In Go, the following works (note one use of the map has one return, the other has two returns)
package main
import "fmt"
var someMap = map[string]string { "some key": "hello" }
func main() {
    if value, ok := someMap["some key"]; ok {
        fmt.Println(value)
    }
    value := someMap["some key"]
    fmt.Println(value)
}
However, I have no idea how to do this same thing with my own function. Is it possible to have similar behavior with an optional return like map?
For example:
package main
import "fmt"
func Hello() (string, bool) {
    return "hello", true
}
func main() {
    if value, ok := Hello(); ok {
        fmt.Println(value)
    }
    value := Hello()
    fmt.Println(value)
}
Wont compile (due to the error multiple-value Hello() in single-value context) ... is there a way to make this syntax work for the function Hello()?
map is different because it is a built-in type and not a function. The 2 forms of accessing an element of a map is specified by the Go Language Specification: Index Expressions and backed by the compiler.
With functions you can't do this. If a function has 2 return values, you have to "expect" both of them or none at all.
However you are allowed to assign any of the return values to the Blank identifier:
s, b := Hello()    // Storing both of the return values
s2, _ := Hello()   // Storing only the first
_, b3 := Hello()   // Storing only the second
You can also choose not to store any of the return values:
Hello()            // Just executing it, but storing none of the return values
Note: you could also assign both of the return values to the blank identifier, although it has no use (other than validating that it has exactly 2 return values):
_, _ = Hello()     // Storing none of the return values; note the = instead of :=
You can also try these on the Go Playground.
Helper function
If you use it many times and you don't want to use the blank identifier, create a helper function which discards the 2nd return value:
func Hello2() string {
    s, _ := Hello()
    return s
}
And now you can do:
value := Hello2()
fmt.Println(value)
Go 1.18 generics update: Go 1.18 adds generics support, it is now possible to write a generic First() function which discards the second (or any further) return values:
func First[T any](first T, _ ...any) T {
    return first
}
This is available in github.com/icza/gog, as gog.First() (disclosure: I'm the author).
Using it:
value := First(Hello())
fmt.Println(value)
                        In addition to the explanation of @icza:
Hello function is your own function.You can also do this:
package main
import "fmt"
func Hello() (string, bool) {
    return "hello", true
}
func main() {
    // Just move it one line above: don't use a short-if
    value, ok := Hello()
    if ok {
        fmt.Println(value)
    }
}
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