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<pre><table width="100%"><tr class="nocursor"><td></td></tr></table></pre>
<pre><table width="100%" id="nums_table_0"><tr id="gr_svn7768_1"
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><tr id="gr_svn7768_129"
><td id="129"><a href="#129">129</a></td></tr
><tr id="gr_svn7768_130"
><td id="130"><a href="#130">130</a></td></tr
><tr id="gr_svn7768_131"
><td id="131"><a href="#131">131</a></td></tr
><tr id="gr_svn7768_132"
><td id="132"><a href="#132">132</a></td></tr
><tr id="gr_svn7768_133"
><td id="133"><a href="#133">133</a></td></tr
><tr id="gr_svn7768_134"
><td id="134"><a href="#134">134</a></td></tr
><tr id="gr_svn7768_135"
><td id="135"><a href="#135">135</a></td></tr
><tr id="gr_svn7768_136"
><td id="136"><a href="#136">136</a></td></tr
><tr id="gr_svn7768_137"
><td id="137"><a href="#137">137</a></td></tr
><tr id="gr_svn7768_138"
><td id="138"><a href="#138">138</a></td></tr
><tr id="gr_svn7768_139"
><td id="139"><a href="#139">139</a></td></tr
><tr id="gr_svn7768_140"
><td id="140"><a href="#140">140</a></td></tr
><tr id="gr_svn7768_141"
><td id="141"><a href="#141">141</a></td></tr
><tr id="gr_svn7768_142"
><td id="142"><a href="#142">142</a></td></tr
><tr id="gr_svn7768_143"
><td id="143"><a href="#143">143</a></td></tr
><tr id="gr_svn7768_144"
><td id="144"><a href="#144">144</a></td></tr
><tr id="gr_svn7768_145"
><td id="145"><a href="#145">145</a></td></tr
><tr id="gr_svn7768_146"
><td id="146"><a href="#146">146</a></td></tr
><tr id="gr_svn7768_147"
><td id="147"><a href="#147">147</a></td></tr
><tr id="gr_svn7768_148"
><td id="148"><a href="#148">148</a></td></tr
><tr id="gr_svn7768_149"
><td id="149"><a href="#149">149</a></td></tr
><tr id="gr_svn7768_150"
><td id="150"><a href="#150">150</a></td></tr
><tr id="gr_svn7768_151"
><td id="151"><a href="#151">151</a></td></tr
><tr id="gr_svn7768_152"
><td id="152"><a href="#152">152</a></td></tr
><tr id="gr_svn7768_153"
><td id="153"><a href="#153">153</a></td></tr
><tr id="gr_svn7768_154"
><td id="154"><a href="#154">154</a></td></tr
><tr id="gr_svn7768_155"
><td id="155"><a href="#155">155</a></td></tr
><tr id="gr_svn7768_156"
><td id="156"><a href="#156">156</a></td></tr
><tr id="gr_svn7768_157"
><td id="157"><a href="#157">157</a></td></tr
><tr id="gr_svn7768_158"
><td id="158"><a href="#158">158</a></td></tr
><tr id="gr_svn7768_159"
><td id="159"><a href="#159">159</a></td></tr
><tr id="gr_svn7768_160"
><td id="160"><a href="#160">160</a></td></tr
><tr id="gr_svn7768_161"
><td id="161"><a href="#161">161</a></td></tr
><tr id="gr_svn7768_162"
><td id="162"><a href="#162">162</a></td></tr
><tr id="gr_svn7768_163"
><td id="163"><a href="#163">163</a></td></tr
><tr id="gr_svn7768_164"
><td id="164"><a href="#164">164</a></td></tr
><tr id="gr_svn7768_165"
><td id="165"><a href="#165">165</a></td></tr
><tr id="gr_svn7768_166"
><td id="166"><a href="#166">166</a></td></tr
><tr id="gr_svn7768_167"
><td id="167"><a href="#167">167</a></td></tr
><tr id="gr_svn7768_168"
><td id="168"><a href="#168">168</a></td></tr
><tr id="gr_svn7768_169"
><td id="169"><a href="#169">169</a></td></tr
><tr id="gr_svn7768_170"
><td id="170"><a href="#170">170</a></td></tr
><tr id="gr_svn7768_171"
><td id="171"><a href="#171">171</a></td></tr
><tr id="gr_svn7768_172"
><td id="172"><a href="#172">172</a></td></tr
><tr id="gr_svn7768_173"
><td id="173"><a href="#173">173</a></td></tr
><tr id="gr_svn7768_174"
><td id="174"><a href="#174">174</a></td></tr
><tr id="gr_svn7768_175"
><td id="175"><a href="#175">175</a></td></tr
><tr id="gr_svn7768_176"
><td id="176"><a href="#176">176</a></td></tr
><tr id="gr_svn7768_177"
><td id="177"><a href="#177">177</a></td></tr
><tr id="gr_svn7768_178"
><td id="178"><a href="#178">178</a></td></tr
><tr id="gr_svn7768_179"
><td id="179"><a href="#179">179</a></td></tr
><tr id="gr_svn7768_180"
><td id="180"><a href="#180">180</a></td></tr
><tr id="gr_svn7768_181"
><td id="181"><a href="#181">181</a></td></tr
><tr id="gr_svn7768_182"
><td id="182"><a href="#182">182</a></td></tr
><tr id="gr_svn7768_183"
><td id="183"><a href="#183">183</a></td></tr
><tr id="gr_svn7768_184"
><td id="184"><a href="#184">184</a></td></tr
><tr id="gr_svn7768_185"
><td id="185"><a href="#185">185</a></td></tr
><tr id="gr_svn7768_186"
><td id="186"><a href="#186">186</a></td></tr
><tr id="gr_svn7768_187"
><td id="187"><a href="#187">187</a></td></tr
><tr id="gr_svn7768_188"
><td id="188"><a href="#188">188</a></td></tr
><tr id="gr_svn7768_189"
><td id="189"><a href="#189">189</a></td></tr
><tr id="gr_svn7768_190"
><td id="190"><a href="#190">190</a></td></tr
><tr id="gr_svn7768_191"
><td id="191"><a href="#191">191</a></td></tr
><tr id="gr_svn7768_192"
><td id="192"><a href="#192">192</a></td></tr
><tr id="gr_svn7768_193"
><td id="193"><a href="#193">193</a></td></tr
><tr id="gr_svn7768_194"
><td id="194"><a href="#194">194</a></td></tr
><tr id="gr_svn7768_195"
><td id="195"><a href="#195">195</a></td></tr
><tr id="gr_svn7768_196"
><td id="196"><a href="#196">196</a></td></tr
><tr id="gr_svn7768_197"
><td id="197"><a href="#197">197</a></td></tr
><tr id="gr_svn7768_198"
><td id="198"><a href="#198">198</a></td></tr
><tr id="gr_svn7768_199"
><td id="199"><a href="#199">199</a></td></tr
><tr id="gr_svn7768_200"
><td id="200"><a href="#200">200</a></td></tr
><tr id="gr_svn7768_201"
><td id="201"><a href="#201">201</a></td></tr
><tr id="gr_svn7768_202"
><td id="202"><a href="#202">202</a></td></tr
><tr id="gr_svn7768_203"
><td id="203"><a href="#203">203</a></td></tr
><tr id="gr_svn7768_204"
><td id="204"><a href="#204">204</a></td></tr
><tr id="gr_svn7768_205"
><td id="205"><a href="#205">205</a></td></tr
><tr id="gr_svn7768_206"
><td id="206"><a href="#206">206</a></td></tr
><tr id="gr_svn7768_207"
><td id="207"><a href="#207">207</a></td></tr
><tr id="gr_svn7768_208"
><td id="208"><a href="#208">208</a></td></tr
><tr id="gr_svn7768_209"
><td id="209"><a href="#209">209</a></td></tr
><tr id="gr_svn7768_210"
><td id="210"><a href="#210">210</a></td></tr
><tr id="gr_svn7768_211"
><td id="211"><a href="#211">211</a></td></tr
><tr id="gr_svn7768_212"
><td id="212"><a href="#212">212</a></td></tr
><tr id="gr_svn7768_213"
><td id="213"><a href="#213">213</a></td></tr
><tr id="gr_svn7768_214"
><td id="214"><a href="#214">214</a></td></tr
><tr id="gr_svn7768_215"
><td id="215"><a href="#215">215</a></td></tr
><tr id="gr_svn7768_216"
><td id="216"><a href="#216">216</a></td></tr
><tr id="gr_svn7768_217"
><td id="217"><a href="#217">217</a></td></tr
><tr id="gr_svn7768_218"
><td id="218"><a href="#218">218</a></td></tr
><tr id="gr_svn7768_219"
><td id="219"><a href="#219">219</a></td></tr
><tr id="gr_svn7768_220"
><td id="220"><a href="#220">220</a></td></tr
><tr id="gr_svn7768_221"
><td id="221"><a href="#221">221</a></td></tr
