mirror of
https://github.com/pseudoku/PseudoMakeMeKeyCapProfiles.git
synced 2024-12-04 20:36:27 +00:00
421 lines
20 KiB
OpenSCAD
421 lines
20 KiB
OpenSCAD
use <scad-utils/morphology.scad> //for cheaper minwoski
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use <scad-utils/transformations.scad>
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use <scad-utils/shapes.scad>
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use <scad-utils/trajectory.scad>
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use <scad-utils/trajectory_path.scad>
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use <sweep.scad>
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use <skin.scad>
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//DP (Distored Pyramidal) [Double Penetration] Profile
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//TODO add shift
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keycap(keyID = 9, cutLen = 0, Stem =true, Dish = true, visualizeDish = true, crossSection = false, homeDot = false, Legends = false);
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////fullsetee
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RowHome = [0,2.5,5,2.5,0,0];
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//for(Col = [4:4]){
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// for(Row = [1:3]){
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// translate([19*Col, 19*Row +RowHome[Col], 0])keycap(keyID = Col*4+Row, cutLen = 0, Stem = true, Dish = true, visualizeDish = false, crossSection = true);
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// }
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//}
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////// thumb
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// translate([-15, -4, 0])rotate([0,0,30])keycap(keyID = 0, cutLen = 0, Stem =false, Dish = true, visualizeDish = false, crossSection = false);
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// translate([10, 0, 0])rotate([0,0,15])keycap(keyID = 4, cutLen = 0, Stem =false, Dish = true, visualizeDish = false, crossSection = false);
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// translate([31, 2.2, 0])rotate([0,0,0])keycap(keyID = 8, cutLen = 0, Stem =false, Dish = true, visualizeDish = false, crossSection = false);
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//Parameters
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wallthickness = 1.75;
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topthickness = 2.5;
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stepsize = 30; //resolution of Trajectory
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step = 4; //resolution of ellipes
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fn = 32; //resolution of Rounded Rectangles: 60 for output
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layers = 30; //resolution of vertical Sweep: 50 for output
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//---Stem param
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slop = 0.3;
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stemRot = 0;
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stemWid = 7.2;
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stemLen = 5.5;
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stemCrossHeight = 4;
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extra_vertical = 0.6;
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stemLayers = 50; //resolution of stem to cap top transition
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dishLayers = 30;
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keyParameters = //keyParameters[KeyID][ParameterID]
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[
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// BotWid, BotLen, TWDif, TLDif, keyh, WSft, LSft XSkew, YSkew, ZSkew, WEx, LEx, CapR0i, CapR0f, CapR1i, CapR1f, CapREx, StemEx
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//Column 0
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[17.16, 17.16*1.5, 6, 6, 14, 0, 0, -13, -10, -5, 2, 2, 1, 5, 1, 3, 2, 2], //R5 0
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[17.16, 17.16, 6.5, 6.5, 8+4, 0, 0, 10, -10, -5, 2, 2, 1, 5, 1, 3, 2, 2], //R4
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[17.16, 17.16, 6.5, 6.5, 7+4, 0, 0, -2, -10, -5, 2, 2, 1, 5, 1, 3, 2, 2], //R3 Home
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[17.16, 17.16, 6.5, 6.5, 8+4, 0, 0, -10, -10, -5, 2, 2, 1, 5, 1, 3, 2, 2], //R2
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//Column 1
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[17.16, 17.16, 6, 6, 13, 0, 0, -13, 5, 0, 2, 2, 1, 5, 1, 3, 2, 2], //R5 4
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[17.16, 17.16, 6.5, 6.5, 8+3, 0, 0, 5, -3, 0, 2, 2, 1, 5, 1, 3, 2, 2], //R4
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[17.16, 17.16, 6.5, 6.5,7+2.5, 0, 0, -2, -3, 0, 2, 2, 1, 5, 1, 3, 2, 2], //R3 Home
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[17.16, 17.16, 6.5, 6.5, 8+3, 0, 0, -12, -3, 0, 2, 2, 1, 5, 1, 3, 2, 2], //R2
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//Column 2 middle
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[17.16, 17.16, 6, 6, 13, 0, 0, -13, 10, 15, 2, 2, 1, 5, 1, 3, 2, 2], //R5 8
