Ejemplo n.º 1
0
    def compile(self, sig):
        with self._compile_lock:
            # XXX this is mostly duplicated from Dispatcher.
            flags = self.flags
            args, return_type = sigutils.normalize_signature(sig)

            # Don't recompile if signature already exists
            # (e.g. if another thread compiled it before we got the lock)
            existing = self.overloads.get(tuple(args))
            if existing is not None:
                return existing.entry_point

            assert not flags.enable_looplift, "Enable looplift flags is on"
            cres = compiler.compile_ir(typingctx=self.typingctx,
                                       targetctx=self.targetctx,
                                       func_ir=self.func_ir,
                                       args=args, return_type=return_type,
                                       flags=flags, locals=self.locals,
                                       lifted=(),
                                       lifted_from=self.lifted_from)

            # Check typing error if object mode is used
            if cres.typing_error is not None and not flags.enable_pyobject:
                raise cres.typing_error

            self.add_overload(cres)
            return cres.entry_point
Ejemplo n.º 2
0
    def compile(self, sig):
        # Use cache and compiler in a critical section
        with compiler.lock_compiler:
            # Use counter to track recursion compilation depth
            with self._compiling_counter:
                # XXX this is mostly duplicated from Dispatcher.
                flags = self.flags
                args, return_type = sigutils.normalize_signature(sig)

                # Don't recompile if signature already exists
                # (e.g. if another thread compiled it before we got the lock)
                existing = self.overloads.get(tuple(args))
                if existing is not None:
                    return existing.entry_point

                assert not flags.enable_looplift, "Enable looplift flags is on"
                # Clone IR to avoid mutation in rewrite pass
                cloned_func_ir = self.func_ir.copy()
                cres = compiler.compile_ir(typingctx=self.typingctx,
                                           targetctx=self.targetctx,
                                           func_ir=cloned_func_ir,
                                           args=args, return_type=return_type,
                                           flags=flags, locals=self.locals,
                                           lifted=(),
                                           lifted_from=self.lifted_from)

                # Check typing error if object mode is used
                if cres.typing_error is not None and not flags.enable_pyobject:
                    raise cres.typing_error

                self.add_overload(cres)
                return cres.entry_point
Ejemplo n.º 3
0
    def _frontend_looplift(self, state):
        """
        Loop lifting analysis and transformation
        """
        loop_flags = state.flags.copy()
        outer_flags = state.flags.copy()
        # Do not recursively loop lift
        outer_flags.unset('enable_looplift')
        loop_flags.unset('enable_looplift')
        if not state.flags.enable_pyobject_looplift:
            loop_flags.unset('enable_pyobject')

        main, loops = transforms.loop_lifting(state.func_ir,
                                              typingctx=state.typingctx,
                                              targetctx=state.targetctx,
                                              locals=state.locals,
                                              flags=loop_flags)
        if loops:
            # Some loops were extracted
            if config.DEBUG_FRONTEND or config.DEBUG:
                for loop in loops:
                    print("Lifting loop", loop.get_source_location())
            from numba.compiler import compile_ir
            cres = compile_ir(state.typingctx,
                              state.targetctx,
                              main,
                              state.args,
                              state.return_type,
                              outer_flags,
                              state.locals,
                              lifted=tuple(loops),
                              lifted_from=None,
                              is_lifted_loop=True)
            return cres
Ejemplo n.º 4
0
 def run_pass(self, state):
     """
     Extract with-contexts
     """
     main, withs = transforms.with_lifting(
         func_ir=state.func_ir,
         typingctx=state.typingctx,
         targetctx=state.targetctx,
         flags=state.flags,
         locals=state.locals,
     )
     if withs:
         from numba.compiler import compile_ir, _EarlyPipelineCompletion
         cres = compile_ir(state.typingctx,
                           state.targetctx,
                           main,
                           state.args,
                           state.return_type,
                           state.flags,
                           state.locals,
                           lifted=tuple(withs),
                           lifted_from=None,
                           pipeline_class=type(state.pipeline))
         raise _EarlyPipelineCompletion(cres)
     return True
Ejemplo n.º 5
0
    def compile(self, sig):
        with self._compile_lock:
            # XXX this is mostly duplicated from Dispatcher.
            flags = self.flags
            args, return_type = sigutils.normalize_signature(sig)