><tr id="gr_svn7768_222"
><td id="222"><a href="#222">222</a></td></tr
><tr id="gr_svn7768_223"
><td id="223"><a href="#223">223</a></td></tr
><tr id="gr_svn7768_224"
><td id="224"><a href="#224">224</a></td></tr
><tr id="gr_svn7768_225"
><td id="225"><a href="#225">225</a></td></tr
><tr id="gr_svn7768_226"
><td id="226"><a href="#226">226</a></td></tr
><tr id="gr_svn7768_227"
><td id="227"><a href="#227">227</a></td></tr
><tr id="gr_svn7768_228"
><td id="228"><a href="#228">228</a></td></tr
><tr id="gr_svn7768_229"
><td id="229"><a href="#229">229</a></td></tr
><tr id="gr_svn7768_230"
><td id="230"><a href="#230">230</a></td></tr
><tr id="gr_svn7768_231"
><td id="231"><a href="#231">231</a></td></tr
><tr id="gr_svn7768_232"
><td id="232"><a href="#232">232</a></td></tr
><tr id="gr_svn7768_233"
><td id="233"><a href="#233">233</a></td></tr
><tr id="gr_svn7768_234"
><td id="234"><a href="#234">234</a></td></tr
><tr id="gr_svn7768_235"
><td id="235"><a href="#235">235</a></td></tr
><tr id="gr_svn7768_236"
><td id="236"><a href="#236">236</a></td></tr
><tr id="gr_svn7768_237"
><td id="237"><a href="#237">237</a></td></tr
><tr id="gr_svn7768_238"
><td id="238"><a href="#238">238</a></td></tr
><tr id="gr_svn7768_239"
><td id="239"><a href="#239">239</a></td></tr
><tr id="gr_svn7768_240"
><td id="240"><a href="#240">240</a></td></tr
><tr id="gr_svn7768_241"
><td id="241"><a href="#241">241</a></td></tr
><tr id="gr_svn7768_242"
><td id="242"><a href="#242">242</a></td></tr
><tr id="gr_svn7768_243"
><td id="243"><a href="#243">243</a></td></tr
><tr id="gr_svn7768_244"
><td id="244"><a href="#244">244</a></td></tr
><tr id="gr_svn7768_245"
><td id="245"><a href="#245">245</a></td></tr
><tr id="gr_svn7768_246"
><td id="246"><a href="#246">246</a></td></tr
><tr id="gr_svn7768_247"
><td id="247"><a href="#247">247</a></td></tr
><tr id="gr_svn7768_248"
><td id="248"><a href="#248">248</a></td></tr
><tr id="gr_svn7768_249"
><td id="249"><a href="#249">249</a></td></tr
><tr id="gr_svn7768_250"
><td id="250"><a href="#250">250</a></td></tr
><tr id="gr_svn7768_251"
><td id="251"><a href="#251">251</a></td></tr
><tr id="gr_svn7768_252"
><td id="252"><a href="#252">252</a></td></tr
><tr id="gr_svn7768_253"
><td id="253"><a href="#253">253</a></td></tr
><tr id="gr_svn7768_254"
><td id="254"><a href="#254">254</a></td></tr
><tr id="gr_svn7768_255"
><td id="255"><a href="#255">255</a></td></tr
><tr id="gr_svn7768_256"
><td id="256"><a href="#256">256</a></td></tr
><tr id="gr_svn7768_257"
><td id="257"><a href="#257">257</a></td></tr
><tr id="gr_svn7768_258"
><td id="258"><a href="#258">258</a></td></tr
><tr id="gr_svn7768_259"
><td id="259"><a href="#259">259</a></td></tr
><tr id="gr_svn7768_260"
><td id="260"><a href="#260">260</a></td></tr
><tr id="gr_svn7768_261"
><td id="261"><a href="#261">261</a></td></tr
><tr id="gr_svn7768_262"
><td id="262"><a href="#262">262</a></td></tr
><tr id="gr_svn7768_263"
><td id="263"><a href="#263">263</a></td></tr
><tr id="gr_svn7768_264"
><td id="264"><a href="#264">264</a></td></tr
><tr id="gr_svn7768_265"
><td id="265"><a href="#265">265</a></td></tr
><tr id="gr_svn7768_266"
><td id="266"><a href="#266">266</a></td></tr
><tr id="gr_svn7768_267"
><td id="267"><a href="#267">267</a></td></tr
><tr id="gr_svn7768_268"
><td id="268"><a href="#268">268</a></td></tr
><tr id="gr_svn7768_269"
><td id="269"><a href="#269">269</a></td></tr
><tr id="gr_svn7768_270"
><td id="270"><a href="#270">270</a></td></tr
><tr id="gr_svn7768_271"
><td id="271"><a href="#271">271</a></td></tr
><tr id="gr_svn7768_272"
><td id="272"><a href="#272">272</a></td></tr
><tr id="gr_svn7768_273"
><td id="273"><a href="#273">273</a></td></tr
><tr id="gr_svn7768_274"
><td id="274"><a href="#274">274</a></td></tr
><tr id="gr_svn7768_275"
><td id="275"><a href="#275">275</a></td></tr
><tr id="gr_svn7768_276"
><td id="276"><a href="#276">276</a></td></tr
><tr id="gr_svn7768_277"
><td id="277"><a href="#277">277</a></td></tr
><tr id="gr_svn7768_278"
><td id="278"><a href="#278">278</a></td></tr
><tr id="gr_svn7768_279"
><td id="279"><a href="#279">279</a></td></tr
><tr id="gr_svn7768_280"
><td id="280"><a href="#280">280</a></td></tr
><tr id="gr_svn7768_281"
><td id="281"><a href="#281">281</a></td></tr
><tr id="gr_svn7768_282"
><td id="282"><a href="#282">282</a></td></tr
><tr id="gr_svn7768_283"
><td id="283"><a href="#283">283</a></td></tr
><tr id="gr_svn7768_284"
><td id="284"><a href="#284">284</a></td></tr
><tr id="gr_svn7768_285"
><td id="285"><a href="#285">285</a></td></tr
><tr id="gr_svn7768_286"
><td id="286"><a href="#286">286</a></td></tr
><tr id="gr_svn7768_287"
><td id="287"><a href="#287">287</a></td></tr
><tr id="gr_svn7768_288"
><td id="288"><a href="#288">288</a></td></tr
><tr id="gr_svn7768_289"
><td id="289"><a href="#289">289</a></td></tr
><tr id="gr_svn7768_290"
><td id="290"><a href="#290">290</a></td></tr
><tr id="gr_svn7768_291"
><td id="291"><a href="#291">291</a></td></tr
><tr id="gr_svn7768_292"
><td id="292"><a href="#292">292</a></td></tr
><tr id="gr_svn7768_293"
><td id="293"><a href="#293">293</a></td></tr
><tr id="gr_svn7768_294"
><td id="294"><a href="#294">294</a></td></tr
><tr id="gr_svn7768_295"
><td id="295"><a href="#295">295</a></td></tr
><tr id="gr_svn7768_296"
><td id="296"><a href="#296">296</a></td></tr
><tr id="gr_svn7768_297"
><td id="297"><a href="#297">297</a></td></tr
><tr id="gr_svn7768_298"
><td id="298"><a href="#298">298</a></td></tr
><tr id="gr_svn7768_299"
><td id="299"><a href="#299">299</a></td></tr
><tr id="gr_svn7768_300"
><td id="300"><a href="#300">300</a></td></tr
><tr id="gr_svn7768_301"
><td id="301"><a href="#301">301</a></td></tr
><tr id="gr_svn7768_302"
><td id="302"><a href="#302">302</a></td></tr
><tr id="gr_svn7768_303"
><td id="303"><a href="#303">303</a></td></tr
><tr id="gr_svn7768_304"
><td id="304"><a href="#304">304</a></td></tr
><tr id="gr_svn7768_305"
><td id="305"><a href="#305">305</a></td></tr
><tr id="gr_svn7768_306"
><td id="306"><a href="#306">306</a></td></tr
><tr id="gr_svn7768_307"
><td id="307"><a href="#307">307</a></td></tr
><tr id="gr_svn7768_308"
><td id="308"><a href="#308">308</a></td></tr
><tr id="gr_svn7768_309"
><td id="309"><a href="#309">309</a></td></tr
><tr id="gr_svn7768_310"
><td id="310"><a href="#310">310</a></td></tr
><tr id="gr_svn7768_311"
><td id="311"><a href="#311">311</a></td></tr
><tr id="gr_svn7768_312"
><td id="312"><a href="#312">312</a></td></tr
><tr id="gr_svn7768_313"
><td id="313"><a href="#313">313</a></td></tr
><tr id="gr_svn7768_314"
><td id="314"><a href="#314">314</a></td></tr
><tr id="gr_svn7768_315"
><td id="315"><a href="#315">315</a></td></tr
><tr id="gr_svn7768_316"
><td id="316"><a href="#316">316</a></td></tr
><tr id="gr_svn7768_317"
><td id="317"><a href="#317">317</a></td></tr
><tr id="gr_svn7768_318"
