codespaces-react/index.html at main · herbie-c/codespaces-react · GitHub

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<!DOCTYPE html>
<html lang="en">
<head>
    <meta charset="UTF-8">
    <meta name="viewport" content="width=device-width, initial-scale=1.0">
    <title>Kwantumpuzzelsimulator</title>
    <style>
        body {
            font-family: Arial, sans-serif;
            margin: 0;
            padding: 20px;
            background-color: #f5f5f5;
        }
        .container {
            max-width: 1200px;
            margin: 0 auto;
            background-color: white;
            padding: 20px;
            border-radius: 8px;
            box-shadow: 0 2px 10px rgba(0,0,0,0.1);
        }
        h1 {
            color: #333;
            text-align: center;
        }
        .description {
            margin-bottom: 20px;
            padding: 10px;
            background-color: #f0f8ff;
            border-radius: 4px;
        }
    </style>
    <!-- Load p5.js from CDN -->
    <script src="https://cdnjs.cloudflare.com/ajax/libs/p5.js/1.7.0/p5.min.js"></script>
</head>
<body>
    <div class="container">
        <h1>Kwantumpuzzelsimulator</h1>
        <div class="description">
            <p>Deze simulator demonstreert een 2x2-kwantumschuifpuzzel met zowel klassieke als kwantumoperaties.</p>
            <p>Gebruik de knoppen om de kwantumtoestand van de puzzel te manipuleren.</p>
        </div>
        <!-- The canvas will be created by p5.js inside this div -->
        <div id="canvas-container"></div>
    </div>

    <script>
        // Quantum Rubik's Cube Simulator in p5.js
        // Based on the original Python implementation

        let currentState;
        let represType = 'prob'; // 'prob' or 'math'

        // Vector representations
        const v0repr = "\n🟩🟩\n🟦🟦";
        const v1repr = "\n🟦🟦\n🟩🟩";
        const v2repr = "\n🟦🟩\n🟦🟩";
        const v3repr = "\n🟩🟦\n🟩🟦";
        const v4repr = "\n🟦🟩\n🟩🟦";
        const v5repr = "\n🟩🟦\n🟦🟩";

        // Complex number operations
        class Complex {
          constructor(real, imag = 0) {
            this.real = real;
            this.imag = imag;
          }

          static multiply(a, b) {
            return new Complex(
              a.real * b.real - a.imag * b.imag,
              a.real * b.imag + a.imag * b.real
            );
          }

          static add(a, b) {
            return new Complex(
              a.real + b.real,
              a.imag + b.imag
            );
          }

          multiply(scalar) {
            if (scalar instanceof Complex) {
              return Complex.multiply(this, scalar);
            } else {
              return new Complex(this.real * scalar, this.imag * scalar);
            }
          }

          toString() {
            if (Math.abs(this.imag) < 1e-10) {
              return this.real.toFixed(4).replace(/\.?0+$/, '');
            } else if (Math.abs(this.real) < 1e-10) {
              return this.imag.toFixed(4).replace(/\.?0+$/, '') + 'i';
            } else {
              const sign = this.imag >= 0 ? '+' : '';
              return this.real.toFixed(4).replace(/\.?0+$/, '') + sign + this.imag.toFixed(4).replace(/\.?0+$/, '') + 'i';
            }
          }

          abs() {
            return Math.sqrt(this.real * this.real + this.imag * this.imag);
          }
        }

        // Define the i constant
        const I = new Complex(0, 1);

        // Vector class for quantum states
        class Vector {
          constructor(represent, coeff = new Complex(1), otherVecToSum = null) {
            if (otherVecToSum === null) {
              this._repres = [represent];
              this._coefficients = [coeff];
            } else {
              if (otherVecToSum.getRepr().includes(represent)) {
                const indx = otherVecToSum.getRepr().indexOf(represent);
                this._repres = [...otherVecToSum.getRepr()];
                this._coefficients = [...otherVecToSum.getCoeff()];
                this._coefficients[indx] = Complex.add(this._coefficients[indx], coeff);
              } else {
                this._repres = [...otherVecToSum.getRepr()];
                this._coefficients = [...otherVecToSum.getCoeff()];
                this._repres.push(represent);
                this._coefficients.push(coeff);
              }
            }

