/* reduce.f -- translated by f2c (version 20031025).
   You must link the resulting object file with libf2c:
	on Microsoft Windows system, link with libf2c.lib;
	on Linux or Unix systems, link with .../path/to/libf2c.a -lm
	or, if you install libf2c.a in a standard place, with -lf2c -lm
	-- in that order, at the end of the command line, as in
		cc *.o -lf2c -lm
	Source for libf2c is in /netlib/f2c/libf2c.zip, e.g.,

		http://www.netlib.org/f2c/libf2c.zip
*/

/*#include "f2c.h"*/
#include <stdlib.h>
#include "grib2.h"
typedef g2int integer;
typedef g2float real;

/* Subroutine */ int reduce(integer *kfildo, integer *jmin, integer *jmax, 
	integer *lbit, integer *nov, integer *lx, integer *ndg, integer *ibit,
	 integer *jbit, integer *kbit, integer *novref, integer *ibxx2, 
	integer *ier)
{
    /* Initialized data */

    static integer ifeed = 12;

    /* System generated locals */
    integer i__1, i__2;

    /* Local variables */
    static integer newboxtp, j, l, m, jj, lxn, left;
    static real pimp;
    static integer move, novl;
    static char cfeed[1];
    static integer nboxj[31], lxnkp, iorigb, ibxx2m1, movmin,
	     ntotbt[31], ntotpr, newboxt;
    integer *newbox, *newboxp;


/*        NOVEMBER 2001   GLAHN   TDL   GRIB2 */
/*        MARCH    2002   GLAHN   COMMENT IER = 715 */
/*        MARCH    2002   GLAHN   MODIFIED TO ACCOMMODATE LX=1 ON ENTRY */

/*        PURPOSE */
/*            DETERMINES WHETHER THE NUMBER OF GROUPS SHOULD BE */
/*            INCREASED IN ORDER TO REDUCE THE SIZE OF THE LARGE */
/*            GROUPS, AND TO MAKE THAT ADJUSTMENT.  BY REDUCING THE */
/*            SIZE OF THE LARGE GROUPS, LESS BITS MAY BE NECESSARY */
/*            FOR PACKING THE GROUP SIZES AND ALL THE INFORMATION */
/*            ABOUT THE GROUPS. */

/*            THE REFERENCE FOR NOV( ) WAS REMOVED IN THE CALLING */
/*            ROUTINE SO THAT KBIT COULD BE DETERMINED.  THIS */
/*            FURNISHES A STARTING POINT FOR THE ITERATIONS IN REDUCE. */
/*            HOWEVER, THE REFERENCE MUST BE CONSIDERED. */

