foreng_math_prob

Contains functions used to compute probability distributions

Uses

- foreng_env
- foreng_math_misc

Interfaces

public interface urand

Return a uniform random variable from min (inclusive) to max (inclusive for integer functions, exclusive for real)

public function urand_r32(min, max) result(x)

Return a uniform random variable [min, max)

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=real32),	intent(in)			::	min	$a$ , inclusive
real(kind=real32),	intent(in)			::	max	$b$ , exclusive

Return Value real(kind=real32)

$x \sim \mathcal{U}[a, b)$

public function urand_r64(min, max) result(x)

Return a uniform random variable [min, max)

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=real64),	intent(in)			::	min	$a$ , inclusive
real(kind=real64),	intent(in)			::	max	$b$ , exclusive

Return Value real(kind=real64)

$x \sim \mathcal{U}[a, b)$

public function urand_i32(min, max) result(x)

Return a uniform random variable [min, max]

Arguments

Type	Intent	Optional	Attributes		Name
integer(kind=int32),	intent(in)			::	min	$a$ , inclusive
integer(kind=int32),	intent(in)			::	max	$b$ , inclusive

Return Value integer(kind=int32)

$x \sim \mathcal{U}[a, b]$

public function urand_i64(min, max) result(x)

Return a uniform random variable [min, max]

Arguments

Type	Intent	Optional	Attributes		Name
integer(kind=int64),	intent(in)			::	min	$a$ , inclusive
integer(kind=int64),	intent(in)			::	max	$b$ , inclusive

Return Value integer(kind=int64)

$x \sim \mathcal{U}[a, b]$

public interface fill_urand

Fill a rank 1, 2, or 3 array with a uniform random variable from min (inclusive) to max (inclusive for integer functions, exclusive for real)

public subroutine fill_urand_rank1_r32(A, min, max)

Arguments

Type	Intent	Attributes		Name
real(kind=real32),	intent(inout),	dimension(:)	::	A
real(kind=real32),	intent(in)		::	min
real(kind=real32),	intent(in)		::	max

public subroutine fill_urand_rank1_r64(A, min, max)

Arguments

Type	Intent	Attributes		Name
real(kind=real64),	intent(inout),	dimension(:)	::	A
real(kind=real64),	intent(in)		::	min
real(kind=real64),	intent(in)		::	max

public subroutine fill_urand_rank1_i32(A, min, max)

Arguments

Type	Intent	Attributes		Name
integer(kind=int32),	intent(inout),	dimension(:)	::	A
integer(kind=int32),	intent(in)		::	min
integer(kind=int32),	intent(in)		::	max

public subroutine fill_urand_rank1_i64(A, min, max)

Arguments

Type	Intent	Attributes		Name
integer(kind=int64),	intent(inout),	dimension(:)	::	A
integer(kind=int64),	intent(in)		::	min
integer(kind=int64),	intent(in)		::	max

public subroutine fill_urand_rank2_r32(A, min, max)

Arguments

Type	Intent	Attributes		Name
real(kind=real32),	intent(inout),	dimension(:,:)	::	A
real(kind=real32),	intent(in)		::	min
real(kind=real32),	intent(in)		::	max

public subroutine fill_urand_rank2_r64(A, min, max)

Arguments

Type	Intent	Attributes		Name
real(kind=real64),	intent(inout),	dimension(:,:)	::	A
real(kind=real64),	intent(in)		::	min
real(kind=real64),	intent(in)		::	max

public subroutine fill_urand_rank2_i32(A, min, max)

Arguments

Type	Intent	Attributes		Name
integer(kind=int32),	intent(inout),	dimension(:,:)	::	A
integer(kind=int32),	intent(in)		::	min
integer(kind=int32),	intent(in)		::	max

public subroutine fill_urand_rank2_i64(A, min, max)

Arguments

Type	Intent	Attributes		Name
integer(kind=int64),	intent(inout),	dimension(:,:)	::	A
integer(kind=int64),	intent(in)		::	min
integer(kind=int64),	intent(in)		::	max

public subroutine fill_urand_rank3_r32(A, min, max)

Arguments

Type	Intent	Attributes		Name
real(kind=real32),	intent(inout),	dimension(:,:,:)	::	A
real(kind=real32),	intent(in)		::	min
real(kind=real32),	intent(in)		::	max

public subroutine fill_urand_rank3_r64(A, min, max)

