Howard E. Hinnant
2016-05-21

iso_week

Contents

Introduction

This paper fully documents an ISO week date calendar that is fully interoperable with date.

Implementation

This entire library is implemented in a single header: iso_week.h and is open source using the MIT license.

Overview

This library creates field types that hold the year, week number and weekday associated with a ISO week date. For example, to specify the Saturday of the 51st week of 2015 one can say:

#include "iso_week.h"
#include <iostream>

int
main()
{
    using namespace iso_week::literals;
    auto iso_date = sat/51/2015;
    std::cout << iso_date << '\n';
}

The output of this program is:

2015-W51-Sat

In this example iso_date has type iso_week::year_weeknum_weekday, and this type does nothing but hold the three quantities: year, weeknum and weekday. This is such trivial functionality that it almost seems useless. Anyone can write a type to be constructed from three values, and then print them back out when requested.

The real power of year_weeknum_weekday is that it can implicitly convert to and from sys_days. And sys_days is just a type alias for:

std::chrono::time_point<std::chrono::system_clock, days>

This is the exact same sys_days used by the date and time zone libraries. And so by simply having conversions to and from sys_days, iso_week::year_weeknum_weekday becomes seamlessly interoperable with all of the types in date and time zone such as date::year_month_day and date::Zone:

#include "date.h"
#include "iso_week.h"
#include "tz.h"
#include <iostream>

int
main()
{
    using namespace std::chrono;
    using namespace date;
    using namespace iso_week;
    auto zone = locate_zone("America/New_York");
    auto now = zone->to_local(system_clock::now());
    auto dp = floor<days>(now.first);
    auto iso_date = year_weeknum_weekday{dp};
    auto civil_date = year_month_day{dp};
    auto time = make_time(duration_cast<minutes>(now.first-dp));
    std::cout << "It is currently " << time << ' ' << now.second << " on "
              << iso_date << " which is also " << civil_date << '\n';
}

Which just output for me:

It is currently 18:33 EST on 2015-W51-Sat which is also 2015-12-19

Or if you want to find the civil date of the last day of the ISO week year for 2015, then (knowning the last day of the week is Sunday in this calendar) it is:

using namespace iso_week::literals;
std::cout << date::year_month_day{2015_y/last/sun} << '\n';

Which will output:

2016-01-03

And of course one can convert in the opposite direction:

using namespace date::literals;
std::cout << iso_week::year_weeknum_weekday{2016_y/1/3} << '\n';

Which will output:

2015-W53-Sun

In particular, note that for this day, the iso_week::year is 2015 and the date::year is 2016.

This brings us to an important type-safety feature of these libraries: The iso_week::year and the date::year are two distinct types. They represent concepts that are very similar. They almost always have the same value for the same sys_days. But as in this example, they are occasionally different. It is not unheard of for computer systems to conflate these two very similar types, resulting in bugs that are hard to find because they are relatively rare. Having the C++ type system help you keep these similar but different concepts distinct is a solid step towards finding bugs at compile time!

Reference

Here is a detailed specification of the entire library. This specification is detailed enough that you could write your own implementation from it if desired. But feel free to use this one instead. Each type, and each operation is simple and predictable.

durations 
 days
 weeks
 years
  
time_point 
 sys_days
  
types 
 last_week
  
 weekday
 weeknum
 year
  
 year_weeknum
 year_lastweek
 weeknum_weekday
 lastweek_weekday
  
 year_weeknum_weekday
 year_lastweek_weekday
  
date composition operators 
 constexpr year_weeknum operator/(const year& y, const weeknum& wn) noexcept;
 constexpr year_weeknum operator/(const year& y, int wn) noexcept;
  
 constexpr year_lastweek operator/(const year& y, last_week wn) noexcept;
  
 constexpr weeknum_weekday operator/(const weeknum& wn, const weekday& wd) noexcept;
 constexpr weeknum_weekday operator/(const weeknum& wn, int wd) noexcept;
 constexpr weeknum_weekday operator/(const weekday& wd, const weeknum& wn) noexcept;
 constexpr weeknum_weekday operator/(const weekday& wd, int wn) noexcept;
  
 constexpr lastweek_weekday operator/(const last_week& wn, const weekday& wd) noexcept;
 constexpr lastweek_weekday operator/(const last_week& wn, int wd) noexcept;
 constexpr lastweek_weekday operator/(const weekday& wd, const last_week& wn) noexcept;
  
 constexpr year_weeknum_weekday operator/(const year_weeknum& ywn, const weekday& wd) noexcept;
 constexpr year_weeknum_weekday operator/(const year_weeknum& ywn, int wd) noexcept;
 constexpr year_weeknum_weekday operator/(const weeknum_weekday& wnwd, const year& y) noexcept;
 constexpr year_weeknum_weekday operator/(const weeknum_weekday& wnwd, int y) noexcept;
  
 constexpr year_lastweek_weekday operator/(const year_lastweek& ylw, const weekday& wd) noexcept;
 constexpr year_lastweek_weekday operator/(const year_lastweek& ylw, int wd) noexcept;
  
 constexpr year_lastweek_weekday operator/(const lastweek_weekday& lwwd, const year& y) noexcept;
 constexpr year_lastweek_weekday operator/(const lastweek_weekday& lwwd, int y) noexcept;

Everything here is contained in the namespace iso_week. The literal operators, and the constexpr field literals (e.g. sun, last, etc.) are in namespace iso_week::literals and imported into namespace iso_week.

days

days is a std::chrono::duration with a tick period of 24 hours. This definition is not an SI unit but is accepted for use with SI. days is the resultant type when subtracting two sys_dayss.

using days = std::chrono::duration
    <int, std::ratio_multiply<std::ratio<24>, std::chrono::hours::period>>;

weeks

weeks is a std::chrono::duration with a tick period of 7 days. This definition is widely recognized and predates the Gregorian calendar. It is consistent with ISO 8601. weeks will implicitly convert to days but not vice-versa.

using weeks = std::chrono::duration
    <int, std::ratio_multiply<std::ratio<7>, days::period>>;

years

years is a std::chrono::duration with a tick period of 365.2425 days. This definition accurately describes the length of the average year in the ISO week calendar. years is the resultant type when subtracting two year field-based time points. years is not implicitly convertible to days or weeks nor vice-versa.

using years = std::chrono::duration
    <int, std::ratio_multiply<std::ratio<146097, 400>, days::period>>;

sys_days

sys_days is a std::chrono::time_point using std::chrono::system_clock and days. This makes sys_days interoperable with std::chrono::system_clock::time_point. It is simply a count of days since the epoch of std::chrono::system_clock which in every implementation is Jan. 1, 1970. sys_days is a serial-based time point with a resolution of days.

