Spiral rule and ‘declaration follows usage’ for parsing C and C++ declarations

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You just have to build it up in steps.

char *X();  // X =~ (*(*a[N])())

Function returning char*

char *(*Y())();  // Y =~ (*a[N])

Function returning pointer to function returning char*.

In a declaration, just as in an expression (declaration follow usage), postfix [] has a higher precedence that unary * so *a[N] is equivalent to *(a[N]), not (*a)[N].

char *(*(*Z)())();  // Z =~ a[N]

Pointer to function returning pointer to function returning char*.

char *(*(*a[N])())();

Array of N pointers to functions returning a pointer to function returning char*.

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