Module skeletal_animation::math

Re-exports

• pub use quaternion;
• pub use dual_quaternion;

Modules

• traits
  Various useful traits

Functions

• col_mat2x3_row
  Returns a row vector of a column matrix.
• col_mat3_mul
  Multiplies two matrices.
• col_mat3_mul_col
  Computes column vector in column matrix product.
• col_mat3_row
  Returns a row vector of a column matrix.
• col_mat3_transform
  Transforms a 3D vector through a matrix.
• col_mat3_transform_pos2
  Transforms a 2D position through column matrix.
• col_mat3_transform_vec2
  Transforms a 2D vector through column matrix.
• col_mat3x2_mul
  Multiplies two matrices.
• col_mat3x2_mul_col
  Computes column vector in column matrix product.
• col_mat3x2_row
  Returns a row vector of a column matrix.
• col_mat3x2_transform_pos2
  Transforms a 2D position through matrix.
• col_mat3x2_transform_vec2
  Transforms a 2D vector through matrix.
• col_mat3x4_row
  Returns a row vector of a column matrix.
• col_mat4_mul
  Multiplies two matrices.
• col_mat4_mul_col
  Computes column vector in column matrix product.
• col_mat4_row
  Returns a row vector of a column matrix.
• col_mat4_transform
  Transforms a 4D vector through a matrix.
• col_mat4x3_mul
  Multiplies two matrices.
• col_mat4x3_mul_col
  Computes column vector in column matrix product.
• col_mat4x3_row
  Returns a column vector of a row matrix.
• col_mat4x3_transform_pos3
  Transforms a 3D position through matrix.
• col_mat4x3_transform_vec3
  Transforms a 3D vector through matrix.
• inv_sqrt
• lerp_dual_quaternion
  Dual-quaternion linear blending. See http://dcgi.felk.cvut.cz/home/zara/papers/TCD-CS-2006-46.pdf
• lerp_quaternion
• mat2x3_add
  Adds two matrices.
• mat2x3_cast
  Converts to another matrix type.
• mat2x3_det
  Computes the determinant of a matrix.
• mat2x3_id
  Constructs identity matrix.
• mat2x3_inv
  Computes the inverse of a 2x3 matrix.
• mat2x3_inv_det
  Computes inverse determinant of a 2x3 matrix.
• mat2x3_sub
  Subtracts ‘b’ from ‘a’.
• mat2x3_transposed
  Constructs the transpose of a matrix.
• mat3_add
  Adds two matrices.
• mat3_cast
  Converts to another matrix type.
• mat3_det
  Computes the determinant of a matrix.
• mat3_id
  Constructs identity matrix.
• mat3_inv
  Computes the inverse of a 3x3 matrix.
• mat3_inv_det
  Computes inverse determinant of a 3x3 matrix.
• mat3_sub
  Subtracts ‘b’ from ‘a’.
• mat3_transposed
  Constructs the transpose of a matrix.
• mat3x2_add
  Adds two matrices.
• mat3x2_cast
  Converts to another matrix type.
• mat3x2_det
  Computes the determinant of a matrix.
• mat3x2_id
  Constructs identity matrix.
• mat3x2_inv
  Computes the inverse of a 3x2 matrix.
• mat3x2_inv_det
  Computes inverse determinant of a 3x2 matrix.
• mat3x2_sub
  Subtracts ‘b’ from ‘a’.
• mat3x2_transposed
  Constructs the transpose of a matrix.
• mat3x4_add
  Adds two matrices.
• mat3x4_cast
  Converts to another matrix type.
• mat3x4_det
  Computes the determinant of a matrix.
• mat3x4_id
  Constructs identity matrix.
• mat3x4_inv
  Computes the inverse of a 3x4 matrix.
• mat3x4_inv_det
  Computes inverse determinant of a 3x4 matrix.
• mat3x4_sub
  Subtracts ‘b’ from ‘a’.
• mat3x4_transposed
  Constructs the transpose of a matrix.
• mat4_add
  Adds two matrices.
• mat4_cast
  Converts to another matrix type.
• mat4_det
  Computes the determinant of a 4x4 matrix.
• mat4_id
  Constructs identity matrix.
• mat4_inv
  Computes the inverse of a 4x4 matrix.
• mat4_inv_det
  Computes the inverse determinant of a 4x4 matrix.
• mat4_rotate_z
  rotation matrix for a radians about z
• mat4_sub
  Subtracts ‘b’ from ‘a’.
• mat4_transposed
  Constructs the transpose of a matrix.
• mat4x3_add
  Adds two matrices.
• mat4x3_cast
  Converts to another matrix type.
• mat4x3_det
  Computes the determinant of a matrix.
• mat4x3_id
  Constructs identity matrix.
• mat4x3_inv
  Computes the inverse of a 4x3 matrix.
• mat4x3_inv_det
  Computes inverse determinant of a 4x3 matrix.
• mat4x3_sub
  Subtracts ‘b’ from ‘a’.
• mat4x3_transposed
  Constructs the transpose of a matrix.
• matrix_to_quaternion
