DirectX向量与矩阵

配置vs2013项目属性的VC++目录：

比如DirectX SDK安装目录是D:Program Files (x86)Microsoft DirectX SDK (June 2010)

则包含目录和库目录配置如下：

/* Include */
$(VC_IncludePath);$(WindowsSDK_IncludePath);D:Program Files %28x86%29Microsoft DirectX SDK %28June 2010%29Include
/* Lib */
$(VC_LibraryPath_x86);$(WindowsSDK_LibraryPath_x86);D:Program Files %28x86%29Microsoft DirectX SDK %28June 2010%29Libx86;$(LibraryPath)

使用Lib可以在 项目属性-链接器-输入-附加依赖项 中添加或者在程序中使用预处理指令#pragma comment( comment-type ,["commentstring"] )。

#include <d3dx10.h>
#include <iostream>
using namespace std;

#pragma comment(lib, "d3dx10.lib")

ostream& operator<<(ostream& os, D3DXVECTOR4& v)
{
    os << "(" << v.x << ", " << v.y << ", " << v.z << ", " << v.w << ")";
    return os;
}
ostream& operator<<(ostream& os, D3DXMATRIX& m)
{
    for (int i = 0; i < 4; ++i)
    {
        for (int j = 0; j < 4; ++j)
            os << m(i, j) << "  ";
        os << endl;
    }
    return os;
}
ostream& operator<<(ostream& os, D3DXVECTOR3& v)
{
    os << "(" << v.x << ", " << v.y << ", " << v.z << ")";
    return os;
}

int main()
{
    // Using constructor, D3DXVECTOR3(FLOAT x, FLOAT y, FLOAT z);
    D3DXVECTOR3 u(1.0f, 2.0f, 3.0f);

    // Using constructor, D3DXVECTOR3(CONST FLOAT *);
    float x[3] = { -2.0f, 1.0f, -3.0f };
    D3DXVECTOR3 v(x);

    // Using constructor, D3DXVECTOR3() {};
    D3DXVECTOR3 a, b, c, d, e;

    // Vector addition: D3DXVECTOR3 operator + 
    a = u + v;

    // Vector subtraction: D3DXVECTOR3 operator - 
    b = u - v;

    // Scalar multiplication: D3DXVECTOR3 operator * 
    c = u * 10;

    // ||u||
    float L = D3DXVec3Length(&u);

    // d = u / ||u||
    D3DXVec3Normalize(&d, &u);

    // s = u dot v
    float s = D3DXVec3Dot(&u, &v);

    // e = u x v
    D3DXVec3Cross(&e, &u, &v);

    cout << "u             = " << u << endl;
    cout << "v             = " << v << endl;
    cout << "a = u + v     = " << a << endl;
    cout << "b = u - v     = " << b << endl;
    cout << "c = u * 10    = " << c << endl;
    cout << "d = u / ||u|| = " << d << endl;
    cout << "e = u x v     = " << e << endl;
    cout << "L = ||u||     = " << L << endl;
    cout << "s = u.v       = " << s << endl;
    cout << endl;



    D3DXMATRIX A(1.0f, 0.0f, 0.0f, 0.0f,
                0.0f, 2.0f, 0.0f, 0.0f,
                0.0f, 0.0f, 4.0f, 0.0f,
                1.0f, 2.0f, 3.0f, 1.0f);

    D3DXMATRIX B;
    D3DXMatrixIdentity(&B);

    // matrix-matrix multiplication
    D3DXMATRIX C = A*B;

    D3DXMATRIX D, E, F;

    D3DXMatrixTranspose(&D, &A);

    D3DXMatrixInverse(&E, 0, &A);

    F = A * E;

    D3DXVECTOR4 P(2.0f, 2.0f, 2.0f, 1.0f);
    D3DXVECTOR4 Q(2.0f, 2.0f, 2.0f, 0.0f);
    D3DXVECTOR4 R, S;

    D3DXVec4Transform(&R, &P, &A);

    D3DXVec4Transform(&S, &Q, &A);

    cout << "A = " << endl << A << endl;
    cout << "B = " << endl << B << endl;
    cout << "C = A*B = " << endl << C << endl;
    cout << "D = transpose(A)= " << endl << D << endl;
    cout << "E = inverse(A) = " << endl << E << endl;
    cout << "F = A*E = " << endl << F << endl;
    cout << "P = " << P << endl;
    cout << "Q = " << Q << endl;
    cout << "R = P*A = " << R << endl;
    cout << "S = Q*A = " << S << endl;

    return 0;
}