/*        DATA SET USE */
/*           KFILDO - UNIT NUMBER FOR OUTPUT (PRINT) FILE. (OUTPUT) */

/*        VARIABLES IN CALL SEQUENCE */
/*              KFILDO = UNIT NUMBER FOR OUTPUT (PRINT) FILE.  (INPUT) */
/*             JMIN(J) = THE MINIMUM OF EACH GROUP (J=1,LX).  IT IS */
/*                       POSSIBLE AFTER SPLITTING THE GROUPS, JMIN( ) */
/*                       WILL NOT BE THE MINIMUM OF THE NEW GROUP. */
/*                       THIS DOESN'T MATTER; JMIN( ) IS REALLY THE */
/*                       GROUP REFERENCE AND DOESN'T HAVE TO BE THE */
/*                       SMALLEST VALUE.  (INPUT/OUTPUT) */
/*             JMAX(J) = THE MAXIMUM OF EACH GROUP (J=1,LX). */
/*                       (INPUT/OUTPUT) */
/*             LBIT(J) = THE NUMBER OF BITS NECESSARY TO PACK EACH GROUP */
/*                       (J=1,LX).  (INPUT/OUTPUT) */
/*              NOV(J) = THE NUMBER OF VALUES IN EACH GROUP (J=1,LX). */
/*                       (INPUT/OUTPUT) */
/*                  LX = THE NUMBER OF GROUPS.  THIS WILL BE INCREASED */
/*                       IF GROUPS ARE SPLIT.  (INPUT/OUTPUT) */
/*                 NDG = THE DIMENSION OF JMIN( ), JMAX( ), LBIT( ), AND */
/*                       NOV( ).  (INPUT) */
/*                IBIT = THE NUMBER OF BITS NECESSARY TO PACK THE JMIN(J) */
/*                       VALUES, J=1,LX.  (INPUT) */
/*                JBIT = THE NUMBER OF BITS NECESSARY TO PACK THE LBIT(J) */
/*                       VALUES, J=1,LX.  (INPUT) */
/*                KBIT = THE NUMBER OF BITS NECESSARY TO PACK THE NOV(J) */
/*                       VALUES, J=1,LX.  IF THE GROUPS ARE SPLIT, KBIT */
/*                       IS REDUCED.  (INPUT/OUTPUT) */
/*              NOVREF = REFERENCE VALUE FOR NOV( ).  (INPUT) */
/*            IBXX2(J) = 2**J (J=0,30).  (INPUT) */
/*                 IER = ERROR RETURN.  (OUTPUT) */
/*                         0 = GOOD RETURN. */
/*                       714 = PROBLEM IN ALGORITHM.  REDUCE ABORTED. */
/*                       715 = NGP NOT LARGE ENOUGH.  REDUCE ABORTED. */
/*           NTOTBT(J) = THE TOTAL BITS USED FOR THE PACKING BITS J */
/*                       (J=1,30).  (INTERNAL) */
/*            NBOXJ(J) = NEW BOXES NEEDED FOR THE PACKING BITS J */
/*                       (J=1,30).  (INTERNAL) */
/*           NEWBOX(L) = NUMBER OF NEW BOXES (GROUPS) FOR EACH ORIGINAL */
/*                       GROUP (L=1,LX) FOR THE CURRENT J.  (AUTOMATIC) */
/*                       (INTERNAL) */
/*          NEWBOXP(L) = SAME AS NEWBOX( ) BUT FOR THE PREVIOUS J. */
/*                       THIS ELIMINATES RECOMPUTATION.  (AUTOMATIC) */
/*                       (INTERNAL) */
/*               CFEED = CONTAINS THE CHARACTER REPRESENTATION */
/*                       OF A PRINTER FORM FEED.  (CHARACTER) (INTERNAL) */
/*               IFEED = CONTAINS THE INTEGER VALUE OF A PRINTER */
/*                       FORM FEED.  (INTERNAL) */
/*              IORIGB = THE ORIGINAL NUMBER OF BITS NECESSARY */
/*                       FOR THE GROUP VALUES.  (INTERNAL) */
/*        1         2         3         4         5         6         7 X */

/*        NON SYSTEM SUBROUTINES CALLED */
/*           NONE */


/*        NEWBOX( ) AND NEWBOXP( ) were AUTOMATIC ARRAYS. */
    newbox = (integer *)calloc(*ndg,sizeof(integer));
    newboxp = (integer *)calloc(*ndg,sizeof(integer));

    /* Parameter adjustments */
    --nov;
    --lbit;
    --jmax;
    --jmin;

    /* Function Body */

    *ier = 0;
    if (*lx == 1) {
	goto L410;
    }
/*        IF THERE IS ONLY ONE GROUP, RETURN. */

    *(unsigned char *)cfeed = (char) ifeed;

/*        INITIALIZE NUMBER OF NEW BOXES PER GROUP TO ZERO. */

    i__1 = *lx;
    for (l = 1; l <= i__1; ++l) {
	newbox[l - 1] = 0;
/* L110: */
    }

/*        INITIALIZE NUMBER OF TOTAL NEW BOXES PER J TO ZERO. */

    for (j = 1; j <= 31; ++j) {
	ntotbt[j - 1] = 999999999;
	nboxj[j - 1] = 0;
/* L112: */
    }

    iorigb = (*ibit + *jbit + *kbit) * *lx;
/*        IBIT = BITS TO PACK THE JMIN( ). */
/*        JBIT = BITS TO PACK THE LBIT( ). */
/*        KBIT = BITS TO PACK THE NOV( ). */
/*        LX = NUMBER OF GROUPS. */
    ntotbt[*kbit - 1] = iorigb;
/*           THIS IS THE VALUE OF TOTAL BITS FOR THE ORIGINAL LX */
/*           GROUPS, WHICH REQUIRES KBITS TO PACK THE GROUP */
/*           LENGHTS.  SETTING THIS HERE MAKES ONE LESS LOOPS */
/*           NECESSARY BELOW. */

