The main point of this simulation is to show that light rays leaving an object travel in straight lines. The simulation has two light bulbs that can be turned on or off independently. The bulbs can be dragged around the screen to change their positions. The light from the bulbs either passes through a mask with a hole in it, or it is blocked by an object, as it travels to a screen on the right of the simulation. Investigate how the patterns of light and shadows change as you move the bulbs, the mask or object, and/or the screen, and as you change the size of the mask or object.
For more info: http://weelookang.blogspot.sg/2013/08/refraction-model.html
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-ymask - ysource2;\nlowermasktopangle = Math.atan2(y1,x1);\nif (lowermasktopangle < 0.0) \n lowermasktopangle = lowermasktopangle + 2.0*Math.PI;\n\nx1 = xscreen - xsource2;\nlowscreenpoint2 = ysource2 + x1*Math.tan(lowermasktopangle);\nhighscreenpoint2 = ysource2 + x1*Math.tan(uppermaskbottomangle);" }, { "Name": "lookang", "Active": "true", "Internal": "false", "Type": "CODE_EDITOR", "Comment": "", "Code": "x1 = xscreen - xsource3;//\ny1 = screenheight - ysource3;//\nscreentopangle = Math.atan2(y1,x1);\nif (screentopangle < 0.0) \n screentopangle = screentopangle + 2.0*Math.PI;\n\ny1 = -screenheight - ysource3;//\nscreenbottomangle = Math.atan2(y1,x1);\nif (screenbottomangle < 0.0) \n screenbottomangle = screenbottomangle + 2.0*Math.PI;\n\nx1 = xmask-xsource3;//\ny1 = maxymask - ysource3;//\nuppermasktopangle = Math.atan2(y1,x1);\nif (uppermasktopangle < 0.0) \n uppermasktopangle = uppermasktopangle + 2.0*Math.PI;\n\ny1 = ymask - ysource3;//\nuppermaskbottomangle = Math.atan2(y1,x1);\nif (uppermaskbottomangle < 0.0) \n uppermaskbottomangle = uppermaskbottomangle + 2.0*Math.PI;\n\ny1 = -maxymask - ysource3;//\nlowermaskbottomangle = Math.atan2(y1,x1);\nif (lowermaskbottomangle < 0.0) \n lowermaskbottomangle = lowermaskbottomangle + 2.0*Math.PI;\n\ny1 = -ymask - ysource3;//\nlowermasktopangle = Math.atan2(y1,x1);\nif (lowermasktopangle < 0.0) \n lowermasktopangle = lowermasktopangle + 2.0*Math.PI;\n\nx1 = xscreen - xsource3;//\nlowscreenpoint3 = ysource3 + x1*Math.tan(lowermasktopangle);\nhighscreenpoint3 = ysource3 + x1*Math.tan(uppermaskbottomangle);" } ] }, "evolution": { "information": { "FPS": "20", "SPD": "1", "RealTimeVariable": "", "Autoplay": "false" }, "pages": [ { "Name": "Evol Page", "Active": "true", "Internal": "false", "Type": "ODE_EDITOR", "Comment": "", "IndependentVariable": "t", "Increment": "dt", "Equations": [ { "state": "xsource", "rate": "vxsource" }, { "state": "ysource", "rate": "vysource" }, { "state": "xsource2", "rate": "vxsource2" }, { "state": "ysource2", "rate": "vysource2" } ], "Method": "RungeKutta", "AbsoluteTolerance": "0.00001", "PreliminaryCode": { "Code": "", "Comment": "Code to be executed before rate equations are evaluated" }, "EventMaximumStep": "", "Events": { "pages": [ { "Type": "EVENT_EDITOR", "Name": "Event", "Active": "true", "Internal": "false", "EventType": "CROSSING_EVENT", "Method": "BISECTION", "Iterations": "100", "Tolerance": "1.0e-5", "StopAtEvent": "true", "ZeroCondition": "return xsource - minxsource;", "Action": "vxsource =-vxsource;\n", "Comment": "" }, { "Type": "EVENT_EDITOR", "Name": "Event 4", "Active": "false", "Internal": "false", "EventType": "CROSSING_EVENT", "Method": "BISECTION", "Iterations": "100", "Tolerance": "1.0e-5", "StopAtEvent": "true", "ZeroCondition": "return xsource2 - minxsource;", "Action": "vxsource2 =-vxsource2;\n", "Comment": "" }, { "Type": "EVENT_EDITOR", "Name": "Event 4 2", "Active": "false", "Internal": "false", "EventType": "CROSSING_EVENT", "Method": "BISECTION", "Iterations": "100", "Tolerance": "1.0e-5", "StopAtEvent": "true", "ZeroCondition": "return xsource3 - minxsource;", "Action": "vxsource3 =-vxsource3;\n", "Comment": "" }, { "Type": "EVENT_EDITOR", "Name": "Event 2", "Active": "true", "Internal": "false", "EventType": "CROSSING_EVENT", "Method": "BISECTION", "Iterations": "100", "Tolerance": "1.0e-5", "StopAtEvent": "true", "ZeroCondition": "return xsource - maxxsource;", "Action": "//[\"user_defined\",\"light travel in straight line\",\"a shadow is formed when an object blocks the path of light\",\"decrease distance of source, increase shadow size casted\",\"increase object size/shape, increase shadow size/shape casted\",\"increase screen distance, increase shadow size casted\"]\nif (_view.comboBox.getProperty(\"SelectedOptions\")==\"decrease distance of source, increase shadow size casted\"){\n _pause();\n playPauseButtonDisabled=true\n //vxsource =-vxsource;\n }\n else{\nvxsource =-vxsource;\n}", "Comment": "" }, { "Type": "EVENT_EDITOR", "Name": "Event 2 2", "Active": "false", "Internal": "false", "EventType": "CROSSING_EVENT", "Method": "BISECTION", "Iterations": "100", "Tolerance": "1.0e-5", "StopAtEvent": "true", "ZeroCondition": "return xsource2 - maxxsource;", "Action": "vxsource2 =-vxsource2;\n", "Comment": "" }, { "Type": "EVENT_EDITOR", "Name": "Event 2 2 2", "Active": "true", "Internal": "false", "EventType": "CROSSING_EVENT", "Method": "BISECTION", "Iterations": "100", "Tolerance": "1.0e-5", "StopAtEvent": "true", "ZeroCondition": "return xsource3 - maxxsource;", "Action": "vxsource3 =-vxsource3;\n", "Comment": "" }, { "Type": "EVENT_EDITOR", "Name": "Event 3", "Active": "true", "Internal": "false", "EventType": "CROSSING_EVENT", "Method": "BISECTION", "Iterations": "100", "Tolerance": "1.0e-5", "StopAtEvent": "true", "ZeroCondition": "return ysource - minysource;", "Action": "vysource =-vysource;\n", "Comment": "" }, { "Type": "EVENT_EDITOR", "Name": "Event 3 3", "Active": "false", "Internal": "false", "EventType": "CROSSING_EVENT", "Method": "BISECTION", "Iterations": "100", "Tolerance": "1.0e-5", "StopAtEvent": "true", "ZeroCondition": "return ysource2 - minysource;", "Action": "vysource2 =-vysource;\n", "Comment": "" }, { "Type": "EVENT_EDITOR", "Name": "Event 3 3 2", "Active": "false", "Internal": "false", "EventType": "CROSSING_EVENT", "Method": "BISECTION", "Iterations": "100", "Tolerance": "1.0e-5", "StopAtEvent": "true", "ZeroCondition": "return ysource3 - minysource;", "Action": "vysource3 =-vysource;\n", "Comment": "" }, { "Type": "EVENT_EDITOR", "Name": "Event 3 2", "Active": "true", "Internal": "false", "EventType": "CROSSING_EVENT", "Method": "BISECTION", "Iterations": "100", "Tolerance": "1.0e-5", "StopAtEvent": "true", "ZeroCondition": "return ysource - maxysource;", "Action": "vysource =-vysource;\n", "Comment": "" }, { "Type": "EVENT_EDITOR", "Name": "Event 3 2 2", "Active": "true", "Internal": "false", "EventType": "CROSSING_EVENT", "Method": "BISECTION", "Iterations": "100", "Tolerance": "1.0e-5", "StopAtEvent": "true", "ZeroCondition": "return ysource2 - maxysource;", "Action": "vysource2 =-vysource2;\n", "Comment": "" }, { "Type": "EVENT_EDITOR", "Name": "Event 3 2 2 2", "Active": "true", "Internal": "false", "EventType": "CROSSING_EVENT", "Method": "BISECTION", "Iterations": "100", "Tolerance": "1.0e-5", "StopAtEvent": "true", "ZeroCondition": "return ysource3 - maxysource;", "Action": "vysource3 =-vysource3;\n", "Comment": "" } ] }, "ZenoEffect": { "Code": "", "Comment": "", "StopAfterEffect": "true" }, "AccelerationIndependentOfVelocity": "false", "ForceSynchronization": "false", "UseBestInterpolation": "false", "EstimateFirstStep": "false", "MemoryLength": "", "InternalStep": "", "MaximumStep": "", "MaximumNumberOfSteps": "10000", "RelativeTolerance": "", "DelayList": "", "DelayMaximum": "", "DelayAddDiscont": "", "DelayInitialCondition": { "Code": "", "Comment": "" }, "DirectIncidenceMatrix": "", "Discontinuities": { "pages": [] }, "ErrorHandling": { "pages": [] } }, { "Name": "Evol Page 2", "Active": "true", "Internal": "false", "Type": "ODE_EDITOR", "Comment": "", "IndependentVariable": "t", "Increment": "dt2", "Equations": [ { "state": "ymask", "rate": "vymask" } ], "Method": "RungeKutta", "AbsoluteTolerance": "0.00001", "PreliminaryCode": { "Code": "", "Comment": "Code to be executed before rate equations are evaluated" }, "EventMaximumStep": "", "Events": { "pages": [ { "Type": "EVENT_EDITOR", "Name": "Event", "Active": "true", "Internal": "false", "EventType": "CROSSING_EVENT", "Method": "BISECTION", "Iterations": "100", "Tolerance": "1.0e-5", "StopAtEvent": "true", "ZeroCondition": "return ymask - maxymask;", "Action": "//[\"user_defined\",\"light travel in straight line\",\"a shadow is formed when an object blocks the path of light\",\"decrease distance of source, increase shadow size casted\",\"increase object size/shape, increase shadow size/shape casted\",\"increase screen distance, increase shadow size casted\"]\nif (_view.comboBox.getProperty(\"SelectedOptions\")==\"increase object size/shape, increase shadow size/shape casted\"){\n _pause();\n }\n else{\nvymask = -vymask;\n}\n", "Comment": "" }, { "Type": "EVENT_EDITOR", "Name": "Event 2", "Active": "true", "Internal": "false", "EventType": "CROSSING_EVENT", "Method": "BISECTION", "Iterations": "100", "Tolerance": "1.0e-5", "StopAtEvent": "true", "ZeroCondition": "return ymask - minymask;", "Action": "vymask = -vymask;", "Comment": "" } ] }, "ZenoEffect": { "Code": "", "Comment": "", "StopAfterEffect": "true" }, "AccelerationIndependentOfVelocity": "false", "ForceSynchronization": "false", "UseBestInterpolation": "false", "EstimateFirstStep": "false", "MemoryLength": "", "InternalStep": "", "MaximumStep": "", "MaximumNumberOfSteps": "10000", "RelativeTolerance": "", "DelayList": "", "DelayMaximum": "", "DelayAddDiscont": "", "DelayInitialCondition": { "Code": "", "Comment": "" }, "DirectIncidenceMatrix": "", "Discontinuities": { "pages": [] }, "ErrorHandling": { "pages": [] } }, { "Name": "Evol