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System.Numerics.Vectors.xml
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System.Numerics.Vectors.xml
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<?xml version="1.0" encoding="utf-8"?><span>
<doc>
<assembly>
<name>System.Numerics.Vectors</name>
</assembly>
<members>
<member name="T:System.Numerics.Matrix3x2">
<summary>Represents a 3x2 matrix.</summary>
</member>
<member name="M:System.Numerics.Matrix3x2.#ctor(System.Single,System.Single,System.Single,System.Single,System.Single,System.Single)">
<summary>Creates a 3x2 matrix from the specified components.</summary>
<param name="m11">The value to assign to the first element in the first row.</param>
<param name="m12">The value to assign to the second element in the first row.</param>
<param name="m21">The value to assign to the first element in the second row.</param>
<param name="m22">The value to assign to the second element in the second row.</param>
<param name="m31">The value to assign to the first element in the third row.</param>
<param name="m32">The value to assign to the second element in the third row.</param>
</member>
<member name="M:System.Numerics.Matrix3x2.Add(System.Numerics.Matrix3x2,System.Numerics.Matrix3x2)">
<summary>Adds each element in one matrix with its corresponding element in a second matrix.</summary>
<param name="value1">The first matrix.</param>
<param name="value2">The second matrix.</param>
<returns>The matrix that contains the summed values of <paramref name="value1">value1</paramref> and <paramref name="value2">value2</paramref>.</returns>
</member>
<member name="M:System.Numerics.Matrix3x2.CreateRotation(System.Single)">
<summary>Creates a rotation matrix using the given rotation in radians.</summary>
<param name="radians">The amount of rotation, in radians.</param>
<returns>The rotation matrix.</returns>
</member>
<member name="M:System.Numerics.Matrix3x2.CreateRotation(System.Single,System.Numerics.Vector2)">
<summary>Creates a rotation matrix using the specified rotation in radians and a center point.</summary>
<param name="radians">The amount of rotation, in radians.</param>
<param name="centerPoint">The center point.</param>
<returns>The rotation matrix.</returns>
</member>
<member name="M:System.Numerics.Matrix3x2.CreateScale(System.Single,System.Single)">
<summary>Creates a scaling matrix from the specified X and Y components.</summary>
<param name="xScale">The value to scale by on the X axis.</param>
<param name="yScale">The value to scale by on the Y axis.</param>
<returns>The scaling matrix.</returns>
</member>
<member name="M:System.Numerics.Matrix3x2.CreateScale(System.Single,System.Numerics.Vector2)">
<summary>Creates a scaling matrix that scales uniformly with the specified scale with an offset from the specified center.</summary>
<param name="scale">The uniform scale to use.</param>
<param name="centerPoint">The center offset.</param>
<returns>The scaling matrix.</returns>
</member>
<member name="M:System.Numerics.Matrix3x2.CreateScale(System.Single,System.Single,System.Numerics.Vector2)">
<summary>Creates a scaling matrix that is offset by a given center point.</summary>
<param name="xScale">The value to scale by on the X axis.</param>
<param name="yScale">The value to scale by on the Y axis.</param>
<param name="centerPoint">The center point.</param>
<returns>The scaling matrix.</returns>
</member>
<member name="M:System.Numerics.Matrix3x2.CreateScale(System.Single)">
<summary>Creates a scaling matrix that scales uniformly with the given scale.</summary>
<param name="scale">The uniform scale to use.</param>
<returns>The scaling matrix.</returns>
</member>
<member name="M:System.Numerics.Matrix3x2.CreateScale(System.Numerics.Vector2)">
<summary>Creates a scaling matrix from the specified vector scale.</summary>
<param name="scales">The scale to use.</param>
<returns>The scaling matrix.</returns>
</member>
<member name="M:System.Numerics.Matrix3x2.CreateScale(System.Numerics.Vector2,System.Numerics.Vector2)">
<summary>Creates a scaling matrix from the specified vector scale with an offset from the specified center point.</summary>
<param name="scales">The scale to use.</param>
<param name="centerPoint">The center offset.</param>
<returns>The scaling matrix.</returns>
</member>
<member name="M:System.Numerics.Matrix3x2.CreateSkew(System.Single,System.Single)">
<summary>Creates a skew matrix from the specified angles in radians.</summary>
<param name="radiansX">The X angle, in radians.</param>
<param name="radiansY">The Y angle, in radians.</param>
<returns>The skew matrix.</returns>
</member>
<member name="M:System.Numerics.Matrix3x2.CreateSkew(System.Single,System.Single,System.Numerics.Vector2)">
<summary>Creates a skew matrix from the specified angles in radians and a center point.</summary>
<param name="radiansX">The X angle, in radians.</param>
<param name="radiansY">The Y angle, in radians.</param>
<param name="centerPoint">The center point.</param>
<returns>The skew matrix.</returns>
</member>
<member name="M:System.Numerics.Matrix3x2.CreateTranslation(System.Numerics.Vector2)">
<summary>Creates a translation matrix from the specified 2-dimensional vector.</summary>
<param name="position">The translation position.</param>
<returns>The translation matrix.</returns>
</member>
<member name="M:System.Numerics.Matrix3x2.CreateTranslation(System.Single,System.Single)">
<summary>Creates a translation matrix from the specified X and Y components.</summary>
<param name="xPosition">The X position.</param>
<param name="yPosition">The Y position.</param>
<returns>The translation matrix.</returns>
</member>
<member name="M:System.Numerics.Matrix3x2.Equals(System.Numerics.Matrix3x2)">
<summary>Returns a value that indicates whether this instance and another 3x2 matrix are equal.</summary>
<param name="other">The other matrix.</param>
<returns>true if the two matrices are equal; otherwise, false.</returns>
</member>
<member name="M:System.Numerics.Matrix3x2.Equals(System.Object)">
<summary>Returns a value that indicates whether this instance and a specified object are equal.</summary>
<param name="obj">The object to compare with the current instance.</param>
<returns>true if the current instance and <paramref name="obj">obj</paramref> are equal; otherwise, false```. If <code data-dev-comment-type="paramref">obj</code> isnull, the method returnsfalse`.</returns>
</member>
<member name="M:System.Numerics.Matrix3x2.GetDeterminant">
<summary>Calculates the determinant for this matrix.</summary>
<returns>The determinant.</returns>
</member>
<member name="M:System.Numerics.Matrix3x2.GetHashCode">
<summary>Returns the hash code for this instance.</summary>
<returns>The hash code.</returns>
</member>
<member name="P:System.Numerics.Matrix3x2.Identity">
<summary>Gets the multiplicative identity matrix.</summary>
<returns>The multiplicative identify matrix.</returns>
</member>
<member name="M:System.Numerics.Matrix3x2.Invert(System.Numerics.Matrix3x2,System.Numerics.Matrix3x2@)">
<summary>Inverts the specified matrix. The return value indicates whether the operation succeeded.</summary>
<param name="matrix">The matrix to invert.</param>
<param name="result">When this method returns, contains the inverted matrix if the operation succeeded.</param>
<returns>true if <paramref name="matrix">matrix</paramref> was converted successfully; otherwise, false.</returns>
</member>
<member name="P:System.Numerics.Matrix3x2.IsIdentity">
<summary>Indicates whether the current matrix is the identity matrix.</summary>
<returns>true if the current matrix is the identity matrix; otherwise, false.</returns>
</member>
<member name="M:System.Numerics.Matrix3x2.Lerp(System.Numerics.Matrix3x2,System.Numerics.Matrix3x2,System.Single)">
<summary>Performs a linear interpolation from one matrix to a second matrix based on a value that specifies the weighting of the second matrix.</summary>
<param name="matrix1">The first matrix.</param>
<param name="matrix2">The second matrix.</param>
<param name="amount">The relative weighting of matrix2.</param>
<returns>The interpolated matrix.</returns>
</member>
<member name="F:System.Numerics.Matrix3x2.M11">
