create_funct_1d_arrayT_create_funct_1d_arrayCreateFunct1dArrayCreateFunct1dArraycreate_funct_1d_array (Operator)

Name

create_funct_1d_arrayT_create_funct_1d_arrayCreateFunct1dArrayCreateFunct1dArraycreate_funct_1d_array — Create a function from a sequence of y values.

Signature

Description

create_funct_1d_arraycreate_funct_1d_arrayCreateFunct1dArrayCreateFunct1dArraycreate_funct_1d_array creates a one-dimensional function from a set of y values YValuesYValuesYValuesYValuesyvalues. The resulting function can then be processed and analyzed with the operators for 1d functions. YValuesYValuesYValuesYValuesyvalues is interpreted as follows: the first value of YValuesYValuesYValuesYValuesyvalues is the function value at zero, the second value is the function value at one, etc. Thus, the values define a function at equidistant x values (with distance ), starting at .

The created function is composed like this:

where

denotes the function type as an equidistant function,

is the equidistance of the x values,

is the starting x value (is always 0), and

are the y values passed in YValuesYValuesYValuesYValuesyvalues with .

Alternatively, the operator create_funct_1d_pairscreate_funct_1d_pairsCreateFunct1dPairsCreateFunct1dPairscreate_funct_1d_pairs can be used to create a function. create_funct_1d_pairscreate_funct_1d_pairsCreateFunct1dPairsCreateFunct1dPairscreate_funct_1d_pairs also allows to define a function with non-equidistant x values by specifying them explicitly. Thus to get the same definition as with create_funct_1d_arraycreate_funct_1d_arrayCreateFunct1dArrayCreateFunct1dArraycreate_funct_1d_array, one would pass a tuple of x values to create_funct_1d_pairscreate_funct_1d_pairsCreateFunct1dPairsCreateFunct1dPairscreate_funct_1d_pairs that has the same length as YValuesYValuesYValuesYValuesyvalues and contains values starting at 0 and increasing by 1 in each position. Note, however, that create_funct_1d_pairscreate_funct_1d_pairsCreateFunct1dPairsCreateFunct1dPairscreate_funct_1d_pairs leads to a different internal representation of the function which needs more storage (because all (x,y) pairs are stored) and sometimes cannot be processed as efficiently as functions created by create_funct_1d_arraycreate_funct_1d_arrayCreateFunct1dArrayCreateFunct1dArraycreate_funct_1d_array.

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

Possible Successors

write_funct_1dwrite_funct_1dWriteFunct1dWriteFunct1dwrite_funct_1d, y_range_funct_1dy_range_funct_1dYRangeFunct1dYRangeFunct1dy_range_funct_1d, get_pair_funct_1dget_pair_funct_1dGetPairFunct1dGetPairFunct1dget_pair_funct_1d, transform_funct_1dtransform_funct_1dTransformFunct1dTransformFunct1dtransform_funct_1d

Alternatives

create_funct_1d_pairscreate_funct_1d_pairsCreateFunct1dPairsCreateFunct1dPairscreate_funct_1d_pairs, read_funct_1dread_funct_1dReadFunct1dReadFunct1dread_funct_1d

See also

funct_1d_to_pairsfunct_1d_to_pairsFunct1dToPairsFunct1dToPairsfunct_1d_to_pairs

Module

Foundation