            # Don't recompile if signature already exists
            # (e.g. if another thread compiled it before we got the lock)
            existing = self.overloads.get(tuple(args))
            if existing is not None:
                return existing.entry_point

            assert not flags.enable_looplift, "Enable looplift flags is on"
            cres = compiler.compile_ir(typingctx=self.typingctx,
                                       targetctx=self.targetctx,
                                       interp=self.interp,
                                       args=args,
                                       return_type=return_type,
                                       flags=flags,
                                       locals=self.locals,
                                       lifted=(),
                                       lifted_from=self.lifted_from)

            # Check typing error if object mode is used
            if cres.typing_error is not None and not flags.enable_pyobject:
                raise cres.typing_error

            self.add_overload(cres)
            return cres.entry_point
Ejemplo n.º 6
0
    def compile(self, sig):
        # Use cache and compiler in a critical section
        with compiler.lock_compiler:
            # Use counter to track recursion compilation depth
            with self._compiling_counter:
                # XXX this is mostly duplicated from Dispatcher.
                flags = self.flags
                args, return_type = sigutils.normalize_signature(sig)

                # Don't recompile if signature already exists
                # (e.g. if another thread compiled it before we got the lock)
                existing = self.overloads.get(tuple(args))
                if existing is not None:
                    return existing.entry_point

                assert not flags.enable_looplift, "Enable looplift flags is on"
                # Clone IR to avoid mutation in rewrite pass
                cloned_func_ir = self.func_ir.copy()
                cres = compiler.compile_ir(typingctx=self.typingctx,
                                           targetctx=self.targetctx,
                                           func_ir=cloned_func_ir,
                                           args=args, return_type=return_type,
                                           flags=flags, locals=self.locals,
                                           lifted=(),
                                           lifted_from=self.lifted_from)

                # Check typing error if object mode is used
                if cres.typing_error is not None and not flags.enable_pyobject:
                    raise cres.typing_error

                self.add_overload(cres)
                return cres.entry_point
 def compile_ir(self, the_ir, args=(), return_type=None):
     typingctx = self.typingctx
     targetctx = self.targetctx
     flags = self.flags
     # Register the contexts in case for nested @jit or @overload calls
     with cpu_target.nested_context(typingctx, targetctx):
         return compile_ir(typingctx, targetctx, the_ir, args,
                           return_type, flags, locals={})
Ejemplo n.º 8
0
    def _stencil_wrapper(self, result, sigret, return_type, typemap, calltypes,
                         *args):
        # Overall approach:
        # 1) Construct a string containing a function definition for the stencil function
        #    that will execute the stencil kernel.  This function definition includes a
        #    unique stencil function name, the parameters to the stencil kernel, loop
        #    nests across the dimenions of the input array.  Those loop nests use the
        #    computed stencil kernel size so as not to try to compute elements where
        #    elements outside the bounds of the input array would be needed.
        # 2) The but of the loop nest in this new function is a special sentinel
        #    assignment.
        # 3) Get the IR of this new function.
        # 4) Split the block containing the sentinel assignment and remove the sentinel
        #    assignment.  Insert the stencil kernel IR into the stencil function IR
        #    after label and variable renaming of the stencil kernel IR to prevent
        #    conflicts with the stencil function IR.
        # 5) Compile the combined stencil function IR + stencil kernel IR into existence.

        # Copy the kernel so that our changes for this callsite
        # won't effect other callsites.
        (kernel_copy,
         copy_calltypes) = self.copy_ir_with_calltypes(self.kernel_ir,
                                                       calltypes)
        # The stencil kernel body becomes the body of a loop, for which args aren't needed.
        ir_utils.remove_args(kernel_copy.blocks)
        first_arg = kernel_copy.arg_names[0]

        in_cps, out_cps = ir_utils.copy_propagate(kernel_copy.blocks, typemap)
        name_var_table = ir_utils.get_name_var_table(kernel_copy.blocks)
        ir_utils.apply_copy_propagate(kernel_copy.blocks, in_cps,
                                      name_var_table, typemap, copy_calltypes)

        if "out" in name_var_table:
            raise ValueError(
                "Cannot use the reserved word 'out' in stencil kernels.")

        sentinel_name = ir_utils.get_unused_var_name("__sentinel__",
                                                     name_var_table)
        if config.DEBUG_ARRAY_OPT == 1:
            print("name_var_table", name_var_table, sentinel_name)

        the_array = args[0]

        if config.DEBUG_ARRAY_OPT == 1:
            print("_stencil_wrapper", return_type, return_type.dtype,
                  type(return_type.dtype), args)
            ir_utils.dump_blocks(kernel_copy.blocks)