<summary>The first element of the first row.</summary>
<returns></returns>
</member>
<member name="F:System.Numerics.Matrix3x2.M12">
<summary>The second element of the first row.</summary>
<returns></returns>
</member>
<member name="F:System.Numerics.Matrix3x2.M21">
<summary>The first element of the second row.</summary>
<returns></returns>
</member>
<member name="F:System.Numerics.Matrix3x2.M22">
<summary>The second element of the second row.</summary>
<returns></returns>
</member>
<member name="F:System.Numerics.Matrix3x2.M31">
<summary>The first element of the third row.</summary>
<returns></returns>
</member>
<member name="F:System.Numerics.Matrix3x2.M32">
<summary>The second element of the third row.</summary>
<returns></returns>
</member>
<member name="M:System.Numerics.Matrix3x2.Multiply(System.Numerics.Matrix3x2,System.Numerics.Matrix3x2)">
<summary>Returns the matrix that results from multiplying two matrices together.</summary>
<param name="value1">The first matrix.</param>
<param name="value2">The second matrix.</param>
<returns>The product matrix.</returns>
</member>
<member name="M:System.Numerics.Matrix3x2.Multiply(System.Numerics.Matrix3x2,System.Single)">
<summary>Returns the matrix that results from scaling all the elements of a specified matrix by a scalar factor.</summary>
<param name="value1">The matrix to scale.</param>
<param name="value2">The scaling value to use.</param>
<returns>The scaled matrix.</returns>
</member>
<member name="M:System.Numerics.Matrix3x2.Negate(System.Numerics.Matrix3x2)">
<summary>Negates the specified matrix by multiplying all its values by -1.</summary>
<param name="value">The matrix to negate.</param>
<returns>The negated matrix.</returns>
</member>
<member name="M:System.Numerics.Matrix3x2.op_Addition(System.Numerics.Matrix3x2,System.Numerics.Matrix3x2)">
<summary>Adds each element in one matrix with its corresponding element in a second matrix.</summary>
<param name="value1">The first matrix.</param>
<param name="value2">The second matrix.</param>
<returns>The matrix that contains the summed values.</returns>
</member>
<member name="M:System.Numerics.Matrix3x2.op_Equality(System.Numerics.Matrix3x2,System.Numerics.Matrix3x2)">
<summary>Returns a value that indicates whether the specified matrices are equal.</summary>
<param name="value1">The first matrix to compare.</param>
<param name="value2">The second matrix to compare.</param>
<returns>true if <paramref name="value1">value1</paramref> and <paramref name="value2">value2</paramref> are equal; otherwise, false.</returns>
</member>
<member name="M:System.Numerics.Matrix3x2.op_Inequality(System.Numerics.Matrix3x2,System.Numerics.Matrix3x2)">
<summary>Returns a value that indicates whether the specified matrices are not equal.</summary>
<param name="value1">The first matrix to compare.</param>
<param name="value2">The second matrix to compare.</param>
<returns>true if <paramref name="value1">value1</paramref> and <paramref name="value2">value2</paramref> are not equal; otherwise, false.</returns>
</member>
<member name="M:System.Numerics.Matrix3x2.op_Multiply(System.Numerics.Matrix3x2,System.Numerics.Matrix3x2)">
<summary>Returns the matrix that results from multiplying two matrices together.</summary>
<param name="value1">The first matrix.</param>
<param name="value2">The second matrix.</param>
<returns>The product matrix.</returns>
</member>
<member name="M:System.Numerics.Matrix3x2.op_Multiply(System.Numerics.Matrix3x2,System.Single)">
<summary>Returns the matrix that results from scaling all the elements of a specified matrix by a scalar factor.</summary>
<param name="value1">The matrix to scale.</param>
<param name="value2">The scaling value to use.</param>
<returns>The scaled matrix.</returns>
</member>
<member name="M:System.Numerics.Matrix3x2.op_Subtraction(System.Numerics.Matrix3x2,System.Numerics.Matrix3x2)">
<summary>Subtracts each element in a second matrix from its corresponding element in a first matrix.</summary>
<param name="value1">The first matrix.</param>
<param name="value2">The second matrix.</param>
<returns>The matrix containing the values that result from subtracting each element in <paramref name="value2">value2</paramref> from its corresponding element in <paramref name="value1">value1</paramref>.</returns>
</member>
<member name="M:System.Numerics.Matrix3x2.op_UnaryNegation(System.Numerics.Matrix3x2)">
<summary>Negates the specified matrix by multiplying all its values by -1.</summary>
<param name="value">The matrix to negate.</param>
<returns>The negated matrix.</returns>
</member>
<member name="M:System.Numerics.Matrix3x2.Subtract(System.Numerics.Matrix3x2,System.Numerics.Matrix3x2)">
<summary>Subtracts each element in a second matrix from its corresponding element in a first matrix.</summary>
<param name="value1">The first matrix.</param>
<param name="value2">The second matrix.</param>
<returns>The matrix containing the values that result from subtracting each element in <paramref name="value2">value2</paramref> from its corresponding element in <paramref name="value1">value1</paramref>.</returns>
</member>
<member name="M:System.Numerics.Matrix3x2.ToString">
<summary>Returns a string that represents this matrix.</summary>
<returns>The string representation of this matrix.</returns>
</member>
<member name="P:System.Numerics.Matrix3x2.Translation">
<summary>Gets or sets the translation component of this matrix.</summary>
<returns>The translation component of the current instance.</returns>
</member>
<member name="T:System.Numerics.Matrix4x4">
<summary>Represents a 4x4 matrix.</summary>
</member>
<member name="M:System.Numerics.Matrix4x4.#ctor(System.Numerics.Matrix3x2)">
<summary>Creates a <see cref="T:System.Numerics.Matrix4x4"></see> object from a specified <see cref="T:System.Numerics.Matrix3x2"></see> object.</summary>
<param name="value">A 3x2 matrix.</param>
</member>
<member name="M:System.Numerics.Matrix4x4.#ctor(System.Single,System.Single,System.Single,System.Single,System.Single,System.Single,System.Single,System.Single,System.Single,System.Single,System.Single,System.Single,System.Single,System.Single,System.Single,System.Single)">
<summary>Creates a 4x4 matrix from the specified components.</summary>
<param name="m11">The value to assign to the first element in the first row.</param>
<param name="m12">The value to assign to the second element in the first row.</param>
<param name="m13">The value to assign to the third element in the first row.</param>
<param name="m14">The value to assign to the fourth element in the first row.</param>
<param name="m21">The value to assign to the first element in the second row.</param>
<param name="m22">The value to assign to the second element in the second row.</param>
<param name="m23">The value to assign to the third element in the second row.</param>
<param name="m24">The value to assign to the third element in the second row.</param>
<param name="m31">The value to assign to the first element in the third row.</param>
<param name="m32">The value to assign to the second element in the third row.</param>
<param name="m33">The value to assign to the third element in the third row.</param>
<param name="m34">The value to assign to the fourth element in the third row.</param>
<param name="m41">The value to assign to the first element in the fourth row.</param>
<param name="m42">The value to assign to the second element in the fourth row.</param>
<param name="m43">The value to assign to the third element in the fourth row.</param>
<param name="m44">The value to assign to the fourth element in the fourth row.</param>
</member>
<member name="M:System.Numerics.Matrix4x4.Add(System.Numerics.Matrix4x4,System.Numerics.Matrix4x4)">
<summary>Adds each element in one matrix with its corresponding element in a second matrix.</summary>
<param name="value1">The first matrix.</param>
<param name="value2">The second matrix.</param>
<returns>The matrix that contains the summed values of <paramref name="value1">value1</paramref> and <paramref name="value2">value2</paramref>.</returns>
</member>
<member name="M:System.Numerics.Matrix4x4.CreateBillboard(System.Numerics.Vector3,System.Numerics.Vector3,System.Numerics.Vector3,System.Numerics.Vector3)">
