From 490a208a2c3b6413552b1a22596cae2af412c05d Mon Sep 17 00:00:00 2001 From: GiggleLiu Date: Tue, 17 Mar 2026 02:32:32 +0800 Subject: [PATCH 1/5] Add plan for #548: [Model] CosineProductIntegration --- .../2026-03-17-cosine-product-integration.md | 198 ++++++++++++++++++ 1 file changed, 198 insertions(+) create mode 100644 docs/plans/2026-03-17-cosine-product-integration.md diff --git a/docs/plans/2026-03-17-cosine-product-integration.md b/docs/plans/2026-03-17-cosine-product-integration.md new file mode 100644 index 000000000..5e422f691 --- /dev/null +++ b/docs/plans/2026-03-17-cosine-product-integration.md @@ -0,0 +1,198 @@ +# CosineProductIntegration Implementation Plan + +> **For Claude:** REQUIRED SUB-SKILL: Use superpowers:executing-plans to implement this plan task-by-task. + +**Goal:** Add the `CosineProductIntegration` model, CLI creation support, canonical examples, tests, and paper documentation for GitHub issue #548. + +**Architecture:** Implement `CosineProductIntegration` as a witness-free satisfaction problem in `src/models/misc/`: `dims()` returns `[]`, and `evaluate([])` decides whether the cosine product integral over `[0, 2pi]` is zero by checking whether the coefficient multiset admits any balanced sign assignment. Use a subset-sum style reachability check over absolute coefficient values so the code matches the issue's YES/NO examples without performing numeric integration. Call out in comments / PR summary that this is a complement-style problem, so future reductions into this model require extra review. + +**Tech Stack:** Rust library + CLI (`clap`), serde/inventory registry metadata, Typst paper docs, existing brute-force/example-db infrastructure. + +--- + +## Batch 1: Model, Registry, CLI, Examples, Tests + +### Task 1: Add the failing model tests first + +**Files:** +- Create: `src/unit_tests/models/misc/cosine_product_integration.rs` +- Reference: `src/unit_tests/models/misc/subset_sum.rs` +- Reference: `src/unit_tests/solvers/brute_force.rs` + +**Step 1: Write the failing tests** + +Add tests that pin down the required semantics before any production code: +- creation/accessor test for `coefficients()` and `num_coefficients()` +- evaluation test for the issue's NO example `(2, 3, 5)` expecting `evaluate(&[]) == false` +- evaluation test for the issue's YES example `(1, 2, 6)` expecting `evaluate(&[]) == true` +- solver test showing `BruteForce::find_satisfying()` returns `Some(vec![])` exactly when the integral is zero +- serialization round-trip test for `{"coefficients":[2,3,5]}` +- edge-case test for empty input and/or zero coefficients + +**Step 2: Run the targeted test command and confirm RED** + +Run: `cargo test cosine_product_integration --lib` + +Expected: compile failure because the model module does not exist yet. + +**Step 3: Commit the test-first checkpoint once the file exists and fails for the right reason** + +Run after the failing state is confirmed: +`git add src/unit_tests/models/misc/cosine_product_integration.rs` + +Do not commit yet if later tasks are still in progress on the same red-green cycle. + +### Task 2: Implement the model and register it + +**Files:** +- Create: `src/models/misc/cosine_product_integration.rs` +- Modify: `src/models/misc/mod.rs` +- Modify: `src/models/mod.rs` +- Modify: `src/lib.rs` + +**Step 1: Implement the new model file** + +Build `CosineProductIntegration` with: +- `ProblemSchemaEntry` metadata (`display_name`, empty aliases, one `coefficients: Vec` field) +- struct definition + constructor + accessors +- `num_coefficients()` getter for `declare_variants!` +- helper that decides whether a balanced sign assignment exists by reducing to subset-sum over absolute values +- `Problem` impl with `type Metric = bool`, `variant_params![]`, `dims() == vec![]`, and `evaluate(config)` accepting only `[]` +- `SatisfactionProblem` impl +- `declare_variants! { default sat CosineProductIntegration => "2^(num_coefficients / 2)" }` +- `#[cfg(test)]` link to the new unit-test file + +**Step 2: Register the model in module exports** + +Update: +- `src/models/misc/mod.rs` +- `src/models/mod.rs` +- `src/lib.rs` prelude export list + +Also add one-line module docs in `src/models/misc/mod.rs` so the new problem appears in the misc catalog comment. + +**Step 3: Run the targeted tests and confirm GREEN** + +Run: `cargo test cosine_product_integration --lib` + +Expected: the new tests compile and pass. + +### Task 3: Add CLI creation support + +**Files:** +- Modify: `problemreductions-cli/src/cli.rs` +- Modify: `problemreductions-cli/src/commands/create.rs` + +**Step 1: Add a dedicated `--coefficients` create flag** + +Extend `CreateArgs` with `coefficients: Option`, include it in `all_data_flags_empty()`, and document it in the create-command `after_help` problem table. + +**Step 2: Add `pred create CosineProductIntegration` support** + +In `problemreductions-cli/src/commands/create.rs`: +- import the new model type +- add an example string for help output +- parse `--coefficients` as `Vec` +- construct `CosineProductIntegration::new(coefficients)` +- emit clear usage text, e.g. `pred create CosineProductIntegration --coefficients 1,2,6` + +**Step 3: Add a CLI-focused regression test if an existing create-command test file is the right home** + +If there is already coverage for `pred create` model construction in the CLI test suite, add one targeted case there; otherwise rely on schema-driven help + serde round-trip from the model/unit layer. + +**Step 4: Run the targeted CLI command locally** + +Run: +`cargo run -p problemreductions-cli -- create CosineProductIntegration --coefficients 1,2,6` + +Expected: JSON output for the new model with `problem_type = "CosineProductIntegration"`. + +### Task 4: Add canonical example-db coverage + +**Files:** +- Modify: `src/models/misc/cosine_product_integration.rs` +- Modify: `src/models/misc/mod.rs` + +**Step 1: Add a canonical example spec under the model file** + +Use the issue's YES instance `(1, 2, 6)` so the canonical satisfying config is `[]` and the exported example stays consistent with the witness-free representation. + +**Step 2: Register the canonical example** + +Extend `src/models/misc/mod.rs::canonical_model_example_specs()` to include the new model's example spec. + +**Step 3: Run the relevant example-db tests** + +Run: +- `cargo test cosine_product_integration --lib` +- `cargo test example_db --lib` + +Expected: both pass. + +## Batch 2: Paper Entry and Final Verification + +### Task 5: Document the model in the Typst paper + +**Files:** +- Modify: `docs/paper/reductions.typ` +- Modify: `src/unit_tests/models/misc/cosine_product_integration.rs` + +**Step 1: Add the paper display name entry** + +Register `"CosineProductIntegration": [Cosine Product Integration],` in the `display-name` dictionary. + +**Step 