gcc/testsuite/gcc.dg/torture/builtin-explog-1.c

   1 /* Copyright (C) 2003, 2004  Free Software Foundation.
   2
   3    Verify that built-in math function constant folding of log & exp is
   4    correctly performed by the compiler.
   5
   6    Written by Kaveh Ghazi, 2003-09-05.  */
   7
   8 /* { dg-do link } */
   9 /* { dg-options "-ffast-math" } */
  10
  11 /* Define "e" with as many bits as found in builtins.c:dconste.  */
  12 #define M_E  2.7182818284590452353602874713526624977572470936999595749669676277241
  13 #define M_EF 2.7182818284590452353602874713526624977572470936999595749669676277241F
  14 #define M_EL 2.7182818284590452353602874713526624977572470936999595749669676277241L
  15 /* Precision for comparison tests.  */
  16 #define PREC  (sizeof (float) < sizeof (double) ? 0.0000001 : PRECF)
  17 #define PRECF 0.0001F
  18 #define PRECL (sizeof (float) < sizeof (long double)    \
  19                ? 0.0000000000001L : PRECF)
  20 #define PROTOTYPE(FN) extern double FN(double); extern float FN##f(float); \
  21   extern long double FN##l(long double);
  22 #define PROTOTYPE2(FN) extern double FN(double, double); \
  23   extern float FN##f(float, float); \
  24   extern long double FN##l(long double, long double);
  25
  26 PROTOTYPE(exp)
  27 PROTOTYPE(exp2)
  28 PROTOTYPE(exp10)
  29 PROTOTYPE(log)
  30 PROTOTYPE(log2)
  31 PROTOTYPE(log10)
  32 PROTOTYPE(pow10)
  33 PROTOTYPE(sqrt)
  34 PROTOTYPE(cbrt)
  35 PROTOTYPE2(pow)
  36
  37 void test(double d1, double d2, float f1, float f2,
  38           long double ld1, long double ld2)
  39 {
  40   /* Test logN(1) -> 0.  */
  41 #define LOG_1(LOG) \
  42  extern void link_failure_##LOG##_1(void); \
  43  if (LOG(1.0) != 0.0 || LOG##f(1.0F) != 0.0F || LOG##l(1.0L) != 0.0L) \
  44     link_failure_##LOG##_1()
  45
  46   LOG_1(log);
  47   LOG_1(log2);
  48   LOG_1(log10);
  49
  50   /* Test logN(N) -> 1.  */
  51 #define LOG_N(LOG, BASE) \
  52  extern void link_failure_##LOG##_N(void); \
  53  if (LOG(BASE) != 1.0 || LOG##f(BASE##F) != 1.0F || LOG##l(BASE##L) != 1.0L) \
  54     link_failure_##LOG##_N()
  55
  56   LOG_N(log2, 2.0);
  57   LOG_N(log10, 10.0);
  58
  59   /* Test logN(expN(x)) -> x.  */
  60 #define LOGEXP_SAME(LOG, EXP) \
  61  extern void link_failure_##LOG##_##EXP##_same(void); \
  62  if (LOG(EXP(d1)) != d1 || LOG##f(EXP##f(f1)) != f1 \
  63   || LOG##l(EXP##l(ld1)) != ld1) link_failure_##LOG##_##EXP##_same()
  64
  65   LOGEXP_SAME(log,exp);
  66   LOGEXP_SAME(log2,exp2);
  67   LOGEXP_SAME(log10,exp10);
  68   LOGEXP_SAME(log10,pow10);
  69
  70   /* Test logN(expM(x)) -> x*logN(M).  */
  71 #define LOGEXP(LOG, EXP, BASE) \
  72  extern void link_failure_##LOG##_##EXP(void); \
  73  if (LOG(EXP(d1)) != d1*LOG(BASE) || LOG##f(EXP##f(f1)) != f1*LOG##f(BASE##F) \
