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spec: clarify semantics of built-in functions 'complex', 'real', and …
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…'imag'

For golang#11669, golang#11540, golang#11945, golang#11946, golang#11947.

Change-Id: Ifb0053c498cee9f3473c396f9338d82bd856c110
Reviewed-on: https://go-review.googlesource.com/12860
Reviewed-by: Russ Cox <rsc@golang.org>
Reviewed-by: Rob Pike <r@golang.org>
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griesemer committed Aug 5, 2015
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Showing 1 changed file with 29 additions and 8 deletions.
37 changes: 29 additions & 8 deletions doc/go_spec.html
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<!--{
"Title": "The Go Programming Language Specification",
"Subtitle": "Version of July 31, 2015",
"Subtitle": "Version of August 5, 2015",
"Path": "/ref/spec"
}-->

Expand Down Expand Up @@ -5688,11 +5688,28 @@ <h3 id="Complex_numbers">Manipulating complex numbers</h3>
For <code>complex</code>, the two arguments must be of the same
floating-point type and the return type is the complex type
with the corresponding floating-point constituents:
<code>complex64</code> for <code>float32</code>,
<code>complex128</code> for <code>float64</code>.
The <code>real</code> and <code>imag</code> functions
together form the inverse, so for a complex value <code>z</code>,
<code>z</code> <code>==</code> <code>complex(real(z),</code> <code>imag(z))</code>.
<code>complex64</code> for <code>float32</code> arguments, and
<code>complex128</code> for <code>float64</code> arguments.
If one of the arguments evaluates to an untyped constant, it is first
<a href="#Conversions">converted</a> to the type of the other argument.
If both arguments evaluate to untyped constants, they must be non-complex
numbers or their imaginary parts must be zero, and the return value of
the function is an untyped complex constant.
</p>

<p>
For <code>real</code> and <code>imag</code>, the argument must be
of complex type, and the return type is the corresponding floating-point
type: <code>float32</code> for a <code>complex64</code> argument, and
<code>float64</code> for a <code>complex128</code> argument.
If the argument evaluates to an untyped constant, it must be a number,
and the return value of the function is an untyped floating-point constant.
</p>

<p>
The <code>real</code> and <code>imag</code> functions together form the inverse of
<code>complex</code>, so for a value <code>z</code> of a complex type <code>Z</code>,
<code>z&nbsp;==&nbsp;Z(complex(real(z),&nbsp;imag(z)))</code>.
</p>

<p>
Expand All @@ -5702,11 +5719,15 @@ <h3 id="Complex_numbers">Manipulating complex numbers</h3>

<pre>
var a = complex(2, -2) // complex128
var b = complex(1.0, -1.4) // complex128
const b = complex(1.0, -1.4) // untyped complex constant 1 - 1.4i
x := float32(math.Cos(math.Pi/2)) // float32
var c64 = complex(5, -x) // complex64
var im = imag(b) // float64
const s uint = complex(1, 0) // untyped complex constant 1 + 0i can be converted to uint
_ = complex(1, 2&lt;&lt;s) // illegal: 2 has floating-point type, cannot shift
var rl = real(c64) // float32
var im = imag(a) // float64
const c = imag(b) // untyped constant -1.4
_ = imag(3 &lt;&lt; s) // illegal: 3 has complex type, cannot shift
</pre>

<h3 id="Handling_panics">Handling panics</h3>
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