><td><table border=0 cellspacing=0 cellpadding=0><tr><td class="PBeforeParameters prettyprint "nowrap>int gdAffineShearVertical(</td><td class="PTypePrefix prettyprint " nowrap></td><td class="PType prettyprint " nowrap>double </td><td class="PParameter prettyprint " nowrap>dst[6],</td></tr><tr><td></td><td class="PTypePrefix prettyprint " nowrap>const </td><td class="PType prettyprint " nowrap>double </td><td class="PParameter prettyprint " nowrap>angle</td><td class="PAfterParameters prettyprint "nowrap>)</td></tr></table></td></tr></table></blockquote>Set up a vertical shearing matrix, columns are untouched.</div></div><div class=CToolTip id="tt10"><div class=CFunction><blockquote><table border=0 cellspacing=0 cellpadding=0 class="Prototype"><tr><td><table border=0 cellspacing=0 cellpadding=0><tr><td class="PBeforeParameters prettyprint "nowrap>int gdAffineTranslate (</td><td class="PTypePrefix prettyprint " nowrap></td><td class="PType prettyprint " nowrap>double </td><td class="PParameter prettyprint " nowrap>dst[6],</td></tr><tr><td></td><td class="PTypePrefix prettyprint " nowrap>const </td><td class="PType prettyprint " nowrap>double </td><td class="PParameter prettyprint " nowrap>offset_x,</td></tr><tr><td></td><td class="PTypePrefix prettyprint " nowrap>const </td><td class="PType prettyprint " nowrap>double </td><td class="PParameter prettyprint " nowrap>offset_y</td><td class="PAfterParameters prettyprint "nowrap>)</td></tr></table></td></tr></table></blockquote>Set up a translation matrix.</div></div><div class=CToolTip id="tt11"><div class=CFunction><blockquote><table border=0 cellspacing=0 cellpadding=0 class="Prototype"><tr><td><table border=0 cellspacing=0 cellpadding=0><tr><td class="PBeforeParameters prettyprint "nowrap>int gdAffineRectilinear (</td><td class="PTypePrefix prettyprint " nowrap>const </td><td class="PType prettyprint " nowrap>double </td><td class="PParameter prettyprint " nowrap>m[6]</td><td class="PAfterParameters prettyprint "nowrap>)</td></tr></table></td></tr></table></blockquote>Determines whether the affine transformation is axis aligned. </div></div><div class=CToolTip id="tt12"><div class=CFunction><blockquote><table border=0 cellspacing=0 cellpadding=0 class="Prototype"><tr><td><table border=0 cellspacing=0 cellpadding=0><tr><td class="PBeforeParameters prettyprint "nowrap>int gdAffineEqual (</td><td class="PTypePrefix prettyprint " nowrap>const </td><td class="PType prettyprint " nowrap>double </td><td class="PParameter prettyprint " nowrap>m1[6],</td></tr><tr><td></td><td class="PTypePrefix prettyprint " nowrap>const </td><td class="PType prettyprint " nowrap>double </td><td class="PParameter prettyprint " nowrap>m2[6]</td><td class="PAfterParameters prettyprint "nowrap>)</td></tr></table></td></tr></table></blockquote>Determines whether two affine transformations are equal. </div></div><!--END_ND_TOOLTIPS-->
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