RootFinder Module

Used By

Functions

CheckInternalConsistency CheckRootFinderCandidate CheckMinMaxRange CheckLowerUpperBracket CheckSlope CheckNonSingularity CheckMinConstraint CheckMaxConstraint CheckRootFinderConvergence CheckIncrementRoundOff CheckBracketRoundOff BracketRoot BisectionMethod FalsePositionMethod SecantMethod SecantFormula BrentMethod

Subroutines

SetupRootFinder ResetRootFinder InitializeRootFinder IterateRootFinder UpdateMinMax UpdateBracket UpdateHistory UpdateRootFinder SortHistory AdvanceRootFinder WriteRootFinderTraceHeader WriteRootFinderTrace WritePoint DebugRootFinder WriteRootFinderStatus

Functions

private function CheckInternalConsistency(RootFinderData)

Arguments

Type	Intent	Optional	Attributes		Name
type(RootFinderDataType),	intent(in)			::	RootFinderData

Return Value integer

public function CheckRootFinderCandidate(RootFinderData, X)

Arguments

Type	Intent	Optional	Attributes		Name
type(RootFinderDataType),	intent(in)			::	RootFinderData
real(kind=r64),	intent(in)			::	X

Return Value logical

private function CheckMinMaxRange(RootFinderData, X)

Arguments

Type	Intent	Optional	Attributes		Name
type(RootFinderDataType),	intent(in)			::	RootFinderData
real(kind=r64),	intent(in)			::	X

Return Value logical

private function CheckLowerUpperBracket(RootFinderData, X)

Arguments

Type	Intent	Optional	Attributes		Name
type(RootFinderDataType),	intent(in)			::	RootFinderData
real(kind=r64),	intent(in)			::	X

Return Value logical

private function CheckSlope(RootFinderData)

Arguments

Type	Intent	Optional	Attributes		Name
type(RootFinderDataType),	intent(in)			::	RootFinderData

Return Value logical

private function CheckNonSingularity(RootFinderData)

Arguments

Type	Intent	Optional	Attributes		Name
type(RootFinderDataType),	intent(in)			::	RootFinderData

Return Value logical

private function CheckMinConstraint(RootFinderData)

Arguments

Type	Intent	Optional	Attributes		Name
type(RootFinderDataType),	intent(in)			::	RootFinderData

Return Value logical

private function CheckMaxConstraint(RootFinderData)

Arguments

Type	Intent	Optional	Attributes		Name
type(RootFinderDataType),	intent(in)			::	RootFinderData

Return Value logical

public function CheckRootFinderConvergence(RootFinderData, Y)

Arguments

Type	Intent	Optional	Attributes		Name
type(RootFinderDataType),	intent(in)			::	RootFinderData
real(kind=r64),	intent(in)			::	Y

Return Value logical

private function CheckIncrementRoundOff(RootFinderData, X)

Arguments

Type	Intent	Optional	Attributes		Name
type(RootFinderDataType),	intent(in)			::	RootFinderData
real(kind=r64),	intent(in)			::	X

Return Value logical

private function CheckBracketRoundOff(RootFinderData)

Arguments

Type	Intent	Optional	Attributes		Name
type(RootFinderDataType),	intent(in)			::	RootFinderData

Return Value logical

private function BracketRoot(RootFinderData, XNext)

Arguments

Type	Intent	Optional	Attributes		Name
type(RootFinderDataType),	intent(in)			::	RootFinderData
real(kind=r64),	intent(out)			::	XNext

Return Value logical

private function BisectionMethod(RootFinderData)

Arguments

Type	Intent	Optional	Attributes		Name
type(RootFinderDataType),	intent(inout)			::	RootFinderData

Return Value real(kind=r64)

private function FalsePositionMethod(RootFinderData)

Arguments

Type	Intent	Optional	Attributes		Name
type(RootFinderDataType),	intent(inout)			::	RootFinderData

Return Value real(kind=r64)

private function SecantMethod(RootFinderData)

Arguments

Type	Intent	Optional	Attributes		Name
type(RootFinderDataType),	intent(inout)			::	RootFinderData

Return Value real(kind=r64)

private function SecantFormula(RootFinderData, XNext)

Arguments

Type	Intent	Optional	Attributes		Name
type(RootFinderDataType),	intent(in)			::	RootFinderData
real(kind=r64),	intent(out)			::	XNext

Return Value logical

private function BrentMethod(RootFinderData)

