# This code is part of Qiskit.
#
# (C) Copyright IBM 2017, 2018.
#
# This code is licensed under the Apache License, Version 2.0. You may
# obtain a copy of this license in the LICENSE.txt file in the root directory
# of this source tree or at http://www.apache.org/licenses/LICENSE-2.0.
#
# Any modifications or derivative works of this code must retain this
# copyright notice, and modified files need to carry a notice indicating
# that they have been altered from the originals.

# pylint: disable=no-member

"""Test the optimize-1q-gate pass"""

import unittest

import ddt
import numpy as np

from qiskit.circuit import QuantumRegister, QuantumCircuit, ClassicalRegister
from qiskit.circuit.library.standard_gates import UGate, SXGate, PhaseGate
from qiskit.circuit.library.standard_gates import U3Gate, U2Gate, U1Gate
from qiskit.circuit.random import random_circuit
from qiskit.compiler import transpile
from qiskit.transpiler import PassManager
from qiskit.transpiler.passes import Optimize1qGatesDecomposition
from qiskit.transpiler.passes import BasisTranslator
from qiskit.circuit.equivalence_library import SessionEquivalenceLibrary as sel
from qiskit.quantum_info import Operator
from qiskit.test import QiskitTestCase
from qiskit.circuit import Parameter


@ddt.ddt
class TestOptimize1qGatesDecomposition(QiskitTestCase):
    """Test for 1q gate optimizations."""

    @ddt.data(
        ["cx", "u3"],
        ["cz", "u3"],
        ["cx", "u"],
        ["p", "sx", "u", "cx"],
        ["cz", "rx", "rz"],
        ["rxx", "rx", "ry"],
        ["iswap", "rx", "rz"],
        ["u1", "rx"],
        ["rz", "sx"],
        ["p", "sx"],
        ["r"],
    )
    def test_optimize_h_gates_pass_manager(self, basis):
        """Transpile: qr:--[H]-[H]-[H]--"""
        qr = QuantumRegister(1, "qr")
        circuit = QuantumCircuit(qr)
        circuit.h(qr[0])
        circuit.h(qr[0])
        circuit.h(qr[0])

        expected = QuantumCircuit(qr)
        expected.u(np.pi / 2, 0, np.pi, qr)  # U2(0, pi)

        passmanager = PassManager()
        passmanager.append(BasisTranslator(sel, basis))
        passmanager.append(Optimize1qGatesDecomposition(basis))
        result = passmanager.run(circuit)

        self.assertTrue(Operator(circuit).equiv(Operator(result)))

    @ddt.data(
        ["cx", "u3"],
        ["cz", "u3"],
        ["cx", "u"],
        ["p", "sx", "u", "cx"],
        ["cz", "rx", "rz"],
        ["rxx", "rx", "ry"],
        ["iswap", "rx", "rz"],
        ["u1", "rx"],
        ["rz", "sx"],
        ["p", "sx"],
        ["r"],
    )
    def test_ignores_conditional_rotations(self, basis):
        """Conditional rotations should not be considered in the chain."""
        qr = QuantumRegister(1, "qr")
        cr = ClassicalRegister(2, "cr")
        circuit = QuantumCircuit(qr, cr)
        circuit.p(0.1, qr).c_if(cr, 1)
        circuit.p(0.2, qr).c_if(cr, 3)
        circuit.p(0.3, qr)
        circuit.p(0.4, qr)

        passmanager = PassManager()
        passmanager.append(BasisTranslator(sel, basis))
        passmanager.append(Optimize1qGatesDecomposition(basis))
        result = passmanager.run(circuit)

        self.assertTrue(Operator(circuit).equiv(Operator(result)))

    @ddt.data(
        ["cx", "u3"],
        ["cz", "u3"],
        ["cx", "u"],
        ["p", "sx", "u", "cx"],
        ["cz", "rx", "rz"],
        ["rxx", "rx", "ry"],
        ["iswap", "rx", "rz"],
        ["u1", "rx"],
        ["rz", "sx"],
        ["p", "sx"],
        ["r"],
    )
    def test_in_the_back(self, basis):
        """Optimizations can be in the back of the circuit.
        See https://github.com/Qiskit/qiskit-terra/issues/2004.

