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py2llvm: support operations between fractions and floats
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@ -3,8 +3,8 @@ import ast
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from llvm import core as lc
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from artiq.py2llvm.values import VGeneric
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from artiq.py2llvm.base_types import VBool, VInt
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from artiq.py2llvm.values import VGeneric, operators
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from artiq.py2llvm.base_types import VBool, VInt, VFloat
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def _gcd(a, b):
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@ -214,30 +214,62 @@ class VFraction(VGeneric):
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return self._o_cmp(other, lc.ICMP_SGE, builder)
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def _o_addsub(self, other, builder, sub, invert=False):
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if not isinstance(other, (VInt, VFraction)):
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return NotImplemented
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r = VFraction()
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if builder is not None:
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if isinstance(other, VInt):
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i = other.o_int64(builder).auto_load(builder)
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x, rd = self._nd(builder)
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y = builder.mul(rd, i)
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else:
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a, b = self._nd(builder)
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c, d = other._nd(builder)
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rd = builder.mul(b, d)
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x = builder.mul(a, d)
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y = builder.mul(c, b)
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if isinstance(other, VFloat):
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a = self.o_getattr("numerator", builder)
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b = self.o_getattr("denominator", builder)
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if sub:
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if invert:
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rn = builder.sub(y, x)
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return operators.truediv(
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operators.sub(operators.mul(other,
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b,
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builder),
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a,
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builder),
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b,
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builder)
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else:
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rn = builder.sub(x, y)
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return operators.truediv(
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operators.sub(a,
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operators.mul(other,
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b,
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builder),
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builder),
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b,
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builder)
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else:
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rn = builder.add(x, y)
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rn, rd = _reduce(builder, rn, rd) # rd is already > 0
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r.auto_store(builder, _make_ssa(builder, rn, rd))
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return r
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return operators.truediv(
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operators.add(operators.mul(other,
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b,
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builder),
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a,
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builder),
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b,
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builder)
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else:
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if not isinstance(other, (VFraction, VInt)):
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return NotImplemented
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r = VFraction()
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if builder is not None:
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if isinstance(other, VInt):
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i = other.o_int64(builder).auto_load(builder)
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x, rd = self._nd(builder)
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y = builder.mul(rd, i)
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else:
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a, b = self._nd(builder)
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c, d = other._nd(builder)
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rd = builder.mul(b, d)
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x = builder.mul(a, d)
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y = builder.mul(c, b)
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if sub:
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if invert:
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rn = builder.sub(y, x)
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else:
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rn = builder.sub(x, y)
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else:
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rn = builder.add(x, y)
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rn, rd = _reduce(builder, rn, rd) # rd is already > 0
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r.auto_store(builder, _make_ssa(builder, rn, rd))
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return r
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def o_add(self, other, builder):
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return self._o_addsub(other, builder, False)
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@ -252,32 +284,46 @@ class VFraction(VGeneric):
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return self._o_addsub(other, builder, True, True)
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def _o_muldiv(self, other, builder, div, invert=False):
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if not isinstance(other, (VFraction, VInt)):
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return NotImplemented
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r = VFraction()
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if builder is not None:
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a, b = self._nd(builder)
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if isinstance(other, VFloat):
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a = self.o_getattr("numerator", builder)
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b = self.o_getattr("denominator", builder)
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if invert:
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a, b = b, a
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if isinstance(other, VInt):
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i = other.o_int64(builder).auto_load(builder)
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if div:
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b = builder.mul(b, i)
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else:
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a = builder.mul(a, i)
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if div:
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return operators.truediv(a,
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operators.mul(b, other, builder),
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builder)
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else:
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c, d = other._nd(builder)
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if div:
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a = builder.mul(a, d)
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b = builder.mul(b, c)
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return operators.truediv(operators.mul(a, other, builder),
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b,
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builder)
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else:
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if not isinstance(other, (VFraction, VInt)):
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return NotImplemented
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r = VFraction()
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if builder is not None:
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a, b = self._nd(builder)
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if invert:
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a, b = b, a
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if isinstance(other, VInt):
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i = other.o_int64(builder).auto_load(builder)
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if div:
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b = builder.mul(b, i)
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else:
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a = builder.mul(a, i)
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else:
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a = builder.mul(a, c)
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b = builder.mul(b, d)
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if div or invert:
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a, b = _signnum(builder, a, b)
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a, b = _reduce(builder, a, b)
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r.auto_store(builder, _make_ssa(builder, a, b))
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return r
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c, d = other._nd(builder)
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if div:
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a = builder.mul(a, d)
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b = builder.mul(b, c)
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else:
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a = builder.mul(a, c)
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b = builder.mul(b, d)
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if div or invert:
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a, b = _signnum(builder, a, b)
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a, b = _reduce(builder, a, b)
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r.auto_store(builder, _make_ssa(builder, a, b))
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return r
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def o_mul(self, other, builder):
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return self._o_muldiv(other, builder, False)
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@ -289,6 +335,7 @@ class VFraction(VGeneric):
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return self._o_muldiv(other, builder, False)
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def or_truediv(self, other, builder):
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# multiply by the inverse
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return self._o_muldiv(other, builder, False, True)
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def o_floordiv(self, other, builder):
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@ -112,11 +112,11 @@ class CompiledFunction:
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def arith(op, a, b):
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if op == 1:
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if op == 0:
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return a + b
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elif op == 2:
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elif op == 1:
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return a - b
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elif op == 3:
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elif op == 2:
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return a * b
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else:
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return a / b
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@ -137,11 +137,11 @@ def simplify_encode(a, b):
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def frac_arith_encode(op, a, b, c, d):
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if op == 1:
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if op == 0:
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f = Fraction(a, b) - Fraction(c, d)
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elif op == 2:
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elif op == 1:
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f = Fraction(a, b) + Fraction(c, d)
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elif op == 3:
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elif op == 2:
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f = Fraction(a, b) * Fraction(c, d)
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else:
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f = Fraction(a, b) / Fraction(c, d)
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@ -149,11 +149,11 @@ def frac_arith_encode(op, a, b, c, d):
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def frac_arith_encode_int(op, a, b, x):
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if op == 1:
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if op == 0:
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f = Fraction(a, b) - x
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elif op == 2:
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elif op == 1:
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f = Fraction(a, b) + x
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elif op == 3:
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elif op == 2:
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f = Fraction(a, b) * x
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else:
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f = Fraction(a, b) / x
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@ -161,17 +161,39 @@ def frac_arith_encode_int(op, a, b, x):
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def frac_arith_encode_int_rev(op, a, b, x):
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if op == 1:
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if op == 0:
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f = x - Fraction(a, b)
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elif op == 2:
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elif op == 1:
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f = x + Fraction(a, b)
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elif op == 3:
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elif op == 2:
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f = x * Fraction(a, b)
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else:
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f = x / Fraction(a, b)
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return f.numerator*1000 + f.denominator
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def frac_arith_float(op, a, b, x):
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if op == 0:
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return Fraction(a, b) - x
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elif op == 1:
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return Fraction(a, b) + x
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elif op == 2:
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return Fraction(a, b) * x
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else:
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return Fraction(a, b) / x
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def frac_arith_float_rev(op, a, b, x):
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if op == 0:
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return x - Fraction(a, b)
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elif op == 1:
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return x + Fraction(a, b)
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elif op == 2:
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return x * Fraction(a, b)
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else:
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return x / Fraction(a, b)
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def array_test():
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a = array(array(2, 5), 5)
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a[3][2] = 11
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@ -266,7 +288,7 @@ class CodeGenCase(unittest.TestCase):
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def test_frac_div(self):
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self._test_frac_arith(3)
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def _test_frac_frac_arith_int(self, op, rev):
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def _test_frac_arith_int(self, op, rev):
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f = frac_arith_encode_int_rev if rev else frac_arith_encode_int
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f_c = CompiledFunction(f, {
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"op": base_types.VInt(),
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@ -280,20 +302,49 @@ class CodeGenCase(unittest.TestCase):
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f(op, a, b, x))
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def test_frac_add_int(self):
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self._test_frac_frac_arith_int(0, False)
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self._test_frac_frac_arith_int(0, True)
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self._test_frac_arith_int(0, False)
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self._test_frac_arith_int(0, True)
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def test_frac_sub_int(self):
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self._test_frac_frac_arith_int(1, False)
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self._test_frac_frac_arith_int(1, True)
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self._test_frac_arith_int(1, False)
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self._test_frac_arith_int(1, True)
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def test_frac_mul_int(self):
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self._test_frac_frac_arith_int(2, False)
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self._test_frac_frac_arith_int(2, True)
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self._test_frac_arith_int(2, False)
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self._test_frac_arith_int(2, True)
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def test_frac_div_int(self):
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self._test_frac_frac_arith_int(3, False)
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self._test_frac_frac_arith_int(3, True)
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self._test_frac_arith_int(3, False)
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self._test_frac_arith_int(3, True)
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def _test_frac_arith_float(self, op, rev):
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f = frac_arith_float_rev if rev else frac_arith_float
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f_c = CompiledFunction(f, {
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"op": base_types.VInt(),
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"a": base_types.VInt(), "b": base_types.VInt(),
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"x": base_types.VFloat()})
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for a in _test_range():
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for b in _test_range():
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for x in _test_range():
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self.assertAlmostEqual(
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f_c(op, a, b, x/2),
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f(op, a, b, x/2))
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def test_frac_add_float(self):
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self._test_frac_arith_float(0, False)
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self._test_frac_arith_float(0, True)
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def test_frac_sub_float(self):
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self._test_frac_arith_float(1, False)
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self._test_frac_arith_float(1, True)
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def test_frac_mul_float(self):
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self._test_frac_arith_float(2, False)
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self._test_frac_arith_float(2, True)
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def test_frac_div_float(self):
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self._test_frac_arith_float(3, False)
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self._test_frac_arith_float(3, True)
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def test_array(self):
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array_test_c = CompiledFunction(array_test, dict())
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