        # We generate a Numba function to execute this stencil and here
        # create the unique name of this function.
        stencil_func_name = "__numba_stencil_%s_%s" % (hex(
            id(the_array)).replace("-", "_"), self.id)

        # We will put a loop nest in the generated function for each
        # dimension in the input array.  Here we create the name for
        # the index variable for each dimension.  index0, index1, ...
        index_vars = []
        for i in range(the_array.ndim):
            index_var_name = ir_utils.get_unused_var_name(
                "index" + str(i), name_var_table)
            index_vars += [index_var_name]

        # Create extra signature for out and neighborhood.
        out_name = ir_utils.get_unused_var_name("out", name_var_table)
        neighborhood_name = ir_utils.get_unused_var_name(
            "neighborhood", name_var_table)
        sig_extra = ""
        if result is not None:
            sig_extra += ", {}=None".format(out_name)
        if "neighborhood" in dict(self.kws):
            sig_extra += ", {}=None".format(neighborhood_name)

        # Get a list of the standard indexed array names.
        standard_indexed = self.options.get("standard_indexing", [])

        if first_arg in standard_indexed:
            raise ValueError("The first argument to a stencil kernel must "
                             "use relative indexing, not standard indexing.")

        if len(set(standard_indexed) - set(kernel_copy.arg_names)) != 0:
            raise ValueError("Standard indexing requested for an array name "
                             "not present in the stencil kernel definition.")

        # Add index variables to getitems in the IR to transition the accesses
        # in the kernel from relative to regular Python indexing.  Returns the
        # computed size of the stencil kernel and a list of the relatively indexed
        # arrays.
        kernel_size, relatively_indexed = self.add_indices_to_kernel(
            kernel_copy, index_vars, the_array.ndim, self.neighborhood,
            standard_indexed)
        if self.neighborhood is None:
            self.neighborhood = kernel_size

        if config.DEBUG_ARRAY_OPT == 1:
            print("After add_indices_to_kernel")
            ir_utils.dump_blocks(kernel_copy.blocks)

        # The return in the stencil kernel becomes a setitem for that
        # particular point in the iteration space.
        ret_blocks = self.replace_return_with_setitem(kernel_copy.blocks,
                                                      index_vars, out_name)

        if config.DEBUG_ARRAY_OPT == 1:
            print("After replace_return_with_setitem", ret_blocks)
            ir_utils.dump_blocks(kernel_copy.blocks)

        # Start to form the new function to execute the stencil kernel.
        func_text = "def {}({}{}):\n".format(stencil_func_name,
                                             ",".join(kernel_copy.arg_names),
                                             sig_extra)

        # Get loop ranges for each dimension, which could be either int
        # or variable. In the latter case we'll use the extra neighborhood
        # argument to the function.
        ranges = []
        for i in range(the_array.ndim):
            if isinstance(kernel_size[i][0], int):
                lo = kernel_size[i][0]
                hi = kernel_size[i][1]
            else:
                lo = "{}[{}][0]".format(neighborhood_name, i)
                hi = "{}[{}][1]".format(neighborhood_name, i)
            ranges.append((lo, hi))

        # If there are more than one relatively indexed arrays, add a call to
        # a function that will raise an error if any of the relatively indexed
        # arrays are of different size than the first input array.
        if len(relatively_indexed) > 1:
            func_text += "    raise_if_incompatible_array_sizes(" + first_arg
            for other_array in relatively_indexed:
                if other_array != first_arg:
                    func_text += "," + other_array
            func_text += ")\n"

        # Get the shape of the first input array.
        shape_name = ir_utils.get_unused_var_name("full_shape", name_var_table)
        func_text += "    {} = {}.shape\n".format(shape_name, first_arg)

