xref: /llvm-project/clang/test/AST/ByteCode/complex.cpp (revision 1d65c35ce16f1bc340649ac8319b34c833e23a1f)
1 // RUN: %clang_cc1 -fexperimental-new-constant-interpreter -verify=both,expected -Wno-unused-value %s
2 // RUN: %clang_cc1 -verify=both,ref -Wno-unused-value %s
3 
4 constexpr _Complex double z1 = {1.0, 2.0};
5 static_assert(__real(z1) == 1.0, "");
6 static_assert(__imag(z1) == 2.0, "");
7 
8 static_assert(&__imag z1 == &__real z1 + 1, "");
9 static_assert((*(&__imag z1)) == __imag z1, "");
10 static_assert((*(&__real z1)) == __real z1, "");
11 
12 
13 static_assert(((1.25 + 0.5j) * (0.25 - 0.75j)) == (0.6875 - 0.8125j), "");
14 static_assert(((1.25 + 0.5j) * 0.25) == (0.3125 + 0.125j), "");
15 static_assert((1.25 * (0.25 - 0.75j)) == (0.3125 - 0.9375j), "");
16 constexpr _Complex float InfC = {1.0, __builtin_inf()};
17 constexpr _Complex float InfInf = __builtin_inf() + InfC;
18 static_assert(__real__(InfInf) == __builtin_inf());
19 static_assert(__imag__(InfInf) == __builtin_inf());
20 static_assert(__builtin_isnan(__real__(InfInf * InfInf)));
21 static_assert(__builtin_isinf_sign(__imag__(InfInf * InfInf)) == 1);
22 
23 static_assert(__builtin_isinf_sign(__real__((__builtin_inf() + 1.0j) * 1.0)) == 1);
24 static_assert(__builtin_isinf_sign(__imag__((1.0 + InfC) * 1.0)) == 1);
25 static_assert(__builtin_isinf_sign(__real__(1.0 * (__builtin_inf() + 1.0j))) == 1);
26 static_assert(__builtin_isinf_sign(__imag__(1.0 * (1.0 + InfC))) == 1);
27 static_assert(__builtin_isinf_sign(__real__((__builtin_inf() + 1.0j) * (1.0 + 1.0j))) == 1);
28 static_assert(__builtin_isinf_sign(__real__((1.0 + 1.0j) * (__builtin_inf() + 1.0j))) == 1);
29 static_assert(__builtin_isinf_sign(__real__((__builtin_inf() + 1.0j) * (__builtin_inf() + 1.0j))) == 1);
30 static_assert(__builtin_isinf_sign(__real__((1.0 + InfC) * (1.0 + 1.0j))) == -1);
31 static_assert(__builtin_isinf_sign(__imag__((1.0 + InfC) * (1.0 + 1.0j))) == 1);
32 static_assert(__builtin_isinf_sign(__real__((1.0 + 1.0j) * (1.0 + InfC))) == -1);
33 static_assert(__builtin_isinf_sign(__imag__((1.0 + 1.0j) * (1.0 + InfC))) == 1);
34 static_assert(__builtin_isinf_sign(__real__((1.0 + InfC) * (1.0 + InfC))) == -1);
35 static_assert(__builtin_isinf_sign(__real__(InfInf * InfInf)) == 0);
36 
37 constexpr _Complex int IIMA = {1,2};
38 constexpr _Complex int IIMB = {10,20};
39 constexpr _Complex int IIMC = IIMA * IIMB;
40 static_assert(__real(IIMC) == -30, "");
41 static_assert(__imag(IIMC) == 40, "");
42 
43 static_assert(1.0j / 0.0 == 1); // both-error {{static assertion}} \
44                                 // both-note {{division by zero}}
45 static_assert(__builtin_isinf_sign(__real__((1.0 + 1.0j) / (0.0 + 0.0j))) == 1);
46 static_assert(__builtin_isinf_sign(__real__((1.0 + 1.0j) / 0.0)) == 1); // both-error {{static assertion}} \
47                                                                         // both-note {{division by zero}}
48 static_assert(__builtin_isinf_sign(__real__((__builtin_inf() + 1.0j) / (0.0 + 0.0j))) == 1);
49 static_assert(__builtin_isinf_sign(__imag__((1.0 + InfC) / (0.0 + 0.0j))) == 1);
50 static_assert(__builtin_isinf_sign(__imag__((InfInf) / (0.0 + 0.0j))) == 1);
51 
52 constexpr _Complex int IIDA = {10,20};
53 constexpr _Complex int IIDB = {1,2};
