quaternions.f90 File Reference

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Data Types
interface	quaternions::quaternion
interface	quaternions::assignment(=)
interface	quaternions::quaternion
interface	quaternions::abs
interface	quaternions::dot_product
interface	quaternions::conjg
interface	quaternions::exp
interface	quaternions::log
interface	quaternions::real
interface	quaternions::aimag

Modules
module	quaternions
	general quaternion math, not limited to unit quaternions

Functions/Subroutines
subroutine, public	quaternions::quaternions_init
	do self test More...
type(quaternion) pure function	quaternions::init__ (array)
	construct a quaternion from a 4-vector More...
elemental pure subroutine	quaternions::assign_quat__ (self, other)
	assign a quaternion More...
pure subroutine	quaternions::assign_vec__ (self, other)
	assign a 4-vector More...
type(quaternion) elemental pure function	quaternions::add__ (self, other)
	add a quaternion More...
type(quaternion) elemental pure function	quaternions::pos__ (self)
	return (unary positive operator) More...
type(quaternion) elemental pure function	quaternions::sub__ (self, other)
	subtract a quaternion More...
type(quaternion) elemental pure function	quaternions::neg__ (self)
	negate (unary negative operator) More...
type(quaternion) elemental pure function	quaternions::mul_quat__ (self, other)
	multiply with a quaternion More...
type(quaternion) elemental pure function	quaternions::mul_scal__ (self, scal)
	multiply with a scalar More...
type(quaternion) elemental pure function	quaternions::div_quat__ (self, other)
	divide by a quaternion More...
type(quaternion) elemental pure function	quaternions::div_scal__ (self, scal)
	divide by a scalar More...
logical elemental pure function	quaternions::eq__ (self, other)
	test equality More...
logical elemental pure function	quaternions::neq__ (self, other)
	test inequality More...
type(quaternion) elemental pure function	quaternions::pow_quat__ (self, expon)
	raise to the power of a quaternion More...
type(quaternion) elemental pure function	quaternions::pow_scal__ (self, expon)
	raise to the power of a scalar More...
type(quaternion) elemental pure function	quaternions::exp__ (a)
	take exponential More...
type(quaternion) elemental pure function	quaternions::log__ (a)
	take logarithm More...
real(preal) elemental pure function	quaternions::abs__ (self)
	return norm More...
real(preal) elemental pure function	quaternions::dot_product__ (a, b)
	calculate dot product More...
type(quaternion) elemental pure function	quaternions::conjg__ (self)
	take conjugate complex More...
type(quaternion) elemental pure function	quaternions::homomorphed (self)
	homomorph More...
pure real(preal) function, dimension(4)	quaternions::asarray (self)
	return as plain array More...
pure real(preal) function	quaternions::real__ (self)
	real part (scalar) More...
pure real(preal) function, dimension(3)	quaternions::aimag__ (self)
	imaginary part (3-vector) More...
type(quaternion) elemental pure function	quaternions::inverse (self)
	inverse More...
subroutine	quaternions::unittest
	check correctness of some quaternions functions More...

Variables
real(preal), parameter, public	quaternions::p = -1.0_pReal
	parameter for orientation conversion. More...