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[17.16, 17.16, 6.5, 6.5, 7.1, 0, 0, 0, 0, 0, 2, 2, 1, 4.85, 1, 3, 2, 2], //R4
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[17.16, 17.16, 6.5, 6.5, 7, 0, 0, -2, 0, 0, 2, 2, 1, 5, 1, 3, 2, 2], //R3 Home
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[17.16, 17.16, 6.5, 6.5, 8, 0, 0, -12, 0, 0, 2, 2, 1, 5, 1, 3, 2, 2], //R2
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//Column 3
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[17.16, 17.16, 6, 6, 11+3, 0, 0, 13, -4, 0, 2, 2, 1, 5, 1, 3, 2, 2], //R5 12
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[17.16, 17.16, 6.5, 6.5, 8+3, 0, 0, 5, -4, 0, 2, 2, 1, 5, 1, 5, 2, 2], //R4
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[17.16, 17.16, 6.5, 6.5, 7+3, 0, 0, -2, -4, 0, 2, 2, 1, 5, 1, 3, 2, 2], //R3 Home
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[17.16, 17.16, 6.5, 6.5, 8+3, 0, 0, -10, -4, 0, 2, 2, 1, 5, 1, 3, 2, 2], //R2
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//Column 4
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[17.16, 17.16, 6, 6,11+5.5, 0, 0, 13, -10, 0, 2, 2, 1, 5, 1, 3, 2, 2], //R5 16
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[17.16, 17.16, 6.5, 6.5,8+5.5, 0, 0, 5, -10, 0, 2, 2, 1, 5, 1, 3, 2, 2], //R4
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[17.16, 17.16, 6.5, 6.5,7+5.5, 0, 0, -5, -10, 0, 2, 2, 1, 5, 1, 3, 2, 2], //R3 Home
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[17.16, 17.16, 6.5, 6.5, 8+4, 0, 0, -12, 5, 0, 2, 2, 1, 5, 1, 3, 2, 2], //R2
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//Column 5
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[17.16, 17.16, 6, 6, 11+4, 0, 0, 13, -6, 0, 2, 2, 1, 5, 1, 3, 2, 2], //R5 20
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[17.16, 17.16, 6.5, 6.5, 8+4, 0, 0, 5, -6, 0, 2, 2, 1, 5, 1, 3, 2, 2], //R4
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[17.16, 17.16, 6.5, 6.5, 7+4, 0, 0, -2, -6, 0, 2, 2, 1, 5, 1, 3, 2, 2], //R3 Home
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[17.16, 17.16, 6.5, 6.5, 8+6, 0, 0, -12, 10, 0, 2, 2, 1, 5, 1, 3, 2, 2], //R2
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];
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function BottomWidth(keyID) = keyParameters[keyID][0]; //
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function BottomLength(keyID) = keyParameters[keyID][1]; //
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function TopWidthDiff(keyID) = keyParameters[keyID][2]; //
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function TopLenDiff(keyID) = keyParameters[keyID][3]; //
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function KeyHeight(keyID) = keyParameters[keyID][4]; //
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function TopWidShift(keyID) = keyParameters[keyID][5];
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function TopLenShift(keyID) = keyParameters[keyID][6];
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function XAngleSkew(keyID) = keyParameters[keyID][7];
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function YAngleSkew(keyID) = keyParameters[keyID][8];
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function ZAngleSkew(keyID) = keyParameters[keyID][9];
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function WidExponent(keyID) = keyParameters[keyID][10];
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function LenExponent(keyID) = keyParameters[keyID][11];
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function CapRound0i(keyID) = keyParameters[keyID][12];
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function CapRound0f(keyID) = keyParameters[keyID][13];
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function CapRound1i(keyID) = keyParameters[keyID][14];
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function CapRound1f(keyID) = keyParameters[keyID][15];
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function ChamExponent(keyID) = keyParameters[keyID][16];
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function StemExponent(keyID) = keyParameters[keyID][17];
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dishParameters = //dishParameter[keyID][ParameterID]
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[
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// EdOf fn LEx WEx DshDep Ch0i, ch1i, Ch0f, Ch1f, DishExp
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//Column 0
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[ 2, .005, 2, 2, 1.5, 6, 4, .001, .001, 2], //R2
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[ 2, .005, 2, 2, 1.5, 6, 4, .001, .001, 2], //R3
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[ 2, .005, 2, 2, 1.5, 6, 4, .001, .001, 2], //R4
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[ 2, .005, 2, 2, 1.5, 6, 4, .001, .001, 2], //R5
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//Column 1
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[ 2, .005, 2, 2, 1.5, 6, 4, .001, .001, 2], //R2
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[ 2, .005, 2, 2, 1.5, 6, 4, .001, .001, 2], //R3
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[ 1, .005, 2, 2, 2, 6, 4, .3, .001, 2], //R4
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[ 2, .005, 2, 2, 1.5, 6, 4, .001, .001, 2], //R5
