网课:GAMES101-homework pa0

作业１还是挺简单的，把课上一些基本的概念写成代码即可。

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

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;
    std::cout << "test the precision of pi:" << std::acos(-1.0) << 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
    // matrix scalar multiply i * 2.0
    // matrix multiply i * j
    // matrix multiply vector i * v
    // homework pa0
    Eigen::Vector3f p,res;
    p << 2,1,1;
    Eigen::Matrix3f rotation,translation;
    translation << 1,0,1,0,1,2,0,0,1;
    rotation << std::cos(45.0/180.0*acos(-1)),-1*std::sin(45.0/180.0*acos(-1)),0,
                std::sin(45.0/180.0*acos(-1)), std::cos(45.0/180.0*acos(-1)),0,
                0,0,1;
    res = translation*rotation*p;
    std::cout << "this is the res point:" << std::endl;
    std::cout << res << std::endl;

    return 0;
}

结果如下：