><td id="318"><a href="#318">318</a></td></tr
><tr id="gr_svn7768_319"
><td id="319"><a href="#319">319</a></td></tr
><tr id="gr_svn7768_320"
><td id="320"><a href="#320">320</a></td></tr
><tr id="gr_svn7768_321"
><td id="321"><a href="#321">321</a></td></tr
><tr id="gr_svn7768_322"
><td id="322"><a href="#322">322</a></td></tr
><tr id="gr_svn7768_323"
><td id="323"><a href="#323">323</a></td></tr
><tr id="gr_svn7768_324"
><td id="324"><a href="#324">324</a></td></tr
><tr id="gr_svn7768_325"
><td id="325"><a href="#325">325</a></td></tr
><tr id="gr_svn7768_326"
><td id="326"><a href="#326">326</a></td></tr
><tr id="gr_svn7768_327"
><td id="327"><a href="#327">327</a></td></tr
><tr id="gr_svn7768_328"
><td id="328"><a href="#328">328</a></td></tr
><tr id="gr_svn7768_329"
><td id="329"><a href="#329">329</a></td></tr
><tr id="gr_svn7768_330"
><td id="330"><a href="#330">330</a></td></tr
><tr id="gr_svn7768_331"
><td id="331"><a href="#331">331</a></td></tr
><tr id="gr_svn7768_332"
><td id="332"><a href="#332">332</a></td></tr
><tr id="gr_svn7768_333"
><td id="333"><a href="#333">333</a></td></tr
><tr id="gr_svn7768_334"
><td id="334"><a href="#334">334</a></td></tr
><tr id="gr_svn7768_335"
><td id="335"><a href="#335">335</a></td></tr
><tr id="gr_svn7768_336"
><td id="336"><a href="#336">336</a></td></tr
><tr id="gr_svn7768_337"
><td id="337"><a href="#337">337</a></td></tr
><tr id="gr_svn7768_338"
><td id="338"><a href="#338">338</a></td></tr
><tr id="gr_svn7768_339"
><td id="339"><a href="#339">339</a></td></tr
><tr id="gr_svn7768_340"
><td id="340"><a href="#340">340</a></td></tr
><tr id="gr_svn7768_341"
><td id="341"><a href="#341">341</a></td></tr
><tr id="gr_svn7768_342"
><td id="342"><a href="#342">342</a></td></tr
><tr id="gr_svn7768_343"
><td id="343"><a href="#343">343</a></td></tr
><tr id="gr_svn7768_344"
><td id="344"><a href="#344">344</a></td></tr
><tr id="gr_svn7768_345"
><td id="345"><a href="#345">345</a></td></tr
><tr id="gr_svn7768_346"
><td id="346"><a href="#346">346</a></td></tr
><tr id="gr_svn7768_347"
><td id="347"><a href="#347">347</a></td></tr
><tr id="gr_svn7768_348"
><td id="348"><a href="#348">348</a></td></tr
><tr id="gr_svn7768_349"
><td id="349"><a href="#349">349</a></td></tr
><tr id="gr_svn7768_350"
><td id="350"><a href="#350">350</a></td></tr
><tr id="gr_svn7768_351"
><td id="351"><a href="#351">351</a></td></tr
><tr id="gr_svn7768_352"
><td id="352"><a href="#352">352</a></td></tr
><tr id="gr_svn7768_353"
><td id="353"><a href="#353">353</a></td></tr
><tr id="gr_svn7768_354"
><td id="354"><a href="#354">354</a></td></tr
><tr id="gr_svn7768_355"
><td id="355"><a href="#355">355</a></td></tr
><tr id="gr_svn7768_356"
><td id="356"><a href="#356">356</a></td></tr
><tr id="gr_svn7768_357"
><td id="357"><a href="#357">357</a></td></tr
><tr id="gr_svn7768_358"
><td id="358"><a href="#358">358</a></td></tr
><tr id="gr_svn7768_359"
><td id="359"><a href="#359">359</a></td></tr
><tr id="gr_svn7768_360"
><td id="360"><a href="#360">360</a></td></tr
><tr id="gr_svn7768_361"
><td id="361"><a href="#361">361</a></td></tr
><tr id="gr_svn7768_362"
><td id="362"><a href="#362">362</a></td></tr
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><td id="441"><a href="#441">441</a></td></tr
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><td id="446"><a href="#446">446</a></td></tr
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></table></pre>
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<pre class="prettyprint"><table width="100%"><tr class="cursor_stop cursor_hidden"><td></td></tr></table></pre>
<pre class="prettyprint lang-java"><table id="src_table_0"><tr
id=sl_svn7768_1
><td class="source">/* -*- mode: java; c-basic-offset: 2; indent-tabs-mode: nil -*- */<br></td></tr
><tr
id=sl_svn7768_2
><td class="source"><br></td></tr
><tr
id=sl_svn7768_3
><td class="source">/*<br></td></tr
><tr
id=sl_svn7768_4
><td class="source"> Part of the Processing project - http://processing.org<br></td></tr
><tr
id=sl_svn7768_5
><td class="source"><br></td></tr
><tr
id=sl_svn7768_6
><td class="source"> Copyright (c) 2005-08 Ben Fry and Casey Reas<br></td></tr
><tr
id=sl_svn7768_7
><td class="source"><br></td></tr
><tr
id=sl_svn7768_8
><td class="source"> This library is free software; you can redistribute it and/or<br></td></tr
><tr
id=sl_svn7768_9
><td class="source"> modify it under the terms of the GNU Lesser General Public<br></td></tr
><tr
id=sl_svn7768_10
><td class="source"> License as published by the Free Software Foundation; either<br></td></tr
><tr
id=sl_svn7768_11
><td class="source"> version 2.1 of the License, or (at your option) any later version.<br></td></tr
><tr
id=sl_svn7768_12
><td class="source"><br></td></tr
><tr
id=sl_svn7768_13
><td class="source"> This library is distributed in the hope that it will be useful,<br></td></tr
><tr
id=sl_svn7768_14
><td class="source"> but WITHOUT ANY WARRANTY; without even the implied warranty of<br></td></tr
><tr
id=sl_svn7768_15
><td class="source"> MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU<br></td></tr
><tr
id=sl_svn7768_16
><td class="source"> Lesser General Public License for more details.<br></td></tr
><tr
id=sl_svn7768_17
><td class="source"><br></td></tr
><tr
id=sl_svn7768_18
><td class="source"> You should have received a copy of the GNU Lesser General<br></td></tr
><tr
id=sl_svn7768_19
><td class="source"> Public License along with this library; if not, write to the<br></td></tr
><tr
id=sl_svn7768_20
><td class="source"> Free Software Foundation, Inc., 59 Temple Place, Suite 330,<br></td></tr
><tr
id=sl_svn7768_21
><td class="source"> Boston, MA 02111-1307 USA<br></td></tr
><tr
id=sl_svn7768_22
><td class="source">*/<br></td></tr
><tr
id=sl_svn7768_23
><td class="source"><br></td></tr
><tr
id=sl_svn7768_24
><td class="source">package processing.core;<br></td></tr
><tr
id=sl_svn7768_25
><td class="source"><br></td></tr
><tr
id=sl_svn7768_26
><td class="source"><br></td></tr
><tr
id=sl_svn7768_27
><td class="source">/**<br></td></tr
><tr
id=sl_svn7768_28
><td class="source"> * 3x2 affine matrix implementation.<br></td></tr
><tr
id=sl_svn7768_29
><td class="source"> */<br></td></tr
><tr
id=sl_svn7768_30
><td class="source">public class PMatrix2D implements PMatrix {<br></td></tr
><tr
id=sl_svn7768_31
><td class="source"><br></td></tr
><tr
id=sl_svn7768_32
><td class="source"> public float m00, m01, m02;<br></td></tr
><tr
id=sl_svn7768_33
><td class="source"> public float m10, m11, m12;<br></td></tr
><tr
id=sl_svn7768_34
><td class="source"><br></td></tr
><tr
id=sl_svn7768_35
><td class="source"><br></td></tr
><tr
id=sl_svn7768_36
><td class="source"> public PMatrix2D() {<br></td></tr
><tr
id=sl_svn7768_37
><td class="source"> reset();<br></td></tr
><tr
id=sl_svn7768_38
><td class="source"> }<br></td></tr
><tr
id=sl_svn7768_39