54 constexpr _Complex int IIDC = IIDA / IIDB;
55 static_assert(__real(IIDC) == 10, "");
56 static_assert(__imag(IIDC) == 0, "");
57 
58 constexpr _Complex int Comma1 = {1, 2};
59 constexpr _Complex int Comma2 = (0, Comma1);
60 static_assert(Comma1 == Comma1, "");
61 
62 constexpr double setter() {
63   _Complex float d = {1.0, 2.0};
64 
65   __imag(d) = 4.0;
66   return __imag(d);
67 }
68 static_assert(setter() == 4, "");
69 
70 constexpr _Complex double getter() {
71   return {1.0, 3.0};
72 }
73 constexpr _Complex double D = getter();
74 static_assert(__real(D) == 1.0, "");
75 static_assert(__imag(D) == 3.0, "");
76 
77 
78 constexpr _Complex int I1 = {1, 2};
79 static_assert(__real(I1) == 1, "");
80 static_assert(__imag(I1) == 2, "");
81 
82 
83 constexpr _Complex double D1 = {};
84 static_assert(__real(D1) == 0, "");
85 static_assert(__imag(D1) == 0, "");
86 
87 constexpr _Complex int I2 = {};
88 static_assert(__real(I2) == 0, "");
89 static_assert(__imag(I2) == 0, "");
90 
91 static_assert(__real(4.0) == 4.0, "");
92 static_assert(__real(12u) == 12u, "");
93 static_assert(__imag(4.0) == 0.0, "");
94 static_assert(__imag(13) == 0, "");
95 
96 
97 constexpr _Complex long L1 = D;
98 static_assert(__real(L1) == 1.0, "");
99 static_assert(__imag(L1) == 3.0, "");
100 
101 constexpr _Complex short I4 = L1;
102 static_assert(__real(I4) == 1, "");
103 static_assert(__imag(I4) == 3, "");
104 
105 constexpr _Complex float D3 = D;
106 static_assert(__real(D3) == 1.0, "");
107 static_assert(__imag(D3) == 3.0, "");
108 
109 
110 constexpr _Complex int a = 2i;
111 static_assert(__real(a) == 0, "");
112 static_assert(__imag(a) == 2, "");
113 
114 constexpr _Complex double b = 4.0i;
115 static_assert(__real(b) == 0, "");
116 static_assert(__imag(b) == 4, "");
117 
118 constexpr int ignored() {
119   I2;
120   (int)I2;
121   (float)I2;
122   D1;
123   (int)D1;
124   (double)D1;
125   (_Complex float)I2;
126   (bool)D1;
127   (bool)I2;
128   return 0;
129 }
130 static_assert(ignored() == 0, "");
131 static_assert((int)I1 == 1, "");
132 static_assert((float)D == 1.0f, "");
133 
134 static_assert(__real((_Complex unsigned)5) == 5);
135 static_assert(__imag((_Complex unsigned)5) == 0);
136 
137 /// Standalone complex expressions.
138 static_assert(__real((_Complex float){1.0, 3.0}) == 1.0, "");
139 
140 
141 constexpr _Complex double D2 = {12};
142 static_assert(__real(D2) == 12, "");
143 static_assert(__imag(D2) == 0, "");
144 
145 constexpr _Complex int I3 = {15};
146 static_assert(__real(I3) == 15, "");
147 static_assert(__imag(I3) == 0, "");
148 
149 constexpr _Complex double Doubles[4] = {{1.0, 2.0}};
150 static_assert(__real(Doubles[0]) == 1.0, "");
151 static_assert(__imag(Doubles[0]) == 2.0, "");
152 static_assert(__real(Doubles[1]) == 0.0, "");
153 static_assert(__imag(Doubles[1]) == 0.0, "");
154 static_assert(__real(Doubles[2]) == 0.0, "");
155 static_assert(__imag(Doubles[2]) == 0.0, "");
156 static_assert(__real(Doubles[3]) == 0.0, "");
157 static_assert(__imag(Doubles[3]) == 0.0, "");
158 
159 static_assert(~(0.5 + 1.5j) == (0.5 + -1.5j), "");
160 
161 void func(void) {
162   __complex__ int arr;
163   _Complex int result;
164   int ii = 0;
165   int bb = 0;
166   /// The following line will call into the constant interpreter.
