Game Development Reference
In-Depth Information
FIGURE 11.14
By setting the variables
a
,
b
, and
c
, such that
a
≤
c
≤
b
,
any triangular distribution can be created quickly and easily.
If
c
≤
x
≤
b
then:
By programming the formulas and their constraints, we can yield quick prob-
ability distributions for all
x
between
a
and
b
. For example, by using the relatively
arbitrary numbers 6 and 53 for
a
and
b,
respectively, and 41 for
c
, we get the prob-
ability distribution shown in Figure 11.15.
FIGURE 11.15
The triangular probability distribution generated by
a
= 6,
b
= 53 and
c
= 41. Note that because the curve crosses
the axis at
a
and
b
, the value at these points is 0%.