08eb78a5b2
This PR sets up the new integrated test/bench suite. It then migrates all benchmarks and some related tests to the new suite. There's also some documentation and some linting. For now, a lot of the old tests are left alone so this PR doesn't become even larger than it already is. Eventually, all tests should be migrated to the new suite though so there isn't a confusing mix of two systems.
28 lines
991 B
Text
28 lines
991 B
Text
module
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-- Tests for `grind` as solver for linear equations in an `IntModule` or `RatModule`.
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open Lean.Grind
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section IntModule
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variable (R : Type u) [IntModule R]
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-- In an `IntModule`, we should be able to handle relations
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-- this is harder, and less important, than being able to do this in `RatModule`.
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example (a b : R) (h : a + b = 0) : 3 • a - 7 • b = 9 • a + a := by grind
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example (a b c : R) (h : 2 • a + 2 • b = 4 • c) : 3 • a + c = 5 • c - b + (-b) + a := by grind
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end IntModule
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section RatModule
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variable (R : Type u) [IntModule R] [NoNatZeroDivisors R]
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example (a b : R) (h : a + b = 0) : 3 • a - 7 • b = 9 • a + a := by grind
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example (a b c : R) (h : 2 • a + 2 • b = 4 • c) : 3 • a + c = 5 • c - b + (-b) + a := by grind
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-- In a `RatModule` we can clear common divisors.
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example (a : R) (h : a + a = 0) : a = 0 := by grind
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example (a b c : R) (h : 2 • a + 2 • b = 4 • c) : 3 • a + c = 7 • c - 3 • b := by grind
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end RatModule
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