            // Remove all zero coefficients
            for (let i = this._coefficients.length - 1; i >= 0; i--) {
              if (Math.abs(this._coefficients[i].real) < 1e-10 && Math.abs(this._coefficients[i].imag) < 1e-10) {
                this._coefficients.splice(i, 1);
                this._repres.splice(i, 1);
              }
            }
          }

          multiply(constant) {
            if (this._repres.length === 0) return new Vector(v0repr, new Complex(0));

            let newVec = new Vector(
              this._repres[0],
              this._coefficients[0] instanceof Complex
                ? this._coefficients[0].multiply(constant)
                : new Complex(this._coefficients[0] * constant)
            );

            for (let i = 1; i < this._repres.length; i++) {
              const newCoeff = this._coefficients[i] instanceof Complex
                ? this._coefficients[i].multiply(constant)
                : new Complex(this._coefficients[i] * constant);

              newVec = new Vector(this._repres[i], newCoeff, newVec);
            }

            return newVec;
          }

          toString() {
            if (this._repres.length === 0) return "0";

            if (represType === 'math') {
              let result = "";
              for (let i = 0; i < this._repres.length; i++) {
                result += this._coefficients[i].toString() + " " + this._repres[i];
                if (i < this._repres.length - 1) {
                  result += "\n+\n";
                }
              }
              return result;
            } else {
              // Probability representation
              const probabilities = this.getProbs();
              let result = "";
              for (let i = 0; i < this._repres.length; i++) {
                result += (probabilities[i] * 100).toFixed(1) + "% " + this._repres[i];
                if (i < this._repres.length - 1) {
                  result += "\n+\n";
                }
              }
              return result;
            }
          }

          copy() {
            const representants = this.getRepr();
            const coefficients = this.getCoeff();
            if (representants.length === 0) return new Vector(v0repr, new Complex(0));

            let copy = new Vector(representants[0], coefficients[0]);
            for (let i = 1; i < representants.length; i++) {
              copy = new Vector(representants[i], coefficients[i], copy);
            }
            return copy;
          }

          add(other) {
            const otherRepr = other.getRepr();
            const otherCoeff = other.getCoeff();

            // Handle edge cases
            if (otherRepr.length === 0) return this.copy();
            if (this._repres.length === 0) return other.copy();

            let newVec = this.copy();
            for (let i = 0; i < otherRepr.length; i++) {
              newVec = new Vector(otherRepr[i], otherCoeff[i], newVec);
            }
            return newVec;
          }

          getProbs() {
            const probabilities = [];
            for (const coef of this._coefficients) {
              probabilities.push(coef.abs() * coef.abs());
            }
            return probabilities;
          }

          getRepr() {
            return this._repres;
          }

          getCoeff() {
            return this._coefficients;
          }

          equals(other) {
            const diff = this.add(other.multiply(new Complex(-1)));
            return diff.getCoeff().length === 0 || diff.getCoeff().every(c => Math.abs(c.real) < 1e-10 && Math.abs(c.imag) < 1e-10);
          }
        }

        // Operator class for quantum operations
        class Operator {
          constructor(operations) {
            this._berekening = {};
            for (const operation of operations) {
              this._berekening[operation[0].getRepr()[0]] = operation[1];
            }
          }

          apply(vect) {
            const vectRepr = vect.getRepr();
            const vectCoeff = vect.getCoeff();

            if (vectRepr.length === 0) return new Vector(v0repr, new Complex(0));

            // Apply the operator to the first term
            let newVect = this._berekening[vectRepr[0]].multiply(vectCoeff[0]);

            // Apply to the remaining terms and sum
            for (let i = 1; i < vectRepr.length; i++) {
              newVect = newVect.add(this._berekening[vectRepr[i]].multiply(vectCoeff[i]));
            }

            return newVect;
          }

          multiply(constant) {
            const newOperations = [];
            for (const key in this._berekening) {
              newOperations.push([new Vector(key), this._berekening[key].multiply(constant)]);
            }
            return new Operator(newOperations);
          }

          add(other) {
            const newOperations = [];
            for (const key in this._berekening) {
              const sum = this._berekening[key].add(other.apply(new Vector(key)));
              newOperations.push([new Vector(key), sum]);
            }
            return new Operator(newOperations);
          }
        }

        // Define basic vectors
        const v0 = new Vector(v0repr);
        const v1 = new Vector(v1repr);
        const v2 = new Vector(v2repr);
        const v3 = new Vector(v3repr);
        const v4 = new Vector(v4repr);
        const v5 = new Vector(v5repr);