Page 3", "Active": "true", "Internal": "false", "Type": "ODE_EDITOR", "Comment": "", "IndependentVariable": "t", "Increment": "dt3", "Equations": [ { "state": "xscreen", "rate": "vxscreen" } ], "Method": "RungeKutta", "AbsoluteTolerance": "0.00001", "PreliminaryCode": { "Code": "", "Comment": "Code to be executed before rate equations are evaluated" }, "EventMaximumStep": "", "Events": { "pages": [ { "Type": "EVENT_EDITOR", "Name": "Event", "Active": "true", "Internal": "false", "EventType": "CROSSING_EVENT", "Method": "BISECTION", "Iterations": "100", "Tolerance": "1.0e-5", "StopAtEvent": "true", "ZeroCondition": "return xscreen - maxxscreen;", "Action": "//[\"user_defined\",\"light travel in straight line\",\"a shadow is formed when an object blocks the path of light\",\"decrease distance of source, increase shadow size casted\",\"increase object size/shape, increase shadow size/shape casted\",\"increase screen distance, increase shadow size casted\"]\nif (_view.comboBox.getProperty(\"SelectedOptions\")==\"increase screen distance, increase shadow size casted\"){\n _pause();\n }\n else{\nvxscreen = -vxscreen;\n}\n\n", "Comment": "" }, { "Type": "EVENT_EDITOR", "Name": "Event 2", "Active": "true", "Internal": "false", "EventType": "CROSSING_EVENT", "Method": "BISECTION", "Iterations": "100", "Tolerance": "1.0e-5", "StopAtEvent": "true", "ZeroCondition": "return xscreen - minxscreen;", "Action": "vxscreen = -vxscreen;", "Comment": "" } ] }, "ZenoEffect": { "Code": "", "Comment": "", "StopAfterEffect": "true" }, "AccelerationIndependentOfVelocity": "false", "ForceSynchronization": "false", "UseBestInterpolation": "false", "EstimateFirstStep": "false", "MemoryLength": "", "InternalStep": "", "MaximumStep": "", "MaximumNumberOfSteps": "10000", "RelativeTolerance": "", "DelayList": "", "DelayMaximum": "", "DelayAddDiscont": "", "DelayInitialCondition": { "Code": "", "Comment": "" }, "DirectIncidenceMatrix": "", "Discontinuities": { "pages": [] }, "ErrorHandling": { "pages": [] } } ] }, "fixed_relations": { "pages": [ { "Name": "Cons Page", "Active": "true", "Internal": "false", "Type": "CODE_EDITOR", "Comment": "", "Code": "//TT: Added the [[x,y], [x1,y1] ...] format for all sources to be used in polygon objects\n\nredsourcexy[0][0] = redsourcex[0] = xsource;\nredsourcexy[0][1] = redsourcey[0] = ysource;\nredsourcexy[1][0] = redsourcex[1] = xsource + (minxmask - maxxsource);\nredsourcexy[1][1] = redsourcey[1] = -ymax;\nredsourcexy[2][0] = redsourcex[2] = xmask;\nredsourcexy[2][1] = redsourcey[2] = -ymax;\nredsourcexy[3][0] = redsourcex[3] = xmask;\nredsourcexy[3][1] = redsourcey[3] = ymax;\nredsourcexy[4][0] = redsourcex[4] = xsource + (minxmask - maxxsource);\nredsourcexy[4][1] = redsourcey[4] = ymax;\n\nfor (var counter=0; counter<4 /* Iterations */ ; counter++)\n{\n redsource[counter]= \"\" + counter;\n}\n\nbluesourcexy[0][0] = bluesourcex[0] = xsource2;\nbluesourcexy[0][1] = bluesourcey[0] = ysource2;\nbluesourcexy[1][0] = bluesourcex[1] = xsource2 + (minxmask - maxxsource);\nbluesourcexy[1][1] = bluesourcey[1] = -ymax;\nbluesourcexy[2][0] = bluesourcex[2] = xmask;\nbluesourcexy[2][1] = bluesourcey[2] = -ymax;\nbluesourcexy[3][0] = bluesourcex[3] = xmask;\nbluesourcexy[3][1] = bluesourcey[3] = ymax;\nbluesourcexy[4][0] = bluesourcex[4] = xsource2 + (minxmask - maxxsource);\nbluesourcexy[4][1] = bluesourcey[4] = ymax;\n\ngreensourcexy[0][0] = greensourcex[0] = xsource3;\ngreensourcexy[0][1] = greensourcey[0] = ysource3;\ngreensourcexy[1][0] = greensourcex[1] = xsource3 + (minxmask - maxxsource);\ngreensourcexy[1][1] = greensourcey[1] = -ymax;\ngreensourcexy[2][0] = greensourcex[2] = xmask;\ngreensourcexy[2][1] = greensourcey[2] = -ymax;\ngreensourcexy[3][0] = greensourcex[3] = xmask;\ngreensourcexy[3][1] = greensourcey[3] = ymax;\ngreensourcexy[4][0] = greensourcex[4] = xsource3 + (minxmask - maxxsource);\ngreensourcexy[4][1] = greensourcey[4] = ymax;\n\n\nredpolyxy[0][0] = redpolyx[0] = xmask;\nredpolyxy[0][1] = redpolyy[0] = ymask;\nredpolyxy[1][0] = redpolyx[1] = xmask;\nredpolyxy[1][1] = redpolyy[1] = -ymask;\nredpolyxy[2][0] = redpolyx[2] = xscreen;\nredpolyxy[2][1] = redpolyy[2] = lowscreenpoint;\nredpolyxy[3][0] = redpolyx[3] = xscreen;\nredpolyxy[3][1] = redpolyy[3] = highscreenpoint;\n\nbluepolyxy[0][0] = bluepolyx[0] = xmask;\nbluepolyxy[0][1] = bluepolyy[0] = ymask;\nbluepolyxy[1][0] = bluepolyx[1] = xmask;\nbluepolyxy[1][1] = bluepolyy[1] = -ymask;\nbluepolyxy[2][0] = bluepolyx[2] = xscreen;\nbluepolyxy[2][1] = bluepolyy[2] = lowscreenpoint2;\nbluepolyxy[3][0] = bluepolyx[3] = xscreen;\nbluepolyxy[3][1] = bluepolyy[3] = highscreenpoint2;\n\ngreenpolyxy[0][0] = greenpolyx[0] = xmask;\ngreenpolyxy[0][1] = greenpolyy[0] = ymask;\ngreenpolyxy[1][0] = greenpolyx[1] = xmask;\ngreenpolyxy[1][1] = greenpolyy[1] = -ymask;\ngreenpolyxy[2][0] = greenpolyx[2] = xscreen;\ngreenpolyxy[2][1] = greenpolyy[2] = lowscreenpoint3;\ngreenpolyxy[3][0] = greenpolyx[3] = xscreen;\ngreenpolyxy[3][1] = greenpolyy[3] = highscreenpoint3;\n\n//object\n\nredpoly2Axy[0][0] = redpoly2Ax[0] = xmask;\nredpoly2Axy[0][1] = redpoly2Ay[0] = ymax;\nredpoly2Axy[1][0] = redpoly2Ax[1] = xmask;\nredpoly2Axy[1][1] = redpoly2Ay[1] = ymask;\nredpoly2Axy[2][0] = redpoly2Ax[2] = xscreen;\nredpoly2Axy[2][1] = redpoly2Ay[2] = highscreenpoint;\nredpoly2Axy[3][0] = redpoly2Ax[3] = xscreen;\nredpoly2Axy[3][1] = redpoly2Ay[3] = ymax;\n\nbluepoly2Axy[0][0] = bluepoly2Ax[0] = xmask;\nbluepoly2Axy[0][1] = bluepoly2Ay[0] = ymax;\nbluepoly2Axy[1][0] = bluepoly2Ax[1] = xmask;\nbluepoly2Axy[1][1] = bluepoly2Ay[1] = ymask;\nbluepoly2Axy[2][0] = bluepoly2Ax[2] = xscreen;\nbluepoly2Axy[2][1] = bluepoly2Ay[2] = highscreenpoint2;\nbluepoly2Axy[3][0] = bluepoly2Ax[3] = xscreen;\nbluepoly2Axy[3][1] = bluepoly2Ay[3] = ymax;\n\ngreenpoly2Axy[0][0] = greenpoly2Ax[0] = xmask;\ngreenpoly2Axy[0][1] = greenpoly2Ay[0] = ymax;\ngreenpoly2Axy[1][0] = greenpoly2Ax[1] = xmask;\ngreenpoly2Axy[1][1] = greenpoly2Ay[1] = ymask;\ngreenpoly2Axy[2][0] = greenpoly2Ax[2] = xscreen;\ngreenpoly2Axy[2][1] = greenpoly2Ay[2] = highscreenpoint3;\ngreenpoly2Axy[3][0] = greenpoly2Ax[3] = xscreen;\ngreenpoly2Axy[3][1] = greenpoly2Ay[3] = ymax;\n\n\nredpoly2Bxy[0][0] = redpoly2Bx[0] = xmask;\nredpoly2Bxy[0][1] = redpoly2By[0] = -ymax;\nredpoly2Bxy[1][0] = redpoly2Bx[1] = xmask;\nredpoly2Bxy[1][1] = redpoly2By[1] = -ymask;\nredpoly2Bxy[2][0] = redpoly2Bx[2] = xscreen;\nredpoly2Bxy[2][1] = redpoly2By[2] = lowscreenpoint;\nredpoly2Bxy[3][0] = redpoly2Bx[3] = xscreen;\nredpoly2Bxy[3][1] = redpoly2By[3] = -ymax;\n\nbluepoly2Bxy[0][0] = bluepoly2Bx[0] = xmask;\nbluepoly2Bxy[0][1] = bluepoly2By[0] = -ymax;\nbluepoly2Bxy[1][0] = bluepoly2Bx[1] = xmask;\nbluepoly2Bxy[1][1] = bluepoly2By[1] = -ymask;\nbluepoly2Bxy[2][0] = bluepoly2Bx[2] = xscreen;\nbluepoly2Bxy[2][1] = bluepoly2By[2] = lowscreenpoint2;\nbluepoly2Bxy[3][0] = bluepoly2Bx[3] = xscreen;\nbluepoly2Bxy[3][1] = bluepoly2By[3] = -ymax;\n\ngreenpoly2Bxy[0][0] = greenpoly2Bx[0] = xmask;\ngreenpoly2Bxy[0][1] = greenpoly2By[0] = -ymax;\ngreenpoly2Bxy[1][0] = greenpoly2Bx[1] = xmask;\ngreenpoly2Bxy[1][1] = greenpoly2By[1] = -ymask;\ngreenpoly2Bxy[2][0] = greenpoly2Bx[2] = xscreen;\ngreenpoly2Bxy[2][1] = greenpoly2By[2] = lowscreenpoint3;\ngreenpoly2Bxy[3][0] = greenpoly2Bx[3] = xscreen;\ngreenpoly2Bxy[3][1] = greenpoly2By[3] = -ymax;\n\n// add fake polygon\ngradient1 = (ymask-ysource)/(xmask-xsource);\nintercept1 = ymask-gradient1*xmask;\nfakexy[0][0] = fakex[0] = xscreen;\nfakexy[0][1] = fakey[0] = gradient1*xscreen + intercept1;\n\ngradient2 = (-ymask-ysource2)/(xmask-xsource2);\nintercept2 = -ymask-gradient2*xmask;\nfakexy[1][0] = fakex[1] = xscreen;\nfakexy[1][1] = fakey[1] = gradient2*xscreen+intercept2;\n\nfakexy[2][0] = fakevisiblex = fakex[2] = (intercept2-intercept1)/(gradient1-gradient2);\nfakexy[2][1] = fakey[2] = gradient1*fakex[2]+intercept1;\n\n\nif (maskflag) // if mask is on\n{\n if (ray1) \n {\n redpoly1Flag = true;\n }\n else\n {\n redpoly1Flag = false;\n }\n \n if (ray2)\n {\n bluepoly1Flag = true;\n }\n else\n {\n bluepoly1Flag = false;\n }\n\n //added lookang\n if (ray3) \n {\n greenpoly1Flag = true;\n }\n else\n {\n greenpoly1Flag = false;\n }\n \n redpoly2Flag = false;\n bluepoly2Flag = false;\n greenpoly2Flag = false;\n}\nelse // if object is on true\n{\n redpoly1Flag = false;\n bluepoly1Flag = false;\n greenpoly1Flag = false;\n \n if (ray1) \n {\n redpoly2Flag = true;\n }\n else\n {\n redpoly2Flag = false;\n }\n \n if (ray2)\n {\n bluepoly2Flag = true;\n }\n else\n {\n bluepoly2Flag = false;\n }\n \n if (ray3)\n {\n greenpoly2Flag = true;\n }\n else\n {\n greenpoly2Flag = false;\n }\n}\n" }, { "Name": "calculation", "Active": "true", "Internal": "false", "Type": "CODE_EDITOR", "Comment": "", "Code": "\nx1 = xscreen - xsource;\ny1 = screenheight - ysource;\nscreentopangle = Math.atan2(y1,x1);\nif (screentopangle < 0.0) \n screentopangle = screentopangle + 2.0*Math.PI;\n\ny1 = -screenheight - ysource;\nscreenbottomangle = Math.atan2(y1,x1);\nif (screenbottomangle < 0.0) \n screenbottomangle = screenbottomangle + 2.0*Math.PI;\n\nx1 = xmask-xsource;\ny1 = maxymask - ysource;\nuppermasktopangle = Math.atan2(y1,x1);\nif (uppermasktopangle < 0.0)\n uppermasktopangle = uppermasktopangle + 2.0*Math.PI;\n\ny1 = ymask - ysource;\nuppermaskbottomangle = Math.atan2(y1,x1);\nif (uppermaskbottomangle < 0.0) \n uppermaskbottomangle = uppermaskbottomangle + 2.0*Math.PI;\n\ny1 = -maxymask - ysource;\nlowermaskbottomangle = Math.atan2(y1,x1);\nif (lowermaskbottomangle < 0.0) \n lowermaskbottomangle = lowermaskbottomangle + 2.0*Math.PI;\n\ny1 = -ymask - ysource;\nlowermasktopangle = Math.atan2(y1,x1);\nif (lowermasktopangle < 0.0) \n lowermasktopangle = lowermasktopangle + 2.0*Math.PI;\n\nx1 = xscreen - xsource;\nlowscreenpoint = ysource + x1*Math.tan(lowermasktopangle);\nhighscreenpoint = ysource + x1*Math.tan(uppermaskbottomangle);" }, { "Name": "calculation2", "Active": "true", "Internal": "false", "Type": "CODE_EDITOR", "Comment": "", "Code": "x1 = xscreen - xsource2;\ny1 = screenheight - ysource2;\nscreentopangle = Math.atan2(y1,x1);\nif (screentopangle < 0.0) \n screentopangle = screentopangle + 2.0*Math.PI;\n\ny1 = -screenheight - ysource2;\n\nscreenbottomangle = Math.atan2(y1,x1);\nif (screenbottomangle < 0.0) \n screenbottomangle = screenbottomangle + 2.0*Math.PI;\n\nx1 = xmask-xsource2;\ny1 = maxymask - ysource2;\nuppermasktopangle = Math.atan2(y1,x1);\nif (uppermasktopangle < 0.0) \n uppermasktopangle = uppermasktopangle + 2.0*Math.PI;\n\ny1 = ymask - ysource2;\nuppermaskbottomangle = Math.atan2(y1,x1);\nif (uppermaskbottomangle < 0.0) \n uppermaskbottomangle = uppermaskbottomangle + 2.0*Math.PI;\n\ny1 = -maxymask - ysource2;\nlowermaskbottomangle = Math.atan2(y1,x1);\nif (lowermaskbottomangle < 0.0) \n lowermaskbottomangle = lowermaskbottomangle + 2.0*Math.PI;\n\ny1 = -ymask - ysource2;\nlowermasktopangle = Math.atan2(y1,x1);\nif (lowermasktopangle < 0.0) \n lowermasktopangle = lowermasktopangle + 2.0*Math.PI;\n\nx1 = xscreen - xsource2;\nlowscreenpoint2 = ysource2 + x1*Math.tan(lowermasktopangle);\nhighscreenpoint2 = ysource2 + x1*Math.tan(uppermaskbottomangle);" }, { "Name": "color", "Active": "false", "Internal": "false", "Type": "CODE_EDITOR", "Comment": "", "Code": "// adapted from http://www.compadre.org/osp/items/detail.cfm?ID=10528&S=2\nvr = funcion(t,0.2,10.0);\nvg = funcion(t,0.7,2.0);\nvb = funcion(t,0.9,2.0);\n\nvresultado = vr;\nvcolor = \"rgba(\" + vr + \",\" + vg + \",\" + vb + \",1.0)\"; //new java.awt.Color(vr,vg,vb,255);\n\n//colormixing https://1001.io/mixing-real-life-colors-in-javascript-with-ryb/\nvar red = [255, 0, 0];\nvar green = [0, 255, 0];\nvar blue = [0, 0, 255];\nvar rSum = red[0] + green[0] + blue[0]; // 0\nvar gSum = red[1] + green[1] + blue[1]; // 255\nvar bSum = red[2] + green[2] + blue[2]; // 255\nvar max = Math.max(rSum, gSum, bSum); // 255\nif (showcolor ===true){\n\nvcolorr = \"rgba(\" + Math.floor(rSum / max) * 255 + \",\" + 0 + \",\" + 0 + \",\"+ transparency1 + \")\"; //new java.awt.Color(vr,vg,vb,transparency1);\nvcolorg = \"rgba(\" + 0 + \",\" + Math.floor(gSum / max) * 255 + \",\" + 0+ \",\"+transparency3 + \")\"; //new java.awt.Color(vr,vg,vb,transparency3);\nvcolorb = \"rgba(\" + 0 + \",\" + 0 + \",\" + Math.floor(bSum / max) * 255 + \",\"+transparency2 + \")\"; //new java.awt.Color(vr,vg,vb,transparency2);\n//vcolorr = mixingcolor (vr,0,0);\n//vcolorg =mixingcolor (0,vg,0);\n//vcolorb =mixingcolor (0,0,vb);\n}\nelse if (showcolor===false){\n\nvcolorr = \"rgba(\" + vr + \",\" + vg + \",\" + vb + \",\" + transparency1 + \")\"; //new java.awt.Color(vr,vg,vb,transparency1);\nvcolorg = \"rgba(\" + vr + \",\" + vg + \",\" + vb + \",\" + transparency3 + \")\"; //new java.awt.Color(vr,vg,vb,transparency3);\nvcolorb = \"rgba(\" + vr + \",\" + vg + \",\" + vb + \",\" + transparency2 + \")\"; //new java.awt.Color(vr,vg,vb,transparency2);\n}\n/*\nif (back==true){\nbackground = new java.awt.Color(0,0,0,255);\n}\nelse if (back==false){\nbackground = new