forked from M-Labs/artiq
py2llvm: complete rational arithmetic support
This commit is contained in:
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1133308dd5
commit
60368aa9e2
@ -8,33 +8,61 @@ from artiq.py2llvm.base_types import VBool, VInt
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def _gcd(a, b):
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if a < 0:
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a = -a
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while a:
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c = a
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a = b % a
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b = c
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return b
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def init_module(module):
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funcdef = ast.parse(inspect.getsource(_gcd)).body[0]
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module.compile_function(funcdef, {"a": VInt(64), "b": VInt(64)})
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def _call_gcd(builder, a, b):
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def _reduce(builder, a, b):
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gcd_f = builder.basic_block.function.module.get_function_named("_gcd")
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return builder.call(gcd_f, [a, b])
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def _frac_normalize(builder, numerator, denominator):
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gcd = _call_gcd(builder, numerator, denominator)
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numerator = builder.sdiv(numerator, gcd)
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denominator = builder.sdiv(denominator, gcd)
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return numerator, denominator
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gcd = builder.call(gcd_f, [a, b])
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a = builder.sdiv(a, gcd)
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b = builder.sdiv(b, gcd)
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return a, b
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def _frac_make_ssa(builder, numerator, denominator):
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def _signnum(builder, a, b):
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function = builder.basic_block.function
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orig_block = builder.basic_block
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swap_block = function.append_basic_block("sn_swap")
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merge_block = function.append_basic_block("sn_merge")
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condition = builder.icmp(
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lc.ICMP_SLT, b, lc.Constant.int(lc.Type.int(64), 0))
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builder.cbranch(condition, swap_block, merge_block)
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builder.position_at_end(swap_block)
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minusone = lc.Constant.int(lc.Type.int(64), -1)
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a_swp = builder.mul(minusone, a)
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b_swp = builder.mul(minusone, b)
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builder.branch(merge_block)
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builder.position_at_end(merge_block)
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a_phi = builder.phi(lc.Type.int(64))
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a_phi.add_incoming(a, orig_block)
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a_phi.add_incoming(a_swp, swap_block)
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b_phi = builder.phi(lc.Type.int(64))
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b_phi.add_incoming(b, orig_block)
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b_phi.add_incoming(b_swp, swap_block)
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return a_phi, b_phi
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def _make_ssa(builder, n, d):
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value = lc.Constant.undef(lc.Type.vector(lc.Type.int(64), 2))
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value = builder.insert_element(
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value, numerator, lc.Constant.int(lc.Type.int(), 0))
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value, n, lc.Constant.int(lc.Type.int(), 0))
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value = builder.insert_element(
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value, denominator, lc.Constant.int(lc.Type.int(), 1))
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value, d, lc.Constant.int(lc.Type.int(), 1))
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return value
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@ -52,29 +80,25 @@ class VFraction(VGeneric):
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if not isinstance(other, VFraction):
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raise TypeError
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def _nd(self, builder, invert=False):
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def _nd(self, builder):
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ssa_value = self.get_ssa_value(builder)
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numerator = builder.extract_element(
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a = builder.extract_element(
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ssa_value, lc.Constant.int(lc.Type.int(), 0))
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denominator = builder.extract_element(
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b = builder.extract_element(
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ssa_value, lc.Constant.int(lc.Type.int(), 1))
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if invert:
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return denominator, numerator
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else:
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return numerator, denominator
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return a, b
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def set_value_nd(self, builder, numerator, denominator):
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numerator = numerator.o_int64(builder).get_ssa_value(builder)
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denominator = denominator.o_int64(builder).get_ssa_value(builder)
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numerator, denominator = _frac_normalize(
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builder, numerator, denominator)
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self.set_ssa_value(
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builder, _frac_make_ssa(builder, numerator, denominator))
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def set_value_nd(self, builder, a, b):
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a = a.o_int64(builder).get_ssa_value(builder)
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b = b.o_int64(builder).get_ssa_value(builder)
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a, b = _reduce(builder, a, b)
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a, b = _signnum(builder, a, b)
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self.set_ssa_value(builder, _make_ssa(builder, a, b))
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def set_value(self, builder, n):
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if not isinstance(n, VFraction):
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def set_value(self, builder, v):
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if not isinstance(v, VFraction):
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raise TypeError
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self.set_ssa_value(builder, n.get_ssa_value(builder))
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self.set_ssa_value(builder, v.get_ssa_value(builder))
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def o_getattr(self, attr, builder):
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if attr == "numerator":
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@ -86,7 +110,8 @@ class VFraction(VGeneric):
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r = VInt(64)
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if builder is not None:
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elt = builder.extract_element(
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self.get_ssa_value(builder), lc.Constant.int(lc.Type.int(), idx))
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self.get_ssa_value(builder),
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lc.Constant.int(lc.Type.int(), idx))
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r.set_ssa_value(builder, elt)
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return r
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@ -94,9 +119,9 @@ class VFraction(VGeneric):
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r = VBool()
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if builder is not None:
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zero = lc.Constant.int(lc.Type.int(64), 0)
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numerator = builder.extract_element(
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a = builder.extract_element(
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self.get_ssa_value(builder), lc.Constant.int(lc.Type.int(), 0))
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r.set_ssa_value(builder, builder.icmp(lc.ICMP_NE, numerator, zero))
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r.set_ssa_value(builder, builder.icmp(lc.ICMP_NE, a, zero))
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return r
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def o_intx(self, target_bits, builder):
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@ -104,8 +129,8 @@ class VFraction(VGeneric):
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return VInt(target_bits)
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else:
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r = VInt(64)
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numerator, denominator = self._nd(builder)
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r.set_ssa_value(builder, builder.sdiv(numerator, denominator))
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a, b = self._nd(builder)
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r.set_ssa_value(builder, builder.sdiv(a, b))
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return r.o_intx(target_bits, builder)
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def o_roundx(self, target_bits, builder):
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@ -113,34 +138,36 @@ class VFraction(VGeneric):
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return VInt(target_bits)
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else:
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r = VInt(64)
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numerator, denominator = self._nd(builder)
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h_denominator = builder.ashr(denominator,
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lc.Constant.int(lc.Type.int(), 1))
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r_numerator = builder.add(numerator, h_denominator)
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r.set_ssa_value(builder, builder.sdiv(r_numerator, denominator))
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a, b = self._nd(builder)
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h_b = builder.ashr(b, lc.Constant.int(lc.Type.int(), 1))
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a = builder.add(a, h_b)
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r.set_ssa_value(builder, builder.sdiv(a, b))
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return r.o_intx(target_bits, builder)
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def _o_eq_inv(self, other, builder, ne):
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if isinstance(other, VFraction):
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r = VBool()
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if builder is not None:
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ee = []
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for i in range(2):
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es = builder.extract_element(
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self.get_ssa_value(builder),
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lc.Constant.int(lc.Type.int(), i))
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eo = builder.extract_element(
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other.get_ssa_value(builder),
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lc.Constant.int(lc.Type.int(), i))
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ee.append(builder.icmp(lc.ICMP_EQ, es, eo))
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ssa_r = builder.and_(ee[0], ee[1])
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if ne:
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ssa_r = builder.xor(ssa_r,
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lc.Constant.int(lc.Type.int(1), 1))
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r.set_ssa_value(builder, ssa_r)
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return r
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else:
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if not isinstance(other, (VInt, VFraction)):
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return NotImplemented
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r = VBool()
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if builder is not None:
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if isinstance(other, VInt):
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other = other.o_int64(builder)
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a, b = self._nd(builder)
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ssa_r = builder.and_(
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builder.icmp(lc.ICMP_EQ, a,
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other.get_ssa_value()),
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builder.icmp(lc.ICMP_EQ, b,
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lc.Constant.int(lc.Type.int(64), 1)))
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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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ssa_r = builder.and_(
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builder.icmp(lc.ICMP_EQ, a, c),
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builder.icmp(lc.ICMP_EQ, b, d))
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if ne:
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ssa_r = builder.xor(ssa_r,
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lc.Constant.int(lc.Type.int(1), 1))
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r.set_ssa_value(builder, ssa_r)
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return r
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def o_eq(self, other, builder):
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return self._o_eq_inv(other, builder, False)
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@ -148,44 +175,71 @@ class VFraction(VGeneric):
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def o_ne(self, other, builder):
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return self._o_eq_inv(other, builder, True)
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def _o_muldiv(self, other, builder, div, invert=False):
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r = VFraction()
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if isinstance(other, VInt):
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if builder is None:
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return r
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else:
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numerator, denominator = self._nd(builder, invert)
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i = other.get_ssa_value(builder)
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if div:
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gcd = _call_gcd(builder, i, numerator)
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i = builder.sdiv(i, gcd)
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numerator = builder.sdiv(numerator, gcd)
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denominator = builder.mul(denominator, i)
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else:
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gcd = _call_gcd(builder, i, denominator)
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i = builder.sdiv(i, gcd)
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denominator = builder.sdiv(denominator, gcd)