Arguments

Type	Intent	Optional	Attributes		Name
type(RootFinderDataType),	intent(inout)			::	RootFinderData

Return Value real(kind=r64)

Subroutines

public subroutine SetupRootFinder(RootFinderData, SlopeType, MethodType, TolX, ATolX, ATolY)

Arguments

Type	Intent	Optional	Attributes		Name
type(RootFinderDataType),	intent(inout)			::	RootFinderData
integer,	intent(in)			::	SlopeType
integer,	intent(in)			::	MethodType
real(kind=r64),	intent(in)			::	TolX
real(kind=r64),	intent(in)			::	ATolX
real(kind=r64),	intent(in)			::	ATolY

private subroutine ResetRootFinder(RootFinderData, XMin, XMax)

Arguments

Type	Intent	Optional	Attributes		Name
type(RootFinderDataType),	intent(inout)			::	RootFinderData
real(kind=r64),	intent(in)			::	XMin
real(kind=r64),	intent(in)			::	XMax

public subroutine InitializeRootFinder(RootFinderData, XMin, XMax)

Arguments

Type	Intent	Optional	Attributes		Name
type(RootFinderDataType),	intent(inout)			::	RootFinderData
real(kind=r64),	intent(in)			::	XMin
real(kind=r64),	intent(in)			::	XMax

public subroutine IterateRootFinder(RootFinderData, X, Y, IsDoneFlag)

Arguments

Type	Intent	Optional	Attributes		Name
type(RootFinderDataType),	intent(inout)			::	RootFinderData
real(kind=r64),	intent(in)			::	X
real(kind=r64),	intent(in)			::	Y
logical,	intent(out),	optional		::	IsDoneFlag

private subroutine UpdateMinMax(RootFinderData, X, Y)

Arguments

Type	Intent	Optional	Attributes		Name
type(RootFinderDataType),	intent(inout)			::	RootFinderData
real(kind=r64),	intent(in)			::	X
real(kind=r64),	intent(in)			::	Y

private subroutine UpdateBracket(RootFinderData, X, Y)

Arguments

Type	Intent	Optional	Attributes		Name
type(RootFinderDataType),	intent(inout)			::	RootFinderData
real(kind=r64),	intent(in)			::	X
real(kind=r64),	intent(in)			::	Y

private subroutine UpdateHistory(RootFinderData, X, Y)

Arguments

Type	Intent	Optional	Attributes		Name
type(RootFinderDataType),	intent(inout)			::	RootFinderData
real(kind=r64),	intent(in)			::	X
real(kind=r64),	intent(in)			::	Y

private subroutine UpdateRootFinder(RootFinderData, X, Y)

Arguments

Type	Intent	Optional	Attributes		Name
type(RootFinderDataType),	intent(inout)			::	RootFinderData
real(kind=r64),	intent(in)			::	X
real(kind=r64),	intent(in)			::	Y

private subroutine SortHistory(N, History)

Arguments

Type	Intent	Optional	Attributes		Name
integer,	intent(in)			::	N
type(PointType),	intent(inout)			::	History(:)

private subroutine AdvanceRootFinder(RootFinderData)

Arguments

Type	Intent	Optional	Attributes		Name
type(RootFinderDataType),	intent(inout)			::	RootFinderData

public subroutine WriteRootFinderTraceHeader(TraceFileUnit)

Arguments

Type	Intent	Optional	Attributes		Name
integer,	intent(in)			::	TraceFileUnit

public subroutine WriteRootFinderTrace(TraceFileUnit, RootFinderData)

Arguments

Type	Intent	Optional	Attributes		Name
integer,	intent(in)			::	TraceFileUnit
type(RootFinderDataType),	intent(in)			::	RootFinderData

private subroutine WritePoint(TraceFileUnit, PointData, ShowXValue)

Arguments

Type	Intent	Optional	Attributes		Name
integer,	intent(in)			::	TraceFileUnit
type(PointType),	intent(in)			::	PointData
logical,	intent(in)			::	ShowXValue

public subroutine DebugRootFinder(FileUnit, RootFinderData)

Arguments

Type	Intent	Optional	Attributes		Name
integer,	intent(in)			::	FileUnit
type(RootFinderDataType),	intent(in)			::	RootFinderData

public subroutine WriteRootFinderStatus(FileUnit, RootFinderData)

Arguments

Type	Intent	Optional	Attributes		Name
integer,	intent(in)			::	FileUnit
type(RootFinderDataType),	intent(in)			::	RootFinderData

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