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# http://www.apache.org/licenses/LICENSE-2.0
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import tvm
import tvm.testing
from tvm import te
def test_basic():
a = te.var("a")
b = te.var("b")
m = tvm.arith.detect_linear_equation(a * 4 + b * 6 + 7, [a])
assert m[0].value == 4
tvm.testing.assert_prim_expr_equal(m[1], b * 6 + 7)
m = tvm.arith.detect_linear_equation(a * 4 * (a + 1) + b * 6 + 7, [a])
assert len(m) == 0
m = tvm.arith.detect_linear_equation(a * 4 + (a + 1) + b * 6 + 7, [a])
assert m[0].value == 5
tvm.testing.assert_prim_expr_equal(m[1], b * 6 + 7 + 1)
m = tvm.arith.detect_linear_equation(a * b + 7, [a])
assert m[0] == b
m = tvm.arith.detect_linear_equation(b * 7, [a])
assert m[0].value == 0
m = tvm.arith.detect_linear_equation(b * 7, [])
assert len(m) == 1
tvm.testing.assert_prim_expr_equal(m[0], b * 7)
c = te.var("c", "uint32")
m = tvm.arith.detect_linear_equation(128 - c, [c])
assert m[0].value == -1
def test_multivariate():
v = [te.var("v%d" % i) for i in range(4)]
b = te.var("b")
m = tvm.arith.detect_linear_equation(v[0] * (b + 4) + v[0] + v[1] * 8, v)
tvm.testing.assert_prim_expr_equal(m[0], b + 5)
assert m[1].value == 8
m = tvm.arith.detect_linear_equation(v[0] * (b + 4) + v[0] + v[1] * 8 * v[2], v)
assert len(m) == 0
m = tvm.arith.detect_linear_equation(v[0] * (b + 4) + v[0] + v[1] * 8 * v[1] + v[3], v)
assert len(m) == 0
m = tvm.arith.detect_linear_equation(((v[0] * b + v[1]) * 8 + v[2] + 1) * 2, v)
assert m[1].value == 16
assert m[2].value == 2
assert m[len(m) - 1].value == 2
m = tvm.arith.detect_linear_equation((v[0] - v[1]), [v[2]])
assert m[0].value == 0
tvm.testing.assert_prim_expr_equal(m[1], v[0] - v[1])
m = tvm.arith.detect_linear_equation((v[0] - v[1]), [])
assert len(m) == 1
tvm.testing.assert_prim_expr_equal(m[0], v[0] - v[1])
if __name__ == "__main__":
test_basic()
test_multivariate()