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atan2

Grid bearing t0 used in geodetic coordinate systems, atan() for 4 quadrants in the intervall (0, 2п)

Calling Sequence

[tangle] = atan2(yin, xin)

Parameters

yin, xin

coordinates (diferences) y and x, scalar or vectors of same size [ ]

tangle

Grid bearing t0, scalar or matrix [rad]

Description

Calculates the grid bearing t0. In geodetic systems angels are clockwise defined contrary to the mathematical definition counter clockwise.

quadrant x, y grid bearing t
x > 0, y = 0 t = 0
Ⅰ x, y > 0 0 < t < π/2
x = 0, y > 0 t = π/2
Ⅱ x < 0, y > 0 π/2 < t < π
x < 0, y = 0 t = π
Ⅲ x, y < 0 π < t < 1.5⋅π
x = 0, y < 0 t = 1.5⋅π
Ⅳ x > 0, y < 0 1.5⋅π < t < 2⋅π

Examples

x = [ 1 0 -1 ];
y = [ 1 -1 0 ];
atan2(y, x)

See Also

Authors


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