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feat: representation type template parameter added to value convertion functions
Resolves #588
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@@ -148,30 +148,45 @@ Price price{12.95 * USD};
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Scaled spx = value_cast<USD_s, std::int64_t>(price);
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```
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As a shortcut, instead of providing a unit and a representation type to `value_cast`, you may also provide a
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`Quantity` type directly, from which unit and representation type are taken. However, `value_cast<Quantity>`,
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still only allows for changes in unit and representation type, but not changing the type of the quantity.
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For that, you will have to use a `quantity_cast` instead.
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As a shortcut, instead of providing a unit and a representation type to `value_cast`, you may also
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provide a `Quantity` type directly, from which unit and representation type are taken. However,
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`value_cast<Quantity>`, still only allows for changes in unit and representation type, but not
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changing the type of the quantity. For that, you will have to use a `quantity_cast` instead.
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Overloads are also provided for instances of `quantity_point`. All variants of `value_cast<...>(q)`
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that apply to instances of `quantity` have a corresponding version applicable to `quantity_point`,
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where the `point_origin` remains untouched, and the cast changes how the "offset" from the origin
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is represented. Specifically, for any `quantity_point` instance `qp`, all of the following
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equivalences hold:
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Overloads are also provided for instances of `quantity_point`.
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All variants of `value_cast<...>(q)` that apply to instances of `quantity`
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have a corresponding version applicable to `quantity_point`, where the `point_origin` remains untouched,
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and the cast changes how the "offset" from the origin is represented.
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Specifically, for any `quantity_point` instance `qp`, all of the following equivalences hold:
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```cpp
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static_assert( value_cast<Rep>(qp) == quantity_point{value_cast<Rep>(qp.quantity_from(qp.point_origin)), qp.point_origin} );
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static_assert( value_cast<U>(qp) == quantity_point{value_cast<U>(qp.quantity_from(qp.point_origin)), qp.point_origin} );
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static_assert( value_cast<U, Rep>(qp) == quantity_point{value_cast<U, Rep>(qp.quantity_from(qp.point_origin)), qp.point_origin} );
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static_assert( value_cast<Q>(qp) == quantity_point{value_cast<Q>(qp.quantity_from(qp.point_origin)), qp.point_origin} );
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static_assert(value_cast<Rep>(qp) == quantity_point{value_cast<Rep>(qp.quantity_from(qp.point_origin)), qp.point_origin});
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static_assert(value_cast<U>(qp) == quantity_point{value_cast<U>(qp.quantity_from(qp.point_origin)), qp.point_origin});
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static_assert(value_cast<U, Rep>(qp) == quantity_point{value_cast<U, Rep>(qp.quantity_from(qp.point_origin)), qp.point_origin});
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static_assert(value_cast<Q>(qp) == quantity_point{value_cast<Q>(qp.quantity_from(qp.point_origin)), qp.point_origin});
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```
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Furthermore, there is one additional overload `value_cast<ToQP>(qp)`.
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This overload permits to additionally replace the `point_origin` with another compatible one,
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while still representing the same point in the affine space.
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Thus, it is roughly equivalent to
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Furthermore, there is one additional overload `value_cast<ToQP>(qp)`. This overload permits to
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additionally replace the `point_origin` with another compatible one, while still representing
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the same point in the affine space. Thus, it is roughly equivalent to
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`value_cast<ToQP::unit, ToQP::rep>(qp).point_for(ToQP::point_origin)`.
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In contrast to a separate `value_cast` followed by `point_for` (or vice-versa), the combined
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`value_cast` tries to choose the order of the individual conversion steps in a way
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to avoid both overflow and unnecessary loss of precision. Overflow is a risk because the change of origin point
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`value_cast` tries to choose the order of the individual conversion steps in a way to avoid both
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overflow and unnecessary loss of precision. Overflow is a risk because the change of origin point
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may require an addition of a potentially large offset (the difference between the origin points),
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which may well be outside the range of one or both quantity types.
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## Value conversions summary
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The table below provides all the value conversions functions that may be run on `x` being the
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instance of either `quantity` or `quantity_point`:
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| Forcing | Representation | Unit | Member function | Conversion function |
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|:-------:|:--------------:|:----:|--------------------|-----------------------|
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| No | Same | `u` | `x.in(u)` | |
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| No | `T` | Same | `x.in<T>()` | |
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| No | `T` | `u` | `x.in<T>(u)` | |
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| Yes | Same | `u` | `x.force_in(u)` | `value_cast<u>(x)` |
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| Yes | `T` | Same | `x.force_in<T>()` | `value_cast<T>(x)` |
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| Yes | `T` | `u` | `x.force_in<T>(u)` | `value_cast<u, T>(x)` |
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