create_funct_1d_array — Create a function from a sequence of y values.
create_funct_1d_array creates a one-dimensional function
from a set of y values YValues. The resulting function
can then be processed and analyzed with the operators for 1d
functions. YValues is interpreted as follows: the first
value of YValues 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 YValues with .
Alternatively, the operator create_funct_1d_pairs can be
used to create a function. create_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_array, one would pass a tuple of
x values to create_funct_1d_pairs that has the same length
as YValues and contains values starting at 0 and increasing by
1 in each position. Note, however, that create_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_array.
YValues (input_control) number(-array) → (real / integer)
X value for function points.
Function (output_control) function_1d → (real / integer)
Created function.
write_funct_1d,
y_range_funct_1d,
get_pair_funct_1d,
transform_funct_1d
create_funct_1d_pairs,
read_funct_1d
Foundation