><td class="source"><br></td></tr
><tr
id=sl_svn7768_40
><td class="source"><br></td></tr
><tr
id=sl_svn7768_41
><td class="source"> public PMatrix2D(float m00, float m01, float m02,<br></td></tr
><tr
id=sl_svn7768_42
><td class="source"> float m10, float m11, float m12) {<br></td></tr
><tr
id=sl_svn7768_43
><td class="source"> set(m00, m01, m02,<br></td></tr
><tr
id=sl_svn7768_44
><td class="source"> m10, m11, m12);<br></td></tr
><tr
id=sl_svn7768_45
><td class="source"> }<br></td></tr
><tr
id=sl_svn7768_46
><td class="source"><br></td></tr
><tr
id=sl_svn7768_47
><td class="source"><br></td></tr
><tr
id=sl_svn7768_48
><td class="source"> public PMatrix2D(PMatrix matrix) {<br></td></tr
><tr
id=sl_svn7768_49
><td class="source"> set(matrix);<br></td></tr
><tr
id=sl_svn7768_50
><td class="source"> }<br></td></tr
><tr
id=sl_svn7768_51
><td class="source"><br></td></tr
><tr
id=sl_svn7768_52
><td class="source"><br></td></tr
><tr
id=sl_svn7768_53
><td class="source"> public void reset() {<br></td></tr
><tr
id=sl_svn7768_54
><td class="source"> set(1, 0, 0,<br></td></tr
><tr
id=sl_svn7768_55
><td class="source"> 0, 1, 0);<br></td></tr
><tr
id=sl_svn7768_56
><td class="source"> }<br></td></tr
><tr
id=sl_svn7768_57
><td class="source"><br></td></tr
><tr
id=sl_svn7768_58
><td class="source"><br></td></tr
><tr
id=sl_svn7768_59
><td class="source"> /**<br></td></tr
><tr
id=sl_svn7768_60
><td class="source"> * Returns a copy of this PMatrix.<br></td></tr
><tr
id=sl_svn7768_61
><td class="source"> */<br></td></tr
><tr
id=sl_svn7768_62
><td class="source"> public PMatrix2D get() {<br></td></tr
><tr
id=sl_svn7768_63
><td class="source"> PMatrix2D outgoing = new PMatrix2D();<br></td></tr
><tr
id=sl_svn7768_64
><td class="source"> outgoing.set(this);<br></td></tr
><tr
id=sl_svn7768_65
><td class="source"> return outgoing;<br></td></tr
><tr
id=sl_svn7768_66
><td class="source"> }<br></td></tr
><tr
id=sl_svn7768_67
><td class="source"><br></td></tr
><tr
id=sl_svn7768_68
><td class="source"><br></td></tr
><tr
id=sl_svn7768_69
><td class="source"> /**<br></td></tr
><tr
id=sl_svn7768_70
><td class="source"> * Copies the matrix contents into a 6 entry float array.<br></td></tr
><tr
id=sl_svn7768_71
><td class="source"> * If target is null (or not the correct size), a new array will be created.<br></td></tr
><tr
id=sl_svn7768_72
><td class="source"> */<br></td></tr
><tr
id=sl_svn7768_73
><td class="source"> public float[] get(float[] target) {<br></td></tr
><tr
id=sl_svn7768_74
><td class="source"> if ((target == null) || (target.length != 6)) {<br></td></tr
><tr
id=sl_svn7768_75
><td class="source"> target = new float[6];<br></td></tr
><tr
id=sl_svn7768_76
><td class="source"> }<br></td></tr
><tr
id=sl_svn7768_77
><td class="source"> target[0] = m00;<br></td></tr
><tr
id=sl_svn7768_78
><td class="source"> target[1] = m01;<br></td></tr
><tr
id=sl_svn7768_79
><td class="source"> target[2] = m02;<br></td></tr
><tr
id=sl_svn7768_80
><td class="source"><br></td></tr
><tr
id=sl_svn7768_81
><td class="source"> target[3] = m10;<br></td></tr
><tr
id=sl_svn7768_82
><td class="source"> target[4] = m11;<br></td></tr
><tr
id=sl_svn7768_83
><td class="source"> target[5] = m12;<br></td></tr
><tr
id=sl_svn7768_84
><td class="source"><br></td></tr
><tr
id=sl_svn7768_85
><td class="source"> return target;<br></td></tr
><tr
id=sl_svn7768_86
><td class="source"> }<br></td></tr
><tr
id=sl_svn7768_87
><td class="source"><br></td></tr
><tr
id=sl_svn7768_88
><td class="source"><br></td></tr
><tr
id=sl_svn7768_89
><td class="source"> public void set(PMatrix matrix) {<br></td></tr
><tr
id=sl_svn7768_90
><td class="source"> if (matrix instanceof PMatrix2D) {<br></td></tr
><tr
id=sl_svn7768_91
><td class="source"> PMatrix2D src = (PMatrix2D) matrix;<br></td></tr
><tr
id=sl_svn7768_92
><td class="source"> set(src.m00, src.m01, src.m02,<br></td></tr
><tr
id=sl_svn7768_93
><td class="source"> src.m10, src.m11, src.m12);<br></td></tr
><tr
id=sl_svn7768_94
><td class="source"> } else {<br></td></tr
><tr
id=sl_svn7768_95
><td class="source"> throw new IllegalArgumentException(&quot;PMatrix2D.set() only accepts PMatrix2D objects.&quot;);<br></td></tr
><tr
id=sl_svn7768_96
><td class="source"> }<br></td></tr
><tr
id=sl_svn7768_97
><td class="source"> }<br></td></tr
><tr
id=sl_svn7768_98
><td class="source"><br></td></tr
><tr
id=sl_svn7768_99
><td class="source"><br></td></tr
><tr
id=sl_svn7768_100
><td class="source"> public void set(PMatrix3D src) {<br></td></tr
><tr
id=sl_svn7768_101
><td class="source"> }<br></td></tr
><tr
id=sl_svn7768_102
><td class="source"><br></td></tr
><tr
id=sl_svn7768_103
><td class="source"><br></td></tr
><tr
id=sl_svn7768_104
><td class="source"> public void set(float[] source) {<br></td></tr
><tr
id=sl_svn7768_105
><td class="source"> m00 = source[0];<br></td></tr
><tr
id=sl_svn7768_106
><td class="source"> m01 = source[1];<br></td></tr
><tr
id=sl_svn7768_107
><td class="source"> m02 = source[2];<br></td></tr
><tr
id=sl_svn7768_108
><td class="source"><br></td></tr
><tr
id=sl_svn7768_109
><td class="source"> m10 = source[3];<br></td></tr
><tr
id=sl_svn7768_110
><td class="source"> m11 = source[4];<br></td></tr
><tr
id=sl_svn7768_111
><td class="source"> m12 = source[5];<br></td></tr
><tr
id=sl_svn7768_112
><td class="source"> }<br></td></tr
><tr
id=sl_svn7768_113
><td class="source"><br></td></tr
><tr
id=sl_svn7768_114
><td class="source"><br></td></tr
><tr
id=sl_svn7768_115
><td class="source"> public void set(float m00, float m01, float m02,<br></td></tr
><tr
id=sl_svn7768_116
><td class="source"> float m10, float m11, float m12) {<br></td></tr
><tr
id=sl_svn7768_117
><td class="source"> this.m00 = m00; this.m01 = m01; this.m02 = m02;<br></td></tr
><tr
id=sl_svn7768_118
><td class="source"> this.m10 = m10; this.m11 = m11; this.m12 = m12;<br></td></tr
><tr
id=sl_svn7768_119
><td class="source"> }<br></td></tr
><tr
id=sl_svn7768_120
><td class="source"><br></td></tr
><tr
id=sl_svn7768_121
><td class="source"><br></td></tr
><tr
id=sl_svn7768_122
><td class="source"> public void set(float m00, float m01, float m02, float m03,<br></td></tr
><tr
id=sl_svn7768_123
><td class="source"> float m10, float m11, float m12, float m13,<br></td></tr
><tr
id=sl_svn7768_124
><td class="source"> float m20, float m21, float m22, float m23,<br></td></tr
><tr
id=sl_svn7768_125
><td class="source"> float m30, float m31, float m32, float m33) {<br></td></tr
><tr
id=sl_svn7768_126
><td class="source"><br></td></tr
><tr
id=sl_svn7768_127
><td class="source"> }<br></td></tr
><tr
id=sl_svn7768_128
><td class="source"><br></td></tr
><tr
id=sl_svn7768_129
><td class="source"><br></td></tr
><tr
id=sl_svn7768_130
><td class="source"> public void translate(float tx, float ty) {<br></td></tr
><tr
id=sl_svn7768_131
><td class="source"> m02 = tx*m00 + ty*m01 + m02;<br></td></tr
