xo-unit ++ docs ++ quantity arithmetic + example

This commit is contained in:
Roland Conybeare 2024-05-23 14:44:00 -04:00
commit b0ce5eaee9
34 changed files with 713 additions and 173 deletions

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@ -399,7 +399,7 @@ namespace xo {
}
///@}
/** @defgroup quantity-arithmetic **/
/** @defgroup mpl-quantity-arithmetic **/
///@{
/** @brief add quantity in-place
*

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@ -8,6 +8,7 @@
#include "quantity_ops.hpp"
#include "natural_unit.hpp"
#include "scaled_unit.hpp"
#include "scaled_unit_concept.hpp"
namespace xo {
namespace qty {
@ -70,22 +71,40 @@ namespace xo {
/** @defgroup quantity-access-methods quantity access methods **/
///@{
/** @brief value of @c scale_ in quantity representing amount (@c scale_ * @c s_unit) **/
constexpr const repr_type & scale() const { return scale_; }
/** @brief s_unit in quantity representing amount (@c scale_ * @c s_unit) **/
constexpr const unit_type & unit() const { return s_scaled_unit; }
/** @brief true iff this quantity represents a dimensionless value **/
constexpr bool is_dimensionless() const {
static constexpr bool is_dimensionless() {
return s_scaled_unit.is_dimensionless();
}
///@}
// unit_qty
// zero_qty
/** abbreviated suffix for quantities with this unit **/
constexpr nu_abbrev_type abbrev() const {
return s_scaled_unit.natural_unit_.abbrev();
}
///@}
/** @defgroup quantity-arithmetic-support **/
///@{
/** create unit quantity with same unit as @c this **/
constexpr
auto unit_qty() const {
return quantity<s_scaled_unit, repr_type>(1);
}
/** create zero quantity with same unit as @c this **/
constexpr
auto zero_qty() const {
return quantity<s_scaled_unit, repr_type>(0);
}
constexpr
auto reciprocal() const {
return quantity<s_scaled_unit.reciprocal(),
@ -159,6 +178,9 @@ namespace xo {
}
///@}
/** @addtogroup quantity-arithmetic-support **/
///@{
/** create quantity representing this amount multiplied by dimensionless value @p x
*
* @pre x must be an arithmetic type such as @c int or @c double
@ -171,15 +193,36 @@ namespace xo {
return quantity<s_scaled_unit, r_repr_type>(x * this->scale_);
}
// divide_by
// divide_into
/** create quantity representing this quantity divided by dimensionless value @p x
*
* @pre x must be an arithmetic type such as @c int or @c double
**/
template <typename Dimensionless>
requires std::is_arithmetic_v<Dimensionless>
constexpr auto divide_by(Dimensionless x) const {
using r_repr_type = std::common_type_t<repr_type, Dimensionless>;
// divide
// add
// subtract
return quantity<s_scaled_unit, r_repr_type>(this->scale_ / x);
}
/** create quantity representing dimensionless value @x divided by this quantity
*
* @pre x must be an arithmetic type such as @c int or @c double
**/
template <typename Dimensionless>
requires std::is_arithmetic_v<Dimensionless>
constexpr auto divide_into(Dimensionless x) const {
using r_repr_type = std::common_type_t<repr_type, Dimensionless>;
return quantity(static_cast<r_repr_type>(x) / this->scale_,
s_scaled_unit.reciprocal());
}
///@}
/** @defgroup quantity-comparison-support **/
///@{
/** compare two @c quantity instances, under three-way comparison **/
template <typename Quantity2>
static constexpr
@ -188,18 +231,43 @@ namespace xo {
return x.scale() <=> y2.scale();
}
///@}
// operator-
// operator+=
// operator-=
/** @defgroup quantity-operators **/
///@{
/** unary negation; preserves unit information **/
quantity operator-() const {
return quantity(-scale_);
}
/** add @p y in-place, converting units if necessary **/
template <typename Quantity2>
constexpr
quantity & operator+=(const Quantity2 & y) {
quantity y2 = y.template rescale_ext<s_scaled_unit>();
this->scale_ += y2.scale();
return *this;
}
/** subtract @p y in-place, converting units if necessary **/
template <typename Quantity2>
constexpr
quantity & operator-=(const Quantity2 & y) {
