Algebra

FMAT0

Static 2x2 zero matrix.

FMAT1

Static 2x2 identity matrix.

MAT0

Static 3x3 zero matrix.

MAT1

Static 3x3 identity matrix.

VEC0

Static zero vector. Equivalent to zero(RealVector).

VECX

Static cartesian basis vector in the X direction. Equivalent to RealVector(1.,0.,0.)

VECY

Static cartesian basis vector in the Y direction. Equivalent to RealVector(0.,1.,0.).

VECZ

Static cartesian basis vector in the Z direction. Equivalent to RealVector(0.,0.,1.).

FlatMatrix

Static matrix for faster 2d simulations

RealMatrix

Static Float64 matrix with 3x3 elements.

RealVector(x1::Float64, x2::Float64, x3::Float64)

Static Float64 vector with 3 elements.

cof(A::FlatMatrix)::FlatMatrix

Cofactor of 2x2 matrix.

cof(A::RealMatrix)::RealMatrix

Cofactor matrix of 3x3 matrix.

det(A::FlatMatrix)::Float64

Determinant of 2x2 matrix.

det(A::RealMatrix)::Float64

Determinant of 3x3 matrix.

dev(A::FlatMatrix)::FlatMatrix

Deviatoric part of matrix 2x2. That is, dev(A) = A - Tr(A)*I/2.

dev(A::RealMatrix)::RealMatrix

Deviatoric part of 3x3 matrix. That is, dev(A) = A - Tr(A)*I/3.

dot(A::FlatMatrix, B::FlatMatrix)::Float64

Computes the double dot product of two 2x2 matrices.

dot(A::RealMatrix, B::RealMatrix)::Float64

Computes the double dot product of two 3x3 matrices.

dot(x::RealVector, y::RealVector)::Float64

Computes the dot product of two vectors.

inv(A::FlatMatrix)::FlatMatrix

Inverse of 2x2 matrix.

inv(A::RealMatrix)::::RealMatrix

Inverse matrix of 3x3 matrix.

norm(x::FlatMatrix)::Float64

Computes the norm of a matrix.

norm(x::RealMatrix)::Float64

Computes the norm of a matrix.

norm(x::RealVector)::Float64

Computes the norm of a vector.

trace(A::FlatMatrix)::Float64

Trace of 2x2 matrix.

trace(A::RealMatrix)::Float64

Trace of 3x3 matrix.

trans(A::FlatMatrix)::FlatMatrix

Transpose of 2x2 matrix.

trans(A::RealMatrix)::RealMatrix

Transpose of 3x3 matrix.