2: Add `problem-def("CosineProductIntegration")`** + +Document: +- the formal integral-zero decision problem +- the equivalence to the absence of a balanced sign assignment / partition +- the weak-NP-hard / pseudo-polynomial caveat carefully, without repeating the issue's incorrect NP-complete phrasing unless it is independently justified +- the worked YES/NO examples from the issue, phrased in terms of sign sums rather than numeric quadrature + +**Step 3: Add the paper-example regression test** + +Extend `src/unit_tests/models/misc/cosine_product_integration.rs` with a `test_cosine_product_integration_paper_example` that uses the same instance/answer stated in the Typst entry. + +**Step 4: Build the paper and confirm GREEN** + +Run: +- `make paper` +- `cargo test cosine_product_integration --lib` + +Expected: Typst compiles and the paper example test passes. + +### Task 6: Full verification, review, PR summary, and cleanup + +**Files:** +- Modify as needed: any files touched above + +**Step 1: Run repository verification** + +Run: +- `make test` +- `make clippy` + +If any command fails, fix the code before moving on. + +**Step 2: Run implementation review** + +Run the repo-local review workflow equivalent to `.claude/skills/review-implementation/SKILL.md` and fix any structural or quality findings before committing. + +**Step 3: Commit the implementation** + +Create logical commits after the code is green: +- implementation/tests/example-db/CLI +- paper/docs if it is easier to review separately + +**Step 4: Remove this plan file before the final push** + +Run: +- `git rm docs/plans/2026-03-17-cosine-product-integration.md` +- commit the cleanup + +**Step 5: Push, post the PR implementation summary, and request Copilot review** + +Before pushing, include in the PR comment: +- the witness-free evaluation design choice +- the corrected Schroeppel-Shamir citation detail (10(3), not 10(4)) if it appears in the paper/PR +- the open caution that reductions into this model need complement-orientation review From cfba86ae18bda8a7a29053f7b75450df6729afd0 Mon Sep 17 00:00:00 2001 From: GiggleLiu Date: Tue, 17 Mar 2026 03:03:28 +0800 Subject: [PATCH 2/5] Implement #548: add CosineProductIntegration model --- docs/paper/reductions.typ | 12 ++ problemreductions-cli/src/cli.rs | 7 +- problemreductions-cli/src/commands/create.rs | 23 ++- src/example_db/fixtures/examples.json | 25 +-- src/lib.rs | 4 +- src/models/misc/cosine_product_integration.rs | 157 ++++++++++++++++++ src/models/misc/mod.rs | 4 + src/models/mod.rs | 6 +- .../models/misc/cosine_product_integration.rs | 114 +++++++++++++ 9 files changed, 331 insertions(+), 21 deletions(-) create mode 100644 src/models/misc/cosine_product_integration.rs create mode 100644 src/unit_tests/models/misc/cosine_product_integration.rs diff --git a/docs/paper/reductions.typ b/docs/paper/reductions.typ index 01372f7cb..e0df33f31 100644 --- a/docs/paper/reductions.typ +++ b/docs/paper/reductions.typ @@ -85,6 +85,7 @@ "Satisfiability": [SAT], "KSatisfiability": [$k$-SAT], "CircuitSAT": [CircuitSAT], + "CosineProductIntegration": [Cosine Product Integration], "Factoring": [Factoring], "KingsSubgraph": [King's Subgraph MIS], "TriangularSubgraph": [Triangular Subgraph MIS], @@ -1911,6 +1912,17 @@ NP-completeness was established by Garey, Johnson, and Stockmeyer @gareyJohnsonS *Example.* Let $A = {3, 7, 1, 8, 2, 4}$ ($n = 6$) and target $B = 11$. Selecting $A' = {3, 8}$ gives sum $3 + 8 = 11 = B$. Another solution: $A' = {7, 4}$ with sum $7 + 4 = 11 = B$. ] +#problem-def("CosineProductIntegration")[ + Given integers $a_1, dots, a_n$, determine whether + $ + integral_0^(2 pi) product_(i=1)^n cos(a_i theta) dif theta != 0. + $ +][ + Cosine Product Integration appears as problem A7 AN14 in Garey and Johnson @garey1979. Expanding each cosine as $(e^(i a_i theta) + e^(-i a_i theta)) / 2$ shows that the integral equals $(2 pi / 2^n)$ times the number of sign vectors $epsilon in {-1, 1}^n$ with $sum_i epsilon_i a_i = 0$. Therefore the integral is nonzero exactly when there exists a balanced signed sum. Equivalently, after replacing each coefficient by its absolute value, the YES instances are precisely those whose multiset can be partitioned into two equal-sum parts. Garey and Johnson note the resulting decision problem remains solvable in pseudo-polynomial time @garey1979, and the same equivalence inherits the $O^*(2^(n slash 2))$ meet-in-the-middle exact algorithm used for Partition and Subset Sum @horowitz1974. + + *Example.* For coefficients $(2, 3, 5)$ we have the balanced sign assignment $+2 + 3 - 5 = 0$, so the integral equals $(2 pi / 2^3) times 2 = pi / 2$ and the answer is YES. For coefficients $(1, 2, 6)$ the total absolute sum is $9$, which is odd, so no balanced sign assignment exists and the integral is zero; hence the answer is NO. +] + #{ let x = load-model-example("ShortestCommonSupersequence") let alpha-size = x.instance.alphabet_size diff --git a/problemreductions-cli/src/cli.rs b/problemreductions-cli/src/cli.rs index e71a9e426..64da3220d 100644 --- a/problemreductions-cli/src/cli.rs +++ b/problemreductions-cli/src/cli.rs @@ -229,6 +229,7 @@ Flags by problem type: LengthBoundedDisjointPaths --graph, --source, --sink, --num-paths-required, --bound Factoring --target, --m, --n BinPacking --sizes, --capacity + CosineProductIntegration --coefficients SubsetSum --sizes, --target PaintShop --sequence MaximumSetPacking --sets [--weights] @@ -274,7 +275,8 @@ Examples: pred create FVS --arcs \"0>1,1>2,2>0\" --weights 1,1,1 pred create UndirectedTwoCommodityIntegralFlow --graph 0-2,1-2,2-3 --capacities 1,1,2 --source-1 0 --sink-1 3 --source-2 1 --sink-2 3 --requirement-1 1 --requirement-2 1 pred create X3C --universe 9 --sets \"0,1,2;0,2,4;3,4,5;3,5,7;6,7,8;1,4,6;2,5,8\" - pred create SetBasis --universe 4 --sets \"0,1;1,2;0,2;0,1,2\" --k 3")] + pred create SetBasis --universe 4 --sets \"0,1;1,2;0,2;0,1,2\" --k 3 + pred create CosineProductIntegration --coefficients 2,3,5")] pub struct CreateArgs { /// Problem type (e.g., MIS, QUBO, SAT). Omit when using --example. #[arg(value_parser = crate::problem_name::ProblemNameParser)] @@ -375,6 +377,9 @@ pub struct CreateArgs { /// Item sizes for BinPacking (comma-separated, e.g., "3,3,2,2") #[arg(long)] pub sizes: Option, + /// Integer cosine frequencies for CosineProductIntegration (comma-separated, e.g., "2,3,5") + #[arg(long)] + pub coefficients: Option, /// Bin capacity for BinPacking #[arg(long)] pub capacity: Option, diff --git a/problemreductions-cli/src/commands/create.rs b/problemreductions-cli/src/commands/create.rs index 03220f4f6..f2ee3143d 100644 --- a/problemreductions-cli/src/commands/create.rs +++ b/problemreductions-cli/src/commands/create.rs @@ -13,8 +13,9 @@ use problemreductions::models::graph::{ SteinerTree, }; use