Arguments

Type	Intent	Attributes		Name
real(kind=real64),	intent(inout),	dimension(:,:,:)	::	A
real(kind=real64),	intent(in)		::	min
real(kind=real64),	intent(in)		::	max

public subroutine fill_urand_rank3_i32(A, min, max)

Arguments

Type	Intent	Attributes		Name
integer(kind=int32),	intent(inout),	dimension(:,:,:)	::	A
integer(kind=int32),	intent(in)		::	min
integer(kind=int32),	intent(in)		::	max

public subroutine fill_urand_rank3_i64(A, min, max)

Arguments

Type	Intent	Attributes		Name
integer(kind=int64),	intent(inout),	dimension(:,:,:)	::	A
integer(kind=int64),	intent(in)		::	min
integer(kind=int64),	intent(in)		::	max

Functions

public function urand_r32(min, max) result(x)

Return a uniform random variable [min, max)

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=real32),	intent(in)			::	min	$a$ , inclusive
real(kind=real32),	intent(in)			::	max	$b$ , exclusive

Return Value real(kind=real32)

$x \sim \mathcal{U}[a, b)$

public function urand_r64(min, max) result(x)

Return a uniform random variable [min, max)

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=real64),	intent(in)			::	min	$a$ , inclusive
real(kind=real64),	intent(in)			::	max	$b$ , exclusive

Return Value real(kind=real64)

$x \sim \mathcal{U}[a, b)$

public function urand_i32(min, max) result(x)

Return a uniform random variable [min, max]

Arguments

Type	Intent	Optional	Attributes		Name
integer(kind=int32),	intent(in)			::	min	$a$ , inclusive
integer(kind=int32),	intent(in)			::	max	$b$ , inclusive

Return Value integer(kind=int32)

$x \sim \mathcal{U}[a, b]$

public function urand_i64(min, max) result(x)

Return a uniform random variable [min, max]

Arguments

Type	Intent	Optional	Attributes		Name
integer(kind=int64),	intent(in)			::	min	$a$ , inclusive
integer(kind=int64),	intent(in)			::	max	$b$ , inclusive

Return Value integer(kind=int64)

$x \sim \mathcal{U}[a, b]$

public function poisson(k, t, lamda) result(P)

Arguments

Type	Intent		Name
integer,	intent(in)	::	k
real,	intent(in)	::	t
real,	intent(in)	::	lamda

Return Value real

public function standard_normal_rand() result(x)

Arguments

None

Return Value real(kind=real64)

Subroutines

public subroutine fill_urand_rank1_r32(A, min, max)

Arguments

Type	Intent	Attributes		Name
real(kind=real32),	intent(inout),	dimension(:)	::	A
real(kind=real32),	intent(in)		::	min
real(kind=real32),	intent(in)		::	max

public subroutine fill_urand_rank1_r64(A, min, max)

Arguments

Type	Intent	Attributes		Name
real(kind=real64),	intent(inout),	dimension(:)	::	A
real(kind=real64),	intent(in)		::	min
real(kind=real64),	intent(in)		::	max

public subroutine fill_urand_rank1_i32(A, min, max)

Arguments

Type	Intent	Attributes		Name
integer(kind=int32),	intent(inout),	dimension(:)	::	A
integer(kind=int32),	intent(in)		::	min
integer(kind=int32),	intent(in)		::	max

public subroutine fill_urand_rank1_i64(A, min, max)

Arguments

Type	Intent	Attributes		Name
integer(kind=int64),	intent(inout),	dimension(:)	::	A
integer(kind=int64),	intent(in)		::	min
integer(kind=int64),	intent(in)		::	max

public subroutine fill_urand_rank2_r32(A, min, max)

Arguments

Type	Intent	Attributes		Name
real(kind=real32),	intent(inout),	dimension(:,:)	::	A
real(kind=real32),	intent(in)		::	min
real(kind=real32),	intent(in)		::	max

public subroutine fill_urand_rank2_r64(A, min, max)

Arguments

Type	Intent	Attributes		Name
real(kind=real64),	intent(inout),	dimension(:,:)	::	A
real(kind=real64),	intent(in)		::	min
real(kind=real64),	intent(in)		::	max

public subroutine fill_urand_rank2_i32(A, min, max)