        # If we have to allocate the output array (the out argument was not used)
        # then us numpy.full if the user specified a cval stencil decorator option
        # or np.zeros if they didn't to allocate the array.
        if result is None:
            return_type_name = numpy_support.as_dtype(
                return_type.dtype).type.__name__
            if "cval" in self.options:
                cval = self.options["cval"]
                if return_type.dtype != typing.typeof.typeof(cval):
                    raise ValueError(
                        "cval type does not match stencil return type.")
                out_init = "{} = np.full({}, {}, dtype=np.{})\n".format(
                    out_name, shape_name, cval, return_type_name)
            else:
                out_init = "{} = np.zeros({}, dtype=np.{})\n".format(
                    out_name, shape_name, return_type_name)
            func_text += "    " + out_init

        offset = 1
        # Add the loop nests to the new function.
        for i in range(the_array.ndim):
            for j in range(offset):
                func_text += "    "
            # ranges[i][0] is the minimum index used in the i'th dimension
            # but minimum's greater than 0 don't preclude any entry in the array.
            # So, take the minimum of 0 and the minimum index found in the kernel
            # and this will be a negative number (potentially -0).  Then, we do
            # unary - on that to get the positive offset in this dimension whose
            # use is precluded.
            # ranges[i][1] is the maximum of 0 and the observed maximum index
            # in this dimension because negative maximums would not cause us to
            # preclude any entry in the array from being used.
            func_text += ("for {} in range(-min(0,{}),"
                          "{}[{}]-max(0,{})):\n").format(
                              index_vars[i], ranges[i][0], shape_name, i,
                              ranges[i][1])
            offset += 1

        for j in range(offset):
            func_text += "    "
        # Put a sentinel in the code so we can locate it in the IR.  We will
        # remove this sentinel assignment and replace it with the IR for the
        # stencil kernel body.
        func_text += "{} = 0\n".format(sentinel_name)
        func_text += "    return {}\n".format(out_name)

        if config.DEBUG_ARRAY_OPT == 1:
            print("new stencil func text")
            print(func_text)

        # Force the new stencil function into existence.
        exec_(func_text) in globals(), locals()
        stencil_func = eval(stencil_func_name)
        if sigret is not None:
            pysig = utils.pysignature(stencil_func)
            sigret.pysig = pysig
        # Get the IR for the newly created stencil function.
        stencil_ir = compiler.run_frontend(stencil_func)
        ir_utils.remove_dels(stencil_ir.blocks)

        # rename all variables in stencil_ir afresh
        var_table = ir_utils.get_name_var_table(stencil_ir.blocks)
        new_var_dict = {}
        reserved_names = (
            [sentinel_name, out_name, neighborhood_name, shape_name] +
            kernel_copy.arg_names + index_vars)
        for name, var in var_table.items():
            if not name in reserved_names:
                new_var_dict[name] = ir_utils.mk_unique_var(name)
        ir_utils.replace_var_names(stencil_ir.blocks, new_var_dict)

        stencil_stub_last_label = max(stencil_ir.blocks.keys()) + 1

        # Shift lables in the kernel copy so they are guaranteed unique
        # and don't conflict with any labels in the stencil_ir.
        kernel_copy.blocks = ir_utils.add_offset_to_labels(
            kernel_copy.blocks, stencil_stub_last_label)
        new_label = max(kernel_copy.blocks.keys()) + 1
        # Adjust ret_blocks to account for addition of the offset.
        ret_blocks = [x + stencil_stub_last_label for x in ret_blocks]

        if config.DEBUG_ARRAY_OPT == 1:
            print("ret_blocks w/ offsets", ret_blocks, stencil_stub_last_label)
            print("before replace sentinel stencil_ir")
            ir_utils.dump_blocks(stencil_ir.blocks)
            print("before replace sentinel kernel_copy")
            ir_utils.dump_blocks(kernel_copy.blocks)

        # Search all the block in the stencil outline for the sentinel.
        for label, block in stencil_ir.blocks.items():
            for i, inst in enumerate(block.body):
                if (isinstance(inst, ir.Assign)
                        and inst.target.name == sentinel_name):
                    # We found the sentinel assignment.
                    loc = inst.loc
                    scope = block.scope
                    # split block across __sentinel__
                    # A new block is allocated for the statements prior to the
                    # sentinel but the new block maintains the current block
                    # label.
                    prev_block = ir.Block(scope, loc)
                    prev_block.body = block.body[:i]
                    # The current block is used for statements after sentinel.
                    block.body = block.body[i + 1:]
                    # But the current block gets a new label.
                    body_first_label = min(kernel_copy.blocks.keys())