  74   || LOG##l(EXP##l(ld1)) != ld1*LOG##l(BASE##L)) link_failure_##LOG##_##EXP()
  75
  76   LOGEXP(log,exp2,2.0);
  77   LOGEXP(log,exp10,10.0);
  78   LOGEXP(log,pow10,10.0);
  79   LOGEXP(log2,exp,M_E);
  80   LOGEXP(log2,exp2,2.0);
  81   LOGEXP(log2,exp10,10.0);
  82   LOGEXP(log2,pow10,10.0);
  83   LOGEXP(log10,exp,M_E);
  84   LOGEXP(log10,exp2,2.0);
  85   LOGEXP(log10,exp10,10.0);
  86   LOGEXP(log10,pow10,10.0);
  87
  88   /* Test logN(sqrt(x)) -> 0.5*logN(x).  */
  89 #define LOG_SQRT(LOG) \
  90  extern void link_failure_##LOG##_sqrt(void); \
  91  if (LOG(sqrt(d1)) != 0.5*LOG(d1) || LOG##f(sqrtf(f1)) != 0.5F*LOG##f(f1) \
  92   || LOG##l(sqrtl(ld1)) != 0.5L*LOG##l(ld1)) link_failure_##LOG##_sqrt()
  93
  94   LOG_SQRT(log);
  95   LOG_SQRT(log2);
  96   LOG_SQRT(log10);
  97
  98   /* Test sqrt(expN(x)) -> expN(x*0.5).  */
  99 #define SQRT_EXP(EXP) \
 100  extern void link_failure_sqrt_##EXP(void); \
 101  if (sqrt(EXP(d1)) != EXP(d1*0.5) || sqrtf(EXP##f(f1)) != EXP##f(f1*0.5F) \
 102   || sqrtl(EXP##l(ld1)) != EXP##l(ld1*0.5L)) link_failure_sqrt_##EXP()
 103
 104   SQRT_EXP(exp);
 105   SQRT_EXP(exp2);
 106   SQRT_EXP(exp10);
 107   SQRT_EXP(pow10);
 108
 109   /* Test logN(cbrt(x)) -> (1/3)*logN(x).  */
 110 #define LOG_CBRT(LOG) \
 111  extern void link_failure_##LOG##_cbrt(void); \
 112  if (LOG(cbrt(d1)) != (1.0/3)*LOG(d1) \
 113   || LOG##f(cbrtf(f1)) != (1.0F/3)*LOG##f(f1) \
 114   || LOG##l(cbrtl(ld1)) != (1.0L/3)*LOG##l(ld1)) link_failure_##LOG##_cbrt()
 115
 116   LOG_CBRT(log);
 117   LOG_CBRT(log2);
 118   LOG_CBRT(log10);
 119
 120   /* Test cbrt(expN(x)) -> expN(x/3).  */
 121 #define CBRT_EXP(EXP) \
 122  extern void link_failure_cbrt_##EXP(void); \
 123  if (cbrt(EXP(d1)) != EXP(d1/3.0) || cbrtf(EXP##f(f1)) != EXP##f(f1/3.0F) \
 124   || cbrtl(EXP##l(ld1)) != EXP##l(ld1/3.0L)) link_failure_cbrt_##EXP()
 125
 126   CBRT_EXP(exp);
 127   CBRT_EXP(exp2);
 128   CBRT_EXP(exp10);
 129   CBRT_EXP(pow10);
 130
 131   /* Test logN(pow(x,y)) -> y*logN(x).  */
 132 #define LOG_POW(LOG, POW) \
 133  extern void link_failure_##LOG##_##POW(void); \
 134  if (LOG(POW(d1,d2)) != d2*LOG(d1) || LOG##f(POW##f(f1,f2)) != f2*LOG##f(f1) \
 135   || LOG##l(POW##l(ld1,ld2)) != ld2*LOG##l(ld1)) link_failure_##LOG##_##POW()
 136
 137   LOG_POW(log,pow);
 138   LOG_POW(log2,pow);
 139   LOG_POW(log10,pow);
 140
 141   /* Test pow(expN(x),y)) -> expN(x*y).  */
 142 #define POW_EXP(POW, EXP) \
 143  extern void link_failure_##POW##_##EXP(void); \
 144  if (POW(EXP(d1),d2) != EXP(d1*d2) || POW##f(EXP##f(f1),f2) != EXP##f(f1*f2) \
 145   || POW##l(EXP##l(ld1),ld2) != EXP##l(ld1*ld2)) link_failure_##POW##_##EXP()
 146
 147   POW_EXP(pow, exp);
 148   POW_EXP(pow, exp2);
 149   POW_EXP(pow, exp10);
 150   POW_EXP(pow, pow10);
 151
 152   /* Test expN(0) -> 1.  */
 153 #define EXP_0(EXP) \