quantity y2 = y.template rescale_ext<s_scaled_unit>();
this->scale_ -= y2.scale();
return *this;
}
// operator*=
// operator/=
/** **/
constexpr nu_abbrev_type abbrev() const {
return s_scaled_unit.natural_unit_.abbrev();
}
///@}
/** @defgroup quantity-assignment quantity assignment operators **/
///@{
@ -429,6 +497,9 @@ namespace xo {
return x.template with_repr<Repr2>();
}
/** @addtogroup quantity-operators **/
///@{
/** note: won't have constexpr result w/ fractional dimension until c++26 (when ::sqrt(), ::pow() are constexpr)
**/
template <typename Q1, typename Q2>
@ -442,7 +513,27 @@ namespace xo {
return detail::quantity_util::multiply(x, y);
}
/** note: won't have constexpr result w/ fractional dimension until c++26 (when ::sqrt(), ::pow() are constexpr)
/** note: does not require unit scaling, so constexpr with c++23 **/
template <typename Dimensionless, typename Quantity>
requires std::is_arithmetic_v<Dimensionless> && quantity_concept<Quantity>
constexpr auto
operator* (const Quantity & x, Dimensionless y)
{
return x.scale_by(y);
}
/** note: does not require unit scaling, so constexpr with c++23 **/
template <typename Dimensionless, typename Quantity>
requires std::is_arithmetic_v<Dimensionless> && quantity_concept<Quantity>
constexpr auto
operator* (Dimensionless x, const Quantity & y)
{
return y.scale_by(x);
}
/** divide quantity @p x by quantity @p y.
*
* note: won't have constexpr result w/ fractional dimension until c++26 (when ::sqrt(), ::pow() are constexpr)
**/
template <typename Q1, typename Q2>
requires (quantity_concept<Q1>
@ -455,7 +546,30 @@ namespace xo {
return detail::quantity_util::divide(x, y);
}
/** note: won't have constexpr result w/ fractional dimension until c++26 (when ::sqrt(), ::pow() are constexpr)
/** divide quantity @p x by dimensionless value @p y **/
template <typename Dimensionless, typename Quantity>
requires std::is_arithmetic_v<Dimensionless> && quantity_concept<Quantity>
constexpr auto
operator/ (const Quantity & x, Dimensionless y)
{
return x.divide_by(y);
}
/** divide dimensionless value @p x by quantity @p y **/
template <typename Dimensionless, typename Quantity>
requires std::is_arithmetic_v<Dimensionless> && quantity_concept<Quantity>
constexpr auto
operator/ (Dimensionless x, const Quantity & y)
{
return y.divide_into(x);
}
/** add quantity @p y to quantity @p x. Result will have the same units as @p x.
* Representation will be the widest of {@c x::repr_type, @c y::repr_type}.
*
* note: won't have constexpr result w/ fractional dimension until c++26 (when ::sqrt(), ::pow() are constexpr)
*
* @pre @p x and @p y expected to have consistent dimensions
**/
template <typename Q1, typename Q2>
requires (quantity_concept<Q1>
@ -468,7 +582,46 @@ namespace xo {
return detail::quantity_util::add(x, y);
}
/** note: won't have constexpr result w/ fractional dimension until c++26 (when ::sqrt(), ::pow() are constexpr)
/** subtract an arithmetic value from a dimensionless quantity **/
template <typename Quantity,
typename Dimensionless>
requires (quantity_concept<Quantity>
&& Quantity::is_dimensionless()
&& std::is_arithmetic_v<Dimensionless>)
constexpr auto
operator+ (const Quantity & x, Dimensionless y)
{
using repr_type = std::common_type_t<typename Quantity::repr_type, Dimensionless>;
auto xp = static_cast<repr_type>(x.scale());
auto yp = static_cast<repr_type>(y);
return xp + yp;
}
/** subtract a dimensionless quantity from an arithmetic value **/
template <typename Dimensionless,
typename Quantity>
requires (std::is_arithmetic_v<Dimensionless>
&& quantity_concept<Quantity>
&& Quantity::is_dimensionless())
constexpr auto
operator+ (Dimensionless x, const Quantity & y)
{
using repr_type = std::common_type_t<Dimensionless, typename Quantity::repr_type>;
auto xp = static_cast<repr_type>(x);
auto yp = static_cast<repr_type>(y.scale());
return xp + yp;
}
/** subtract quantity @p y from quantity @p x. Result will have the same units as @p x.
