doc: Add a roadmap to the README
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# typomath
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Proof of concepts for a PocoMath-adjacent approach to a possible math.ts (TypeScript analogue of mathjs)
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Proof of concepts for a PocoMath-adjacent approach to a possible math.ts (TypeScript analogue of mathjs)
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Roadmap:
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1. Install over.ts and get an example of add with number and bigint implementations working with it.
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2. Use the builder pattern to get add working with its implmentations defined incrementally before producing the final overload.
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3. Use the builder pattern to get a single object with both an add and a negate method, with both defined incrementally, working.
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4. Incorporate a subtract method that works generically with both add and negate, with just one generic implementation.
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5. Attempt to eliminate redundant specification of implementation signatures.
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6. Incorporate multi-argument reducing implementation of add.
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7. Actually split into multiple source files to make sure that works.
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8. Add a template Complex type with add and subtract.
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9. Define a sqrt method that depends on a literal constant non-mutable config object that has to be set before loading sqrt, but with two different imports that use different settings for the config.
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10. Add a NumInt type to the existing methods. For reference in the case of positive numbers: https://stackoverflow.com/questions/71670965/how-do-i-assert-a-number-type-is-positive. One can make a similar template for integers, esp. using `${bigint}` in a template literal. But as the comments point out, this doesn't work for computed arguments, only literals. (I think there was a package or repository or other library of lots of such examples, but now I can't find it :-( but anyhow...). So I am not really sure how a type that can't really be precisely represented in TypeScript is going to work out in this approach... Maybe there is a way to automatically combine branded types with type guards. Check out newtype-ts, it has a type library with a bunch of branded types.
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If we get that far, then math.ts is probably feasible.
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