<summary>Creates a spherical billboard that rotates around a specified object position.</summary>
<param name="objectPosition">The position of the object that the billboard will rotate around.</param>
<param name="cameraPosition">The position of the camera.</param>
<param name="cameraUpVector">The up vector of the camera.</param>
<param name="cameraForwardVector">The forward vector of the camera.</param>
<returns>The created billboard.</returns>
</member>
<member name="M:System.Numerics.Matrix4x4.CreateConstrainedBillboard(System.Numerics.Vector3,System.Numerics.Vector3,System.Numerics.Vector3,System.Numerics.Vector3,System.Numerics.Vector3)">
<summary>Creates a cylindrical billboard that rotates around a specified axis.</summary>
<param name="objectPosition">The position of the object that the billboard will rotate around.</param>
<param name="cameraPosition">The position of the camera.</param>
<param name="rotateAxis">The axis to rotate the billboard around.</param>
<param name="cameraForwardVector">The forward vector of the camera.</param>
<param name="objectForwardVector">The forward vector of the object.</param>
<returns>The billboard matrix.</returns>
</member>
<member name="M:System.Numerics.Matrix4x4.CreateFromAxisAngle(System.Numerics.Vector3,System.Single)">
<summary>Creates a matrix that rotates around an arbitrary vector.</summary>
<param name="axis">The axis to rotate around.</param>
<param name="angle">The angle to rotate around axis, in radians.</param>
<returns>The rotation matrix.</returns>
</member>
<member name="M:System.Numerics.Matrix4x4.CreateFromQuaternion(System.Numerics.Quaternion)">
<summary>Creates a rotation matrix from the specified Quaternion rotation value.</summary>
<param name="quaternion">The source Quaternion.</param>
<returns>The rotation matrix.</returns>
</member>
<member name="M:System.Numerics.Matrix4x4.CreateFromYawPitchRoll(System.Single,System.Single,System.Single)">
<summary>Creates a rotation matrix from the specified yaw, pitch, and roll.</summary>
<param name="yaw">The angle of rotation, in radians, around the Y axis.</param>
<param name="pitch">The angle of rotation, in radians, around the X axis.</param>
<param name="roll">The angle of rotation, in radians, around the Z axis.</param>
<returns>The rotation matrix.</returns>
</member>
<member name="M:System.Numerics.Matrix4x4.CreateLookAt(System.Numerics.Vector3,System.Numerics.Vector3,System.Numerics.Vector3)">
<summary>Creates a view matrix.</summary>
<param name="cameraPosition">The position of the camera.</param>
<param name="cameraTarget">The target towards which the camera is pointing.</param>
<param name="cameraUpVector">The direction that is "up" from the camera's point of view.</param>
<returns>The view matrix.</returns>
</member>
<member name="M:System.Numerics.Matrix4x4.CreateOrthographic(System.Single,System.Single,System.Single,System.Single)">
<summary>Creates an orthographic perspective matrix from the given view volume dimensions.</summary>
<param name="width">The width of the view volume.</param>
<param name="height">The height of the view volume.</param>
<param name="zNearPlane">The minimum Z-value of the view volume.</param>
<param name="zFarPlane">The maximum Z-value of the view volume.</param>
<returns>The orthographic projection matrix.</returns>
</member>
<member name="M:System.Numerics.Matrix4x4.CreateOrthographicOffCenter(System.Single,System.Single,System.Single,System.Single,System.Single,System.Single)">
<summary>Creates a customized orthographic projection matrix.</summary>
<param name="left">The minimum X-value of the view volume.</param>
<param name="right">The maximum X-value of the view volume.</param>
<param name="bottom">The minimum Y-value of the view volume.</param>
<param name="top">The maximum Y-value of the view volume.</param>
<param name="zNearPlane">The minimum Z-value of the view volume.</param>
<param name="zFarPlane">The maximum Z-value of the view volume.</param>
<returns>The orthographic projection matrix.</returns>
</member>
<member name="M:System.Numerics.Matrix4x4.CreatePerspective(System.Single,System.Single,System.Single,System.Single)">
<summary>Creates a perspective projection matrix from the given view volume dimensions.</summary>
<param name="width">The width of the view volume at the near view plane.</param>
<param name="height">The height of the view volume at the near view plane.</param>
<param name="nearPlaneDistance">The distance to the near view plane.</param>
<param name="farPlaneDistance">The distance to the far view plane.</param>
<returns>The perspective projection matrix.</returns>
<exception cref="T:System.ArgumentOutOfRangeException"><paramref name="nearPlaneDistance">nearPlaneDistance</paramref> is less than or equal to zero. -or- <paramref name="farPlaneDistance">farPlaneDistance</paramref> is less than or equal to zero. -or- <paramref name="nearPlaneDistance">nearPlaneDistance</paramref> is greater than or equal to <paramref name="farPlaneDistance">farPlaneDistance</paramref>.</exception>
</member>
<member name="M:System.Numerics.Matrix4x4.CreatePerspectiveFieldOfView(System.Single,System.Single,System.Single,System.Single)">
<summary>Creates a perspective projection matrix based on a field of view, aspect ratio, and near and far view plane distances.</summary>
<param name="fieldOfView">The field of view in the y direction, in radians.</param>
<param name="aspectRatio">The aspect ratio, defined as view space width divided by height.</param>
<param name="nearPlaneDistance">The distance to the near view plane.</param>
<param name="farPlaneDistance">The distance to the far view plane.</param>
<returns>The perspective projection matrix.</returns>
<exception cref="T:System.ArgumentOutOfRangeException"><paramref name="fieldOfView">fieldOfView</paramref> is less than or equal to zero. -or- <paramref name="fieldOfView">fieldOfView</paramref> is greater than or equal to <see cref="F:System.Math.PI"></see>. <paramref name="nearPlaneDistance">nearPlaneDistance</paramref> is less than or equal to zero. -or- <paramref name="farPlaneDistance">farPlaneDistance</paramref> is less than or equal to zero. -or- <paramref name="nearPlaneDistance">nearPlaneDistance</paramref> is greater than or equal to <paramref name="farPlaneDistance">farPlaneDistance</paramref>.</exception>
</member>
<member name="M:System.Numerics.Matrix4x4.CreatePerspectiveOffCenter(System.Single,System.Single,System.Single,System.Single,System.Single,System.Single)">
<summary>Creates a customized perspective projection matrix.</summary>
<param name="left">The minimum x-value of the view volume at the near view plane.</param>
<param name="right">The maximum x-value of the view volume at the near view plane.</param>
<param name="bottom">The minimum y-value of the view volume at the near view plane.</param>
<param name="top">The maximum y-value of the view volume at the near view plane.</param>
<param name="nearPlaneDistance">The distance to the near view plane.</param>
<param name="farPlaneDistance">The distance to the far view plane.</param>
<returns>The perspective projection matrix.</returns>
<exception cref="T:System.ArgumentOutOfRangeException"><paramref name="nearPlaneDistance">nearPlaneDistance</paramref> is less than or equal to zero. -or- <paramref name="farPlaneDistance">farPlaneDistance</paramref> is less than or equal to zero. -or- <paramref name="nearPlaneDistance">nearPlaneDistance</paramref> is greater than or equal to <paramref name="farPlaneDistance">farPlaneDistance</paramref>.</exception>
</member>
<member name="M:System.Numerics.Matrix4x4.CreateReflection(System.Numerics.Plane)">
<summary>Creates a matrix that reflects the coordinate system about a specified plane.</summary>
<param name="value">The plane about which to create a reflection.</param>
<returns>A new matrix expressing the reflection.</returns>
</member>
<member name="M:System.Numerics.Matrix4x4.CreateRotationX(System.Single)">
<summary>Creates a matrix for rotating points around the X axis.</summary>
<param name="radians">The amount, in radians, by which to rotate around the X axis.</param>