><tr
id=sl_svn7768_132
><td class="source"> m12 = tx*m10 + ty*m11 + m12;<br></td></tr
><tr
id=sl_svn7768_133
><td class="source"> }<br></td></tr
><tr
id=sl_svn7768_134
><td class="source"><br></td></tr
><tr
id=sl_svn7768_135
><td class="source"><br></td></tr
><tr
id=sl_svn7768_136
><td class="source"> public void translate(float x, float y, float z) {<br></td></tr
><tr
id=sl_svn7768_137
><td class="source"> throw new IllegalArgumentException(&quot;Cannot use translate(x, y, z) on a PMatrix2D.&quot;);<br></td></tr
><tr
id=sl_svn7768_138
><td class="source"> }<br></td></tr
><tr
id=sl_svn7768_139
><td class="source"><br></td></tr
><tr
id=sl_svn7768_140
><td class="source"><br></td></tr
><tr
id=sl_svn7768_141
><td class="source"> // Implementation roughly based on AffineTransform.<br></td></tr
><tr
id=sl_svn7768_142
><td class="source"> public void rotate(float angle) {<br></td></tr
><tr
id=sl_svn7768_143
><td class="source"> float s = sin(angle);<br></td></tr
><tr
id=sl_svn7768_144
><td class="source"> float c = cos(angle);<br></td></tr
><tr
id=sl_svn7768_145
><td class="source"><br></td></tr
><tr
id=sl_svn7768_146
><td class="source"> float temp1 = m00;<br></td></tr
><tr
id=sl_svn7768_147
><td class="source"> float temp2 = m01;<br></td></tr
><tr
id=sl_svn7768_148
><td class="source"> m00 = c * temp1 + s * temp2;<br></td></tr
><tr
id=sl_svn7768_149
><td class="source"> m01 = -s * temp1 + c * temp2;<br></td></tr
><tr
id=sl_svn7768_150
><td class="source"> temp1 = m10;<br></td></tr
><tr
id=sl_svn7768_151
><td class="source"> temp2 = m11;<br></td></tr
><tr
id=sl_svn7768_152
><td class="source"> m10 = c * temp1 + s * temp2;<br></td></tr
><tr
id=sl_svn7768_153
><td class="source"> m11 = -s * temp1 + c * temp2;<br></td></tr
><tr
id=sl_svn7768_154
><td class="source"> }<br></td></tr
><tr
id=sl_svn7768_155
><td class="source"><br></td></tr
><tr
id=sl_svn7768_156
><td class="source"><br></td></tr
><tr
id=sl_svn7768_157
><td class="source"> public void rotateX(float angle) {<br></td></tr
><tr
id=sl_svn7768_158
><td class="source"> throw new IllegalArgumentException(&quot;Cannot use rotateX() on a PMatrix2D.&quot;);<br></td></tr
><tr
id=sl_svn7768_159
><td class="source"> }<br></td></tr
><tr
id=sl_svn7768_160
><td class="source"><br></td></tr
><tr
id=sl_svn7768_161
><td class="source"><br></td></tr
><tr
id=sl_svn7768_162
><td class="source"> public void rotateY(float angle) {<br></td></tr
><tr
id=sl_svn7768_163
><td class="source"> throw new IllegalArgumentException(&quot;Cannot use rotateY() on a PMatrix2D.&quot;);<br></td></tr
><tr
id=sl_svn7768_164
><td class="source"> }<br></td></tr
><tr
id=sl_svn7768_165
><td class="source"><br></td></tr
><tr
id=sl_svn7768_166
><td class="source"><br></td></tr
><tr
id=sl_svn7768_167
><td class="source"> public void rotateZ(float angle) {<br></td></tr
><tr
id=sl_svn7768_168
><td class="source"> rotate(angle);<br></td></tr
><tr
id=sl_svn7768_169
><td class="source"> }<br></td></tr
><tr
id=sl_svn7768_170
><td class="source"><br></td></tr
><tr
id=sl_svn7768_171
><td class="source"><br></td></tr
><tr
id=sl_svn7768_172
><td class="source"> public void rotate(float angle, float v0, float v1, float v2) {<br></td></tr
><tr
id=sl_svn7768_173
><td class="source"> throw new IllegalArgumentException(&quot;Cannot use this version of rotate() on a PMatrix2D.&quot;);<br></td></tr
><tr
id=sl_svn7768_174
><td class="source"> }<br></td></tr
><tr
id=sl_svn7768_175
><td class="source"><br></td></tr
><tr
id=sl_svn7768_176
><td class="source"><br></td></tr
><tr
id=sl_svn7768_177
><td class="source"> public void scale(float s) {<br></td></tr
><tr
id=sl_svn7768_178
><td class="source"> scale(s, s);<br></td></tr
><tr
id=sl_svn7768_179
><td class="source"> }<br></td></tr
><tr
id=sl_svn7768_180
><td class="source"><br></td></tr
><tr
id=sl_svn7768_181
><td class="source"><br></td></tr
><tr
id=sl_svn7768_182
><td class="source"> public void scale(float sx, float sy) {<br></td></tr
><tr
id=sl_svn7768_183
><td class="source"> m00 *= sx; m01 *= sy;<br></td></tr
><tr
id=sl_svn7768_184
><td class="source"> m10 *= sx; m11 *= sy;<br></td></tr
><tr
id=sl_svn7768_185
><td class="source"> }<br></td></tr
><tr
id=sl_svn7768_186
><td class="source"><br></td></tr
><tr
id=sl_svn7768_187
><td class="source"><br></td></tr
><tr
id=sl_svn7768_188
><td class="source"> public void scale(float x, float y, float z) {<br></td></tr
><tr
id=sl_svn7768_189
><td class="source"> throw new IllegalArgumentException(&quot;Cannot use this version of scale() on a PMatrix2D.&quot;);<br></td></tr
><tr
id=sl_svn7768_190
><td class="source"> }<br></td></tr
><tr
id=sl_svn7768_191
><td class="source"><br></td></tr
><tr
id=sl_svn7768_192
><td class="source"><br></td></tr
><tr
id=sl_svn7768_193
><td class="source"> public void shearX(float angle) {<br></td></tr
><tr
id=sl_svn7768_194
><td class="source"> apply(1, 0, 1, tan(angle), 0, 0);<br></td></tr
><tr
id=sl_svn7768_195
><td class="source"> }<br></td></tr
><tr
id=sl_svn7768_196
><td class="source"><br></td></tr
><tr
id=sl_svn7768_197
><td class="source"><br></td></tr
><tr
id=sl_svn7768_198
><td class="source"> public void shearY(float angle) {<br></td></tr
><tr
id=sl_svn7768_199
><td class="source"> apply(1, 0, 1, 0, tan(angle), 0);<br></td></tr
><tr
id=sl_svn7768_200
><td class="source"> }<br></td></tr
><tr
id=sl_svn7768_201
><td class="source"><br></td></tr
><tr
id=sl_svn7768_202
><td class="source"><br></td></tr
><tr
id=sl_svn7768_203
><td class="source"> public void apply(PMatrix source) {<br></td></tr
><tr
id=sl_svn7768_204
><td class="source"> if (source instanceof PMatrix2D) {<br></td></tr
><tr
id=sl_svn7768_205
><td class="source"> apply((PMatrix2D) source);<br></td></tr
><tr
id=sl_svn7768_206
><td class="source"> } else if (source instanceof PMatrix3D) {<br></td></tr
><tr
id=sl_svn7768_207
><td class="source"> apply((PMatrix3D) source);<br></td></tr
><tr
id=sl_svn7768_208
><td class="source"> }<br></td></tr
><tr
id=sl_svn7768_209
><td class="source"> }<br></td></tr
><tr
id=sl_svn7768_210
><td class="source"><br></td></tr
><tr
id=sl_svn7768_211
><td class="source"><br></td></tr
><tr
id=sl_svn7768_212
><td class="source"> public void apply(PMatrix2D source) {<br></td></tr
><tr
id=sl_svn7768_213
><td class="source"> apply(source.m00, source.m01, source.m02,<br></td></tr
><tr
id=sl_svn7768_214
><td class="source"> source.m10, source.m11, source.m12);<br></td></tr
><tr
id=sl_svn7768_215
><td class="source"> }<br></td></tr
><tr
id=sl_svn7768_216
><td class="source"><br></td></tr
><tr
id=sl_svn7768_217
><td class="source"><br></td></tr
><tr
id=sl_svn7768_218
><td class="source"> public void apply(PMatrix3D source) {<br></td></tr
><tr
id=sl_svn7768_219
><td class="source"> throw new IllegalArgumentException(&quot;Cannot use apply(PMatrix3D) on a PMatrix2D.&quot;);<br></td></tr
><tr
id=sl_svn7768_220
