VTKMath 常用接口整理

2023-10-13 11:44:34

VTKMath 常用接口整理

定义常量π

static constexpr double [Pi]()() { return 3.141592653589793; }

浮点型四舍五入为整形

static int Round(float f) { return static_cast<int>(f + (f >= 0.0 ? 0.5 : -0.5)); }
static int Round(double f) { return static_cast<int>(f + (f >= 0.0 ? 0.5 : -0.5)); }

double转为其他类型，且保证转换后的值在类型允许数值范围内
```
static void RoundDoubleToIntegralIfNecessary(double val, OutT* ret)
```

判断两个数之中最大值/最小值

static T Min(const T& a, const T& b);
static T Max(const T& a, const T& b);

阶乘
```
static vtkTypeInt64 Factorial(int N);
```

T1 赋值 T2

static void Assign(const VectorT1& a, VectorT2&& b)
static void Assign(const double a[3], double b[3]) { vtkMath::Assign<>(a, b); }

float与double数组的加减乘

static void Add(const float a[3], const float b[3], float c[3]);
static void Add(const double a[3], const double b[3], double c[3]);
static void Subtract(const float a[3], const float b[3], float c[3]);
static void Subtract(const double a[3], const double b[3], double c[3])
static void MultiplyScalar(float a[3], float s);
static void MultiplyScalar2D(float a[2], float s);
static void MultiplyScalar(double a[3], double s);
static void MultiplyScalar2D(double a[2], double s);

点积、叉积与外积

static float Dot(const float a[3], const float b[3]);
static double Dot(const double a[3], const double b[3]);
static float Dot2D(const float x[2], const float y[2]); 
static double Dot2D(const double x[2], const double y[2]); 
static void Cross(const float a[3], const float b[3], float c[3]);
static void Cross(const double a[3], const double b[3], double c[3]);
static void Outer(const float a[3], const float b[3], float c[3] [3]);
static void Outer(const double a[3], const double b[3], double c[3][3]);
static void Outer2D(const float x[2], const float y[2], float A[2] [2])
static void Outer2D(const double x[2], const double y[2], double A[2][2])

计算向量模

static float Norm(const float* x, int n);
static double Norm(const double* x, int n);
static float Norm(const float v[3]);
static double Norm(const double v[3]);
static float Norm2D(const float x[2]);
static double Norm2D(const double x[2]);

给定一个向量v1，找出两个向量v2和v3，使向量相互垂直

static void Perpendiculars(const double v1[3], double v2[3], double v3[3], double theta);
static void Perpendiculars(const float v1[3], float v2[3], float v3[3], double theta);

计算三维/二维向量A在向量B上的投影

static bool ProjectVector(const float a[3], const float b[3], float projection[3]);
static bool ProjectVector(const double a[3], const double b[3], double projection[3]);
static bool ProjectVector2D(const float a[2], const float b[2], float projection[2]);
static bool ProjectVector2D(const double a[2], const double b[2], double projection[2]);

计算两点间距离

static float Distance2BetweenPoints(const float p1[3], const float p2[3]);
static double Distance2BetweenPoints(const double p1[3], const double p2[3]);

计算两个向量间的弧度角

static double AngleBetweenVectors(const double v1[3], const double v2[3]);

计算2x2矩阵

static float Determinant2x2(const float c1[2], const float c2[2]);
static double Determinant2x2(double a, double b, double c, double d);
static double Determinant2x2(const double c1[2], const double c2[2]);

3x3矩阵转为四元数

static void QuaternionToMatrix3x3(const float quat[4], float A[3][3]);
static void QuaternionToMatrix3x3(const double quat[4], double A[3][3]);

用WXYZ旋转一个向量

static void RotateVectorByWXYZ(const float v[3], const float q[4], float r[3]);
static void RotateVectorByWXYZ(const double v[3], const double q[4], double r[3]);

RGB（红、绿、蓝）、HSV（色调、饱和度、明度）互相转换

static void RGBToHSV(const float rgb[3], float hsv[3])
static void RGBToHSV(float r, float g, float b, float* h, float* s, float* v);
static void RGBToHSV(const double rgb[3], double hsv[3])
static void RGBToHSV(double r, double g, double b, double* h, double* s, double* v);
static void HSVToRGB(const float hsv[3], float rgb[3])
static void HSVToRGB(float h, float s, float v, float* r, float* g, float* b);
static void HSVToRGB(const double hsv[3], double rgb[3])
static void HSVToRGB(double h, double s, double v, double* r, double* g, double* b);

边界初始化

static void UninitializeBounds(double bounds[6])
{
	bounds[0] = 1.0;
	bounds[1] = -1.0;
	bounds[2] = 1.0;
	bounds[3] = -1.0;
	bounds[4] = 1.0;
	bounds[5] = -1.0;
}

判断边界是否初始化

static vtkTypeBool AreBoundsInitialized(const double bounds[6])
{
    if (bounds[1] - bounds[0] < 0.0)
    {	
        return 0;
    }
    return 1;
}

若 v 小于 min ，则返回 min ；若 v 大于 max ，则返回 max ；否则返回 v

static T ClampValue(const T& value, const T& min, const T& max);
static void ClampValue(double* value, const double range[2]);
static void ClampValue(double value, const double range[2], double* clamped_value);
static void ClampValues(double* values, int nb_values, const double range[2]);
static void ClampValues(const double* values, int nb_values, const double range[2], double* clamped_values);

判断范围在范围内，边界在边界内，点在边界内

static vtkTypeBool ExtentIsWithinOtherExtent(const int extent1[6], const int extent2[6]);
static vtkTypeBool BoundsIsWithinOtherBounds(
const double bounds1[6], const double bounds2[6], const double delta[3]);
static vtkTypeBool PointIsWithinBounds(const double point[3], const double bounds[6], const double delta[3]);

三点计算圆心

static double Solve3PointCircle(const double p1[3], const double p2[3], const double p3[3], double center[3]);

码农公寓

VTKMath 常用接口整理

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