gcc/testsuite/gcc.dg/builtins-20.c

/* Copyright (C) 2003  Free Software Foundation.

   Verify that built-in math function constant folding doesn't break
   anything and produces the expected results.

   Written by Roger Sayle, 8th June 2003.  */

/* { dg-do link } */
/* { dg-options "-O2 -ffast-math" } */

#include "builtins-config.h"

extern double cos (double);
extern double sin (double);
extern double tan (double);
extern double fabs (double);
extern double atan2 (double, double);
extern double copysign (double, double);
extern double fmin (double, double);
extern double fmax (double, double);
extern double hypot (double, double);
extern double pure (double) __attribute__ ((__pure__));
extern double carg (__complex__ double);
extern __complex__ double ccos (__complex__ double);
extern __complex__ double ctan (__complex__ double);
extern float cosf (float);
extern float sinf (float);
extern float tanf (float);
extern float fabsf (float);
extern float atan2f (float, float);
extern float copysignf (float, float);
extern float fminf (float, float);
extern float fmaxf (float, float);
extern float hypotf (float, float);
extern float puref (float) __attribute__ ((__pure__));
extern float cargf (__complex__ float);
extern __complex__ float ccosf (__complex__ float);
extern __complex__ float ctanf (__complex__ float);
extern long double cosl (long double);
extern long double sinl (long double);
extern long double tanl (long double);
extern long double fabsl (long double);
extern long double atan2l (long double, long double);
extern long double copysignl (long double, long double);
extern long double fminl (long double, long double);
extern long double fmaxl (long double, long double);
extern long double hypotl (long double, long double);
extern long double purel (long double) __attribute__ ((__pure__));
extern long double cargl (__complex__ long double);
extern __complex__ long double ccosl (__complex__ long double);
extern __complex__ long double ctanl (__complex__ long double);

extern void link_error(void);

void test1(double x)
{
  if (cos(x) != cos(-x))
    link_error ();

  if (cos(x) != cos(fabs(x)))
    link_error ();

  if (cos(x) != cos(-fabs(x)))
    link_error ();

  if (cos(tan(x)) != cos(tan(-fabs(x))))
    link_error ();

  if (sin(x)/cos(x) != tan(x))
    link_error ();

  if (cos(x)/sin(x) != 1.0/tan(x))
    link_error ();

  if (tan(x)*cos(x) != sin(x))
    link_error ();

  if (cos(x)*tan(x) != sin(x))
    link_error ();

  if (sin(x)/tan(x) != cos(x))
    link_error ();

  if (tan(x)/sin(x) != 1.0/cos(x))
    link_error ();
}

void test2(double x, double y)
{
  if (-tan(x-y) != tan(y-x))
    link_error ();

  if (-sin(x-y) != sin(y-x))
    link_error ();

  if (cos(-x*y) != cos(x*y))
    link_error ();

  if (cos(x*-y) != cos(x*y))
    link_error ();

  if (cos(-x/y) != cos(x/y))
    link_error ();

  if (cos(x/-y) != cos(x/y))
    link_error ();

  if (cos(-fabs(tan(x/-y))) != cos(tan(x/y)))
    link_error ();

  if (cos(y<10 ? -x : y) != cos(y<10 ? x : y))
    link_error ();

  if (cos(y<10 ? x : -y) != cos(y<10 ? x : y))
    link_error ();

  if (cos(y<10 ? -fabs(x) : tan(x<20 ? -x : -fabs(y)))
      != cos(y<10 ? x : tan(x<20 ? x : y)))
    link_error ();

  if (cos((y*=3, -x)) != cos((y*=3,x)))
    link_error ();

  if (cos(-fabs(tan(x/-y))) != cos(tan(x/y)))
    link_error ();

  if (cos(copysign(x,y)) != cos(x))
    link_error ();

  if (cos(copysign(-fabs(x),y*=2)) != cos((y*=2,x)))
    link_error ();

  if (hypot (x, 0) != fabs(x))
    link_error ();

  if (hypot (0, x) != fabs(x))
    link_error ();

  if (hypot (x, x) != fabs(x) * __builtin_sqrt(2))
    link_error ();

  if (hypot (-x, y) != hypot (x, y))
    link_error ();

  if (hypot (x, -y) != hypot (x, y))
    link_error ();

  if (hypot (-x, -y) != hypot (x, y))
    link_error ();