<returns>The rotation matrix.</returns>
</member>
<member name="M:System.Numerics.Matrix4x4.CreateRotationX(System.Single,System.Numerics.Vector3)">
<summary>Creates a matrix for rotating points around the X axis from a center point.</summary>
<param name="radians">The amount, in radians, by which to rotate around the X axis.</param>
<param name="centerPoint">The center point.</param>
<returns>The rotation matrix.</returns>
</member>
<member name="M:System.Numerics.Matrix4x4.CreateRotationY(System.Single,System.Numerics.Vector3)">
<summary>The amount, in radians, by which to rotate around the Y axis from a center point.</summary>
<param name="radians">The amount, in radians, by which to rotate around the Y-axis.</param>
<param name="centerPoint">The center point.</param>
<returns>The rotation matrix.</returns>
</member>
<member name="M:System.Numerics.Matrix4x4.CreateRotationY(System.Single)">
<summary>Creates a matrix for rotating points around the Y axis.</summary>
<param name="radians">The amount, in radians, by which to rotate around the Y-axis.</param>
<returns>The rotation matrix.</returns>
</member>
<member name="M:System.Numerics.Matrix4x4.CreateRotationZ(System.Single)">
<summary>Creates a matrix for rotating points around the Z axis.</summary>
<param name="radians">The amount, in radians, by which to rotate around the Z-axis.</param>
<returns>The rotation matrix.</returns>
</member>
<member name="M:System.Numerics.Matrix4x4.CreateRotationZ(System.Single,System.Numerics.Vector3)">
<summary>Creates a matrix for rotating points around the Z axis from a center point.</summary>
<param name="radians">The amount, in radians, by which to rotate around the Z-axis.</param>
<param name="centerPoint">The center point.</param>
<returns>The rotation matrix.</returns>
</member>
<member name="M:System.Numerics.Matrix4x4.CreateScale(System.Numerics.Vector3)">
<summary>Creates a scaling matrix from the specified vector scale.</summary>
<param name="scales">The scale to use.</param>
<returns>The scaling matrix.</returns>
</member>
<member name="M:System.Numerics.Matrix4x4.CreateScale(System.Single)">
<summary>Creates a uniform scaling matrix that scale equally on each axis.</summary>
<param name="scale">The uniform scaling factor.</param>
<returns>The scaling matrix.</returns>
</member>
<member name="M:System.Numerics.Matrix4x4.CreateScale(System.Numerics.Vector3,System.Numerics.Vector3)">
<summary>Creates a scaling matrix with a center point.</summary>
<param name="scales">The vector that contains the amount to scale on each axis.</param>
<param name="centerPoint">The center point.</param>
<returns>The scaling matrix.</returns>
</member>
<member name="M:System.Numerics.Matrix4x4.CreateScale(System.Single,System.Numerics.Vector3)">
<summary>Creates a uniform scaling matrix that scales equally on each axis with a center point.</summary>
<param name="scale">The uniform scaling factor.</param>
<param name="centerPoint">The center point.</param>
<returns>The scaling matrix.</returns>
</member>
<member name="M:System.Numerics.Matrix4x4.CreateScale(System.Single,System.Single,System.Single)">
<summary>Creates a scaling matrix from the specified X, Y, and Z components.</summary>
<param name="xScale">The value to scale by on the X axis.</param>
<param name="yScale">The value to scale by on the Y axis.</param>
<param name="zScale">The value to scale by on the Z axis.</param>
<returns>The scaling matrix.</returns>
</member>
<member name="M:System.Numerics.Matrix4x4.CreateScale(System.Single,System.Single,System.Single,System.Numerics.Vector3)">
<summary>Creates a scaling matrix that is offset by a given center point.</summary>
<param name="xScale">The value to scale by on the X axis.</param>
<param name="yScale">The value to scale by on the Y axis.</param>
<param name="zScale">The value to scale by on the Z axis.</param>
<param name="centerPoint">The center point.</param>
<returns>The scaling matrix.</returns>
</member>
<member name="M:System.Numerics.Matrix4x4.CreateShadow(System.Numerics.Vector3,System.Numerics.Plane)">
<summary>Creates a matrix that flattens geometry into a specified plane as if casting a shadow from a specified light source.</summary>
<param name="lightDirection">The direction from which the light that will cast the shadow is coming.</param>
<param name="plane">The plane onto which the new matrix should flatten geometry so as to cast a shadow.</param>
<returns>A new matrix that can be used to flatten geometry onto the specified plane from the specified direction.</returns>
</member>
<member name="M:System.Numerics.Matrix4x4.CreateTranslation(System.Numerics.Vector3)">
<summary>Creates a translation matrix from the specified 3-dimensional vector.</summary>
<param name="position">The amount to translate in each axis.</param>
<returns>The translation matrix.</returns>
</member>
<member name="M:System.Numerics.Matrix4x4.CreateTranslation(System.Single,System.Single,System.Single)">
<summary>Creates a translation matrix from the specified X, Y, and Z components.</summary>
<param name="xPosition">The amount to translate on the X axis.</param>
<param name="yPosition">The amount to translate on the Y axis.</param>
<param name="zPosition">The amount to translate on the Z axis.</param>
<returns>The translation matrix.</returns>
</member>
<member name="M:System.Numerics.Matrix4x4.CreateWorld(System.Numerics.Vector3,System.Numerics.Vector3,System.Numerics.Vector3)">
<summary>Creates a world matrix with the specified parameters.</summary>
<param name="position">The position of the object.</param>
<param name="forward">The forward direction of the object.</param>
<param name="up">The upward direction of the object. Its value is usually [0, 1, 0].</param>
<returns>The world matrix.</returns>
</member>
<member name="M:System.Numerics.Matrix4x4.Decompose(System.Numerics.Matrix4x4,System.Numerics.Vector3@,System.Numerics.Quaternion@,System.Numerics.Vector3@)">
<summary>Attempts to extract the scale, translation, and rotation components from the given scale, rotation, or translation matrix. The return value indicates whether the operation succeeded.</summary>
<param name="matrix">The source matrix.</param>
<param name="scale">When this method returns, contains the scaling component of the transformation matrix if the operation succeeded.</param>
<param name="rotation">When this method returns, contains the rotation component of the transformation matrix if the operation succeeded.</param>
<param name="translation">When the method returns, contains the translation component of the transformation matrix if the operation succeeded.</param>
<returns>true if <paramref name="matrix">matrix</paramref> was decomposed successfully; otherwise, false.</returns>
</member>
<member name="M:System.Numerics.Matrix4x4.Equals(System.Numerics.Matrix4x4)">
<summary>Returns a value that indicates whether this instance and another 4x4 matrix are equal.</summary>
<param name="other">The other matrix.</param>
<returns>true if the two matrices are equal; otherwise, false.</returns>
</member>
<member name="M:System.Numerics.Matrix4x4.Equals(System.Object)">
<summary>Returns a value that indicates whether this instance and a specified object are equal.</summary>
<param name="obj">The object to compare with the current instance.</param>
<returns>true if the current instance and <paramref name="obj">obj</paramref> are equal; otherwise, false```. If <code data-dev-comment-type="paramref">obj</code> isnull, the method returnsfalse`.</returns>
</member>
<member name="M:System.Numerics.Matrix4x4.GetDeterminant">
<summary>Calculates the determinant of the current 4x4 matrix.</summary>
<returns>The determinant.</returns>
</member>
<member name="M:System.Numerics.Matrix4x4.GetHashCode">
<summary>Returns the hash code for this instance.</summary>
<returns>The hash code.</returns>
</member>
<member name="P:System.Numerics.Matrix4x4.Identity">
<summary>Gets the multiplicative identity matrix.</summary>
<returns>Gets the multiplicative identity matrix.</returns>
</member>
<member name="M:System.Numerics.Matrix4x4.Invert(System.Numerics.Matrix4x4,System.Numerics.Matrix4x4@)">