167   result = arr * ii;
168 }
169 
170 constexpr _Complex float getComplexFloat() {
171   return {1,2};
172 }
173 static_assert(__real(getComplexFloat()) == 1, "");
174 static_assert(__imag(getComplexFloat()) == 2, "");
175 
176 constexpr auto GH55390 = 1 / 65536j; // both-note {{division by zero}} \
177                                      // both-error {{constexpr variable 'GH55390' must be initialized by a constant expression}}
178 
179 namespace CastToBool {
180   constexpr _Complex int F = {0, 1};
181   static_assert(F, "");
182   constexpr _Complex int F2 = {1, 0};
183   static_assert(F2, "");
184   constexpr _Complex int F3 = {0, 0};
185   static_assert(!F3, "");
186 
187   constexpr _Complex unsigned char F4 = {0, 1};
188   static_assert(F4, "");
189   constexpr _Complex unsigned char F5 = {1, 0};
190   static_assert(F5, "");
191   constexpr _Complex unsigned char F6 = {0, 0};
192   static_assert(!F6, "");
193 
194   constexpr _Complex float F7 = {0, 1};
195   static_assert(F7, "");
196   constexpr _Complex float F8 = {1, 0};
197   static_assert(F8, "");
198   constexpr _Complex double F9 = {0, 0};
199   static_assert(!F9, "");
200 }
201 
202 namespace BinOps {
203 namespace Add {
204   constexpr _Complex float A = { 13.0, 2.0 };
205   constexpr _Complex float B = { 2.0, 1.0  };
206   constexpr _Complex float C = A + B;
207   static_assert(__real(C) == 15.0, "");
208   static_assert(__imag(C) == 3.0, "");
209 
210   constexpr _Complex float D = B + A;
211   static_assert(__real(D) == 15.0, "");
212   static_assert(__imag(D) == 3.0, "");
213 
214   constexpr _Complex unsigned int I1 = { 5,  10 };
215   constexpr _Complex unsigned int I2 = { 40, 2  };
216   constexpr _Complex unsigned int I3 = I1 + I2;
217   static_assert(__real(I3) == 45, "");
218   static_assert(__imag(I3) == 12, "");
219 
220   static_assert(__real(A + 2.0) == 15, "");
221   static_assert(__imag(A + 2.0) == 2, "");
222   static_assert(__real(2.0 + A) == 15, "");
223   static_assert(__imag(2.0 + A) == 2, "");
224 
225   static_assert(__real(D + 1) == 16, "");
226   static_assert(__real(D + 1.0) == 16, "");
227   constexpr _Complex double D2 = D + 3.0;
228   static_assert(__real(D2) == 18.0, "");
229   static_assert(__imag(D2) == 3.0, "");
230   constexpr _Complex double D3 = 3.0 + D;
231   static_assert(__real(D3) == 18.0, "");
232   static_assert(__imag(D3) == 3.0, "");
233 }
234 
235 namespace Sub {
236   constexpr _Complex float A = { 13.0, 2.0 };
237   constexpr _Complex float B = { 2.0, 1.0  };
238   constexpr _Complex float C = A - B;
239   static_assert(__real(C) == 11.0, "");
240   static_assert(__imag(C) == 1.0, "");
241   static_assert(__real(A - 2.0) == 11, "");
242   static_assert(__real(2.0 - A) == -11, "");
243 
244   constexpr _Complex float D = B - A;
245   static_assert(__real(D) == -11.0, "");
246   static_assert(__imag(D) == -1.0, "");
247 
248   constexpr _Complex unsigned int I1 = { 5,  10 };
249   constexpr _Complex unsigned int I2 = { 40, 2  };
250   constexpr _Complex unsigned int I3 = I1 - I2;
251   static_assert(__real(I3) == -35, "");
252   static_assert(__imag(I3) == 8, "");
253 
254   using Bobble = _Complex float;
255   constexpr _Complex float A_ = { 13.0, 2.0 };
256   constexpr Bobble B_ = { 2.0, 1.0  };
257   constexpr _Complex float D_ = A_ - B_;
258   static_assert(__real(D_) == 11.0, "");
259   static_assert(__imag(D_) == 1.0, "");
260 
261   static_assert(__real(D - 1) == -12, "");
262   static_assert(__real(D - 1.0) == -12, "");
263   constexpr _Complex double D2 = D - 3.0;
264   static_assert(__real(D2) == -14.0, "");
265   static_assert(__imag(D2) == -1.0, "");
266   constexpr _Complex double D3 = 3.0 - D;
267   static_assert(__real(D3) == 14.0, "");
268   static_assert(__imag(D3) == 1.0, "");
269 }
270 
271 }
272 
273 namespace ZeroInit {
274   typedef _Complex float fcomplex;
275   typedef _Complex unsigned icomplex;
276 
277   constexpr fcomplex test7 = fcomplex();
