libGDX 1.14.2 · com.badlogic.gdx.math.GeometryUtils · APIdia, the JavaDoc alternative

Modifier and Type	Field and Description
private static final Vector2	tmp1
private static final Vector2	tmp2
private static final Vector2	tmp3

Access	Constructor and Description
private	GeometryUtils()

Method Summary

Modifier and Type	Method and Description
public static boolean	barycoordInsideTriangle(Vector2 barycentric) Returns true if the barycentric coordinates are inside the triangle.
public static boolean	colinear(float x1, float y1, float x2, float y2, float x3, float y3)
public static void	ensureCCW(float[] polygon)
public static void	ensureCCW(float[] polygon, int offset, int count)
public static void	ensureClockwise(float[] polygon)
public static void	ensureClockwise(float[] polygon, int offset, int count)
public static Vector2	Returns: interpolatedOut fromBarycoord(Vector2 barycentric, Vector2 a, Vector2 b, Vector2 c, Vector2 interpolatedOut) Returns interpolated values given the barycentric coordinates of a point in a triangle and the values at each vertex.
public static float	Returns: interpolatedOut fromBarycoord(Vector2 barycentric, float a, float b, float c) Returns an interpolated value given the barycentric coordinates of a point in a triangle and the values at each vertex.
public static boolean	isCCW(float[] polygon, int offset, int count)
public static boolean	isClockwise(float[] polygon, int offset, int count)
public static float	Returns: the lowest positive root or Float.Nan lowestPositiveRoot(float the first coefficient of the quadric equation a, float the second coefficient of the quadric equation b, float the third coefficient of the quadric equation c) Returns the lowest positive root of the quadric equation given by a * x * x + b * x + c = 0.
public static float	polygonArea(float[] polygon, int offset, int count) Computes the area for a non-self-intersecting polygon.
public static Vector2	polygonCentroid(float[] polygon, int offset, int count, Vector2 centroid) Returns the centroid for the specified non-self-intersecting polygon.
public static Vector2	quadrilateralCentroid(float x1, float y1, float x2, float y2, float x3, float y3, float x4, float y4, Vector2 centroid)
public static void	reverseVertices(float[] polygon, int offset, int count)
public static Vector2	Returns: barycentricOut toBarycoord(Vector2 p, Vector2 a, Vector2 b, Vector2 c, Vector2 barycentricOut) Computes the barycentric coordinates v,w for the specified point in the triangle.
public static float	triangleArea(float x1, float y1, float x2, float y2, float x3, float y3)
public static Vector2	triangleCentroid(float x1, float y1, float x2, float y2, float x3, float y3, Vector2 centroid)
public static Vector2	triangleCircumcenter(float x1, float y1, float x2, float y2, float x3, float y3, Vector2 circumcenter) Returns the circumcenter of the triangle.
public static float	triangleCircumradius(float x1, float y1, float x2, float y2, float x3, float y3) Returns the circumradius of the triangle.
public static float	triangleQuality(float x1, float y1, float x2, float y2, float x3, float y3) Ratio of circumradius to shortest edge as a measure of triangle quality.

Inherited from java.lang.Object:: clone equals finalize getClass hashCode notify notifyAll toString wait wait wait

tmp1	back to summary
private static final Vector2 tmp1

tmp2	back to summary
private static final Vector2 tmp2

tmp3	back to summary
private static final Vector2 tmp3

GeometryUtils	back to summary
private GeometryUtils()

Method Detail

barycoordInsideTriangle	back to summary
public static boolean barycoordInsideTriangle(Vector2 barycentric) Returns true if the barycentric coordinates are inside the triangle.

colinear	back to summary
public static boolean colinear(float x1, float y1, float x2, float y2, float x3, float y3)

ensureCCW	back to summary
public static void ensureCCW(float[] polygon)

ensureCCW	back to summary
public static void ensureCCW(float[] polygon, int offset, int count)

ensureClockwise	back to summary
public static void ensureClockwise(float[] polygon)

ensureClockwise	back to summary
public static void ensureClockwise(float[] polygon, int offset, int count)

fromBarycoord	back to summary
public static Vector2 fromBarycoord(Vector2 barycentric, Vector2 a, Vector2 b, Vector2 c, Vector2 interpolatedOut) Returns interpolated values given the barycentric coordinates of a point in a triangle and the values at each vertex. Returns:Vector2 interpolatedOut

fromBarycoord

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public static Vector2 fromBarycoord(Vector2 barycentric, Vector2 a, Vector2 b, Vector2 c, Vector2 interpolatedOut)

Returns interpolated values given the barycentric coordinates of a point in a triangle and the values at each vertex.

Returns:Vector2: interpolatedOut

fromBarycoord	back to summary
public static float fromBarycoord(Vector2 barycentric, float a, float b, float c) Returns an interpolated value given the barycentric coordinates of a point in a triangle and the values at each vertex. Returns:float interpolatedOut

fromBarycoord

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public static float fromBarycoord(Vector2 barycentric, float a, float b, float c)

Returns an interpolated value given the barycentric coordinates of a point in a triangle and the values at each vertex.