using sys_days = std::chrono::time_point<std::chrono::system_clock, days>;

last_week

last_week is a struct that is CopyConstructible. There exists a constexpr instance of last_week named last. This is simply a tag type. It is used to indicate the last week of the year.

struct last_week
{
    explicit last_week() = default;
};

inline namespace literals
{

constexpr iso_week::last_week last{};

}

I am leading the C++ standard here a little with the explicit qualifier on the default constructor. This compiles today, but doesn't have quite the desired semantics. But it will when CWG 1518 passes. This will make it so that {} won't implicitly convert to last_week. This addresses the concern expressed in LWG 2510.

weekday

Synopsis

class weekday
{
    unsigned char wd_;  // exposition only
public:
    explicit constexpr weekday(unsigned wd) noexcept;
    constexpr weekday(const sys_days& dp) noexcept;
    constexpr weekday(date::weekday wd) noexcept;
    explicit weekday(int) = delete;

    weekday& operator++() noexcept;
    weekday operator++(int) noexcept;
    weekday& operator--() noexcept;
    weekday operator--(int) noexcept;

    weekday& operator+=(const days& d) noexcept;
    weekday& operator-=(const days& d) noexcept;

    constexpr explicit operator unsigned() const noexcept;
    constexpr operator date::weekday() const noexcept;
    constexpr bool ok() const noexcept;
};

constexpr bool operator==(const weekday& x, const weekday& y) noexcept;
constexpr bool operator!=(const weekday& x, const weekday& y) noexcept;

constexpr weekday operator+(const weekday& x, const days&    y) noexcept;
constexpr weekday operator+(const days&    x, const weekday& y) noexcept;
constexpr weekday operator-(const weekday& x, const days&    y) noexcept;
constexpr days    operator-(const weekday& x, const weekday& y) noexcept;

std::ostream& operator<<(std::ostream& os, const weekday& wd);

inline namespace literals
{
constexpr weekday mon{1u};
constexpr weekday tue{2u};
constexpr weekday wed{3u};
constexpr weekday thu{4u};
constexpr weekday fri{5u};
constexpr weekday sat{6u};
constexpr weekday sun{7u};
}  // namespace literals

Overview

weekday represents a day of the week in the ISO week calendar. It should only be representing values in the range 1 to 7, corresponding to Monday thru Sunday. However it may hold values outside this range. It can be constructed with any unsigned value, which will be subsequently truncated to fit into weekday's internal storage. weekday is equality comparable. weekday is not less-than comparable because there is no universal consensus on which day is the first day of the week. This design chooses the encoding of 1 to 7 to represent Monday thru Sunday only because this is consistent with ISO 8601. However weekday's comparison and arithmetic operations treat the days of the week as a circular range, with no beginning and no end. One can stream out a weekday for debugging purposes. weekday has explicit conversions to and from unsigned. There are 7 weekday constants, one for each day of the week.

A weekday can be implicitly constructed from a sys_days. This is the computation that discovers the day of the week of an arbitrary date.

A weekday can be implicitly converted to or from a date::weekday. iso_week::weekday and date::weekday are distinct types, though they represent very similar concepts. date::weekday can be indexed, and iso_week::weekday can not. date::weekday is encoded as [0, 6] representing [Sunday, Saturday], while iso_week::weekday is encoded as [1, 7] representing [Monday, Sunday]. The conversion functions will correctly translate between these encodings.

Specification

weekday is a trivially copyable class type.
weekday is a standard-layout class type.
weekday is a literal class type.

explicit constexpr weekday::weekday(unsigned wd) noexcept;

Effects: Constructs an object of type weekday by constructing wd_ with wd.

constexpr weekday(const sys_days& dp) noexcept;

Effects: Constructs an object of type weekday by computing what day of the week corresponds to the sys_days dp, and representing that day of the week in wd_.

Example: If dp represents 1970-01-01, the constructed weekday shall represent Thursday by storing 4 in wd_.

constexpr weekday(date::weekday wd) noexcept;

Effects: Constructs an object of type weekday from a date::weekday. This changes the underlying encoding from [0, 6] -> [sun, sat] to [1, 7] -> [mon, sun].

weekday& weekday::operator++() noexcept;

Effects: If wd_ != 6, ++wd_. Otherwise sets wd_ to 0.

Returns: *this.

weekday weekday::operator++(int) noexcept;

Effects: ++(*this).

Returns: A copy of *this as it existed on entry to this member function.

weekday& weekday::operator--() noexcept;

Effects: If wd_ != 0, --wd_. Otherwise sets wd_ to 6.

Returns: *this.

weekday weekday::operator--(int) noexcept;

Effects: --(*this).

Returns: A copy of *this as it existed on entry to this member function.

weekday& weekday::operator+=(const days& d) noexcept;

Effects: *this = *this + d.

Returns: *this.

weekday& weekday::operator-=(const days& d) noexcept;

Effects: *this = *this - d.

Returns: *this.

constexpr explicit weekday::operator unsigned() const noexcept;

Returns: wd_.

constexpr operator date::weekday() const noexcept;

Returns: An object of type date::weekday constructed from *this. This changes the underlying encoding from [1, 7] -> [mon, sun] to [0, 6] -> [sun, sat].

constexpr bool weekday::ok() const noexcept;

Returns: 1 <= wd_ && wd_ <= 7.

constexpr bool operator==(const weekday& x, const weekday& y) noexcept;

Returns: unsigned{x} == unsigned{y}.

constexpr bool operator!=(const weekday& x, const weekday& y) noexcept;

Returns: !(x == y).

constexpr weekday  operator+(const weekday&  x, const days& y) noexcept;

Returns: A weekday for which ok() == true and is found as if by incrementing (or decrementing if y < days{0}) x, y times. If weekday.ok() == false prior to this operation, behaves as if *this is first brought into the range [1, 7] by modular arithmetic. [Note: For example weekday{0} becomes weekday{7}. — end note]

Complexity: O(1) with respect to the value of y. That is, repeated increments or decrements is not a valid implementation.

Example: sun + days{6} == sat.

constexpr weekday  operator+(const days& x, const weekday&  y) noexcept;

Returns: y + x.

constexpr weekday  operator-(const weekday&  x, const days& y) noexcept;

Returns: x + -y.

constexpr days operator-(const weekday&  x, const weekday&  y) noexcept;

Requires: x.ok() == true and y.ok() == true.