problemreductions::models::misc::{ - BinPacking, FlowShopScheduling, LongestCommonSubsequence, MinimumTardinessSequencing, - PaintShop, SequencingWithinIntervals, ShortestCommonSupersequence, SubsetSum, + BinPacking, CosineProductIntegration, FlowShopScheduling, LongestCommonSubsequence, + MinimumTardinessSequencing, PaintShop, SequencingWithinIntervals, ShortestCommonSupersequence, + SubsetSum, }; use problemreductions::prelude::*; use problemreductions::registry::collect_schemas; @@ -55,6 +56,7 @@ fn all_data_flags_empty(args: &CreateArgs) -> bool { && args.requirement_1.is_none() && args.requirement_2.is_none() && args.sizes.is_none() + && args.coefficients.is_none() && args.capacity.is_none() && args.sequence.is_none() && args.sets.is_none() @@ -233,7 +235,6 @@ fn type_format_hint(type_name: &str, graph_type: Option<&str>) -> &'static str { "Vec>" => "semicolon-separated groups: \"0,1;2,3\"", "usize" => "integer", "u64" => "integer", - "Vec" => "comma-separated integers: 0,0,5", "i64" => "integer", "BigUint" => "nonnegative decimal integer", "Vec" => "comma-separated nonnegative decimal integers: 3,7,1,8", @@ -280,6 +281,7 @@ fn example_for(canonical: &str, graph_type: Option<&str>) -> &'static str { "PartitionIntoTriangles" => "--graph 0-1,1-2,0-2", "Factoring" => "--target 15 --m 4 --n 4", "SequencingWithinIntervals" => "--release-times 0,0,5 --deadlines 11,11,6 --lengths 3,1,1", + "CosineProductIntegration" => "--coefficients 2,3,5", "SteinerTree" => "--graph 0-1,1-2,1-3,3-4 --edge-weights 2,2,1,1 --terminals 0,2,4", "OptimalLinearArrangement" => "--graph 0-1,1-2,2-3 --bound 5", "DirectedTwoCommodityIntegralFlow" => { @@ -954,6 +956,21 @@ pub fn create(args: &CreateArgs, out: &OutputConfig) -> Result<()> { ) } + // CosineProductIntegration + "CosineProductIntegration" => { + let coefficients_str = args.coefficients.as_deref().ok_or_else(|| { + anyhow::anyhow!( + "CosineProductIntegration requires --coefficients\n\n\ + Usage: pred create CosineProductIntegration --coefficients 2,3,5" + ) + })?; + let coefficients: Vec = util::parse_comma_list(coefficients_str)?; + ( + ser(CosineProductIntegration::new(coefficients))?, + resolved_variant.clone(), + ) + } + // PaintShop "PaintShop" => { let seq_str = args.sequence.as_deref().ok_or_else(|| { diff --git a/src/example_db/fixtures/examples.json b/src/example_db/fixtures/examples.json index 6e52883b2..82bc9305f 100644 --- a/src/example_db/fixtures/examples.json +++ b/src/example_db/fixtures/examples.json @@ -5,6 +5,7 @@ {"problem":"BoundedComponentSpanningForest","variant":{"graph":"SimpleGraph","weight":"i32"},"instance":{"graph":{"inner":{"edge_property":"undirected","edges":[[0,1,null],[1,2,null],[2,3,null],[3,4,null],[4,5,null],[5,6,null],[6,7,null],[0,7,null],[1,5,null],[2,6,null]],"node_holes":[],"nodes":[null,null,null,null,null,null,null,null]}},"max_components":3,"max_weight":6,"weights":[2,3,1,2,3,1,2,1]},"samples":[{"config":[0,0,1,1,1,2,2,0],"metric":true}],"optimal":[{"config":[0,0,0,1,1,1,2,2],"metric":true},{"config":[0,0,0,1,1,2,2,2],"metric":true},{"config":[0,0,0,2,2,1,1,1],"metric":true},{"config":[0,0,0,2,2,2,1,1],"metric":true},{"config":[0,0,1,1,1,0,2,2],"metric":true},{"config":[0,0,1,1,1,2,2,0],"metric":true},{"config":[0,0,1,1,1,2,2,2],"metric":true},{"config":[0,0,1,1,2,0,1,1],"metric":true},{"config":[0,0,1,1,2,1,1,0],"metric":true},{"config":[0,0,1,1,2,2,1,0],"metric":true},{"config":[0,0,1,1,2,2,1,1],"metric":true},{"config":[0,0,1,1,2,2,2,0],"metric":true},{"config":[0,0,1,2,2,0,1,1],"metric":true},{"config":[0,0,1,2,2,1,1,0],"metric":true},{"config":[0,0,1,2,2,1,1,1],"metric":true},{"config":[0,0,1,2,2,2,1,0],"metric":true},{"config":[0,0,1,2,2,2,1,1],"metric":true},{"config":[0,0,2,1,1,0,2,2],"metric":true},{"config":[0,0,2,1,1,1,2,0],"metric":true},{"config":[0,0,2,1,1,1,2,2],"metric":true},{"config":[0,0,2,1,1,2,2,0],"metric":true},{"config":[0,0,2,1,1,2,2,2],"metric":true},{"config":[0,0,2,2,1,0,2,2],"metric":true},{"config":[0,0,2,2,1,1,1,0],"metric":true},{"config":[0,0,2,2,1,1,2,0],"metric":true},{"config":[0,0,2,2,1,1,2,2],"metric":true},{"config":[0,0,2,2,1,2,2,0],"metric":true},{"config":[0,0,2,2,2,0,1,1],"metric":true},{"config":[0,0,2,2,2,1,1,0],"metric":true},{"config":[0,0,2,2,2,1,1,1],"metric":true},{"config":[0,1,0,2,2,1,0,0],"metric":true},{"config":[0,1,0,2,2,2,0,0],"metric":true},{"config":[0,1,1,1,2,0,0,0],"metric":true},{"config":[0,1,1,1,2,2,0,0],"metric":true},{"config":[0,1,1,1,2,2,2,0],"metric":true},{"config":[0,1,1,2,2,0,0,0],"metric":true},{"config":[0,1,1,2,2,1,0,0],"metric":true},{"config":[0,1,1,2,2,2,0,0],"metric":true},{"config":[0,1,1,2,2,2,1,0],"metric":true},{"config":[0,1,2,2,2,0,0,0],"metric":true},{"config":[0,1,2,2,2,1,0,0],"metric":true},{"config":[0,1,2,2,2,1,1,0],"metric":true},{"config":[0,2,0,1,1,1,0,0],"metric":true},{"config":[0,2,0,1,1,2,0,0],"metric":true},{"config":[0,2,1,1,1,0,0,0],"metric":true},{"config":[0,2,1,1,1,2,0,0],"metric":true},{"config":[0,2,1,1,1,2,2,0],"metric":true},{"config":[0,2,2,1,1,0,0,0],"metric":true},{"config":[0,2,2,1,1,1,0,0],"metric":true},{"config":[0,2,2,1,1,1,2,0],"metric":true},{"config":[0,2,2,1,1,2,0,0],"metric":true},{"config":[0,2,2,2,1,0,0,0],"metric":true},{"config":[0,2,2,2,1,1,0,0],"metric":true},{"config":[0,2,2,2,1,1,1,0],"metric":true},{"config":[1,0,0,0,2,1,1,1],"metric":true},{"config":[1,0,0,0,2,2,1,1],"metric":true},{"config":[1,0,0,0,2,2,2,1],"metric":true},{"config":[1,0,0,2,2,0,1,1],"metric":true},{"config":[1,0,0,2,2,1,1,1],"metric":true},{"config":[1,0,0,2,2,2,0,1],"metric":true},{"config":[1,0,0,2,2,2,1,1],"metric":true},{"config":[1,0,1,2,2,0,1,1],"metric":true},{"config":[1,0,1,2,2,2,1,1],"metric":true},{"config":[1,0,2,2,2,0,0,1],"metric":true},{"config":[1,0,2,2,2,0,1,1],"metric":true},{"config":[1,0,2,2,2,1,1,1],"metric":true},{"config":[1,1,0,0,0,1,2,2],"metric":true},{"config":[1,1,0,0,0,2,2,1],"metric":true},{"config":[1,1,0,0,0,2,2,2],"metric":true},{"config":[1,1,0,0,2,0,0,1],"metric":true},{"config":[1,1,0,0,2,1,0,0],"metric":true},{"config":[1,1,0,0,2,2,0,0],"metric":true},{"config":[1,1,0,0,2,2,0,1],"metric":true},{"config":[1,1,0,0,2,2,2,1],"metric":true},{"config":[1,1,0,2,2,0,0,0],"metric":true},{"config":[1,1,0,2,2,0,0,1],"metric":true},{"config":[1,1,0,2,2,1,0,0],"metric":true},{"config":[1,1,0,2,2,2,0,0],"metric":true},{"config":[1,1,0,2,2,2,0,1],"metric":true},{"config":[1,1,1,0,0,0,2,2],"metric":true},{"config":[1,1,1,0,0,2,2,2],"metric":true},{"config":[1,1,1,2,2,0,0,0],"metric":true},{"config":[1,1,1,2,2,2,0,0],"metric":true},{"config":[1,1,2,0,0,0,2,1],"metric":true},{"config":[1,1,2,0,0,0,2,2],"metric":true},{"config":[1,1,2,0,0,1,2,2],"metric":true},{"config":[1,1,2,0,0,2,2,1],"metric":true},{"config":[1,1,2,0,0,2,2,2],"metric":true},{"config":[1,1,2,2,0,0,0,1],"metric":true},{"config":[1,1,2,2,0,0,2,1],"metric":true