org.joml.Vector3dc Maven / Gradle / Ivy
/*
* The MIT License
*
* Copyright (c) 2016-2020 JOML
*
* Permission is hereby granted, free of charge, to any person obtaining a copy
* of this software and associated documentation files (the "Software"), to deal
* in the Software without restriction, including without limitation the rights
* to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
* copies of the Software, and to permit persons to whom the Software is
* furnished to do so, subject to the following conditions:
*
* The above copyright notice and this permission notice shall be included in
* all copies or substantial portions of the Software.
*
* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
* AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
* OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
* THE SOFTWARE.
*/
package org.joml;
import java.nio.*;
import java.util.*;
/**
* Interface to a read-only view of a 3-dimensional vector of double-precision floats.
*
* @author Kai Burjack
*/
public interface Vector3dc {
/**
* @return the value of the x component
*/
double x();
/**
* @return the value of the y component
*/
double y();
/**
* @return the value of the z component
*/
double z();
/**
* Store this vector into the supplied {@link ByteBuffer} at the current
* buffer {@link ByteBuffer#position() position}.
*
* This method will not increment the position of the given ByteBuffer.
*
* In order to specify the offset into the ByteBuffer at which
* the vector is stored, use {@link #get(int, ByteBuffer)}, taking
* the absolute position as parameter.
*
* @param buffer
* will receive the values of this vector in x, y, z order
* @return the passed in buffer
* @see #get(int, ByteBuffer)
*/
ByteBuffer get(ByteBuffer buffer);
/**
* Store this vector into the supplied {@link ByteBuffer} starting at the specified
* absolute buffer position/index.
*
* This method will not increment the position of the given ByteBuffer.
*
* @param index
* the absolute position into the ByteBuffer
* @param buffer
* will receive the values of this vector in x, y, z order
* @return the passed in buffer
*/
ByteBuffer get(int index, ByteBuffer buffer);
/**
* Store this vector into the supplied {@link DoubleBuffer} at the current
* buffer {@link DoubleBuffer#position() position}.
*
* This method will not increment the position of the given DoubleBuffer.
*
* In order to specify the offset into the DoubleBuffer at which
* the vector is stored, use {@link #get(int, DoubleBuffer)}, taking
* the absolute position as parameter.
*
* @param buffer
* will receive the values of this vector in x, y, z order
* @return the passed in buffer
* @see #get(int, DoubleBuffer)
*/
DoubleBuffer get(DoubleBuffer buffer);
/**
* Store this vector into the supplied {@link DoubleBuffer} starting at the specified
* absolute buffer position/index.
*
* This method will not increment the position of the given DoubleBuffer.
*
* @param index
* the absolute position into the DoubleBuffer
* @param buffer
* will receive the values of this vector in x, y, z order
* @return the passed in buffer
*/
DoubleBuffer get(int index, DoubleBuffer buffer);
/**
* Store this vector into the supplied {@link FloatBuffer} at the current
* buffer {@link FloatBuffer#position() position}.
*
* This method will not increment the position of the given FloatBuffer.
*
* In order to specify the offset into the FloatBuffer at which
* the vector is stored, use {@link #get(int, FloatBuffer)}, taking
* the absolute position as parameter.
*
* Please note that due to this vector storing double values those values will potentially
* lose precision when they are converted to float values before being put into the given FloatBuffer.
*
* @param buffer
* will receive the values of this vector in x, y, z order
* @return the passed in buffer
* @see #get(int, DoubleBuffer)
*/
FloatBuffer get(FloatBuffer buffer);
/**
* Store this vector into the supplied {@link FloatBuffer} starting at the specified
* absolute buffer position/index.
*
* This method will not increment the position of the given FloatBuffer.
*
* Please note that due to this vector storing double values those values will potentially
* lose precision when they are converted to float values before being put into the given FloatBuffer.
*
* @param index
* the absolute position into the FloatBuffer
* @param buffer
* will receive the values of this vector in x, y, z order
* @return the passed in buffer
*/
FloatBuffer get(int index, FloatBuffer buffer);
/**
* Store this vector into the supplied {@link ByteBuffer} at the current
* buffer {@link ByteBuffer#position() position}.
