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Thermotronica / Yes

Dont worry about it
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Tissue mold #2

Closed Thermotronica closed 4 months ago

Thermotronica commented 4 months ago

<!DOCTYPE html>

Pixel Aliasing with Dragging
Thermotronica commented 4 months ago

type Complex = { real: float; imag: float }

let toComplexNumber real imag = { real = real; imag = imag }

let rec recursiveComplexNumber iterations = if iterations = 0 then toComplexNumber 1.0 1.0 else let prev = recursiveComplexNumber (iterations - 1) let r = prev.real + prev.imag let i = prev.real - prev.imag toComplexNumber r i

[] let main argv = let phi = System.Math.PI / 4.0 let iterations = 3

let recursive = recursiveComplexNumber iterations
let e_iphi = toComplexNumber (System.Math.Cos phi) (System.Math.Sin phi)

let result = { real = recursive.real / e_iphi.real; imag = recursive.imag / e_iphi.imag }

printfn "Result: %A" result
printfn "Phase Angle (phi): %f" phi

0 // Exit code
Thermotronica commented 4 months ago

<!DOCTYPE html>

Pixel Aliasing with Dragging

public class ContinuedFractionMatrix { public static void main(String[] args) { // Define the matrix representing the continued fraction [3; 6] int[][] matrix = {{3, 1}, {1, 0}};

    // Calculate the continued fraction
    int[][] result = matrixPower(matrix, 10);

    // Print the result
    System.out.println("Result:");
    printMatrix(result);
}

public static int[][] matrixPower(int[][] matrix, int power) {
    int[][] result = {{1, 0}, {0, 1}}; // Initialize identity matrix

    // Perform matrix multiplication iteratively
    for (int i = 0; i < power; i++) {
        result = matrixMultiply(result, matrix);
    }

    return result;
}

public static int[][] matrixMultiply(int[][] a, int[][] b) {
    int[][] result = new int[2][2];

    // Perform matrix multiplication
    result[0][0] = a[0][0] * b[0][0] + a[0][1] * b[1][0];
    result[0][1] = a[0][0] * b[0][1] + a[0][1] * b[1][1];
    result[1][0] = a[1][0] * b[0][0] + a[1][1] * b[1][0];
    result[1][1] = a[1][0] * b[0][1] + a[1][1] * b[1][1];

    return result;
}

public static void printMatrix(int[][] matrix) {
    for (int i = 0; i < matrix.length; i++) {
        for (int j = 0; j < matrix[i].length; j++) {
            System.out.print(matrix[i][j] + " ");
        }
        System.out.println();
    }
}

}

Thermotronica commented 4 months ago

🧐

import org.apache.commons.math3.complex.Complex;

public class ContinuedFractionMatrix { public static void main(String[] args) { // Define the matrix representing the continued fraction [3; 6] Complex[][] matrix = { {new Complex(3, 0), new Complex(1, 0)}, {new Complex(1, 0), new Complex(0, 0)} };

    // Calculate the 10th power of the matrix
    Complex[][] result = matrixPower(matrix, 10);

    // Print the result
    System.out.println("Result:");
    printMatrix(result);
}

public static Complex[][] matrixPower(Complex[][] matrix, int power) {
    Complex[][] result = {
        {Complex.ONE, Complex.ZERO},
        {Complex.ZERO, Complex.ONE}
    }; // Initialize identity matrix

    // Perform matrix multiplication iteratively
    for (int i = 0; i < power; i++) {
        result = matrixMultiply(result, matrix);
    }

    return result;
}

public static Complex[][] matrixMultiply(Complex[][] a, Complex[][] b) {
    Complex[][] result = new Complex[2][2];
    // Initialize the result matrix with zeroes
    for (int i = 0; i < 2; i++) {
        for (int j = 0; j < 2; j++) {
            result[i][j] = Complex.ZERO;
        }
    }

    // Perform matrix multiplication
    result[0][0] = a[0][0].multiply(b[0][0]).add(a[0][1].multiply(b[1][0]));
    result[0][1] = a[0][0].multiply(b[0][1]).add(a[0][1].multiply(b[1][1]));
    result[1][0] = a[1][0].multiply(b[0][0]).add(a[1][1].multiply(b[1][0]));
    result[1][1] = a[1][0].multiply(b[0][1]).add(a[1][1].multiply(b[1][1]));

    return result;
}

public static void printMatrix(Complex[][] matrix) {
    for (int i = 0; i < matrix.length; i++) {
        for (int j = 0; j < matrix[i].length; j++) {
            System.out.print(matrix[i][j] + " ");
        }
        System.out.println();
    }
}

}

Thermotronica commented 3 months ago

Yes but did you see issue

https://github.com/Thermotronica/Yes/issues/4#issuecomment-2140294145

?https://github.com/Thermotronica/Yes/issues/4#issuecomment-2140294145