                    # The previous block jumps to the minimum labelled block of
                    # the parfor body.
                    prev_block.append(ir.Jump(body_first_label, loc))
                    # Add all the parfor loop body blocks to the gufunc
                    # function's IR.
                    for (l, b) in kernel_copy.blocks.items():
                        stencil_ir.blocks[l] = b

                    stencil_ir.blocks[new_label] = block
                    stencil_ir.blocks[label] = prev_block
                    # Add a jump from all the blocks that previously contained
                    # a return in the stencil kernel to the block
                    # containing statements after the sentinel.
                    for ret_block in ret_blocks:
                        stencil_ir.blocks[ret_block].append(
                            ir.Jump(new_label, loc))
                    break
            else:
                continue
            break

        stencil_ir.blocks = ir_utils.rename_labels(stencil_ir.blocks)
        ir_utils.remove_dels(stencil_ir.blocks)

        assert (isinstance(the_array, types.Type))
        array_types = args

        new_stencil_param_types = list(array_types)

        if config.DEBUG_ARRAY_OPT == 1:
            print("new_stencil_param_types", new_stencil_param_types)
            ir_utils.dump_blocks(stencil_ir.blocks)

        # Compile the combined stencil function with the replaced loop
        # body in it.
        new_func = compiler.compile_ir(self._typingctx, self._targetctx,
                                       stencil_ir, new_stencil_param_types,
                                       None, compiler.DEFAULT_FLAGS, {})
        return new_func
Ejemplo n.º 9
0
    def _stencil_wrapper(self, result, sigret, return_type, typemap, calltypes, *args):
        # Overall approach:
        # 1) Construct a string containing a function definition for the stencil function
        #    that will execute the stencil kernel.  This function definition includes a
        #    unique stencil function name, the parameters to the stencil kernel, loop
        #    nests across the dimenions of the input array.  Those loop nests use the
        #    computed stencil kernel size so as not to try to compute elements where
        #    elements outside the bounds of the input array would be needed.
        # 2) The but of the loop nest in this new function is a special sentinel
        #    assignment.
        # 3) Get the IR of this new function.
        # 4) Split the block containing the sentinel assignment and remove the sentinel
        #    assignment.  Insert the stencil kernel IR into the stencil function IR
        #    after label and variable renaming of the stencil kernel IR to prevent
        #    conflicts with the stencil function IR.
        # 5) Compile the combined stencil function IR + stencil kernel IR into existence.

        # Copy the kernel so that our changes for this callsite
        # won't effect other callsites.
        (kernel_copy, copy_calltypes) = self.copy_ir_with_calltypes(
                                            self.kernel_ir, calltypes)
        # The stencil kernel body becomes the body of a loop, for which args aren't needed.
        ir_utils.remove_args(kernel_copy.blocks)
        first_arg = kernel_copy.arg_names[0]

        in_cps, out_cps = ir_utils.copy_propagate(kernel_copy.blocks, typemap)
        name_var_table = ir_utils.get_name_var_table(kernel_copy.blocks)
        ir_utils.apply_copy_propagate(
            kernel_copy.blocks,
            in_cps,
            name_var_table,
            typemap,
            copy_calltypes)

        if "out" in name_var_table:
            raise ValueError("Cannot use the reserved word 'out' in stencil kernels.")

        sentinel_name = ir_utils.get_unused_var_name("__sentinel__", name_var_table)
        if config.DEBUG_ARRAY_OPT == 1:
            print("name_var_table", name_var_table, sentinel_name)

        the_array = args[0]

        if config.DEBUG_ARRAY_OPT == 1:
            print("_stencil_wrapper", return_type, return_type.dtype,
                                      type(return_type.dtype), args)
            ir_utils.dump_blocks(kernel_copy.blocks)

        # We generate a Numba function to execute this stencil and here
        # create the unique name of this function.
        stencil_func_name = "__numba_stencil_%s_%s" % (
                                        hex(id(the_array)).replace("-", "_"),
                                        self.id)

        # We will put a loop nest in the generated function for each
        # dimension in the input array.  Here we create the name for
        # the index variable for each dimension.  index0, index1, ...
        index_vars = []
        for i in range(the_array.ndim):
            index_var_name = ir_utils.get_unused_var_name("index" + str(i),
                                                          name_var_table)
            index_vars += [index_var_name]

        # Create extra signature for out and neighborhood.
        out_name = ir_utils.get_unused_var_name("out", name_var_table)
        neighborhood_name = ir_utils.get_unused_var_name("neighborhood",
                                                         name_var_table)
        sig_extra = ""
        if result is not None:
            sig_extra += ", {}=None".format(out_name)
        if "neighborhood" in dict(self.kws):
            sig_extra += ", {}=None".format(neighborhood_name)

        # Get a list of the standard indexed array names.
        standard_indexed = self.options.get("standard_indexing", [])

        if first_arg in standard_indexed:
            raise ValueError("The first argument to a stencil kernel must "
                             "use relative indexing, not standard indexing.")

        if len(set(standard_indexed) - set(kernel_copy.arg_names)) != 0:
            raise ValueError("Standard indexing requested for an array name "
                             "not present in the stencil kernel definition.")

