New questions needed about apps1 HOT 3 CLOSED

Alex, sure - I can cope with the configuration management issues myself if need be.

M

On 24 Jul 2013, at 10:08, Alex Chan wrote:

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• Find the distance between the points ... and .... [It would be good to have a mix of positive and negative coordinates, a mix of integer coordinates and coordinates expressed as fractions and coordinates expressed as decimals and coordinates expressed as surds, if possible. Anything to get away from the inevitable Pythagorean triples.]

• Find the highest common factor of ... and .... [I'm expect them to use Euclid, so the numbers could say go up to 99999 or even 999999 if you're feeling mean. Positive integers only, please!]

• Find the centre and radius of the circle passing through the points ... and ... and .... [I think that the nice way to do this is to find the circumcentre of the triangle by finding the point of intersection of two of the perpendicular bisectors of sides of the triangle and then computing the radius afterwards.]

• Find the least common multiple of ... and .... [Probably best not to use very large numbers for this.]

• Find all integer solutions $m$ and $n$ to the equation $...m + ...n = ...$. [Let's make the first two coefficients positive, and say up to 999, and the right-hand side any integer (say between -999 and 999).]

2 and 4 should be easy (we already have helper functions for these), I’ve already had a play with 3, and 1 and 5 don’t seem too tricky either.

Mike — shall I do these when I have a spare moment?

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Mike Pearson
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MMP, Centre for Mathematical Sciences,
Cambridge CB3 0WA

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As of this evening:

1. Implemented for integers and fractions in [-10,10] * [-10,10]. Easy to extend if we want a wider range of numbers. Commit 2d14d8b. I might play with decimals at some point.
2. Finished in commit 4df9ab9.
3. I started working on this in commit 111acff, but my numbers are still a little wonky.
4. Ditto 2.
5. Finished in commit 06b3486.

Appropriate unit tests are included.

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Q3 is now working properly in 25baa9f. I might rework this later to get slightly less horrible numbers.

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