Skip to content

File Util_CPU.cu

FileList > src > Util_CPU.cu

Go to the source code of this file

  • #include "Util_CPU.h"

Namespaces

Type Name
namespace utils

Public Functions

Type Name
T BarycentricInterpolation (T q1, T x1, T y1, T q2, T x2, T y2, T q3, T x3, T y3, T x, T y)
Barycentric interpolation within a triangle. Barycentric interpolation within a triangle defined by the vertices (x1, y1), (x2, y2), and (x3, y3). The values at the vertices are q1, q2, and q3. The function returns the interpolated value at the point (x, y).
template float BarycentricInterpolation (float q1, float x1, float y1, float q2, float x2, float y2, float q3, float x3, float y3, float x, float y)
template double BarycentricInterpolation (double q1, double x1, double y1, double q2, double x2, double y2, double q3, double x3, double y3, double x, double y)
__host__ __device__ T BilinearInterpolation (T q11, T q12, T q21, T q22, T x1, T x2, T y1, T y2, T x, T y)
Bilinear interpolation within a rectangle. Bilinear interpolation within a rectangle defined by (x1, y1) and (x2, y2). The values at the corners of the rectangle are q11, q12, q21, and q22. The function returns the interpolated value at the point (x, y). __
template __host__ __device__ double BilinearInterpolation< double > (double q11, double q12, double q21, double q22, double x1, double x2, double y1, double y2, double x, double y)
template __host__ __device__ float BilinearInterpolation< float > (float q11, float q12, float q21, float q22, float x1, float x2, float y1, float y2, float x, float y)
__host__ __device__ bool OBBdetect (T Axmin, T Axmax, T Aymin, T Aymax, T Bxmin, T Bxmax, T Bymin, T Bymax)
Overlapping Bounding Box detection. Overlapping Bounding Box detection to determine if two axis-aligned bounding boxes overlap. The function takes the minimum and maximum coordinates of two bounding boxes (A and B). It returns true if the bounding boxes overlap, and false otherwise.
template __host__ __device__ bool OBBdetect (float Axmin, float Axmax, float Aymin, float Aymax, float Bxmin, float Bxmax, float Bymin, float Bymax)
template __host__ __device__ bool OBBdetect (double Axmin, double Axmax, double Aymin, double Aymax, double Bxmin, double Bxmax, double Bymin, double Bymax)
__host__ __device__ T calcres (T dx, int level)
Calculate the grid resolution at a given refinement level. Calculate the grid resolution at a given refinement level. If level is negative, the resolution is coarsened (doubled for each level). If level is positive, the resolution is refined (halved for each level).
__host__ __device__ T calcres (Param XParam, T dx, int level)
Calculate the grid resolution at a given refinement level, considering spherical coordinates. Calculate the grid resolution at a given refinement level, considering spherical coordinates. If level is negative, the resolution is coarsened (doubled for each level). If level is positive, the resolution is refined (halved for each level). If the grid is spherical, the resolution is adjusted by the Earth's radius and converted from degrees to meters.
template __host__ __device__ double calcres< double > (double dx, int level)
template __host__ __device__ double calcres< double > (Param XParam, double dx, int level)
template __host__ __device__ float calcres< float > (float dx, int level)
template __host__ __device__ float calcres< float > (Param XParam, float dx, int level)
int ftoi (T value)
Converts a floating-point number to the nearest integer. Converts a floating-point number to the nearest integer. The function rounds the value to the nearest integer, rounding halfway cases away from zero.
template int ftoi< double > (double value)
template int ftoi< float > (float value)
double interptime (double next, double prev, double timenext, double time)
Linear interpolation between two values.
__host__ __device__ T minmod2 (T theta, T s0, T s1, T s2)
Minmod limiter function for slope limiting in numerical schemes. Minmod limiter function for slope limiting in numerical schemes. The function takes a parameter theta and three slope values (s0, s1, s2). Theta is used to tune the limiting (theta=1 gives minmod, the most dissipative limiter, and theta=2 gives superbee, the least dissipative). The function returns the limited slope value based on the input slopes and theta. Usual value : float theta = 1.3f;.
template __host__ __device__ float minmod2 (float theta, float s0, float s1, float s2)
template __host__ __device__ double minmod2 (double theta, double s0, double s1, double s2)
unsigned int nextPow2 (unsigned int x)
Computes the next power of two greater than or equal to x. Computes the next power of two greater than or equal to x.
__host__ __device__ T signof (T a)
Returns the sign of a number. Returns the sign of a number.
template int signof (int a)
template float signof (float a)
template double signof (double a)

