"""Tests for pre-solve passes."""

import pytest
from kindred_solver.expr import Const, Var
from kindred_solver.params import ParamTable
from kindred_solver.prepass import single_equation_pass, substitution_pass


class TestSubstitutionPass:
    def test_fixed_replaced(self):
        pt = ParamTable()
        x = pt.add("x", 3.0, fixed=True)
        y = pt.add("y", 0.0)
        residuals = [x + y - Const(5.0)]
        result = substitution_pass(residuals, pt)
        # After substitution, x is replaced with 3.0
        # So residual becomes 3.0 + y - 5.0 = y - 2.0
        env = pt.get_env()
        assert abs(result[0].eval({"y": 2.0}) - 0.0) < 1e-10

    def test_no_fixed(self):
        pt = ParamTable()
        x = pt.add("x", 1.0)
        residuals = [x - Const(1.0)]
        result = substitution_pass(residuals, pt)
        assert len(result) == 1


class TestSingleEquationPass:
    def test_solve_linear(self):
        """x - 3 = 0 with only x free → solves x=3 and removes residual."""
        pt = ParamTable()
        x = pt.add("x", 0.0)
        residuals = [x - Const(3.0)]
        result = single_equation_pass(residuals, pt)
        assert len(result) == 0
        assert abs(pt.get_value("x") - 3.0) < 1e-10
        assert pt.is_fixed("x")

    def test_two_residuals_chain(self):
        """x - 3 = 0, y - x = 0 → solves x=3, then y=3."""
        pt = ParamTable()
        x = pt.add("x", 0.0)
        y = pt.add("y", 0.0)
        residuals = [x - Const(3.0), y - x]
        result = single_equation_pass(residuals, pt)
        assert len(result) == 0
        assert abs(pt.get_value("x") - 3.0) < 1e-10
        assert abs(pt.get_value("y") - 3.0) < 1e-10

    def test_multi_var_not_solved(self):
        """x + y - 5 = 0 with both free → not solved."""
        pt = ParamTable()
        x = pt.add("x", 0.0)
        y = pt.add("y", 0.0)
        residuals = [x + y - Const(5.0)]
        result = single_equation_pass(residuals, pt)
        assert len(result) == 1  # still unsolved