465
Special Math Instructions Section 3-13
Linear Extrapolation (C: Word Address)
Using 32-bit Signed Binary Data
In this example, APR(069) is used to convert the fluid height in a tank to fluid
volume based on the shape of the holding tank.
C+1
C+2
C+3
C+4
C+5
C+6
C+7
C+8
C+ (4n+1)
C+ (4n+2)
C+ (4n+3)
C+ (4n+4)
C+ (4m+1)
C+ (4m+2)
C+ (4m+3)
C+ (4m+4)
APR
C
S
R
X0
Y0
Ym
Xm
R
R+1
S
S+1
0
0.00
Variation from
standard = X
Fluid volume= Y
Fluid height to volume
conversion table
(32-bit signed binary data)
Y data range:
−2,147,483,648 to
2,147,483,647
Y: Fluid volume
X: Variation from standard
Linear extrapolation of table
The linear extrapolation can use
signed source data if 32-bit signed
binary data is used.
High-resolution 32-bit
signed binary data
X data range:
−2,147,483,648 to 2,147,483,647
X0 (rightmost 16 bits)
X0 (leftmost 16 bits)
Y0 (rightmost 16 bits)
Y0 (leftmost 16 bits)
X1 (rightmost 16 bits)
X1 (leftmost 16 bits)
Y1 (rightmost 16 bits)
Y1 (leftmost 16 bits)
to
Xn (rightmost 16 bits)
Xn (leftmost 16 bits)
Yn (rightmost 16 bits)
Yn (leftmost 16 bits)
to
Xm (rightmost 16 bits)
Xm (leftmost 16 bits)
Ym (rightmost 16 bits)
Ym (leftmost 16 bits)
to
to
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