xo-unit: doc improvements to match upgraded ex1, ex2, ex3
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3 changed files with 121 additions and 56 deletions
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@ -9,109 +9,172 @@ Examples
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Compile-time unit inference
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---------------------------
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.. code-block:: cpp
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See ``xo-unit/examples/ex1`` for code below.
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#include "xo/unit/quantity.hpp"
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#include <iostream>
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int main() {
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namespace u = xo::unit::units;
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namespace qty = xo::unit::qty;
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using xo::unit::quantity;
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using namespace std;
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auto t = qty::milliseconds(10);
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auto m = qty::kilograms(2.5);
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auto a = m / (t * t);
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static_assert(same_as<decltype(t), quantity<u::millisecond, int>>);
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static_assert(same_as<decltype(m), quantity<u::kilogram, double>>);
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static_assert(sizeof(t) == sizeof(int));
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static_assert(sizeof(m) == sizeof(double));
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static_assert(sizeof(a) == sizeof(double));
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cerr << "t: " << t << ", m: " << m << ", a: " << a << endl;
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}
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with output:
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.. code-block::
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t: 10ms, m: 2.5kg, m.t^-2: 0.025kg.ms^-2
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Remarks:
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* The ``xo-unit`` system runs entirely at compile time; there's no runtime overhead.
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* No runtime overhead includes construction of literal strings such as ``kg.ms^-2``
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(this is once place implementation requires c++20)
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* Units are sticky: since we expressed ``t`` in milliseconds and ``m`` in kilograms, result is in the same terms.
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* Unit ordering is sticky. Mass appears on the left in printed value of ``a`` because it was on the left-hand side of ``operator/``
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* Example omits verifying ``decltype(a)``, to keep output small.
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* Conversion factors are exact (provided dimensions are limited to integer powers).
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Exact conversion involves no loss of precision.
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Explicit scale conversion
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-------------------------
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Can convert between compatible units explictly:
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Units propagate through familiar arithmetic expressions:
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.. code-block:: cpp
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:linenos:
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:emphasize-lines: 11-12
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:emphasize-lines: 15-16
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#include "xo/unit/quantity.hpp"
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#include "xo/unit/quantity_iostream.hpp"
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#include <iostream>
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int
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main () {
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namespace u = xo::unit::units;
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namespace qty = xo::unit::qty;
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namespace q = xo::qty::qty;
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namespace su = xo::qty::su;
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using xo::qty::quantity;
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using namespace std;
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auto t1 = qty::milliseconds(25.0);
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auto t1_usec = t1.with_unit<u::microsecond>();
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auto t1_sec = t1.with_unit<u::second>();
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constexpr auto t = q::minutes(2);
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constexpr auto d = q::kilometers(2.5);
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cerr << "t1: " << t1 << ", t1_usec: " << t1_usec << ", t1_sec: " << t1_sec << endl;
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constexpr auto t2 = t*t;
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constexpr auto a = d / (t*t);
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cerr << "t: " << t << ", d: " << d
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<< ", t^2: " << t2
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<< ", d.t^-2: " << a
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<< endl;
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}
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with output:
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.. code-block::
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t1: 25ms, t1_usec: 25000us, t1_sec: 0.025s
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t: 2min, d: 2.5km, t^2: 4min^2, d.t^-2: 0.625km.min^-2
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Remarks:
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- ``xo::qty::quantity`` performs unit consistency checking and propagation at compile time. Runtime space/time overhead is zero.
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- Unit abbreviations (such as ``kg.min^-2`` above) are computed at compile time. See ``xo::flatstring`` for constexpr string implementation.
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- Units are sticky: since we expressed ``t`` in minutes, ``(t*t)`` and ``d/(t*t)`` also use minutes.
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- Unit ordering is sticky. Distance appears on the left of time in printed value of ``d/(t*t)``
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because it was on the left-hand side of ``operator/``
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- See ``xo::xquantity`` for parallel implementation that defers unit checking until runtime.
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We can use static asserts to prove that units are being computed at compile-time
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.. code-block:: cpp
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:linenos:
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static_assert(std::same_as<decltype(t)::repr_type, double>);
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static_assert(sizeof(t) == sizeof(double));
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static_assert(t.scale() == 2);
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static_assert(t.abbrev() == flatstring("min"));
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static_assert(std::same_as<decltype(d)::repr_type, double>);
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static_assert(sizeof(d) == sizeof(double));
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static_assert(d.scale() == 2.5);
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static_assert(d.abbrev() == flatstring("km"));
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static_assert(std::same_as<decltype(t2)::repr_type, double>);
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static_assert(sizeof(t2) == sizeof(double));
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static_assert(t2.scale() == 4);
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static_assert(t2.abbrev() == flatstring("min^2"));
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static_assert(std::same_as<decltype(a)::repr_type, double>);
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static_assert(sizeof(a) == sizeof(double));
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static_assert(a.scale() == 0.625);
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static_assert(a.abbrev() == flatstring("km.min^-2"));
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Explicit scale conversion using rescale method
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----------------------------------------------
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Can convert between compatible units explictly:
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See ``xo-unit/examples/ex2`` for code below.
