artiq/artiq/py2llvm/fractions.py

359 lines
12 KiB
Python

import inspect
import ast
import llvmlite.ir as ll
from artiq.py2llvm.values import VGeneric, operators
from artiq.py2llvm.base_types import VBool, VInt, VFloat
def _gcd(a, b):
if a < 0:
a = -a
while a:
c = a
a = b % a
b = c
return b
def init_module(module):
func_def = ast.parse(inspect.getsource(_gcd)).body[0]
function, _ = module.compile_function(func_def,
{"a": VInt(64), "b": VInt(64)})
function.linkage = "internal"
def _reduce(builder, a, b):
module = builder.basic_block.function.module
for f in module.functions:
if f.name == "_gcd":
gcd_f = f
break
gcd = builder.call(gcd_f, [a, b])
a = builder.sdiv(a, gcd)
b = builder.sdiv(b, gcd)
return a, b
def _signnum(builder, a, b):
function = builder.basic_block.function
orig_block = builder.basic_block
swap_block = function.append_basic_block("sn_swap")
merge_block = function.append_basic_block("sn_merge")
condition = builder.icmp_signed(
"<", b, ll.Constant(ll.IntType(64), 0))
builder.cbranch(condition, swap_block, merge_block)
builder.position_at_end(swap_block)
minusone = ll.Constant(ll.IntType(64), -1)
a_swp = builder.mul(minusone, a)
b_swp = builder.mul(minusone, b)
builder.branch(merge_block)
builder.position_at_end(merge_block)
a_phi = builder.phi(ll.IntType(64))
a_phi.add_incoming(a, orig_block)
a_phi.add_incoming(a_swp, swap_block)
b_phi = builder.phi(ll.IntType(64))
b_phi.add_incoming(b, orig_block)
b_phi.add_incoming(b_swp, swap_block)
return a_phi, b_phi
def _make_ssa(builder, n, d):
value = ll.Constant(ll.ArrayType(ll.IntType(64), 2), ll.Undefined)
value = builder.insert_value(value, n, 0)
value = builder.insert_value(value, d, 1)
return value
class VFraction(VGeneric):
def get_llvm_type(self):
return ll.ArrayType(ll.IntType(64), 2)
def _nd(self, builder):
ssa_value = self.auto_load(builder)
a = builder.extract_value(ssa_value, 0)
b = builder.extract_value(ssa_value, 1)
return a, b
def set_value_nd(self, builder, a, b):
a = a.o_int64(builder).auto_load(builder)
b = b.o_int64(builder).auto_load(builder)
a, b = _reduce(builder, a, b)
a, b = _signnum(builder, a, b)
self.auto_store(builder, _make_ssa(builder, a, b))
def set_value(self, builder, v):
if not isinstance(v, VFraction):
raise TypeError
self.auto_store(builder, v.auto_load(builder))
def o_getattr(self, attr, builder):
if attr == "numerator":
idx = 0
elif attr == "denominator":
idx = 1
else:
raise AttributeError
r = VInt(64)
if builder is not None:
elt = builder.extract_value(self.auto_load(builder), idx)
r.auto_store(builder, elt)
return r
def o_bool(self, builder):
r = VBool()
if builder is not None:
zero = ll.Constant(ll.IntType(64), 0)
a = builder.extract_element(self.auto_load(builder), 0)
r.auto_store(builder, builder.icmp_signed("!=", a, zero))
return r
def o_intx(self, target_bits, builder):
if builder is None:
return VInt(target_bits)
else:
r = VInt(64)
a, b = self._nd(builder)
r.auto_store(builder, builder.sdiv(a, b))
return r.o_intx(target_bits, builder)
def o_roundx(self, target_bits, builder):
if builder is None:
return VInt(target_bits)
else:
r = VInt(64)
a, b = self._nd(builder)
h_b = builder.ashr(b, ll.Constant(ll.IntType(64), 1))
function = builder.basic_block.function
add_block = function.append_basic_block("fr_add")
sub_block = function.append_basic_block("fr_sub")
merge_block = function.append_basic_block("fr_merge")
condition = builder.icmp_signed(
"<", a, ll.Constant(ll.IntType(64), 0))
builder.cbranch(condition, sub_block, add_block)
builder.position_at_end(add_block)
a_add = builder.add(a, h_b)
builder.branch(merge_block)
builder.position_at_end(sub_block)
a_sub = builder.sub(a, h_b)
builder.branch(merge_block)
builder.position_at_end(merge_block)
a = builder.phi(ll.IntType(64))
a.add_incoming(a_add, add_block)
a.add_incoming(a_sub, sub_block)
r.auto_store(builder, builder.sdiv(a, b))
return r.o_intx(target_bits, builder)
def o_float(self, builder):
r = VFloat()
if builder is not None:
a, b = self._nd(builder)
af = builder.sitofp(a, r.get_llvm_type())
bf = builder.sitofp(b, r.get_llvm_type())
r.auto_store(builder, builder.fdiv(af, bf))
return r
def _o_eq_inv(self, other, builder, ne):
if not isinstance(other, (VInt, VFraction)):
return NotImplemented
