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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" |
| 134 | Pastel::Geometry::AffineTranform\r |
| 135 | .PP |
| 136 | This module encapsulates the 2D tranformation matrix of graphics.\r |
| 137 | .SH "DESCRIPTION" |
| 138 | .IX Header "DESCRIPTION" |
| 139 | Every elements of the graphics object can be geometrically transformed. \r |
| 140 | \&\s-1SVG\s0 specification allows \- Translation, Scaling, Roatation and Skew. \r |
| 141 | Transformation itself is represented by a 3 X 3 matrix. Like in Java \r |
| 142 | AffineTranform 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 |
| 178 | In \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 |
| 187 | In \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 | $tx is another Pastel::Geometry::AffineTransform object. \r |
| 245 | .IP "Pastel::Geometry::AffineTransform\->new(@array)" 4 |
| 246 | .IX Item "Pastel::Geometry::AffineTransform->new(@array)" |
| 247 | @array is 4 or 6 elements numbers representing 4 non-tranaslatable entries\r |
| 248 | or the complete array of 6 specifiable entries of 3 X 3 transformation matrix.\r |
| 249 | .ie n .IP "Pastel::Geometry::AffineTransform\->new(\-m00=>$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=>, $n)" |
| 252 | Complete transformation matrix. \f(CW$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)" |