* Representation will be the widest of {@c x::repr_type, @c y::repr_type}
*
* note: won't have constexpr result w/ fractional dimension until c++26 (when ::sqrt(), ::pow() are constexpr)
*
* @pre @p x and @p y expected to have consistent dimensions
**/
template <typename Q1, typename Q2>
requires (quantity_concept<Q1>
@ -481,6 +634,8 @@ namespace xo {
return detail::quantity_util::subtract(x, y);
}
///@}
namespace qty {
// ----- mass -----
@ -528,22 +683,26 @@ namespace xo {
namespace qty {
// ----- mass constants ----
/** @brief a quantity representing 1 picogram of mass, with compile-time unit representation **/
/** a quantity representing 1 picogram of mass, with compile-time unit representation **/
static constexpr auto picogram = picograms(1);
/** @brief a quantity representing 1 nanogram of mass, with compile-time unit representation **/
/** a quantity representing 1 nanogram of mass, with compile-time unit representation **/
static constexpr auto nanogram = nanograms(1);
/** @brief a quantity representing 1 microgram of mass, with compile-time unit representation **/
/** a quantity representing 1 microgram of mass, with compile-time unit representation **/
static constexpr auto microgram = micrograms(1);
/** @brief a quantity representing 1 milligram of mass, with compile-time unit representation **/
/** a quantity representing 1 milligram of mass, with compile-time unit representation **/
static constexpr auto milligram = milligrams(1);
/** @brief a quantity representing 1 gram of mass, with compile-time unit representation **/
/** a quantity representing 1 gram of mass, with compile-time unit representation **/
static constexpr auto gram = grams(1);
/** @brief a quantity representing 1 kilogram of mass, with compile-time unit representation **/
/** a quantity representing 1 kilogram of mass, with compile-time unit representation **/
static constexpr auto kilogram = kilograms(1);
/** @brief a quantity representing 1 metric tonne of mass, with compile-time unit representation **/
/** a quantity representing 1 metric tonne of mass, with compile-time unit representation **/
static constexpr auto tonne = tonnes(1);
/** @brief a quantity representing 1 metric kilotonne of mass, with compile-time unit representation **/
/** a quantity representing 1 metric kilotonne of mass, with compile-time unit representation **/
static constexpr auto kilotonne = kilotonnes(1);
/** a quantity representing 1 metric megatonne of mass, with compile-time unit representation **/
static constexpr auto megatonne = megatonnes(1);
/** a quantity representing 1 metric gigatonne of mass, with compile-time unit representation **/
static constexpr auto gigatonne = gigatonnes(1);
} /*namespace qty*/
namespace qty {
@ -618,22 +777,37 @@ namespace xo {
static constexpr auto nanometer = nanometers(1);
/** a quantity representing 1 micrometer of distance, with compile-time unit representation **/
static constexpr auto micrometer = micrometers(1);
/** @brief a quantity representing 1 millimeter of distance, with compile-time unit representation **/
/** a quantity representing 1 millimeter of distance, with compile-time unit representation **/
static constexpr auto millimeter = millimeters(1);
/** @brief a quantity representing 1 meter of distance, with compile-time unit representation **/
/** a quantity representing 1 meter of distance, with compile-time unit representation **/
static constexpr auto meter = meters(1);
/** @brief a quantity representing 1 kilometer of distance, with compile-time unit representation **/
/** a quantity representing 1 kilometer of distance, with compile-time unit representation **/
static constexpr auto kilometer = kilometers(1);
/** @brief a quantity representing 1 megameter of distance, with compile-time unit representation **/
/** a quantity representing 1 megameter of distance, with compile-time unit representation **/
static constexpr auto megameter = megameters(1);
/** @brief a quantity representing 1 gigameter of distance, with compile-time unit representation **/
/** a quantity representing 1 gigameter of distance, with compile-time unit representation **/
static constexpr auto gigameter = gigameters(1);
/** @brief a quantity representing exactly 1 lightsecond of distance, with compile-time unit representation **/
/** a quantity representing exactly 1 lightsecond of distance,