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//Column 2
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[ 2, .005, 2, 2, 1.5, 6, 4, .001, .001, 2], //R2
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[ 2, .005, 2, 2, 1.7, 4.85, 3, .001, .001, 2], //R3 DSA
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[ 2, .005, 2, 2, 1.5, 6, 4, .001, .001, 2], //R4
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[ 2, .005, 2, 2, 1.5, 6, 4, .001, .001, 2], //R5
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//Column 3
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[ 2, .005, 2, 2, 1.5, 6, 4, .001, .001, 2], //R2
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[ 2, .005, 2, 2, 1.5, 6, 4, .001, .001, 2], //R3
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[ 2, .005, 2, 2, 1.5, 6, 4, .001, .001, 2], //R4
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[ 2, .005, 2, 2, 1.5, 6, 4, .001, .001, 2], //R5
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//Column 4
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[ 2, .005, 2, 2, 1.5, 6, 4, .001, .001, 2], //R2
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[ 2, .005, 2, 2, 1.5, 6, 4, .001, .001, 2], //R3
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[ 2, .005, 2, 2, 1.5, 6, 4, .001, .001, 2], //R4
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[ 2, .005, 2, 2, 1.5, 6, 4, .001, .001, 2], //R5
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//Column 5
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[ 2, .005, 2, 2, 1.5, 6, 4, .001, .001, 2], //R2
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[ 2, .005, 2, 2, 1.5, 6, 4, .001, .001, 2], //R3
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[ 2, .005, 2, 2, 1.5, 6, 4, .001, .001, 2], //R4
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[ 2, .005, 2, 2, 1.5, 6, 4, .001, .001, 2], //R5
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];
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function EdgeOffset(keyID) = dishParameters[keyID][0]; //
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function LenFinal(keyID) = dishParameters[keyID][1]; //
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function LenExpo(keyID) = dishParameters[keyID][2]; //
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function WidExpo(keyID) = dishParameters[keyID][3]; //
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function DishDepth(keyID) = dishParameters[keyID][4]; //
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function DishCham0i(keyID) = dishParameters[keyID][5]; //
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function DishCham1i(keyID) = dishParameters[keyID][6]; //
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function DishCham0f(keyID) = dishParameters[keyID][7]; //
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function DishCham1f(keyID) = dishParameters[keyID][8]; //
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function DishExpo(keyID) = dishParameters[keyID][9];
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//function FrontTrajectory(keyID) =
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// [
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// trajectory(forward = FrontForward1(keyID), pitch = FrontPitch1(keyID)), //more param available: yaw, roll, scale
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// trajectory(forward = FrontForward2(keyID), pitch = FrontPitch2(keyID)) //You can add more traj if you wish
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// ];
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//
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//function BackTrajectory (keyID) =
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// [
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// trajectory(forward = BackForward1(keyID), pitch = BackPitch1(keyID)),
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// trajectory(forward = BackForward2(keyID), pitch = BackPitch2(keyID)),
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// ];
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//------- function defining Dish Shapes
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function ellipse(a, b, d = 0, rot1 = 0, rot2 = 360) = [for (t = [rot1:step:rot2]) [a*cos(t)+a, b*sin(t)*(1+d*cos(t))]]; //Centered at a apex to avoid inverted face
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function DishShape (a,b,c,d) =
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concat(
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// [[c+a,b]],
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ellipse(a, b, d = 0,rot1 = 90, rot2 = 270)
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// [[c+a,-b]]
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);
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function oval_path(theta, phi, a, b, c, deform = 0) = [
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a*cos(theta)*cos(phi), //x
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c*sin(theta)*(1+deform*cos(theta)) , //
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b*sin(phi),
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];
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path_trans2 = [for (t=[0:step:180]) translation(oval_path(t,0,10,15,2,0))*rotation([0,90,0])];
