ComposerDesktopProject/dev/tabedit/columns5.c

/*
 * Copyright (c) 1983-2013 Trevor Wishart and Composers Desktop Project Ltd
 * http://www.trevorwishart.co.uk
 * http://www.composersdesktop.com
 *
 This file is part of the CDP System.

 The CDP System is free software; you can redistribute it
 and/or modify it under the terms of the GNU Lesser General Public
 License as published by the Free Software Foundation; either
 version 2.1 of the License, or (at your option) any later version.

 The CDP System is distributed in the hope that it will be useful,
 but WITHOUT ANY WARRANTY; without even the implied warranty of
 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
 GNU Lesser General Public License for more details.

 You should have received a copy of the GNU Lesser General Public
 License along with the CDP System; if not, write to the Free Software
 Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA
 02111-1307 USA
 *
 */



#include <columns.h>
#include <cdplib.h>

 //#ifdef unix
#define round(x) lround((x))
//#endif

#define MIN_TEMPO (.01666667)           /* 1 beat per hour ! */
#define MAX_TEMPO (60000)                       /* 1 beat per millisecond ! */

int alphabetical_order(char *,char *);
double leveltodb(double,int);
double dbtolevel(double);
void hinsert(int m,int t,int *perm,int permlen);
void ascending_sort_cells(int *perm,int ccnt);
void hshuflup(int k,int *perm,int permlen);
void hprefix(int m,int *perm,int permlen);
void randperm(int *perm, int permlen);
static void invertenv(double piv);
static void docross
(double lastnval,double lastmval,double thisnval, double thismval,double time,int *j,double *out,int typ);
static void hhinsert(int m,int t,int setlen,int *perm);
static void hhprefix(int m,int setlen,int *perm);
static void hhshuflup(int k,int setlen,int *perm);
static void do_repet_restricted_perm(int *arr, int *perm, int arrsiz, int allowed, int endval);
static void get_metre(char [],int *barlen,int *beatsize);
static double get_tempo(char *str);
static double get_beat(int n,int barlen);
static void get_offset(char *str,double *offset);
static double randoffset(double scatter);
static double readbrk(float *warpvals,double time,int wcnt);

/***************************** PRODUCT ***************************/

void product(void)
{
    int n;
    double sum = number[0];
    for(n=1;n<cnt;n++)
        sum *= number[n];
    do_valout_as_message(sum);
    fflush(stdout);
}

/*************************** HZ_TO_MIDI ************************/

void hz_to_midi(void)
{
    int n;
    for(n=0;n<cnt;n++) {
        number[n] = hztomidi(number[n]);
        do_valout(number[n]);
    }
    fflush(stdout);
}

/******************************** FIND_MEAN *************************/

void find_mean(void)
{
    double sum = 0.0;
    int n;
    for(n=0;n<cnt;n++)
        sum += number[n];
    sum /= (double)cnt;
    do_valout_as_message(sum);
    fflush(stdout);
}

/******************************** MIDI_TO_HZ **************************/

void midi_to_hz(void)
{
    int n;
    for(n=0;n<cnt;n++) {
        number[n] = miditohz(number[n]);
        do_valout(number[n]);
    }
    fflush(stdout);
}

/*************************** MAJOR_TO_MINOR *************************/

void major_to_minor(void)
{
    int n;
    int m3 = (4 + ifactor)%12;      /* MIDI location of major 3rd */
    int m6 = (9 + ifactor)%12;      /* MIDI location of major 6th */
    for(n=0;n<cnt;n++) {
        factor = fmod(number[n],TWELVE);
        if(flteq(factor,(double)m3) || flteq(factor,(double)m6))
            number[n] -= 1.0;
        do_valout(number[n]);
    }
    fflush(stdout);
}