*
* This method will not increment the position of the given ByteBuffer.
*
* In order to specify the offset into the ByteBuffer at which
* the vector is stored, use {@link #get(int, ByteBuffer)}, taking
* the absolute position as parameter.
*
* Please note that due to this vector storing double values those values will potentially
* lose precision when they are converted to float values before being put into the given ByteBuffer.
*
* @param buffer
* will receive the values of this vector in x, y, z order
* @return the passed in buffer
* @see #get(int, ByteBuffer)
*/
ByteBuffer getf(ByteBuffer buffer);
/**
* Store this vector into the supplied {@link ByteBuffer} starting at the specified
* absolute buffer position/index.
*
* This method will not increment the position of the given ByteBuffer.
*
* Please note that due to this vector storing double values those values will potentially
* lose precision when they are converted to float values before being put into the given ByteBuffer.
*
* @param index
* the absolute position into the ByteBuffer
* @param buffer
* will receive the values of this vector in x, y, z order
* @return the passed in buffer
*/
ByteBuffer getf(int index, ByteBuffer buffer);
/**
* Store this vector at the given off-heap memory address.
*
* This method will throw an {@link UnsupportedOperationException} when JOML is used with `-Djoml.nounsafe`.
*
* This method is unsafe as it can result in a crash of the JVM process when the specified address range does not belong to this process.
*
* @param address
* the off-heap address where to store this vector
* @return this
*/
Vector3dc getToAddress(long address);
/**
* Subtract the supplied vector from this one and store the result in dest.
*
* @param v
* the vector to subtract from this
* @param dest
* will hold the result
* @return dest
*/
Vector3d sub(Vector3dc v, Vector3d dest);
/**
* Subtract the supplied vector from this one and store the result in dest.
*
* @param v
* the vector to subtract from this
* @param dest
* will hold the result
* @return dest
*/
Vector3d sub(Vector3fc v, Vector3d dest);
/**
* Subtract (x, y, z) from this vector and store the result in dest.
*
* @param x
* the x component to subtract
* @param y
* the y component to subtract
* @param z
* the z component to subtract
* @param dest
* will hold the result
* @return dest
*/
Vector3d sub(double x, double y, double z, Vector3d dest);
/**
* Add the supplied vector to this one and store the result in dest.
*
* @param v
* the vector to add
* @param dest
* will hold the result
* @return dest
*/
Vector3d add(Vector3dc v, Vector3d dest);
/**
* Add the supplied vector to this one and store the result in dest.
*
* @param v
* the vector to add
* @param dest
* will hold the result
* @return dest
*/
Vector3d add(Vector3fc v, Vector3d dest);
/**
* Increment the components of this vector by the given values and store the result in dest.
*
* @param x
* the x component to add
* @param y
* the y component to add
* @param z
* the z component to add
* @param dest
* will hold the result
* @return dest
*/
Vector3d add(double x, double y, double z, Vector3d dest);
/**
* Add the component-wise multiplication of a * b to this vector
* and store the result in dest.
*
* @param a
* the first multiplicand
* @param b
* the second multiplicand
* @param dest
* will hold the result
* @return dest
*/
Vector3d fma(Vector3dc a, Vector3dc b, Vector3d dest);
/**
* Add the component-wise multiplication of a * b to this vector
* and store the result in dest.
*
* @param a
* the first multiplicand
* @param b
* the second multiplicand
* @param dest
* will hold the result
* @return dest
*/
Vector3d fma(double a, Vector3dc b, Vector3d dest);
/**
* Add the component-wise multiplication of a * b to this vector
* and store the result in dest.
*
* @param a
* the first multiplicand
* @param b
* the second multiplicand
* @param dest
* will hold the result
* @return dest
*/
Vector3d fma(Vector3dc a, Vector3fc b, Vector3d dest);
/**
* Add the component-wise multiplication of a * b to this vector
* and store the result in dest.