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numerator = builder.mul(numerator, i)
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self.set_ssa_value(builder, _frac_make_ssa(builder, numerator,
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denominator))
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elif isinstance(other, VFraction):
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if builder is None:
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return r
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else:
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numerator, denominator = self._nd(builder, invert)
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onumerator, odenominator = other._nd(builder)
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if div:
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numerator = builder.mul(numerator, odenominator)
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denominator = builder.mul(denominator, onumerator)
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else:
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numerator = builder.mul(numerator, onumerator)
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denominator = builder.mul(denominator, odenominator)
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numerator, denominator = _frac_normalize(builder, numerator,
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denominator)
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self.set_ssa_value(
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builder, _frac_make_ssa(builder, numerator, denominator))
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else:
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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).get_ssa_value()
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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.set_ssa_value(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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def o_sub(self, other, builder):
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return self._o_addsub(other, builder, True)
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def or_add(self, other, builder):
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return self._o_addsub(other, builder, False)
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def or_sub(self, other, builder):
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return self._o_addsub(other, builder, False, 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 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).get_ssa_value(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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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.set_ssa_value(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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@ -26,6 +26,7 @@ def test_types(choice):
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else:
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return x + c
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class FunctionTypesCase(unittest.TestCase):
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def setUp(self):
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self.ns = infer_function_types(
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@ -39,7 +40,7 @@ class FunctionTypesCase(unittest.TestCase):
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self.assertEqual(self.ns["d"].nbits, 32)
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self.assertIsInstance(self.ns["x"], base_types.VInt)
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self.assertEqual(self.ns["x"].nbits, 64)
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def test_promotion(self):
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for v in "abc":
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self.assertIsInstance(self.ns[v], base_types.VInt)
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@ -80,19 +81,62 @@ def is_prime(x):
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d += 1
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return True
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def simplify_encode(n, d):
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f = Fraction(n, d)
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def simplify_encode(a, b):
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f = Fraction(a, b)
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return f.numerator*1000 + f.denominator
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def arith_encode(op, a, b, c, d):
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if op == 1:
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f = Fraction(a, b) - Fraction(c, d)
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elif op == 2:
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f = Fraction(a, b) + Fraction(c, d)
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elif op == 3:
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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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return f.numerator*1000 + f.denominator
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is_prime_c = CompiledFunction(is_prime, {"x": base_types.VInt()})
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simplify_encode_c = CompiledFunction(
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simplify_encode, {"a": base_types.VInt(), "b": base_types.VInt()})
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arith_encode_c = CompiledFunction(
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arith_encode, {
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"op": base_types.VInt(),
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"a": base_types.VInt(), "b": base_types.VInt(),
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"c": base_types.VInt(), "d": base_types.VInt()})
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class CodeGenCase(unittest.TestCase):
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def test_is_prime(self):
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is_prime_c = CompiledFunction(is_prime, {"x": base_types.VInt()})
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for i in range(200):
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self.assertEqual(is_prime_c(i), is_prime(i))
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def test_frac_simplify(self):
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simplify_encode_c = CompiledFunction(
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simplify_encode, {"n": base_types.VInt(), "d": base_types.VInt()})
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for n in range(5, 20):
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for d in range(5, 20):
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self.assertEqual(simplify_encode_c(n, d), simplify_encode(n, d))
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for a in range(5, 20):
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for b in range(5, 20):
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self.assertEqual(
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simplify_encode_c(a, b), simplify_encode(a, b))
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def _test_frac_arith(self, op):
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for a in range(5, 10):
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for b in range(5, 10):
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for c in range(5, 10):
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for d in range(5, 10):
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self.assertEqual(
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arith_encode_c(op, a, b, c, d),
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arith_encode(op, a, b, c, d))
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def test_frac_add(self):
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self._test_frac_arith(0)
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def test_frac_sub(self):
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self._test_frac_arith(1)
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def test_frac_mul(self):
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self._test_frac_arith(2)
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def test_frac_div(self):
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self._test_frac_arith(3)
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