        # Add index variables to getitems in the IR to transition the accesses
        # in the kernel from relative to regular Python indexing.  Returns the
        # computed size of the stencil kernel and a list of the relatively indexed
        # arrays.
        kernel_size, relatively_indexed = self.add_indices_to_kernel(
                kernel_copy, index_vars, the_array.ndim,
                self.neighborhood, standard_indexed)
        if self.neighborhood is None:
            self.neighborhood = kernel_size

        if config.DEBUG_ARRAY_OPT == 1:
            print("After add_indices_to_kernel")
            ir_utils.dump_blocks(kernel_copy.blocks)

        # The return in the stencil kernel becomes a setitem for that
        # particular point in the iteration space.
        ret_blocks = self.replace_return_with_setitem(kernel_copy.blocks,
                                                      index_vars, out_name)

        if config.DEBUG_ARRAY_OPT == 1:
            print("After replace_return_with_setitem", ret_blocks)
            ir_utils.dump_blocks(kernel_copy.blocks)

        # Start to form the new function to execute the stencil kernel.
        func_text = "def {}({}{}):\n".format(stencil_func_name,
                        ",".join(kernel_copy.arg_names), sig_extra)

        # Get loop ranges for each dimension, which could be either int
        # or variable. In the latter case we'll use the extra neighborhood
        # argument to the function.
        ranges = []
        for i in range(the_array.ndim):
            if isinstance(kernel_size[i][0], int):
                lo = kernel_size[i][0]
                hi = kernel_size[i][1]
            else:
                lo = "{}[{}][0]".format(neighborhood_name, i)
                hi = "{}[{}][1]".format(neighborhood_name, i)
            ranges.append((lo, hi))

        # If there are more than one relatively indexed arrays, add a call to
        # a function that will raise an error if any of the relatively indexed
        # arrays are of different size than the first input array.
        if len(relatively_indexed) > 1:
            func_text += "    raise_if_incompatible_array_sizes(" + first_arg
            for other_array in relatively_indexed:
                if other_array != first_arg:
                    func_text += "," + other_array
            func_text += ")\n"

        # Get the shape of the first input array.
        shape_name = ir_utils.get_unused_var_name("full_shape", name_var_table)
        func_text += "    {} = {}.shape\n".format(shape_name, first_arg)


        # If we have to allocate the output array (the out argument was not used)
        # then us numpy.full if the user specified a cval stencil decorator option
        # or np.zeros if they didn't to allocate the array.
        if result is None:
            if "cval" in self.options:
                cval = self.options["cval"]
                if return_type.dtype != typing.typeof.typeof(cval):
                    raise ValueError(
                        "cval type does not match stencil return type.")

                out_init ="{} = np.full({}, {}, dtype=np.{})\n".format(
                            out_name, shape_name, cval, return_type.dtype)

            else:
                out_init ="{} = np.zeros({}, dtype=np.{})\n".format(
                            out_name, shape_name, return_type.dtype)
            func_text += "    " + out_init

        offset = 1
        # Add the loop nests to the new function.
        for i in range(the_array.ndim):
            for j in range(offset):
                func_text += "    "
            # ranges[i][0] is the minimum index used in the i'th dimension
            # but minimum's greater than 0 don't preclude any entry in the array.
            # So, take the minimum of 0 and the minimum index found in the kernel
            # and this will be a negative number (potentially -0).  Then, we do
            # unary - on that to get the positive offset in this dimension whose
            # use is precluded.
            # ranges[i][1] is the maximum of 0 and the observed maximum index
            # in this dimension because negative maximums would not cause us to
            # preclude any entry in the array from being used.
            func_text += ("for {} in range(-min(0,{}),"
                          "{}[{}]-max(0,{})):\n").format(
                            index_vars[i],
                            ranges[i][0],
                            shape_name,
                            i,
                            ranges[i][1])
            offset += 1

        for j in range(offset):
            func_text += "    "
        # Put a sentinel in the code so we can locate it in the IR.  We will
        # remove this sentinel assignment and replace it with the IR for the
        # stencil kernel body.
        func_text += "{} = 0\n".format(sentinel_name)
        func_text += "    return {}\n".format(out_name)

        if config.DEBUG_ARRAY_OPT == 1:
            print("new stencil func text")
            print(func_text)