/****************** REMOVE_MIDI_PITCHCLASS_DUPLICATES *******************/

void remove_midi_pitchclass_duplicates(void)
{
    int n, m, move;
    int k = cnt-ifactor;
    int failed = 0;
    for(n=0;n<k;n++) {
        for(m=1;m<=ifactor;m++) {
            if(n+m >= cnt)
                break;
            if(flteq(fmod(number[n],12.0),fmod(number[n+m],12.0))) {
                if((move = m_repos(n+m))<0) {
                    failed++;
                } else {
                    n += move;      /* list shufld forwd, or not */
                    m--;            /* m+1th item now at m */
                }
            }
        }
    }
    if(failed)
        fprintf(stdout,"WARNING: %d items failed to be separated.\n",failed);
    for(n=0;n<cnt;n++)
        do_valout(number[n]);
    fflush(stdout);
}

/************************** REVERSE_LIST *************************/

void reverse_list(void)
{
    int n;
    for(n=stringscnt-1;n>=0;n--)
        do_stringout(strings[n]);
    fflush(stdout);
}

/************************* ROTATE_MOTIF *************************/

void rotate_motif(void)
{
    int n;
    for(n=cnt-ifactor;n<cnt;n++)
        do_valout(number[n]);
    for(n=0;n<cnt-ifactor;n++)
        do_valout(number[n]);
    fflush(stdout);
}

/************************** RATIOS ****************************/

void ratios(void)
{
    int n;
    for(n=1;n<cnt;n++) {
        if(flteq(number[n-1],0.0))
            do_stringout("INF\n");
        else
            do_valout(number[n]/number[n-1]);
    }
    fflush(stdout);
}

/******************************** RECIPROCALS ***********************/

void reciprocals(int positive_vals_only)
{
    int n;
    if(positive_vals_only) {
        for(n=0;n<cnt;n++) {
            if(number[n] < FLTERR) {
                fprintf(stdout,"ERROR: Invalid value %d (%lf) for this process\n",n+1,number[n]);
                fflush(stdout);
                exit(1);
            }
        }
    }
    for(n=0;n<cnt;n++) {
        switch(condit) {
        case(0):
            if(flteq(number[n],0.0)) {
                if(!sloom && !sloombatch)
                    fprintf(fp[1],"INFINITE\n");
                else if(sloombatch) {
                    fprintf(stdout,"INFINITE\n");
                    fflush(stdout);
                } else {
                    fprintf(stdout,"ERROR: Division by zero encountered (item %d) : Impossible\n",n+1);
                    fflush(stdout);
                    exit(1);
                }
            } else
                do_valout(factor/number[n]);
            break;
        case('>'):
            if(number[n]>thresh) {
                if(flteq(number[n],0.0)) {
                    if(!sloom && !sloombatch)
                        fprintf(fp[1],"INFINITE\n");
                    else if(sloombatch) {
                        fprintf(stdout,"INFINITE\n");
                        fflush(stdout);
                    } else {
                        fprintf(stdout,"ERROR: Division by zero encountered (item %d) : Impossible\n",n+1);
                        fflush(stdout);
                        exit(1);
                    }
                } else
                    do_valout(factor/number[n]);
            } else
                do_valout(number[n]);
            break;
        case('<'):
            if(number[n]<thresh) {
                if(flteq(number[n],0.0)) {
                    if(!sloom && !sloombatch)
                        fprintf(fp[1],"INFINITE\n");
                    else if(sloombatch) {
                        fprintf(stdout,"INFINITE\n");
                        fflush(stdout);
                    } else {
                        fprintf(stdout,"ERROR: Division by zero encountered (item %d) : Impossible\n",n+1);
                        fflush(stdout);
                        exit(1);
                    }
                } else
                    do_valout(factor/number[n]);
            } else
                do_valout(number[n]);
            break;
        }
    }
    fflush(stdout);
}

/****************************** RANDOMISE_ORDER *********************/

void randomise_order(int *perm)
{
    int n;
    randperm(perm,stringscnt);
    for(n=0;n<stringscnt;n++)
        do_stringout(strings[perm[n]]);
    fflush(stdout);
}

