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  1. Prepare
  2. Python
  3. Classes
  4. Class 2 - Find the Torsional Angle
  5. Discussions

Class 2 - Find the Torsional Angle

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  • sefamutlucu
     + 0 comments
    import math

class Points(object):
    def __init__(self, x, y, z):
        self.x = x
        self.y = y
        self.z = z

    def __sub__(self, no):
        return Points(self.x - no.x, self.y - no.y, self.z - no.z)

    def dot(self, no):
        return self.x * no.x + self.y * no.y + self.z * no.z
        
    def cross(self, no):
        x = self.y * no.z - self.z * no.y
        y = self.z * no.x - self.x * no.z
        z = self.x * no.y - self.y * no.x
        return Points(x, y, z)
        
    def absolute(self):
        return pow((self.x ** 2 + self.y ** 2 + self.z ** 2), 0.5)

  • rejin_gunasekar1
     + 0 comments
    import math
class Points(object):
    def __init__(self, x, y, z):
        self.x = x
        self.y = y
        self.z = z
    def __sub__(self, no):
        return Points(self.x - no.x, self.y - no.y, self.z - no.z)
    def dot(self, no):
        return self.x * no.x + self.y * no.y + self.z * no.z
    def cross(self, no):
        return Points(self.y * no.z - self.z * no.y, self.z * no.x - self.x * no.z, self.x * no.y - self.y * no.x)
    def absolute(self):
        return pow((self.x ** 2 + self.y ** 2 + self.z ** 2), 0.5)
if __name__ == '__main__':
    points = list()
    for i in range(4):
        a = list(map(float, input().split()))
        points.append(a)

    a, b, c, d = Points(*points[0]), Points(*points[1]), Points(*points[2]), Points(*points[3])
    x = (b - a).cross(c - b)
    y = (c - b).cross(d - c)
    angle = math.acos(x.dot(y) / (x.absolute() * y.absolute()))

    print("%.2f" % math.degrees(angle))

  • hungngtr1610
     + 0 comments
    import math

class Points(object):
    def __init__(self, x, y, z):
        self.x = x
        self.y = y
        self.z = z


    def __sub__(self, no):
        return Points(self.x - no.x, self.y - no.y, self.z - no.z)


    def dot(self, no):
         return self.x * no.x + self.y * no.y + self.z * no.z


    def cross(self, no):
        return Points(
            self.y * no.z - self.z * no.y,
            self.z * no.x - self.x * no.z,
            self.x * no.y - self.y * no.x
        )

        
    def absolute(self):
        return pow((self.x ** 2 + self.y ** 2 + self.z ** 2), 0.5)

  • n4m774r_d
     + 0 comments
    class Points(object):
    def __init__(self, x, y, z):
        self.x,self.y,self.z = x,y,z

    def __sub__(self, no):
        vector = [d1 - d2 for d1,d2 in zip([self.x,self.y,self.z],[no.x,no.y,no.z])]
        return Points(*vector)

    def dot(self, no):
        sprod = sum([sp1*sp2 for sp1,sp2 in zip([self.x,self.y,self.z],[no.x,no.y,no.z])])
        return(sprod)

    def cross(self, no):
        vprod = [(self.y*no.z)-(self.z*no.y),(self.z*no.x)-(self.x*no.z),(self.x*no.y)-(self.y*no.x)]
        return Points(*vprod)

  • santoshpolimera1
     + 0 comments

    You are given four points and in a 3-dimensional Cartesian coordinate system. You are required to print the angle between the plane made by the points and in degrees(not radians). Let the angle be .

    where x and x .

    Here, means the dot product of and , and x means the cross product of vectors and . Also, .

    Input Format

    One line of input containing the space separated floating number values of the and coordinates of a point.

    Output Format

    Output the angle correct up to two decimal places.

    Sample Input

    0 4 5 1 7 6 0 5 9 1 7 2 Sample Output

    8.19