*
* @param a
* the first multiplicand
* @param b
* the second multiplicand
* @param dest
* will hold the result
* @return dest
*/
Vector3d fma(Vector3fc a, Vector3fc b, Vector3d dest);
/**
* Add the component-wise multiplication of a * b to this vector
* and store the result in dest.
*
* @param a
* the first multiplicand
* @param b
* the second multiplicand
* @param dest
* will hold the result
* @return dest
*/
Vector3d fma(double a, Vector3fc b, Vector3d dest);
/**
* Add the component-wise multiplication of this * a to b
* and store the result in dest.
*
* @param a
* the multiplicand
* @param b
* the addend
* @param dest
* will hold the result
* @return dest
*/
Vector3d mulAdd(Vector3dc a, Vector3dc b, Vector3d dest);
/**
* Add the component-wise multiplication of this * a to b
* and store the result in dest.
*
* @param a
* the multiplicand
* @param b
* the addend
* @param dest
* will hold the result
* @return dest
*/
Vector3d mulAdd(double a, Vector3dc b, Vector3d dest);
/**
* Add the component-wise multiplication of this * a to b
* and store the result in dest.
*
* @param a
* the multiplicand
* @param b
* the addend
* @param dest
* will hold the result
* @return dest
*/
Vector3d mulAdd(Vector3fc a, Vector3dc b, Vector3d dest);
/**
* Multiply this Vector3d component-wise by another Vector3f and store the result in dest.
*
* @param v
* the vector to multiply by
* @param dest
* will hold the result
* @return dest
*/
Vector3d mul(Vector3fc v, Vector3d dest);
/**
* Multiply this by v component-wise and store the result into dest.
*
* @param v
* the vector to multiply by
* @param dest
* will hold the result
* @return dest
*/
Vector3d mul(Vector3dc v, Vector3d dest);
/**
* Divide this Vector3d component-wise by another Vector3f and store the result in dest.
*
* @param v
* the vector to divide by
* @param dest
* will hold the result
* @return dest
*/
Vector3d div(Vector3fc v, Vector3d dest);
/**
* Divide this by v component-wise and store the result into dest.
*
* @param v
* the vector to divide by
* @param dest
* will hold the result
* @return dest
*/
Vector3d div(Vector3dc v, Vector3d dest);
/**
* Multiply the given matrix mat with this Vector3d, perform perspective division
* and store the result in dest.
*
* This method uses the given w as the fourth vector component.
*
* @param mat
* the matrix to multiply this vector by
* @param w
* the w component to use
* @param dest
* will hold the result
* @return dest
*/
Vector3d mulProject(Matrix4dc mat, double w, Vector3d dest);
/**
* Multiply the given matrix mat with this Vector3d, perform perspective division
* and store the result in dest.
*
* This method uses w=1.0 as the fourth vector component.
*
* @param mat
* the matrix to multiply this vector by
* @param dest
* will hold the result
* @return dest
*/
Vector3d mulProject(Matrix4dc mat, Vector3d dest);
/**
* Multiply the given matrix mat with this Vector3d, perform perspective division
* and store the result in dest.
*
* This method uses w=1.0 as the fourth vector component.
*
* @param mat
* the matrix to multiply this vector by
* @param dest
* will hold the result
* @return dest
*/
Vector3d mulProject(Matrix4fc mat, Vector3d dest);
/**
* Multiply the given matrix mat with this and store the
* result in dest.
*
* @param mat
* the matrix to multiply this vector by
* @param dest
* will hold the result
* @return dest
*/
Vector3d mul(Matrix3dc mat, Vector3d dest);
/**
* Multiply the given matrix mat with this and store the
* result in dest.
*
* @param mat
* the matrix to multiply this vector by
* @param dest
* will hold the result
* @return dest
*/
Vector3d mul(Matrix3fc mat, Vector3d dest);
/**
* Multiply the given matrix mat with this by assuming a
* third row in the matrix of (0, 0, 1) and store the result in dest.