r = VBool()
if builder is not None:
if isinstance(other, VInt):
other = other.o_int64(builder)
a, b = self._nd(builder)
ssa_r = builder.and_(
builder.icmp_signed("==", a,
other.auto_load()),
builder.icmp_signed("==", b,
ll.Constant(ll.IntType(64), 1)))
else:
a, b = self._nd(builder)
c, d = other._nd(builder)
ssa_r = builder.and_(
builder.icmp_signed("==", a, c),
builder.icmp_signed("==", b, d))
if ne:
ssa_r = builder.xor(ssa_r,
ll.Constant(ll.IntType(1), 1))
r.auto_store(builder, ssa_r)
return r
def o_eq(self, other, builder):
return self._o_eq_inv(other, builder, False)
def o_ne(self, other, builder):
return self._o_eq_inv(other, builder, True)
def _o_cmp(self, other, icmp, builder):
diff = self.o_sub(other, builder)
if diff is NotImplemented:
return NotImplemented
r = VBool()
if builder is not None:
diff = diff.auto_load(builder)
a = builder.extract_value(diff, 0)
zero = ll.Constant(ll.IntType(64), 0)
ssa_r = builder.icmp_signed(icmp, a, zero)
r.auto_store(builder, ssa_r)
return r
def o_lt(self, other, builder):
return self._o_cmp(other, "<", builder)
def o_le(self, other, builder):
return self._o_cmp(other, "<=", builder)
def o_gt(self, other, builder):
return self._o_cmp(other, ">", builder)
def o_ge(self, other, builder):
return self._o_cmp(other, ">=", builder)
def _o_addsub(self, other, builder, sub, invert=False):
if isinstance(other, VFloat):
a = self.o_getattr("numerator", builder)
b = self.o_getattr("denominator", builder)
if sub:
if invert:
return operators.truediv(
operators.sub(operators.mul(other,
b,
builder),
a,
builder),
b,
builder)
else:
return operators.truediv(
operators.sub(a,
operators.mul(other,
b,
builder),
builder),
b,
builder)
else:
return operators.truediv(
operators.add(operators.mul(other,
b,
builder),
a,
builder),
b,
builder)
else:
if not isinstance(other, (VFraction, VInt)):
return NotImplemented
r = VFraction()
if builder is not None:
if isinstance(other, VInt):
i = other.o_int64(builder).auto_load(builder)
x, rd = self._nd(builder)
y = builder.mul(rd, i)
else:
a, b = self._nd(builder)
c, d = other._nd(builder)
rd = builder.mul(b, d)
x = builder.mul(a, d)
y = builder.mul(c, b)
if sub:
if invert:
rn = builder.sub(y, x)
else:
rn = builder.sub(x, y)
else:
rn = builder.add(x, y)
rn, rd = _reduce(builder, rn, rd) # rd is already > 0
r.auto_store(builder, _make_ssa(builder, rn, rd))
return r
def o_add(self, other, builder):
return self._o_addsub(other, builder, False)
def o_sub(self, other, builder):
return self._o_addsub(other, builder, True)
def or_add(self, other, builder):
return self._o_addsub(other, builder, False)
def or_sub(self, other, builder):
return self._o_addsub(other, builder, True, True)
def _o_muldiv(self, other, builder, div, invert=False):
if isinstance(other, VFloat):
a = self.o_getattr("numerator", builder)
b = self.o_getattr("denominator", builder)
if invert:
a, b = b, a
if div:
return operators.truediv(a,
operators.mul(b, other, builder),
builder)
else:
return operators.truediv(operators.mul(a, other, builder),
b,
builder)
else:
if not isinstance(other, (VFraction, VInt)):
return NotImplemented
r = VFraction()
if builder is not None:
a, b = self._nd(builder)
if invert:
a, b = b, a
if isinstance(other, VInt):
i = other.o_int64(builder).auto_load(builder)
if div:
b = builder.mul(b, i)
else:
a = builder.mul(a, i)
else:
c, d = other._nd(builder)
if div:
a = builder.mul(a, d)
b = builder.mul(b, c)
else:
a = builder.mul(a, c)
b = builder.mul(b, d)
if div or invert:
a, b = _signnum(builder, a, b)
a, b = _reduce(builder, a, b)
r.auto_store(builder, _make_ssa(builder, a, b))
return r
def o_mul(self, other, builder):
return self._o_muldiv(other, builder, False)
def o_truediv(self, other, builder):
return self._o_muldiv(other, builder, True)
def or_mul(self, other, builder):
return self._o_muldiv(other, builder, False)
def or_truediv(self, other, builder):
# multiply by the inverse
return self._o_muldiv(other, builder, False, True)
def o_floordiv(self, other, builder):
r = self.o_truediv(other, builder)
if r is NotImplemented:
return r
else:
return r.o_int(builder)
def or_floordiv(self, other, builder):
r = self.or_truediv(other, builder)
if r is NotImplemented:
return r
else:
return r.o_int(builder)