278   static_assert(__real(test7) == 0.0f, "");
279   static_assert(__imag(test7) == 0.0f, "");
280 
281   constexpr icomplex test8 = icomplex();
282   static_assert(__real(test8) == 0, "");
283   static_assert(__imag(test8) == 0, "");
284 
285   constexpr int ignored = (fcomplex(), 0);
286 }
287 
288 namespace DeclRefCopy {
289   constexpr _Complex int ComplexInt = 42 + 24i;
290 
291   constexpr _Complex int B = ComplexInt;
292   constexpr _Complex int ArrayOfComplexInt[4] = {ComplexInt, ComplexInt, ComplexInt, ComplexInt};
293   static_assert(__real(ArrayOfComplexInt[0]) == 42, "");
294   static_assert(__imag(ArrayOfComplexInt[0]) == 24, "");
295   static_assert(__real(ArrayOfComplexInt[3]) == 42, "");
296   static_assert(__imag(ArrayOfComplexInt[3]) == 24, "");
297 
298   constexpr int localComplexArray() {
299     _Complex int A = 42 + 24i;
300     _Complex int ArrayOfComplexInt[4] = {A, A, A, A};
301     return __real(ArrayOfComplexInt[0]) + __imag(ArrayOfComplexInt[3]);
302   }
303   static_assert(localComplexArray() == (24 + 42), "");
304 }
305 
306 namespace Builtin {
307   constexpr _Complex float A = __builtin_complex(10.0f, 20.0f);
308   static_assert(__real(A) == 10, "");
309   static_assert(__imag(A) == 20, "");
310 
311   constexpr _Complex double B = __builtin_complex(10.0, 20.0);
312   static_assert(__real(B) == 10, "");
313   static_assert(__imag(B) == 20, "");
314 
315 
316   constexpr _Complex float C = __builtin_complex(10.0f, 20.0); // both-error {{arguments are of different types}}
317 }
318 
319 namespace Cmp {
320   static_assert((0.0 + 0.0j) == (0.0 + 0.0j));
321   static_assert((0.0 + 0.0j) != (0.0 + 0.0j)); // both-error {{static assertion}} \
322                                                // both-note {{evaluates to}}
323 
324   static_assert((0.0 + 0.0j) == 0.0);
325   static_assert(0.0 == (0.0 + 0.0j));
326   static_assert(0.0 == 0.0j);
327   static_assert((0.0 + 1.0j) != 0.0);
328   static_assert(1.0 != (0.0 + 0.0j));
329   static_assert(0.0 != 1.0j);
330 
331   // Walk around the complex plane stepping between angular differences and
332   // equality.
333   static_assert((1.0 + 0.0j) == (0.0 + 0.0j)); // both-error {{static assertion}} \
334                                                // both-note {{evaluates to}}
335   static_assert((1.0 + 0.0j) == (1.0 + 0.0j));
336   static_assert((1.0 + 1.0j) == (1.0 + 0.0j)); // both-error {{static assertion}} \
337                                                // both-note {{evaluates to}}
338   static_assert((1.0 + 1.0j) == (1.0 + 1.0j));
339   static_assert((0.0 + 1.0j) == (1.0 + 1.0j)); // both-error {{static assertion}} \
340                                                // both-note {{evaluates to}}
341   static_assert((0.0 + 1.0j) == (0.0 + 1.0j));
342   static_assert((-1.0 + 1.0j) == (0.0 + 1.0j)); // both-error {{static assertion}} \
343                                                 // both-note {{evaluates to}}
344   static_assert((-1.0 + 1.0j) == (-1.0 + 1.0j));
345   static_assert((-1.0 + 0.0j) == (-1.0 + 1.0j)); // both-error {{static assertion}} \
346                                                  // both-note {{evaluates to}}
347   static_assert((-1.0 + 0.0j) == (-1.0 + 0.0j));
348   static_assert((-1.0 - 1.0j) == (-1.0 + 0.0j)); // both-error {{static assertion}} \
349                                                  // both-note {{evaluates to}}
350   static_assert((-1.0 - 1.0j) == (-1.0 - 1.0j));
351   static_assert((0.0 - 1.0j) == (-1.0 - 1.0j)); // both-error {{static assertion}} \
352                                                 // both-note {{evaluates to}}
353   static_assert((0.0 - 1.0j) == (0.0 - 1.0j));
354   static_assert((1.0 - 1.0j) == (0.0 - 1.0j)); // both-error {{static assertion}} \
355                                                // both-note {{evaluates to}}
356   static_assert((1.0 - 1.0j) == (1.0 - 1.0j));
357 
358   /// Make sure these are rejected before reaching the constexpr interpreter.