*
* @param mat
* the matrix to multiply this vector by
* @param dest
* will hold the result
* @return dest
*/
Vector3d mul(Matrix3x2dc mat, Vector3d dest);
/**
* Multiply the given matrix mat with this by assuming a
* third row in the matrix of (0, 0, 1) and store the result in dest.
*
* @param mat
* the matrix to multiply this vector by
* @param dest
* will hold the result
* @return dest
*/
Vector3d mul(Matrix3x2fc mat, Vector3d dest);
/**
* Multiply the transpose of the given matrix with this Vector3f and store the result in dest.
*
* @param mat
* the matrix
* @param dest
* will hold the result
* @return dest
*/
Vector3d mulTranspose(Matrix3dc mat, Vector3d dest);
/**
* Multiply the transpose of the given matrix with this Vector3f and store the result in dest.
*
* @param mat
* the matrix
* @param dest
* will hold the result
* @return dest
*/
Vector3d mulTranspose(Matrix3fc mat, Vector3d dest);
/**
* Multiply the given 4x4 matrix mat with this and store the
* result in dest.
*
* This method assumes the w component of this to be 1.0.
*
* @param mat
* the matrix to multiply this vector by
* @param dest
* will hold the result
* @return dest
*/
Vector3d mulPosition(Matrix4dc mat, Vector3d dest);
/**
* Multiply the given 4x4 matrix mat with this and store the
* result in dest.
*
* This method assumes the w component of this to be 1.0.
*
* @param mat
* the matrix to multiply this vector by
* @param dest
* will hold the result
* @return dest
*/
Vector3d mulPosition(Matrix4fc mat, Vector3d dest);
/**
* Multiply the given 4x3 matrix mat with this and store the
* result in dest.
*
* This method assumes the w component of this to be 1.0.
*
* @param mat
* the matrix to multiply this vector by
* @param dest
* will hold the result
* @return dest
*/
Vector3d mulPosition(Matrix4x3dc mat, Vector3d dest);
/**
* Multiply the given 4x3 matrix mat with this and store the
* result in dest.
*
* This method assumes the w component of this to be 1.0.
*
* @param mat
* the matrix to multiply this vector by
* @param dest
* will hold the result
* @return dest
*/
Vector3d mulPosition(Matrix4x3fc mat, Vector3d dest);
/**
* Multiply the transpose of the given 4x4 matrix mat with this and store the
* result in dest.
*
* This method assumes the w component of this to be 1.0.
*
* @param mat
* the matrix whose transpose to multiply this vector by
* @param dest
* will hold the result
* @return dest
*/
Vector3d mulTransposePosition(Matrix4dc mat, Vector3d dest);
/**
* Multiply the transpose of the given 4x4 matrix mat with this and store the
* result in dest.
*
* This method assumes the w component of this to be 1.0.
*
* @param mat
* the matrix whose transpose to multiply this vector by
* @param dest
* will hold the result
* @return dest
*/
Vector3d mulTransposePosition(Matrix4fc mat, Vector3d dest);
/**
* Multiply the given 4x4 matrix mat with this, store the
* result in dest and return the w component of the resulting 4D vector.
*
* This method assumes the w component of this to be 1.0.
*
* @param mat
* the matrix to multiply this vector by
* @param dest
* will hold the (x, y, z) components of the resulting vector
* @return the w component of the resulting 4D vector after multiplication
*/
double mulPositionW(Matrix4fc mat, Vector3d dest);
/**
* Multiply the given 4x4 matrix mat with this, store the
* result in dest and return the w component of the resulting 4D vector.
*
* This method assumes the w component of this to be 1.0.
*
* @param mat
* the matrix to multiply this vector by
* @param dest
* will hold the (x, y, z) components of the resulting vector
* @return the w component of the resulting 4D vector after multiplication
*/
double mulPositionW(Matrix4dc mat, Vector3d dest);
/**
* Multiply the given 4x4 matrix mat with this and store the
* result in dest.
*
* This method assumes the w component of this to be 0.0.
