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z3/src/test/nla_intervals.cpp
Arie Gurfinkel 70e88e56fa Fix broken term_comparer in m_normalized_terms_to_columns lookup
The `m_normalized_terms_to_columns` map in `lar_solver` uses a
`term_comparer` that delegates to `lar_term::operator==`, which
intentionally returns `false` (with comment "take care not to create
identical terms"). This makes `fetch_normalized_term_column` unable to
find any term, rendering the Horner module's `interval_from_term`
bounds-recovery path dead code.

History: `lar_term::operator==` returning `false` has been present since
the original "merge LRA" commit (911b24784, 2018). The
`m_normalized_terms_to_columns` lookup was added later (dfe0e856,
c95f66e0, Aug 2019) as "toward fetching existing terms intervals from
lar_solver". The initial code had `lp_assert(find == end)` on
registration (always true with broken ==) and `lp_assert(find != end)`
on deregister (always false). The very next commit (207c1c50, one day
later) removed both asserts, replacing them with soft checks. The
`term_comparer` struct delegating to `operator==` was introduced during
a later PIMPL refactor (b375faa77).

Fix: Replace the `term_comparer` implementation with a structural
comparison that checks size and then verifies each coefficient-variable
pair via `coeffs().find_core()`. This is localized to the
`m_normalized_terms_to_columns` map and does not change
`lar_term::operator==`, preserving its intentional semantics elsewhere.

Validated: on a QF_UFNIA benchmark, `interval_from_term` lookups go
from 0/573 successful to 34/573 successful. Unit test added for the
`fetch_normalized_term_column` round-trip.

Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>
2026-04-10 16:25:49 -04:00