},{"config":[1,1,2,2,0,0,2,2],"metric":true},{"config":[1,1,2,2,0,1,2,2],"metric":true},{"config":[1,1,2,2,0,2,2,1],"metric":true},{"config":[1,1,2,2,2,0,0,0],"metric":true},{"config":[1,1,2,2,2,0,0,1],"metric":true},{"config":[1,1,2,2,2,1,0,0],"metric":true},{"config":[1,2,0,0,0,1,1,1],"metric":true},{"config":[1,2,0,0,0,2,1,1],"metric":true},{"config":[1,2,0,0,0,2,2,1],"metric":true},{"config":[1,2,1,0,0,0,1,1],"metric":true},{"config":[1,2,1,0,0,2,1,1],"metric":true},{"config":[1,2,2,0,0,0,1,1],"metric":true},{"config":[1,2,2,0,0,0,2,1],"metric":true},{"config":[1,2,2,0,0,1,1,1],"metric":true},{"config":[1,2,2,0,0,2,1,1],"metric":true},{"config":[1,2,2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{"problem":"CircuitSAT","variant":{},"instance":{"circuit":{"assignments":[{"expr":{"op":{"And":[{"op":{"Var":"x1"}},{"op":{"Var":"x2"}}]}},"outputs":["a"]},{"expr":{"op":{"Or":[{"op":{"Var":"x1"}},{"op":{"Var":"x2"}}]}},"outputs":["b"]},{"expr":{"op":{"Xor":[{"op":{"Var":"a"}},{"op":{"Var":"b"}}]}},"outputs":["c"]}]},"variables":["a","b","c","x1","x2"]},"samples":[{"config":[0,1,1,0,1],"metric":true},{"config":[0,1,1,1,0],"metric":true}],"optimal":[{"config":[0,0,0,0,0],"metric":true},{"config":[0,1,1,0,1],"metric":true},{"config":[0,1,1,1,0],"metric":true},{"config":[1,1,0,1,1],"metric":true}]}, {"problem":"ClosestVectorProblem","variant":{"weight":"i32"},"instance":{"basis":[[2,0],[1,2]],"bounds":[{"lower":-2,"upper":4},{"lower":-2,"upper":4}],"target":[2.8,1.5]},"samples":[{"config":[3,3],"metric":{"Valid":0.5385164807134505}}],"optimal":[{"config":[3,3],"metric":{"Valid":0.5385164807134505}}]}, + 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+ {"source":{"problem":"TravelingSalesman","variant":{"graph":"SimpleGraph","weight":"i32"},"instance":{"edge_weights":[1,2,3],"graph":{"inner":{"edge_property":"undirected","edges":[[0,1,null],[0,2,null],[1,2,null]],"node_holes":[],"nodes":[null,null,null]}}}},"target":{"problem":"QUBO","variant":{"weight":"f64"},"instance":{"matrix":[[-14.0,14.0,14.0,14.0,1.0,1.0,14.0,2.0,2.0],[0.0,-14.0,14.0,1.0,14.0,1.0,2.0,14.0,2.0],[0.0,0.0,-14.0,1.0,1.0,14.0,2.0,2.0,14.0],[0.0,0.0,0.0,-14.0,14.0,14.0,14.0,3.0,3.0],[0.0,0.0,0.0,0.0,-14.0,14.0,3.0,14.0,3.0],[0.0,0.0,0.0,0.0,0.0,-14.0,3.0,3.0,14.0],[0.0,0.0,0.0,0.0,0.0,0.0,-14.0,14.0,14.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,-14.0,14.0],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,-14.0]],"num_vars":9}},"solutions":[{"source_config":[1,1,1],"target_config":[0,0,1,0,1,0,1,0,0]}]} ] } diff --git a/src/lib.rs b/src/lib.rs index 42bc6c927..36bf9fc7a 100644 --- a/src/lib.rs +++ b/src/lib.rs @@ -57,8 +57,8 @@ pub mod prelude { UndirectedTwoCommodityIntegralFlow, }; pub use crate::models::misc::{ - BinPacking, Factoring, FlowShopScheduling, Knapsack, LongestCommonSubsequence, - MinimumTardinessSequencing, PaintShop, SequencingWithinIntervals, + BinPacking, CosineProductIntegration, Factoring, FlowShopScheduling, Knapsack, + LongestCommonSubsequence, MinimumTardinessSequencing, PaintShop, SequencingWithinIntervals, ShortestCommonSupersequence, SubsetSum, }; pub use crate::models::set::{ diff --git a/src/models/misc/cosine_product_integration.rs b/src/models/misc/cosine_product_integration.rs new file mode 100644 index 000000000..f79da1635 --- /dev/null +++ b/src/models/misc/cosine_product_integration.rs @@ -0,0 +1,157 @@ +//! Cosine Product Integration problem implementation. +//! +//! Given integer frequencies `a_1, ..., a_n`, determine whether +//! `integral_0^(2 pi) product_i cos(a_i theta) d theta != 0`. +//! +//! The integral is nonzero exactly when there is a sign assignment +//! `epsilon in {-1, +1}^n` with `sum epsilon_i a_i = 0`, so the implementation +//! checks the equivalent balanced-sum condition directly. + +use crate::registry::{FieldInfo, ProblemSchemaEntry}; +use crate::traits::{Problem, SatisfactionProblem}; +use serde::{Deserialize, Serialize}; +use std::collections::BTreeSet; + +inventory::submit! { + ProblemSchemaEntry { + name: "CosineProductIntegration", + display_name: "Cosine Product Integration", + aliases: &[], + dimensions: &[], + module_path: module_path!(), + description: "Decide whether a product of cosine terms has nonzero integral over [0, 2pi]", + fields: &[ + FieldInfo { + name: "coefficients", + type_name: "Vec", + description: "Integer cosine frequencies a_i", + }, + ], + } +} + +/// The Cosine Product Integration problem. +/// +/// Given integer coefficients `a_1, ..., a_n`, determine whether +/// `integral_0^(2 pi) product_i cos(a_i theta) d theta != 0`. +/// +/// # Representation +/// +/// Each configuration chooses signs for the coefficients: `0` means `+a_i`, +/// and `1` means `-a_i`. A configuration satisfies the problem exactly when +/// the resulting signed sum is zero, which is equivalent to the integral being +/// nonzero. +#[derive(Debug, Clone, Serialize, Deserialize)] +pub struct CosineProductIntegration { + coefficients: Vec, +} + +impl CosineProductIntegration { + /// Create a new CosineProductIntegration instance. + pub fn new(coefficients: Vec) -> Self { + Self { coefficients } + } + + /// Returns the cosine coefficients. + pub fn coefficients(&self) -> &[i64] { + &self.coefficients + } + + /// Returns the number of coefficients. + pub fn num_coefficients(&self) -> usize { + self.coefficients.len() + } + + /// Returns the signed sum induced by a sign assignment. + pub fn signed_sum(&self, sign_bits: &[usize]) -> Option { + if sign_bits.len() != self.num_coefficients() || sign_bits.iter().any(|&bit| bit > 1) { + return None; + } + + Some( + self.coefficients + .iter() + .zip(sign_bits.iter().copied()) + .map(|(&coefficient, bit)| { + if bit == 0 { + coefficient as i128 + } else { + -(coefficient as i128) + } + }) + .sum(), + ) + } + + /// Returns whether some sign assignment balances the coefficients. + pub fn has_balanced_sign_assignment(&self) -> bool { + let absolute_coefficients: Vec = self + .coefficients + .iter() + .map(|&coefficient| coefficient.unsigned_abs() as u128) + .collect(); + let total_absolute: u128 = absolute_coefficients.iter().copied().sum(); + + if total_absolute % 2 == 1 { + return false; + } + + let target = total_absolute / 2; + let mut reachable = BTreeSet::from([0_u128]); + + for coefficient in absolute_coefficients { + let next_sums: Vec = reachable + .iter() + .copied() + .filter_map(|sum| sum.checked_add(coefficient)) + .filter(|&sum| sum <= target && !reachable.contains(&sum)) + .collect(); + + if next_sums.contains(&target) { + return true; + } + + reachable.extend(next_sums); + } + + reachable.contains(&target) + } +} + +impl Problem for CosineProductIntegration { + const NAME: &'static str = "CosineProductIntegration"; + type Metric = bool; + + fn variant() -> Vec<(&'static str, &'static str)> { + crate::variant_params![] + } + + fn