source: doc/theses/mike_brooks_MMath/programs/bkgd-carray-arrty.c @ baa1d5d

Last change on this file since baa1d5d was 7972603, checked in by Michael Brooks <mlbrooks@…>, 7 months ago

Missing files from last thesis push

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1#include <stdio.h>
2#include <assert.h>
3#include <stdlib.h>
4
5#define SHOW(x, fmt) printf( #x ": " fmt "\n", x )
6
7#ifdef ERRS
8#define ERR(...) __VA_ARGS__
9#else
10#define ERR(...)
11#endif
12
13// int main( int argc, const char *argv[] ) {
14//     assert(argc == 2);
15//     const int n = atoi(argv[1]);
16//     assert(0 < n && n < 1000);
17
18//     float a1[42];
19//     float a2[n];
20//     SHOW(sizeof(a1), "%zd");
21//     SHOW(sizeof(a2), "%zd");
22
23// }
24
25
26    // SHOW(sizeof( a   ), "%zd");
27    // SHOW(sizeof(&a   ), "%zd");
28    // SHOW(sizeof( a[0]), "%zd");
29    // SHOW(sizeof(&a[0]), "%zd");
30
31
32
33int main() {
34
35/*
36When a programmer works with an array, C semantics provide access to a type that is different in every way from ``pointer to its first element.''
37
38Its qualities become apparent by inspecting the declaration
39*/
40    float a[10];
41/*
42
43The inspection begins by using @sizeof@ to provide definite program semantics for the intuition of an expression's type.
44
45Assuming a target platform keeps things concrete:
46*/
47    static_assert(sizeof(float)==4);    // floats (array elements) are 4 bytes
48    static_assert(sizeof(void*)==8);    // pointers are 8 bytes
49/*
50
51Consider the sizes of expressions derived from @a@, modified by adding ``pointer to'' and ``first element'' (and including unnecessary parentheses to avoid confusion about precedence).
52*/
53    static_assert(sizeof(  a    ) == 40); // array
54    static_assert(sizeof(& a    ) == 8 ); // pointer to array
55    static_assert(sizeof(  a[0] ) == 4 ); // first element
56    static_assert(sizeof(&(a[0])) == 8 ); // pointer to first element
57/*
58That @a@ takes up 40 bytes is common reasoning for C programmers.
59Set aside for a moment the claim that this first assertion is giving information about a type.
60For now, note that an array and a pointer to its first element are, sometimes, different things.
61
62The idea that there is such a thing as a pointer to an array may be surprising.
63It is not the same thing as a pointer to the first element:
64*/
65    typeof(& a    ) x;   // x is pointer to array
66    typeof(&(a[0])) y;   // y is pointer to first element
67                       ERR(
68    x = y;             // ill-typed
69    y = x;             // ill-typed
70                       )
71/*
72The first gets
73    warning: warning: assignment to `float (*)[10]' from incompatible pointer type `float *'
74and the second gets the opposite.
75*/
76
77/*
78We now refute a concern that @sizeof(a)@ is reporting on special knowledge from @a@ being an local variable,
79say that it is informing about an allocation, rather than simply a type.
80
81First, recognizing that @sizeof@ has two forms, one operating on an expression, the other on a type, we observe that the original answers are unaffected by using the type-parameterized form:
82*/
83    static_assert(sizeof(typeof(  a    )) == 40);
84    static_assert(sizeof(typeof(& a    )) == 8 );
85    static_assert(sizeof(typeof(  a[0] )) == 4 );
86    static_assert(sizeof(typeof(&(a[0]))) == 8 );
87
88/*
89Finally, the same sizing is reported when there is no allocation at all, and we launch the analysis instead from the pointer-to-array type.
90*/
91    void f( float (*pa)[10] ) {
92        static_assert(sizeof(   *pa     ) == 40); // array
93        static_assert(sizeof(    pa     ) == 8 ); // pointer to array
94        static_assert(sizeof(  (*pa)[0] ) == 4 ); // first element
95        static_assert(sizeof(&((*pa)[0])) == 8 ); // pointer to first element
96    }
97    f( & a );
98
99/*
100So, in spite of considerable programmer success enabled by an understanding that
101an array just a pointer to its first element (revisited TODO pointer decay),
102this understanding is simplistic.
103*/
104
105/*
106A shortened form for declaring local variables exists, provided that length information is given in the initializer:
107*/
108    float fs[] = {3.14, 1.707};
109    char cs[] = "hello";
110
111    static_assert( sizeof(fs) == 2 * sizeof(float) );
112    static_assert( sizeof(cs) == 6 * sizeof(char) );  // 5 letters + 1 null terminator
113
114/*
115In these declarations, the resulting types are both arrays, but their lengths are inferred.
116*/
117
118}
119
120
121void syntaxReferenceCheck(void) {
122    // $\rightarrow$ & (base element)
123    //     & @float@
124    //     & @float x;@
125    //     & @[ float ]@
126    //     & @[ float ]@
127    float x0;
128
129    // $\rightarrow$ & pointer
130    //     & @float *@
131    //     & @float * x;@
132    //     & @[ * float ]@
133    //     & @[ * float ]@
134    float * x1;
135
136    // $\rightarrow$ & array
137    //     & @float[10]@
138    //     & @float x[10];@
139    //     & @[ [10] float ]@
140    //     & @[ array(float, 10) ]@
141    float x2[10];
142
143    typeof(float[10]) x2b;
144
145    // & array of pointers
146    //     & @(float*)[10]@
147    //     & @float *x[10];@
148    //     & @[ [10] * float ]@
149    //     & @[ array(*float, 10) ]@
150    float *x3[10];
151//    (float *)x3a[10];  NO
152
153    // $\rightarrow$ & pointer to array
154    //     & @float(*)[10]@
155    //     & @float (*x)[10];@
156    //     & @[ * [10] float ]@
157    //     & @[ * array(float, 10) ]@
158    float (*x4)[10];
159
160    // & pointer to array
161    //     & @(float*)(*)[10]@
162    //     & @float *(*x)[10];@
163    //     & @[ * [10] * float ]@
164    //     & @[ * array(*float, 10) ]@
165    float *(*x5)[10];
166    x5 =     (float*(*)[10]) x4;
167//    x5 =     (float(*)[10]) x4;  // wrong target type; meta test suggesting above cast uses correct type
168
169    // [here]
170    // const
171
172    // [later]
173    // static
174    // star as dimension
175    // under pointer decay:                int p1[const 3]  being  int const *p1
176
177    const float * y1;
178    float const * y2;
179    float * const y3;
180
181    y1 = 0;
182    y2 = 0;
183    // y3 = 0; // bad
184
185    // *y1 = 3.14; // bad
186    // *y2 = 3.14; // bad
187    *y3 = 3.14;
188
189    const float z1 = 1.414;
190    float const z2 = 1.414;
191
192    // z1 = 3.14; // bad
193    // z2 = 3.14; // bad
194
195
196}
197
198#define T float
199void stx2() { const T x[10];
200//            x[5] = 3.14; // bad
201            }
202void stx3() { T const x[10];
203//            x[5] = 3.14; // bad
204            }
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