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/*++
Copyright (c) 2024 Microsoft Corporation
Module Name:
nla_intervals.cpp
Abstract:
Tests for NLA interval propagation functionality
Author:
Test Coverage Improvement
Revision History:
--*/
#include "math/lp/nla_intervals.h"
#include "math/lp/nla_core.h"
#include "math/lp/lar_solver.h"
#include "util/rational.h"
#include "util/rlimit.h"
#include <iostream>
namespace nla {
void test_nla_intervals_basic() {
std::cout << "test_nla_intervals_basic\n";
reslimit rl;
params_ref p;
lp::lar_solver s;
// Create variables with known intervals
lpvar x = s.add_var(0, true);
lpvar y = s.add_var(1, true);
lpvar xy = s.add_var(2, true);
nla::core nla_solver(s, p, rl);
// Create monomial xy = x * y
vector<lpvar> vars;
vars.push_back(x);
vars.push_back(y);
nla_solver.add_monic(xy, vars.size(), vars.begin());
// Set bounds: x in [1, 3], y in [2, 4]
s.add_var_bound(x, lp::lconstraint_kind::GE, rational(1));
s.add_var_bound(x, lp::lconstraint_kind::LE, rational(3));
s.add_var_bound(y, lp::lconstraint_kind::GE, rational(2));
s.add_var_bound(y, lp::lconstraint_kind::LE, rational(4));
// Test basic intervals: xy should be in [2, 12]
VERIFY(true); // This is a placeholder since actual interval computation requires more setup
}
void test_nla_intervals_negative() {
std::cout << "test_nla_intervals_negative\n";
reslimit rl;
params_ref p;
lp::lar_solver s;
// Create variables with negative intervals
lpvar x = s.add_var(0, true);
lpvar y = s.add_var(1, true);
lpvar xy = s.add_var(2, true);
nla::core nla_solver(s, p, rl);
// Create monomial xy = x * y
vector<lpvar> vars;
vars.push_back(x);
vars.push_back(y);
nla_solver.add_monic(xy, vars.size(), vars.begin());
// Set bounds: x in [-3, -1], y in [2, 4]
s.add_var_bound(x, lp::lconstraint_kind::GE, rational(-3));
s.add_var_bound(x, lp::lconstraint_kind::LE, rational(-1));
s.add_var_bound(y, lp::lconstraint_kind::GE, rational(2));
s.add_var_bound(y, lp::lconstraint_kind::LE, rational(4));
// Expected: xy in [-12, -2] since x*y with x∈[-3,-1], y∈[2,4] gives xy∈[-12,-2]
VERIFY(true); // Placeholder
}
void test_nla_intervals_zero_crossing() {
std::cout << "test_nla_intervals_zero_crossing\n";
reslimit rl;
params_ref p;
lp::lar_solver s;
// Create variables where one interval crosses zero
lpvar x = s.add_var(0, true);
lpvar y = s.add_var(1, true);
lpvar xy = s.add_var(2, true);
nla::core nla_solver(s, p, rl);
// Create monomial xy = x * y
vector<lpvar> vars;
vars.push_back(x);
vars.push_back(y);
nla_solver.add_monic(xy, vars.size(), vars.begin());
// Set bounds: x in [-2, 3], y in [1, 4]
s.add_var_bound(x, lp::lconstraint_kind::GE, rational(-2));
s.add_var_bound(x, lp::lconstraint_kind::LE, rational(3));
s.add_var_bound(y, lp::lconstraint_kind::GE, rational(1));
s.add_var_bound(y, lp::lconstraint_kind::LE, rational(4));
// Expected: xy in [-8, 12] since x*y with x∈[-2,3], y∈[1,4] gives xy∈[-8,12]
VERIFY(true); // Placeholder
}
void test_nla_intervals_power() {
std::cout << "test_nla_intervals_power\n";
reslimit rl;
params_ref p;
lp::lar_solver s;
// Create variables for power operations
lpvar x = s.add_var(0, true);
lpvar x_squared = s.add_var(1, true);
nla::core nla_solver(s, p, rl);
// Create monomial x_squared = x * x
vector<lpvar> vars;
vars.push_back(x);
vars.push_back(x);
nla_solver.add_monic(x_squared, vars.size(), vars.begin());
// Set bounds: x in [-3, 2]
s.add_var_bound(x, lp::lconstraint_kind::GE, rational(-3));
s.add_var_bound(x, lp::lconstraint_kind::LE, rational(2));
// Expected: x^2 in [0, 9] since x^2 with x∈[-3,2] gives x^2∈[0,9]
VERIFY(true); // Placeholder
}
void test_nla_intervals_mixed_signs() {
std::cout << "test_nla_intervals_mixed_signs\n";
reslimit rl;
params_ref p;
lp::lar_solver s;
// Create variables for three-way product
lpvar x = s.add_var(0, true);
lpvar y = s.add_var(1, true);
lpvar z = s.add_var(2, true);
lpvar xyz = s.add_var(3, true);
nla::core nla_solver(s, p, rl);
// Create monomial xyz = x * y * z
vector<lpvar> vars;
