42 lines
2.0 KiB
Markdown
42 lines
2.0 KiB
Markdown
#programming-language
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メタプログラミングの技法の一種。[[MetaOCaml]]などが有名
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https://www.pls-lab.org/en/multi-stage-programming
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日本語での詳細な解説
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MetaOCaml を使った自己反映言語のコンパイル 浅井 健一 (Black )
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http://www.is.ocha.ac.jp/~asai/jpapers/ppl/asai14.pdf
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メタプログラミングのための時相論理に基づく型付 λ 計算 湯瀬 芳洋 五十嵐 淳
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http://www.fos.kuis.kyoto-u.ac.jp/~igarashi/papers/pdf/lambdaCB-PPL05.pdf
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筑波大学 論理と計算（2）
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http://www.cs.tsukuba.ac.jp/~kam/lecture/gairon2-2012/gairon2.pdf
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λ○: nextとprevを導入
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[MetaML](https://www.sciencedirect.com/science/article/pii/S0304397500000530) nextとprevに加えてrunを導入
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[[MacroML]] MetaMLをバックエンドにマクロとしてのわかりやすいシンタックス(`letmac`)とかを導入？
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λ□: box(cross-stage persistence)を導入
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λ○□：両方を統合
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[SATySFi の多段階計算入門](https://sankantsu.hatenablog.com/entry/2022/08/19/215024)
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## [[依存型]]との組み合わせ
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[A Dependently Typed Multi-Stage Calculus](https://arxiv.org/abs/1908.02035)
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https://link.springer.com/chapter/10.1007/978-3-030-34175-6_4
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> Let’s consider an application, for example, in computer graphics, in which we have potentially many pairs of vectors of the fixed (but statically unknown) length and a function—such as vector addition—to be applied to them.
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> This function should be fast because it is applied many times and be safe because just one runtime error may ruin the whole long-running calculation.
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> Our goal is to define the function `vadd` of type $$Πn : Int.∀β.⊲β(Vector (\%_αn) → Vector (\%_αn) → Vector (\%_αn))$$
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> .It takes the length n and returns (β-closed) code of a function to add two vectors of length n. The generated code is run by applying it to ε to obtain a function of type $Vector\; n → Vector\; n → Vector\; n$ as expected.
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この辺はなんかやりたいことに近そうな予感がする |