dims(&self) -> Vec { + vec![2; self.num_coefficients()] + } + + fn evaluate(&self, config: &[usize]) -> bool { + self.signed_sum(config) == Some(0) + } +} + +impl SatisfactionProblem for CosineProductIntegration {} + +crate::declare_variants! { + default sat CosineProductIntegration => "2^(num_coefficients / 2)", +} + +#[cfg(feature = "example-db")] +pub(crate) fn canonical_model_example_specs() -> Vec { + vec![crate::example_db::specs::ModelExampleSpec { + id: "cosine_product_integration", + build: || { + let problem = CosineProductIntegration::new(vec![2, 3, 5]); + crate::example_db::specs::satisfaction_example(problem, vec![vec![0, 0, 1]]) + }, + }] +} + +#[cfg(test)] +#[path = "../../unit_tests/models/misc/cosine_product_integration.rs"] +mod tests; diff --git a/src/models/misc/mod.rs b/src/models/misc/mod.rs index c4b125274..a1ab48b25 100644 --- a/src/models/misc/mod.rs +++ b/src/models/misc/mod.rs @@ -2,6 +2,7 @@ //! //! Problems with unique input structures that don't fit other categories: //! - [`BinPacking`]: Bin Packing (minimize bins) +//! - [`CosineProductIntegration`]: Decide whether a cosine product integral equals zero //! - [`Factoring`]: Integer factorization //! - [`FlowShopScheduling`]: Flow Shop Scheduling (meet deadline on m processors) //! - [`Knapsack`]: 0-1 Knapsack (maximize value subject to weight capacity) @@ -13,6 +14,7 @@ //! - [`SubsetSum`]: Find a subset summing to exactly a target value mod bin_packing; +mod cosine_product_integration; pub(crate) mod factoring; mod flow_shop_scheduling; mod knapsack; @@ -24,6 +26,7 @@ pub(crate) mod shortest_common_supersequence; mod subset_sum; pub use bin_packing::BinPacking; +pub use cosine_product_integration::CosineProductIntegration; pub use factoring::Factoring; pub use flow_shop_scheduling::FlowShopScheduling; pub use knapsack::Knapsack; @@ -37,6 +40,7 @@ pub use subset_sum::SubsetSum; #[cfg(feature = "example-db")] pub(crate) fn canonical_model_example_specs() -> Vec { let mut specs = Vec::new(); + specs.extend(cosine_product_integration::canonical_model_example_specs()); specs.extend(factoring::canonical_model_example_specs()); specs.extend(paintshop::canonical_model_example_specs()); specs.extend(sequencing_within_intervals::canonical_model_example_specs()); diff --git a/src/models/mod.rs b/src/models/mod.rs index 072034f02..824aa6237 100644 --- a/src/models/mod.rs +++ b/src/models/mod.rs @@ -21,8 +21,8 @@ pub use graph::{ TravelingSalesman, UndirectedTwoCommodityIntegralFlow, }; pub use misc::{ - BinPacking, Factoring, FlowShopScheduling, Knapsack, LongestCommonSubsequence, - MinimumTardinessSequencing, PaintShop, SequencingWithinIntervals, ShortestCommonSupersequence, - SubsetSum, + BinPacking, CosineProductIntegration, Factoring, FlowShopScheduling, Knapsack, + LongestCommonSubsequence, MinimumTardinessSequencing, PaintShop, SequencingWithinIntervals, + ShortestCommonSupersequence, SubsetSum, }; pub use set::{ExactCoverBy3Sets, MaximumSetPacking, MinimumSetCovering, SetBasis}; diff --git a/src/unit_tests/models/misc/cosine_product_integration.rs b/src/unit_tests/models/misc/cosine_product_integration.rs new file mode 100644 index 000000000..fa611054e --- /dev/null +++ b/src/unit_tests/models/misc/cosine_product_integration.rs @@ -0,0 +1,114 @@ +use super::*; +use crate::solvers::{BruteForce, Solver}; +use crate::traits::Problem; + +#[test] +fn test_cosine_product_integration_creation() { + let problem = CosineProductIntegration::new(vec![2, 3, 5]); + assert_eq!(problem.coefficients(), &[2, 3, 5]); + assert_eq!(problem.num_coefficients(), 3); + assert_eq!(problem.dims(), vec![2, 2, 2]); + assert_eq!( + ::NAME, + "CosineProductIntegration" + ); + assert!(::variant().is_empty()); +} + +#[test] +fn test_cosine_product_integration_signed_sum_and_evaluate() { + let problem = CosineProductIntegration::new(vec![2, 3, 5]); + assert_eq!(problem.signed_sum(&[0, 0, 1]), Some(0)); + assert_eq!(problem.signed_sum(&[1, 1, 0]), Some(0)); + assert_eq!(problem.signed_sum(&[0, 1, 0]), Some(4)); + assert_eq!(problem.signed_sum(&[0, 0]), None); + assert_eq!(problem.signed_sum(&[0, 2, 0]), None); + assert!(problem.has_balanced_sign_assignment()); + assert!(problem.evaluate(&[0, 0, 1])); + assert!(problem.evaluate(&[1, 1, 0])); + assert!(!problem.evaluate(&[0, 1, 0])); +} + +#[test] +fn test_cosine_product_integration_unsatisfiable_instances() { + let odd_total = CosineProductIntegration::new(vec![1, 2, 6]); + let even_total = CosineProductIntegration::new(vec![1, 2, 5, 10]); + let solver = BruteForce::new(); + + assert!(!odd_total.has_balanced_sign_assignment()); + assert_eq!(solver.find_satisfying(&odd_total), None); + + assert!(!even_total.has_balanced_sign_assignment()); + assert_eq!(solver.find_satisfying(&even_total), None); +} + +#[test] +fn test_cosine_product_integration_solver_behavior() { + let problem = CosineProductIntegration::new(vec![2, 3, 5]); + let solver = BruteForce::new(); + + assert_eq!(solver.find_satisfying(&problem), Some(vec![0, 0, 1])); + + let mut solutions = solver.find_all_satisfying(&problem); + solutions.sort(); + assert_eq!(solutions, vec![vec![0, 0, 1], vec![1, 1, 0]]); +} + +#[test] +fn test_cosine_product_integration_empty_instance() { + let problem = CosineProductIntegration::new(vec![]); + let solver = BruteForce::new(); + + assert!(problem.has_balanced_sign_assignment()); + assert_eq!(problem.dims(), Vec::::new()); + assert!(problem.evaluate(&[])); + assert_eq!( + solver.find_all_satisfying(&problem), + vec![Vec::::new()] + ); +} + +#[test] +fn test_cosine_product_integration_zero_coefficients() { + let problem = CosineProductIntegration::new(vec![0, 0, 0]); + let solver = BruteForce::new(); + + assert!(problem.has_balanced_sign_assignment()); + assert!(problem.evaluate(&[0, 1, 0])); + assert_eq!(solver.find_all_satisfying(&problem).len(), 8); +} + +#[test] +fn test_cosine_product_integration_negative_coefficients() { + let problem = CosineProductIntegration::new(vec![-2, 3, -5]); + + assert!(problem.has_balanced_sign_assignment()); + assert_eq!(problem.signed_sum(&[1, 0, 0]), Some(0)); + assert!(problem.evaluate(&[1, 0, 0])); +} + +#[test] +fn test_cosine_product_integration_serialization() { + let problem = CosineProductIntegration::new(vec![2, 3, 5]); + let json = serde_json::to_value(&problem).unwrap(); + assert_eq!( + json, + serde_json::json!({ + "coefficients": [2, 3, 5], + }) + ); + + let restored: CosineProductIntegration = serde_json::from_value(json).unwrap(); + assert_eq!(restored.coefficients(), problem.coefficients()); +} + +#[test] +fn test_cosine_product_integration_paper_example() { + let problem = CosineProductIntegration::new(vec![2, 3, 5]); + let mut solutions = BruteForce::new().find_all_satisfying(&problem); + + assert!(problem.evaluate(&[0, 0, 1])); + + solutions.sort(); + assert_eq!