        qr0:--[U1]-[U1]-[H]--
        """
        qr = QuantumRegister(1, "qr")
        circuit = QuantumCircuit(qr)
        circuit.p(0.3, qr)
        circuit.p(0.4, qr)
        circuit.h(qr)

        expected = QuantumCircuit(qr)
        expected.p(0.7, qr)
        expected.h(qr)

        passmanager = PassManager()
        passmanager.append(BasisTranslator(sel, basis))
        passmanager.append(Optimize1qGatesDecomposition(basis))
        result = passmanager.run(circuit)

        self.assertTrue(Operator(circuit).equiv(Operator(result)))

    @ddt.data(
        ["cx", "u3"],
        ["cz", "u3"],
        ["cx", "u"],
        ["p", "sx", "u", "cx"],
        ["cz", "rx", "rz"],
        ["rxx", "rx", "ry"],
        ["iswap", "rx", "rz"],
        ["rz", "sx"],
        ["u1", "rx"],
        ["p", "sx"],
    )
    def test_single_parameterized_circuit(self, basis):
        """Parameters should be treated as opaque gates."""
        qr = QuantumRegister(1)
        qc = QuantumCircuit(qr)
        theta = Parameter("theta")

        qc.p(0.3, qr)
        qc.p(0.4, qr)
        qc.p(theta, qr)
        qc.p(0.1, qr)
        qc.p(0.2, qr)

        passmanager = PassManager()
        passmanager.append(BasisTranslator(sel, basis))
        passmanager.append(Optimize1qGatesDecomposition(basis))
        result = passmanager.run(qc)

        self.assertTrue(
            Operator(qc.bind_parameters({theta: 3.14})).equiv(
                Operator(result.bind_parameters({theta: 3.14}))
            )
        )

    @ddt.data(
        ["cx", "u3"],
        ["cz", "u3"],
        ["cx", "u"],
        ["p", "sx", "u", "cx"],
        ["cz", "rx", "rz"],
        ["rxx", "rx", "ry"],
        ["iswap", "rx", "rz"],
        ["u1", "rx"],
        ["rz", "sx"],
        ["p", "sx"],
    )
    def test_parameterized_circuits(self, basis):
        """Parameters should be treated as opaque gates."""
        qr = QuantumRegister(1)
        qc = QuantumCircuit(qr)
        theta = Parameter("theta")

        qc.p(0.3, qr)
        qc.p(0.4, qr)
        qc.p(theta, qr)
        qc.p(0.1, qr)
        qc.p(0.2, qr)
        qc.p(theta, qr)
        qc.p(0.3, qr)
        qc.p(0.2, qr)

        passmanager = PassManager()
        passmanager.append(BasisTranslator(sel, basis))
        passmanager.append(Optimize1qGatesDecomposition(basis))
        result = passmanager.run(qc)

        self.assertTrue(
            Operator(qc.bind_parameters({theta: 3.14})).equiv(
                Operator(result.bind_parameters({theta: 3.14}))
            )
        )

    @ddt.data(
        ["cx", "u3"],
        ["cz", "u3"],
        ["cx", "u"],
        ["p", "sx", "u", "cx"],
        ["cz", "rx", "rz"],
        ["rxx", "rx", "ry"],
        ["iswap", "rx", "rz"],
        ["u1", "rx"],
        ["rz", "sx"],
        ["p", "sx"],
    )
    def test_parameterized_expressions_in_circuits(self, basis):
        """Expressions of Parameters should be treated as opaque gates."""
        qr = QuantumRegister(1)
        qc = QuantumCircuit(qr)
        theta = Parameter("theta")
        phi = Parameter("phi")

        sum_ = theta + phi
        product_ = theta * phi
        qc.p(0.3, qr)
        qc.p(0.4, qr)
        qc.p(theta, qr)
        qc.p(phi, qr)
        qc.p(sum_, qr)
        qc.p(product_, qr)
        qc.p(0.3, qr)
        qc.p(0.2, qr)

        passmanager = PassManager()
        passmanager.append(BasisTranslator(sel, basis))
        passmanager.append(Optimize1qGatesDecomposition(basis))
        result = passmanager.run(qc)

        self.assertTrue(
            Operator(qc.bind_parameters({theta: 3.14, phi: 10})).equiv(
                Operator(result.bind_parameters({theta: 3.14, phi: 10}))
            )
        )