* with compile-time unit representation
**/
static constexpr auto lightsecond = lightseconds(1);
/** @brief a quantity representing exactly 1 astronomical unit of distance, with compile-time unit representation **/
/** a quantity representing exactly 1 astronomical unit of distance,
* with compile-time unit representation
**/
static constexpr auto astronomicalunit = astronomicalunits(1);
/** a quantity representing 1 inch of distance, with compile-time unit operations **/
static constexpr auto inch = inches(1);
/** a quantity representing 1 foot of distance, with compile-time unit operations **/
static constexpr auto foot = feet(1);
/** a quantity representing 1 yard of distance, with compile-time unit operations **/
static constexpr auto yard = yards(1);
/** a quantity representing 1 mile of distance, with compile-time unit operations **/
static constexpr auto mile = miles(1);
} /*namespace qty*/
namespace qty {
@ -707,17 +881,48 @@ namespace xo {
namespace qty {
// ----- time constants ----
/** @brief a quantity representing 1 second of time, with compile-time unit representation **/
/** a quantity representing 1 picosecond of time, with compile-time unit representation **/
static constexpr auto picosecond = picoseconds(1);
/** a quantity representing 1 nanosecond of time, with compile-time unit representation **/
static constexpr auto nanosecond = nanoseconds(1);
/** a quantity representing 1 microsecond of time, with compile-time unit representation **/
static constexpr auto microsecond = microseconds(1);
/** a quantity representing 1 millisecond of time, with compile-time unit representation **/
static constexpr auto millisecond = milliseconds(1);
/** a quantity representing 1 second of time, with compile-time unit representation **/
static constexpr auto second = seconds(1);
/** @brief a quantity representing 1 minute of time, with compile-time unit representation **/
/** a quantity representing 1 minute of time, with compile-time unit representation **/
static constexpr auto minute = minutes(1);
/** @brief a quantity representing 1 hour of time, with compile-time unit representation **/
/** a quantity representing 1 hour of time, with compile-time unit representation **/
static constexpr auto hour = hours(1);
/** @brief a quantity representing 1 day of time (exactly 24 hours), with compile-time unit representation **/
/** a quantity representing 1 day of time (exactly 24 hours), with compile-time unit representation **/
static constexpr auto day = days(1);
/** a quantity representing 1 week of time (7 24-hour days), with compile-time unit representation **/
static constexpr auto week = weeks(1);
/** a quantity representing 1 month of time (30 24-hour days), with compile-time unit representation **/
static constexpr auto month = months(1);
/** a quantity representing 1 year of time (365.25 24-hour days), with compile-time unit representation **/
static constexpr auto year = years(1);
/** a quantity representing 1 250-day year of time, with compile-time unit representation **/
static constexpr auto year250 = year250s(1);
/** a quantity representing 1 360-day year of time, with compile-time unit representation **/
static constexpr auto year360 = year360s(1);
/** a quantity representing 1 365-day year of time, with compile-time unit representation **/
static constexpr auto year365 = year365s(1);
} /*namespace qty*/
namespace qty {

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@ -9,24 +9,45 @@
namespace xo {
namespace qty {
/** note: does not require unit scaling, so constexpr with c++23 **/
template <typename Dimensionless, typename Quantity>
requires std::is_arithmetic_v<Dimensionless> && quantity_concept<Quantity>
/** @defgroup quantity-dimensionless-operators **/
///@{
/** subtract an arithmetic value from a dimensionless quantity **/
template <typename Quantity,
typename Dimensionless>
requires (quantity_concept<Quantity>
&& Quantity::is_dimensionless()
&& std::is_arithmetic_v<Dimensionless>)
constexpr auto
operator* (Dimensionless x, const Quantity & y)
operator- (const Quantity & x, Dimensionless y)
{
return y.scale_by(x);
using repr_type = std::common_type_t<typename Quantity::repr_type, Dimensionless>;
auto xp = static_cast<repr_type>(x.scale());
auto yp = static_cast<repr_type>(y);
return xp - yp;
}
/** note: does not require unit scaling, so constexpr with c++23 **/