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//--------------Function definng Cap
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function CapTranslation(t, keyID) =
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[
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((1-t)/layers*TopWidShift(keyID)), //X shift
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((1-t)/layers*TopLenShift(keyID)), //Y shift
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(t/layers*KeyHeight(keyID)) //Z shift
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];
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function InnerTranslation(t, keyID) =
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[
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((1-t)/layers*TopWidShift(keyID)), //X shift
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((1-t)/layers*TopLenShift(keyID)), //Y shift
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(t/layers*(KeyHeight(keyID)-topthickness)) //Z shift
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];
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function CapRotation(t, keyID) =
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[
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((1-t)/layers*XAngleSkew(keyID)), //X shift
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((1-t)/layers*YAngleSkew(keyID)), //Y shift
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((1-t)/layers*ZAngleSkew(keyID)) //Z shift
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];
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function CapTransform(t, keyID) =
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[
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pow(t/layers, WidExponent(keyID))*(BottomWidth(keyID) -TopWidthDiff(keyID)) + (1-pow(t/layers, WidExponent(keyID)))*BottomWidth(keyID) ,
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pow(t/layers, LenExponent(keyID))*(BottomLength(keyID)-TopLenDiff(keyID)) + (1-pow(t/layers, LenExponent(keyID)))*BottomLength(keyID)
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];
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function CapRoundness(t, keyID) =
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[
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pow(t/layers, ChamExponent(keyID))*(CapRound0f(keyID)) + (1-pow(t/layers, ChamExponent(keyID)))*CapRound0i(keyID),
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pow(t/layers, ChamExponent(keyID))*(CapRound1f(keyID)) + (1-pow(t/layers, ChamExponent(keyID)))*CapRound1i(keyID)
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];
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function InnerTransform(t, keyID) =
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[
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pow(t/layers, WidExponent(keyID))*(BottomWidth(keyID) -TopLenDiff(keyID)-wallthickness*2) + (1-pow(t/layers, WidExponent(keyID)))*(BottomWidth(keyID) -wallthickness*2),
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pow(t/layers, LenExponent(keyID))*(BottomLength(keyID)-TopLenDiff(keyID)-wallthickness*2) + (1-pow(t/layers, LenExponent(keyID)))*(BottomLength(keyID)-wallthickness*2)
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];
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function StemTranslation(t, keyID) =
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[
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((1-t)/stemLayers*TopWidShift(keyID)), //X shift
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((1-t)/stemLayers*TopLenShift(keyID)), //Y shift
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stemCrossHeight+.1 + (t/stemLayers*(KeyHeight(keyID)- topthickness - stemCrossHeight-.1)) //Z shift
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];
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function StemRotation(t, keyID) =
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[
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((1-t)/stemLayers*XAngleSkew(keyID)), //X shift
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((1-t)/stemLayers*YAngleSkew(keyID)), //Y shift
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((1-t)/stemLayers*ZAngleSkew(keyID)) //Z shift
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];
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function StemTransform(t, keyID) =
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[
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pow(t/stemLayers, StemExponent(keyID))*(BottomWidth(keyID) -TopWidthDiff(keyID)-wallthickness*2) + (1-pow(t/stemLayers, StemExponent(keyID)))*(stemWid - 2*slop),
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pow(t/stemLayers, StemExponent(keyID))*(BottomLength(keyID)-TopLenDiff(keyID)-wallthickness*2) + (1-pow(t/stemLayers, StemExponent(keyID)))*(stemLen - 2*slop)
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];
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function StemRadius(t, keyID) = pow(t/stemLayers,3)*3 + (1-pow(t/stemLayers, 3))*1;
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//----- Distorted Pyramidal Dish
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function DishTranslation(t, keyID) =
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[
