File: hypot-01.c

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/* Test of hypot() function.
   $Id: hypot-01.c,v 1.1 2007/02/05 21:35:58 dmix Exp $
 */
#include <math.h>
#include <stdio.h>
#include <stdlib.h>
#include "progmem.h"

union lofl_u {
    long lo;
    float fl;
};

volatile union lofl_u v = { .lo = 1 };

PROGMEM const struct {		/* Table of test cases	*/
    union lofl_u x, y;		/* args		*/
    union lofl_u z;		/* result	*/
} t[] = {

    /* NaN and NaN --> NaN	*/
    { { 0x7f800001 }, { 0x7f800100 }, { 0x7fc00000 } },
    { { 0x7f810001 }, { 0x7fc00000 }, { 0x7fc00000 } },
    { { 0x7fffffff }, { 0xff800001 }, { 0x7fc00000 } },
    { { 0xff800100 }, { 0x7f800100 }, { 0x7fc00000 } },

    /* NaN and finite --> NaN	*/
    { { 0x7f800001 }, { 0x3f800000 }, { 0x7fc00000 } },
    { { 0x3f800000 }, { 0x7f800001 }, { 0x7fc00000 } },

    /* Inf & NaN --> Inf	*/
    { { 0x7f800000 }, { 0x7f800001 }, { 0x7f800000 } },
    { { 0x7f800000 }, { 0x7f800100 }, { 0x7f800000 } },
    { { 0x7f800000 }, { 0x7f810000 }, { 0x7f800000 } },
    { { 0x7f800000 }, { 0x7fc00000 }, { 0x7f800000 } },
    { { 0x7f800000 }, { 0x7fffffff }, { 0x7f800000 } },
    { { 0x7f800000 }, { 0xffffffff }, { 0x7f800000 } },
    
    { { 0xff800000 }, { 0x7fc00000 }, { 0x7f800000 } },
    { { 0x7fc00000 }, { 0x7f800000 }, { 0x7f800000 } },
    { { 0x7fc00000 }, { 0xff800000 }, { 0x7f800000 } },
    
    /* 0 and 0	*/
    { { 0x00000000 }, { 0x00000000 }, { 0x00000000 } },
    { { 0x80000000 }, { 0x00000000 }, { 0x00000000 } },
    { { 0x00000000 }, { 0x80000000 }, { 0x00000000 } },
    { { 0x80000000 }, { 0x80000000 }, { 0x00000000 } },

    /* hypot(0,*)	*/
    { { 0 }, { 0x00000001 }, { 0x00000001 } },
    { { 0 }, { 0x007fffff }, { 0x007fffff } },
    { { 0 }, { 0x00800000 }, { 0x00800000 } },
    { { 0 }, { 0x3f800000 }, { 0x3f800000 } },
    { { 0 }, { 0x7f7fffff }, { 0x7f7fffff } },
    { { 0 }, { 0x7f800000 }, { 0x7f800000 } },	/* Inf	*/

    /* hypot(*,0)	*/
    { { 0x00000001 }, { 0 }, { 0x00000001 } },
    { { 0x007fffff }, { 0 }, { 0x007fffff } },
    { { 0x00800000 }, { 0 }, { 0x00800000 } },
    { { 0x3f800000 }, { 0 }, { 0x3f800000 } },
    { { 0x7f7fffff }, { 0 }, { 0x7f7fffff } },
    { { 0x7f800000 }, { 0 }, { 0x7f800000 } },	/* Inf	*/
    
    /* overflow	*/
    { { 0x7f7fffff }, { 0x7f7fffff }, { 0x7f800000 } },
    { { 0xff7fffff }, { 0xff7fffff }, { 0x7f800000 } },
/*  { { .fl= 2.4061596e+38 }, { .fl= 2.4061596e+38 }, { 0x7f800000 } }, */
    { { .fl= 2.4061598e+38 }, { .fl= 2.4061598e+38 }, { 0x7f800000 } },
    
    { { .fl=  3 }, { .fl=  4 }, { .fl= 5 } },
    { { .fl= -3 }, { .fl=  4 }, { .fl= 5 } },
    { { .fl=  3 }, { .fl= -4 }, { .fl= 5 } },
    { { .fl= -3 }, { .fl= -4 }, { .fl= 5 } },

    /* very small args	*/    
    { { 0x00000001 }, { 0x00000001 }, { 0x00000001 } },		/* 1.4	*/
    { { 0x00000001 }, { 0x00000002 }, { 0x00000002 } },		/* 2.2	*/
    { { 0x00000002 }, { 0x00000001 }, { 0x00000002 } },		/* 2.2	*/
    { { 0x00000002 }, { 0x00000002 }, { 0x00000003 } },		/* 2.8	*/
    
    /* very big args	*/
    { { .fl= 2.4061596e+38 }, { .fl= 2.4061595e+38 }, { 0x7f7fffff } },
    { { .fl= 2.4061595e+38 }, { .fl= 2.4061596e+38 }, { 0x7f7fffff } },
    
