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    <p>For those who would like to avoid numpy and do this in pure python, this may give you a few good ideas. I'm sure there are disadvantages and flaws to this little skit also. The "operator" module speeds up your math calculations as they are done with c functions:</p> <pre><code>from operator import sub, add, iadd, mul import copy class Acceleration(object): def __init__(self, x, y, z): super(Acceleration, self).__init__() self.accel = [x, y , z] self.dimensions = len(self.accel) @property def x(self): return self.accel[0] @x.setter def x(self, val): self.accel[0] = val @property def y(self): return self.accel[1] @y.setter def y(self, val): self.accel[1] = val @property def z(self): return self.accel[2] @z.setter def z(self, val): self.accel[2] = val def __iadd__(self, other): for x in xrange(self.dimensions): self.accel[x] = iadd(self.accel[x], other.accel[x]) return self def __add__(self, other): newAccel = copy.deepcopy(self) newAccel += other return newAccel def __str__(self): return "Acceleration(%s, %s, %s)" % (self.accel[0], self.accel[1], self.accel[2]) def getVelocity(self, deltaTime): return Velocity(mul(self.accel[0], deltaTime), mul(self.accel[1], deltaTime), mul(self.accel[2], deltaTime)) class Velocity(object): def __init__(self, x, y, z): super(Velocity, self).__init__() self.x = x self.y = y self.z = z def __str__(self): return "Velocity(%s, %s, %s)" % (self.x, self.y, self.z) if __name__ == "__main__": accel = Acceleration(1.1234, 2.1234, 3.1234) accel += Acceleration(1, 1, 1) print accel accels = [] for x in xrange(10): accel += Acceleration(1.1234, 2.1234, 3.1234) vel = accel.getVelocity(2) print "Velocity of object with acceleration %s after one second:" % (accel) print vel </code></pre> <p>prints the following:</p> <p>Acceleration(2.1234, 3.1234, 4.1234)</p> <p>Velocity of object with acceleration Acceleration(13.3574, 24.3574, 35.3574) after one second: Velocity(26.7148, 48.7148, 70.7148)</p> <p>You can get fancy for faster calculations:</p> <pre><code>def getFancyVelocity(self, deltaTime): from itertools import repeat x, y, z = map(mul, self.accel, repeat(deltaTime, self.dimensions)) return Velocity(x, y, z) </code></pre>
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    1. COThanks for your solution, but it only provides means to add vectors and a method for approximating their integral. What I meant was a way to define the mathematical representation of the field (acceleration, in this case) but probably my question was not clear enough. I will rephrase it soon... Thanks again.
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