  if (hypot (fabs(x), y) != hypot (x, y))
    link_error ();

  if (hypot (x, fabs(y)) != hypot (x, y))
    link_error ();

  if (hypot (fabs(x), fabs(y)) != hypot (x, y))
    link_error ();

  if (hypot (-fabs(-x), -fabs(fabs(fabs(-y)))) != hypot (x, y))
    link_error ();

  if (hypot (-x, 0) != fabs(x))
    link_error ();

  if (hypot (-x, x) != fabs(x) * __builtin_sqrt(2))
    link_error ();

  if (hypot (pure(x), -pure(x)) != fabs(pure(x)) * __builtin_sqrt(2))
    link_error ();

  if (hypot (tan(-x), tan(-fabs(y))) != hypot (tan(x), tan(y)))
    link_error ();

  if (fmin (fmax(x,y),y) != y)
    link_error ();

  if (fmin (fmax(y,x),y) != y)
    link_error ();

  if (fmin (x,fmax(x,y)) != x)
    link_error ();
  
  if (fmin (x,fmax(y,x)) != x)
    link_error ();
  
  if (fmax (fmin(x,y),y) != y)
    link_error ();

  if (fmax (fmin(y,x),y) != y)
    link_error ();

  if (fmax (x,fmin(x,y)) != x)
    link_error ();
  
  if (fmax (x,fmin(y,x)) != x)
    link_error ();

  if ((__complex__ double) x != -(__complex__ double) (-x))
    link_error ();

  if (x*1i != -(-x*1i))
    link_error ();

  if (x+(x-y)*1i != -(-x+(y-x)*1i))
    link_error ();

  if (x+(x-y)*1i != -(-x-(x-y)*1i))
    link_error ();

  if (ccos(tan(x)+sin(y)*1i) != ccos(-tan(-x)+-sin(-y)*1i))
    link_error ();

  if (ccos(tan(x)+sin(x-y)*1i) != ccos(-tan(-x)-sin(y-x)*1i))
    link_error ();

  if (-5+x*1i != -~(5+x*1i))
    link_error ();

  if (tan(x)+tan(y)*1i != -~(tan(-x)+tan(y)*1i))
    link_error ();
}

void test3(__complex__ double x, __complex__ double y, int i)
{
  if (carg(x) != atan2(__imag__ x, __real__ x))
    link_error ();

  if (ccos(x) != ccos(-x))
    link_error();

  if (ccos(ctan(x)) != ccos(ctan(-x)))
    link_error();

  if (ctan(x-y) != -ctan(y-x))
    link_error();

  if (ccos(x/y) != ccos(-x/y))
    link_error();

  if (ccos(x/y) != ccos(x/-y))
    link_error();

  if (ccos(x/ctan(y)) != ccos(-x/ctan(-y)))
    link_error();

  if (ccos(x*y) != ccos(-x*y))
    link_error();

  if (ccos(x*y) != ccos(x*-y))
    link_error();

  if (ccos(ctan(x)*y) != ccos(ctan(-x)*-y))
    link_error();

  if (ccos(ctan(x/y)) != ccos(-ctan(x/-y)))
    link_error();

  if (ccos(i ? x : y) != ccos(i ? -x : y))
    link_error();

  if (ccos(i ? x : y) != ccos(i ? x : -y))
    link_error();

  if (ccos(i ? x : ctan(y/x)) != ccos(i ? -x : -ctan(-y/x)))
    link_error();

  if (~x != -~-x)
    link_error();

  if (ccos(~x) != ccos(-~-x))
    link_error();

  if (ctan(~(x-y)) != -ctan(~(y-x)))
    link_error();

  if (ctan(~(x/y)) != -ctan(~(x/-y)))
    link_error();
}

void test1f(float x)
{
  if (cosf(x) != cosf(-x))
    link_error ();

  if (cosf(x) != cosf(fabsf(x)))
    link_error ();

  if (cosf(x) != cosf(-fabsf(x)))
    link_error ();

  if (cosf(tanf(x)) != cosf(tanf(-fabsf(x))))
    link_error ();