<summary>Inverts the specified matrix. The return value indicates whether the operation succeeded.</summary>
<param name="matrix">The matrix to invert.</param>
<param name="result">When this method returns, contains the inverted matrix if the operation succeeded.</param>
<returns>true if <paramref name="matrix">matrix</paramref> was converted successfully; otherwise, false.</returns>
</member>
<member name="P:System.Numerics.Matrix4x4.IsIdentity">
<summary>Indicates whether the current matrix is the identity matrix.</summary>
<returns>true if the current matrix is the identity matrix; otherwise, false.</returns>
</member>
<member name="M:System.Numerics.Matrix4x4.Lerp(System.Numerics.Matrix4x4,System.Numerics.Matrix4x4,System.Single)">
<summary>Performs a linear interpolation from one matrix to a second matrix based on a value that specifies the weighting of the second matrix.</summary>
<param name="matrix1">The first matrix.</param>
<param name="matrix2">The second matrix.</param>
<param name="amount">The relative weighting of matrix2.</param>
<returns>The interpolated matrix.</returns>
</member>
<member name="F:System.Numerics.Matrix4x4.M11">
<summary>The first element of the first row.</summary>
<returns></returns>
</member>
<member name="F:System.Numerics.Matrix4x4.M12">
<summary>The second element of the first row.</summary>
<returns></returns>
</member>
<member name="F:System.Numerics.Matrix4x4.M13">
<summary>The third element of the first row.</summary>
<returns></returns>
</member>
<member name="F:System.Numerics.Matrix4x4.M14">
<summary>The fourth element of the first row.</summary>
<returns></returns>
</member>
<member name="F:System.Numerics.Matrix4x4.M21">
<summary>The first element of the second row.</summary>
<returns></returns>
</member>
<member name="F:System.Numerics.Matrix4x4.M22">
<summary>The second element of the second row.</summary>
<returns></returns>
</member>
<member name="F:System.Numerics.Matrix4x4.M23">
<summary>The third element of the second row.</summary>
<returns></returns>
</member>
<member name="F:System.Numerics.Matrix4x4.M24">
<summary>The fourth element of the second row.</summary>
<returns></returns>
</member>
<member name="F:System.Numerics.Matrix4x4.M31">
<summary>The first element of the third row.</summary>
<returns></returns>
</member>
<member name="F:System.Numerics.Matrix4x4.M32">
<summary>The second element of the third row.</summary>
<returns></returns>
</member>
<member name="F:System.Numerics.Matrix4x4.M33">
<summary>The third element of the third row.</summary>
<returns></returns>
</member>
<member name="F:System.Numerics.Matrix4x4.M34">
<summary>The fourth element of the third row.</summary>
<returns></returns>
</member>
<member name="F:System.Numerics.Matrix4x4.M41">
<summary>The first element of the fourth row.</summary>
<returns></returns>
</member>
<member name="F:System.Numerics.Matrix4x4.M42">
<summary>The second element of the fourth row.</summary>
<returns></returns>
</member>
<member name="F:System.Numerics.Matrix4x4.M43">
<summary>The third element of the fourth row.</summary>
<returns></returns>
</member>
<member name="F:System.Numerics.Matrix4x4.M44">
<summary>The fourth element of the fourth row.</summary>
<returns></returns>
</member>
<member name="M:System.Numerics.Matrix4x4.Multiply(System.Numerics.Matrix4x4,System.Numerics.Matrix4x4)">
<summary>Returns the matrix that results from multiplying two matrices together.</summary>
<param name="value1">The first matrix.</param>
<param name="value2">The second matrix.</param>
<returns>The product matrix.</returns>
</member>
<member name="M:System.Numerics.Matrix4x4.Multiply(System.Numerics.Matrix4x4,System.Single)">
<summary>Returns the matrix that results from scaling all the elements of a specified matrix by a scalar factor.</summary>
<param name="value1">The matrix to scale.</param>
<param name="value2">The scaling value to use.</param>
<returns>The scaled matrix.</returns>
</member>
<member name="M:System.Numerics.Matrix4x4.Negate(System.Numerics.Matrix4x4)">
<summary>Negates the specified matrix by multiplying all its values by -1.</summary>
<param name="value">The matrix to negate.</param>
<returns>The negated matrix.</returns>
</member>
<member name="M:System.Numerics.Matrix4x4.op_Addition(System.Numerics.Matrix4x4,System.Numerics.Matrix4x4)">
<summary>Adds each element in one matrix with its corresponding element in a second matrix.</summary>
<param name="value1">The first matrix.</param>
<param name="value2">The second matrix.</param>
<returns>The matrix that contains the summed values.</returns>
</member>
<member name="M:System.Numerics.Matrix4x4.op_Equality(System.Numerics.Matrix4x4,System.Numerics.Matrix4x4)">
<summary>Returns a value that indicates whether the specified matrices are equal.</summary>
<param name="value1">The first matrix to compare.</param>
<param name="value2">The second matrix to care</param>
<returns>true if <paramref name="value1">value1</paramref> and <paramref name="value2">value2</paramref> are equal; otherwise, false.</returns>
</member>
<member name="M:System.Numerics.Matrix4x4.op_Inequality(System.Numerics.Matrix4x4,System.Numerics.Matrix4x4)">
<summary>Returns a value that indicates whether the specified matrices are not equal.</summary>
<param name="value1">The first matrix to compare.</param>
<param name="value2">The second matrix to compare.</param>
<returns>true if <paramref name="value1">value1</paramref> and <paramref name="value2">value2</paramref> are not equal; otherwise, false.</returns>
</member>
<member name="M:System.Numerics.Matrix4x4.op_Multiply(System.Numerics.Matrix4x4,System.Single)">
<summary>Returns the matrix that results from scaling all the elements of a specified matrix by a scalar factor.</summary>
<param name="value1">The matrix to scale.</param>
<param name="value2">The scaling value to use.</param>
<returns>The scaled matrix.</returns>
</member>
<member name="M:System.Numerics.Matrix4x4.op_Multiply(System.Numerics.Matrix4x4,System.Numerics.Matrix4x4)">
<summary>Returns the matrix that results from multiplying two matrices together.</summary>
<param name="value1">The first matrix.</param>
<param name="value2">The second matrix.</param>
<returns>The product matrix.</returns>
</member>
<member name="M:System.Numerics.Matrix4x4.op_Subtraction(System.Numerics.Matrix4x4,System.Numerics.Matrix4x4)">
<summary>Subtracts each element in a second matrix from its corresponding element in a first matrix.</summary>
<param name="value1">The first matrix.</param>
<param name="value2">The second matrix.</param>
<returns>The matrix containing the values that result from subtracting each element in <paramref name="value2">value2</paramref> from its corresponding element in <paramref name="value1">value1</paramref>.</returns>
</member>
<member name="M:System.Numerics.Matrix4x4.op_UnaryNegation(System.Numerics.Matrix4x4)">
<summary>Negates the specified matrix by multiplying all its values by -1.</summary>
<param name="value">The matrix to negate.</param>
<returns>The negated matrix.</returns>
</member>
<member name="M:System.Numerics.Matrix4x4.Subtract(System.Numerics.Matrix4x4,System.Numerics.Matrix4x4)">
<summary>Subtracts each element in a second matrix from its corresponding element in a first matrix.</summary>
<param name="value1">The first matrix.</param>
<param name="value2">The second matrix.</param>
<returns>The matrix containing the values that result from subtracting each element in <paramref name="value2">value2</paramref> from its corresponding element in <paramref name="value1">value1</paramref>.</returns>
</member>
<member name="M:System.Numerics.Matrix4x4.ToString">
<summary>Returns a string that represents this matrix.</summary>
<returns>The string representation of this matrix.</returns>
</member>
<member name="M:System.Numerics.Matrix4x4.Transform(System.Numerics.Matrix4x4,System.Numerics.Quaternion)">
<summary>Transforms the specified matrix by applying the specified Quaternion rotation.</summary>
<param name="value">The matrix to transform.</param>
<param name="rotation">The rotation t apply.</param>
<returns>The transformed matrix.</returns>
</member>
<member name="P:System.Numerics.Matrix4x4.Translation">
