File: ldexp-01.c

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/* Test of ldexp function.  Without NaNs.
   $Id: ldexp-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;
    int y;
    union lofl_u z;		/* z = ldexp(x,y)	*/
} t[] = {

    /* x == 0	*/
    { { 0 },	0,	{ 0 }	},
    { { 0 },	1,	{ 0 }	},
    { { 0 },	-1,	{ 0 }	},
    { { 0 },	32767,	{ 0 }	},
    { { 0 },	-32768,	{ 0 }	},
    { { 0x80000000 }, 0,  { 0x80000000 }	},
    { { 0x80000000 }, -1, { 0x80000000 }	},
    
    /* normal --> normal	*/
    { { .fl = 1. }, 0,	  { .fl = 1. }		},
    { { .fl = 1. }, 1,	  { .fl = 2. }		},
    { { .fl = 1. }, -1,   { .fl = .5 }		},
    { { .fl = 1. }, 127,  { 0x7f000000 }	},
    { { .fl = 1. }, -126, { 0x00800000 }	},
    { { .fl = -1. },	0,	{ .fl = -1. }	},
    { { .fl = -1. },	1,	{ .fl = -2. }	},
    { { .fl = -1. },	-1,	{ .fl = -.5 }	},
    { { .fl = -1. },	127,	{ 0xff000000 }	},
    { { .fl = -1. },	-126,	{ 0x80800000 }	},

    /* normal --> subnormal	*/
    { { .fl = 1. },	-127,	{ 0x00400000 }	},
    { { .fl = 1. },	-149,	{ 0x00000001 }	},
    { { .fl = -1. },	-127,	{ 0x80400000 }	},
    { { .fl = -1. },	-149,	{ 0x80000001 }	},
    
    /* subnormal <<= N	*/
    { { 0x00000001 },	0,	{ 0x00000001 }	},
    { { 0x00000001 },	1,	{ 0x00000002 }	},
    { { 0x00000001 },	2,	{ 0x00000004 }	},
    { { 0x00000001 },	22,	{ 0x00400000 }	},
    { { 0x00000001 },	23,	{ 0x00800000 }	},
    { { 0x00000001 },	24,	{ 0x01000000 }	},
    { { 0x00000001 },	25,	{ 0x01800000 }	},
    { { 0x00000001 },	149,	{ 0x3f800000 }	},
    { { 0x00000001 },	276,	{ 0x7f000000 }	},
    { { 0x00000001 },	277,	{ 0x7f800000 }	},	/* overflow	*/
    
    /* subnormal >>= N	*/
    { { 0x00400000 },	0,	{ 0x00400000 }	},
    { { 0x00400000 },	-1,	{ 0x00200000 }	},
    { { 0x00400000 },	-2,	{ 0x00100000 }	},
    { { 0x00400000 },	-22,	{ 0x00000001 }	},
    { { 0x00400000 },	-23,	{ 0x00000000 }	},	/* round to 0	*/
    { { 0x00400000 },	-2000,	{ 0x00000000 }	},	/* underflow	*/
    
    /* underflow	*/
    { { .fl = 1. },	-151,	{ 0 }	},
    { { .fl = -1. },	-151,	{ 0x80000000 }	},
    
    /* overflow	*/
    { { .fl = 1. },	128,	{ 0x7f800000 }	},
    { { .fl = -1. },	128,	{ 0xff800000 }	},
    { { .fl = 1. },	32767-127,	{ 0x7f800000 }	},
    { { .fl = -1. },	32767-127,	{ 0xff800000 }	},
    
    /* Infinity	*/
    { { 0x7f800000 },	0,	{ 0x7f800000 } },
    { { 0x7f800000 },	1,	{ 0x7f800000 } },
    { { 0x7f800000 },	-1,	{ 0x7f800000 } },
    { { 0x7f800000 },	32767,	{ 0x7f800000 } },
    { { 0x7f800000 },	-32768,	{ 0x7f800000 } },
    { { 0xff800000 },	0,	{ 0xff800000 } },
    { { 0xff800000 },	1,	{ 0xff800000 } },
    { { 0xff800000 },	-1,	{ 0xff800000 } },
    { { 0xff800000 },	32767,	{ 0xff800000 } },
    { { 0xff800000 },	-32768,	{ 0xff800000 } },

    /* Rounding	*/
    { { 0x00000001 },	-1,	{ 0x00000000 } },
    { { 0x00000003 },	-1,	{ 0x00000002 } },
    { { 0x00000005 },	-1,	{ 0x00000002 } },
    { { 0x00000007 },	-1,	{ 0x00000004 } },
    { { 0x00000009 },	-1,	{ 0x00000004 } },
    { { 0x0000000b },	-1,	{ 0x00000006 } },
    { { 0x0000000d },	-1,	{ 0x00000006 } },    
    { { 0x0000000f },	-1,	{ 0x00000008 } },
    { { 0x00000011 },	-1,	{ 0x00000008 } },
    
    { { 0x00000100 },	-9,	{ 0x00000000 } },
    { { 0x00000101 },	-9,	{ 0x00000001 } },
    { { 0x00010001 },	-17,	{ 0x00000001 } },
    { { 0x00800001 },	-24,	{ 0x00000001 } },
    { { 0x01800001 },	-26,	{ 0x00000001 } },

    { { 0x00000101 },	-10,	{ 0x00000000 } },
};

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

int main ()
{
    union lofl_u x, z;
    int y;
    int i;

    for (i = 0; i < (int) (sizeof(t) / sizeof(t[0])); i++) {
	x.lo = pgm_read_dword (& t[i].x);
	y    = pgm_read_word  (& t[i].y);
	z.lo = pgm_read_dword (& t[i].z);
	v.fl = ldexp (x.fl, y);
	/* Comparison is integer to verify zero sign.	*/
	if (v.lo != z.lo)
	    x_exit (i+1);
    }
    return 0;
}