/****************************** RANDOMISE_ORDER *********************/

void randomise_Ntimes(int *perm)
{
    int n = 0, m, lastperm;
    for(m = 0;m< ifactor;m++) {
        if(n == 0)
            randperm(perm,stringscnt);
        else {
            lastperm = perm[stringscnt - 1];
            randperm(perm,stringscnt);
            while(perm[0] == lastperm)
                randperm(perm,stringscnt);
        }
        for(n=0;n<stringscnt;n++)
            do_stringout(strings[perm[n]]);
    }
    fflush(stdout);
}

/************************** ADD_RANDVAL_PLUS_OR_MINUS ********************/

void add_randval_plus_or_minus(void)
{
    int n;
    for(n=0;n<cnt;n++) {
        number[n] += ((drand48() * 2.0) - 1.0) * factor;
        do_valout(number[n]);
    }
    fflush(stdout);
}

/****************************** ADD_RANDVAL ***************************/

void add_randval(void)
{
    int n;
    for(n=0;n<cnt;n++) {
        number[n] += drand48() * factor;
        do_valout(number[n]);
    }
    fflush(stdout);
}

/************************ MULTIPLY_BY_RANDVAL ************************/

void multiply_by_randval(void)
{
    int n;
    for(n=0;n<cnt;n++) {
        number[n] *= drand48() * factor;
        do_valout(number[n]);
    }
    fflush(stdout);
}

/***************************** RANDCHUNKS ************************/

void randchunks(void)
{
    double sum = 0.0;
    double randrange = fabs(number[1] - number[0]);
    double minn = min(number[1],number[0]);
    while(sum<factor) {
        do_valout(sum);
        sum += (drand48() * randrange) + minn;
    }
    fflush(stdout);
}

/************************** GENERATE_RANDOM_VALUES ***********************/

void generate_random_values(void)
{
    double randrange = number[1] - number[0];
    int n;
    for(n=0;n<factor;n++)
        do_valout((drand48() * randrange) + number[0]);
    fflush(stdout);
}

/****************************** RANDOM_0S_AND_1S ********************/

void random_0s_and_1s(void)
{
    int n;
    double sum;
    int totcnt = (int)round(number[0]);
    for(n=0;n<totcnt;n++) {
        sum = drand48() * 2.0;
        if(sum>=1.0)
            do_stringout("1\n");
        else
            do_stringout("0\n");
    }
    fflush(stdout);
}

/****************************** RANDOM_PAIRS ********************/

void random_pairs(void)
{
    int n;
    double sum;
    int totcnt = (int)round(number[2]);
    char tempa[200];
    char tempb[200];
    sprintf(tempa,"%d",(int)round(number[0]));
    sprintf(tempb,"%d",(int)round(number[1]));
    for(n=0;n<totcnt;n++) {
        sum = drand48() * 2.0;
        if(sum>=1.0)
            do_stringout(tempb);
        else
            do_stringout(tempa);
    }
    fflush(stdout);
}

/****************************** RANDOM_0S_AND_1S_RESTRAINED ********************/

void random_0s_and_1s_restrained(void)
{
    int n, cnt0 = 0, cnt1 = 0;
    double sum;
    int totcnt = (int)round(number[0]);
    int limit  = (int)round(number[1]);
    for(n=0;n<totcnt;n++) {
        sum = drand48() * 2.0;
        if(sum>=1.0) {
            cnt1++;
            if(cnt1 <= limit) {
                do_stringout("1\n");
                cnt0 = 0;
            } else {
                do_stringout("0\n");
                cnt1 = 0;
                cnt0 = 1;
            }
        } else {
            cnt0++;
            if(cnt0 <= limit) {
                do_stringout("0\n");
                cnt1 = 0;
            } else {
                do_stringout("1\n");
                cnt0 = 0;
                cnt1 = 1;
            }
        }
    }
    fflush(stdout);
}