<summary>Gets or sets the translation component of this matrix.</summary>
<returns>The translation component of the current instance.</returns>
</member>
<member name="M:System.Numerics.Matrix4x4.Transpose(System.Numerics.Matrix4x4)">
<summary>Transposes the rows and columns of a matrix.</summary>
<param name="matrix">The matrix to transpose.</param>
<returns>The transposed matrix.</returns>
</member>
<member name="T:System.Numerics.Plane">
<summary>Represents a three-dimensional plane.</summary>
</member>
<member name="M:System.Numerics.Plane.#ctor(System.Numerics.Vector4)">
<summary>Creates a <see cref="T:System.Numerics.Plane"></see> object from a specified four-dimensional vector.</summary>
<param name="value">A vector whose first three elements describe the normal vector, and whose <see cref="F:System.Numerics.Vector4.W"></see> defines the distance along that normal from the origin.</param>
</member>
<member name="M:System.Numerics.Plane.#ctor(System.Numerics.Vector3,System.Single)">
<summary>Creates a <see cref="T:System.Numerics.Plane"></see> object from a specified normal and the distance along the normal from the origin.</summary>
<param name="normal">The plane's normal vector.</param>
<param name="d">The plane's distance from the origin along its normal vector.</param>
</member>
<member name="M:System.Numerics.Plane.#ctor(System.Single,System.Single,System.Single,System.Single)">
<summary>Creates a <see cref="T:System.Numerics.Plane"></see> object from the X, Y, and Z components of its normal, and its distance from the origin on that normal.</summary>
<param name="x">The X component of the normal.</param>
<param name="y">The Y component of the normal.</param>
<param name="z">The Z component of the normal.</param>
<param name="d">The distance of the plane along its normal from the origin.</param>
</member>
<member name="M:System.Numerics.Plane.CreateFromVertices(System.Numerics.Vector3,System.Numerics.Vector3,System.Numerics.Vector3)">
<summary>Creates a <see cref="T:System.Numerics.Plane"></see> object that contains three specified points.</summary>
<param name="point1">The first point defining the plane.</param>
<param name="point2">The second point defining the plane.</param>
<param name="point3">The third point defining the plane.</param>
<returns>The plane containing the three points.</returns>
</member>
<member name="F:System.Numerics.Plane.D">
<summary>The distance of the plane along its normal from the origin.</summary>
<returns></returns>
</member>
<member name="M:System.Numerics.Plane.Dot(System.Numerics.Plane,System.Numerics.Vector4)">
<summary>Calculates the dot product of a plane and a 4-dimensional vector.</summary>
<param name="plane">The plane.</param>
<param name="value">The four-dimensional vector.</param>
<returns>The dot product.</returns>
</member>
<member name="M:System.Numerics.Plane.DotCoordinate(System.Numerics.Plane,System.Numerics.Vector3)">
<summary>Returns the dot product of a specified three-dimensional vector and the normal vector of this plane plus the distance (<see cref="F:System.Numerics.Plane.D"></see>) value of the plane.</summary>
<param name="plane">The plane.</param>
<param name="value">The 3-dimensional vector.</param>
<returns>The dot product.</returns>
</member>
<member name="M:System.Numerics.Plane.DotNormal(System.Numerics.Plane,System.Numerics.Vector3)">
<summary>Returns the dot product of a specified three-dimensional vector and the <see cref="F:System.Numerics.Plane.Normal"></see> vector of this plane.</summary>
<param name="plane">The plane.</param>
<param name="value">The three-dimensional vector.</param>
<returns>The dot product.</returns>
</member>
<member name="M:System.Numerics.Plane.Equals(System.Object)">
<summary>Returns a value that indicates whether this instance and a specified object are equal.</summary>
<param name="obj">The object to compare with the current instance.</param>
<returns>true if the current instance and <paramref name="obj">obj</paramref> are equal; otherwise, false```. If <code data-dev-comment-type="paramref">obj</code> isnull, the method returnsfalse`.</returns>
</member>
<member name="M:System.Numerics.Plane.Equals(System.Numerics.Plane)">
<summary>Returns a value that indicates whether this instance and another plane object are equal.</summary>
<param name="other">The other plane.</param>
<returns>true if the two planes are equal; otherwise, false.</returns>
</member>
<member name="M:System.Numerics.Plane.GetHashCode">
<summary>Returns the hash code for this instance.</summary>
<returns>The hash code.</returns>
</member>
<member name="F:System.Numerics.Plane.Normal">
<summary>The normal vector of the plane.</summary>
<returns></returns>
</member>
<member name="M:System.Numerics.Plane.Normalize(System.Numerics.Plane)">
<summary>Creates a new <see cref="T:System.Numerics.Plane"></see> object whose normal vector is the source plane's normal vector normalized.</summary>
<param name="value">The source plane.</param>
<returns>The normalized plane.</returns>
</member>
<member name="M:System.Numerics.Plane.op_Equality(System.Numerics.Plane,System.Numerics.Plane)">
<summary>Returns a value that indicates whether two planes are equal.</summary>
<param name="value1">The first plane to compare.</param>
<param name="value2">The second plane to compare.</param>
<returns>true if <paramref name="value1">value1</paramref> and <paramref name="value2">value2</paramref> are equal; otherwise, false.</returns>
</member>
<member name="M:System.Numerics.Plane.op_Inequality(System.Numerics.Plane,System.Numerics.Plane)">
<summary>Returns a value that indicates whether two planes are not equal.</summary>
<param name="value1">The first plane to compare.</param>
<param name="value2">The second plane to compare.</param>
<returns>true if <paramref name="value1">value1</paramref> and <paramref name="value2">value2</paramref> are not equal; otherwise, false.</returns>
</member>
<member name="M:System.Numerics.Plane.ToString">
<summary>Returns the string representation of this plane object.</summary>
<returns>A string that represents this <see cref="T:System.Numerics.Plane"></see> object.</returns>
</member>
<member name="M:System.Numerics.Plane.Transform(System.Numerics.Plane,System.Numerics.Matrix4x4)">
<summary>Transforms a normalized plane by a 4x4 matrix.</summary>
<param name="plane">The normalized plane to transform.</param>
<param name="matrix">The transformation matrix to apply to plane.</param>
<returns>The transformed plane.</returns>
</member>
<member name="M:System.Numerics.Plane.Transform(System.Numerics.Plane,System.Numerics.Quaternion)">
<summary>Transforms a normalized plane by a Quaternion rotation.</summary>
<param name="plane">The normalized plane to transform.</param>
<param name="rotation">The Quaternion rotation to apply to the plane.</param>
<returns>A new plane that results from applying the Quaternion rotation.</returns>
</member>
<member name="T:System.Numerics.Quaternion">
<summary>Represents a vector that is used to encode three-dimensional physical rotations.</summary>
</member>
<member name="M:System.Numerics.Quaternion.#ctor(System.Numerics.Vector3,System.Single)">
<summary>Creates a quaternion from the specified vector and rotation parts.</summary>
<param name="vectorPart">The vector part of the quaternion.</param>
<param name="scalarPart">The rotation part of the quaternion.</param>
</member>
<member name="M:System.Numerics.Quaternion.#ctor(System.Single,System.Single,System.Single,System.Single)">
<summary>Constructs a quaternion from the specified components.</summary>
<param name="x">The value to assign to the X component of the quaternion.</param>
<param name="y">The value to assign to the Y component of the quaternion.</param>
<param name="z">The value to assign to the Z component of the quaternion.</param>
<param name="w">The value to assign to the W component of the quaternion.</param>
</member>
<member name="M:System.Numerics.Quaternion.Add(System.Numerics.Quaternion,System.Numerics.Quaternion)">
<summary>Adds each element in one quaternion with its corresponding element in a second quaternion.</summary>
<param name="value1">The first quaternion.</param>