Returns: A value of days in the range of days{0} to days{6} inclusive.

Remarks: The returned value d shall satisfy the equality: y + d == x.

Example: sat - sun == days{6}.

std::ostream& operator<<(std::ostream& os, const weekday& wd);

Effects: If ok() == true outputs the same string that would be output for the weekday field by asctime, assuming the conversion unsigned{date::weekday{*this}}. Otherwise outputs unsigned{wd} << " is not a valid weekday".

Returns: os.

weeknum

Synopsis

class weeknum
{
    unsigned char wn_;  // exposition only

public:
    explicit constexpr weeknum(unsigned wn) noexcept;

    weeknum& operator++() noexcept;
    weeknum operator++(int) noexcept;
    weeknum& operator--() noexcept;
    weeknum operator--(int) noexcept;

    weeknum& operator+=(const weeks& w) noexcept;
    weeknum& operator-=(const weeks& w) noexcept;

    constexpr explicit operator unsigned() const noexcept;
    constexpr bool ok() const noexcept;
};

constexpr bool operator==(const weeknum& x, const weeknum& y) noexcept;
constexpr bool operator!=(const weeknum& x, const weeknum& y) noexcept;
constexpr bool operator< (const weeknum& x, const weeknum& y) noexcept;
constexpr bool operator> (const weeknum& x, const weeknum& y) noexcept;
constexpr bool operator<=(const weeknum& x, const weeknum& y) noexcept;
constexpr bool operator>=(const weeknum& x, const weeknum& y) noexcept;

constexpr weeknum operator+(const weeknum& x, const weeks&   y) noexcept;
constexpr weeknum operator+(const weeks&   x, const weeknum& y) noexcept;
constexpr weeknum operator-(const weeknum& x, const weeks&   y) noexcept;
constexpr weeks   operator-(const weeknum& x, const weeknum& y) noexcept;

std::ostream& operator<<(std::ostream& os, const weeknum& wn);

inline namespace literals
{

constexpr weeknum operator "" _w(unsigned long long wn) noexcept;

}

Overview

weeknum represents a week number of of the ISO week-year [1, 53]. It should only be representing values in the range 1 to 53. However it may hold values outside this range. It can be constructed with any unsigned value, which will be subsequently truncated to fit into weeknum's internal storage. weeknum is equality and less-than comparable, and participates in basic arithmetic with weeks representing the quantity between any two weeknum's. One can stream out a weeknum for debugging purposes. weeknum has explicit conversions to and from unsigned.

Specification

weeknum is a trivially copyable class type.
weeknum is a standard-layout class type.
weeknum is a literal class type.

explicit constexpr weeknum::weeknum(unsigned wn) noexcept;

Effects: Constructs an object of type weeknum by constructing wn_ with wn.

weeknum& weeknum::operator++() noexcept;

Effects: ++wn_.

Returns: *this.

weeknum weeknum::operator++(int) noexcept;

Effects: ++(*this).

Returns: A copy of *this as it existed on entry to this member function.

weeknum& weeknum::operator--() noexcept;

Effects: --wn_.

Returns: *this.

weeknum weeknum::operator--(int) noexcept;

Effects: --(*this).

Returns: A copy of *this as it existed on entry to this member function.

weeknum& weeknum::operator+=(const weeks& w) noexcept;

Effects: *this = *this + w.

Returns: *this.

weeknum& weeknum::operator-=(const weeks& w) noexcept;

Effects: *this = *this - w.

Returns: *this.

constexpr explicit weeknum::operator unsigned() const noexcept;

Returns: wn_.

constexpr bool weeknum::ok() const noexcept;

Returns: 1 <= wn_ && wn_ <= 53.

constexpr bool operator==(const weeknum& x, const weeknum& y) noexcept;

Returns: unsigned{x} == unsigned{y}.

constexpr bool operator!=(const weeknum& x, const weeknum& y) noexcept;

Returns: !(x == y).

constexpr bool operator< (const weeknum& x, const weeknum& y) noexcept;

Returns: unsigned{x} < unsigned{y}.

constexpr bool operator> (const weeknum& x, const weeknum& y) noexcept;

Returns: y < x.

constexpr bool operator<=(const weeknum& x, const weeknum& y) noexcept;

Returns: !(y < x).

constexpr bool operator>=(const weeknum& x, const weeknum& y) noexcept;

Returns: !(x < y).

constexpr weeknum  operator+(const weeknum&  x, const weeks& y) noexcept;

Returns: weeknum{unsigned{x} + static_cast<unsigned>(y.count())}

constexpr weeknum  operator+(const weeks& x, const weeknum&  y) noexcept;

Returns: y + x.

constexpr weeknum  operator-(const weeknum&  x, const weeks& y) noexcept;

Returns: x + -y.

constexpr weeks operator-(const weeknum&  x, const weeknum&  y) noexcept;

Returns: weeks{static_cast<weeks::rep>(unsigned{x}) - static_cast<weeks::rep>(unsigned{y})}.

std::ostream& operator<<(std::ostream& os, const weeknum& wn);

Effects: Inserts 'W' followed by a decimal integral text representation of length 2, prefixed by '0' if the value is less than or equal to 9.

Returns: os.

Example: 5_w is output as W05.

constexpr weeknum operator "" _w(unsigned long long wn) noexcept;

Returns: weeknum{static_cast<unsigned>(wn)}.

year

Synopsis

class year
{
    short y_;  // exposition only

public:
    explicit constexpr year(int y) noexcept;

    year& operator++() noexcept;
    year operator++(int) noexcept;
    year& operator--() noexcept;
    year operator--(int) noexcept;

    year& operator+=(const years& y) noexcept;
    year& operator-=(const years& y) noexcept;

    constexpr explicit operator int() const noexcept;
    constexpr bool ok() const noexcept;

    static constexpr year min() noexcept;
    static constexpr year max() noexcept;
};

constexpr bool operator==(const year& x, const year& y) noexcept;
constexpr bool operator!=(const year& x, const year& y) noexcept;
constexpr bool operator< (const year& x, const year& y) noexcept;
constexpr bool operator> (const year& x, const year& y) noexcept;
constexpr bool operator<=(const year& x, const year& y) noexcept;
constexpr bool operator>=(const year& x, const year& y) noexcept;

constexpr year  operator+(const year&  x, const years& y) noexcept;
constexpr year  operator+(const years& x, const year&  y) noexcept;
constexpr year  operator-(const year&  x, const years& y) noexcept;
constexpr years operator-(const year&  x, const year&  y) noexcept;

std::ostream& operator<<(std::ostream& os, const year& y);

inline namespace literals
{
constexpr year operator "" _y(unsigned long long y) noexcept;
}

Overview

year represents a year in the ISO week date calendar. It shall represent values in the range [min(), max()]. It can be constructed with any int value, which will be subsequently truncated to fit into year's internal storage. year is equality and less-than comparable, and participates in basic arithmetic with years representing the quantity between any two year's. One can form a year literal with _y. And one can stream out a year for debugging purposes. year has explicit conversions to and from int.