/****************************** RANDOM_PAIRS_RESTRAINED ********************/

void random_pairs_restrained(void)
{
    int n, cnt0 = 0, cnt1 = 0;
    double sum;
    int totcnt = (int)round(number[2]);
    int limit  = (int)round(number[3]);
    char tempa[200];
    char tempb[200];
    sprintf(tempa,"%d",(int)round(number[0]));
    sprintf(tempb,"%d",(int)round(number[1]));
    for(n=0;n<totcnt;n++) {
        sum = drand48() * 2.0;
        if(sum>=1.0) {
            cnt1++;
            if(cnt1 <= limit) {
                do_stringout(tempb);
                cnt0 = 0;
            } else {
                do_stringout(tempa);
                cnt1 = 0;
                cnt0 = 1;
            }
        } else {
            cnt0++;
            if(cnt0 <= limit) {
                do_stringout(tempa);
                cnt1 = 0;
            } else {
                do_stringout(tempb);
                cnt0 = 0;
                cnt1 = 1;
            }
        }
    }
    fflush(stdout);
}

/****************************** RANDOM_SCATTER **********************/

void random_scatter(void)
{
    int n;
    double dscatter;
    double *diffs = (double *)exmalloc((cnt-1)*sizeof(double));
    for(n=0;n<cnt-1;n++) {
        diffs[n] = number[n+1] - number[n];
        diffs[n] /= 2.0;
    }
    for(n=1;n<cnt-1;n++) {
        dscatter = ((drand48() * 2.0) - 1.0) * factor;
        if(dscatter > 0.0)
            number[n] += diffs[n] * dscatter;
        else
            number[n] += diffs[n-1] * dscatter;
    }
    print_numbers();
}

/************************** RANDOM_ELIMINATION ***********************/

void random_elimination(void)
{
    int n, m;
    for(n=0;n<ifactor;n++) {
        m = (int)(drand48() * cnt);     /* TRUNCATE */
        eliminate(m);
    }
    print_numbers();
}

/*************************** EQUAL_DIVISIONS ************************/

void equal_divisions(void)
{
    double interval = (number[1] - number[0])/factor;
    double sum = number[0];
    if(interval > 0.0) {
        while(sum<=number[1]) {
            do_valout(sum);
            sum += interval;
        }
    } else {
        while(sum>=number[1]) {
            do_valout(sum);
            sum += interval;
        }
    }
    fflush(stdout);
}

/************************* LOG_EQUAL_DIVISIONS ***********************/

void log_equal_divisions(void)
{
    double sum                = log(number[0]);
    double top        = log(number[1]);
    double interval = (top - sum)/factor;
    if(sum < top) {
        while(sum <= top - FLTERR) {
            do_valout(exp(sum));
            sum += interval;
        }

    } else {
        while(sum >= top + FLTERR) {
            do_valout(exp(sum));
            sum += interval;
        }
    }
    do_valout(number[1]);
    fflush(stdout);
}

/****************************** QUADRATIC_CURVE_STEPS ******************/

void quadratic_curve_steps(void)
{
    double sum, diff = number[1] - number[0];
    double step = fabs(1.0/(factor - 1.0));
    double thisstep = 0.0;
    int icnt = 0, i_factor = round(factor);
    if(diff>0.0)
        number[2] = 1.0/number[2];
    for(;;) {
        sum = pow(thisstep,number[2]);
        sum = (sum * diff) + number[0];
        do_valout(sum);
        if(++icnt >= i_factor)
            break;
        thisstep += step;
    }
    fflush(stdout);
}

/*************************** PLAIN_BOB ***************************/

void plain_bob(void)
{
    int n, m, k;
    for(n=0;n<cnt;n++)
        do_valout(number[n]);
    for(m=0;m<cnt-1;m++) {
        for(k=0;k<cnt-1;k++) {
            bellperm1();
            for(n=0;n<cnt;n++)
                do_valout(number[n]);
            bellperm2();
            for(n=0;n<cnt;n++)
                do_valout(number[n]);
        }
        bellperm1();
        for(n=0;n<cnt;n++)
            do_valout(number[n]);
        bellperm3();
        for(n=0;n<cnt;n++)
            do_valout(number[n]);
    }
    fflush(stdout);
}

