I'm tired

simu-lora/triangle.py

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+import math
+
+def side(a, b):
+    return math.sqrt(math.pow(b[0]-a[0],2)+math.pow(b[1]-a[1],2))
+
+def heron(a, b, c):
+    s=0.5*(a+b+c)
+    return math.sqrt(s*((s-a)*(s-b)*(s-c)))
+
+def circle_triangle(a):
+    return math.asin(a/2)-((a/4)*math.sqrt(4-math.pow(a,2)))
+
+A = (1,1)
+B = (2.5,1)
+C = (2,2)
+
+## Using the algorithm provided in the document... find the intersections
+
+A_intersec = (1.51,1.13)
+B_intersec = (2,1)
+C_intersec = (1.75,1.66)
+
+## Calcul des longueurs via distance euclidienne
+AB=side(A_intersec,B_intersec)
+BC=side(B_intersec,C_intersec)
+CA=side(C_intersec,A_intersec)
+
+## Formule de Héron
+triangle_area=heron(AB,BC,CA)
+
+## Calcul des cercles autour des triangles
+c_AB = circle_triangle(AB)
+c_BC = circle_triangle(BC)
+c_CA = circle_triangle(CA)
+print(c_AB)
+print(c_BC)
+print(c_CA)
+
+area = triangle_area + c_AB + c_BC + c_CA
+
+print(f"Triangle area: {heron(side(A,B),side(B,C),side(C,A))}")
+print(f"Intersection triangle area: {triangle_area}")
+print(f"Total area: {area}")