local_min_max_funct_1dT_local_min_max_funct_1dLocalMinMaxFunct1dLocalMinMaxFunct1dlocal_min_max_funct_1d (Operator)
Name
local_min_max_funct_1dT_local_min_max_funct_1dLocalMinMaxFunct1dLocalMinMaxFunct1dlocal_min_max_funct_1d
— Calculate the local minimum and maximum points of a function.
Signature
void LocalMinMaxFunct1d(const HTuple& Function, const HTuple& Mode, const HTuple& Interpolation, HTuple* Min, HTuple* Max)
void HFunction1D::LocalMinMaxFunct1d(const HString& Mode, const HString& Interpolation, HTuple* Min, HTuple* Max) const
void HFunction1D::LocalMinMaxFunct1d(const char* Mode, const char* Interpolation, HTuple* Min, HTuple* Max) const
void HFunction1D::LocalMinMaxFunct1d(const wchar_t* Mode, const wchar_t* Interpolation, HTuple* Min, HTuple* Max) const
(
Windows only)
def local_min_max_funct_1d(function: Sequence[Union[float, int]], mode: str, interpolation: str) -> Tuple[Sequence[float], Sequence[float]]
Description
local_min_max_funct_1dlocal_min_max_funct_1dLocalMinMaxFunct1dLocalMinMaxFunct1dLocalMinMaxFunct1dlocal_min_max_funct_1d
searches for the local minima
MinMinMinMinminmin
and maxima MaxMaxMaxMaxmaxmax
of the function
FunctionFunctionFunctionFunctionfunctionfunction
.
Since the function values are only known at discrete sampling
points, the function can interpolated by parabolas between these
points. Setting the parameter InterpolationInterpolationInterpolationInterpolationinterpolationinterpolation
to
'true'"true""true""true""true""true", enables this feature. If InterpolationInterpolationInterpolationInterpolationinterpolationinterpolation
is
'false'"false""false""false""false""false", extrema are always sampling points.
If ModeModeModeModemodemode
is set to 'strict_min_max'"strict_min_max""strict_min_max""strict_min_max""strict_min_max""strict_min_max", extrema are
only calculated close to points with a function value that is
strictly smaller or strictly greater than the values of its direct
neighbors.
If ModeModeModeModemodemode
is set to 'plateaus_center'"plateaus_center""plateaus_center""plateaus_center""plateaus_center""plateaus_center", areas with a
function value that is constant throughout several sampling points
are also considered. If such an area is identified as being a flat
extremum, its center coordinate is returned.
Execution Information
- Multithreading type: reentrant (runs in parallel with non-exclusive operators).
- Multithreading scope: global (may be called from any thread).
- Processed without parallelization.
Parameters
FunctionFunctionFunctionFunctionfunctionfunction
(input_control) function_1d →
HFunction1D, HTupleSequence[Union[float, int]]HTupleHtuple (real / integer) (double / int / long) (double / Hlong) (double / Hlong)
Input function
ModeModeModeModemodemode
(input_control) string →
HTuplestrHTupleHtuple (string) (string) (HString) (char*)
Handling of plateaus
Default:
'strict_min_max'
"strict_min_max"
"strict_min_max"
"strict_min_max"
"strict_min_max"
"strict_min_max"
List of values:
'plateaus_center'"plateaus_center""plateaus_center""plateaus_center""plateaus_center""plateaus_center", 'strict_min_max'"strict_min_max""strict_min_max""strict_min_max""strict_min_max""strict_min_max"
InterpolationInterpolationInterpolationInterpolationinterpolationinterpolation
(input_control) string →
HTuplestrHTupleHtuple (string) (string) (HString) (char*)
Interpolation of the input function
Default:
'true'
"true"
"true"
"true"
"true"
"true"
List of values:
'false'"false""false""false""false""false", 'true'"true""true""true""true""true"
MinMinMinMinminmin
(output_control) real-array →
HTupleSequence[float]HTupleHtuple (real) (double) (double) (double)
Minimum points of the input function
MaxMaxMaxMaxmaxmax
(output_control) real-array →
HTupleSequence[float]HTupleHtuple (real) (double) (double) (double)
Maximum points of the input function
Possible Predecessors
create_funct_1d_pairscreate_funct_1d_pairsCreateFunct1dPairsCreateFunct1dPairsCreateFunct1dPairscreate_funct_1d_pairs
,
create_funct_1d_arraycreate_funct_1d_arrayCreateFunct1dArrayCreateFunct1dArrayCreateFunct1dArraycreate_funct_1d_array
,
smooth_funct_1d_gausssmooth_funct_1d_gaussSmoothFunct1dGaussSmoothFunct1dGaussSmoothFunct1dGausssmooth_funct_1d_gauss
,
smooth_funct_1d_meansmooth_funct_1d_meanSmoothFunct1dMeanSmoothFunct1dMeanSmoothFunct1dMeansmooth_funct_1d_mean
Module
Foundation