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.. code-block:: cpp
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:linenos:
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:emphasize-lines: 9
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...
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constexpr auto t = q::minutes(2);
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constexpr auto d = q::kilometers(2.5);
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constexpr auto t2 = t*t;
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constexpr auto a = d / (t*t);
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constexpr auto a2 = a.template rescale<su::meter / (su::second * su::second)>();
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static_assert(a2.abbrev() == flatstring("m.s^-2"));
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cerr << "a2: " << a2 << endl;
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with output:
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.. code-block:: cpp
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a2: 0.173611m.s^-2
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Explicit scale conversion from another quantity
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-----------------------------------------------
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Alternatively, can transfer units from another quantity
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See ``xo-unit/example/ex2`` for code below
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.. code-block:: cpp
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:linenos:
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:emphasize-lines: 1-2
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constexpr auto au = q::meter / (q::second * q::second); /* just for units */
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constexpr auto a3 = with_units(a, au);
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static_assert(a3.abbrev() == flatstring("m.s^-2"));
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cerr << "a3: " << a3 << endl;
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with output:
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.. code-block:: cpp
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a3: 0.173611m.s^-2
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Scale conversion triggered by assignment
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----------------------------------------
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One way to convert units is by assignment:
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Another way to convert units is by assignment
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See ``xo-unit/example/ex3`` for code below
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.. code-block:: cpp
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:linenos:
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:emphasize-lines: 10-11
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#include "xo/unit/quantity.hpp"
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#include <iostream>
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int main() {
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namespace u = xo::unit;
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namespace qty = xo::units::qty;
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using xo::unit::quantity;
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int
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main () {
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namespace q = xo::qty::qty;
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namespace nu = xo::qty::nu;
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using xo::qty::with_units;
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using xo::qty::stdquantity;
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using xo::qty::quantity;
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using xo::flatstring;
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using namespace std;
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quantity<units::second> t = qty::milliseconds(10);
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quantity<units::gram> m = qty::kilograms(2.5);
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auto a = m / (t * t);
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constexpr stdquantity<nu::second> t = q::minutes(2);
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constexpr stdquantity<nu::meter> d = q::kilometers(2.5);
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cerr << "t: " << t << ", m: " << m << ", a: " << a << endl;
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constexpr auto t2 = t*t;
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constexpr auto a = d / (t*t);
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cerr << "t: " << t << ", d: " << d
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<< ", d.t^-2: " << a
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<< endl;
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}
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with output:
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.. code-block::
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t: 0.01s, m: 2500g, m.t^-2: 2.5e+07g.s^-2
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t: 120s, d: 2500m, d.t^-2: 0.17e611m.s^-2
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Remarks:
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@ -12,8 +12,10 @@ dimension checking and unit conversion.
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Functionality is similar in spirit to that provided by ``boost::units``;
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however there are some important differences:
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First, implementation relies on c++20 features
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like class-instance template parameters to efficiently assemble string constants at compile time.
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* interchangeable compile-time / run-time unit representation.
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* constexpr string representation for things like unit abbreviations.
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* supports fractional dimensions, for concepts like volatility.
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* integration with python (see sister project xo-pyunit)
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Second, ``xo-unit`` supports fractional dimensions. This allows using it to naturally handle
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concepts like volatility (dimension 1/sqrt(time)), for example.
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@ -11,7 +11,7 @@ Install
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.. _xo-unit source: https://github.com/rconybea/xo-unit
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Implementation relies on some c++20 features (for example class-instances as template arguments).
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Tested with gcc 12.3
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Tested with gcc 12.3, 13.2
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Include as submodule
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--------------------
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@ -35,7 +35,7 @@ to c++ source files that rely on xo-unit
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Supported compilers
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-------------------
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* developed with gcc 12.3.0; github CI using gcc 11.4.0 (asof March 2024)
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* developed with gcc 12.3.0 and gcc 13.2.0; github CI using gcc 11.4.0 (asof March 2024)
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Building from source
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--------------------
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