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path: root/frontend/2d/_rigidbody/rigidbody_3a.js
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/// <reference path="../../scripts/jquery-3.5.1.min.js"/>
/// <reference path="../../_shared/math/vec2.js" />
/// <reference path="../../_shared/math/mat4.js" />
/// <reference path="../../_shared/2d/shader.js" />
/// <reference path="../../_shared/math/circle.js" />
/// <reference path="../../_shared/2d/program_common.js" />

(function() {
    function main() {
        // Define Constants
        const CIRCLE_RADIUS = 16;
        const GRAVITY = 9.8;
        const COF_OF_RESTITUITION = 0.7;
    
        // Retrieve context
        const lProgramContext = getContext('#rigidbody_3a');
    
        if (lProgramContext.gl === null) {
            console.error('Unable to initialize WebGL. Your browser or machine may not support it.');
            return;
        }
    
        lProgramContext.gl.clearColor(0.0, 0.0, 0.0, 1.0);
        lProgramContext.gl.clear(lProgramContext.gl.COLOR_BUFFER_BIT);
    
        function run() {
            console.log('Running Rigid Body 3a');
            lProgramContext.load().then(function(pProgramInfo) {
                // Circile initialization
                const horizontalCircle = circle(lProgramContext.gl, CIRCLE_RADIUS, 30, [
                        { x: 1, y: 1, z: 0, w: 1 },
                        { x: 1, y: 0, z: 1, w: 1 },
                        { x: 0, y: 1, z: 1, w: 1 },
                        { x: 0, y: 1, z: 0, w: 1 }
                    ], vec2(400, lProgramContext.height / 2.0));
    
                const verticalCircle = circle(lProgramContext.gl, CIRCLE_RADIUS, 30, [
                        { x: 1, y: 0, z: 0, w: 1 },
                        { x: 0, y: 1, z: 0, w: 1 },
                        { x: 0, y: 0, z: 1, w: 1 }
                    ], vec2(lProgramContext.width / 2.0, lProgramContext.height / 2.0 + 100));
    
                horizontalCircle.velocity = vec2(-100, 0);
                verticalCircle.velocity = vec2(0, -100);
    
                lTimeStepScale = $('#time_step_slider').val();
    
                /**
                 * Run the update method of a single circle
                 * 
                 * @param {circle} pCircle 
                 * @param {number} pDeltaTimeSeconds 
                 */
                function updateCircle(pCircle, pDeltaTimeSeconds) {
                    // Same physics updates from part 1
                    applyForce(pCircle, vec2(0, -1.0 * (pCircle.mass * GRAVITY)));
                    const lCurrentAcceleration = scaleVec2(pCircle.force, 1.0 / pCircle.mass);
                    pCircle.prevVelocity = pCircle.velocity;
                    pCircle.velocity = addVec2(pCircle.velocity, scaleVec2(lCurrentAcceleration, pDeltaTimeSeconds));
                    pCircle.prevPos = { ...pCircle.position };
                    pCircle.position = addVec2(pCircle.position, scaleVec2(pCircle.velocity, pDeltaTimeSeconds));
                    pCircle.force = vec2();
    
                    // Same physics updates from part 2
                    const lMomentOfInertia = getCircleMomentOfInertia(pCircle);
                    const lAngularAcceleration = pCircle.torque / lMomentOfInertia;
                    pCircle.rotationVelocity += lAngularAcceleration * pDeltaTimeSeconds;
                    pCircle.rotationRadians += pCircle.rotationVelocity * pDeltaTimeSeconds;
                    pCircle.torque = 0;
    
                    pCircle.model = rotateMatrix2d(translateMatrix(mat4(), pCircle.position.x, pCircle.position.y, 0), pCircle.rotationRadians);
                }
    
                function update(pDeltaTimeSeconds) {
                    pDeltaTimeSeconds = pDeltaTimeSeconds * lTimeStepScale;
                    updateCircle(horizontalCircle, pDeltaTimeSeconds);
                    updateCircle(verticalCircle, pDeltaTimeSeconds);
                    collision(pDeltaTimeSeconds);
                    render();
                }
    
                function collision(pDeltaTimeSeconds) {
                    if (!doCirclesIntersect(horizontalCircle, verticalCircle)) {
                        return false;
                    }

                    // We have an intersection! Let's try and figure out precisely when that happened.
                    let lSubdividedDeltaTime = pDeltaTimeSeconds;
                    let lSubdivideHorizontalBall = undefined,
                        lSubdivideVerticalBall = undefined;

                    do {
                        lSubdivideHorizontalBall = JSON.parse(JSON.stringify(horizontalCircle));
                        lSubdivideHorizontalBall.position = {...horizontalCircle.prevPos};
                        lSubdivideHorizontalBall.velocity = {...horizontalCircle.prevVelocity};

                        lSubdivideVerticalBall = JSON.parse(JSON.stringify(verticalCircle));
                        lSubdivideVerticalBall.position = {...verticalCircle.prevPos};
                        lSubdivideVerticalBall.velocity = {...verticalCircle.prevVelocity};

                        lSubdividedDeltaTime = lSubdividedDeltaTime / 2.0;
                        updateCircle(lSubdivideHorizontalBall, lSubdividedDeltaTime);
                        updateCircle(lSubdivideVerticalBall, lSubdividedDeltaTime);