    def test_identity_xyx(self):
        """Test lone identity gates in rx ry basis are removed."""
        circuit = QuantumCircuit(2)
        circuit.rx(0, 1)
        circuit.ry(0, 0)
        basis = ["rxx", "rx", "ry"]
        passmanager = PassManager()
        passmanager.append(BasisTranslator(sel, basis))
        passmanager.append(Optimize1qGatesDecomposition(basis))
        result = passmanager.run(circuit)
        self.assertEqual([], result.data)

    def test_identity_zxz(self):
        """Test lone identity gates in rx rz basis are removed."""
        circuit = QuantumCircuit(2)
        circuit.rx(0, 1)
        circuit.rz(0, 0)
        basis = ["cz", "rx", "rz"]
        passmanager = PassManager()
        passmanager.append(BasisTranslator(sel, basis))
        passmanager.append(Optimize1qGatesDecomposition(basis))
        result = passmanager.run(circuit)
        self.assertEqual([], result.data)

    def test_identity_psx(self):
        """Test lone identity gates in p sx basis are removed."""
        circuit = QuantumCircuit(1)
        circuit.p(0, 0)
        basis = ["cx", "p", "sx"]
        passmanager = PassManager()
        passmanager.append(BasisTranslator(sel, basis))
        passmanager.append(Optimize1qGatesDecomposition(basis))
        result = passmanager.run(circuit)
        self.assertEqual([], result.data)

    def test_identity_u(self):
        """Test lone identity gates in u basis are removed."""
        circuit = QuantumCircuit(1)
        circuit.u(0, 0, 0, 0)
        basis = ["cx", "u"]
        passmanager = PassManager()
        passmanager.append(BasisTranslator(sel, basis))
        passmanager.append(Optimize1qGatesDecomposition(basis))
        result = passmanager.run(circuit)
        self.assertEqual([], result.data)

    def test_identity_u3(self):
        """Test lone identity gates in u3 basis are removed."""
        circuit = QuantumCircuit(1)
        circuit.append(U3Gate(0, 0, 0), [0])
        basis = ["cx", "u3"]
        passmanager = PassManager()
        passmanager.append(BasisTranslator(sel, basis))
        passmanager.append(Optimize1qGatesDecomposition(basis))
        result = passmanager.run(circuit)
        self.assertEqual([], result.data)

    def test_identity_r(self):
        """Test lone identity gates in r basis are removed."""
        circuit = QuantumCircuit(1)
        circuit.r(0, 0, 0)
        basis = ["r"]
        passmanager = PassManager()
        passmanager.append(BasisTranslator(sel, basis))
        passmanager.append(Optimize1qGatesDecomposition(basis))
        result = passmanager.run(circuit)
        self.assertEqual([], result.data)

    def test_identity_u1x(self):
        """Test lone identity gates in u1 rx basis are removed."""
        circuit = QuantumCircuit(2)
        circuit.u1(0, 0)
        circuit.rx(0, 1)
        basis = ["cx", "u1", "rx"]
        passmanager = PassManager()
        passmanager.append(BasisTranslator(sel, basis))
        passmanager.append(Optimize1qGatesDecomposition(basis))
        result = passmanager.run(circuit)
        self.assertEqual([], result.data)

    def test_overcomplete_basis(self):
        """Test optimization with an overcomplete basis."""
        circuit = random_circuit(3, 3, seed=42)
        basis = ["rz", "rxx", "rx", "ry", "p", "sx", "u", "cx"]
        passmanager = PassManager()
        passmanager.append(BasisTranslator(sel, basis))
        basis_translated = passmanager.run(circuit)
        passmanager = PassManager()
        passmanager.append(Optimize1qGatesDecomposition(basis))
        result_full = passmanager.run(basis_translated)
        self.assertTrue(Operator(circuit).equiv(Operator(result_full)))
        self.assertGreater(basis_translated.depth(), result_full.depth())

    def test_euler_decomposition_worse(self):
        """Ensure we don't decompose to a deeper circuit."""
        circuit = QuantumCircuit(1)
        circuit.rx(-np.pi / 2, 0)
        circuit.rz(-np.pi / 2, 0)
        basis = ["rx", "rz"]
        passmanager = PassManager()
        passmanager.append(BasisTranslator(sel, basis))
        passmanager.append(Optimize1qGatesDecomposition(basis))
        result = passmanager.run(circuit)
        # decomposition of circuit will result in 3 gates instead of 2
        # assert optimization pass doesn't use it.
        self.assertEqual(circuit, result, f"Circuit:\n{circuit}\nResult:\n{result}")