Specification

year is a trivially copyable class type.
year is a standard-layout class type.
year is a literal class type.

explicit constexpr year::year(int y) noexcept;

Effects: Constructs an object of type year by constructing y_ with y.

year& year::operator++() noexcept;

Effects: ++y_.

Returns: *this.

year year::operator++(int) noexcept;

Effects: ++(*this).

Returns: A copy of *this as it existed on entry to this member function.

year& year::operator--() noexcept;

Effects: --y_.

Returns: *this.

year year::operator--(int) noexcept;

Effects: --(*this).

Returns: A copy of *this as it existed on entry to this member function.

year& year::operator+=(const years& y) noexcept;

Effects: *this = *this + y.

Returns: *this.

year& year::operator-=(const years& y) noexcept;

Effects: *this = *this - y.

Returns: *this.

constexpr explicit year::operator int() const noexcept;

Returns: y_.

constexpr bool year::ok() const noexcept;

Returns: min() <= *this && *this <= max().

static constexpr year year::min() noexcept;

Returns: A year constructed with the minimum representable year number. This year shall be a value such that sys_days{min()/1_w/mon} + Unit{0}, where Unit is one of microseconds, milliseconds, seconds, minutes, or hours, there shall be no overflow. [Note: nanoseconds is intentionally omitted from this list. — end note]

static constexpr year year::max() noexcept;

Returns: A year constructed with the maximum representable year number. This year shall be a value such that sys_days{max()/last/sun} + Unit{0}, where Unit is one of microseconds, milliseconds, seconds, minutes, or hours, there shall be no overflow. [Note: nanoseconds is intentionally omitted from this list. — end note]

constexpr bool operator==(const year& x, const year& y) noexcept;

Returns: int{x} == int{y}.

constexpr bool operator!=(const year& x, const year& y) noexcept;

Returns: !(x == y).

constexpr bool operator< (const year& x, const year& y) noexcept;

Returns: int{x} < int{y}.

constexpr bool operator> (const year& x, const year& y) noexcept;

Returns: y < x.

constexpr bool operator<=(const year& x, const year& y) noexcept;

Returns: !(y < x).

constexpr bool operator>=(const year& x, const year& y) noexcept;

Returns: !(x < y).

constexpr year  operator+(const year&  x, const years& y) noexcept;

Returns: year{int{x} + y.count()}.

constexpr year  operator+(const years& x, const year&  y) noexcept;

Returns: y + x.

constexpr year  operator-(const year&  x, const years& y) noexcept;

Returns: x + -y.

constexpr years operator-(const year&  x, const year&  y) noexcept;

Returns: years{int{x} - int{y}}.

constexpr year operator "" _y(unsigned long long y) noexcept;

Returns: year{static_cast<int>(y)}.

std::ostream& operator<<(std::ostream& os, const year& y);

Effects: Inserts a signed decimal integral text representation of y into os. If the year is less than four decimal digits, pads the year with '0' to four digits. If the year is negative, prefixes with '-'.

Returns: os.

constexpr year operator "" _y(unsigned long long y) noexcept;

Returns: year{static_cast<int>(y)}.

year_weeknum

Synopsis

class year_weeknum
{
    iso_week::year    y_;   // exposition only
    iso_week::weeknum wn_;  // exposition only

public:
    constexpr year_weeknum(const iso_week::year& y, const iso_week::weeknum& wn) noexcept;

    constexpr iso_week::year    year()    const noexcept;
    constexpr iso_week::weeknum weeknum() const noexcept;

    year_weeknum& operator+=(const years& dy) noexcept;
    year_weeknum& operator-=(const years& dy) noexcept;

    constexpr bool ok() const noexcept;
};

constexpr bool operator==(const year_weeknum& x, const year_weeknum& y) noexcept;
constexpr bool operator!=(const year_weeknum& x, const year_weeknum& y) noexcept;
constexpr bool operator< (const year_weeknum& x, const year_weeknum& y) noexcept;
constexpr bool operator> (const year_weeknum& x, const year_weeknum& y) noexcept;
constexpr bool operator<=(const year_weeknum& x, const year_weeknum& y) noexcept;
constexpr bool operator>=(const year_weeknum& x, const year_weeknum& y) noexcept;

constexpr year_weeknum operator+(const year_weeknum& ym, const years& dy) noexcept;
constexpr year_weeknum operator+(const years& dy, const year_weeknum& ym) noexcept;
constexpr year_weeknum operator-(const year_weeknum& ym, const years& dy) noexcept;

std::ostream& operator<<(std::ostream& os, const year_weeknum& ym);

Overview

year_weeknum is simply a collection of a year and a weeknum. It represents a specific week of a year, but not the day of the week. One can perform year-oriented arithmetic with a year_weeknum. And year_weeknum is equality and less-than comparable.

Specification

year_weeknum is a trivially copyable class type.
year_weeknum is a standard-layout class type.
year_weeknum is a literal class type.

constexpr year_weeknum::year_weeknum(const iso_week::year& y, const iso_week::weeknum& wn) noexcept;

Effects: Constructs an object of type year_weeknum by constructing y_ with y and wn_ with wn.

constexpr iso_week::year year_weeknum::year() const noexcept;

Returns: y_.

constexpr iso_week::weeknum year_weeknum::weeknum() const noexcept;

Returns: wn_.

year_weeknum& year_weeknum::operator+=(const years& dy) noexcept;

Effects: *this = *this + dy.

Returns: *this.

year_weeknum& year_weeknum::operator-=(const years& dy) noexcept;

Effects: *this = *this - dy.

