How to resolve the algorithm Circles of given radius through two points step by step in the Yabasic programming language
Published on 12 May 2024 09:40 PM
How to resolve the algorithm Circles of given radius through two points step by step in the Yabasic programming language
Table of Contents
Problem Statement
Given two points on a plane and a radius, usually two circles of given radius can be drawn through the points.
Let's start with the solution:
Step by Step solution about How to resolve the algorithm Circles of given radius through two points step by step in the Yabasic programming language
Source code in the yabasic programming language
sub twoCircles (x1, y1, x2, y2, radio)
if x1 = x2 and y1 = y2 then //Si los puntos coinciden
if radio = 0 then //a no ser que radio=0
print "Los puntos son los mismos\n"
return true
else
print "Hay cualquier numero de circulos a traves de un solo punto (", x1, ",", y1, ") de radio ", radio : print
return true
end if
end if
r2 = sqr((x1-x2)^2+(y1-y2)^2) / 2 //distancia media entre puntos
if radio < r2 then
print "Los puntos estan demasiado separados (", 2*r2, ") - no hay circulos de radio ", radio : print
return true
end if
//si no, calcular dos centros
cx = (x1+x2) / 2 //punto medio
cy = (y1+y2) / 2
//debe moverse desde el punto medio a lo largo de la perpendicular en dd2
dd2 = sqr(radio^2 - r2^2) //distancia perpendicular
dx1 = x2-cx //vector al punto medio
dy1 = y2-cy
dx = 0-dy1 / r2*dd2 //perpendicular:
dy = dx1 / r2*dd2 //rotar y escalar
print " -> Circulo 1 (", cx+dy, ", ", cy+dx, ")" //dos puntos, con (+)
print " -> Circulo 2 (", cx-dy, ", ", cy-dx, ")\n" //y (-)
end sub
for i = 1 to 5
read x1, y1, x2, y2, radio
print "Puntos ", "(", x1, ",", y1, "), (", x2, ",", y2, ")", ", Radio ", radio
twoCircles (x1, y1, x2, y2, radio)
next
end
//p1 p2 radio
data 0.1234, 0.9876, 0.8765, 0.2345, 2.0
data 0.0000, 2.0000, 0.0000, 0.0000, 1.0
data 0.1234, 0.9876, 0.1234, 0.9876, 2.0
data 0.1234, 0.9876, 0.8765, 0.2345, 0.5
data 0.1234, 0.9876, 0.1234, 0.9876, 0.0
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