__copyright__ = "Copyright (C) 2012 Andreas Kloeckner" __license__ = """ Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. """ import islpy as isl def test_aff_to_expr(): s = isl.Space.create_from_names(isl.Context(), ["a", "b"]) zero = isl.Aff.zero_on_domain(isl.LocalSpace.from_space(s)) a = zero.set_coefficient_val(isl.dim_type.in_, 0, 1) b = zero.set_coefficient_val(isl.dim_type.in_, 1, 1) x = (5*a + 3*b) % 17 % 5 print(x) from loopy.symbolic import aff_to_expr print(aff_to_expr(x)) def test_aff_to_expr_2(): from loopy.symbolic import aff_to_expr x = isl.Aff("[n] -> { [i0] -> [(-i0 + 2*floor((i0)/2))] }") from pymbolic import var i0 = var("i0") assert aff_to_expr(x) == (-1)*i0 + 2*(i0 // 2) def test_pw_aff_to_conditional_expr(): from loopy.symbolic import pw_aff_to_expr cond = isl.PwAff("[i] -> { [(0)] : i = 0; [(-1 + i)] : i > 0 }") expr = pw_aff_to_expr(cond) assert str(expr) == "0 if i == 0 else -1 + i" def test_subst_into_pwqpolynomial(): from pymbolic.primitives import Variable arg_dict = { "m": 3*Variable("nx"), "n": 3*Variable("ny"), "nx": Variable("nx"), "ny": Variable("ny"), "nz": Variable("nz")} space = isl.Set("[nx, ny, nz] -> { []: }").space poly = isl.PwQPolynomial("[m, n] -> { (256 * m + 256 * m * n) : " "m > 0 and n > 0; 256 * m : m > 0 and n <= 0 }") from loopy.isl_helpers import subst_into_pwqpolynomial result = subst_into_pwqpolynomial(space, poly, arg_dict) expected_pwqpoly = isl.PwQPolynomial("[nx, ny, nz] -> {" "(768 * nx + 2304 * nx * ny) : nx > 0 and ny > 0;" "768 * nx : nx > 0 and ny <= 0 }") assert (result - expected_pwqpoly).is_zero() def test_subst_into_pwaff(): from pymbolic.primitives import Variable arg_dict = { "m": 3*Variable("nx"), "n": 2*Variable("ny")+4} space = isl.Set("[nx, ny, nz] -> { []: }").params().space poly = isl.PwAff("[m, n] -> { [3 * m + 2 * n] : " "m > 0 and n > 0; [7* m + 4*n] : m > 0 and n <= 0 }") from loopy.isl_helpers import subst_into_pwaff result = subst_into_pwaff(space, poly, arg_dict) expected = isl.PwAff("[nx, ny, nz] -> { [(9nx + 4ny+8)] : nx > 0 and ny > -2;" " [(21nx + 8ny+16)] : nx > 0 and ny <= -2 }") assert result == expected def test_simplify_via_aff_reproducibility(): # See https://github.com/inducer/loopy/pull/349 from loopy.symbolic import parse, simplify_via_aff expr = parse("i+i_0") assert simplify_via_aff(expr) == expr def test_qpolynomrial_to_expr(): import pymbolic.primitives as p from loopy.symbolic import qpolynomial_to_expr (_, qpoly), = isl.PwQPolynomial( "[i,j,k] -> { ((1/3)*i + (1/2)*j + (1/4)*k) : (4i+6j+3k) mod 12 = 0}" ).get_pieces() expr = qpolynomial_to_expr(qpoly) i, j, k = p.variables("i j k") assert expr == (4*i + 6*j + 3*k) // 12 if __name__ == "__main__": import sys if len(sys.argv) > 1: exec(sys.argv[1]) else: from pytest import main main([__file__])