/*********************** REPEAT_INTERVALS *************************/

void repeat_intervals(void)
{
    int n, m;
    double z, k;
    for(n=0;n<cnt-1;n++)
        do_valout(number[n]);
    z = k = number[n] - number[0];
    for(m=1;m<=ifactor;m++) {
        for(n=0;n<cnt-1;n++)    /*TW Feb 2005*/
            do_valout(number[n] + z);
        z += k;
    }
    fflush(stdout);
}

/************** MAKE_EQUAL_INTEVALS_BTWN_GIVEN_VALS ************/

void make_equal_intevals_btwn_given_vals(void)
{
    double top = number[1];
    double sum = number[0];

    if(factor > 0.0) {
        if(number[0] > number[1]) {
            top = number[0];
            sum = number[1];
        }
    } else {
        if(number[0] < number[1]) {
            top = number[0];
            sum = number[1];
        }
    }
    if(top >= sum ) {
        while(sum<=top) {
            do_valout(sum);
            sum += factor;
        }
    } else {
        while(sum>=top) {
            do_valout(sum);
            sum += factor;
        }
    }
    fflush(stdout);
}

/********************** CREATE_INTERVALS ***********************/

void create_intervals(void)
{
    int n;
    for(n=0;n<ifactor;n++) {
        do_valout(number[0] * n);
    }
    fflush(stdout);
}

/********************** CREATE_INTERVALS_FROM_BASE ***********************/

void create_intervals_from_base(void)
{
    int n;
    double sum = number[1];
    for(n=0;n<ifactor;n++) {
        do_valout(sum);
        sum += number[0];
    }
    fflush(stdout);
}

/********************** CREATE_RATIOS_FROM_BASE ***********************/

void create_ratios_from_base(void)
{
    int n;
    double sum = number[1];
    for(n=0;n<ifactor;n++) {
        do_valout(sum);
        if(sum > HUGE/2.0 || sum < -HUGE/2.0) {
            sprintf(errstr,"Calculation overflows.\n");
            do_error();
        }
        sum *= number[0];
    }
    fflush(stdout);
}

/********************** CREATE_EQUAL_STEPS ***********************/

void create_equal_steps(void)
{
    int n;
    double sum = number[0];
    double step = (number[1] - number[0])/((double)ifactor - 1.0);
    for(n=0;n<ifactor;n++) {
        do_valout(sum);
        sum += step;
    }
    fflush(stdout);
}

/********************** CREATE_EQUAL_VALS ***********************/

void create_equal_vals(void)
{
    int n;
    for(n=0;n<ifactor;n++) {
        do_valout(number[0]);
    }
    fflush(stdout);
}

/************************ CHANGE_VALUE_OF_INTERVALS ********************/

void change_value_of_intervals(void)
{
    double interval, sum = number[0];
    int n;
    for(n=1;n<cnt;n++) {
        do_valout(sum);
        switch(ro) {
        case('a'): interval=(number[n]-number[n-1])+factor; break;
        case('m'): interval=(number[n]-number[n-1])*factor; break;
        default:
            fprintf(stdout,"ERROR: Unkonwn case in change_value_of_intervals()\n");
            fflush(stdout);
            exit(1);
            break;
        }
        sum += interval;
    }
    do_valout(sum);
    fflush(stdout);
}

/******************** MOTIVICALLY_INVERT_MIDI **********************/

void motivically_invert_midi(void)
{
    double dfactor = 2.0 * number[0];
    int n;
    for(n=1;n<cnt;n++)
        number[n] = dfactor - number[n];
    print_numbers();
}