<param name="value2">The second quaternion.</param>
<returns>The quaternion that contains the summed values of <paramref name="value1">value1</paramref> and <paramref name="value2">value2</paramref>.</returns>
</member>
<member name="M:System.Numerics.Quaternion.Concatenate(System.Numerics.Quaternion,System.Numerics.Quaternion)">
<summary>Concatenates two quaternions.</summary>
<param name="value1">The first quaternion rotation in the series.</param>
<param name="value2">The second quaternion rotation in the series.</param>
<returns>A new quaternion representing the concatenation of the <paramref name="value1">value1</paramref> rotation followed by the <paramref name="value2">value2</paramref> rotation.</returns>
</member>
<member name="M:System.Numerics.Quaternion.Conjugate(System.Numerics.Quaternion)">
<summary>Returns the conjugate of a specified quaternion.</summary>
<param name="value">The quaternion.</param>
<returns>A new quaternion that is the conjugate of value.</returns>
</member>
<member name="M:System.Numerics.Quaternion.CreateFromAxisAngle(System.Numerics.Vector3,System.Single)">
<summary>Creates a quaternion from a vector and an angle to rotate about the vector.</summary>
<param name="axis">The vector to rotate around.</param>
<param name="angle">The angle, in radians, to rotate around the vector.</param>
<returns>The newly created quaternion.</returns>
</member>
<member name="M:System.Numerics.Quaternion.CreateFromRotationMatrix(System.Numerics.Matrix4x4)">
<summary>Creates a quaternion from the specified rotation matrix.</summary>
<param name="matrix">The rotation matrix.</param>
<returns>The newly created quaternion.</returns>
</member>
<member name="M:System.Numerics.Quaternion.CreateFromYawPitchRoll(System.Single,System.Single,System.Single)">
<summary>Creates a new quaternion from the given yaw, pitch, and roll.</summary>
<param name="yaw">The yaw angle, in radians, around the Y axis.</param>
<param name="pitch">The pitch angle, in radians, around the X axis.</param>
<param name="roll">The roll angle, in radians, around the Z axis.</param>
<returns>The resulting quaternion.</returns>
</member>
<member name="M:System.Numerics.Quaternion.Divide(System.Numerics.Quaternion,System.Numerics.Quaternion)">
<summary>Divides one quaternion by a second quaternion.</summary>
<param name="value1">The dividend.</param>
<param name="value2">The divisor.</param>
<returns>The quaternion that results from dividing <paramref name="value1">value1</paramref> by <paramref name="value2">value2</paramref>.</returns>
</member>
<member name="M:System.Numerics.Quaternion.Dot(System.Numerics.Quaternion,System.Numerics.Quaternion)">
<summary>Calculates the dot product of two quaternions.</summary>
<param name="quaternion1">The first quaternion.</param>
<param name="quaternion2">The second quaternion.</param>
<returns>The dot product.</returns>
</member>
<member name="M:System.Numerics.Quaternion.Equals(System.Numerics.Quaternion)">
<summary>Returns a value that indicates whether this instance and another quaternion are equal.</summary>
<param name="other">The other quaternion.</param>
<returns>true if the two quaternions are equal; otherwise, false.</returns>
</member>
<member name="M:System.Numerics.Quaternion.Equals(System.Object)">
<summary>Returns a value that indicates whether this instance and a specified object are equal.</summary>
<param name="obj">The object to compare with the current instance.</param>
<returns>true if the current instance and <paramref name="obj">obj</paramref> are equal; otherwise, false```. If <code data-dev-comment-type="paramref">obj</code> isnull, the method returnsfalse`.</returns>
</member>
<member name="M:System.Numerics.Quaternion.GetHashCode">
<summary>Returns the hash code for this instance.</summary>
<returns>The hash code.</returns>
</member>
<member name="P:System.Numerics.Quaternion.Identity">
<summary>Gets a quaternion that represents no rotation.</summary>
<returns>A quaternion whose values are (0, 0, 0, 1).</returns>
</member>
<member name="M:System.Numerics.Quaternion.Inverse(System.Numerics.Quaternion)">
<summary>Returns the inverse of a quaternion.</summary>
<param name="value">The quaternion.</param>
<returns>The inverted quaternion.</returns>
</member>
<member name="P:System.Numerics.Quaternion.IsIdentity">
<summary>Gets a value that indicates whether the current instance is the identity quaternion.</summary>
<returns>true if the current instance is the identity quaternion; otherwise, false.</returns>
</member>
<member name="M:System.Numerics.Quaternion.Length">
<summary>Calculates the length of the quaternion.</summary>
<returns>The computed length of the quaternion.</returns>
</member>
<member name="M:System.Numerics.Quaternion.LengthSquared">
<summary>Calculates the squared length of the quaternion.</summary>
<returns>The length squared of the quaternion.</returns>
</member>
<member name="M:System.Numerics.Quaternion.Lerp(System.Numerics.Quaternion,System.Numerics.Quaternion,System.Single)">
<summary>Performs a linear interpolation between two quaternions based on a value that specifies the weighting of the second quaternion.</summary>
<param name="quaternion1">The first quaternion.</param>
<param name="quaternion2">The second quaternion.</param>
<param name="amount">The relative weight of quaternion2 in the interpolation.</param>
<returns>The interpolated quaternion.</returns>
</member>
<member name="M:System.Numerics.Quaternion.Multiply(System.Numerics.Quaternion,System.Numerics.Quaternion)">
<summary>Returns the quaternion that results from multiplying two quaternions together.</summary>
<param name="value1">The first quaternion.</param>
<param name="value2">The second quaternion.</param>
<returns>The product quaternion.</returns>
</member>
<member name="M:System.Numerics.Quaternion.Multiply(System.Numerics.Quaternion,System.Single)">
<summary>Returns the quaternion that results from scaling all the components of a specified quaternion by a scalar factor.</summary>
<param name="value1">The source quaternion.</param>
<param name="value2">The scalar value.</param>
<returns>The scaled quaternion.</returns>
</member>
<member name="M:System.Numerics.Quaternion.Negate(System.Numerics.Quaternion)">
<summary>Reverses the sign of each component of the quaternion.</summary>
<param name="value">The quaternion to negate.</param>
<returns>The negated quaternion.</returns>
</member>
<member name="M:System.Numerics.Quaternion.Normalize(System.Numerics.Quaternion)">
<summary>Divides each component of a specified <see cref="T:System.Numerics.Quaternion"></see> by its length.</summary>
<param name="value">The quaternion to normalize.</param>
<returns>The normalized quaternion.</returns>
</member>
<member name="M:System.Numerics.Quaternion.op_Addition(System.Numerics.Quaternion,System.Numerics.Quaternion)">
<summary>Adds each element in one quaternion with its corresponding element in a second quaternion.</summary>
<param name="value1">The first quaternion.</param>
<param name="value2">The second quaternion.</param>
<returns>The quaternion that contains the summed values of <paramref name="value1">value1</paramref> and <paramref name="value2">value2</paramref>.</returns>
</member>
<member name="M:System.Numerics.Quaternion.op_Division(System.Numerics.Quaternion,System.Numerics.Quaternion)">
<summary>Divides one quaternion by a second quaternion.</summary>
<param name="value1">The dividend.</param>
<param name="value2">The divisor.</param>
<returns>The quaternion that results from dividing <paramref name="value1">value1</paramref> by <paramref name="value2">value2</paramref>.</returns>
</member>
<member name="M:System.Numerics.Quaternion.op_Equality(System.Numerics.Quaternion,System.Numerics.Quaternion)">
<summary>Returns a value that indicates whether two quaternions are equal.</summary>
<param name="value1">The first quaternion to compare.</param>
<param name="value2">The second quaternion to compare.</param>
<returns>true if the two quaternions are equal; otherwise, false.</returns>
</member>
<member name="M:System.Numerics.Quaternion.op_Inequality(System.Numerics.Quaternion,System.Numerics.Quaternion)">