• quaternion_conj
  Takes the quaternion conjugate.
• quaternion_id
  Constructs identity quaternion.
• quaternion_mul
  Multiplies two quaternions.
• quaternion_to_matrix
  See http://www.euclideanspace.com/maths/geometry/rotations/conversions/matrixToQuaternion/
• row_mat2x3_col
  Returns a column vector of a row matrix.
• row_mat2x3_mul
  Multiplies two matrices.
• row_mat2x3_mul_row
  Computes row vector in row matrix product.
• row_mat2x3_transform_pos2
  Transforms a 2D position through matrix.
• row_mat2x3_transform_vec2
  Transforms a 2D vector through matrix.
• row_mat3_col
  Returns a column vector of a row matrix.
• row_mat3_mul
  Multiplies two matrices.
• row_mat3_mul_row
  Computes row vector in row matrix product.
• row_mat3_transform
  Transforms a 3D vector through a matrix.
• row_mat3_transform_pos2
  Transforms a 2D position through row matrix.
• row_mat3_transform_vec2
  Transforms a 2D vector through row matrix.
• row_mat3x2_col
  Returns a column vector of a row matrix.
• row_mat3x4_col
  Returns a column vector of a row matrix.
• row_mat3x4_mul
  Multiplies two matrices.
• row_mat3x4_mul_row
  Computes row vector in row matrix product.
• row_mat3x4_transform_pos3
  Transforms a 3D position through matrix.
• row_mat3x4_transform_vec3
  Transforms a 3D vector through matrix.
• row_mat4_col
  Returns a column vector of a row matrix.
• row_mat4_mul
  Multiplies two matrices.
• row_mat4_mul_row
  Computes row vector in row matrix product.
• row_mat4_transform
  Transforms a 4D vector through a matrix.
• row_mat4x3_col
  Returns a column vector of a row matrix.
• solve_ik_2d
• vec2_add
  Adds two vectors.
• vec2_cast
  Converts to another vector type.
• vec2_cross
  Computes the cross product.
• vec2_dot
  Computes the dot product.
• vec2_inv_len
  Computes the inverse length of a vector.
• vec2_len
  Computes the length of vector.
• vec2_mul
  Multiplies two vectors component wise.
• vec2_neg
  Negates the vector.
• vec2_normalized
  Computes the normalized.
• vec2_normalized_sub
  Computes the normalized difference between two vectors.
• vec2_scale
  Multiplies the vector with a scalar.
• vec2_square_len
  Computes the square length of a vector.
• vec2_sub
  Subtracts ‘b’ from ‘a’.
• vec3_add
  Adds two vectors.
• vec3_cast
  Converts to another vector type.
• vec3_cross
  Computes the cross product.
• vec3_dot
  Computes the dot product.
• vec3_dot_pos2
  Computes transformed position component.
• vec3_dot_vec2
  Computes transformed vector component.
• vec3_inv_len
  Computes the inverse length of a vector.
• vec3_len
  Computes the length of vector.
• vec3_mul
  Multiplies two vectors component wise.
• vec3_neg
  Negates the vector.
• vec3_normalized
  Computes the normalized.
• vec3_normalized_sub
  Computes the normalized difference between two vectors.
• vec3_scale
  Multiplies the vector with a scalar.
• vec3_square_len
  Computes the square length of a vector.
• vec3_sub
  Subtracts ‘b’ from ‘a’.
• vec4_add
  Adds two vectors.
• vec4_cast
  Converts to another vector type.
• vec4_dot
  Computes the dot product.
• vec4_dot_pos3
  Computes transformed position component.
• vec4_dot_vec3
  Computes transformed vector component.
• vec4_inv_len
  Computes the inverse length of a vector.
• vec4_len
  Computes the length of vector.
• vec4_mul
  Multiplies two vectors component wise.
• vec4_neg
  Negates the vector.
• vec4_normalized
  Computes the normalized.
• vec4_normalized_sub
  Computes the normalized difference between two vectors.
• vec4_scale
  Multiplies the vector with a scalar.
• vec4_square_len
  Computes the square length of a vector.
• vec4_sub
  Subtracts ‘b’ from ‘a’.

Type Aliases

• DualQuaternion
  A dual-quaternion consists of a real component and a dual component, and can be used to represent both rotation and translation
• Matrix2x3
  A 2x3 matrix.
• Matrix3
  A 3x3 matrix.
• Matrix3x2
  A 3x2 matrix.
• Matrix3x4
  A 3x4 matrix.
• Matrix4
  A 4x4 matrix.
• Matrix4x3
  A 4x3 matrix.
• Quaternion
  Quaternion type alias.
• Vector2
  A 2D vector.
• Vector3
  A 3D vector.
• Vector4
  A 4D vector.