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keisanHigh-precision calculations for everyday life and work

Intersection of Two Lines (Hesse's Standard Form)

Author: shiroeExecutions: 29

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Find the x and y coordinates of the intersection point of two lines expressed in Hesse’s standard form.
Let θ be the slope of Line 1.
Let φ be the slope of Line 2.
Let h1 be the distance from the origin to the starting point of the unit normal vector of Line 1.
Let h2 be the distance from the origin to the starting point of the unit normal vector of Line 2.
A value is positive if the unit normal vector points in the same direction as the line, and negative if it points in the opposite direction.
The azimuth is defined as positive when counterclockwise.
The azimuth is expressed in radians.
Valid azimuth values range from 0 to 2π.

The program outputs a result when it successfully finds an intersection point.
θ
rad
φ
rad
h1
h2
Adopted value for declination θ rad
Adopted value for declination φ rad
cosθ 
sinθ 
cosφ 
sinφ 
The value of (θ/2π)/360 °  (Rounded down to the nearest whole number)
The value of (φ/2π)/360 °  (Rounded down to the nearest whole number)
x-coordinate of the intersection point 
Y-coordinate of the intersection point 
Digit display setting: 6 digits. Digit count can be changed. Real number calculation mode.
When two straight lines are parallel, they have no points of intersection.
When two straight lines coincide, they have no points of intersection.

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