template <typename Dimensionless, typename Quantity>
requires std::is_arithmetic_v<Dimensionless> && quantity_concept<Quantity>
/** subtract a dimensionless quantity from an arithmetic value **/
template <typename Dimensionless,
typename Quantity>
requires (std::is_arithmetic_v<Dimensionless>
&& quantity_concept<Quantity>
&& Quantity::is_dimensionless())
constexpr auto
operator* (const Quantity & x, Dimensionless y)
operator- (Dimensionless x, const Quantity & y)
{
return x.scale_by(y);
using repr_type = std::common_type_t<Dimensionless, typename Quantity::repr_type>;
auto xp = static_cast<repr_type>(x);
auto yp = static_cast<repr_type>(y.scale());
return xp - yp;
}
///@}
/** note: won't have constexpr result until c++26 (when ::sqrt(), ::pow() are constexpr)
**/
template <typename Quantity, typename Quantity2>

View file

@ -44,6 +44,9 @@ namespace xo {
/** @defgroup scaled-unit-access-methods scaled-unit access methods **/
///@{
/** always true for scaled_unit **/
static constexpr bool is_scaled_unit_type_v = true;
/** always true for scaled_unit **/
constexpr bool is_scaled_unit_type() const { return true; }

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@ -0,0 +1,23 @@
/** @file scaled_unit_concept.hpp **/
#pragma once
#include <concepts>
namespace xo {
namespace qty {
template <typename ScaledUnit>
concept scaled_unit_concept = requires(ScaledUnit su)
{
typename ScaledUnit::ratio_int_type;
{ su.is_scaled_unit_type() } -> std::same_as<bool>;
{ su.is_natural() } -> std::same_as<bool>;
{ su.is_dimensionless() } -> std::same_as<bool>;
} && ScaledUnit::is_scaled_unit_type_v;
} /*namespace qty*/
} /*namespace xo*/
/** end scaled_unit_concept.hpp **/

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@ -18,7 +18,7 @@ namespace xo {
*
* Constexpr implementation, but units are explicitly represented:
* @code
* sizeof(Quantity2) > sizeof(Repr)
* sizeof(xquantity) > sizeof(xquantity::repr_type)
* @endcode
*
* Explicit unit representation allows introducing units at runtime,
@ -32,22 +32,47 @@ namespace xo {
* - Repr supports conversion from double.
**/
template <typename Repr = double,
typename Int = std::int64_t,
typename Int2x = detail::width2x_t<Int>>
typename Int = std::int64_t>
class xquantity {
public:
/** @defgroup xquantity-type-traits xquantity type traits **/
///@{
/** @brief runtime representation for this value's scale **/
using repr_type = Repr;
/** @brief runtime representation for this value's unit **/
using unit_type = natural_unit<Int>;
/** @brief type used for numerator and denominator in basis-unit scalefactor ratios **/
using ratio_int_type = Int;
using ratio_int2x_type = Int2x;
/** @brief double-width type for numerator and denominator of intermediate
* scalefactor ratios. Use to mitigate loss of precision during computation
* of conversion factors between units with widely-differing magnitude
**/
using ratio_int2x_type = detail::width2x_t<typename unit_type::ratio_int_type>;
///@}
public:
/* zero, dimensionless */
/** @defgroup xquantity-ctors xquantity constructors **/
///@{
/** create dimensionless, zero quantity **/
constexpr xquantity()
: scale_{0}, unit_{natural_unit<Int>()} {}
/** create quantity representing multiple of @p scale times @p unit **/
constexpr xquantity(Repr scale,
const natural_unit<Int> & unit)
: scale_{scale}, unit_{unit} {}
/** create quantity representing multiple of @p scale times @p unit.
*
* Collects outer scalefactors (if any) from @p unit,
* so for example:
*
* @code
* using namespace xo::qty;
* xquantity q(123, u::meter * u::millimeter);
*
* q.scale() --> 0.123
* @endcode
**/
constexpr xquantity(Repr scale,
const scaled_unit<Int> & unit)
:
@ -59,17 +84,39 @@ namespace xo {
),
unit_{unit.natural_unit_} {}
///@}
static constexpr bool always_constexpr_unit = false;
/** @defgroup xquantity-access-methods xquantity access methods **/
///@{
/** get member @ref scale_ **/
constexpr const repr_type & scale() const { return scale_; }
/** get member @ref unit_ **/
constexpr const unit_type & unit() const { return unit_; }
/** true iff this quantity has no dimension **/
constexpr bool is_dimensionless() const { return unit_.is_dimensionless(); }
/** return abbreviation for quantities with this unit **/
constexpr nu_abbrev_type abbrev() const { return unit_.abbrev(); }
///@}
/** @defgroup xquantity-methods xquantity methods **/
///@{