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((t)/dishLayers*TopWidShift(keyID)), //X shift
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((t)/dishLayers*TopLenShift(keyID)), //Y shift
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KeyHeight(keyID)-(t)/dishLayers*(DishDepth(keyID)) //Z shift
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];
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function DishRotation(t, keyID) =
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[
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(-XAngleSkew(keyID)), //X shift
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(-YAngleSkew(keyID)), //Y shift
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(-ZAngleSkew(keyID)) //Z shift
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];
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function DishTransform(t, keyID) =
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[
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(1-pow(t/dishLayers, WidExpo(keyID)))*(BottomWidth(keyID) -TopWidthDiff(keyID)+EdgeOffset(keyID)) + (pow(t/dishLayers, WidExpo(keyID)))*(LenFinal(keyID)),
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(1-pow(t/dishLayers, LenExpo(keyID)))*(BottomLength(keyID)-TopLenDiff(keyID)+EdgeOffset(keyID)) + (pow(t/dishLayers, LenExpo(keyID)))*(LenFinal(keyID))
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];
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function DishRoundness(t, keyID) =
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[
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pow(t/dishLayers, DishExpo(keyID))*(DishCham0f(keyID)) + (1-pow(t/dishLayers, DishExpo(keyID)))*DishCham0i(keyID),
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pow(t/dishLayers, DishExpo(keyID))*(DishCham1f(keyID)) + (1-pow(t/dishLayers, DishExpo(keyID)))*DishCham1i(keyID)
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];
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///----- KEY Builder Module
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module keycap(keyID = 0, cutLen = 0, visualizeDish = false, rossSection = false, Dish = true, Stem = false, homeDot = false, Stab = false) {
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// //Set Parameters for dish shape
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// FrontPath = quantize_trajectories(FrontTrajectory(keyID), steps = stepsize, loop=false, start_position= $t*4);
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// BackPath = quantize_trajectories(BackTrajectory(keyID), steps = stepsize, loop=false, start_position= $t*4);
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//
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// //Scaling initial and final dim tranformation by exponents
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// function FrontDishArc(t) = pow((t)/(len(FrontPath)),FrontArcExpo(keyID))*FrontFinArc(keyID) + (1-pow(t/(len(FrontPath)),FrontArcExpo(keyID)))*FrontInitArc(keyID);
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// function BackDishArc(t) = pow((t)/(len(FrontPath)),BackArcExpo(keyID))*BackFinArc(keyID) + (1-pow(t/(len(FrontPath)),BackArcExpo(keyID)))*BackInitArc(keyID);
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//
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// FrontCurve = [ for(i=[0:len(FrontPath)-1]) transform(FrontPath[i], DishShape(DishDepth(keyID), FrontDishArc(i), 1, d = 0)) ];
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// BackCurve = [ for(i=[0:len(BackPath)-1]) transform(BackPath[i], DishShape(DishDepth(keyID), BackDishArc(i), 1, d = 0)) ];
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//builds
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difference(){
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union(){
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difference(){
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skin([for (i=[0:layers-1]) transform(translation(CapTranslation(i, keyID)) * rotation(CapRotation(i, keyID)), elliptical_rectangle(CapTransform(i, keyID), b = CapRoundness(i,keyID),fn=fn))]); //outer shell
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//Cut inner shell
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if(Stem == true){
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translate([0,0,-.001])skin([for (i=[0:layers-1]) transform(translation(InnerTranslation(i, keyID)) * rotation(CapRotation(i, keyID)), elliptical_rectangle(InnerTransform(i, keyID), b = CapRoundness(i,keyID),fn=fn))]);
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}
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}
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if(Stem == true){
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rotate([0,0,stemRot])cherry_stem(KeyHeight(keyID), slop); // generate mx cherry stem, not compatible with box
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if (Stab != 0){
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translate([Stab/2,0,0])rotate([0,0,stemRot])cherry_stem(KeyHeight(keyID), slop);
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translate([-Stab/2,0,0])rotate([0,0,stemRot])cherry_stem(KeyHeight(keyID), slop);
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//TODO add binding support?