Returns: *this.

constexpr bool year_weeknum::ok() const noexcept;

Returns: y_.ok() && 1_w <= wn_ && wn_ <= (y_/last).weeknum().

constexpr bool operator==(const year_weeknum& x, const year_weeknum& y) noexcept;

Returns: x.year() == y.year() && x.weeknum() == y.weeknum().

constexpr bool operator!=(const year_weeknum& x, const year_weeknum& y) noexcept;

Returns: !(x == y).

constexpr bool operator<(const year_weeknum& x, const year_weeknum& y) noexcept;

Returns: x.year() < y.year() ? true : (x.year() > y.year() ? false : (x.weeknum() < y.weeknum())).

constexpr bool operator>(const year_weeknum& x, const year_weeknum& y) noexcept;

Returns: y < x.

constexpr bool operator<=(const year_weeknum& x, const year_weeknum& y) noexcept;

Returns: !(y < x).

constexpr bool operator>=(const year_weeknum& x, const year_weeknum& y) noexcept;

Returns: !(x < y).

constexpr year_weeknum operator+(const year_weeknum& ym, const years& dy) noexcept;

Returns: (ym.year() + dy) / ym.weeknum().

constexpr year_weeknum operator+(const years& dy, const year_weeknum& ym) noexcept;

Returns: ym + dy.

constexpr year_weeknum operator-(const year_weeknum& ym, const years& dy) noexcept;

Returns: ym + -dy.

std::ostream& operator<<(std::ostream& os, const year_weeknum& ywn);

Effects: os << ywn.year() << '-' << ywn.weeknum().

Returns: os.

year_lastweek

Synopsis

class year_lastweek
{
    iso_week::year y_;  // exposition only

public:
    explicit constexpr year_lastweek(const iso_week::year& y) noexcept;

    constexpr iso_week::year    year()    const noexcept;
    constexpr iso_week::weeknum weeknum() const noexcept;

    year_lastweek& operator+=(const years& dy) noexcept;
    year_lastweek& operator-=(const years& dy) noexcept;

    constexpr bool ok() const noexcept;
};

constexpr bool operator==(const year_lastweek& x, const year_lastweek& y) noexcept;
constexpr bool operator!=(const year_lastweek& x, const year_lastweek& y) noexcept;
constexpr bool operator< (const year_lastweek& x, const year_lastweek& y) noexcept;
constexpr bool operator> (const year_lastweek& x, const year_lastweek& y) noexcept;
constexpr bool operator<=(const year_lastweek& x, const year_lastweek& y) noexcept;
constexpr bool operator>=(const year_lastweek& x, const year_lastweek& y) noexcept;

constexpr year_lastweek operator+(const year_lastweek& ym, const years& dy) noexcept;
constexpr year_lastweek operator+(const years& dy, const year_lastweek& ym) noexcept;
constexpr year_lastweek operator-(const year_lastweek& ym, const years& dy) noexcept;

std::ostream& operator<<(std::ostream& os, const year_lastweek& ym);

Overview

year_lastweek represents a ISO week year and the last week of that year. One can perform year-oriented arithmetic with a year_lastweek. And year_lastweek is equality and less-than comparable.

Specification

year_lastweek is a trivially copyable class type.
year_lastweek is a standard-layout class type.
year_lastweek is a literal class type.

explicit constexpr year_lastweek::year_lastweek(const iso_week::year& y) noexcept;

Effects: Constructs an object of type year_lastweek by constructing y_ with y.

constexpr iso_week::year year_lastweek::year() const noexcept;

Returns: y_.

constexpr iso_week::weeknum year_lastweek::weeknum() const noexcept;

Returns: The ISO week number for the last week of the year y_.

year_lastweek& year_lastweek::operator+=(const years& dy) noexcept;

Effects: *this = *this + dy.

Returns: *this.

year_lastweek& year_lastweek::operator-=(const years& dy) noexcept;

Effects: *this = *this - dy.

Returns: *this.

constexpr bool year_lastweek::ok() const noexcept;

Returns: y_.ok().

constexpr bool operator==(const year_lastweek& x, const year_lastweek& y) noexcept;

Returns: x.year() == y.year().

constexpr bool operator!=(const year_lastweek& x, const year_lastweek& y) noexcept;

Returns: !(x == y).

constexpr bool operator<(const year_lastweek& x, const year_lastweek& y) noexcept;

Returns: x.year() < y.year().

constexpr bool operator>(const year_lastweek& x, const year_lastweek& y) noexcept;

Returns: y < x.

constexpr bool operator<=(const year_lastweek& x, const year_lastweek& y) noexcept;

Returns: !(y < x).

constexpr bool operator>=(const year_lastweek& x, const year_lastweek& y) noexcept;

Returns: !(x < y).

constexpr year_lastweek operator+(const year_lastweek& ym, const years& dy) noexcept;

Returns: year_lastweek{ym.year() + dy}.

constexpr year_lastweek operator+(const years& dy, const year_lastweek& ym) noexcept;

Returns: ym + dy.

constexpr year_lastweek operator-(const year_lastweek& ym, const years& dy) noexcept;

Returns: ym + -dy.

std::ostream& operator<<(std::ostream& os, const year_lastweek& ywn);

Effects: os << ywn.year() << "-W last".

Returns: os.

weeknum_weekday

Synopsis

class weeknum_weekday
{
    iso_week::weeknum wn_;  // exposition only
    iso_week::weekday wd_;  // exposition only

public:
    constexpr weeknum_weekday(const iso_week::weeknum& wn,
                              const iso_week::weekday& wd) noexcept;

    constexpr iso_week::weeknum weeknum() const noexcept;
    constexpr iso_week::weekday weekday() const noexcept;

    constexpr bool ok() const noexcept;
};

constexpr bool operator==(const weeknum_weekday& x, const weeknum_weekday& y) noexcept;
constexpr bool operator!=(const weeknum_weekday& x, const weeknum_weekday& y) noexcept;
constexpr bool operator< (const weeknum_weekday& x, const weeknum_weekday& y) noexcept;
constexpr bool operator> (const weeknum_weekday& x, const weeknum_weekday& y) noexcept;
constexpr bool operator<=(const weeknum_weekday& x, const weeknum_weekday& y) noexcept;
constexpr bool operator>=(const weeknum_weekday& x, const weeknum_weekday& y) noexcept;

std::ostream& operator<<(std::ostream& os, const weeknum_weekday& md);

Overview

weeknum_weekday is simply a collection of a weeknum and a weekday. It represents a specific week and day of the week, but an unspecified year. weeknum_weekday is equality and less-than comparable.