/********************** MOTIVICALLY_INVERT_HZ **********************/

void motivically_invert_hz(void)
{
    double dfactor;
    int n;
    if(flteq((dfactor = number[0] * number[0]),0.0)) {
        sprintf(errstr,"First frq is zero : can't proceed.\n");
        do_error();
    }
    for(n=1;n<cnt;n++)
        number[n] = dfactor/number[n];
    print_numbers();
}

/******************** GET_INTERMEDIATE_VALUES ************************/

void get_intermediate_values(void)
{
    int n;
    double d;
    for(n=1;n<cnt;n++) {
        d = (number[n] + number[n-1])/2.0;
        do_valout(d);
    }
    fflush(stdout);
}

/******************** INSERT_INTERMEDIATE_VALUES ************************/

void insert_intermediate_values(void)
{
    int n;
    double d;
    fprintf(stdout,"INFO: %lf\n",number[0]);
    for(n=1;n<cnt;n++) {
        d = (number[n] + number[n-1])/2.0;
        fprintf(stdout,"INFO: %lf\n",d);
        fprintf(stdout,"INFO: %lf\n",number[n]);
    }
    fflush(stdout);
}

/******************** INSERT_INTERMEDIATE_VALP ************************/

void insert_intermediate_valp(void)
{
    int n;
    double d;
    for(n=1;n<cnt;n+=2) {
        fprintf(stdout,"INFO: %lf\n",number[n-1]);
        d = (number[n] + number[n-1])/2.0;
        fprintf(stdout,"INFO: %lf\n",d);
        fprintf(stdout,"INFO: %lf\n",number[n]);
    }
    fflush(stdout);
}

/************************** GET_INTERVALS ***********************/

void get_intervals(void)
{
    int n;
    for(n=1;n<cnt;n++)
        do_valout(number[n]-number[n-1]);
    fflush(stdout);
}

/************************ GET_ONE_SKIP_N ************************/

void get_one_skip_n(void)
{
    int n = 0;
    ifactor = round(factor);
    if(ifactor < 1) {
        sprintf(errstr,"Invalid parameter (%d)\n",ifactor);
        do_error();
    }
    while(n<stringscnt) {
        do_stringout(strings[n++]);
        n += ifactor;
    }
    fflush(stdout);
}

/************************ GET_N_SKIP_ONE *************************/

void get_n_skip_one(void)
{
    int m, n = 0;
    int k, i_factor = round(factor);

    if(ifactor < 1) {
        sprintf(errstr,"Invalid parameter (%d)\n",i_factor);
        do_error();
    }
    while(n<stringscnt) {
        if((k = n + i_factor) >= stringscnt) {
            for(m=n;m<stringscnt;m++)
                do_stringout(strings[m]);
            break;
        }
        for(m=n;m<k;m++)
            do_stringout(strings[m]);
        n+= i_factor+1;
    }
    fflush(stdout);
}

/************************* SUM_NWISE **************************/

void sum_nwise(void)
{
    int n, m;
    ifactor = round(factor);
    /* RWD */
    if(ifactor > cnt) {
        sprintf(errstr,"group size (N) too large for infile\n");
        do_error();
    }
    for(n=0;n<=cnt-ifactor;n++) {   /*RWD: test was just < */
        for(m=1;m<ifactor;m++)
            number[n] += number[n+m];
        do_valout(number[n]);
    }
    fflush(stdout);
}

/************************* SUM_MINUS_OVERLAPS *********************/

void sum_minus_overlaps(void)
{
    int n;
    double sum = 0.0;
    for(n=0;n<cnt;n++)
        sum += number[n];
    sum -= (double)(cnt-1) * factor;
    do_valout_as_message(sum);
    fflush(stdout);
}

/******************** SUM_ABSOLUTE_DIFFERENCES ********************/

void sum_absolute_differences(void)
{
    int n;
    double sum = 0.0;
    for(n=1;n<cnt;n++)
        sum += fabs(number[n] - number[n-1]);
    sum -= (double)(cnt-1) * factor;
    do_valout_as_message(sum);
    fflush(stdout);
}

