File: frexp-01.c

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/* Test of frexp() function.
   $Id: frexp-01.c,v 1.2.2.1 2008/03/20 21:42:29 joerg_wunsch Exp $
 */
#include <math.h>
#include <stdio.h>
#include <stdlib.h>
#include "progmem.h"

#ifndef	__AVR__
# define PRINTFLN(fmt, ...)	\
    printf ("\nLine %d: " fmt "\n", __LINE__, ##__VA_ARGS__)
# define EXIT(code)	exit ((code) < 255 ? (code) : 100 + (code) % 100)
#else
# if defined(__AVR_ATmega128__)
  /* ATmega128 has enough RAM for sprintf(), print to 0x2000 in XRAM. */
#  define PRINTFLN(fmt, ...)	\
    sprintf ((char *)0x2000, "\nLine %d: " fmt "\n", __LINE__, ##__VA_ARGS__)
# else
   /* small AVR */
#  define PRINTFLN(args...)
# endif
# define EXIT	exit
#endif

union lofl_u {
    long lo;
    float fl;
};

volatile union lofl_u vf = { 1 };
int ve = { 1 };

PROGMEM const struct {		/* Table of test cases.	*/
    union lofl_u x;	/* argument			*/
    union lofl_u f;	/* fraction part: frexp(x,*pe)	*/
    int e;		/* exponent: *pe		*/
} t[] = {

    /* zero	*/
    { { 0x00000000 }, { 0x00000000 }, 0 },
    { { 0x80000000 }, { 0x80000000 }, 0 },

    /* subnormal	*/
    { { 0x00000001 }, { .fl = 0.5 },	-148 },
    { { 0x00000003 }, { .fl = 0.75 },	-147 },
    { { 0x00000100 }, { .fl = 0.5 },    -140 },
    { { 0x00010000 }, { .fl = 0.5 },    -132 },
    { { 0x007fffff }, { .fl = 0x0.fffffep+00 }, -126 },

    { { 0x80000001 }, { .fl = -0.5 },	-148 },
    { { 0x80000003 }, { .fl = -0.75 },	-147 },
    { { 0x80000100 }, { .fl = -0.5 },   -140 },
    { { 0x80010000 }, { .fl = -0.5 },   -132 },
    { { 0x807fffff }, { .fl = -0x0.fffffep+00 }, -126 },
    
    /* integral normal	*/
    { { .fl = 0x000001 }, { .fl = 0.5 }, 1 },
    { { .fl = 0x400000 }, { .fl = 0.5 }, 23 },
    { { .fl = 0x7fffff }, { .fl = 0x0.fffffep+00 }, 23 },

    { { .fl = -0x000001 }, { .fl = -0.5 }, 1 },
    { { .fl = -0x400000 }, { .fl = -0.5 }, 23 },
    { { .fl = -0x7fffff }, { .fl = -0x0.fffffep+00 }, 23 },
    
    /* very big	*/
    { { 0x7f000000 }, { .fl = 0.5 }, 128 },
    { { 0x7f7fffff }, { .fl = 0x0.ffffffp+00 }, 128 },

    { { 0xff000000 }, { .fl = -0.5 }, 128 },
    { { 0xff7fffff }, { .fl = -0x0.ffffffp+00 }, 128 },
};

int main ()
{
    union lofl_u x, zf;
    int ze;
    int i;
    
    for (i = 0; i < (int) (sizeof(t) / sizeof(t[0])); i++) {
	x.lo =  pgm_read_dword (& t[i].x);
	zf.lo = pgm_read_dword (& t[i].f);
	ze =    pgm_read_word (& t[i].e);
	vf.fl = frexp (x.fl, & ve);
	if (vf.lo != zf.lo || ve != ze) {
	    PRINTFLN ("t[%d]: %#lx %d", i, vf.lo, ve);
	    EXIT (i + 1);
	}
    }

    /* Check all normal values with fractional 0.5	*/
    for (i = 1; i < 255; i++) {
	/* Positive.	*/
	x.lo = (long)i << 23;
	vf.fl = frexp (x.fl, & ve);
	if (vf.lo != 0x3f000000 || ve != i - 126) {
	    PRINTFLN ("t[%d]: %#lx %d", i, vf.lo, ve);
	    EXIT (i + 100);
	}

	/* Negative.	*/
	x.lo |= 0x80000000;
	vf.fl = frexp (x.fl, & ve);
	if ((unsigned long)vf.lo != 0xbf000000 || ve != i - 126) {
	    PRINTFLN ("t[%d]: %#lx %d", i, vf.lo, ve);
	    EXIT (i + 100);
	}
    }
    
    /* X is not a finite value.	*/
    {
	static PROGMEM const long tnf[] = {
	    0x7f800000,		/* +Inf	*/
	    0xff800000,		/* -Inf	*/
	    0x7f800001,		/* NaN	*/
	    0x7f800100,
	    0x7f810000,
	    0x7fc00000,
	    0x7fffffff,
	    0xff800001,
	    0xff800100,
	    0xff810000,
	    0xffc00000,
	    0xffffffff,
	};
	for (i = 0; i < (int) (sizeof(tnf) / sizeof(tnf[0])); i++) {
	    x.lo = pgm_read_dword (& tnf[i]);
	    ve = 1;
	    vf.fl = frexp (x.fl, & ve);
#ifdef	__AVR__
	    if (vf.lo != x.lo || ve) {
		PRINTFLN ("tnf[%d]: %#lx %d", i, vf.lo, ve);
		EXIT (i + 200);
	    }
#else
	    if (isinf (x.fl)) {
		if (vf.lo != x.lo || ve) {
		    PRINTFLN ("tnf[%d]: %#lx %d", i, vf.lo, ve);
		    EXIT (i + 200);
		}
	    } else {
		if (!isnan (vf.fl) || ve) {
		    PRINTFLN ("tnf[%d]: %#lx %d", i, vf.lo, ve);
		    EXIT (i + 200);
		}
	    }
#endif
	}
    }

#ifdef	__AVR__
    /* NULL is a legal address for Avr-libc realization: skip writing.	*/
    {
	unsigned char r1 = 1;
        vf.fl = frexp (48, (int *)0);
	/* Check __zero_reg__, as it is allocated by 0x0001 address. */
	asm ("mov %0,r1 \n\t clr r1" : "=r"(r1));
	if (r1) EXIT (300);
	if (vf.fl != 0.75) EXIT (301);
    }
#endif

    return 0;
}