foreng_numeric_regression Module

Uses

- foreng_env
- foreng_math

Contents

Functions

calc_m_lls calc_b_lls calc_correlation_coefficient_lls

Subroutines

lls_fit lls_coefficient_fit generate_sys_eqns

Functions

public function calc_m_lls(X, Y) result(m)

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=real32),	intent(in),		dimension(:)	::	X
real(kind=real32),	intent(in),		dimension(:)	::	Y

Return Value real(kind=real32)

public function calc_b_lls(y_bar, x_bar, m) result(b)

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=real32),	intent(in)			::	y_bar
real(kind=real32),	intent(in)			::	x_bar
real(kind=real32),	intent(in)			::	m

Return Value real(kind=real32)

public function calc_correlation_coefficient_lls(X, Y) result(r)

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=real32),	intent(in),		dimension(:)	::	X
real(kind=real32),	intent(in),		dimension(:)	::	Y

Return Value real

Subroutines

public subroutine lls_fit(X, Y, m, b, stat)

Linear Least Squares Fit

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=real32),	intent(in),		dimension(:)	::	X
real(kind=real32),	intent(in),		dimension(:)	::	Y
real(kind=real32),	intent(out)			::	m
real(kind=real32),	intent(out)			::	b
integer,		optional		::	stat

public subroutine lls_coefficient_fit(X, Y, m, b, r, stat)

Linear Least Squares Fit with correlation coefficient

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=real32),	intent(in),		dimension(:)	::	X
real(kind=real32),	intent(in),		dimension(:)	::	Y
real(kind=real32),	intent(out)			::	m
real(kind=real32),	intent(out)			::	b
real(kind=real32),	intent(out)			::	r
integer,		optional		::	stat

public subroutine generate_sys_eqns(X, Y, order, A, u)

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=real64),	intent(in),		dimension(:)	::	X
real(kind=real64),	intent(in),		dimension(:)	::	Y
integer,	intent(in)			::	order
real(kind=real64),	intent(out),		dimension(:,:), allocatable	::	A
real(kind=real64),	intent(out),		dimension(:), allocatable	::	u