from functools import partial
from typing import Literal

import numpy as np
import pytest

import pytensor.tensor as pt
from pytensor.configdefaults import config
from pytensor.tensor import nlinalg as pt_nlinalg
from pytensor.tensor import slinalg as pt_slinalg
from pytensor.tensor import subtensor as pt_subtensor
from pytensor.tensor.math import clip, cosh
from pytensor.tensor.type import matrix, vector
from tests.link.jax.test_basic import compare_jax_and_py


def test_jax_basic():
    rng = np.random.default_rng(28494)

    x = matrix("x")
    y = matrix("y")
    b = vector("b")

    # `ScalarOp`
    z = cosh(x**2 + y / 3.0)

    # `[Inc]Subtensor`
    out = pt_subtensor.set_subtensor(z[0], -10.0)
    out = pt_subtensor.inc_subtensor(out[0, 1], 2.0)
    out = out[:5, :3]

    test_input_vals = [
        np.tile(np.arange(10), (10, 1)).astype(config.floatX),
        np.tile(np.arange(10, 20), (10, 1)).astype(config.floatX),
    ]
    _, [jax_res] = compare_jax_and_py([x, y], [out], test_input_vals)

    # Confirm that the `Subtensor` slice operations are correct
    assert jax_res.shape == (5, 3)

    # Confirm that the `IncSubtensor` operations are correct
    assert jax_res[0, 0] == -10.0
    assert jax_res[0, 1] == -8.0

    out = clip(x, y, 5)
    compare_jax_and_py([x, y], [out], test_input_vals)

    out = pt.diagonal(x, 0)
    compare_jax_and_py(
        [x], [out], [np.arange(10 * 10).reshape((10, 10)).astype(config.floatX)]
    )

    out = pt_slinalg.cholesky(x)
    compare_jax_and_py(
        [x],
        [out],
        [
            (np.eye(10) + rng.standard_normal(size=(10, 10)) * 0.01).astype(
                config.floatX
            )
        ],
    )

    # not sure why this isn't working yet with lower=False
    out = pt_slinalg.Cholesky(lower=False)(x)
    compare_jax_and_py(
        [x],
        [out],
        [
            (np.eye(10) + rng.standard_normal(size=(10, 10)) * 0.01).astype(
                config.floatX
            )
        ],
    )

    out = pt_slinalg.solve(x, b)
    compare_jax_and_py(
        [x, b],
        [out],
        [
            np.eye(10).astype(config.floatX),
            np.arange(10).astype(config.floatX),
        ],
    )

    out = pt.diag(b)
    compare_jax_and_py([b], [out], [np.arange(10).astype(config.floatX)])

    out = pt_nlinalg.det(x)
    compare_jax_and_py(
        [x], [out], [np.arange(10 * 10).reshape((10, 10)).astype(config.floatX)]
    )

    out = pt_nlinalg.matrix_inverse(x)
    compare_jax_and_py(
        [x],
        [out],
        [
            (np.eye(10) + rng.standard_normal(size=(10, 10)) * 0.01).astype(
                config.floatX
            )
        ],
    )


@pytest.mark.parametrize("check_finite", [False, True])
@pytest.mark.parametrize("lower", [False, True])
@pytest.mark.parametrize("trans", [0, 1, 2])
def test_jax_SolveTriangular(trans, lower, check_finite):
    x = matrix("x")
    b = vector("b")

    out = pt_slinalg.solve_triangular(
        x,
        b,
        trans=trans,
        lower=lower,
        check_finite=check_finite,
    )
    compare_jax_and_py(
        [x, b],
        [out],
        [
            np.eye(10).astype(config.floatX),
            np.arange(10).astype(config.floatX),
        ],
    )


def test_jax_block_diag():
    A = matrix("A")
    B = matrix("B")
    C = matrix("C")
    D = matrix("D")

    out = pt_slinalg.block_diag(A, B, C, D)

    compare_jax_and_py(
        [A, B, C, D],
        [out],
        [
            np.random.normal(size=(5, 5)).astype(config.floatX),
            np.random.normal(size=(3, 3)).astype(config.floatX),
            np.random.normal(size=(2, 2)).astype(config.floatX),
            np.random.normal(size=(4, 4)).astype(config.floatX),
        ],
    )


def test_jax_block_diag_blockwise():
    A = pt.tensor3("A")
    B = pt.tensor3("B")
    out = pt_slinalg.block_diag(A, B)

    compare_jax_and_py(
        [A, B],
        [out],
        [
            np.random.normal(size=(5, 5, 5)).astype(config.floatX),
            np.random.normal(size=(5, 3, 3)).astype(config.floatX),
        ],
    )


@pytest.mark.parametrize("lower", [False, True])
def test_jax_eigvalsh(lower):
    A = matrix("A")
    B = matrix("B")

    out = pt_slinalg.eigvalsh(A, B, lower=lower)

    with pytest.raises(NotImplementedError):
        compare_jax_and_py(
            [A, B],
            [out],
            [
                np.array(
                    [[6, 3, 1, 5], [3, 0, 5, 1], [1, 5, 6, 2], [5, 1, 2, 2]]
                ).astype(config.floatX),
                np.array(
                    [[10, 0, 1, 3], [0, 12, 7, 8], [1, 7, 14, 2], [3, 8, 2, 16]]
                ).astype(config.floatX),
            ],
        )
    compare_jax_and_py(
        [A, B],
        [out],
        [
            np.array([[6, 3, 1, 5], [3, 0, 5, 1], [1, 5, 6, 2], [5, 1, 2, 2]]).astype(
                config.floatX
            ),
            None,
        ],
    )


@pytest.mark.parametrize("method", ["direct", "bilinear"])
@pytest.mark.parametrize("shape", [(5, 5), (5, 5, 5)], ids=["matrix", "batch"])
def test_jax_solve_discrete_lyapunov(
    method: Literal["direct", "bilinear"], shape: tuple[int]
):
    A = pt.tensor(name="A", shape=shape)
    B = pt.tensor(name="B", shape=shape)
    out = pt_slinalg.solve_discrete_lyapunov(A, B, method=method)

    atol = rtol = 1e-8 if config.floatX == "float64" else 1e-3
    compare_jax_and_py(
        [A, B],
        [out],
        [
            np.random.normal(size=shape).astype(config.floatX),
            np.random.normal(size=shape).astype(config.floatX),
        ],
        jax_mode="JAX",
        assert_fn=partial(np.testing.assert_allclose, atol=atol, rtol=rtol),
    )
