Homework

Edmend Zhang2024-07-292024-10-31

Games 101 Homework

Homework 0

#include<cmath>
#include<eigen3/Eigen/Core>
#include<eigen3/Eigen/Dense>
#include<iostream>

#define M_PI 3.14159265358979323846

int main(){

    // Basic Example of cpp
    std::cout << "Example of cpp \n";
    float a = 1.0, b = 2.0;
    std::cout << a << std::endl;
    std::cout << a/b << std::endl;
    std::cout << std::sqrt(b) << std::endl;
    std::cout << std::acos(-1) << std::endl;
    std::cout << std::sin(30.0/180.0*acos(-1)) << std::endl;

    // Example of vector
    std::cout << "Example of vector \n";
    // vector definition
    Eigen::Vector3f v(1.0f,2.0f,3.0f);
    Eigen::Vector3f w(1.0f,0.0f,0.0f);
    // vector output
    std::cout << "Example of output \n";
    std::cout << v << std::endl;
    // vector add
    std::cout << "Example of add \n";
    std::cout << v + w << std::endl;
    // vector scalar multiply
    std::cout << "Example of scalar multiply \n";
    std::cout << v * 3.0f << std::endl;
    std::cout << 2.0f * v << std::endl;

    // Example of matrix
    std::cout << "Example of matrix \n";
    // matrix definition
    Eigen::Matrix3f i,j;
    i << 1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0, 9.0;
    j << 2.0, 3.0, 1.0, 4.0, 6.0, 5.0, 9.0, 7.0, 8.0;
    // matrix output
    std::cout << "Example of output \n";
    std::cout << i << std::endl;
    // matrix add i + j
    Eigen::Matrix3f sum1 = i + j;
    std::cout << "Matrix sum" << std::endl;
    std::cout << sum1 << std::endl;
    std::cout << "Std sum" << std::endl;
    std::cout << i + j << std::endl;
    // matrix scalar multiply i * 2.0
    Eigen::Matrix3f scalar_mult = i * 2.0;
    std::cout << "Matrix i * 2.0:\n" << scalar_mult << std::endl;
    // matrix multiply i * j
    Eigen::Matrix3f matrix_mult = i * j;
    std::cout << "Matrix i * j:\n" << matrix_mult << std::endl;
    // matrix multiply vector i * v
    Eigen::Vector3f matrix_vector_mult = i * v;
    std::cout << "Matrix i * Vector v:\n" << matrix_vector_mult << std::endl;

    // 旋转
    Eigen::Vector3f P(2.0, 1.0, 1.0);
    double theta = M_PI / 4.0;
    Eigen::Matrix3f rotation;
    rotation << cos(theta), -sin(theta), 0,
        sin(theta), cos(theta), 0,
        0, 0, 1;
    Eigen::Matrix3f translation;
    translation << 1, 0, 1,
                0, 1, 2,
                0, 0, 1;

    // 先旋转再平移
    Eigen::Vector3f P_transformed = translation * rotation * P;
    std::cout << P_transformed << std::endl;

    return 0;
}