*
* @param mat
* the matrix to multiply this vector by
* @param dest
* will hold the result
* @return dest
*/
Vector3d mulDirection(Matrix4dc mat, Vector3d dest);
/**
* Multiply the given 4x4 matrix mat with this and store the
* result in dest.
*
* This method assumes the w component of this to be 0.0.
*
* @param mat
* the matrix to multiply this vector by
* @param dest
* will hold the result
* @return dest
*/
Vector3d mulDirection(Matrix4fc mat, Vector3d dest);
/**
* Multiply the given 4x3 matrix mat with this and store the
* result in dest.
*
* This method assumes the w component of this to be 0.0.
*
* @param mat
* the matrix to multiply this vector by
* @param dest
* will hold the result
* @return dest
*/
Vector3d mulDirection(Matrix4x3dc mat, Vector3d dest);
/**
* Multiply the given 4x3 matrix mat with this and store the
* result in dest.
*
* This method assumes the w component of this to be 0.0.
*
* @param mat
* the matrix to multiply this vector by
* @param dest
* will hold the result
* @return dest
*/
Vector3d mulDirection(Matrix4x3fc mat, Vector3d dest);
/**
* Multiply the transpose of the given 4x4 matrix mat with this and store the
* result in dest.
*
* This method assumes the w component of this to be 0.0.
*
* @param mat
* the matrix whose transpose to multiply this vector by
* @param dest
* will hold the result
* @return dest
*/
Vector3d mulTransposeDirection(Matrix4dc mat, Vector3d dest);
/**
* Multiply the transpose of the given 4x4 matrix mat with this and store the
* result in dest.
*
* This method assumes the w component of this to be 0.0.
*
* @param mat
* the matrix whose transpose to multiply this vector by
* @param dest
* will hold the result
* @return dest
*/
Vector3d mulTransposeDirection(Matrix4fc mat, Vector3d dest);
/**
* Multiply this Vector3d by the given scalar value and store the result in dest.
*
* @param scalar
* the scalar factor
* @param dest
* will hold the result
* @return dest
*/
Vector3d mul(double scalar, Vector3d dest);
/**
* Multiply the components of this Vector3f by the given scalar values and store the result in dest.
*
* @param x
* the x component to multiply this vector by
* @param y
* the y component to multiply this vector by
* @param z
* the z component to multiply this vector by
* @param dest
* will hold the result
* @return dest
*/
Vector3d mul(double x, double y, double z, Vector3d dest);
/**
* Rotate this vector by the given quaternion quat and store the result in dest.
*
* @see Quaterniond#transform(Vector3d)
*
* @param quat
* the quaternion to rotate this vector
* @param dest
* will hold the result
* @return dest
*/
Vector3d rotate(Quaterniondc quat, Vector3d dest);
/**
* Compute the quaternion representing a rotation of this vector to point along toDir
* and store the result in dest.
*
* Because there can be multiple possible rotations, this method chooses the one with the shortest arc.
*
* @see Quaterniond#rotationTo(Vector3dc, Vector3dc)
*
* @param toDir
* the destination direction
* @param dest
* will hold the result
* @return dest
*/
Quaterniond rotationTo(Vector3dc toDir, Quaterniond dest);
/**
* Compute the quaternion representing a rotation of this vector to point along (toDirX, toDirY, toDirZ)
* and store the result in dest.
*
* Because there can be multiple possible rotations, this method chooses the one with the shortest arc.
*
* @see Quaterniond#rotationTo(double, double, double, double, double, double)
*
* @param toDirX
* the x coordinate of the destination direction
* @param toDirY
* the y coordinate of the destination direction
* @param toDirZ
* the z coordinate of the destination direction
* @param dest
* will hold the result
* @return dest
*/
Quaterniond rotationTo(double toDirX, double toDirY, double toDirZ, Quaterniond dest);
/**
* Rotate this vector the specified radians around the given rotation axis and store the result
* into dest.