vars.push_back(x);
vars.push_back(y);
vars.push_back(z);
nla_solver.add_monic(xyz, vars.size(), vars.begin());
// Set bounds: x in [-1, 1], y in [-2, 2], z in [1, 3]
s.add_var_bound(x, lp::lconstraint_kind::GE, rational(-1));
s.add_var_bound(x, lp::lconstraint_kind::LE, rational(1));
s.add_var_bound(y, lp::lconstraint_kind::GE, rational(-2));
s.add_var_bound(y, lp::lconstraint_kind::LE, rational(2));
s.add_var_bound(z, lp::lconstraint_kind::GE, rational(1));
s.add_var_bound(z, lp::lconstraint_kind::LE, rational(3));
// Expected: xyz in [-6, 6] since x*y*z with given intervals
VERIFY(true); // Placeholder
}
void test_nla_intervals_fractional() {
std::cout << "test_nla_intervals_fractional\n";
reslimit rl;
params_ref p;
lp::lar_solver s;
// Create variables for fractional bounds
lpvar x = s.add_var(0, true);
lpvar y = s.add_var(1, true);
lpvar xy = s.add_var(2, true);
nla::core nla_solver(s, p, rl);
// Create monomial xy = x * y
vector<lpvar> vars;
vars.push_back(x);
vars.push_back(y);
nla_solver.add_monic(xy, vars.size(), vars.begin());
// Set fractional bounds: x in [0.5, 1.5], y in [2.5, 3.5]
s.add_var_bound(x, lp::lconstraint_kind::GE, rational(1, 2));
s.add_var_bound(x, lp::lconstraint_kind::LE, rational(3, 2));
s.add_var_bound(y, lp::lconstraint_kind::GE, rational(5, 2));
s.add_var_bound(y, lp::lconstraint_kind::LE, rational(7, 2));
// Expected: xy in [1.25, 5.25] since x*y with given fractional intervals
VERIFY(true); // Placeholder
}
void test_fetch_normalized_term_column() {
std::cout << "test_fetch_normalized_term_column\n";
lp::lar_solver s;
// Create some variables
lpvar x = s.add_var(0, true); // j0
lpvar y = s.add_var(1, true); // j1
lpvar z = s.add_var(2, true); // j2
// Add a term t = 2*x + 3*y and register it
lp::lar_term t;
t.add_monomial(rational(2), x);
t.add_monomial(rational(3), y);
s.add_term(t.coeffs_as_vector(), UINT_MAX);
s.register_existing_terms();
// Now build the same term independently and look it up
lp::lar_term query;
query.add_monomial(rational(2), x);
query.add_monomial(rational(3), y);
lp::mpq a;
lp::lar_term norm_query = query.get_normalized_by_min_var(a);
std::pair<lp::mpq, lpvar> result;
bool found = s.fetch_normalized_term_column(norm_query, result);
VERIFY(found);
std::cout << " round-trip lookup: " << (found ? "PASS" : "FAIL") << "\n";
// Build query with variables added in reverse order
lp::lar_term query_rev;
query_rev.add_monomial(rational(3), y);
query_rev.add_monomial(rational(2), x);
lp::lar_term norm_rev = query_rev.get_normalized_by_min_var(a);
bool found_rev = s.fetch_normalized_term_column(norm_rev, result);
VERIFY(found_rev);
std::cout << " reverse-order lookup: " << (found_rev ? "PASS" : "FAIL") << "\n";
// Test a 3-variable term: x - y + 5*z
lp::lar_term t2;
t2.add_monomial(rational(1), x);
t2.add_monomial(rational(-1), y);
t2.add_monomial(rational(5), z);
s.add_term(t2.coeffs_as_vector(), UINT_MAX);
s.register_existing_terms();
lp::lar_term query2;
query2.add_monomial(rational(1), x);
query2.add_monomial(rational(-1), y);
query2.add_monomial(rational(5), z);
lp::lar_term norm2 = query2.get_normalized_by_min_var(a);
found = s.fetch_normalized_term_column(norm2, result);
VERIFY(found);
std::cout << " 3-variable term lookup: " << (found ? "PASS" : "FAIL") << "\n";
// Test that a non-registered term is NOT found
lp::lar_term query3;
query3.add_monomial(rational(7), x);
query3.add_monomial(rational(11), y);
lp::lar_term norm3 = query3.get_normalized_by_min_var(a);
bool found_missing = s.fetch_normalized_term_column(norm3, result);
VERIFY(!found_missing);
std::cout << " non-existent term not found: " << (!found_missing ? "PASS" : "FAIL") << "\n";
}
void test_nla_intervals() {
test_nla_intervals_basic();
test_nla_intervals_negative();
test_nla_intervals_zero_crossing();
test_nla_intervals_power();
test_nla_intervals_mixed_signs();
test_nla_intervals_fractional();
test_fetch_normalized_term_column();
}
} // namespace nla
void tst_nla_intervals() {
nla::test_nla_intervals();
}