File: reduction.h

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#pragma once

#include <torch/csrc/jit/tensorexpr/dim_arg.h>
#include <torch/csrc/jit/tensorexpr/expr.h>
#include <torch/csrc/jit/tensorexpr/ir.h>
#include <torch/csrc/jit/tensorexpr/ir_printer.h>
#include <torch/csrc/jit/tensorexpr/tensor.h>
#include <torch/csrc/jit/tensorexpr/types.h>

#include <functional>
#include <vector>

namespace torch {
namespace jit {
namespace tensorexpr {

using ParameterList = const std::vector<VarHandle>;
using ReduceInteraction = std::function<ExprHandle(ExprHandle, ExprHandle)>;

// An expression representing a Reduction operation (e.g. Sum, Max) broken into
// it's component parts: initialization, accumulation var, acquisition of value
// to be reduced and interaction.
//
// This is intended to be expanded in the loopnest and not make it to codegen.
class ReduceOp : public ExprNode<ReduceOp> {
 public:
  ReduceOp(
      const Buf* accum,
      ExprHandle body,
      ReduceInteraction c,
      const std::vector<const Expr*>& output_args,
      const std::vector<const Var*>& reduce_args)
      : ExprNodeBase(body.dtype()),
        accumulator_(accum),
        body_(body),
        interaction_(c),
        output_args_(output_args),
        reduce_args_(reduce_args) {}

  // return the accumulation load expression.
  const Buf* accumulator() const {
    return accumulator_;
  }

  // return the body expression which obtains the value to be reduced.
  ExprHandle body() const {
    return body_;
  }

  // returns a function encoding the interaction between accumulator and the
  // reduction value.
  ReduceInteraction interaction() const {
    return interaction_;
  }

  // returns variables associated with the output Tensor.
  const std::vector<const Expr*>& output_args() const {
    return output_args_;
  }

  // returns variables associated with the axes of reduction.
  const std::vector<const Var*>& reduce_args() const {
    return reduce_args_;
  }

  // Completes the reduction operator by applying the interaction function to
  // the accumulation and the body expression.
  ExprHandle complete() const {
    std::vector<const Expr*> indices(output_args_.begin(), output_args_.end());
    ExprHandle accum = ExprHandle(
        new Load(body_.dtype(), accumulator_, indices, new IntImm(1)));
    auto e = interaction_(accum, body_);
    return e;
  }

 private:
  const Buf* accumulator_;
  ExprHandle body_;
  ReduceInteraction interaction_;
  std::vector<const Expr*> output_args_;
  std::vector<const Var*> reduce_args_;
};

// A Reducer is a user interface describing a particular reduction
// operation. It has three components: An initialization value, a way of
// interacting each value with the accumulation, and a method for obtaining the
// current value to be reduced. It is materialized into a ReduceOp when loop
// variables are known.
class Reducer {
 public:
  Reducer(ExprHandle init, ReduceInteraction& interaction)
      : init_(init.node()), interaction_(interaction) {}

  Reducer(ExprHandle init, ReduceInteraction& interaction, Placeholder& buf)
      : init_(init.node()), interaction_(interaction) {}

  template <typename RI>
  Reducer(ExprHandle init, RI interaction) : init_(init.node()) {
    interaction_ = interaction;
  }

  const Expr* initializer() const {
    return init_;
  }

  ReduceOp* operator()(
      Buf* result_buf,
      ExprHandle body,
      std::vector<const Expr*> output,
      std::vector<const Var*> inner) const {
    return new ReduceOp(result_buf, body, interaction_, output, inner);
  }

  // Polymorphic handling of Body functions with a variety of parameters.
  static ExprHandle getReduceBody(
      const std::function<ExprHandle(ParameterList&)>& func,
      const std::vector<VarHandle>& vars) {
    return func(vars);
  }

  static ExprHandle getReduceBody(
      const std::function<ExprHandle(const VarHandle&)>& func,
      const std::vector<VarHandle>& vars) {
    if (vars.size() != 1) {
      throw malformed_input("mismatch between reduce body and arg size (1)");
    }

    return func(vars[0]);
  }

  static ExprHandle getReduceBody(
      const std::function<ExprHandle(const VarHandle&, const VarHandle&)>& func,
      const std::vector<VarHandle>& vars) {
    if (vars.size() != 2) {
      throw malformed_input("mismatch between reduce body and arg size (2)");
    }
    return func(vars[0], vars[1]);
  }

  static ExprHandle getReduceBody(
      const std::function<
          ExprHandle(const VarHandle&, const VarHandle&, const VarHandle&)>&
          func,
      const std::vector<VarHandle>& vars) {
    if (vars.size() != 3) {
      throw malformed_input("mismatch between reduce body and arg size (3)");
    }
    return func(vars[0], vars[1], vars[2]);
  }

  static ExprHandle getReduceBody(
      const std::function<ExprHandle(
          const VarHandle&,
          const VarHandle&,
          const VarHandle&,
          const VarHandle&)>& func,
      const std::vector<VarHandle>& vars) {
    if (vars.size() != 4) {
      throw malformed_input("mismatch between reduce body and arg size (4)");
    }
    return func(vars[0], vars[1], vars[2], vars[3]);
  }

 private:
  const Expr* init_;
  ReduceInteraction interaction_;
};

class Sum : public Reducer {
 public:
  Sum()
      : Reducer(ExprHandle(0), [](ExprHandle a, ExprHandle b) {
          return a + b;
        }) {}
};

inline ExprHandle maximumVal(ScalarType type) {
  switch (type) {
#define MAX_BY_TYPE_CASE(Type, Name) \
  case ScalarType::Name:             \
    return ExprHandle(std::numeric_limits<Type>::max());
    AT_FORALL_SCALAR_TYPES_AND2(Bool, Half, MAX_BY_TYPE_CASE)
#undef MAX_BY_TYPE_CASE
    default:
      throw unsupported_dtype();
  }
  return ExprHandle();
}

inline ExprHandle minimumVal(ScalarType type) {
  switch (type) {
#define MAX_BY_TYPE_CASE(Type, Name) \
  case ScalarType::Name:             \
    return ExprHandle(std::numeric_limits<Type>::min());
    AT_FORALL_SCALAR_TYPES_AND2(Bool, Half, MAX_BY_TYPE_CASE)
#undef MAX_BY_TYPE_CASE
    default:
      throw unsupported_dtype();
  }
}

class Maximum : public Reducer {
 public:
  // TODO possible to remove this arg by deferring the init value until we know
  // the dtype of the body.
  Maximum(Dtype dtype)
      : Reducer(
            minimumVal(dtype.scalar_type()),
            [](ExprHandle a, ExprHandle b) { return Max::make(a, b, true); }) {}
  Maximum(ExprHandle initializer)
      : Reducer(initializer, [](ExprHandle a, ExprHandle b) {
          return Max::make(a, b, true);
        }) {}
};

class Minimum : public Reducer {
 public:
  Minimum(Dtype dtype)
      : Reducer(
            maximumVal(dtype.scalar_type()),
            [](ExprHandle a, ExprHandle b) { return Min::make(a, b, true); }) {}
  Minimum(ExprHandle initializer)
      : Reducer(initializer, [](ExprHandle a, ExprHandle b) {
          return Min::make(a, b, true);
        }) {}
};

class ReductionExpander : public IRMutator {
 public:
  Stmt* expand(Stmt* s) {
    return s->accept_mutator(this);
  }

  const Expr* mutate(const ReduceOp* v) override {
    return v->complete().node();
  }
};

} // namespace tensorexpr
} // namespace jit
} // namespace torch