                        if (lSubdividedDeltaTime === 0) {
                            console.error('This should NOT be happening');
                            break;
                        }
                    } while (doCirclesIntersect(lSubdivideHorizontalBall, lSubdivideVerticalBall))
    
                    const lIntersectionResult = getIntersectionDataForCircles(lSubdivideHorizontalBall, lSubdivideVerticalBall);
    
                    console.log('We have a collision');
                    const lRelativeVelocity = lIntersectionResult.relativeVelocity,
                        lCollisionNormal    = lIntersectionResult.collisionNormal,
                        lFirstPerp          = getPerp2(lIntersectionResult.firstPointOfApplication),
                        lSecondPerp         = getPerp2(lIntersectionResult.secondPointOfApplication);
    
                    const lNumerator = dot2(scaleVec2(lRelativeVelocity, -(1.0 + COF_OF_RESTITUITION)), lCollisionNormal);
                    const lLinearDenomPart = dot2(lCollisionNormal, (scaleVec2(lCollisionNormal, 1 / horizontalCircle.mass + 1 / verticalCircle.mass)));
                    const lRotationalDenomPart = (Math.pow(dot2(lFirstPerp, lCollisionNormal), 2) / getCircleMomentOfInertia(horizontalCircle)) 
                        + (Math.pow(dot2(lSecondPerp, lCollisionNormal), 2) / getCircleMomentOfInertia(verticalCircle))
    
                    const lImpulseMagnitude = lNumerator / (lLinearDenomPart + lRotationalDenomPart);
    
                    horizontalCircle.position = lSubdivideHorizontalBall.position;
                    verticalCircle.position = lSubdivideVerticalBall.position;

                    horizontalCircle.velocity = addVec2(horizontalCircle.velocity, scaleVec2(lCollisionNormal, lImpulseMagnitude / horizontalCircle.mass));
                    verticalCircle.velocity = subVec2(verticalCircle.velocity, scaleVec2(lCollisionNormal, lImpulseMagnitude / verticalCircle.mass));
    
                    horizontalCircle.rotationVelocity = horizontalCircle.rotationVelocity + dot2(lFirstPerp, scaleVec2(lCollisionNormal, lImpulseMagnitude)) / getCircleMomentOfInertia(horizontalCircle);
                    verticalCircle.rotationVelocity = verticalCircle.rotationVelocity - dot2(lSecondPerp, scaleVec2(lCollisionNormal, lImpulseMagnitude)) / getCircleMomentOfInertia(verticalCircle);
    
                    updateCircle(horizontalCircle, pDeltaTimeSeconds - lSubdividedDeltaTime);
                    updateCircle(verticalCircle, pDeltaTimeSeconds - lSubdividedDeltaTime);

                    return true;
                }
    
                function render() {
                    lProgramContext.gl.clearColor(0.0, 0.0, 0.0, 1.0);
                    lProgramContext.gl.clearDepth(1.0);
                    lProgramContext.gl.enable(lProgramContext.gl.DEPTH_TEST);
                    lProgramContext.gl.depthFunc(lProgramContext.gl.LEQUAL);
                    lProgramContext.gl.clear(lProgramContext.gl.COLOR_BUFFER_BIT | lProgramContext.gl.DEPTH_BUFFER_BIT);
                    lProgramContext.gl.useProgram(pProgramInfo.program);
                    lProgramContext.gl.uniformMatrix4fv(pProgramInfo.uniformLocations.projection, false, lProgramContext.perspective);
    
                    renderCircle(lProgramContext.gl, pProgramInfo, horizontalCircle);
                    renderCircle(lProgramContext.gl, pProgramInfo, verticalCircle);
                }
    
                const TORQUE_MULTIPLIER = 100.0; // TODO: This may be unncessary
                function applyForce(pCircle, pForceVector, pPointOfApplication) {
                    if (pPointOfApplication !== undefined) {
                        const lOriginToPointOfApp = subVec2(vec2(), pPointOfApplication),
                            lPerpVec = vec2(-lOriginToPointOfApp.y, lOriginToPointOfApp.x);
        
                            pCircle.torque += TORQUE_MULTIPLIER * dot2(lPerpVec, pForceVector);
                    }
    
                    pCircle.force = addVec2(pCircle.force, pForceVector);
                }
    
                function cleanup() {
                    lProgramContext.gl.deleteBuffer(horizontalCircle.buffer);
                    lProgramContext.gl.deleteBuffer(verticalCircle.buffer);
                    lProgramContext.gl.deleteProgram(pProgramInfo.program);
                    lProgramContext.gl.clearColor(0.0, 0.0, 0.0, 1.0);
                    lProgramContext.gl.clear(lProgramContext.gl.COLOR_BUFFER_BIT);
                }
    
                function reset() {
                    lExitRequestFunc();
                    lProgramContext.reset();
                    $('#time_step_slider').unbind('change');
                }
    
                const lExitRequestFunc = requestUpdateLoop(update, cleanup);
                lProgramContext.stopButton.on('click', reset);
                $('#time_step_slider').on('change', function() { lTimeStepScale = $(this).val(); });
            });
        }
        
        lProgramContext.playButton.on('click', run);
    }
    
    $(document).ready(main);
})()