#ifdef HAVE_C99_RUNTIME
  if (sinf(x)/cosf(x) != tanf(x))
    link_error ();

  if (cosf(x)/sinf(x) != 1.0f/tanf(x))
    link_error ();

  if (tanf(x)*cosf(x) != sinf(x))
    link_error ();

  if (cosf(x)*tanf(x) != sinf(x))
    link_error ();

  if (sinf(x)/tanf(x) != cosf(x))
    link_error ();

  if (tanf(x)/sinf(x) != 1.0f/cosf(x))
    link_error ();
#endif
}

void test2f(float x, float y)
{
  if (-tanf(x-y) != tanf(y-x))
    link_error ();

  if (-sinf(x-y) != sinf(y-x))
    link_error ();

  if (cosf(-x*y) != cosf(x*y))
    link_error ();

  if (cosf(x*-y) != cosf(x*y))
    link_error ();

  if (cosf(-x/y) != cosf(x/y))
    link_error ();

  if (cosf(x/-y) != cosf(x/y))
    link_error ();

  if (cosf(-fabsf(tanf(x/-y))) != cosf(tanf(x/y)))
    link_error ();

  if (cosf(y<10 ? -x : y) != cosf(y<10 ? x : y))
    link_error ();

  if (cosf(y<10 ? x : -y) != cosf(y<10 ? x : y))
    link_error ();

  if (cosf(y<10 ? -fabsf(x) : tanf(x<20 ? -x : -fabsf(y)))
      != cosf(y<10 ? x : tanf(x<20 ? x : y)))
    link_error ();

  if (cosf((y*=3, -x)) != cosf((y*=3,x)))
    link_error ();

  if (cosf(-fabsf(tanf(x/-y))) != cosf(tanf(x/y)))
    link_error ();

  if (cosf(copysignf(x,y)) != cosf(x))
    link_error ();

  if (cosf(copysignf(-fabsf(x),y*=2)) != cosf((y*=2,x)))
    link_error ();

  if (hypotf (x, 0) != fabsf(x))
    link_error ();

  if (hypotf (0, x) != fabsf(x))
    link_error ();

  if (hypotf (x, x) != fabsf(x) * __builtin_sqrtf(2))
    link_error ();

  if (hypotf (-x, y) != hypotf (x, y))
    link_error ();

  if (hypotf (x, -y) != hypotf (x, y))
    link_error ();

  if (hypotf (-x, -y) != hypotf (x, y))
    link_error ();

  if (hypotf (fabsf(x), y) != hypotf (x, y))
    link_error ();

  if (hypotf (x, fabsf(y)) != hypotf (x, y))
    link_error ();

  if (hypotf (fabsf(x), fabsf(y)) != hypotf (x, y))
    link_error ();

  if (hypotf (-fabsf(-x), -fabsf(fabsf(fabsf(-y)))) != hypotf (x, y))
    link_error ();

  if (hypotf (-x, 0) != fabsf(x))
    link_error ();

  if (hypotf (-x, x) != fabsf(x) * __builtin_sqrtf(2))
    link_error ();

  if (hypotf (puref(x), -puref(x)) != fabsf(puref(x)) * __builtin_sqrtf(2))
    link_error ();

  if (hypotf (tanf(-x), tanf(-fabsf(y))) != hypotf (tanf(x), tanf(y)))
    link_error ();

  if (fminf (fmaxf(x,y),y) != y)
    link_error ();

  if (fminf (fmaxf(y,x),y) != y)
    link_error ();

  if (fminf (x,fmaxf(x,y)) != x)
    link_error ();
  
  if (fminf (x,fmaxf(y,x)) != x)
    link_error ();
  
  if (fmaxf (fminf(x,y),y) != y)
    link_error ();

  if (fmaxf (fminf(y,x),y) != y)
    link_error ();

  if (fmaxf (x,fminf(x,y)) != x)
    link_error ();
  
  if (fmaxf (x,fminf(y,x)) != x)
    link_error ();

  if ((__complex__ float) x != -(__complex__ float) (-x))
    link_error ();

  if (x+(x-y)*1i != -(-x+(y-x)*1i))
    link_error ();

  if (x+(x-y)*1i != -(-x-(x-y)*1i))
    link_error ();

  if (ccosf(tanf(x)+sinf(y)*1i) != ccosf(-tanf(-x)+-sinf(-y)*1i))
    link_error ();

  if (ccosf(tanf(x)+sinf(x-y)*1i) != ccosf(-tanf(-x)-sinf(y-x)*1i))
    link_error ();

  if (-5+x*1i != -~(5+x*1i))
    link_error ();

