residue_integer_crt — RESIDUE theorem op

• 数据种类:signal × signal → table

• 调用: import fullseye as fs; fs.ledger.residue_integer_crt(residues, moduli) -> 'dict'(要直接调用实现,import residue; residue.residue_integer_crt(residues, moduli) -> 'dict';从台账取用则 opsresidue.get("residue_integer_crt"))

用法

精确的整数中国剩余定理（Garner 混合基数算法）-> dict。

> 以下的详细说明为原文 —— 摘要与标题已翻译。

residues and moduli are equal-length integer sequences; the moduli must be pairwise coprime and >= 2. Returns {"value": int, "modulus": int, "mixed_radix": [digits]} where value is the unique solution in [0, prod(moduli)). Arithmetic is Python's arbitrary-precision int — there is no rounding anywhere, which is why this op is the oracle for residue_crt.

The mixed-radix digits d_k satisfy value = d_0 + d_1 m_0 + d_2 m_0 m_1 + ...:

the *positional* (coarse-to-fine) reading of the same residues, i.e. the bridge between the residue view and the place-value view.

参考(示例数据、文献)

• 示例数据目录(下载 URL / 许可证) —— 2-D 用 skimage.data(BSD/公有领域)加合成图,3-D 给出真实数据源(Stanford/PDS 等)的下载 URL。

• 算子来历与参考文献 —— 该算子族所依据的研究/方法出处。

• 算法的正典(作者、年份)与用途见上面的族使用指南。

可运行的示例(实际调用该算子并已验证的样例)

• poc_residue_crt — py -3.11 examples/poc_residue_crt.py

类型可衔接的下一个算子(可接受 table 作为输入)

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同类别(theorem)

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*Provenance: residue.py — RESIDUE 算子登记表。本条目由 tools/opdocs.py md 自动生成(请勿手工编辑)。*

© 2026 Kazufumi Furuse — Fullseye operator documentation. Licensed under Apache-2.0.