/** create unit quantity with same unit as @c this **/
constexpr xquantity unit_qty() const { return xquantity(1, unit_); }
/** create zero quantity with same unit as @c this **/
constexpr xquantity zero_qty() const { return xquantity(0, unit_); }
/** create quantity representing reciprocal of @c this **/
constexpr xquantity reciprocal() const { return xquantity(1.0 / scale_, unit_.reciprocal()); }
/** create quantity representing the same value, but in units of @p unit2 **/
constexpr
auto rescale(const natural_unit<Int> & unit2) const {
/* conversion factor from .unit -> unit2*/
@ -86,24 +133,28 @@ namespace xo {
}
}
/** create quantity representing this value scaled by dimensionless mutliplier @p x **/
template <typename Dimensionless>
requires std::is_arithmetic_v<Dimensionless>
constexpr auto scale_by(Dimensionless x) const {
return xquantity(x * this->scale_, this->unit_);
}
/** create quantity representing this value scaled by dimensionless multiplier @p 1/x **/
template <typename Dimensionless>
requires std::is_arithmetic_v<Dimensionless>
constexpr auto divide_by(Dimensionless x) const {
return xquantity(this->scale_ / x, this->unit_);
}
/** create quantity representing dimensionless numerator @p x divided by this value **/
template <typename Dimensionless>
requires std::is_arithmetic_v<Dimensionless>
constexpr auto divide_into(Dimensionless x) const {
return xquantity(x / this->scale_, this->unit_.reciprocal());
}
/** multiply two @c xquantity values, or a mixed (@c xquantity, @c quantity) pair **/
template <typename Quantity2>
static constexpr
auto multiply(const xquantity & x, const Quantity2 & y) {
@ -125,6 +176,7 @@ namespace xo {
rr.natural_unit_);
}
/** compute quotient @p x / @p y, where @p x and @p y are xquantities **/
template <typename Quantity2>
static constexpr
auto divide(const xquantity & x, const Quantity2 & y) {
@ -149,6 +201,7 @@ namespace xo {
rr.natural_unit_);
}
/** compute sum @p x + @p y, where @p x and @p y are xquantities **/
template <typename Quantity2>
static constexpr
auto add(const xquantity & x, const Quantity2 & y) {
@ -176,6 +229,7 @@ namespace xo {
}
}
/** compute difference @p x - @p y, where @p x and @p y are xquantities **/
template <typename Quantity2>
static constexpr
auto subtract(const xquantity & x, const Quantity2 & y) {
@ -203,6 +257,7 @@ namespace xo {
}
}
/** perform 3-way comparison between @c xquantity values @p x and @p y **/
template <typename Quantity2>
static constexpr
auto compare(const xquantity & x, const Quantity2 & y) {
@ -211,6 +266,10 @@ namespace xo {
return x.scale() <=> y2.scale();
}
///@}
/** @defgroup xquantity-operators xquantity operators **/
///@{
xquantity operator-() const {
return xquantity(-scale_, unit_);
}
@ -228,16 +287,20 @@ namespace xo {
*this = *this / x;
return *this;
}
///@}
// TODO: operator+=, operator-=
constexpr nu_abbrev_type abbrev() const { return unit_.abbrev(); }
private:
/** @brief quantity represents this multiple of a unit amount **/
/** @defgroup xquantity-instance-vars **/
///@{
/** quantity represents this multiple of a unit amount **/
Repr scale_ = Repr{};
/** @brief unit for this quantity **/
/** unit for this quantity **/
natural_unit<Int> unit_;
///@}
}; /*xquantity*/
/** note: won't have constexpr result until c++26 (when ::sqrt(), ::pow() are constexpr)
@ -273,6 +336,26 @@ namespace xo {
return Q1::multiply(x, y);
}
/** note: won't have constexpr result until c++26 (when ::sqrt(), ::pow() are constexpr)
**/
template <typename Quantity>
requires quantity_concept<Quantity>
constexpr auto
operator* (double x, const Quantity & y)
{
return y.scale_by(x);
}
/** note: won't have constexpr result until c++26 (when ::sqrt(), ::pow() are constexpr)
**/
template <typename Quantity>
requires quantity_concept<Quantity>
constexpr auto
operator* (const Quantity & x, double y)
{
return x.scale_by(y);
}
/** note: won't have constexpr result until c++26 (when ::sqrt(), ::pow() are constexpr)
**/
template <typename Quantity, typename Quantity2>
@ -334,7 +417,8 @@ namespace xo {
/** note: won't have constexpr result until c++26 (when ::sqrt(), ::pow() are constexpr)
**/
template <typename Quantity, typename Quantity2>
requires quantity_concept<Quantity> && quantity_concept<Quantity2>
requires (quantity_concept<Quantity>
&& quantity_concept<Quantity2>)
constexpr auto
operator- (const Quantity & x, const Quantity2 & y)
{