><td class="source"> }<br></td></tr
><tr
id=sl_svn7768_221
><td class="source"><br></td></tr
><tr
id=sl_svn7768_222
><td class="source"><br></td></tr
><tr
id=sl_svn7768_223
><td class="source"> public void apply(float n00, float n01, float n02,<br></td></tr
><tr
id=sl_svn7768_224
><td class="source"> float n10, float n11, float n12) {<br></td></tr
><tr
id=sl_svn7768_225
><td class="source"> float t0 = m00;<br></td></tr
><tr
id=sl_svn7768_226
><td class="source"> float t1 = m01;<br></td></tr
><tr
id=sl_svn7768_227
><td class="source"> m00 = n00 * t0 + n10 * t1;<br></td></tr
><tr
id=sl_svn7768_228
><td class="source"> m01 = n01 * t0 + n11 * t1;<br></td></tr
><tr
id=sl_svn7768_229
><td class="source"> m02 += n02 * t0 + n12 * t1;<br></td></tr
><tr
id=sl_svn7768_230
><td class="source"><br></td></tr
><tr
id=sl_svn7768_231
><td class="source"> t0 = m10;<br></td></tr
><tr
id=sl_svn7768_232
><td class="source"> t1 = m11;<br></td></tr
><tr
id=sl_svn7768_233
><td class="source"> m10 = n00 * t0 + n10 * t1;<br></td></tr
><tr
id=sl_svn7768_234
><td class="source"> m11 = n01 * t0 + n11 * t1;<br></td></tr
><tr
id=sl_svn7768_235
><td class="source"> m12 += n02 * t0 + n12 * t1;<br></td></tr
><tr
id=sl_svn7768_236
><td class="source"> }<br></td></tr
><tr
id=sl_svn7768_237
><td class="source"><br></td></tr
><tr
id=sl_svn7768_238
><td class="source"><br></td></tr
><tr
id=sl_svn7768_239
><td class="source"> public void apply(float n00, float n01, float n02, float n03,<br></td></tr
><tr
id=sl_svn7768_240
><td class="source"> float n10, float n11, float n12, float n13,<br></td></tr
><tr
id=sl_svn7768_241
><td class="source"> float n20, float n21, float n22, float n23,<br></td></tr
><tr
id=sl_svn7768_242
><td class="source"> float n30, float n31, float n32, float n33) {<br></td></tr
><tr
id=sl_svn7768_243
><td class="source"> throw new IllegalArgumentException(&quot;Cannot use this version of apply() on a PMatrix2D.&quot;);<br></td></tr
><tr
id=sl_svn7768_244
><td class="source"> }<br></td></tr
><tr
id=sl_svn7768_245
><td class="source"><br></td></tr
><tr
id=sl_svn7768_246
><td class="source"><br></td></tr
><tr
id=sl_svn7768_247
><td class="source"> /**<br></td></tr
><tr
id=sl_svn7768_248
><td class="source"> * Apply another matrix to the left of this one.<br></td></tr
><tr
id=sl_svn7768_249
><td class="source"> */<br></td></tr
><tr
id=sl_svn7768_250
><td class="source"> public void preApply(PMatrix2D left) {<br></td></tr
><tr
id=sl_svn7768_251
><td class="source"> preApply(left.m00, left.m01, left.m02,<br></td></tr
><tr
id=sl_svn7768_252
><td class="source"> left.m10, left.m11, left.m12);<br></td></tr
><tr
id=sl_svn7768_253
><td class="source"> }<br></td></tr
><tr
id=sl_svn7768_254
><td class="source"><br></td></tr
><tr
id=sl_svn7768_255
><td class="source"><br></td></tr
><tr
id=sl_svn7768_256
><td class="source"> public void preApply(PMatrix3D left) {<br></td></tr
><tr
id=sl_svn7768_257
><td class="source"> throw new IllegalArgumentException(&quot;Cannot use preApply(PMatrix3D) on a PMatrix2D.&quot;);<br></td></tr
><tr
id=sl_svn7768_258
><td class="source"> }<br></td></tr
><tr
id=sl_svn7768_259
><td class="source"><br></td></tr
><tr
id=sl_svn7768_260
><td class="source"><br></td></tr
><tr
id=sl_svn7768_261
><td class="source"> public void preApply(float n00, float n01, float n02,<br></td></tr
><tr
id=sl_svn7768_262
><td class="source"> float n10, float n11, float n12) {<br></td></tr
><tr
id=sl_svn7768_263
><td class="source"> float t0 = m02;<br></td></tr
><tr
id=sl_svn7768_264
><td class="source"> float t1 = m12;<br></td></tr
><tr
id=sl_svn7768_265
><td class="source"> n02 += t0 * n00 + t1 * n01;<br></td></tr
><tr
id=sl_svn7768_266
><td class="source"> n12 += t0 * n10 + t1 * n11;<br></td></tr
><tr
id=sl_svn7768_267
><td class="source"><br></td></tr
><tr
id=sl_svn7768_268
><td class="source"> m02 = n02;<br></td></tr
><tr
id=sl_svn7768_269
><td class="source"> m12 = n12;<br></td></tr
><tr
id=sl_svn7768_270
><td class="source"><br></td></tr
><tr
id=sl_svn7768_271
><td class="source"> t0 = m00;<br></td></tr
><tr
id=sl_svn7768_272
><td class="source"> t1 = m10;<br></td></tr
><tr
id=sl_svn7768_273
><td class="source"> m00 = t0 * n00 + t1 * n01;<br></td></tr
><tr
id=sl_svn7768_274
><td class="source"> m10 = t0 * n10 + t1 * n11;<br></td></tr
><tr
id=sl_svn7768_275
><td class="source"><br></td></tr
><tr
id=sl_svn7768_276
><td class="source"> t0 = m01;<br></td></tr
><tr
id=sl_svn7768_277
><td class="source"> t1 = m11;<br></td></tr
><tr
id=sl_svn7768_278
><td class="source"> m01 = t0 * n00 + t1 * n01;<br></td></tr
><tr
id=sl_svn7768_279
><td class="source"> m11 = t0 * n10 + t1 * n11;<br></td></tr
><tr
id=sl_svn7768_280
><td class="source"> }<br></td></tr
><tr
id=sl_svn7768_281
><td class="source"><br></td></tr
><tr
id=sl_svn7768_282
><td class="source"><br></td></tr
><tr
id=sl_svn7768_283
><td class="source"> public void preApply(float n00, float n01, float n02, float n03,<br></td></tr
><tr
id=sl_svn7768_284
><td class="source"> float n10, float n11, float n12, float n13,<br></td></tr
><tr
id=sl_svn7768_285
><td class="source"> float n20, float n21, float n22, float n23,<br></td></tr
><tr
id=sl_svn7768_286
><td class="source"> float n30, float n31, float n32, float n33) {<br></td></tr
><tr
id=sl_svn7768_287
><td class="source"> throw new IllegalArgumentException(&quot;Cannot use this version of preApply() on a PMatrix2D.&quot;);<br></td></tr
><tr
id=sl_svn7768_288
><td class="source"> }<br></td></tr
><tr
id=sl_svn7768_289
><td class="source"><br></td></tr
><tr
id=sl_svn7768_290
><td class="source"><br></td></tr
><tr
id=sl_svn7768_291
><td class="source"> //////////////////////////////////////////////////////////////<br></td></tr
><tr
id=sl_svn7768_292
><td class="source"><br></td></tr
><tr
id=sl_svn7768_293
><td class="source"><br></td></tr
><tr
id=sl_svn7768_294
><td class="source"> /**<br></td></tr
><tr
id=sl_svn7768_295
><td class="source"> * Multiply the x and y coordinates of a PVector against this matrix.<br></td></tr
><tr
id=sl_svn7768_296
><td class="source"> */<br></td></tr
><tr
id=sl_svn7768_297
><td class="source"> public PVector mult(PVector source, PVector target) {<br></td></tr
><tr
id=sl_svn7768_298
><td class="source"> if (target == null) {<br></td></tr
><tr
id=sl_svn7768_299
><td class="source"> target = new PVector();<br></td></tr
><tr
id=sl_svn7768_300
><td class="source"> }<br></td></tr
><tr
id=sl_svn7768_301
><td class="source"> target.x = m00*source.x + m01*source.y + m02;<br></td></tr
><tr
id=sl_svn7768_302
><td class="source"> target.y = m10*source.x + m11*source.y + m12;<br></td></tr
><tr
id=sl_svn7768_303
><td class="source"> return target;<br></td></tr
><tr
id=sl_svn7768_304
><td class="source"> }<br></td></tr
><tr
id=sl_svn7768_305
><td class="source"><br></td></tr
><tr
id=sl_svn7768_306
><td class="source"><br></td></tr
><tr