    /* x >> y	*/
    { { .fl= 1 }, { .fl= 0x0.8p-9 },  { 0x3f800004 } },
    { { .fl= 1 }, { .fl= 0x0.8p-10 }, { 0x3f800001 } },
    { { .fl= 1 }, { .fl= 0x0.8p-11 }, { 0x3f800000 } },
    { { .fl= 1 }, { .fl= 0x0.8p-12 }, { 0x3f800000 } },
    { { .fl= 1 }, { .fl= 0x0.8p-13 }, { 0x3f800000 } },
    
    { { .fl= 0x0.800001p0 }, { .fl= 0x0.ffffffp-10 }, { 0x3f000011 } },
    { { .fl= 0x0.800001p0 }, { .fl= 0x0.ffffffp-11 }, { 0x3f000005 } },
    { { .fl= 0x0.800001p0 }, { .fl= 0x0.ffffffp-12 }, { 0x3f000002 } },
    { { .fl= 0x0.800001p0 }, { .fl= 0x0.ffffffp-13 }, { 0x3f000001 } },
    { { .fl= 0x0.800001p0 }, { .fl= 0x0.ffffffp-14 }, { 0x3f000001 } },
    { { .fl= 0x0.800001p0 }, { .fl= 0x0.ffffffp-15 }, { 0x3f000001 } },

    /* x << y	*/
    { { .fl= 0x0.8p-9 },  { .fl= 1 }, { 0x3f800004 } },
    { { .fl= 0x0.8p-10 }, { .fl= 1 }, { 0x3f800001 } },
    { { .fl= 0x0.8p-11 }, { .fl= 1 }, { 0x3f800000 } },
    { { .fl= 0x0.8p-12 }, { .fl= 1 }, { 0x3f800000 } },
    { { .fl= 0x0.8p-13 }, { .fl= 1 }, { 0x3f800000 } },
    
    { { .fl= 0x0.ffffffp-10 }, { .fl= 0x0.800001p0 }, { 0x3f000011 } },
    { { .fl= 0x0.ffffffp-11 }, { .fl= 0x0.800001p0 }, { 0x3f000005 } },
    { { .fl= 0x0.ffffffp-12 }, { .fl= 0x0.800001p0 }, { 0x3f000002 } },
    { { .fl= 0x0.ffffffp-13 }, { .fl= 0x0.800001p0 }, { 0x3f000001 } },
    { { .fl= 0x0.ffffffp-14 }, { .fl= 0x0.800001p0 }, { 0x3f000001 } },
    { { .fl= 0x0.ffffffp-15 }, { .fl= 0x0.800001p0 }, { 0x3f000001 } },

    /* a set of scales	*/    
    { { 0x00000003 }, { 0x00000004 }, { 0x00000005 } },
    { { .fl= 0x0.3p-140 }, { .fl= 0x0.4p-140 }, { .fl= 0x0.5p-140 } },
    { { .fl= 0x0.3p-120 }, { .fl= 0x0.4p-120 }, { .fl= 0x0.5p-120 } },
    { { .fl= 0x0.3p-100 }, { .fl= 0x0.4p-100 }, { .fl= 0x0.5p-100 } },
    { { .fl= 0x0.3p-80 },  { .fl= 0x0.4p-80 },  { .fl= 0x0.5p-80 }  },
    { { .fl= 0x0.3p-60 },  { .fl= 0x0.4p-60 },  { .fl= 0x0.5p-60 }  },
    { { .fl= 0x0.3p-40 },  { .fl= 0x0.4p-40 },  { .fl= 0x0.5p-40 }  },
    { { .fl= 0x0.3p-20 },  { .fl= 0x0.4p-20 },  { .fl= 0x0.5p-20 }  },
    { { .fl= 0x0.3p+0 },   { .fl= 0x0.4p+0 },   { .fl= 0x0.5p+0 }   },
    { { .fl= 0x0.3p+20 },  { .fl= 0x0.4p+20 },  { .fl= 0x0.5p+20 }  },
    { { .fl= 0x0.3p+40 },  { .fl= 0x0.4p+40 },  { .fl= 0x0.5p+40 }  },
    { { .fl= 0x0.3p+60 },  { .fl= 0x0.4p+60 },  { .fl= 0x0.5p+60 }  },
    { { .fl= 0x0.3p+80 },  { .fl= 0x0.4p+80 },  { .fl= 0x0.5p+80 }  },
    { { .fl= 0x0.3p+100 }, { .fl= 0x0.4p+100 }, { .fl= 0x0.5p+100 } },
    { { .fl= 0x0.3p+120 }, { .fl= 0x0.4p+120 }, { .fl= 0x0.5p+120 } },
};

void x_exit (int index)
{
#ifndef	__AVR__
    fprintf (stderr, "t[%d]:  %#lx\n", index - 1, v.lo);
#endif
    exit (index ? index : -1);
}

int main ()
{
    union lofl_u x,y,z;
    int i;
    
    for (i = 0; i < (int) (sizeof(t) / sizeof(t[0])); i++) {
	y.lo = pgm_read_dword (& t[i].y);
	x.lo = pgm_read_dword (& t[i].x);
	z.lo = pgm_read_dword (& t[i].z);
	v.fl = hypot (x.fl, y.fl);
	
	if (   v.lo == z.lo
	    || (isnan(v.fl) && isnan(z.fl))	)
	  continue;
	x_exit (i+1);
    }
    return 0;
}