[#mp_units-fma-0a]
= xref:mp_units.adoc[mp_units]::fma
:relfileprefix: ../
:mrdocs:

Computes the fma of 2 quantities and a quantity point

== Synopsis

Declared in `<mp‐units/math.h>`

[source,cpp,subs="verbatim,replacements,macros,-callouts"]
----
template<
    auto R,
    auto S,
    auto T,
    auto Origin,
    typename Rep1,
    typename Rep2,
    typename Rep3>
requires requires { get_common_quantity_spec(get_quantity_spec(R) * get_quantity_spec(S), get_quantity_spec(T)); } &&
           (equivalent(get_unit(R) * get_unit(S), get_unit(T))) && requires(Rep1 v1, Rep2 v2, Rep3 v3) {
             requires requires { fma(v1, v2, v3); } || requires { std::fma(v1, v2, v3); };
           }
[[nodiscard]]
constexpr
xref:mp_units/QuantityPointOf.adoc[QuantityPointOf<get_common_quantity_spec(get_quantity_spec(R) * get_quantity_spec(S), get_quantity_spec(T))>] auto
fma(
    xref:mp_units/quantity-01.adoc[quantity<R, Rep1>] const& a,
    xref:mp_units/quantity-01.adoc[quantity<S, Rep2>] const& x,
    xref:mp_units/quantity_point-08.adoc[quantity_point<T, Origin, Rep3>] const& b) noexcept;
----

== Return Value

QuantityPoint: The nearest floating point representable to ax+b

== Parameters

[cols=2]
|===
| Name
| Description
| *a:*
| Multiplicand
| *x:*
| Multiplicand
| *b:*
| Addend
| *a*
| A quantity
| *x*
| A quantity
| *b*
| A quantity point
|===


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