 154  extern void link_failure_##EXP##_0(void); \
 155  if (EXP(0.0) != 1.0 || EXP##f(0.0F) != 1.0F || EXP##l(0.0L) != 1.0L) \
 156   link_failure_##EXP##_0()
 157
 158   EXP_0(exp);
 159   EXP_0(exp2);
 160   EXP_0(exp10);
 161   EXP_0(pow10);
 162
 163   /* Test expN(1) -> N.  */
 164 #define EXP_N(EXP, BASE) \
 165  extern void link_failure_##EXP##_N(void); \
 166  if (EXP(1.0) != BASE || EXP##f(1.0F) != BASE##F || EXP##l(1.0L) != BASE##L) \
 167   link_failure_##EXP##_N()
 168
 169   EXP_N(exp, M_E);
 170   EXP_N(exp2, 2.0);
 171   EXP_N(exp10, 10.0);
 172   EXP_N(pow10, 10.0);
 173
 174   /* Test expN(integer) -> N*N*N*...  */
 175 #define EXP_INT(EXP, BASE) \
 176  extern void link_failure_##EXP##_INT(void); \
 177  if (EXP(5.0) < (BASE)*(BASE)*(BASE)*(BASE)*(BASE) - PREC \
 178   || EXP(5.0) > (BASE)*(BASE)*(BASE)*(BASE)*(BASE) + PREC \
 179   || EXP##f(5.0F) < (BASE##F)*(BASE##F)*(BASE##F)*(BASE##F)*(BASE##F) -PRECF \
 180   || EXP##f(5.0F) > (BASE##F)*(BASE##F)*(BASE##F)*(BASE##F)*(BASE##F) +PRECF \
 181   || EXP##l(5.0L) < (BASE##L)*(BASE##L)*(BASE##L)*(BASE##L)*(BASE##L) -PRECL \
 182   || EXP##l(5.0L) > (BASE##L)*(BASE##L)*(BASE##L)*(BASE##L)*(BASE##L) +PRECL) \
 183    link_failure_##EXP##_INT()
 184
 185   EXP_INT(exp, M_E);
 186   EXP_INT(exp2, 2.0);
 187   EXP_INT(exp10, 10.0);
 188   EXP_INT(pow10, 10.0);
 189
 190   /* Test expN(logN(x)) -> x.  */
 191 #define EXPLOG_SAME(EXP, LOG) \
 192  extern void link_failure_##EXP##_##LOG##_same(void); \
 193  if (EXP(LOG(d1)) != d1 || EXP##f(LOG##f(f1)) != f1 \
 194   || EXP##l(LOG##l(ld1)) != ld1) link_failure_##EXP##_##LOG##_same()
 195
 196   EXPLOG_SAME(exp, log);
 197   EXPLOG_SAME(exp2, log2);
 198   EXPLOG_SAME(exp10, log10);
 199   EXPLOG_SAME(pow10, log10);
 200
 201   /* Test expN(x)*expN(y)) -> expN(x+y).  */
 202 #define EXPXEXP(EXP) \
 203  extern void link_failure_##EXP##X##EXP(void); \
 204  if (EXP(d1)*EXP(d2) != EXP(d1+d2) || EXP##f(f1)*EXP##f(f2) != EXP##f(f1+f2) \
 205   || EXP##l(ld1)*EXP##l(ld2) != EXP##l(ld1+ld2)) link_failure_##EXP##X##EXP()
 206
 207   EXPXEXP(exp);
 208   EXPXEXP(exp2);
 209   EXPXEXP(exp10);
 210   EXPXEXP(pow10);
 211
 212   /* Test x/expN(y) -> x*expN(-y).  */
 213   /* Test expN(x)/expN(y) -> expN(x-y).  */
 214 #define DIVEXP(EXP) \
 215  extern void link_failure_div1_##EXP(void); \
 216  if (d1/EXP(d2) != d1*EXP(-d2) || f1/EXP##f(f2) != f1*EXP##f(-f2) \
 217   || ld1/EXP##l(ld2) != ld1*EXP##l(-ld2)) link_failure_div1_##EXP(); \
 218  extern void link_failure_div2_##EXP(void); \
 219  if (EXP(d1)/EXP(d2) != EXP(d1-d2) || EXP##f(f1)/EXP##f(f2) != EXP##f(f1-f2) \
 220   || EXP##l(ld1)/EXP##l(ld2) != EXP##l(ld1-ld2)) link_failure_div2_##EXP()
 221
 222   DIVEXP(exp);
 223   DIVEXP(exp2);
 224   DIVEXP(exp10);
 225   DIVEXP(pow10);
 226 }
 227
 228 int main (void)
 229 {
 230   return 0;
 231 }