id=sl_svn7768_307
><td class="source"> /**<br></td></tr
><tr
id=sl_svn7768_308
><td class="source"> * Multiply a two element vector against this matrix.<br></td></tr
><tr
id=sl_svn7768_309
><td class="source"> * If out is null or not length four, a new float array will be returned.<br></td></tr
><tr
id=sl_svn7768_310
><td class="source"> * The values for vec and out can be the same (though that&#39;s less efficient).<br></td></tr
><tr
id=sl_svn7768_311
><td class="source"> */<br></td></tr
><tr
id=sl_svn7768_312
><td class="source"> public float[] mult(float vec[], float out[]) {<br></td></tr
><tr
id=sl_svn7768_313
><td class="source"> if (out == null || out.length != 2) {<br></td></tr
><tr
id=sl_svn7768_314
><td class="source"> out = new float[2];<br></td></tr
><tr
id=sl_svn7768_315
><td class="source"> }<br></td></tr
><tr
id=sl_svn7768_316
><td class="source"><br></td></tr
><tr
id=sl_svn7768_317
><td class="source"> if (vec == out) {<br></td></tr
><tr
id=sl_svn7768_318
><td class="source"> float tx = m00*vec[0] + m01*vec[1] + m02;<br></td></tr
><tr
id=sl_svn7768_319
><td class="source"> float ty = m10*vec[0] + m11*vec[1] + m12;<br></td></tr
><tr
id=sl_svn7768_320
><td class="source"><br></td></tr
><tr
id=sl_svn7768_321
><td class="source"> out[0] = tx;<br></td></tr
><tr
id=sl_svn7768_322
><td class="source"> out[1] = ty;<br></td></tr
><tr
id=sl_svn7768_323
><td class="source"><br></td></tr
><tr
id=sl_svn7768_324
><td class="source"> } else {<br></td></tr
><tr
id=sl_svn7768_325
><td class="source"> out[0] = m00*vec[0] + m01*vec[1] + m02;<br></td></tr
><tr
id=sl_svn7768_326
><td class="source"> out[1] = m10*vec[0] + m11*vec[1] + m12;<br></td></tr
><tr
id=sl_svn7768_327
><td class="source"> }<br></td></tr
><tr
id=sl_svn7768_328
><td class="source"><br></td></tr
><tr
id=sl_svn7768_329
><td class="source"> return out;<br></td></tr
><tr
id=sl_svn7768_330
><td class="source"> }<br></td></tr
><tr
id=sl_svn7768_331
><td class="source"><br></td></tr
><tr
id=sl_svn7768_332
><td class="source"><br></td></tr
><tr
id=sl_svn7768_333
><td class="source"> public float multX(float x, float y) {<br></td></tr
><tr
id=sl_svn7768_334
><td class="source"> return m00*x + m01*y + m02;<br></td></tr
><tr
id=sl_svn7768_335
><td class="source"> }<br></td></tr
><tr
id=sl_svn7768_336
><td class="source"><br></td></tr
><tr
id=sl_svn7768_337
><td class="source"><br></td></tr
><tr
id=sl_svn7768_338
><td class="source"> public float multY(float x, float y) {<br></td></tr
><tr
id=sl_svn7768_339
><td class="source"> return m10*x + m11*y + m12;<br></td></tr
><tr
id=sl_svn7768_340
><td class="source"> }<br></td></tr
><tr
id=sl_svn7768_341
><td class="source"><br></td></tr
><tr
id=sl_svn7768_342
><td class="source"><br></td></tr
><tr
id=sl_svn7768_343
><td class="source"> /**<br></td></tr
><tr
id=sl_svn7768_344
><td class="source"> * Transpose this matrix.<br></td></tr
><tr
id=sl_svn7768_345
><td class="source"> */<br></td></tr
><tr
id=sl_svn7768_346
><td class="source"> public void transpose() {<br></td></tr
><tr
id=sl_svn7768_347
><td class="source"> }<br></td></tr
><tr
id=sl_svn7768_348
><td class="source"><br></td></tr
><tr
id=sl_svn7768_349
><td class="source"><br></td></tr
><tr
id=sl_svn7768_350
><td class="source"> /**<br></td></tr
><tr
id=sl_svn7768_351
><td class="source"> * Invert this matrix. Implementation stolen from OpenJDK.<br></td></tr
><tr
id=sl_svn7768_352
><td class="source"> * @return true if successful<br></td></tr
><tr
id=sl_svn7768_353
><td class="source"> */<br></td></tr
><tr
id=sl_svn7768_354
><td class="source"> public boolean invert() {<br></td></tr
><tr
id=sl_svn7768_355
><td class="source"> float determinant = determinant();<br></td></tr
><tr
id=sl_svn7768_356
><td class="source"> if (Math.abs(determinant) &lt;= Float.MIN_VALUE) {<br></td></tr
><tr
id=sl_svn7768_357
><td class="source"> return false;<br></td></tr
><tr
id=sl_svn7768_358
><td class="source"> }<br></td></tr
><tr
id=sl_svn7768_359
><td class="source"><br></td></tr
><tr
id=sl_svn7768_360
><td class="source"> float t00 = m00;<br></td></tr
><tr
id=sl_svn7768_361
><td class="source"> float t01 = m01;<br></td></tr
><tr
id=sl_svn7768_362
><td class="source"> float t02 = m02;<br></td></tr
><tr
id=sl_svn7768_363
><td class="source"> float t10 = m10;<br></td></tr
><tr
id=sl_svn7768_364
><td class="source"> float t11 = m11;<br></td></tr
><tr
id=sl_svn7768_365
><td class="source"> float t12 = m12;<br></td></tr
><tr
id=sl_svn7768_366
><td class="source"><br></td></tr
><tr
id=sl_svn7768_367
><td class="source"> m00 = t11 / determinant;<br></td></tr
><tr
id=sl_svn7768_368
><td class="source"> m10 = -t10 / determinant;<br></td></tr
><tr
id=sl_svn7768_369
><td class="source"> m01 = -t01 / determinant;<br></td></tr
><tr
id=sl_svn7768_370
><td class="source"> m11 = t00 / determinant;<br></td></tr
><tr
id=sl_svn7768_371
><td class="source"> m02 = (t01 * t12 - t11 * t02) / determinant;<br></td></tr
><tr
id=sl_svn7768_372
><td class="source"> m12 = (t10 * t02 - t00 * t12) / determinant;<br></td></tr
><tr
id=sl_svn7768_373
><td class="source"><br></td></tr
><tr
id=sl_svn7768_374
><td class="source"> return true;<br></td></tr
><tr
id=sl_svn7768_375
><td class="source"> }<br></td></tr
><tr
id=sl_svn7768_376
><td class="source"><br></td></tr
><tr
id=sl_svn7768_377
><td class="source"><br></td></tr
><tr
id=sl_svn7768_378
><td class="source"> /**<br></td></tr
><tr
id=sl_svn7768_379
><td class="source"> * @return the determinant of the matrix<br></td></tr
><tr
id=sl_svn7768_380
><td class="source"> */<br></td></tr
><tr
id=sl_svn7768_381
><td class="source"> public float determinant() {<br></td></tr
><tr
id=sl_svn7768_382
><td class="source"> return m00 * m11 - m01 * m10;<br></td></tr
><tr
id=sl_svn7768_383
><td class="source"> }<br></td></tr
><tr
id=sl_svn7768_384
><td class="source"><br></td></tr
><tr
id=sl_svn7768_385
><td class="source"><br></td></tr
><tr
id=sl_svn7768_386
><td class="source"> //////////////////////////////////////////////////////////////<br></td></tr
><tr
id=sl_svn7768_387
><td class="source"><br></td></tr
><tr
id=sl_svn7768_388
><td class="source"><br></td></tr
><tr
id=sl_svn7768_389
><td class="source"> public void print() {<br></td></tr
><tr
id=sl_svn7768_390
><td class="source"> int big = (int) abs(max(PApplet.max(abs(m00), abs(m01), abs(m02)),<br></td></tr
><tr
id=sl_svn7768_391
><td class="source"> PApplet.max(abs(m10), abs(m11), abs(m12))));<br></td></tr
><tr
id=sl_svn7768_392
><td class="source"><br></td></tr
><tr
id=sl_svn7768_393
><td class="source"> int digits = 1;<br></td></tr
><tr
id=sl_svn7768_394
><td class="source"> if (Float.isNaN(big) || Float.isInfinite(big)) { // avoid infinite loop<br></td></tr
><tr
id=sl_svn7768_395
><td class="source"> digits = 5;<br></td></tr
><tr
id=sl_svn7768_396
><td class="source"> } else {<br></td></tr
><tr
id=sl_svn7768_397