*
* @param angle
* the angle in radians
* @param aX
* the x component of the rotation axis
* @param aY
* the y component of the rotation axis
* @param aZ
* the z component of the rotation axis
* @param dest
* will hold the result
* @return dest
*/
Vector3d rotateAxis(double angle, double aX, double aY, double aZ, Vector3d dest);
/**
* Rotate this vector the specified radians around the X axis and store the result
* into dest.
*
* @param angle
* the angle in radians
* @param dest
* will hold the result
* @return dest
*/
Vector3d rotateX(double angle, Vector3d dest);
/**
* Rotate this vector the specified radians around the Y axis and store the result
* into dest.
*
* @param angle
* the angle in radians
* @param dest
* will hold the result
* @return dest
*/
Vector3d rotateY(double angle, Vector3d dest);
/**
* Rotate this vector the specified radians around the Z axis and store the result
* into dest.
*
* @param angle
* the angle in radians
* @param dest
* will hold the result
* @return dest
*/
Vector3d rotateZ(double angle, Vector3d dest);
/**
* Divide this Vector3d by the given scalar value and store the result in dest.
*
* @param scalar
* the scalar to divide this vector by
* @param dest
* will hold the result
* @return dest
*/
Vector3d div(double scalar, Vector3d dest);
/**
* Divide the components of this Vector3f by the given scalar values and store the result in dest.
*
* @param x
* the x component to divide this vector by
* @param y
* the y component to divide this vector by
* @param z
* the z component to divide this vector by
* @param dest
* will hold the result
* @return dest
*/
Vector3d div(double x, double y, double z, Vector3d dest);
/**
* Return the length squared of this vector.
*
* @return the length squared
*/
double lengthSquared();
/**
* Return the length of this vector.
*
* @return the length
*/
double length();
/**
* Normalize this vector and store the result in dest.
*
* @param dest
* will hold the result
* @return dest
*/
Vector3d normalize(Vector3d dest);
/**
* Scale this vector to have the given length and store the result in dest.
*
* @param length
* the desired length
* @param dest
* will hold the result
* @return dest
*/
Vector3d normalize(double length, Vector3d dest);
/**
* Calculate the cross product of this and v2 and store the result in dest.
*
* @param v
* the other vector
* @param dest
* will hold the result
* @return dest
*/
Vector3d cross(Vector3dc v, Vector3d dest);
/**
* Compute the cross product of this vector and (x, y, z) and store the result in dest.
*
* @param x
* the x component of the other vector
* @param y
* the y component of the other vector
* @param z
* the z component of the other vector
* @param dest
* will hold the result
* @return dest
*/
Vector3d cross(double x, double y, double z, Vector3d dest);
/**
* Return the distance between this vector and v.
*
* @param v
* the other vector
* @return the distance
*/
double distance(Vector3dc v);
/**
* Return the distance between this vector and (x, y, z).
*
* @param x
* the x component of the other vector
* @param y
* the y component of the other vector
* @param z
* the z component of the other vector
* @return the euclidean distance
*/
double distance(double x, double y, double z);
/**
* Return the square of the distance between this vector and v.
*
* @param v
* the other vector
* @return the squared of the distance
*/
double distanceSquared(Vector3dc v);
/**
* Return the square of the distance between this vector and (x, y, z).
*
* @param x
* the x component of the other vector
* @param y
* the y component of the other vector
* @param z
* the z component of the other vector
* @return the square of the distance
*/
double distanceSquared(double x, double y, double z);
/**
* Return the dot product of this vector and the supplied vector.
*
* @param v
* the other vector
* @return the dot product
*/
double dot(Vector3dc v);
/**
* Return the dot product of this vector and the vector (x, y, z).
*
* @param x
* the x component of the other vector
* @param y
* the y component of the other vector
* @param z
* the z component of the other vector
* @return the dot product
*/
double dot(double x, double y, double z);
/**
* Return the cosine of the angle between this vector and
* the supplied vector. Use this instead of Math.cos(angle(v)).
*
* @see #angle(Vector3dc)
*
* @param v
* the other vector
* @return the cosine of the angle
*/
double angleCos(Vector3dc v);
/**
* Return the angle between this vector and the supplied vector.