  if (tanf(x)+tanf(y)*1i != -~(tanf(-x)+tanf(y)*1i))
    link_error ();
}

void test3f(__complex__ float x, __complex__ float y, int i)
{
  if (ccosf(x) != ccosf(-x))
    link_error();

  if (ccosf(ctanf(x)) != ccosf(ctanf(-x)))
    link_error();

  if (ctanf(x-y) != -ctanf(y-x))
    link_error();

  if (ccosf(x/y) != ccosf(-x/y))
    link_error();

  if (ccosf(x/y) != ccosf(x/-y))
    link_error();

  if (ccosf(x/ctanf(y)) != ccosf(-x/ctanf(-y)))
    link_error();

  if (ccosf(x*y) != ccosf(-x*y))
    link_error();

  if (ccosf(x*y) != ccosf(x*-y))
    link_error();

  if (ccosf(ctanf(x)*y) != ccosf(ctanf(-x)*-y))
    link_error();

  if (ccosf(ctanf(x/y)) != ccosf(-ctanf(x/-y)))
    link_error();

  if (ccosf(i ? x : y) != ccosf(i ? -x : y))
    link_error();

  if (ccosf(i ? x : y) != ccosf(i ? x : -y))
    link_error();

  if (ccosf(i ? x : ctanf(y/x)) != ccosf(i ? -x : -ctanf(-y/x)))
    link_error();

  if (~x != -~-x)
    link_error();

  if (ccosf(~x) != ccosf(-~-x))
    link_error();

  if (ctanf(~(x-y)) != -ctanf(~(y-x)))
    link_error();

  if (ctanf(~(x/y)) != -ctanf(~(x/-y)))
    link_error();

#ifdef HAVE_C99_RUNTIME
  if (cargf(x) != atan2f(__imag__ x, __real__ x))
    link_error ();
#endif
}

void test1l(long double x)
{
  if (cosl(x) != cosl(-x))
    link_error ();

  if (cosl(x) != cosl(fabsl(x)))
    link_error ();

  if (cosl(x) != cosl(-fabsl(x)))
    link_error ();

  if (cosl(tanl(x)) != cosl(tanl(-fabsl(x))))
    link_error ();

#ifdef HAVE_C99_RUNTIME
  if (sinl(x)/cosl(x) != tanl(x))
    link_error ();

  if (cosl(x)/sinl(x) != 1.0l/tanl(x))
    link_error ();

  if (tanl(x)*cosl(x) != sinl(x))
    link_error ();

  if (cosl(x)*tanl(x) != sinl(x))
    link_error ();

  if (sinl(x)/tanl(x) != cosl(x))
    link_error ();

  if (tanl(x)/sinl(x) != 1.0l/cosl(x))
    link_error ();
#endif
}

void test2l(long double x, long double y)
{
  if (-tanl(x-y) != tanl(y-x))
    link_error ();

  if (-sinl(x-y) != sinl(y-x))
    link_error ();

  if (cosl(-x*y) != cosl(x*y))
    link_error ();

  if (cosl(x*-y) != cosl(x*y))
    link_error ();

  if (cosl(-x/y) != cosl(x/y))
    link_error ();

  if (cosl(x/-y) != cosl(x/y))
    link_error ();

  if (cosl(-fabsl(tanl(x/-y))) != cosl(tanl(x/y)))
    link_error ();

  if (cosl(y<10 ? -x : y) != cosl(y<10 ? x : y))
    link_error ();

  if (cosl(y<10 ? x : -y) != cosl(y<10 ? x : y))
    link_error ();

  if (cosl(y<10 ? -fabsl(x) : tanl(x<20 ? -x : -fabsl(y)))
      != cosl(y<10 ? x : tanl(x<20 ? x : y)))
    link_error ();

  if (cosl((y*=3, -x)) != cosl((y*=3,x)))
    link_error ();

  if (cosl(-fabsl(tanl(x/-y))) != cosl(tanl(x/y)))
    link_error ();

  if (cosl(copysignl(x,y)) != cosl(x))
    link_error ();

  if (cosl(copysignl(-fabsl(x),y*=2)) != cosl((y*=2,x)))
    link_error ();

  if (hypotl (x, 0) != fabsl(x))
    link_error ();

  if (hypotl (0, x) != fabsl(x))
    link_error ();

  if (hypotl (x, x) != fabsl(x) * __builtin_sqrtl(2))
    link_error ();

  if (hypotl (-x, y) != hypotl (x, y))
    link_error ();