java.awt.Color(0,0,0,0);\n}\n*/" }, { "Name": "calucaltion3", "Active": "true", "Internal": "false", "Type": "CODE_EDITOR", "Comment": "", "Code": "x1 = xscreen - xsource3;//\ny1 = screenheight - ysource3;//\nscreentopangle = Math.atan2(y1,x1);\nif (screentopangle < 0.0) \n screentopangle = screentopangle + 2.0*Math.PI;\n\ny1 = -screenheight - ysource3;//\nscreenbottomangle = Math.atan2(y1,x1);\nif (screenbottomangle < 0.0) \n screenbottomangle = screenbottomangle + 2.0*Math.PI;\n\nx1 = xmask-xsource3;//\ny1 = maxymask - ysource3;//\nuppermasktopangle = Math.atan2(y1,x1);\nif (uppermasktopangle < 0.0) \n uppermasktopangle = uppermasktopangle + 2.0*Math.PI;\n\ny1 = ymask - ysource3;//\nuppermaskbottomangle = Math.atan2(y1,x1);\nif (uppermaskbottomangle < 0.0) \n uppermaskbottomangle = uppermaskbottomangle + 2.0*Math.PI;\n\ny1 = -maxymask - ysource3;//\nlowermaskbottomangle = Math.atan2(y1,x1);\nif (lowermaskbottomangle < 0.0) \n lowermaskbottomangle = lowermaskbottomangle + 2.0*Math.PI;\n\ny1 = -ymask - ysource3;//\nlowermasktopangle = Math.atan2(y1,x1);\nif (lowermasktopangle < 0.0) \n lowermasktopangle = lowermasktopangle + 2.0*Math.PI;\n\nx1 = xscreen - xsource3;//\nlowscreenpoint3 = ysource3 + x1*Math.tan(lowermasktopangle);\nhighscreenpoint3 = ysource3 + x1*Math.tan(uppermaskbottomangle);" }, { "Name": "color 2", "Active": "true", "Internal": "false", "Type": "CODE_EDITOR", "Comment": "", "Code": "//vr = funcion(t,0.2,10.0);\n//vg = funcion(t,0.7,2.0);\n//vb = funcion(t,0.9,2.0);\nvr = 255;\nvg = 255;\nvb = 0; // yellow is 255,255,0\n\nvresultado = vr;\nvcolorr = \"rgba(\" + vr + \",\" + vg + \",\" + vb + \",\" + transparency1 + \")\"; //new java.awt.Color(vr,vg,vb,transparency1);\n//vcolorr = \"rgba(\" + vr + \",\" + vg + \",\" + vb + \",\" + transparency1 + \")\"; //new java.awt.Color(vr,vg,vb,transparency1);\nvcolorg = \"rgba(\" + vr + \",\" + vg + \",\" + vb + \",\" + transparency3 + \")\"; //new java.awt.Color(vr,vg,vb,transparency3);\nvcolorb = \"rgba(\" + vr + \",\" + vg + \",\" + vb + \",\" + transparency2 + \")\"; //new java.awt.Color(vr,vg,vb,transparency2);\n\n\n//console.log(xsource, xscreen);\n" }, { "Name": "intensity", "Active": "true", "Internal": "false", "Type": "CODE_EDITOR", "Comment": "", "Code": "//totalintensity=intensity1+intensity2+intensity3; \n// for sensor and mask on (hole)\nif (ysensor>redpolyxy[2][1]&&ysensor
Here\u2019s another video to deepen your understanding:
\n\n\n\n\n Or open it directly on YouTube: \n \n https://www.youtube.com/watch?v=vBFA5a8TSH4\n \n
\nThe first point of this simulation is to show that light rays leaving an object travel in straight lines.
\nThe simulation has one light bulb that can be turned on (high, mid or low) or off independently.
\nThe bulb can be dragged around the screen to change position.
\nThe light from the bulbs is blocked by an object, as it travels to a screen on the right of the simulation.
\nInvestigate how the patterns of light and shadows change as you move the bulb, the object, and/or the screen, and as you change the size of the object.
" } ] } ], "RootProperties": [] }, "metadata": { "APP": "WebEJS", "CreatedWith": "WebEJS : The web version of Easy JavaScript Simulations", "MoreInfo": "WebEJS 1.2", "version": "https://www.um.es/fem/wikis/webejs/" } }