*
* @see #angleCos(Vector3dc)
*
* @param v
* the other vector
* @return the angle, in radians
*/
double angle(Vector3dc v);
/**
* Return the signed angle between this vector and the supplied vector with
* respect to the plane with the given normal vector n.
*
* @see #angleCos(Vector3dc)
*
* @param v
* the other vector
* @param n
* the plane's normal vector
* @return the angle, in radians
*/
double angleSigned(Vector3dc v, Vector3dc n);
/**
* Return the signed angle between this vector and the supplied vector with
* respect to the plane with the given normal vector (nx, ny, nz).
*
* @param x
* the x coordinate of the other vector
* @param y
* the y coordinate of the other vector
* @param z
* the z coordinate of the other vector
* @param nx
* the x coordinate of the plane's normal vector
* @param ny
* the y coordinate of the plane's normal vector
* @param nz
* the z coordinate of the plane's normal vector
* @return the angle, in radians
*/
double angleSigned(double x, double y, double z, double nx, double ny, double nz);
/**
* Set the components of dest to be the component-wise minimum of this and the other vector.
*
* @param v
* the other vector
* @param dest
* will hold the result
* @return dest
*/
Vector3d min(Vector3dc v, Vector3d dest);
/**
* Set the components of dest to be the component-wise maximum of this and the other vector.
*
* @param v
* the other vector
* @param dest
* will hold the result
* @return dest
*/
Vector3d max(Vector3dc v, Vector3d dest);
/**
* Negate this vector and store the result in dest.
*
* @param dest
* will hold the result
* @return dest
*/
Vector3d negate(Vector3d dest);
/**
* Compute the absolute values of the individual components of this and store the result in dest.
*
* @param dest
* will hold the result
* @return dest
*/
Vector3d absolute(Vector3d dest);
/**
* Reflect this vector about the given normal vector and store the result in dest.
*
* @param normal
* the vector to reflect about
* @param dest
* will hold the result
* @return dest
*/
Vector3d reflect(Vector3dc normal, Vector3d dest);
/**
* Reflect this vector about the given normal vector and store the result in dest.
*
* @param x
* the x component of the normal
* @param y
* the y component of the normal
* @param z
* the z component of the normal
* @param dest
* will hold the result
* @return dest
*/
Vector3d reflect(double x, double y, double z, Vector3d dest);
/**
* Compute the half vector between this and the other vector and store the result in dest.
*
* @param other
* the other vector
* @param dest
* will hold the result
* @return dest
*/
Vector3d half(Vector3dc other, Vector3d dest);
/**
* Compute the half vector between this and the vector (x, y, z)
* and store the result in dest.
*
* @param x
* the x component of the other vector
* @param y
* the y component of the other vector
* @param z
* the z component of the other vector
* @param dest
* will hold the result
* @return dest
*/
Vector3d half(double x, double y, double z, Vector3d dest);
/**
* Compute a smooth-step (i.e. hermite with zero tangents) interpolation
* between this vector and the given vector v and
* store the result in dest.
*
* @param v
* the other vector
* @param t
* the interpolation factor, within [0..1]
* @param dest
* will hold the result
* @return dest
*/
Vector3d smoothStep(Vector3dc v, double t, Vector3d dest);
/**
* Compute a hermite interpolation between this vector and its
* associated tangent t0 and the given vector v
* with its tangent t1 and store the result in
* dest.
*
* @param t0
* the tangent of this vector
* @param v1
* the other vector
* @param t1
* the tangent of the other vector
* @param t
* the interpolation factor, within [0..1]
* @param dest
* will hold the result
* @return dest
*/
Vector3d hermite(Vector3dc t0, Vector3dc v1, Vector3dc t1, double t, Vector3d dest);
/**
* Linearly interpolate this and other using the given interpolation factor t
* and store the result in dest.
*
* If t is 0.0 then the result is this. If the interpolation factor is 1.0
* then the result is other.