        // Define classical operators
        const Id = new Operator([
          [v0, v0], [v1, v1], [v2, v2], [v3, v3], [v4, v4], [v5, v5]
        ]);

        const SU = new Operator([
          [v0, v0.multiply(new Complex(-1))],
          [v1, v1.multiply(new Complex(-1))],
          [v2, v5],
          [v3, v4],
          [v4, v3],
          [v5, v2]
        ]);

        const SD = new Operator([
          [v0, v0.multiply(new Complex(-1))],
          [v1, v1.multiply(new Complex(-1))],
          [v2, v4],
          [v3, v5],
          [v4, v2],
          [v5, v3]
        ]);

        const SL = new Operator([
          [v0, v4],
          [v1, v5],
          [v2, v2.multiply(new Complex(-1))],
          [v3, v3.multiply(new Complex(-1))],
          [v4, v0],
          [v5, v1]
        ]);

        const SR = new Operator([
          [v0, v5],
          [v1, v4],
          [v2, v2.multiply(new Complex(-1))],
          [v3, v3.multiply(new Complex(-1))],
          [v4, v1],
          [v5, v0]
        ]);

        // Quantum operators
        const sqrtSU = Id.add(SU.multiply(I)).multiply(1/Math.sqrt(2));
        const sqrtSD = Id.add(SD.multiply(I)).multiply(1/Math.sqrt(2));
        const sqrtSL = Id.add(SL.multiply(I)).multiply(1/Math.sqrt(2));
        const sqrtSR = Id.add(SR.multiply(I)).multiply(1/Math.sqrt(2));

        // Custom button creation function
        function createCustomButton(label, x, y, callback) {
            const button = document.createElement('button');
            button.innerText = label;
            button.style.position = 'absolute';
            button.style.left = x + 'px';
            button.style.top = y + 'px';
            button.style.padding = '8px 12px';
            button.style.margin = '5px';
            button.style.backgroundColor = '#4CAF50';
            button.style.color = 'white';
            button.style.border = 'none';
            button.style.borderRadius = '4px';
            button.style.cursor = 'pointer';
            button.addEventListener('mouseenter', () => {
                button.style.backgroundColor = '#45a049';
            });
            button.addEventListener('mouseleave', () => {
                button.style.backgroundColor = '#4CAF50';
            });
            button.addEventListener('click', callback);
            document.body.appendChild(button);
            return button;
        }

        // p5.js setup and draw functions
        function setup() {
            const canvas = createCanvas(800, 600);
            canvas.parent('canvas-container');
            textFont('monospace');
            textSize(16);

            // Initialize the current state
            currentState = v0;

            // Create buttons
            createCustomButton('SU', 1000, 500, () => {
                currentState = SU.apply(currentState);
            });

            createCustomButton('SD', 1060, 500, () => {
                currentState = SD.apply(currentState);
            });

            createCustomButton('SL', 1000, 550, () => {
                currentState = SL.apply(currentState);
            });

            createCustomButton('SR', 1060, 550, () => {
                currentState = SR.apply(currentState);
            });

            createCustomButton('sqrtSU', 1120, 500, () => {
                currentState = sqrtSU.apply(currentState);
            });

            createCustomButton('sqrtSD', 1190, 500, () => {
                currentState = sqrtSD.apply(currentState);
            });

            createCustomButton('sqrtSL', 1120, 550, () => {
                currentState = sqrtSL.apply(currentState);
            });

            createCustomButton('sqrtSR', 1190, 550, () => {
                currentState = sqrtSR.apply(currentState);
            });

            createCustomButton('Reset Puzzle', 1190, 600, () => {
                currentState = v0;
            });

            createCustomButton('Switch Representation', 1000, 600, () => {
                represType = represType === 'math' ? 'prob' : 'math';
            });
        }

        function draw() {
            background(240);

            // Display current state
            fill(0);
            text("Current State:", 50, 50);

            // Format state for display
            const stateLines = currentState.toString().split('\n');
            for (let i = 0; i < stateLines.length; i++) {
                text(stateLines[i], 50, 80 + i * 20);
            }

            // Display current representation type
            text("Huidige representatie: " + represType, 425, 425);

            // Display explanation
            let explanation = "Dit is een simulator voor de 2x2-kwantumschuifpuzzel. De knoppen SU, SD, SL, SR zijn respectievelijk een gewone wissel (Swap) ";
            explanation += " van de bovenste (Upper), onderste (Down), linkse (Left) en rechtse (Right) tegels.\n\nDe knoppen sqrtSU, etc. zijn de kwantumwissels.";
            explanation += " Hierbij is er 50% kans dat de wissel doorgevoerd wordt en 50% kans dat dit niet gebeurt.\n\nDe knop 'Switch representatie' wisselt";
            explanation += " de weergave tussen de kans dat de puzzel zich in deze staat bevindt (prob) en de wiskundige weergave (math) van de puzzel.";

            text(explanation, 400, 50, 350, 400);
        }

        // Manually initialize p5.js
        new p5();
    </script>
</body>
</html>