(solutions, vec![vec![0, 0, 1], vec![1, 1, 0]]); +} From 7364c533c6108c329e417e6c50bbd44ad663ce5b Mon Sep 17 00:00:00 2001 From: GiggleLiu Date: Tue, 17 Mar 2026 03:03:41 +0800 Subject: [PATCH 3/5] Remove plan for #548 --- .../2026-03-17-cosine-product-integration.md | 198 ------------------ 1 file changed, 198 deletions(-) delete mode 100644 docs/plans/2026-03-17-cosine-product-integration.md diff --git a/docs/plans/2026-03-17-cosine-product-integration.md b/docs/plans/2026-03-17-cosine-product-integration.md deleted file mode 100644 index 5e422f691..000000000 --- a/docs/plans/2026-03-17-cosine-product-integration.md +++ /dev/null @@ -1,198 +0,0 @@ -# CosineProductIntegration Implementation Plan - -> **For Claude:** REQUIRED SUB-SKILL: Use superpowers:executing-plans to implement this plan task-by-task. - -**Goal:** Add the `CosineProductIntegration` model, CLI creation support, canonical examples, tests, and paper documentation for GitHub issue #548. - -**Architecture:** Implement `CosineProductIntegration` as a witness-free satisfaction problem in `src/models/misc/`: `dims()` returns `[]`, and `evaluate([])` decides whether the cosine product integral over `[0, 2pi]` is zero by checking whether the coefficient multiset admits any balanced sign assignment. Use a subset-sum style reachability check over absolute coefficient values so the code matches the issue's YES/NO examples without performing numeric integration. Call out in comments / PR summary that this is a complement-style problem, so future reductions into this model require extra review. - -**Tech Stack:** Rust library + CLI (`clap`), serde/inventory registry metadata, Typst paper docs, existing brute-force/example-db infrastructure. - ---- - -## Batch 1: Model, Registry, CLI, Examples, Tests - -### Task 1: Add the failing model tests first - -**Files:** -- Create: `src/unit_tests/models/misc/cosine_product_integration.rs` -- Reference: `src/unit_tests/models/misc/subset_sum.rs` -- Reference: `src/unit_tests/solvers/brute_force.rs` - -**Step 1: Write the failing tests** - -Add tests that pin down the required semantics before any production code: -- creation/accessor test for `coefficients()` and `num_coefficients()` -- evaluation test for the issue's NO example `(2, 3, 5)` expecting `evaluate(&[]) == false` -- evaluation test for the issue's YES example `(1, 2, 6)` expecting `evaluate(&[]) == true` -- solver test showing `BruteForce::find_satisfying()` returns `Some(vec![])` exactly when the integral is zero -- serialization round-trip test for `{"coefficients":[2,3,5]}` -- edge-case test for empty input and/or zero coefficients - -**Step 2: Run the targeted test command and confirm RED** - -Run: `cargo test cosine_product_integration --lib` - -Expected: compile failure because the model module does not exist yet. - -**Step 3: Commit the test-first checkpoint once the file exists and fails for the right reason** - -Run after the failing state is confirmed: -`git add src/unit_tests/models/misc/cosine_product_integration.rs` - -Do not commit yet if later tasks are still in progress on the same red-green cycle. - -### Task 2: Implement the model and register it - -**Files:** -- Create: `src/models/misc/cosine_product_integration.rs` -- Modify: `src/models/misc/mod.rs` -- Modify: `src/models/mod.rs` -- Modify: `src/lib.rs` - -**Step 1: Implement the new model file** - -Build `CosineProductIntegration` with: -- `ProblemSchemaEntry` metadata (`display_name`, empty aliases, one `coefficients: Vec` field) -- struct definition + constructor + accessors -- `num_coefficients()` getter for `declare_variants!` -- helper that decides whether a balanced sign assignment exists by reducing to subset-sum over absolute values -- `Problem` impl with `type Metric = bool`, `variant_params![]`, `dims() == vec![]`, and `evaluate(config)` accepting only `[]` -- `SatisfactionProblem` impl -- `declare_variants! { default sat CosineProductIntegration => "2^(num_coefficients / 2)" }` -- `#[cfg(test)]` link to the new unit-test file - -**Step 2: Register the model in module exports** - -Update: -- `src/models/misc/mod.rs` -- `src/models/mod.rs` -- `src/lib.rs` prelude export list - -Also add one-line module docs in `src/models/misc/mod.rs` so the new problem appears in the misc catalog comment. - -**Step 3: Run the targeted tests and confirm GREEN** - -Run: `cargo test cosine_product_integration --lib` - -Expected: the new tests compile and pass. - -### Task 3: Add CLI creation support - -**Files:** -- Modify: `problemreductions-cli/src/cli.rs` -- Modify: `problemreductions-cli/src/commands/create.rs` - -**Step 1: Add a dedicated `--coefficients` create flag** - -Extend `CreateArgs` with `coefficients: Option`, include it in `all_data_flags_empty()`, and document it in the create-command `after_help` problem table. - -**Step 2: Add `pred create CosineProductIntegration` support** - -In `problemreductions-cli/src/commands/create.rs`: -- import the new model type -- add an example string for help output -- parse `--coefficients` as `Vec` -- construct `CosineProductIntegration::new(coefficients)` -- emit clear usage text, e.g. `pred create CosineProductIntegration --coefficients 1,2,6` - -**Step 3: Add a CLI-focused regression test if an existing create-command test file is the right home** - -If there is already coverage for `pred create` model construction in the CLI test suite, add one targeted case there; otherwise rely on schema-driven help + serde round-trip from the model/unit layer. - -**Step 4: Run the targeted CLI command locally** - -Run: -`cargo run -p problemreductions-cli -- create CosineProductIntegration --coefficients 1,2,6` - -Expected: JSON output for the new model with `problem_type = "CosineProductIntegration"`. - -### Task 4: Add canonical example-db coverage - -**Files:** -- Modify: `src/models/misc/cosine_product_integration.rs` -- Modify: `src/models/misc/mod.rs` - -**Step 1: Add a canonical example spec under the model file** - -Use the issue's YES instance `(1, 2, 6)` so the canonical satisfying config is `[]` and the exported example stays consistent with the witness-free representation. - -**Step 2: Register the canonical example** - -Extend `src/models/misc/mod.rs::canonical_model_example_specs()` to include the new model's example spec. - -**Step 3: Run the relevant example-db tests** - -Run: -- `cargo test cosine_product_integration --lib` -- `cargo test example_db --lib` - -Expected: both pass. - -## Batch 2: Paper Entry and Final Verification - -### Task 5: Document the model in the Typst paper - -**Files:** -- Modify: `docs/paper/reductions.typ` -- Modify: `src/unit_tests/models/misc/cosine_product_integration.rs` - -**Step 1: Add the paper display name entry** - -Register `"CosineProductIntegration": [Cosine Product Integration],` in the `display-name` dictionary. - -**Step 2: Add `problem-def("CosineProductIntegration")`** - -Document: -- the formal integral-zero decision problem -- the equivalence to the absence of a balanced sign assignment / partition -- the weak-NP-hard / pseudo-polynomial caveat carefully, without repeating the issue's incorrect NP-complete phrasing unless it is independently justified -- the worked YES/NO examples from the issue, phrased in terms of sign sums rather than numeric quadrature - -**Step 3: Add the paper-example regression test** - -Extend `src/unit_tests/models/misc/cosine_product_integration.rs` with a `test_cosine_product_integration_paper_example` that uses the same instance/answer stated in the Typst entry. - -**Step 4: Build the paper and confirm GREEN** - -Run: -- `make paper` -- `cargo test cosine_product_integration --lib` - -Expected: Typst compiles and the paper example test passes. - -### Task 6: Full verification, review, PR summary, and cleanup - -**Files:** -- Modify as needed: any files touched above - -**Step 1: Run repository verification** - -Run: -- `make test` -- `make clippy` - -If any command fails, fix the code before moving on. - -**Step 2: Run implementation review** - -Run the repo-local review workflow equivalent to `.claude/skills/review-implementation/SKILL.md` and fix any structural or quality findings before committing. - -**Step 3: Commit the implementation** - -Create logical commits after the code is green: -- implementation/tests/example-db/CLI -- paper/docs if it is easier to review separately - -**Step 4: Remove this plan file before the final push** - -Run: -- `git rm docs/plans/2026-03-17-cosine-product-integration.md` -- commit the cleanup - -**Step 5: Push, post the PR implementation summary, and request Copilot review** - -Before pushing, include in the PR comment: -- the witness-free evaluation design choice -- the corrected Schroeppel-Shamir citation detail (10(3), not 10(4)) if it appears in the paper/PR -- the open caution that reductions into this model need complement-orientation review From 5cc24ce0e001aa3f5830fdcc03831bee6260d72a Mon Sep 17 00:00:00 2001 From: GiggleLiu Date: Tue, 17 Mar 2026 06:16:56 +0800 Subject: [PATCH 4/5] Review PR #684: tighten CosineProductIntegration docs and tests --- docs/src/cli.md | 13 ++- problemreductions-cli/src/cli.rs | 4 +- problemreductions-cli/tests/cli_tests.rs | 80 +++++++++++++++++++ src/models/misc/mod.rs | 2 +- .../models/misc/cosine_product_integration.rs | 15 +--- 5 files changed, 99 insertions(+), 15 deletions(-) diff --git a/docs/src/cli.md b/docs/src/cli.md index 5c595e905..4334f1872 100644 --- a/docs/src/cli.md +++ b/docs/src/cli.md @@ -296,6 +296,7 @@ pred create UndirectedTwoCommodityIntegralFlow --graph 0-2,1-2,2-3 --capacities pred create LengthBoundedDisjointPaths --graph 0-1,1-6,0-2,2-3,3-6,0-4,4-5,5-6 --source 0 --sink 6 --num-paths-required 2 --bound 3 -o lbdp.json pred create Factoring --target 15 --bits-m 4 --bits-n 4 -o factoring.json pred create Factoring --target 21 --bits-m 3 --bits-n 3 -o factoring2.json +pred create CosineProductIntegration --coefficients 2,3,5 -o cpi.json pred create X3C --universe 9 --sets "0,1,2;0,2,4;3,4,5;3,5,7;6,7,8;1,4,6;2,5,8" -o x3c.json pred create MinimumTardinessSequencing --n 5 --deadlines 5,5,5,3,3 --precedence-pairs "0>3,1>3,1>4,2>4" -o mts.json ``` @@ -447,6 +448,14 @@ Solution: [1, 0, 0, 1] Evaluation: Valid(2) ``` +Some models do not yet have an ILP reduction path. For example, `CosineProductIntegration` +currently needs brute force: + +```bash +pred create CosineProductIntegration --coefficients 2,3,5 -o cpi.json +pred solve cpi.json --solver brute-force +``` + Solve a reduction bundle (from `pred reduce`): ```bash @@ -483,7 +492,7 @@ If the shell argument is omitted, `pred completions` auto-detects your current s ## JSON Output -All commands support `-o` to write JSON to a file and `--json` to print JSON to stdout: +Successful data-producing commands support `-o` to write JSON to a file and `--json` to print JSON to stdout: ```bash pred list -o problems.json # save to file @@ -493,6 +502,8 @@ pred path MIS QUBO --json pred solve problem.json --json ``` +Errors are still reported as plain text on stderr, even when `--json` is set. + This is useful for scripting and piping: ```bash diff --git a/problemreductions-cli/src/cli.rs b/problemreductions-cli/src/cli.rs index 64da3220d..f84d3227c 100644 --- a/problemreductions-cli/src/cli.rs +++ b/problemreductions-cli/src/cli.rs @@ -17,10 +17,12 @@ Piping (use - to read from stdin): pred create MIS --graph 0-1,1-2 | pred evaluate - --config 1,0,1 pred create MIS --graph 0-1,1-2 | pred reduce - --to QUBO -JSON output (any command): +JSON output (successful commands): pred list --json # JSON to stdout pred show MIS --json | jq '.' # pipe to jq +Errors are reported on stderr as text, even when `--json` is set. + Use `pred --help` for detailed usage of each command. Use `pred list` to see all available problem types. diff --git a/problemreductions-cli/tests/cli_tests.rs b/problemreductions-cli/tests/cli_tests.rs index 9c35fd001..0b4f6f945 100644 --- a/problemreductions-cli/tests/cli_tests.rs +++ b/problemreductions-cli/tests/cli_tests.rs @@ -4068,6 +4068,86 @@ fn test_create_factoring_missing_bits() { ); } +// ---- CosineProductIntegration create tests ---- + +#[test] +fn test_create_cosine_product_integration() { + let output = pred() + .args([ + "create", + "CosineProductIntegration", + "--coefficients", + "2,3,5", + ]) + .output() + .unwrap(); + assert!( + output.status.success(), + "stderr: {}", + String::from_utf8_lossy(&output.stderr) + ); + let stdout = String::from_utf8(output.stdout).unwrap(); + let json: serde_json::Value = serde_json::from_str(&stdout).unwrap(); + assert_eq!(json["type"], "CosineProductIntegration"); + assert_eq!(json["data"]["coefficients"], serde_json::json!([2, 3, 5])); +} + +#[test] +fn test_create_cosine_product_integration_no_flags_shows_help() { + let output = pred() + .args(["create", "CosineProductIntegration"]) + .output() + .unwrap(); + assert!( + !output.status.success(), + "should exit non-zero when showing help without data flags" + ); + let stderr = String::from_utf8_lossy(&output.stderr); + assert!( + stderr.contains("--coefficients"), + "expected '--coefficients' in help output, got: {stderr}" + ); + assert!( + stderr.contains("pred create CosineProductIntegration --coefficients 2,3,5"), + "expected cosine-product example in help output, got: {stderr}" + ); +} + +#[test] +fn test_create_cosine_product_integration_missing_coefficients() { + let output = pred() + .args(["create", "CosineProductIntegration", "--target", "15"]) + .output() + .unwrap(); + assert!(!output.status.success()); + let stderr = String::from_utf8_lossy(&output.stderr); + assert!