/*        COMPUTE BITS NOW USED FOR THE PARAMETERS DEFINED. */

/*        DETERMINE OTHER POSSIBILITES BY INCREASING LX AND DECREASING */
/*        NOV( ) WITH VALUES GREATER THAN THRESHOLDS.  ASSUME A GROUP IS */
/*        SPLIT INTO 2 OR MORE GROUPS SO THAT KBIT IS REDUCED WITHOUT */
/*        CHANGING IBIT OR JBIT. */

    jj = 0;

/* Computing MIN */
    i__1 = 30, i__2 = *kbit - 1;
    /*for (j = min(i__1,i__2); j >= 2; --j) {*/
    for (j = (i__1 < i__2) ? i__1 : i__2; j >= 2; --j) {
/*           VALUES GE KBIT WILL NOT REQUIRE SPLITS.  ONCE THE TOTAL */
/*           BITS START INCREASING WITH DECREASING J, STOP.  ALSO, THE */
/*           NUMBER OF BITS REQUIRED IS KNOWN FOR KBITS = NTOTBT(KBIT). */

	newboxt = 0;

	i__1 = *lx;
	for (l = 1; l <= i__1; ++l) {

	    if (nov[l] < ibxx2[j]) {
		newbox[l - 1] = 0;
/*                 NO SPLITS OR NEW BOXES. */
		goto L190;
	    } else {
		novl = nov[l];

		m = (nov[l] - 1) / (ibxx2[j] - 1) + 1;
/*                 M IS FOUND BY SOLVING THE EQUATION BELOW FOR M: */
/*                 (NOV(L)+M-1)/M LT IBXX2(J) */
/*                 M GT (NOV(L)-1)/(IBXX2(J)-1) */
/*                 SET M = (NOV(L)-1)/(IBXX2(J)-1)+1 */
L130:
		novl = (nov[l] + m - 1) / m;
/*                 THE +M-1 IS NECESSARY.  FOR INSTANCE, 15 WILL FIT */
/*                 INTO A BOX 4 BITS WIDE, BUT WON'T DIVIDE INTO */
/*                 TWO BOXES 3 BITS WIDE EACH. */

		if (novl < ibxx2[j]) {
		    goto L185;
		} else {
		    ++m;
/* ***                  WRITE(KFILDO,135)L,NOV(L),NOVL,M,J,IBXX2(J) */
/* *** 135              FORMAT(/' AT 135--L,NOV(L),NOVL,M,J,IBXX2(J)',6I10) */
		    goto L130;
		}

/*                 THE ABOVE DO LOOP WILL NEVER COMPLETE. */
	    }

L185:
	    newbox[l - 1] = m - 1;
	    newboxt = newboxt + m - 1;
L190:
	    ;
	}

	nboxj[j - 1] = newboxt;
	ntotpr = ntotbt[j];
	ntotbt[j - 1] = (*ibit + *jbit) * (*lx + newboxt) + j * (*lx + 
		newboxt);

	if (ntotbt[j - 1] >= ntotpr) {
	    jj = j + 1;
/*              THE PLUS IS USED BECAUSE J DECREASES PER ITERATION. */
	    goto L250;
	} else {

/*              SAVE THE TOTAL NEW BOXES AND NEWBOX( ) IN CASE THIS */
/*              IS THE J TO USE. */

	    newboxtp = newboxt;

	    i__1 = *lx;
	    for (l = 1; l <= i__1; ++l) {
		newboxp[l - 1] = newbox[l - 1];
/* L195: */
	    }

/*           WRITE(KFILDO,197)NEWBOXT,IBXX2(J) */
/* 197        FORMAT(/' *****************************************' */
/*    1             /' THE NUMBER OF NEWBOXES PER GROUP OF THE TOTAL', */
/*    2              I10,' FOR GROUP MAXSIZE PLUS 1 ='I10 */
/*    3             /' *****************************************') */
/*           WRITE(KFILDO,198) (NEWBOX(L),L=1,LX) */
/* 198        FORMAT(/' '20I6/(' '20I6)) */
	}