Specification

weeknum_weekday is a trivially copyable class type.
weeknum_weekday is a standard-layout class type.
weeknum_weekday is a literal class type.

constexpr weeknum_weekday::weeknum_weekday(const iso_week::weeknum& wn,
                                           const iso_week::weekday& wd) noexcept;

Effects: Constructs an object of type weeknum_weekday by constructing wn_ with wn and wd_ with wd.

constexpr iso_week::weeknum weeknum_weekday::weeknum() const noexcept;

Returns: wn_.

constexpr iso_week::weekday weeknum_weekday::weekday() const noexcept;

Returns: wd_.

constexpr bool weeknum_weekday::ok() const noexcept;

Returns: wn_.ok() && wd_.ok().

constexpr bool operator==(const weeknum_weekday& x, const weeknum_weekday& y) noexcept;

Returns: x.weeknum() == y.weeknum() && x.weekday() == y.weekday().

constexpr bool operator!=(const weeknum_weekday& x, const weeknum_weekday& y) noexcept;

Returns: !(x == y).

constexpr bool operator<(const weeknum_weekday& x, const weeknum_weekday& y) noexcept;

Returns: x.weeknum() < y.weeknum() ? true : (x.weeknum() > y.weeknum() ? false : (unsigned{x.weekday()} < unsigned{y.weekday()})).

constexpr bool operator>(const weeknum_weekday& x, const weeknum_weekday& y) noexcept;

Returns: y < x.

constexpr bool operator<=(const weeknum_weekday& x, const weeknum_weekday& y) noexcept;

Returns: !(y < x).

constexpr bool operator>=(const weeknum_weekday& x, const weeknum_weekday& y) noexcept;

Returns: !(x < y).

std::ostream& operator<<(std::ostream& os, const weeknum_weekday& md);

Effects: os << md.weeknum() << '-' << md.weekday().

Returns: os.

lastweek_weekday

Synopsis

class lastweek_weekday
{
    iso_week::weekday wd_;  // exposition only

public:
    explicit constexpr lastweek_weekday(const iso_week::weekday& wd) noexcept;

    constexpr iso_week::weekday weekday() const noexcept;

    constexpr bool ok() const noexcept;
};

constexpr bool operator==(const lastweek_weekday& x, const lastweek_weekday& y) noexcept;
constexpr bool operator!=(const lastweek_weekday& x, const lastweek_weekday& y) noexcept;
constexpr bool operator< (const lastweek_weekday& x, const lastweek_weekday& y) noexcept;
constexpr bool operator> (const lastweek_weekday& x, const lastweek_weekday& y) noexcept;
constexpr bool operator<=(const lastweek_weekday& x, const lastweek_weekday& y) noexcept;
constexpr bool operator>=(const lastweek_weekday& x, const lastweek_weekday& y) noexcept;

std::ostream& operator<<(std::ostream& os, const lastweek_weekday& md);

Overview

lastweek_weekday represents a weekday in the last week of an unspecified year. lastweek_weekday is equality and less-than comparable.

Specification

lastweek_weekday is a trivially copyable class type.
lastweek_weekday is a standard-layout class type.
lastweek_weekday is a literal class type.

explicit constexpr lastweek_weekday::lastweek_weekday(const iso_week::weekday& wd) noexcept;

Effects: Constructs an object of type lastweek_weekday by constructing wd_ with wd.

constexpr iso_week::weekday lastweek_weekday::weekday() const noexcept;

Returns: wd_.

constexpr bool lastweek_weekday::ok() const noexcept;

Returns: wd_.ok().

constexpr bool operator==(const lastweek_weekday& x, const lastweek_weekday& y) noexcept;

Returns: x.weekday() == y.weekday().

constexpr bool operator!=(const lastweek_weekday& x, const lastweek_weekday& y) noexcept;

Returns: !(x == y).

constexpr bool operator<(const lastweek_weekday& x, const lastweek_weekday& y) noexcept;

Returns: unsigned{x.weekday()} < unsigned{y.weekday()}.

constexpr bool operator>(const lastweek_weekday& x, const lastweek_weekday& y) noexcept;

Returns: y < x.

constexpr bool operator<=(const lastweek_weekday& x, const lastweek_weekday& y) noexcept;

Returns: !(y < x).

constexpr bool operator>=(const lastweek_weekday& x, const lastweek_weekday& y) noexcept;

Returns: !(x < y).

std::ostream& operator<<(std::ostream& os, const lastweek_weekday& md);

Effects: os << "W last-" << md.weekday().

Returns: os.

year_weeknum_weekday

Synopsis

class year_weeknum_weekday
{
    iso_week::year    y_;   // exposition only
    iso_week::weeknum wn_;  // exposition only
    iso_week::weekday wd_;  // exposition only

public:
    constexpr year_weeknum_weekday(const iso_week::year& y, const iso_week::weeknum& wn,
                                   const iso_week::weekday& wd) noexcept;
    constexpr year_weeknum_weekday(const year_lastweek_weekday& x) noexcept;
    constexpr year_weeknum_weekday(const sys_days& dp) noexcept;

    year_weeknum_weekday& operator+=(const years& y) noexcept;
    year_weeknum_weekday& operator-=(const years& y) noexcept;

    constexpr iso_week::year    year()    const noexcept;
    constexpr iso_week::weeknum weeknum() const noexcept;
    constexpr iso_week::weekday weekday() const noexcept;

    constexpr operator sys_days() const noexcept;
    constexpr bool ok() const noexcept;
};

constexpr bool operator==(const year_weeknum_weekday& x, const year_weeknum_weekday& y) noexcept;
constexpr bool operator!=(const year_weeknum_weekday& x, const year_weeknum_weekday& y) noexcept;
constexpr bool operator< (const year_weeknum_weekday& x, const year_weeknum_weekday& y) noexcept;
constexpr bool operator> (const year_weeknum_weekday& x, const year_weeknum_weekday& y) noexcept;
constexpr bool operator<=(const year_weeknum_weekday& x, const year_weeknum_weekday& y) noexcept;
constexpr bool operator>=(const year_weeknum_weekday& x, const year_weeknum_weekday& y) noexcept;

constexpr year_weeknum_weekday operator+(const year_weeknum_weekday& x, const years& y) noexcept;
constexpr year_weeknum_weekday operator+(const years& y, const year_weeknum_weekday& x) noexcept;
constexpr year_weeknum_weekday operator-(const year_weeknum_weekday& x, const years& y) noexcept;

std::ostream& operator<<(std::ostream& os, const year_weeknum_weekday& x);

Overview

year_weeknum_weekday represents a year, weeknum, and weekday in the ISO week date calendar. One can observe each field. year_weeknum_weekday supports year-oriented arithmetic. There is an implicit conversion to and from sys_days. There is also an implicit conversion from year_lastweek_weekday. year_weeknum_weekday is equality and less-than comparable.

