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Initial commit of OpenSPARC T2 design and verification files.
[OpenSPARC-T2-DV] / tools / perl-5.8.0 / man / man3 / Pastel::Geometry::AffineTransform.3
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129.\" ========================================================================
130.\"
131.IX Title "Pastel::Geometry::AffineTransform 3"
132.TH Pastel::Geometry::AffineTransform 3 "2003-01-06" "perl v5.8.0" "User Contributed Perl Documentation"
133.SH "NAME"
134Pastel::Geometry::AffineTranform\r
135.PP
136This module encapsulates the 2D tranformation matrix of graphics.\r
137.SH "DESCRIPTION"
138.IX Header "DESCRIPTION"
139Every elements of the graphics object can be geometrically transformed. \r
140\&\s-1SVG\s0 specification allows \- Translation, Scaling, Roatation and Skew. \r
141Transformation itself is represented by a 3 X 3 matrix. Like in Java \r
142AffineTranform class we will represent it here like this\-\r
143.PP
144.Vb 3
145\& [ x'] [ m00 m01 m02 ] [ x ] [ m00x + m01y + m02 ]\r
146\& [ y'] = [ m10 m11 m12 ] [ y ] = [ m10x + m11y + m12 ]\r
147\& [ 1 ] [ 0 0 1 ] [ 1 ] [ 1 ]
148.Ve
149.PP
150.Vb 3
151\& Where x' and y' are the new coordinates and x and y are the old ones.\r
152\& In SVG it is represented as-\r
153\& <g transform="matrix(m00,m10,m01,m11,m02,m12)">...</g>
154.Ve
155.PP
156<B>Translation:</B>\r
157.PP
158.Vb 3
159\& [ x'] [ 1 0 tx ] [ x ] \r
160\& [ y'] = [ 0 1 ty ] [ y ] \r
161\& [ 1 ] [ 0 0 1 ] [ 1 ]
162.Ve
163.PP
164.Vb 3
165\& Where tx and ty are the distances to translate. It is represented\r
166\& in SVG as-\r
167\& <g transform="translate(tx, ty)">...</g>
168.Ve
169.PP
170<B>Scaling:</B> \r
171.PP
172.Vb 3
173\& [ x'] [ Sx 0 0 ] [ x ] \r
174\& [ y'] = [ 0 Sy 0 ] [ y ] \r
175\& [ 1 ] [ 0 0 1 ] [ 1 ]
176.Ve
177.PP
178In \s-1SVG\-\s0\r
179 <g transform=\*(L"scale(Sx, Sy)\*(R">...</g>\r
180 If Sy is not provided it is assumed to be equals to Sx.\r
181.PP
182<b>Rotation:</b>\r
183 [ x'] [ cos(a) \-sin(a) 0 ] [ x ] \r
184 [ y'] = [ sin(a) cos(a) 0 ] [ y ] \r
185 [ 1 ] [ 0 0 1 ] [ 1 ]\r
186.PP
187In \s-1SVG\-\s0\r
188.PP
189.Vb 3
190\& <g transform="rotate(a, [x, y])">...</g>\r
191\& If x and y are provided is like translating to that point then rotating\r
192\& and then coming to the original position.
193.Ve
194.PP
195<b>SkewX and Y:</b>\r
196.PP
197.Vb 2
198\& <g transform="skewX(a)">...</g>\r
199\& <g transform="skewY(a)">...</g>
200.Ve
201.SH "SYNOPSIS"
202.IX Header "SYNOPSIS"
203.Vb 5
204\& use Pastel;\r
205\& my $g2 = Pastel::Graphics->new(...);\r
206\& # Create two tranfoms\r
207\& my $transform1 = Pastel::Geometry::AffineTranform->new();\r
208\& my $transform2 = Pastel::Geometry::AffineTranform->new();
209.Ve
210.PP
211.Vb 3
212\& # Modify Transfom1\r
213\& $transform1->set_to_indentity();\r
214\& $transform1->rotate(45);
215.Ve
216.PP
217.Vb 2
218\& # Modify Transform2\r
219\& $transform2->scale(0.5,0.5);
220.Ve
221.PP
222.Vb 2
223\& # Join both the transform\r
224\& $transform1->concatanate($transform2);
225.Ve
226.PP
227.Vb 2
228\& # To concatanate to existing transform in $g2 call transform()\r
229\& $g2->transform($transform1);
230.Ve
231.PP
232.Vb 2
233\& # To replace the existing transform\r
234\& $g2->set_transform($transform2);
235.Ve
236.SH "CONSTRUCTORS"
237.IX Header "CONSTRUCTORS"
238.IP "Pastel::Geometry::AffineTransform\->\fInew()\fR" 4
239.IX Item "Pastel::Geometry::AffineTransform->new()"
240.PD 0
241.IP "Pastel::Geometry::AffineTransform\->new(\-transform=>$tx)" 4
242.IX Item "Pastel::Geometry::AffineTransform->new(-transform=>$tx)"
243.PD
244$tx is another Pastel::Geometry::AffineTransform object. \r
245.IP "Pastel::Geometry::AffineTransform\->new(@array)" 4
246.IX Item "Pastel::Geometry::AffineTransform->new(@array)"
247@array is 4 or 6 elements numbers representing 4 non-tranaslatable entries\r
248or the complete array of 6 specifiable entries of 3 X 3 transformation matrix.\r
249.ie n .IP "Pastel::Geometry::AffineTransform\->new(\-m00=>$n, \-m10=>$n, \-m01=>$n, \-m11=>$n, \-m02=>$n, \-m12=>, $n)" 4
250.el .IP "Pastel::Geometry::AffineTransform\->new(\-m00=>$n, \-m10=>$n, \-m01=>$n, \-m11=>$n, \-m02=>$n, \-m12=>, \f(CW$n\fR)" 4
251.IX Item "Pastel::Geometry::AffineTransform->new(-m00=>$n, -m10=>$n, -m01=>$n, -m11=>$n, -m02=>$n, -m12=>, $n)"
252Complete transformation matrix. \f(CW$n\fR = numbers.\r
253.IP "Pastel::Geometry::AffineTransform\->new($n1,$n2,$n3,$n4,$n5,$n6)" 4
254.IX Item "Pastel::Geometry::AffineTransform->new($n1,$n2,$n3,$n4,$n5,$n6)"
255.PD 0
256.IP "Pastel::Geometry::AffineTransform\->new(\-m00=>$n, \-m10=>$n, \-m01=>$n, \-m11=>$n)" 4
257.IX Item "Pastel::Geometry::AffineTransform->new(-m00=>$n, -m10=>$n, -m01=>$n, -m11=>$n)"
Full OpenSPARC design & verification tarball including full HDL.