  if (hypotl (x, -y) != hypotl (x, y))
    link_error ();

  if (hypotl (-x, -y) != hypotl (x, y))
    link_error ();

  if (hypotl (fabsl(x), y) != hypotl (x, y))
    link_error ();

  if (hypotl (x, fabsl(y)) != hypotl (x, y))
    link_error ();

  if (hypotl (fabsl(x), fabsl(y)) != hypotl (x, y))
    link_error ();

  if (hypotl (-fabsl(-x), -fabsl(fabsl(fabsl(-y)))) != hypotl (x, y))
    link_error ();

  if (hypotl (-x, 0) != fabsl(x))
    link_error ();

  if (hypotl (-x, x) != fabsl(x) * __builtin_sqrtl(2))
    link_error ();

  if (hypotl (purel(x), -purel(x)) != fabsl(purel(x)) * __builtin_sqrtl(2))
    link_error ();

  if (hypotl (tanl(-x), tanl(-fabsl(y))) != hypotl (tanl(x), tanl(y)))
    link_error ();

  if (fminl (fmaxl(x,y),y) != y)
    link_error ();

  if (fminl (fmaxl(y,x),y) != y)
    link_error ();

  if (fminl (x,fmaxl(x,y)) != x)
    link_error ();
  
  if (fminl (x,fmaxl(y,x)) != x)
    link_error ();
  
  if (fmaxl (fminl(x,y),y) != y)
    link_error ();

  if (fmaxl (fminl(y,x),y) != y)
    link_error ();

  if (fmaxl (x,fminl(x,y)) != x)
    link_error ();
  
  if (fmaxl (x,fminl(y,x)) != x)
    link_error ();

  if ((__complex__ long double) x != -(__complex__ long double) (-x))
    link_error ();

  if (x+(x-y)*1i != -(-x+(y-x)*1i))
    link_error ();

  if (x+(x-y)*1i != -(-x-(x-y)*1i))
    link_error ();

  if (ccosl(tanl(x)+sinl(y)*1i) != ccosl(-tanl(-x)+-sinl(-y)*1i))
    link_error ();

  if (ccosl(tanl(x)+sinl(x-y)*1i) != ccosl(-tanl(-x)-sinl(y-x)*1i))
    link_error ();

  if (-5+x*1i != -~(5+x*1i))
    link_error ();

  if (tanl(x)+tanl(y)*1i != -~(tanl(-x)+tanl(y)*1i))
    link_error ();
}

void test3l(__complex__ long double x, __complex__ long double y, int i)
{
  if (ccosl(x) != ccosl(-x))
    link_error();

  if (ccosl(ctanl(x)) != ccosl(ctanl(-x)))
    link_error();

  if (ctanl(x-y) != -ctanl(y-x))
    link_error();

  if (ccosl(x/y) != ccosl(-x/y))
    link_error();

  if (ccosl(x/y) != ccosl(x/-y))
    link_error();

  if (ccosl(x/ctanl(y)) != ccosl(-x/ctanl(-y)))
    link_error();

  if (ccosl(x*y) != ccosl(-x*y))
    link_error();

  if (ccosl(x*y) != ccosl(x*-y))
    link_error();

  if (ccosl(ctanl(x)*y) != ccosl(ctanl(-x)*-y))
    link_error();

  if (ccosl(ctanl(x/y)) != ccosl(-ctanl(x/-y)))
    link_error();

  if (ccosl(i ? x : y) != ccosl(i ? -x : y))
    link_error();

  if (ccosl(i ? x : y) != ccosl(i ? x : -y))
    link_error();

  if (ccosl(i ? x : ctanl(y/x)) != ccosl(i ? -x : -ctanl(-y/x)))
    link_error();

  if (~x != -~-x)
    link_error();

  if (ccosl(~x) != ccosl(-~-x))
    link_error();

  if (ctanl(~(x-y)) != -ctanl(~(y-x)))
    link_error();

  if (ctanl(~(x/y)) != -ctanl(~(x/-y)))
    link_error();

#ifdef HAVE_C99_RUNTIME
  if (cargl(x) != atan2l(__imag__ x, __real__ x))
    link_error ();
#endif
}

int main()
{
  test1 (1.0);
  test2 (1.0, 2.0);

  test1f (1.0f);
  test2f (1.0f, 2.0f);

  test1l (1.0l);
  test2l (1.0l, 2.0l);

  return 0;
}