Public Functions Documentation

function BarycentricInterpolation

Barycentric interpolation within a triangle. Barycentric interpolation within a triangle defined by the vertices (x1, y1), (x2, y2), and (x3, y3). The values at the vertices are q1, q2, and q3. The function returns the interpolated value at the point (x, y). 

template<class T>
T BarycentricInterpolation (
    T q1,
    T x1,
    T y1,
    T q2,
    T x2,
    T y2,
    T q3,
    T x3,
    T y3,
    T x,
    T y
)

Parameters:

  • q1 Value at (x1, y1)
  • x1 x-coordinate of the first vertex
  • y1 y-coordinate of the first vertex
  • q2 Value at (x2, y2)
  • x2 x-coordinate of the second vertex
  • y2 y-coordinate of the second vertex
  • q3 Value at (x3, y3)
  • x3 x-coordinate of the third vertex
  • y3 y-coordinate of the third vertex
  • x x-coordinate of the point to interpolate
  • y y-coordinate of the point to interpolate

Returns:

Interpolated value at (x, y)

function BarycentricInterpolation

template float BarycentricInterpolation (
    float q1,
    float x1,
    float y1,
    float q2,
    float x2,
    float y2,
    float q3,
    float x3,
    float y3,
    float x,
    float y
)

function BarycentricInterpolation

template double BarycentricInterpolation (
    double q1,
    double x1,
    double y1,
    double q2,
    double x2,
    double y2,
    double q3,
    double x3,
    double y3,
    double x,
    double y
)

function BilinearInterpolation

Bilinear interpolation within a rectangle. Bilinear interpolation within a rectangle defined by (x1, y1) and (x2, y2). The values at the corners of the rectangle are q11, q12, q21, and q22. The function returns the interpolated value at the point (x, y). __ 

template<class T>
__host__ __device__ T BilinearInterpolation (
    T q11,
    T q12,
    T q21,
    T q22,
    T x1,
    T x2,
    T y1,
    T y2,
    T x,
    T y
)

Parameters:

  • q11 Value at (x1, y1)
  • q12 Value at (x1, y2)
  • q21 Value at (x2, y1)
  • q22 Value at (x2, y2)
  • x1 x-coordinate of the bottom-left corner
  • x2 x-coordinate of the top-right corner
  • y1 y-coordinate of the bottom-left corner
  • y2 y-coordinate of the top-right corner
  • x x-coordinate of the point to interpolate
  • y y-coordinate of the point to interpolate

function BilinearInterpolation< double >

template __host__ __device__ double BilinearInterpolation< double > (
    double q11,
    double q12,
    double q21,
    double q22,
    double x1,
    double x2,
    double y1,
    double y2,
    double x,
    double y
)

function BilinearInterpolation< float >

template __host__ __device__ float BilinearInterpolation< float > (
    float q11,
    float q12,
    float q21,
    float q22,
    float x1,
    float x2,
    float y1,
    float y2,
    float x,
    float y
)

function OBBdetect

Overlapping Bounding Box detection. Overlapping Bounding Box detection to determine if two axis-aligned bounding boxes overlap. The function takes the minimum and maximum coordinates of two bounding boxes (A and B). It returns true if the bounding boxes overlap, and false otherwise. 

template<class T>
__host__ __device__ bool OBBdetect (
    T Axmin,
    T Axmax,
    T Aymin,
    T Aymax,
    T Bxmin,
    T Bxmax,
    T Bymin,
    T Bymax
)

Parameters:

  • Axmin Minimum x-coordinate of bounding box A.
  • Axmax Maximum x-coordinate of bounding box A.
  • Aymin Minimum y-coordinate of bounding box A.
  • Aymax Maximum y-coordinate of bounding box A.
  • Bxmin Minimum x-coordinate of bounding box B.
  • Bxmax Maximum x-coordinate of bounding box B.
  • Bymin Minimum y-coordinate of bounding box B.
  • Bymax Maximum y-coordinate of bounding box B.