*
* @param other
* the other vector
* @param t
* the interpolation factor between 0.0 and 1.0
* @param dest
* will hold the result
* @return dest
*/
Vector3d lerp(Vector3dc other, double t, Vector3d dest);
/**
* Get the value of the specified component of this vector.
*
* @param component
* the component, within [0..2]
* @return the value
* @throws IllegalArgumentException if component is not within [0..2]
*/
double get(int component) throws IllegalArgumentException;
/**
* Set the components of the given vector dest to those of this vector
* using the given {@link RoundingMode}.
*
* @param mode
* the {@link RoundingMode} to use
* @param dest
* will hold the result
* @return dest
*/
Vector3i get(int mode, Vector3i dest);
/**
* Set the components of the given vector dest to those of this vector.
*
* @param dest
* will hold the result
* @return dest
*/
Vector3f get(Vector3f dest);
/**
* Set the components of the given vector dest to those of this vector.
*
* @param dest
* will hold the result
* @return dest
*/
Vector3d get(Vector3d dest);
/**
* Determine the component with the biggest absolute value.
*
* @return the component index, within [0..2]
*/
int maxComponent();
/**
* Determine the component with the smallest (towards zero) absolute value.
*
* @return the component index, within [0..2]
*/
int minComponent();
/**
* Transform this vector so that it is orthogonal to the given vector v, normalize the result and store it into dest.
*
* Reference: Gram–Schmidt process
*
* @param v
* the reference vector which the result should be orthogonal to
* @param dest
* will hold the result
* @return dest
*/
Vector3d orthogonalize(Vector3dc v, Vector3d dest);
/**
* Transform this vector so that it is orthogonal to the given unit vector v, normalize the result and store it into dest.
*
* The vector v is assumed to be a {@link #normalize(Vector3d) unit} vector.
*
* Reference: Gram–Schmidt process
*
* @param v
* the reference unit vector which the result should be orthogonal to
* @param dest
* will hold the result
* @return dest
*/
Vector3d orthogonalizeUnit(Vector3dc v, Vector3d dest);
/**
* Compute for each component of this vector the largest (closest to positive
* infinity) {@code double} value that is less than or equal to that
* component and is equal to a mathematical integer and store the result in
* dest.
*
* @param dest
* will hold the result
* @return dest
*/
Vector3d floor(Vector3d dest);
/**
* Compute for each component of this vector the smallest (closest to negative
* infinity) {@code double} value that is greater than or equal to that
* component and is equal to a mathematical integer and store the result in
* dest.
*
* @param dest
* will hold the result
* @return dest
*/
Vector3d ceil(Vector3d dest);
/**
* Compute for each component of this vector the closest double that is equal to
* a mathematical integer, with ties rounding to positive infinity and store
* the result in dest.
*
* @param dest
* will hold the result
* @return dest
*/
Vector3d round(Vector3d dest);
/**
* Determine whether all components are finite floating-point values, that
* is, they are not {@link Double#isNaN() NaN} and not
* {@link Double#isInfinite() infinity}.
*
* @return {@code true} if all components are finite floating-point values;
* {@code false} otherwise
*/
boolean isFinite();
/**
* Compare the vector components of this vector with the given vector using the given delta
* and return whether all of them are equal within a maximum difference of delta.
*
* Please note that this method is not used by any data structure such as {@link ArrayList} {@link HashSet} or {@link HashMap}
* and their operations, such as {@link ArrayList#contains(Object)} or {@link HashSet#remove(Object)}, since those
* data structures only use the {@link Object#equals(Object)} and {@link Object#hashCode()} methods.
*
* @param v
* the other vector
* @param delta
* the allowed maximum difference
* @return true whether all of the vector components are equal; false otherwise
*/
boolean equals(Vector3dc v, double delta);
/**
* Compare the vector components of this vector with the given (x, y, z)
* and return whether all of them are equal.
*
* @param x
* the x component to compare to
* @param y
* the y component to compare to
* @param z
* the z component to compare to
* @return true if all the vector components are equal
*/
boolean equals(double x, double y, double z);
}