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}
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translate([0,0,-.001])skin([for (i=[0:stemLayers-1]) transform(translation(StemTranslation(i,keyID))*rotation(StemRotation(i, keyID)), rounded_rectangle_profile(StemTransform(i, keyID),fn=fn,r=StemRadius(i, keyID)))]); //Transition Support for taller profile
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}
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//cut for fonts and extra pattern for light?
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}
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//Cuts
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//Fonts
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if(Legends == true){
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// #rotate([-XAngleSkew(keyID),YAngleSkew(keyID),ZAngleSkew(keyID)])translate([0,4,KeyHeight(keyID)-2.5])linear_extrude(height = 0.5)text( text = "Why?", font = "Constantia:style=Bold", size = 3, valign = "center", halign = "center" );
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|
// #rotate([-XAngleSkew(keyID),YAngleSkew(keyID),ZAngleSkew(keyID)])translate([0,-3.5,0])linear_extrude(height = 0.5)text( text = "Me", font = "Constantia:style=Bold", size = 3, valign = "center", halign = "center" );
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|
}
|
|
|
|
//Dish Shape
|
|
if(Dish == true){
|
|
if(visualizeDish == false){
|
|
skin([for (i=[0:dishLayers]) transform(translation(DishTranslation(i, keyID)) * rotation(DishRotation(i, keyID)),
|
|
elliptical_rectangle(DishTransform(i, keyID), b = DishRoundness(i,keyID),fn=fn)
|
|
)]);
|
|
} else {
|
|
#skin([for (i=[0:dishLayers]) transform(translation(DishTranslation(i, keyID)) * rotation(DishRotation(i, keyID)),
|
|
elliptical_rectangle(DishTransform(i, keyID), b = DishRoundness(i,keyID),fn=fn)
|
|
)]);
|
|
}
|
|
}
|
|
if(crossSection == true) {
|
|
translate([0,-15,-.1])cube([15,30,15]);
|
|
}
|
|
}
|
|
//Homing dot
|
|
if(homeDot == true)translate([0,0,KeyHeight(keyID)-DishDepth(keyID)-.1])sphere(d = 1);
|
|
}
|
|
|
|
//------------------stems
|
|
$fn = fn;
|
|
|
|
function outer_cherry_stem(slop) = [ stemWid - slop * 2, stemLen - slop * 2];
|
|
function outer_cherry_stabilizer_stem(slop) = [4.85 - slop * 2, 6.05 - slop * 2];
|
|
function outer_box_cherry_stem(slop) = [6 - slop, 6 - slop];
|
|
|
|
// .005 purely for aesthetics, to get rid of that ugly crosshatch
|
|
function cherry_cross(slop, extra_vertical = 0) = [
|
|
// horizontal tine