    def test_euler_decomposition_worse_2(self):
        """Ensure we don't decompose to a deeper circuit in an edge case."""
        circuit = QuantumCircuit(1)
        circuit.rz(0.13, 0)
        circuit.ry(-0.14, 0)
        basis = ["ry", "rz"]
        passmanager = PassManager()
        passmanager.append(BasisTranslator(sel, basis))
        passmanager.append(Optimize1qGatesDecomposition(basis))
        result = passmanager.run(circuit)
        self.assertEqual(circuit, result, f"Circuit:\n{circuit}\nResult:\n{result}")

    def test_euler_decomposition_zsx(self):
        """Ensure we don't decompose to a deeper circuit in the ZSX basis."""
        circuit = QuantumCircuit(1)
        circuit.rz(0.3, 0)
        circuit.sx(0)
        circuit.rz(0.2, 0)
        circuit.sx(0)

        basis = ["sx", "rz"]
        passmanager = PassManager()
        passmanager.append(BasisTranslator(sel, basis))
        passmanager.append(Optimize1qGatesDecomposition(basis))
        result = passmanager.run(circuit)
        self.assertEqual(circuit, result, f"Circuit:\n{circuit}\nResult:\n{result}")

    def test_euler_decomposition_zsx_2(self):
        """Ensure we don't decompose to a deeper circuit in the ZSX basis."""
        circuit = QuantumCircuit(1)
        circuit.sx(0)
        circuit.rz(0.2, 0)
        circuit.sx(0)
        circuit.rz(0.3, 0)

        basis = ["sx", "rz"]
        passmanager = PassManager()
        passmanager.append(BasisTranslator(sel, basis))
        passmanager.append(Optimize1qGatesDecomposition(basis))
        result = passmanager.run(circuit)
        self.assertEqual(circuit, result, f"Circuit:\n{circuit}\nResult:\n{result}")

    def test_optimize_u_to_phase_gate(self):
        """U(0, 0, pi/4) ->  p(pi/4). Basis [p, sx]."""
        qr = QuantumRegister(2, "qr")
        circuit = QuantumCircuit(qr)
        circuit.append(UGate(0, 0, np.pi / 4), [qr[0]])

        expected = QuantumCircuit(qr)
        expected.append(PhaseGate(np.pi / 4), [qr[0]])

        basis = ["p", "sx"]
        passmanager = PassManager()
        passmanager.append(BasisTranslator(sel, basis))
        passmanager.append(Optimize1qGatesDecomposition(basis))
        result = passmanager.run(circuit)

        msg = f"expected:\n{expected}\nresult:\n{result}"
        self.assertEqual(expected, result, msg=msg)

    def test_optimize_u_to_p_sx_p(self):
        """U(pi/2, 0, pi/4) ->  p(-pi/4)-sx-p(p/2). Basis [p, sx]."""
        qr = QuantumRegister(2, "qr")
        circuit = QuantumCircuit(qr)
        circuit.append(UGate(np.pi / 2, 0, np.pi / 4), [qr[0]])

        expected = QuantumCircuit(qr, global_phase=-np.pi / 4)
        expected.append(PhaseGate(-np.pi / 4), [qr[0]])
        expected.append(SXGate(), [qr[0]])
        expected.append(PhaseGate(np.pi / 2), [qr[0]])

        basis = ["p", "sx"]
        passmanager = PassManager()
        passmanager.append(BasisTranslator(sel, basis))
        passmanager.append(Optimize1qGatesDecomposition(basis))
        result = passmanager.run(circuit)

        msg = f"expected:\n{expected}\nresult:\n{result}"
        self.assertEqual(expected, result, msg=msg)

    def test_optimize_u3_to_u1(self):
        """U3(0, 0, pi/4) ->  U1(pi/4). Basis [u1, u2, u3]."""
        qr = QuantumRegister(2, "qr")
        circuit = QuantumCircuit(qr)
        circuit.append(U3Gate(0, 0, np.pi / 4), [qr[0]])

        expected = QuantumCircuit(qr)
        expected.append(U1Gate(np.pi / 4), [qr[0]])

