concept base_quantity_exponent

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Description

a base_quantity raised to a non-zero rational power

Notation

type	model of	notes
E	base_quantity_exponent
E1, E2	base_quantity_exponent
Eres	base_quantity exponent	local result
B	base_quantity
R	rational
D	dimension

value	type	notes
e1	E1
e2	E2
eres	Eres
n	int
d	int

Requires

static_constant	value	notes
is_base_quantity_exponent<E>	true

type_expression	result	notes
get_base_quantity<E>	B	B is the base_quantity for E
get_exponent<E>	R	R is the exponent of E. R is never equal to ratio<0>{}

Provides

concept	notes
dimension<E>	a model of base_quantity_exponent is implicitly a model of dimension

static_constant	value	notes
of_same_base_quantity< E1, E2 >	true if E1,E2 are exponents of same base quantity

expression	requires	result	notes
e1 * e2	of_same_base_quantity<E1,E2>	let ra = get_exponent<E1>{}; let rb = get_exponent<E2>{}; ((ra + rb) == ratio<0>{}) ? dimensionless : eres	adds the exponents of e1 and e2
e1 * e2	not of_same_base_quantity<E1,E2>	sort(dimension_list<E1,E2>{})	sort using total ordering of base_quantities
e1 / e2	of_same_base_quantity<E1,E2>	let ra = get_exponent<E1>{}; let rb = get_exponent<E2>{}; ((ra - rb) == ratio<0>{}) ? dimensionless : eres	subtracts the exponents of e1 and e2
e1 / e2	not of_same_base_quantity<E1,E2>	let e2_inv = dimensionless{}/e2; sort(dimension_list<E1,decltype(e2_inv)>{})	sort using total ordering of base_quantities
pow<n,d>(e)		let r = get_exponent<E>{}; ((r * ratio<n,d>{}) == ratio<0>{}) ? dimensionless : eres	multiplies the exponent of e by ratio<n,d>{}