/* 205     WRITE(KFILDO,209)KBIT,IORIGB */
/* 209     FORMAT(/' ORIGINAL BITS WITH KBIT OF',I5,' =',I10) */
/*        WRITE(KFILDO,210)(N,N=2,10),(IBXX2(N),N=2,10), */
/*    1                    (NTOTBT(N),N=2,10),(NBOXJ(N),N=2,10), */
/*    2                    (N,N=11,20),(IBXX2(N),N=11,20), */
/*    3                    (NTOTBT(N),N=11,20),(NBOXJ(N),N=11,20), */
/*    4                    (N,N=21,30),(IBXX2(N),N=11,20), */
/*    5                    (NTOTBT(N),N=21,30),(NBOXJ(N),N=21,30) */
/* 210     FORMAT(/' THE TOTAL BYTES FOR MAXIMUM GROUP LENGTHS BY ROW'// */
/*    1      '   J         = THE NUMBER OF BITS PER GROUP LENGTH'/ */
/*    2      '   IBXX2(J)  = THE MAXIMUM GROUP LENGTH PLUS 1 FOR THIS J'/ */
/*    3      '   NTOTBT(J) = THE TOTAL BITS FOR THIS J'/ */
/*    4      '   NBOXJ(J)  = THE NEW GROUPS FOR THIS J'/ */
/*    5      4(/10X,9I10)/4(/10I10)/4(/10I10)) */

/* L200: */
    }

L250:
    pimp = (iorigb - ntotbt[jj - 1]) / (real) iorigb * 100.f;
/*     WRITE(KFILDO,252)PIMP,KBIT,JJ */
/* 252  FORMAT(/' PERCENT IMPROVEMENT =',F6.1, */
/*    1        ' BY DECREASING GROUP LENGTHS FROM',I4,' TO',I4,' BITS') */
    if (pimp >= 2.f) {

/*        WRITE(KFILDO,255)CFEED,NEWBOXTP,IBXX2(JJ) */
/* 255     FORMAT(A1,/' *****************************************' */
/*    1             /' THE NUMBER OF NEWBOXES PER GROUP OF THE TOTAL', */
/*    2             I10,' FOR GROUP MAXSIZE PLUS 1 ='I10 */
/*    2             /' *****************************************') */
/*        WRITE(KFILDO,256) (NEWBOXP(L),L=1,LX) */
/* 256     FORMAT(/' '20I6) */

/*           ADJUST GROUP LENGTHS FOR MAXIMUM LENGTH OF JJ BITS. */
/*           THE MIN PER GROUP AND THE NUMBER OF BITS REQUIRED */
/*           PER GROUP ARE NOT CHANGED.  THIS MAY MEAN THAT A */
/*           GROUP HAS A MIN (OR REFERENCE) THAT IS NOT ZERO. */
/*           THIS SHOULD NOT MATTER TO THE UNPACKER. */

	lxnkp = *lx + newboxtp;
/*           LXNKP = THE NEW NUMBER OF BOXES */

	if (lxnkp > *ndg) {
/*              DIMENSIONS NOT LARGE ENOUGH.  PROBABLY AN ERROR */
/*              OF SOME SORT.  ABORT. */
/*           WRITE(KFILDO,257)NDG,LXNPK */
/*        1         2         3         4         5         6         7 X */
/* 257        FORMAT(/' DIMENSIONS OF JMIN, ETC. IN REDUCE =',I8, */
/*    1              ' NOT LARGE ENOUGH FOR THE EXPANDED NUMBER OF', */
/*    2              ' GROUPS =',I8,'.  ABORT REDUCE.') */
	    *ier = 715;
	    goto L410;
/*              AN ABORT CAUSES THE CALLING PROGRAM TO REEXECUTE */
/*              WITHOUT CALLING REDUCE. */
	}

	lxn = lxnkp;
/*           LXN IS THE NUMBER OF THE BOX IN THE NEW SERIES BEING */
/*           FILLED.  IT DECREASES PER ITERATION. */
	ibxx2m1 = ibxx2[jj] - 1;
/*           IBXX2M1 IS THE MAXIMUM NUMBER OF VALUES PER GROUP. */

	for (l = *lx; l >= 1; --l) {

/*              THE VALUES IS NOV( ) REPRESENT THOSE VALUES + NOVREF. */
/*              WHEN VALUES ARE MOVED TO ANOTHER BOX, EACH VALUE */
/*              MOVED TO A NEW BOX REPRESENTS THAT VALUE + NOVREF. */
/*              THIS HAS TO BE CONSIDERED IN MOVING VALUES. */