Specification

year_weeknum_weekday is a trivially copyable class type.
year_weeknum_weekday is a standard-layout class type.
year_weeknum_weekday is a literal class type.

constexpr year_weeknum_weekday::year_weeknum_weekday(const iso_week::year& y,
                                                     const iso_week::weeknum& wn,
                                                     const iso_week::weekday& wd) noexcept;

Effects: Constructs an object of type year_weeknum_weekday by constructing y_ with y, wn_ with wn, and wd_ with wd.

constexpr year_weeknum_weekday::year_weeknum_weekday(const year_lastweek_weekday& x) noexcept;

Effects: Constructs an object of type year_weeknum_weekday by constructing y_ with x.year(), wn_ with x.weeknum(), and wd_ with x.weekday().

constexpr year_weeknum_weekday::year_weeknum_weekday(const sys_days& dp) noexcept;

Effects: Constructs an object of type year_weeknum_weekday which corresponds to the date represented by dp.

Remarks: For any value of year_weeknum_weekday, x, for which x.ok() is true, this equality will also be true: x == year_weeknum_weekday{sys_days{x}}.

year_weeknum_weekday& year_weeknum_weekday::operator+=(const years& y) noexcept;

Effectx: *this = *this + y.

Returns: *this.

year_weeknum_weekday& year_weeknum_weekday::operator-=(const years& y) noexcept;

Effectx: *this = *this - y.

Returns: *this.

constexpr iso_week::year year_weeknum_weekday::year() const noexcept;

Returns: y_.

constexpr iso_week::weeknum year_weeknum_weekday::weeknum() const noexcept;

Returns: wn_.

constexpr iso_week::weekday year_weeknum_weekday::weekday() const noexcept;

Returns: wd_.

constexpr year_weeknum_weekday::operator sys_days() const noexcept;

Returns: A sys_days which represents the date represented by *this.

constexpr bool year_weeknum_weekday::ok() const noexcept;

Returns: y_.ok() && wd_.ok() && 1_w <= wn_ && wn_ <= year_lastweek{y_}.weeknum().

constexpr bool operator==(const year_weeknum_weekday& x, const year_weeknum_weekday& y) noexcept;

Returns: x.year() == y.year() && x.weeknum() == y.weeknum() && x.weekday() == y.weekday().

constexpr bool operator!=(const year_weeknum_weekday& x, const year_weeknum_weekday& y) noexcept;

Returns: !(x == y).

constexpr bool operator<(const year_weeknum_weekday& x, const year_weeknum_weekday& y) noexcept;

Returns: x.year() < y.year() ? true : (x.year() > y.year() ? false : (x.weeknum() < y.weeknum() ? true : (x.weeknum() > y.weeknum() ? false : (unsigned{x.weekday()} < unsigned{y.weekday()})))).

constexpr bool operator>(const year_weeknum_weekday& x, const year_weeknum_weekday& y) noexcept;

Returns: y < x.

constexpr bool operator<=(const year_weeknum_weekday& x, const year_weeknum_weekday& y) noexcept;

Returns: !(y < x).

constexpr bool operator>=(const year_weeknum_weekday& x, const year_weeknum_weekday& y) noexcept;

Returns: !(x < y).

constexpr year_weeknum_weekday operator+(const year_weeknum_weekday& x, const years& y) noexcept;

Returns: (x.year() + y) / x.weeknum() / x.weekday().

constexpr year_weeknum_weekday operator+(const years& y, const year_weeknum_weekday& x) noexcept;

Returns: x + y.

constexpr year_weeknum_weekday operator-(const year_weeknum_weekday& x, const years& y) noexcept;

Returns: x + -y.

std::ostream& operator<<(std::ostream& os, const year_weeknum_weekday& x);

Effects: os << x.year() << '-' << x.weeknum() << '-' << x.weekday().

Returns: os.

year_lastweek_weekday

Synopsis

class year_lastweek_weekday
{
    iso_week::year    y_;   // exposition only
    iso_week::weekday wd_;  // exposition only

public:
    constexpr year_lastweek_weekday(const iso_week::year& y,
                                    const iso_week::weekday& wd) noexcept;

    year_lastweek_weekday& operator+=(const years& y) noexcept;
    year_lastweek_weekday& operator-=(const years& y) noexcept;

    constexpr iso_week::year    year()    const noexcept;
    constexpr iso_week::weeknum weeknum() const noexcept;
    constexpr iso_week::weekday weekday() const noexcept;

    constexpr operator sys_days() const noexcept;
    constexpr bool ok() const noexcept;
};

constexpr bool operator==(const year_lastweek_weekday& x, const year_lastweek_weekday& y) noexcept;
constexpr bool operator!=(const year_lastweek_weekday& x, const year_lastweek_weekday& y) noexcept;
constexpr bool operator< (const year_lastweek_weekday& x, const year_lastweek_weekday& y) noexcept;
constexpr bool operator> (const year_lastweek_weekday& x, const year_lastweek_weekday& y) noexcept;
constexpr bool operator<=(const year_lastweek_weekday& x, const year_lastweek_weekday& y) noexcept;
constexpr bool operator>=(const year_lastweek_weekday& x, const year_lastweek_weekday& y) noexcept;

constexpr year_lastweek_weekday operator+(const year_lastweek_weekday& x, const years& y) noexcept;
constexpr year_lastweek_weekday operator+(const years& y, const year_lastweek_weekday& x) noexcept;
constexpr year_lastweek_weekday operator-(const year_lastweek_weekday& x, const years& y) noexcept;

std::ostream& operator<<(std::ostream& os, const year_lastweek_weekday& x);

Overview

year_lastweek_weekday represents a year, and weekday in the last week of the ISO week date calendar. One can observe each field. year_lastweek_weekday supports year-oriented arithmetic. There is an implicit conversion to sys_days. year_lastweek_weekday is equality and less-than comparable.

Specification

year_lastweek_weekday is a trivially copyable class type.
year_lastweek_weekday is a standard-layout class type.
year_lastweek_weekday is a literal class type.

constexpr year_lastweek_weekday::year_lastweek_weekday(const iso_week::year& y,
                                                       const iso_week::weekday& wd) noexcept;

Effects: Constructs an object of type year_lastweek_weekday by constructing y_ with y, and wd_ with wd.

year_lastweek_weekday& year_lastweek_weekday::operator+=(const years& y) noexcept;

Effectx: *this = *this + y.