><td class="source"> while ((big /= 10) != 0) digits++; // cheap log()<br></td></tr
><tr
id=sl_svn7768_398
><td class="source"> }<br></td></tr
><tr
id=sl_svn7768_399
><td class="source"><br></td></tr
><tr
id=sl_svn7768_400
><td class="source"> System.out.println(PApplet.nfs(m00, digits, 4) + &quot; &quot; +<br></td></tr
><tr
id=sl_svn7768_401
><td class="source"> PApplet.nfs(m01, digits, 4) + &quot; &quot; +<br></td></tr
><tr
id=sl_svn7768_402
><td class="source"> PApplet.nfs(m02, digits, 4));<br></td></tr
><tr
id=sl_svn7768_403
><td class="source"><br></td></tr
><tr
id=sl_svn7768_404
><td class="source"> System.out.println(PApplet.nfs(m10, digits, 4) + &quot; &quot; +<br></td></tr
><tr
id=sl_svn7768_405
><td class="source"> PApplet.nfs(m11, digits, 4) + &quot; &quot; +<br></td></tr
><tr
id=sl_svn7768_406
><td class="source"> PApplet.nfs(m12, digits, 4));<br></td></tr
><tr
id=sl_svn7768_407
><td class="source"><br></td></tr
><tr
id=sl_svn7768_408
><td class="source"> System.out.println();<br></td></tr
><tr
id=sl_svn7768_409
><td class="source"> }<br></td></tr
><tr
id=sl_svn7768_410
><td class="source"><br></td></tr
><tr
id=sl_svn7768_411
><td class="source"><br></td></tr
><tr
id=sl_svn7768_412
><td class="source"> //////////////////////////////////////////////////////////////<br></td></tr
><tr
id=sl_svn7768_413
><td class="source"><br></td></tr
><tr
id=sl_svn7768_414
><td class="source"> // TODO these need to be added as regular API, but the naming and <br></td></tr
><tr
id=sl_svn7768_415
><td class="source"> // implementation needs to be improved first. (e.g. actually keeping track<br></td></tr
><tr
id=sl_svn7768_416
><td class="source"> // of whether the matrix is in fact identity internally.)<br></td></tr
><tr
id=sl_svn7768_417
><td class="source"><br></td></tr
><tr
id=sl_svn7768_418
><td class="source"> <br></td></tr
><tr
id=sl_svn7768_419
><td class="source"> protected boolean isIdentity() {<br></td></tr
><tr
id=sl_svn7768_420
><td class="source"> return ((m00 == 1) &amp;&amp; (m01 == 0) &amp;&amp; (m02 == 0) &amp;&amp;<br></td></tr
><tr
id=sl_svn7768_421
><td class="source"> (m10 == 0) &amp;&amp; (m11 == 1) &amp;&amp; (m12 == 0));<br></td></tr
><tr
id=sl_svn7768_422
><td class="source"> }<br></td></tr
><tr
id=sl_svn7768_423
><td class="source"><br></td></tr
><tr
id=sl_svn7768_424
><td class="source"><br></td></tr
><tr
id=sl_svn7768_425
><td class="source"> // TODO make this more efficient, or move into PMatrix2D<br></td></tr
><tr
id=sl_svn7768_426
><td class="source"> protected boolean isWarped() {<br></td></tr
><tr
id=sl_svn7768_427
><td class="source"> return ((m00 != 1) || (m01 != 0) &amp;&amp; <br></td></tr
><tr
id=sl_svn7768_428
><td class="source"> (m10 != 0) || (m11 != 1));<br></td></tr
><tr
id=sl_svn7768_429
><td class="source"> }<br></td></tr
><tr
id=sl_svn7768_430
><td class="source"><br></td></tr
><tr
id=sl_svn7768_431
><td class="source"><br></td></tr
><tr
id=sl_svn7768_432
><td class="source"> //////////////////////////////////////////////////////////////<br></td></tr
><tr
id=sl_svn7768_433
><td class="source"><br></td></tr
><tr
id=sl_svn7768_434
><td class="source"> <br></td></tr
><tr
id=sl_svn7768_435
><td class="source"> private final float max(float a, float b) {<br></td></tr
><tr
id=sl_svn7768_436
><td class="source"> return (a &gt; b) ? a : b;<br></td></tr
><tr
id=sl_svn7768_437
><td class="source"> }<br></td></tr
><tr
id=sl_svn7768_438
><td class="source"><br></td></tr
><tr
id=sl_svn7768_439
><td class="source"> private final float abs(float a) {<br></td></tr
><tr
id=sl_svn7768_440
><td class="source"> return (a &lt; 0) ? -a : a;<br></td></tr
><tr
id=sl_svn7768_441
><td class="source"> }<br></td></tr
><tr
id=sl_svn7768_442
><td class="source"><br></td></tr
><tr
id=sl_svn7768_443
><td class="source"> private final float sin(float angle) {<br></td></tr
><tr
id=sl_svn7768_444
><td class="source"> return (float)Math.sin(angle);<br></td></tr
><tr
id=sl_svn7768_445
><td class="source"> }<br></td></tr
><tr
id=sl_svn7768_446
><td class="source"><br></td></tr
><tr
id=sl_svn7768_447
><td class="source"> private final float cos(float angle) {<br></td></tr
><tr
id=sl_svn7768_448
><td class="source"> return (float)Math.cos(angle);<br></td></tr
><tr
id=sl_svn7768_449
><td class="source"> }<br></td></tr
><tr
id=sl_svn7768_450
><td class="source"><br></td></tr
><tr
id=sl_svn7768_451
><td class="source"> private final float tan(float angle) {<br></td></tr
><tr
id=sl_svn7768_452
><td class="source"> return (float)Math.tan(angle);<br></td></tr
><tr
id=sl_svn7768_453
><td class="source"> }<br></td></tr
><tr
id=sl_svn7768_454
><td class="source">}<br></td></tr
></table></pre>
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<a href="/p/processing/source/detail?spec=svn7768&r=7133">r7133</a>
by f...@processing.org
on Jul 18, 2010
&nbsp; <a href="/p/processing/source/diff?spec=svn7768&r=7133&amp;format=side&amp;path=/trunk/processing/core/src/processing/core/PMatrix2D.java&amp;old_path=/trunk/processing/core/src/processing/core/PMatrix2D.java&amp;old=6524">Diff</a>
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<pre>change skewX/Y to shearX/Y</pre>
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<p>Older revisions</p>
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<a href="/p/processing/source/detail?spec=svn7768&r=6524">r6524</a>
by fry
on Mar 23, 2010
&nbsp; <a href="/p/processing/source/diff?spec=svn7768&r=6524&amp;format=side&amp;path=/trunk/processing/core/src/processing/core/PMatrix2D.java&amp;old_path=/trunk/processing/core/src/processing/core/PMatrix2D.java&amp;old=5141">Diff</a>
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<pre class="ifOpened">added skewX/Y (bug #1448) and fixed
bugs in its implementation
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<a href="/p/processing/source/detail?spec=svn7768&r=5141">r5141</a>
by fry
on Nov 18, 2008
&nbsp; <a href="/p/processing/source/diff?spec=svn7768&r=5141&amp;format=side&amp;path=/trunk/processing/core/src/processing/core/PMatrix2D.java&amp;old_path=/trunk/processing/core/src/processing/core/PMatrix2D.java&amp;old=4997">Diff</a>
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<pre class="ifOpened">major work to bring back P2D... so far
rect() set up properly, now dealing
with begin/endShape issues
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<a href="/p/processing/source/detail?spec=svn7768&r=4997">r4997</a>
by fry
on Oct 21, 2008
&nbsp; <a href="/p/processing/source/diff?spec=svn7768&r=4997&amp;format=side&amp;path=/trunk/processing/core/src/processing/core/PMatrix2D.java&amp;old_path=/trunk/processing/core/src/processing/core/PMatrix2D.java&amp;old=4731">Diff</a>
<br>
<pre class="ifOpened">adding style attributes for svg, also
fix the spacing in the file
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