	    if (newboxp[l - 1] * (ibxx2m1 + *novref) + *novref > nov[l] + *
		    novref) {
/*                 IF THE ABOVE TEST IS MET, THEN MOVING IBXX2M1 VALUES */
/*                 FOR ALL NEW BOXES WILL LEAVE A NEGATIVE NUMBER FOR */
/*                 THE LAST BOX.  NOT A TOLERABLE SITUATION. */
		movmin = (nov[l] - newboxp[l - 1] * *novref) / newboxp[l - 1];
		left = nov[l];
/*                 LEFT = THE NUMBER OF VALUES TO MOVE FROM THE ORIGINAL */
/*                 BOX TO EACH NEW BOX EXCEPT THE LAST.  LEFT IS THE */
/*                 NUMBER LEFT TO MOVE. */
	    } else {
		movmin = ibxx2m1;
/*                 MOVMIN VALUES CAN BE MOVED FOR EACH NEW BOX. */
		left = nov[l];
/*                 LEFT IS THE NUMBER OF VALUES LEFT TO MOVE. */
	    }

	    if (newboxp[l - 1] > 0) {
		if ((movmin + *novref) * newboxp[l - 1] + *novref <= nov[l] + 
			*novref && (movmin + *novref) * (newboxp[l - 1] + 1) 
			>= nov[l] + *novref) {
		    goto L288;
		} else {
/* ***D                 WRITE(KFILDO,287)L,MOVMIN,NOVREF,NEWBOXP(L),NOV(L) */
/* ***D287              FORMAT(/' AT 287 IN REDUCE--L,MOVMIN,NOVREF,', */
/* ***D    1                    'NEWBOXP(L),NOV(L)',5I12 */
/* ***D    2                    ' REDUCE ABORTED.') */
/*              WRITE(KFILDO,2870) */
/* 2870          FORMAT(/' AN ERROR IN REDUCE ALGORITHM.  ABORT REDUCE.') */
		    *ier = 714;
		    goto L410;
/*                 AN ABORT CAUSES THE CALLING PROGRAM TO REEXECUTE */
/*                 WITHOUT CALLING REDUCE. */
		}

	    }

L288:
	    i__1 = newboxp[l - 1] + 1;
	    for (j = 1; j <= i__1; ++j) {
		/*move = min(movmin,left);*/
		move = (movmin < left) ? movmin : left;
		jmin[lxn] = jmin[l];
		jmax[lxn] = jmax[l];
		lbit[lxn] = lbit[l];
		nov[lxn] = move;
		--lxn;
		left -= move + *novref;
/*                 THE MOVE OF MOVE VALUES REALLY REPRESENTS A MOVE OF */
/*                 MOVE + NOVREF VALUES. */
/* L290: */
	    }

	    if (left != -(*novref)) {
/* ***               WRITE(KFILDO,292)L,LXN,MOVE,LXNKP,IBXX2(JJ),LEFT,NOV(L), */
/* ***     1                          MOVMIN */
/* *** 292           FORMAT(' AT 292 IN REDUCE--L,LXN,MOVE,LXNKP,', */
/* ***     1                'IBXX2(JJ),LEFT,NOV(L),MOVMIN'/8I12) */
	    }

/* L300: */
	}

	*lx = lxnkp;
/*           LX IS NOW THE NEW NUMBER OF GROUPS. */
	*kbit = jj;
/*           KBIT IS NOW THE NEW NUMBER OF BITS REQUIRED FOR PACKING */
/*           GROUP LENGHTS. */
    }

/*     WRITE(KFILDO,406)CFEED,LX */
/* 406  FORMAT(A1,/' *****************************************' */
/*    1          /' THE GROUP SIZES NOV( ) AFTER REDUCTION IN SIZE', */
/*    2           ' FOR'I10,' GROUPS', */
/*    3          /' *****************************************') */
/*     WRITE(KFILDO,407) (NOV(J),J=1,LX) */
/* 407  FORMAT(/' '20I6) */
/*     WRITE(KFILDO,408)CFEED,LX */
/* 408  FORMAT(A1,/' *****************************************' */
/*    1          /' THE GROUP MINIMA JMIN( ) AFTER REDUCTION IN SIZE', */
/*    2           ' FOR'I10,' GROUPS', */
/*    3          /' *****************************************') */
/*     WRITE(KFILDO,409) (JMIN(J),J=1,LX) */
/* 409  FORMAT(/' '20I6) */

L410:
    if ( newbox != 0 ) free(newbox);
    if ( newboxp != 0 ) free(newboxp);
    return 0;
} /* reduce_ */