Returns: *this.

year_lastweek_weekday& year_lastweek_weekday::operator-=(const years& y) noexcept;

Effectx: *this = *this - y.

Returns: *this.

constexpr iso_week::year year_lastweek_weekday::year() const noexcept;

Returns: y_.

constexpr iso_week::weeknum year_lastweek_weekday::weeknum() const noexcept;

Returns: (y_ / last).weeknum().

constexpr iso_week::weekday year_lastweek_weekday::weekday() const noexcept;

Returns: wd_.

constexpr year_lastweek_weekday::operator sys_days() const noexcept;

Returns: A sys_days which represents the date represented by *this.

constexpr bool year_lastweek_weekday::ok() const noexcept;

Returns: y_.ok() && wd_.ok().

constexpr bool operator==(const year_lastweek_weekday& x, const year_lastweek_weekday& y) noexcept;

Returns: x.year() == y.year() && x.weekday() == y.weekday().

constexpr bool operator!=(const year_lastweek_weekday& x, const year_lastweek_weekday& y) noexcept;

Returns: !(x == y).

constexpr bool operator<(const year_lastweek_weekday& x, const year_lastweek_weekday& y) noexcept;

Returns: x.year() < y.year() ? true : (x.year() > y.year() ? false : (unsigned{x.weekday()} < unsigned{y.weekday()})).

constexpr bool operator>(const year_lastweek_weekday& x, const year_lastweek_weekday& y) noexcept;

Returns: y < x.

constexpr bool operator<=(const year_lastweek_weekday& x, const year_lastweek_weekday& y) noexcept;

Returns: !(y < x).

constexpr bool operator>=(const year_lastweek_weekday& x, const year_lastweek_weekday& y) noexcept;

Returns: !(x < y).

constexpr year_lastweek_weekday operator+(const year_lastweek_weekday& x, const years& y) noexcept;

Returns: (x.year() + y) / last / x.weekday().

constexpr year_lastweek_weekday operator+(const years& y, const year_lastweek_weekday& x) noexcept;

Returns: x + y.

constexpr year_lastweek_weekday operator-(const year_lastweek_weekday& x, const years& y) noexcept;

Returns: x + -y.

std::ostream& operator<<(std::ostream& os, const year_lastweek_weekday& x);

Effects: os << x.year() << "-W last-" << x.weekday().

Returns: os.

date composition operators

To understand this API it is not necessary for you to memorize each of these operators. Indeed, that would be detrimental to understanding this API. Instead it is sufficient to known that this collection of operators implement constructions in 3 orders:

  1. year/weeknum/weekday
  2. weeknum/weekday/year
  3. weekday/weeknum/year

The first component in each order must be properly typed, the following components may be specified with the proper type or an int.

Anywhere a "weeknum" is required one can also specify last to indicate the last week of the year.

Sub-field-types such as year_weeknum and weeknum_weekday can be created by simply not applying the second division operator for any of the three orders. For example:

year_weeknum ym = 2015_y/52_w;
weeknum_weekday md1 = 52_w/thu;
weeknum_weekday md2 = thu/52_w;

Everything not intended as above is caught as a compile-time error, with the notable exception of an expression that consists of nothing but int, which of course has type int.

auto a = 2015/4/4;       // a == int(125)
auto b = 2015_y/4/4;     // b == year_weeknum_weekday{year(2015), week(4), weekday(4)}
auto c = 2015_y/thu/4_w; // error: invalid operands to binary expression ('iso_week::year' and 'iso_week::weekday')
auto d = 2015/4_w/4;     // error: invalid operands to binary expression ('int' and 'const iso_week::weeknum')

The last example may be clear to a human reader. But the compiler doesn't know if 2015 refers to a year or a weekday. Instead of guessing, the compiler flags it as an error.

In short, you will either write unambiguous and readable code, or you will get a compile-time error.


year_weeknum:

constexpr year_weeknum operator/(const year& y, const weeknum& wn) noexcept;
Returns: {y, wn}.
constexpr year_weeknum operator/(const year& y, int wn) noexcept;
Returns: y / weeknum(wn).

year_lastweek:

constexpr year_lastweek operator/(const year& y, last_week) noexcept;
Returns: year_lastweek{y}.

weeknum_weekday:

constexpr weeknum_weekday operator/(const weeknum& wn, const weekday& wd) noexcept;
Returns: {wn, wd}.
constexpr weeknum_weekday operator/(const weeknum& wn, int wd) noexcept;
Returns: wn / weekday{static_cast<unsigned>(wd)}.
constexpr weeknum_weekday operator/(const weekday& wd, const weeknum& wn) noexcept;
Returns: wn / wd.
constexpr weeknum_weekday operator/(const weekday& wd, int wn) noexcept;
Returns: weeknum{static_cast<unsigned>(wn)} / wd.

lastweek_weekday:

constexpr lastweek_weekday operator/(const last_week&, const weekday& wd) noexcept;
Returns: lastweek_weekday{wd}.
constexpr lastweek_weekday operator/(const last_week& wn, int wd) noexcept;
Returns: wn / weekday{static_cast<unsigned>(wd)}.
constexpr lastweek_weekday operator/(const weekday& wd, const last_week& wn) noexcept;
Returns: wn / wd.

year_weeknum_weekday:

constexpr year_weeknum_weekday operator/(const year_weeknum& ywn, const weekday& wd) noexcept;
Returns: {ywn.year(), ywn.weeknum(), wd}.
constexpr year_weeknum_weekday operator/(const year_weeknum& ywn, int wd) noexcept;
Returns: ywn / weekday{static_cast<unsigned>(wd)}.
constexpr year_weeknum_weekday operator/(const weeknum_weekday& wnwd, const year& y) noexcept;
Returns: {y, wnwd.weeknum(), wnwd.weekday()}.
constexpr year_weeknum_weekday operator/(const weeknum_weekday& wnwd, int y) noexcept;
Returns: wnwd / year{y}.

year_lastweek_weekday:

constexpr year_lastweek_weekday operator/(const year_lastweek& ylw, const weekday& wd) noexcept;
Returns: {ylw.year(), wd}.
constexpr year_lastweek_weekday operator/(const year_lastweek& ylw, int wd) noexcept;
Returns: ylw / weekday{static_cast<unsigned>(wd)}.
constexpr year_lastweek_weekday operator/(const lastweek_weekday& lwwd, const year& y) noexcept;
Returns: {y, lwwd.weekday()}.
constexpr year_lastweek_weekday operator/(const lastweek_weekday& lwwd, int y) noexcept;
Returns: lwwd / year{y}.