359   static_assert((0.0 + 0.0j) & (0.0 + 0.0j)); // both-error {{invalid operands to binary expression}}
360   static_assert((0.0 + 0.0j) | (0.0 + 0.0j)); // both-error {{invalid operands to binary expression}}
361   static_assert((0.0 + 0.0j) < (0.0 + 0.0j)); // both-error {{invalid operands to binary expression}}
362   static_assert((0.0 + 0.0j) > (0.0 + 0.0j)); // both-error {{invalid operands to binary expression}}
363   static_assert((0.0 + 0.0j) ^ (0.0 + 0.0j)); // both-error {{invalid operands to binary expression}}
364 }
365 
366 /// From test/SemaCXX/constant-expression-cxx11.cpp
367 ///
368 /// Some of the diagnostics we emit are different than the one of the
369 /// current interpreter.
370 ///
371 /// FIXME: For the '&test3 + 1' test, we are _not_ creating an explicit pointer variable
372 /// anywhere and so the &test3+1 is the same as __imag(test3) for us.
373 namespace ComplexConstexpr {
374   constexpr _Complex float test1 = {};
375   constexpr _Complex float test2 = {1};
376   constexpr _Complex double test3 = {1,2};
377   constexpr _Complex int test4 = {4};
378   constexpr _Complex int test5 = 4;
379   constexpr _Complex int test6 = {5,6};
380   typedef _Complex float fcomplex;
381   constexpr fcomplex test7 = fcomplex();
382 
383   constexpr const double &t2r = __real test3;
384   constexpr const double &t2i = __imag test3;
385   static_assert(&t2r + 1 == &t2i, "");
386   static_assert(t2r == 1.0, "");
387   static_assert(t2i == 2.0, "");
388   constexpr const double *t2p = &t2r;
389   static_assert(t2p[-1] == 0.0, ""); // both-error {{constant expr}} \
390                                      // both-note {{cannot refer to element -1 of array of 2 elements}}
391   static_assert(t2p[0] == 1.0, "");
392   static_assert(t2p[1] == 2.0, "");
393   static_assert(t2p[2] == 0.0, ""); // both-error {{constant expr}} \
394                                     // both-note {{one-past-the-end pointer}}
395   static_assert(t2p[3] == 0.0, ""); // both-error {{constant expr}} \
396                                     // both-note {{cannot refer to element 3 of array of 2 elements}}
397   constexpr _Complex float *p = 0;
398   constexpr float pr = __real *p; // both-error {{constant expr}} \
399                                   // ref-note {{cannot access real component of null}} \
400                                   // expected-note {{read of dereferenced null pointer}}
401   constexpr float pi = __imag *p; // both-error {{constant expr}} \
402                                   // ref-note {{cannot access imaginary component of null}}
403   constexpr const _Complex double *q = &test3 + 1;
404   constexpr double qr = __real *q; // ref-error {{constant expr}} \
405                                    // ref-note {{cannot access real component of pointer past the end}}
406   constexpr double qi = __imag *q; // both-error {{constant expr}} \
407                                    // ref-note {{cannot access imaginary component of pointer past the end}} \
408                                    // expected-note {{read of dereferenced one-past-the-end pointer}}
409 
410   static_assert(__real test6 == 5, "");
411   static_assert(__imag test6 == 6, "");
412   static_assert(&__imag test6 == &__real test6 + 1, "");
413 }
414