Returns:float: interpolatedOut

isCCW	back to summary
public static boolean isCCW(float[] polygon, int offset, int count)

isClockwise	back to summary
public static boolean isClockwise(float[] polygon, int offset, int count)

lowestPositiveRoot	back to summary
public static float lowestPositiveRoot(float a, float b, float c) Returns the lowest positive root of the quadric equation given by a * x * x + b * x + c = 0. If no solution is given, Float.NaN is returned. Parameters a:float the first coefficient of the quadric equation b:float the second coefficient of the quadric equation c:float the third coefficient of the quadric equation Returns:float the lowest positive root or Float.Nan

lowestPositiveRoot

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public static float lowestPositiveRoot(float a, float b, float c)

Returns the lowest positive root of the quadric equation given by a * x * x + b * x + c = 0. If no solution is given, Float.NaN is returned.

Parameters

a:float: the first coefficient of the quadric equation
b:float: the second coefficient of the quadric equation
c:float: the third coefficient of the quadric equation

Returns:float

the lowest positive root or Float.Nan

polygonArea	back to summary
public static float polygonArea(float[] polygon, int offset, int count) Computes the area for a non-self-intersecting polygon.

polygonCentroid	back to summary
public static Vector2 polygonCentroid(float[] polygon, int offset, int count, Vector2 centroid) Returns the centroid for the specified non-self-intersecting polygon. The input points must not be colinear.

quadrilateralCentroid	back to summary
public static Vector2 quadrilateralCentroid(float x1, float y1, float x2, float y2, float x3, float y3, float x4, float y4, Vector2 centroid)

reverseVertices	back to summary
public static void reverseVertices(float[] polygon, int offset, int count)

toBarycoord	back to summary
public static Vector2 toBarycoord(Vector2 p, Vector2 a, Vector2 b, Vector2 c, Vector2 barycentricOut) Computes the barycentric coordinates v,w for the specified point in the triangle. The input points must not be colinear. If barycentric.x >= 0 && barycentric.y >= 0 && barycentric.x + barycentric.y <= 1 then the point is inside the triangle. If vertices a,b,c have values aa,bb,cc then to get an interpolated value at point p: GeometryUtils.toBarycoord(p, a, b, c, barycentric); // THEN: float u = 1f - barycentric.x - barycentric.y; float x = u * aa.x + barycentric.x * bb.x + barycentric.y * cc.x; float y = u * aa.y + barycentric.x * bb.y + barycentric.y * cc.y; // OR: GeometryUtils.fromBarycoord(barycentric, aa, bb, cc, out); Returns:Vector2 barycentricOut

toBarycoord

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public static Vector2 toBarycoord(Vector2 p, Vector2 a, Vector2 b, Vector2 c, Vector2 barycentricOut)

Computes the barycentric coordinates v,w for the specified point in the triangle. The input points must not be colinear.

If barycentric.x >= 0 && barycentric.y >= 0 && barycentric.x + barycentric.y <= 1 then the point is inside the triangle.

If vertices a,b,c have values aa,bb,cc then to get an interpolated value at point p:

GeometryUtils.toBarycoord(p, a, b, c, barycentric);
// THEN:
float u = 1f - barycentric.x - barycentric.y;
float x = u * aa.x + barycentric.x * bb.x + barycentric.y * cc.x;
float y = u * aa.y + barycentric.x * bb.y + barycentric.y * cc.y;
// OR:
GeometryUtils.fromBarycoord(barycentric, aa, bb, cc, out);

Returns:Vector2: barycentricOut

triangleArea	back to summary
public static float triangleArea(float x1, float y1, float x2, float y2, float x3, float y3)

triangleCentroid	back to summary
public static Vector2 triangleCentroid(float x1, float y1, float x2, float y2, float x3, float y3, Vector2 centroid)

triangleCircumcenter	back to summary
public static Vector2 triangleCircumcenter(float x1, float y1, float x2, float y2, float x3, float y3, Vector2 circumcenter) Returns the circumcenter of the triangle. The input points must not be colinear.

triangleCircumradius	back to summary
public static float triangleCircumradius(float x1, float y1, float x2, float y2, float x3, float y3) Returns the circumradius of the triangle. The input points must not be colinear.

triangleQuality	back to summary
public static float triangleQuality(float x1, float y1, float x2, float y2, float x3, float y3) Ratio of circumradius to shortest edge as a measure of triangle quality. Gary L. Miller, Dafna Talmor, Shang-Hua Teng, and Noel Walkington. A Delaunay Based Numerical Method for Three Dimensions: Generation, Formulation, and Partition.

triangleQuality

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public static float triangleQuality(float x1, float y1, float x2, float y2, float x3, float y3)

Ratio of circumradius to shortest edge as a measure of triangle quality.

Gary L. Miller, Dafna Talmor, Shang-Hua Teng, and Noel Walkington. A Delaunay Based Numerical Method for Three Dimensions: Generation, Formulation, and Partition.

public final Class GeometryUtils

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