Returns:

True if the bounding boxes overlap, false otherwise.

Overlaping Bounding Box to detect which cell river falls into. It is the simplest version of the algorythm where the bounding box are paralle;l to the axis

function OBBdetect

template __host__ __device__ bool OBBdetect (
    float Axmin,
    float Axmax,
    float Aymin,
    float Aymax,
    float Bxmin,
    float Bxmax,
    float Bymin,
    float Bymax
)

function OBBdetect

template __host__ __device__ bool OBBdetect (
    double Axmin,
    double Axmax,
    double Aymin,
    double Aymax,
    double Bxmin,
    double Bxmax,
    double Bymin,
    double Bymax
)

function calcres

Calculate the grid resolution at a given refinement level. Calculate the grid resolution at a given refinement level. If level is negative, the resolution is coarsened (doubled for each level). If level is positive, the resolution is refined (halved for each level). 

template<class T>
__host__ __device__ T calcres (
    T dx,
    int level
)

Parameters:

  • dx The base grid resolution.
  • level The refinement level (negative for coarsening, positive for refining).

Returns:

The calculated grid resolution at the specified level.

function calcres

Calculate the grid resolution at a given refinement level, considering spherical coordinates. Calculate the grid resolution at a given refinement level, considering spherical coordinates. If level is negative, the resolution is coarsened (doubled for each level). If level is positive, the resolution is refined (halved for each level). If the grid is spherical, the resolution is adjusted by the Earth's radius and converted from degrees to meters. 

template<class T>
__host__ __device__ T calcres (
    Param XParam,
    T dx,
    int level
)

Parameters:

  • XParam The parameter object containing grid settings.
  • dx The base grid resolution.
  • level The refinement level (negative for coarsening, positive for refining).

Returns:

The calculated grid resolution at the specified level, adjusted for spherical coordinates if applicable.

function calcres< double >

template __host__ __device__ double calcres< double > (
    double dx,
    int level
)

function calcres< double >

template __host__ __device__ double calcres< double > (
    Param XParam,
    double dx,
    int level
)

function calcres< float >

template __host__ __device__ float calcres< float > (
    float dx,
    int level
)

function calcres< float >

template __host__ __device__ float calcres< float > (
    Param XParam,
    float dx,
    int level
)

function ftoi

Converts a floating-point number to the nearest integer. Converts a floating-point number to the nearest integer. The function rounds the value to the nearest integer, rounding halfway cases away from zero. 

template<class T>
int ftoi (
    T value
)

Parameters:

  • value The floating-point number to convert.

Returns:

The nearest integer.

function ftoi< double >

template int ftoi< double > (
    double value
)

function ftoi< float >

template int ftoi< float > (
    float value
)

function interptime

Linear interpolation between two values. 

double interptime (
    double next,
    double prev,
    double timenext,
    double time
)

function minmod2

Minmod limiter function for slope limiting in numerical schemes. Minmod limiter function for slope limiting in numerical schemes. The function takes a parameter theta and three slope values (s0, s1, s2). Theta is used to tune the limiting (theta=1 gives minmod, the most dissipative limiter, and theta=2 gives superbee, the least dissipative). The function returns the limited slope value based on the input slopes and theta. Usual value : float theta = 1.3f;. 

template<class T>
__host__ __device__ T minmod2 (
    T theta,
    T s0,
    T s1,
    T s2
)

Parameters:

  • theta The tuning parameter for the limiter (between 1 and 2).
  • s0 The slope value at the left cell.
  • s1 The slope value at the center cell.
  • s2 The slope value at the right cell.

Returns:

The limited slope value.

function minmod2

template __host__ __device__ float minmod2 (
    float theta,
    float s0,
    float s1,
    float s2
)

function minmod2

template __host__ __device__ double minmod2 (
    double theta,
    double s0,
    double s1,
    double s2
)

function nextPow2

Computes the next power of two greater than or equal to x. Computes the next power of two greater than or equal to x. 

unsigned int nextPow2 (
    unsigned int x
)

function signof

Returns the sign of a number. Returns the sign of a number. 

template<class T>
__host__ __device__ T signof (
    T a
)

function signof

template int signof (
    int a
)

function signof

template float signof (
    float a
)

function signof

template double signof (
    double a
)

The documentation for this class was generated from the following file src/Util_CPU.cu