image-handler/image-handler10.0/venv/lib/site-packages/sympy/printing/tests/test_llvmjit.py

from sympy.external import import_module
from sympy.testing.pytest import raises
import ctypes


if import_module('llvmlite'):
    import sympy.printing.llvmjitcode as g
else:
    disabled = True

import sympy
from sympy.abc import a, b, n


# copied from numpy.isclose documentation
def isclose(a, b):
    rtol = 1e-5
    atol = 1e-8
    return abs(a-b) <= atol + rtol*abs(b)


def test_simple_expr():
    e = a + 1.0
    f = g.llvm_callable([a], e)
    res = float(e.subs({a: 4.0}).evalf())
    jit_res = f(4.0)

    assert isclose(jit_res, res)


def test_two_arg():
    e = 4.0*a + b + 3.0
    f = g.llvm_callable([a, b], e)
    res = float(e.subs({a: 4.0, b: 3.0}).evalf())
    jit_res = f(4.0, 3.0)

    assert isclose(jit_res, res)


def test_func():
    e = 4.0*sympy.exp(-a)
    f = g.llvm_callable([a], e)
    res = float(e.subs({a: 1.5}).evalf())
    jit_res = f(1.5)

    assert isclose(jit_res, res)


def test_two_func():
    e = 4.0*sympy.exp(-a) + sympy.exp(b)
    f = g.llvm_callable([a, b], e)
    res = float(e.subs({a: 1.5, b: 2.0}).evalf())
    jit_res = f(1.5, 2.0)

    assert isclose(jit_res, res)


def test_two_sqrt():
    e = 4.0*sympy.sqrt(a) + sympy.sqrt(b)
    f = g.llvm_callable([a, b], e)
    res = float(e.subs({a: 1.5, b: 2.0}).evalf())
    jit_res = f(1.5, 2.0)

    assert isclose(jit_res, res)


def test_two_pow():
    e = a**1.5 + b**7
    f = g.llvm_callable([a, b], e)
    res = float(e.subs({a: 1.5, b: 2.0}).evalf())
    jit_res = f(1.5, 2.0)

    assert isclose(jit_res, res)


def test_callback():
    e = a + 1.2
    f = g.llvm_callable([a], e, callback_type='scipy.integrate.test')
    m = ctypes.c_int(1)
    array_type = ctypes.c_double * 1
    inp = {a: 2.2}
    array = array_type(inp[a])
    jit_res = f(m, array)

    res = float(e.subs(inp).evalf())

    assert isclose(jit_res, res)


def test_callback_cubature():
    e = a + 1.2
    f = g.llvm_callable([a], e, callback_type='cubature')
    m = ctypes.c_int(1)
    array_type = ctypes.c_double * 1
    inp = {a: 2.2}
    array = array_type(inp[a])
    out_array = array_type(0.0)
    jit_ret = f(m, array, None, m, out_array)

    assert jit_ret == 0

    res = float(e.subs(inp).evalf())

    assert isclose(out_array[0], res)


def test_callback_two():
    e = 3*a*b
    f = g.llvm_callable([a, b], e, callback_type='scipy.integrate.test')
    m = ctypes.c_int(2)
    array_type = ctypes.c_double * 2
    inp = {a: 0.2, b: 1.7}
    array = array_type(inp[a], inp[b])
    jit_res = f(m, array)

    res = float(e.subs(inp).evalf())

    assert isclose(jit_res, res)


def test_callback_alt_two():
    d = sympy.IndexedBase('d')
    e = 3*d[0]*d[1]
    f = g.llvm_callable([n, d], e, callback_type='scipy.integrate.test')
    m = ctypes.c_int(2)
    array_type = ctypes.c_double * 2
    inp = {d[0]: 0.2, d[1]: 1.7}
    array = array_type(inp[d[0]], inp[d[1]])
    jit_res = f(m, array)

    res = float(e.subs(inp).evalf())

    assert isclose(jit_res, res)


def test_multiple_statements():
    # Match return from CSE
    e = [[(b, 4.0*a)], [b + 5]]
    f = g.llvm_callable([a], e)
    b_val = e[0][0][1].subs({a: 1.5})
    res = float(e[1][0].subs({b: b_val}).evalf())
    jit_res = f(1.5)
    assert isclose(jit_res, res)

    f_callback = g.llvm_callable([a], e, callback_type='scipy.integrate.test')
    m = ctypes.c_int(1)
    array_type = ctypes.c_double * 1
    array = array_type(1.5)
    jit_callback_res = f_callback(m, array)
    assert isclose(jit_callback_res, res)


def test_cse():
    e = a*a + b*b + sympy.exp(-a*a - b*b)
    e2 = sympy.cse(e)
    f = g.llvm_callable([a, b], e2)
    res = float(e.subs({a: 2.3, b: 0.1}).evalf())
    jit_res = f(2.3, 0.1)

    assert isclose(jit_res, res)


def eval_cse(e, sub_dict):
    tmp_dict = {}
    for tmp_name, tmp_expr in e[0]:
        e2 = tmp_expr.subs(sub_dict)
        e3 = e2.subs(tmp_dict)
        tmp_dict[tmp_name] = e3
    return [e.subs(sub_dict).subs(tmp_dict) for e in e[1]]


def test_cse_multiple():
    e1 = a*a
    e2 = a*a + b*b
    e3 = sympy.cse([e1, e2])

    raises(NotImplementedError,
           lambda: g.llvm_callable([a, b], e3, callback_type='scipy.integrate'))

    f = g.llvm_callable([a, b], e3)
    jit_res = f(0.1, 1.5)
    assert len(jit_res) == 2
    res = eval_cse(e3, {a: 0.1, b: 1.5})
    assert isclose(res[0], jit_res[0])
    assert isclose(res[1], jit_res[1])


def test_callback_cubature_multiple():
    e1 = a*a
    e2 = a*a + b*b
    e3 = sympy.cse([e1, e2, 4*e2])
    f = g.llvm_callable([a, b], e3, callback_type='cubature')

    # Number of input variables
    ndim = 2
    # Number of output expression values
    outdim = 3

    m = ctypes.c_int(ndim)
    fdim = ctypes.c_int(outdim)
    array_type = ctypes.c_double * ndim
    out_array_type = ctypes.c_double * outdim
    inp = {a: 0.2, b: 1.5}
    array = array_type(inp[a], inp[b])
    out_array = out_array_type()
    jit_ret = f(m, array, None, fdim, out_array)

    assert jit_ret == 0

    res = eval_cse(e3, inp)

    assert isclose(out_array[0], res[0])
    assert isclose(out_array[1], res[1])
    assert isclose(out_array[2], res[2])


def test_symbol_not_found():
    e = a*a + b
    raises(LookupError, lambda: g.llvm_callable([a], e))


def test_bad_callback():
    e = a
    raises(ValueError, lambda: g.llvm_callable([a], e, callback_type='bad_callback'))