        # Force the new stencil function into existence.
        exec_(func_text) in globals(), locals()
        stencil_func = eval(stencil_func_name)
        if sigret is not None:
            pysig = utils.pysignature(stencil_func)
            sigret.pysig = pysig
        # Get the IR for the newly created stencil function.
        stencil_ir = compiler.run_frontend(stencil_func)
        ir_utils.remove_dels(stencil_ir.blocks)

        # rename all variables in stencil_ir afresh
        var_table = ir_utils.get_name_var_table(stencil_ir.blocks)
        new_var_dict = {}
        reserved_names = ([sentinel_name, out_name, neighborhood_name,
                           shape_name] + kernel_copy.arg_names + index_vars)
        for name, var in var_table.items():
            if not name in reserved_names:
                new_var_dict[name] = ir_utils.mk_unique_var(name)
        ir_utils.replace_var_names(stencil_ir.blocks, new_var_dict)

        stencil_stub_last_label = max(stencil_ir.blocks.keys()) + 1

        # Shift lables in the kernel copy so they are guaranteed unique
        # and don't conflict with any labels in the stencil_ir.
        kernel_copy.blocks = ir_utils.add_offset_to_labels(
                                kernel_copy.blocks, stencil_stub_last_label)
        new_label = max(kernel_copy.blocks.keys()) + 1
        # Adjust ret_blocks to account for addition of the offset.
        ret_blocks = [x + stencil_stub_last_label for x in ret_blocks]

        if config.DEBUG_ARRAY_OPT == 1:
            print("ret_blocks w/ offsets", ret_blocks, stencil_stub_last_label)
            print("before replace sentinel stencil_ir")
            ir_utils.dump_blocks(stencil_ir.blocks)
            print("before replace sentinel kernel_copy")
            ir_utils.dump_blocks(kernel_copy.blocks)

        # Search all the block in the stencil outline for the sentinel.
        for label, block in stencil_ir.blocks.items():
            for i, inst in enumerate(block.body):
                if (isinstance( inst, ir.Assign) and
                    inst.target.name == sentinel_name):
                    # We found the sentinel assignment.
                    loc = inst.loc
                    scope = block.scope
                    # split block across __sentinel__
                    # A new block is allocated for the statements prior to the
                    # sentinel but the new block maintains the current block
                    # label.
                    prev_block = ir.Block(scope, loc)
                    prev_block.body = block.body[:i]
                    # The current block is used for statements after sentinel.
                    block.body = block.body[i + 1:]
                    # But the current block gets a new label.
                    body_first_label = min(kernel_copy.blocks.keys())

                    # The previous block jumps to the minimum labelled block of
                    # the parfor body.
                    prev_block.append(ir.Jump(body_first_label, loc))
                    # Add all the parfor loop body blocks to the gufunc
                    # function's IR.
                    for (l, b) in kernel_copy.blocks.items():
                        stencil_ir.blocks[l] = b

                    stencil_ir.blocks[new_label] = block
                    stencil_ir.blocks[label] = prev_block
                    # Add a jump from all the blocks that previously contained
                    # a return in the stencil kernel to the block
                    # containing statements after the sentinel.
                    for ret_block in ret_blocks:
                        stencil_ir.blocks[ret_block].append(
                            ir.Jump(new_label, loc))
                    break
            else:
                continue
            break

        stencil_ir.blocks = ir_utils.rename_labels(stencil_ir.blocks)
        ir_utils.remove_dels(stencil_ir.blocks)

        assert(isinstance(the_array, types.Type))
        array_types = args

        new_stencil_param_types = list(array_types)

        if config.DEBUG_ARRAY_OPT == 1:
            print("new_stencil_param_types", new_stencil_param_types)
            ir_utils.dump_blocks(stencil_ir.blocks)

        # Compile the combined stencil function with the replaced loop
        # body in it.
        new_func = compiler.compile_ir(
            self._typingctx,
            self._targetctx,
            stencil_ir,
            new_stencil_param_types,
            None,
            compiler.DEFAULT_FLAGS,
            {})
        return new_func