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.IX Title "Pastel::Geometry::AffineTransform 3"
.TH Pastel::Geometry::AffineTransform 3 "2003-01-06" "perl v5.8.0" "User Contributed Perl Documentation"
Pastel::Geometry::AffineTranform
This module encapsulates the 2D tranformation matrix of graphics.
Every elements of the graphics object can be geometrically transformed.
\&\s-1SVG\s0 specification allows \- Translation, Scaling, Roatation and Skew.
Transformation itself is represented by a 3 X 3 matrix. Like in Java
AffineTranform class we will represent it here like this\-
\& [ x'] [ m00 m01 m02 ] [ x ] [ m00x + m01y + m02 ]
\& [ y'] = [ m10 m11 m12 ] [ y ] = [ m10x + m11y + m12 ]
\& [ 1 ] [ 0 0 1 ] [ 1 ] [ 1 ]
\& Where x' and y' are the new coordinates and x and y are the old ones.
\& In SVG it is represented as-
\& <g transform="matrix(m00,m10,m01,m11,m02,m12)">...</g>
\& [ x'] [ 1 0 tx ] [ x ]
\& [ y'] = [ 0 1 ty ] [ y ]
\& Where tx and ty are the distances to translate. It is represented
\& <g transform="translate(tx, ty)">...</g>
\& [ x'] [ Sx 0 0 ] [ x ]
\& [ y'] = [ 0 Sy 0 ] [ y ]
<g transform=\*(L"scale(Sx, Sy)\*(R">...</g>
If Sy is not provided it is assumed to be equals to Sx.
[ x'] [ cos(a) \-sin(a) 0 ] [ x ]
[ y'] = [ sin(a) cos(a) 0 ] [ y ]
\& <g transform="rotate(a, [x, y])">...</g>
\& If x and y are provided is like translating to that point then rotating
\& and then coming to the original position.
\& <g transform="skewX(a)">...</g>
\& <g transform="skewY(a)">...</g>
\& my $g2 = Pastel::Graphics->new(...);
\& my $transform1 = Pastel::Geometry::AffineTranform->new();
\& my $transform2 = Pastel::Geometry::AffineTranform->new();
\& $transform1->set_to_indentity();
\& $transform1->rotate(45);
\& $transform2->scale(0.5,0.5);
\& # Join both the transform
\& $transform1->concatanate($transform2);
\& # To concatanate to existing transform in $g2 call transform()
\& $g2->transform($transform1);
\& # To replace the existing transform
\& $g2->set_transform($transform2);
.IX Header "CONSTRUCTORS"
.IP "Pastel::Geometry::AffineTransform\->\fInew()\fR" 4
.IX Item "Pastel::Geometry::AffineTransform->new()"
.IP "Pastel::Geometry::AffineTransform\->new(\-transform=>$tx)" 4
.IX Item "Pastel::Geometry::AffineTransform->new(-transform=>$tx)"
$tx is another Pastel::Geometry::AffineTransform object.
.IP "Pastel::Geometry::AffineTransform\->new(@array)" 4
.IX Item "Pastel::Geometry::AffineTransform->new(@array)"
@array is 4 or 6 elements numbers representing 4 non-tranaslatable entries
or the complete array of 6 specifiable entries of 3 X 3 transformation matrix.
.ie n .IP "Pastel::Geometry::AffineTransform\->new(\-m00=>$n, \-m10=>$n, \-m01=>$n, \-m11=>$n, \-m02=>$n, \-m12=>, $n)" 4
.el .IP "Pastel::Geometry::AffineTransform\->new(\-m00=>$n, \-m10=>$n, \-m01=>$n, \-m11=>$n, \-m02=>$n, \-m12=>, \f(CW$n\fR)" 4
.IX Item "Pastel::Geometry::AffineTransform->new(-m00=>$n, -m10=>$n, -m01=>$n, -m11=>$n, -m02=>$n, -m12=>, $n)"
Complete transformation matrix. \f(CW$n\fR = numbers.
.IP "Pastel::Geometry::AffineTransform\->new($n1,$n2,$n3,$n4,$n5,$n6)" 4
.IX Item "Pastel::Geometry::AffineTransform->new($n1,$n2,$n3,$n4,$n5,$n6)"
.IP "Pastel::Geometry::AffineTransform\->new(\-m00=>$n, \-m10=>$n, \-m01=>$n, \-m11=>$n)" 4
.IX Item "Pastel::Geometry::AffineTransform->new(-m00=>$n, -m10=>$n, -m01=>$n, -m11=>$n)"
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