        basis = ["u1", "u2", "u3"]
        passmanager = PassManager()
        passmanager.append(BasisTranslator(sel, basis))
        passmanager.append(Optimize1qGatesDecomposition(basis))
        result = passmanager.run(circuit)

        msg = f"expected:\n{expected}\nresult:\n{result}"
        self.assertEqual(expected, result, msg=msg)

    def test_optimize_u3_to_u2(self):
        """U3(pi/2, 0, pi/4) ->  U2(0, pi/4). Basis [u1, u2, u3]."""
        qr = QuantumRegister(2, "qr")
        circuit = QuantumCircuit(qr)
        circuit.append(U3Gate(np.pi / 2, 0, np.pi / 4), [qr[0]])

        expected = QuantumCircuit(qr)
        expected.append(U2Gate(0, np.pi / 4), [qr[0]])

        basis = ["u1", "u2", "u3"]
        passmanager = PassManager()
        passmanager.append(BasisTranslator(sel, basis))
        passmanager.append(Optimize1qGatesDecomposition(basis))
        result = passmanager.run(circuit)
        self.assertEqual(expected, result)
        msg = f"expected:\n{expected}\nresult:\n{result}"
        self.assertEqual(expected, result, msg=msg)

    def test_y_simplification_rz_sx_x(self):
        """Test that a y gate gets decomposed to x-zx with ibmq basis."""
        qc = QuantumCircuit(1)
        qc.y(0)
        basis = ["id", "rz", "sx", "x", "cx"]
        passmanager = PassManager()
        passmanager.append(BasisTranslator(sel, basis))
        passmanager.append(Optimize1qGatesDecomposition(basis))
        result = passmanager.run(qc)
        expected = QuantumCircuit(1)
        expected.rz(-np.pi, 0)
        expected.x(0)
        msg = f"expected:\n{expected}\nresult:\n{result}"
        self.assertEqual(expected, result, msg=msg)

    def test_short_string(self):
        """Test that a shorter-than-universal string is still rewritten."""
        qc = QuantumCircuit(1)
        qc.h(0)
        qc.ry(np.pi / 2, 0)
        basis = ["sx", "rz"]
        passmanager = PassManager()
        passmanager.append(Optimize1qGatesDecomposition(basis))
        result = passmanager.run(qc)
        expected = QuantumCircuit(1)
        expected.sx(0)
        expected.sx(0)
        msg = f"expected:\n{expected}\nresult:\n{result}"
        self.assertEqual(expected, result, msg=msg)

    def test_u_rewrites_to_rz(self):
        """Test that a phase-like U-gate gets rewritten into an RZ gate."""
        qc = QuantumCircuit(1)
        qc.u(0, 0, np.pi / 6, 0)
        basis = ["sx", "rz"]
        passmanager = PassManager()
        passmanager.append(Optimize1qGatesDecomposition(basis))
        result = passmanager.run(qc)
        expected = QuantumCircuit(1, global_phase=np.pi / 12)
        expected.rz(np.pi / 6, 0)
        msg = f"expected:\n{expected}\nresult:\n{result}"
        self.assertEqual(expected, result, msg=msg)

    def test_u_rewrites_to_phase(self):
        """Test that a phase-like U-gate gets rewritten into an RZ gate."""
        qc = QuantumCircuit(1)
        qc.u(0, 0, np.pi / 6, 0)
        basis = ["sx", "p"]
        passmanager = PassManager()
        passmanager.append(Optimize1qGatesDecomposition(basis))
        result = passmanager.run(qc)
        expected = QuantumCircuit(1)
        expected.p(np.pi / 6, 0)
        msg = f"expected:\n{expected}\nresult:\n{result}"
        self.assertEqual(expected, result, msg=msg)

    def test_no_warning_on_hadamard(self):
        """
        Test Hadamards don't trigger the inefficiency warning when they're part of the basis.

        See #6848.
        """
        qc = QuantumCircuit(2)
        qc.cz(0, 1)
        basis = ["h", "cx", "rz", "sx", "x"]
        result = transpile(qc, basis_gates=basis)
        expected = QuantumCircuit(2)
        expected.h(1)
        expected.cx(0, 1)
        expected.h(1)
        msg = f"expected:\n{expected}\nresult:\n{result}"
        self.assertEqual(expected, result, msg=msg)


if __name__ == "__main__":
    unittest.main()
