Method Solve

CommonB2Math.go:299–315

Solve A * x = b, where b is a column vector. This is more efficient than computing the inverse in one-shot cases.

(b B2Vec2)

/// Solve A * x = b, where b is a column vector. This is more efficient
/// than computing the inverse in one-shot cases.
func (m B2Mat22) Solve(b B2Vec2) B2Vec2 {

	a11 := m.Ex.X
	a12 := m.Ey.X
	a21 := m.Ex.Y
	a22 := m.Ey.Y
	det := a11*a22 - a12*a21

	if det != 0.0 {
		det = 1.0 / det
	}

	return MakeB2Vec2(
		det*(a22*b.X-a12*b.Y),
		det*(a11*b.Y-a21*b.X),
	)
}

///////////////////////////////////////////////////////////////////////////////
/// A 3-by-3 matrix. Stored in column-major order.