[/
            Copyright Hans Dembinski 2018 - 2019.
   Distributed under the Boost Software License, Version 1.0.
      (See accompanying file LICENSE_1_0.txt or copy at
            https://www.boost.org/LICENSE_1_0.txt)
]

[section:Accumulator Accumulator]

An [*Accumulator] is a functor which consumes the argument to update some internal state. The state can be read with member functions or free functions. Must be [@https://en.cppreference.com/w/cpp/named_req/DefaultConstructible DefaultConstructible], [@https://en.cppreference.com/w/cpp/named_req/CopyConstructible CopyConstructible], and [@https://en.cppreference.com/w/cpp/named_req/CopyAssignable CopyAssignable].

[heading Required features]

* `A` is a type meeting the requirements of [*Accumulator]
* `a` and `b` are values of type `A`
* `ts...` is a pack of values of arbitrary types

[table Valid expressions
[[Expression] [Returns] [Semantics, Pre/Post-conditions]]
[
  [`a(ts...)` or `++a`]
  []
  [
    Either a call operator accepting a fixed number of arguments must be implemented, or the pre-increment operator. The call operator may not be templated and not overloaded, except to support weights as described under optional features.
  ]
]
[
  [`a == b`]
  [`bool`]
  [
    Returns `true` if all state variables compare equal. Otherwise returns `false`.
  ]
]
[
  [`a != b`]
  [`bool`]
  [
    Must be implemented if `a == b` is implemented and must be equal to `!(a == b)`.
  ]
]
]

[heading Optional features]

* `A` is a type meeting the requirements of [*Accumulator]
* `a` and `b` are values of type `A`
* `w` is a value of type [classref boost::histogram::weight_type], where `T` is a number type
* `ts...` is a pack of values of arbitrary types
* `v` is a number value (integral or floating point)

[table Valid expressions
[[Expression] [Return] [Semantics, Pre/Post-conditions]]
[
  [`a += v` or `a(w, ts...)`]
  []
  [
    Does a weighted fill of the accumulator. Use this to implement weight support for an accumulator that is normally filled with `++a` or `a(ts...)`, respectively. Only the corresponding matching form may be implemented: `a += v` for `++a`, `a(w, ts...)` for `a(ts...)`. The implementations may not be templated and not overloaded.
  ]
]
[
  [`a += b`]
  [`A&`]
  [
    Adds a second accumulator `b` of type `A`. The result must be the same as if `a` had been filled with all arguments of `b`.
  ]
]
[
  [`a *= x`]
  [`A&`]
  [
    Scales the accumulator state by the real value `x`. The result must be the same as if `a` had been filled with all arguments scaled by `x`.
  ]
]
[
  [`os << a`]
  [`std::basic_ostream<CharT, Traits>&`]
  [
    `os` is a value of type `std::basic_ostream<CharT, Traits>`. Streams a text representation of the axis. May not mutate `a`.
  ]
]
[
  [`a.serialize(ar, n)`]
  []
  [
    `ar` is a value of an archive with Boost.Serialization semantics and `n` is an unsigned integral value. Saves to the archive or loads serialized state from the archive. The version number `n` is the stored version when the object is loaded or the current version when the object is saved.
  ]
]
]

[heading Models]

* [classref boost::histogram::accumulators::sum]
* [classref boost::histogram::accumulators::weighted_sum]
* [classref boost::histogram::accumulators::mean]
* [classref boost::histogram::accumulators::weighted_mean]

[endsect]