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cppdraft/cmplx/over.md

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+[cmplx.over]
+
+# 29 Numerics library [[numerics]](./#numerics)
+
+## 29.4 Complex numbers [[complex.numbers]](complex.numbers#cmplx.over)
+
+### 29.4.10 Additional overloads [cmplx.over]
+
+[1](#1)
+
+[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/numerics.tex#L1173)
+
+The following function templates have additional constexpr overloads:arg norm
+conj proj
+imag real
+
+[2](#2)
+
+[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/numerics.tex#L1186)
+
+The additional constexpr overloads are sufficient to ensure:
+
+- [(2.1)](#2.1)
+
+  If the argument has a floating-point type T,
+then it is effectively cast to complex<T>[.](#2.1.sentence-1)
+
+- [(2.2)](#2.2)
+
+  Otherwise, if the argument has integer type,
+then it is effectively cast to complex<double>[.](#2.2.sentence-1)
+
+[3](#3)
+
+[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/numerics.tex#L1198)
+
+Function template pow has additional constexpr overloads sufficient to ensure,
+for a call with one argument of type complex<T1> and
+the other argument of type T2 or complex<T2>,
+both arguments are effectively cast to complex<common_type_t<T1, T3>>,
+where T3 isdouble if T2 is an integer type and T2 otherwise[.](#3.sentence-1)
+
+If common_type_t<T1, T3> is not well-formed,
+then the program is ill-formed[.](#3.sentence-2)