|
|
[4.03 + slop, 1.15 + slop / 3],
|
|
// vertical tine
|
|
[1.25 + slop / 3, 4.23 + extra_vertical + slop / 3 + .005],
|
|
];
|
|
module inside_cherry_cross(slop) {
|
|
// inside cross
|
|
// translation purely for aesthetic purposes, to get rid of that awful lattice
|
|
translate([0,0,-0.005]) {
|
|
linear_extrude(height = stemCrossHeight) {
|
|
square(cherry_cross(slop, extra_vertical)[0], center=true);
|
|
square(cherry_cross(slop, extra_vertical)[1], center=true);
|
|
}
|
|
}
|
|
|
|
// Guides to assist insertion and mitigate first layer squishing
|
|
{
|
|
for (i = cherry_cross(slop, extra_vertical)) hull() {
|
|
linear_extrude(height = 0.01, center = false) offset(delta = 0.4) square(i, center=true);
|
|
translate([0, 0, 0.5]) linear_extrude(height = 0.01, center = false) square(i, center=true);
|
|
}
|
|
}
|
|
}
|
|
|
|
module cherry_stem(depth, slop) {
|
|
difference(){
|
|
// outside shape
|
|
linear_extrude(height = depth-topthickness/2) {
|
|
offset(r=1){
|
|
square(outer_cherry_stem(slop) - [2,2], center=true);
|
|
}
|
|
}
|
|
inside_cherry_cross(slop);
|
|
}
|
|
}
|
|
|
|
/// ----- helper functions
|
|
function rounded_rectangle_profile(size=[1,1],r=1,fn=32) = [
|
|
for (index = [0:fn-1])
|
|
let(a = index/fn*360)
|
|
r * [cos(a), sin(a)]
|
|
+ sign_x(index, fn) * [size[0]/2-r,0]
|
|
+ sign_y(index, fn) * [0,size[1]/2-r]
|
|
];
|
|
|
|
function elliptical_rectangle(a = [1,1], b =[1,1], fn=32) = [
|
|
for (index = [0:fn-1]) // section right
|
|
let(theta1 = -atan(a[1]/b[1])+ 2*atan(a[1]/b[1])*index/fn)
|
|
[b[1]*cos(theta1), a[1]*sin(theta1)]
|
|
+ [a[0]*cos(atan(b[0]/a[0])), 0]
|
|
- [b[1]*cos(atan(a[1]/b[1])), 0],
|
|
|
|
for(index = [0:fn-1]) // section Top
|
|
let(theta2 = atan(b[0]/a[0]) + (180 -2*atan(b[0]/a[0]))*index/fn)
|
|
[a[0]*cos(theta2), b[0]*sin(theta2)]
|
|
- [0, b[0]*sin(atan(b[0]/a[0]))]
|
|
+ [0, a[1]*sin(atan(a[1]/b[1]))],
|
|
|
|
for(index = [0:fn-1]) // section left
|
|
let(theta3 = -atan(a[1]/b[1])+180+ 2*atan(a[1]/b[1])*index/fn)
|
|
[b[1]*cos(theta3), a[1]*sin(theta3)]
|
|
- [a[0]*cos(atan(b[0]/a[0])), 0]
|
|
+ [b[1]*cos(atan(a[1]/b[1])), 0],
|
|
|
|
for(index = [0:fn-1]) // section Top
|
|
let(theta4 = atan(b[0]/a[0]) + 180 + (180 -2*atan(b[0]/a[0]))*index/fn)
|
|
[a[0]*cos(theta4), b[0]*sin(theta4)]
|
|
+ [0, b[0]*sin(atan(b[0]/a[0]))]
|
|
- [0, a[1]*sin(atan(a[1]/b[1]))]
|
|
]/2;
|
|
|
|
function sign_x(i,n) =
|
|
i < n/4 || i > n-n/4 ? 1 :
|
|
i > n/4 && i < n-n/4 ? -1 :
|
|
0;
|
|
|
|
function sign_y(i,n) =
|
|
i > 0 && i < n/2 ? 1 :
|
|
i > n/2 ? -1 :
|
|
0;
|