( + stderr.contains("CosineProductIntegration requires --coefficients"), + "expected missing-coefficients error, got: {stderr}" + ); + assert!( + stderr.contains("pred create CosineProductIntegration --coefficients 2,3,5"), + "expected usage example in error output, got: {stderr}" + ); +} + +#[test] +fn test_create_model_example_cosine_product_integration() { + let output = pred() + .args(["create", "--example", "CosineProductIntegration"]) + .output() + .unwrap(); + assert!( + output.status.success(), + "stderr: {}", + String::from_utf8_lossy(&output.stderr) + ); + let stdout = String::from_utf8(output.stdout).unwrap(); + let json: serde_json::Value = serde_json::from_str(&stdout).unwrap(); + assert_eq!(json["type"], "CosineProductIntegration"); + assert_eq!(json["data"]["coefficients"], serde_json::json!([2, 3, 5])); +} + // ---- Timeout tests (H3) ---- #[test] diff --git a/src/models/misc/mod.rs b/src/models/misc/mod.rs index a1ab48b25..99654cf44 100644 --- a/src/models/misc/mod.rs +++ b/src/models/misc/mod.rs @@ -2,7 +2,7 @@ //! //! Problems with unique input structures that don't fit other categories: //! - [`BinPacking`]: Bin Packing (minimize bins) -//! - [`CosineProductIntegration`]: Decide whether a cosine product integral equals zero +//! - [`CosineProductIntegration`]: Decide whether a cosine product integral is nonzero //! - [`Factoring`]: Integer factorization //! - [`FlowShopScheduling`]: Flow Shop Scheduling (meet deadline on m processors) //! - [`Knapsack`]: 0-1 Knapsack (maximize value subject to weight capacity) diff --git a/src/unit_tests/models/misc/cosine_product_integration.rs b/src/unit_tests/models/misc/cosine_product_integration.rs index fa611054e..bda767a69 100644 --- a/src/unit_tests/models/misc/cosine_product_integration.rs +++ b/src/unit_tests/models/misc/cosine_product_integration.rs @@ -47,7 +47,9 @@ fn test_cosine_product_integration_solver_behavior() { let problem = CosineProductIntegration::new(vec![2, 3, 5]); let solver = BruteForce::new(); - assert_eq!(solver.find_satisfying(&problem), Some(vec![0, 0, 1])); + let solution = solver.find_satisfying(&problem).unwrap(); + assert!(problem.evaluate(&solution)); + assert!(solution == vec![0, 0, 1] || solution == vec![1, 1, 0]); let mut solutions = solver.find_all_satisfying(&problem); solutions.sort(); @@ -101,14 +103,3 @@ fn test_cosine_product_integration_serialization() { let restored: CosineProductIntegration = serde_json::from_value(json).unwrap(); assert_eq!(restored.coefficients(), problem.coefficients()); } - -#[test] -fn test_cosine_product_integration_paper_example() { - let problem = CosineProductIntegration::new(vec![2, 3, 5]); - let mut solutions = BruteForce::new().find_all_satisfying(&problem); - - assert!(problem.evaluate(&[0, 0, 1])); - - solutions.sort(); - assert_eq!(solutions, vec![vec![0, 0, 1], vec![1, 1, 0]]); -} From d2aa0f786a1685f567616ed9b5af9ec09bcb2daa Mon Sep 17 00:00:00 2001 From: Xiwei Pan Date: Wed, 18 Mar 2026 16:54:00 +0800 Subject: [PATCH 5/5] Remove unused has_balanced_sign_assignment DP helper The pseudo-polynomial DP method was only called from tests, not from evaluate or any solver path. This repo focuses on reductions, not efficient solvers. Co-Authored-By: Claude Opus 4.6 (1M context) --- src/models/misc/cosine_product_integration.rs | 34 ------------------- .../models/misc/cosine_product_integration.rs | 6 ---- 2 files changed, 40 deletions(-) diff --git a/src/models/misc/cosine_product_integration.rs b/src/models/misc/cosine_product_integration.rs index f79da1635..7efa16c51 100644 --- a/src/models/misc/cosine_product_integration.rs +++ b/src/models/misc/cosine_product_integration.rs @@ -10,7 +10,6 @@ use crate::registry::{FieldInfo, ProblemSchemaEntry}; use crate::traits::{Problem, SatisfactionProblem}; use serde::{Deserialize, Serialize}; -use std::collections::BTreeSet; inventory::submit! { ProblemSchemaEntry { @@ -83,39 +82,6 @@ impl CosineProductIntegration { ) } - /// Returns whether some sign assignment balances the coefficients. - pub fn has_balanced_sign_assignment(&self) -> bool { - let absolute_coefficients: Vec = self - .coefficients - .iter() - .map(|&coefficient| coefficient.unsigned_abs() as u128) - .collect(); - let total_absolute: u128 = absolute_coefficients.iter().copied().sum(); - - if total_absolute % 2 == 1 { - return false; - } - - let target = total_absolute / 2; - let mut reachable = BTreeSet::from([0_u128]); - - for coefficient in absolute_coefficients { - let next_sums: Vec = reachable - .iter() - .copied() - .filter_map(|sum| sum.checked_add(coefficient)) - .filter(|&sum| sum <= target && !reachable.contains(&sum)) - .collect(); - - if next_sums.contains(&target) { - return true; - } - - reachable.extend(next_sums); - } - - reachable.contains(&target) - } } impl Problem for CosineProductIntegration { diff --git a/src/unit_tests/models/misc/cosine_product_integration.rs b/src/unit_tests/models/misc/cosine_product_integration.rs index bda767a69..c9947b0ce 100644 --- a/src/unit_tests/models/misc/cosine_product_integration.rs +++ b/src/unit_tests/models/misc/cosine_product_integration.rs @@ -23,7 +23,6 @@ fn test_cosine_product_integration_signed_sum_and_evaluate() { assert_eq!(problem.signed_sum(&[0, 1, 0]), Some(4)); assert_eq!(problem.signed_sum(&[0, 0]), None); assert_eq!(problem.signed_sum(&[0, 2, 0]), None); - assert!(problem.has_balanced_sign_assignment()); assert!(problem.evaluate(&[0, 0, 1])); assert!(problem.evaluate(&[1, 1, 0])); assert!(!problem.evaluate(&[0, 1, 0])); @@ -35,10 +34,8 @@ fn test_cosine_product_integration_unsatisfiable_instances() { let even_total = CosineProductIntegration::new(vec![1, 2, 5, 10]); let solver = BruteForce::new(); - assert!(!odd_total.has_balanced_sign_assignment()); assert_eq!(solver.find_satisfying(&odd_total), None); - assert!(!even_total.has_balanced_sign_assignment()); assert_eq!(solver.find_satisfying(&even_total), None); } @@ -61,7 +58,6 @@ fn test_cosine_product_integration_empty_instance() { let problem = CosineProductIntegration::new(vec![]); let solver = BruteForce::new(); - assert!(problem.has_balanced_sign_assignment()); assert_eq!(problem.dims(), Vec::::new()); assert!(problem.evaluate(&[])); assert_eq!( @@ -75,7 +71,6 @@ fn test_cosine_product_integration_zero_coefficients() { let problem = CosineProductIntegration::new(vec![0, 0, 0]); let solver = BruteForce::new(); - assert!(problem.has_balanced_sign_assignment()); assert!(problem.evaluate(&[0, 1, 0])); assert_eq!(solver.find_all_satisfying(&problem).len(), 8); } @@ -84,7 +79,6 @@ fn test_cosine_product_integration_zero_coefficients() { fn test_cosine_product_integration_negative_coefficients() { let problem = CosineProductIntegration::new(vec![-2, 3, -5]); - assert!(problem.has_balanced_sign_assignment()); assert_eq!(problem.signed_sum(&[1, 0, 0]), Some(0)); assert!(problem.evaluate(&[1, 0, 0])); }