CyclicValue - project a cyclic value onto it's norm interval (e.g. angle on [0,360))Synopsis:
value [b1 b2] CyclicValue -> normvalue
value b1 b2 CyclicValue -> normvalue
See below for the meaning of b1, b2!
%% project angle in degrees onto [0,360):
-3601 [0 360] CyclicValue -> 359.0
%% project angle in radians onto [-pi,pi):
23.0 [Pi -1 mul Pi] CyclicValue -> -2.13274
%% this demonstrates the handling of open/closed interval ends:
%% project number onto [1,4):
1 [1 4] CyclicValue -> 1
2 [1 4] CyclicValue -> 2
3 [1 4] CyclicValue -> 3
4 [1 4] CyclicValue -> 1
%% project number onto (1,4]:
1 [4 1] CyclicValue -> 4
2 [4 1] CyclicValue -> 2
3 [4 1] CyclicValue -> 3
4 [4 1] CyclicValue -> 4
For a given value and a given norm interval, "CyclicValue" returns
the value's norm equivalent. This is useful for all values with a
cyclic definition, such as angles.
The output is always of type double, regardless of the input type.
Alternatives: Function CyclicValue_d_d_d if you use it with three doubles
(interval = double1 - double2), CyclicValue_d_a if you use it with
double and array (both undocumented) -> behaviour and synopsis are the same.
In : value: value in (-oo, oo)
b1, b2: norm interval.
This interval is half-open: [.), or (.], depending on
the following rules:
b1 must not equal b2.
b1 always denotes the closed end of the interval.
b2 always denotes the open end of the interval.
If b1>b2, the norm interval used is (b2,b1].
See below for examples.
Out: The value's norm equivalent in the interval [b1, b2).
The output is always of type double, regardless of the input
b1 must not equal b2. This is not checked for efficency reasons!
If b1=b2, code will break with /DivisionByZero during execution.
Variant *_d_d_d is fastest. Prefer this variant over *_d_a in time
Inspired by IDL/NASE commandfunction cyclic_value().