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Calculating Chain Rank

Chain Rank Calculation Examples

The following sections contain information on calculating these values:

• chain rank

• from-node

• to-node

Point Coordinates

The examples in Example: Calculating From-Node Rank and Example: Calculating To-Node Rank use the information in the following table.

Coordinate Values for a Chain with One Detail Point

Point	Description	X	Y
F	from-node of chain	-784533	373266
D	Detail point	-784688	373375
T	To-node of chain	-784559	373498

Variable Definitions

The variables used in the equations have the following definitions:

RF	is the rank value at the from-node of the chain.
RT	is the rank value at the to-node of the chain.
A	is the angle from the chain clockwise to the nearest X or Y axis.
X	is the length of a chain segment along the X axis.
Y	is the length of a chain segment along the Y axis.

Calculating Chain Rank

The from-node and to-node rank values are expressed as a single number in the form ffffff.tttttt. Therefore, the rank for the chain in Example: Calculating From-Node Rank and Example: Calculating To-Node Rank is 131641.240034. This is the value of the RANK variable for this chain in the chains data set.

Note:   The trigonometric functions for calculating the RANK value in the following sections are in radians.  

Example: Calculating From-Node Rank

The following equations illustrate the steps necessary to calculate the from-node rank:

given

and

then

The following example illustrates calculating a from-node rank with the given values:

given

and

and

then

Calculating the From-Node Rank

Example: Calculating To-Node Rank

The following equations illustrate the steps necessary to calculate the to-node rank:

given

and

then

The following example illustrates calculating a to-node rank with the given values:

given

and

and

then

Calculating the To-Node Rank

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