Arguments

Type	Intent	Attributes		Name
integer(kind=int32),	intent(inout),	dimension(:,:)	::	A
integer(kind=int32),	intent(in)		::	min
integer(kind=int32),	intent(in)		::	max

public subroutine fill_urand_rank2_i64(A, min, max)

Arguments

Type	Intent	Attributes		Name
integer(kind=int64),	intent(inout),	dimension(:,:)	::	A
integer(kind=int64),	intent(in)		::	min
integer(kind=int64),	intent(in)		::	max

public subroutine fill_urand_rank3_r32(A, min, max)

Arguments

Type	Intent	Attributes		Name
real(kind=real32),	intent(inout),	dimension(:,:,:)	::	A
real(kind=real32),	intent(in)		::	min
real(kind=real32),	intent(in)		::	max

public subroutine fill_urand_rank3_r64(A, min, max)

Arguments

Type	Intent	Attributes		Name
real(kind=real64),	intent(inout),	dimension(:,:,:)	::	A
real(kind=real64),	intent(in)		::	min
real(kind=real64),	intent(in)		::	max

public subroutine fill_urand_rank3_i32(A, min, max)

Arguments

Type	Intent	Attributes		Name
integer(kind=int32),	intent(inout),	dimension(:,:,:)	::	A
integer(kind=int32),	intent(in)		::	min
integer(kind=int32),	intent(in)		::	max

public subroutine fill_urand_rank3_i64(A, min, max)

Arguments

Type	Intent	Attributes		Name
integer(kind=int64),	intent(inout),	dimension(:,:,:)	::	A
integer(kind=int64),	intent(in)		::	min
integer(kind=int64),	intent(in)		::	max

foreng_math_prob Module

Contents

Interfaces

Functions

Subroutines

Uses

Contents

Interfaces

Functions

Subroutines

Interfaces

public interface urand

public function urand_r32(min, max) result(x)

Arguments

Return Value real(kind=real32)

public function urand_r64(min, max) result(x)

Arguments

Return Value real(kind=real64)

public function urand_i32(min, max) result(x)

Arguments

Return Value integer(kind=int32)

public function urand_i64(min, max) result(x)

Arguments

Return Value integer(kind=int64)

public interface fill_urand

public subroutine fill_urand_rank1_r32(A, min, max)

Arguments

public subroutine fill_urand_rank1_r64(A, min, max)

Arguments

public subroutine fill_urand_rank1_i32(A, min, max)

Arguments

public subroutine fill_urand_rank1_i64(A, min, max)

Arguments

public subroutine fill_urand_rank2_r32(A, min, max)

Arguments

public subroutine fill_urand_rank2_r64(A, min, max)

Arguments

public subroutine fill_urand_rank2_i32(A, min, max)

Arguments

public subroutine fill_urand_rank2_i64(A, min, max)

Arguments

public subroutine fill_urand_rank3_r32(A, min, max)

Arguments

public subroutine fill_urand_rank3_r64(A, min, max)

Arguments

public subroutine fill_urand_rank3_i32(A, min, max)

Arguments

public subroutine fill_urand_rank3_i64(A, min, max)

Arguments

Functions

public function urand_r32(min, max) result(x)

Arguments

Return Value real(kind=real32)

public function urand_r64(min, max) result(x)

Arguments

Return Value real(kind=real64)

public function urand_i32(min, max) result(x)

Arguments

Return Value integer(kind=int32)

public function urand_i64(min, max) result(x)

Arguments

Return Value integer(kind=int64)

public function poisson(k, t, lamda) result(P)

Arguments

Return Value real

public function standard_normal_rand() result(x)

Arguments

Return Value real(kind=real64)

Subroutines

public subroutine fill_urand_rank1_r32(A, min, max)

Arguments

public subroutine fill_urand_rank1_r64(A, min, max)

Arguments

public subroutine fill_urand_rank1_i32(A, min, max)

Arguments

public subroutine fill_urand_rank1_i64(A, min, max)

Arguments

public subroutine fill_urand_rank2_r32(A, min, max)

Arguments

public subroutine fill_urand_rank2_r64(A, min, max)