<summary>Returns a value that indicates whether two quaternions are not equal.</summary>
<param name="value1">The first quaternion to compare.</param>
<param name="value2">The second quaternion to compare.</param>
<returns>true if <paramref name="value1">value1</paramref> and <paramref name="value2">value2</paramref> are not equal; otherwise, false.</returns>
</member>
<member name="M:System.Numerics.Quaternion.op_Multiply(System.Numerics.Quaternion,System.Single)">
<summary>Returns the quaternion that results from scaling all the components of a specified quaternion by a scalar factor.</summary>
<param name="value1">The source quaternion.</param>
<param name="value2">The scalar value.</param>
<returns>The scaled quaternion.</returns>
</member>
<member name="M:System.Numerics.Quaternion.op_Multiply(System.Numerics.Quaternion,System.Numerics.Quaternion)">
<summary>Returns the quaternion that results from multiplying two quaternions together.</summary>
<param name="value1">The first quaternion.</param>
<param name="value2">The second quaternion.</param>
<returns>The product quaternion.</returns>
</member>
<member name="M:System.Numerics.Quaternion.op_Subtraction(System.Numerics.Quaternion,System.Numerics.Quaternion)">
<summary>Subtracts each element in a second quaternion from its corresponding element in a first quaternion.</summary>
<param name="value1">The first quaternion.</param>
<param name="value2">The second quaternion.</param>
<returns>The quaternion containing the values that result from subtracting each element in <paramref name="value2">value2</paramref> from its corresponding element in <paramref name="value1">value1</paramref>.</returns>
</member>
<member name="M:System.Numerics.Quaternion.op_UnaryNegation(System.Numerics.Quaternion)">
<summary>Reverses the sign of each component of the quaternion.</summary>
<param name="value">The quaternion to negate.</param>
<returns>The negated quaternion.</returns>
</member>
<member name="M:System.Numerics.Quaternion.Slerp(System.Numerics.Quaternion,System.Numerics.Quaternion,System.Single)">
<summary>Interpolates between two quaternions, using spherical linear interpolation.</summary>
<param name="quaternion1">The first quaternion.</param>
<param name="quaternion2">The second quaternion.</param>
<param name="amount">The relative weight of the second quaternion in the interpolation.</param>
<returns>The interpolated quaternion.</returns>
</member>
<member name="M:System.Numerics.Quaternion.Subtract(System.Numerics.Quaternion,System.Numerics.Quaternion)">
<summary>Subtracts each element in a second quaternion from its corresponding element in a first quaternion.</summary>
<param name="value1">The first quaternion.</param>
<param name="value2">The second quaternion.</param>
<returns>The quaternion containing the values that result from subtracting each element in <paramref name="value2">value2</paramref> from its corresponding element in <paramref name="value1">value1</paramref>.</returns>
</member>
<member name="M:System.Numerics.Quaternion.ToString">
<summary>Returns a string that represents this quaternion.</summary>
<returns>The string representation of this quaternion.</returns>
</member>
<member name="F:System.Numerics.Quaternion.W">
<summary>The rotation component of the quaternion.</summary>
<returns></returns>
</member>
<member name="F:System.Numerics.Quaternion.X">
<summary>The X value of the vector component of the quaternion.</summary>
<returns></returns>
</member>
<member name="F:System.Numerics.Quaternion.Y">
<summary>The Y value of the vector component of the quaternion.</summary>
<returns></returns>
</member>
<member name="F:System.Numerics.Quaternion.Z">
<summary>The Z value of the vector component of the quaternion.</summary>
<returns></returns>
</member>
<member name="T:System.Numerics.Vector`1">
<summary>Represents a single vector of a specified numeric type that is suitable for low-level optimization of parallel algorithms.</summary>
<typeparam name="T">The vector type. T can be any primitive numeric type.</typeparam>
</member>
<member name="M:System.Numerics.Vector`1.#ctor(`0)">
<summary>Creates a vector whose components are of a specified type.</summary>
<param name="value">The numeric type that defines the type of the components in the vector.</param>
</member>
<member name="M:System.Numerics.Vector`1.#ctor(`0[])">
<summary>Creates a vector from a specified array.</summary>
<param name="values">A numeric array.</param>
<exception cref="T:System.ArgumentNullException"><paramref name="values">values</paramref> is null.</exception>
</member>
<member name="M:System.Numerics.Vector`1.#ctor(`0[],System.Int32)">
<summary>Creates a vector from a specified array starting at a specified index position.</summary>
<param name="values">A numeric array.</param>
<param name="index">The starting index position from which to create the vector.</param>
<exception cref="T:System.ArgumentNullException"><paramref name="values">values</paramref> is null.</exception>
<exception cref="T:System.IndexOutOfRangeException"><paramref name="index">index</paramref> is less than zero. -or- The length of <paramref name="values">values</paramref> minus <paramref name="index">index</paramref> is less than <see cref="P:System.Numerics.Vector`1.Count"></see>.</exception>
</member>
<member name="M:System.Numerics.Vector`1.CopyTo(`0[])">
<summary>Copies the vector instance to a specified destination array.</summary>
<param name="destination">The array to receive a copy of the vector values.</param>
<exception cref="T:System.ArgumentNullException"><paramref name="destination">destination</paramref> is null.</exception>
<exception cref="T:System.ArgumentException">The number of elements in the current vector is greater than the number of elements available in the <paramref name="destination">destination</paramref> array.</exception>
</member>
<member name="M:System.Numerics.Vector`1.CopyTo(`0[],System.Int32)">
<summary>Copies the vector instance to a specified destination array starting at a specified index position.</summary>
<param name="destination">The array to receive a copy of the vector values.</param>
<param name="startIndex">The starting index in destination at which to begin the copy operation.</param>
<exception cref="T:System.ArgumentNullException"><paramref name="destination">destination</paramref> is null.</exception>
<exception cref="T:System.ArgumentException">The number of elements in the current instance is greater than the number of elements available from <paramref name="startIndex">startIndex</paramref> to the end of the <paramref name="destination">destination</paramref> array.</exception>
<exception cref="T:System.ArgumentOutOfRangeException"><paramref name="index">index</paramref> is less than zero or greater than the last index in <paramref name="destination">destination</paramref>.</exception>
</member>
<member name="P:System.Numerics.Vector`1.Count">
<summary>Returns the number of elements stored in the vector.</summary>
<returns>The number of elements stored in the vector.</returns>
<exception cref="T:System.NotSupportedException">Access to the property getter via reflection is not supported.</exception>
</member>
<member name="M:System.Numerics.Vector`1.Equals(System.Numerics.Vector{`0})">
<summary>Returns a value that indicates whether this instance is equal to a specified vector.</summary>
<param name="other">The vector to compare with this instance.</param>
<returns>true if the current instance and <paramref name="other">other</paramref> are equal; otherwise, false.</returns>
</member>
<member name="M:System.Numerics.Vector`1.Equals(System.Object)">
<summary>Returns a value that indicates whether this instance is equal to a specified object.</summary>
<param name="obj">The object to compare with this instance.</param>
<returns>true if the current instance and <paramref name="obj">obj</paramref> are equal; otherwise, false. The method returns false if <paramref name="obj">obj</paramref> is null, or if <paramref name="obj">obj</paramref> is a vector of a different type than the current instance.</returns>
</member>
<member name="M:System.Numerics.Vector`1.GetHashCode">
<summary>Returns the hash code for this instance.</summary>