Polynom functions and classes


Classes
struct	phelm::Polynom
	Polynom of variables (x, y). More...
Functions
Polynom	phelm::Polynom::diff (const Polynom &p, int i)
	A derivative of the polynom with respect to x or y.
double	phelm::Polynom::integrate (const Polynom &p, const Triangle &t, const std::vector< MeshPoint > &ps)
	Takes the integral of Polynom over the Triangle t.
double	phelm::Polynom::integrate_cos (const Polynom &p, const Triangle &t, const std::vector< MeshPoint > &ps)
	Takes the integral of Polynom over the Triangle t.
double	phelm::Polynom::integrate_sin (const Polynom &p, const Triangle &t, const std::vector< MeshPoint > &ps)
	Takes the integral of Polynom over the Triangle t.
double	phelm::Polynom::integrate_1_cos (const Polynom &p, const Triangle &t, const std::vector< MeshPoint > &ps)
	Takes the integral of Polynom over the Triangle t.
Polynom	phelm::Polynom::operator* (const Polynom &p1, const Polynom &p2)
	A product of polynom p1 by polynom p2.
Polynom	phelm::Polynom::operator- (const Polynom &p1, const Polynom &p2)
	A difference of two polynoms.
Polynom	phelm::Polynom::operator+ (const Polynom &p1, const Polynom &p2)
	A sum of two polynoms.
Polynom	phelm::Polynom::operator- (const Polynom &p1, double x)
	A difference between a polynom and a number.
Polynom	phelm::Polynom::operator* (const Polynom &p1, double x)
	A product of a polynom p1 by a number x.
Variables
const Polynom	phelm::Polynom::P2X
	The polynom: .
const Polynom	phelm::Polynom::P2Y
	The polynom: .

Function Documentation

Polynom diff	(	const Polynom &	p,
		int	i
	)			`[related, inherited]`

A derivative of the polynom with respect to x or y.

If i equals to 0 then calculate a derivative with respect to x. If i equals to 0 then calculate a derivative with respect to y. Calculates $\frac{\partial P(x,y)}{\partial x}$ or $\frac{\partial P(x,y)}{\partial y}$ .

Parameters:

	p	- the polynom
	i	- 0 or 1 (x or y)

Returns:: $\frac{\partial P(x,y)}{\partial x}$ or $\frac{\partial P(x,y)}{\partial y}$ .

Definition at line 131 of file polynom.cpp.

double integrate	(	const Polynom &	p,
		const Triangle &	t,
		const std::vector< MeshPoint > &	ps
	)			`[related, inherited]`

Takes the integral of Polynom over the Triangle t.

$\int_t p(x,y) dx dy$

Parameters:

	p	- the polynom
	t	- the triangle
	ps	- the mesh points

Examples:: test_system_laplace.cpp.

Definition at line 257 of file polynom.cpp.

double integrate_1_cos	(	const Polynom &	p,
		const Triangle &	t,
		const std::vector< MeshPoint > &	ps
	)			`[related, inherited]`

Takes the integral of Polynom over the Triangle t.

$\int_t \frac{p(x,y)}{cos(x)} dx dy$

Parameters:

	p	- the polynom
	t	- the triangle
	ps	- the mesh points

Definition at line 272 of file polynom.cpp.

double integrate_cos	(	const Polynom &	p,
		const Triangle &	t,
		const std::vector< MeshPoint > &	ps
	)			`[related, inherited]`

Takes the integral of Polynom over the Triangle t.

$\int_t p(x,y) cos(x) dx dy$

Parameters:

	p	- the polynom
	t	- the triangle
	ps	- the mesh points

Definition at line 262 of file polynom.cpp.

double integrate_sin	(	const Polynom &	p,
		const Triangle &	t,
		const std::vector< MeshPoint > &	ps
	)			`[related, inherited]`

Takes the integral of Polynom over the Triangle t.

$\int_t p(x,y) sin(x) dx dy$

Parameters:

	p	- the polynom
	t	- the triangle
	ps	- the mesh points

Definition at line 267 of file polynom.cpp.

Polynom operator*	(	const Polynom &	p1,
		double	x
	)			`[related, inherited]`

A product of a polynom p1 by a number x.

Parameters:

	p1	- the polynom
	x	- the number

Returns:: a product of a polynom and a number.

Definition at line 280 of file polynom.h.

Polynom operator*	(	const Polynom &	p1,
		const Polynom &	p2
	)			`[related, inherited]`

A product of polynom p1 by polynom p2.

Parameters:

	p1	- the polynom
	p2	- the polynom

Returns:: a product of polynoms.

Definition at line 277 of file polynom.cpp.

Polynom operator+	(	const Polynom &	p1,
		const Polynom &	p2
	)			`[related, inherited]`

A sum of two polynoms.

Parameters:

	p1	- the polynom
	p2	- the polynom

Returns:: p1 + p2

Definition at line 319 of file polynom.cpp.

Polynom operator-	(	const Polynom &	p1,
		double	x
	)			`[related, inherited]`

A difference between a polynom and a number.

Parameters:

	p1	- the polynom
	x	- the number

Returns:: p1 - x

Definition at line 265 of file polynom.h.

Polynom operator-	(	const Polynom &	p1,
		const Polynom &	p2
	)			`[related, inherited]`

A difference of two polynoms.

Parameters:

	p1	- the polynom
	p2	- the polynom

Returns:: p1 - p2

Definition at line 304 of file polynom.cpp.

Polynom functions and classes

Classes

Functions

Variables

Function Documentation