/**************************** STACK ***************************/

void stack(int with_last)
{
    int n;
    double sum = 0.0;
    for(n=0;n<cnt;n++) {
        do_valout(sum);
        sum += number[n] - factor;
    }
    if(with_last) {
        sum += factor;
        do_valout(sum);
    }
    fflush(stdout);
}

/*********************** DUPLICATE_VALUES **************************/

void duplicate_values(void)
{
    int n, m;
    for(n=0;n<stringscnt;n++) {
        for(m=0;m<ifactor;m++)
            do_stringout(strings[n]);
    }
    fflush(stdout);
}

/*********************** DUPLICATE_VALUES_STEPPED **************************/

void duplicate_values_stepped(void)
{
    int n, m;
    double step = number[cnt+1];
    double offset = 0.0;
    ifactor = round(number[cnt]);
    for(m=0;m<ifactor;m++) {
        for(n=0;n<cnt;n++)
            fprintf(stdout,"INFO: %lf\n",number[n] + offset);
        offset += step;
    }
    fflush(stdout);
}
/**************************** DUPLICATE_LIST **********************/

void duplicate_list(void)
{
    int n, m;
    for(m=0;m<ifactor;m++) {
        for(n=0;n<stringscnt;n++)
            do_stringout(strings[n]);
    }
    fflush(stdout);
}

/****************************** FORMAT_VALS ****************************/

void format_vals(void)
{ /*RWD new Format option : recast by TW */
    int n, m, OK = 1;
    double d = (double)cnt/(double)ifactor;
    int rowcnt = cnt/ifactor;
    char ctemp[64];

    errstr[0] = ENDOFSTR;
    if(d > (double)rowcnt)
        rowcnt++;
    if((rowcnt > 82) && sloom) {
        sprintf(errstr,"Too many (%d) rows to handle",rowcnt);
        do_error();
    }
    for(n=0;n<cnt;n+=rowcnt) {
        for(m=0;m<rowcnt;m++) {
            if(!sloom && !sloombatch) {
                if(n!=0 && m==0)
                    fprintf(fp[1],"\n");
                if(n+m < cnt)
                    fprintf(fp[1],"%.5lf ",number[n+m]);
                else
                    OK = 0;
            } else {
                if(n!=0 && m==0) {
                    fprintf(stdout,"INFO: %s\n",errstr);
                    errstr[0] = ENDOFSTR;
                }
                if(n+m < cnt) {
                    sprintf(temp,"%.5lf ",number[n+m]);
                    strcat(errstr,ctemp);
                } else
                    OK = 0;
            }
        }
        if(!OK)
            break;
    }
    if(!sloom && !sloombatch)
        fprintf(fp[1],"\n");
    else
        fprintf(stdout,"INFO: %s\n",errstr);
    fflush(stdout);
}


/****************************** COLUMN_FORMAT_VALS ****************************/

void column_format_vals(void)
{       int n, m;

    double d = (double)cnt/(double)ifactor;
    int rowcnt = cnt/ifactor;
    char ctemp[64];
    errstr[0] = ENDOFSTR;
    if(d > (double)rowcnt)
        rowcnt++;
    for(n=0;n<rowcnt;n++) {
        for(m=n;m<cnt;m+=rowcnt) {
            if(!sloom && !sloombatch)
                fprintf(fp[1],"%.5lf ",number[m]);
            else {
                sprintf(temp,"%.5lf ",number[m]);
                strcat(errstr,ctemp);
            }
        }
        if(!sloom && !sloombatch)
            fprintf(fp[1],"\n");
        else {
            fprintf(stdout,"INFO: %s\n",errstr);
            errstr[0] = ENDOFSTR;
        }
    }
    fflush(stdout);
}


/************************ INTERVAL_LIMIT() ********************/

void interval_limit(void)
{
    double interval, sum = number[0];
    int n;
    do_valout(sum);
    for(n=1;n<cnt;n++) {
        interval=number[n]-number[n-1];
        switch(ro) {
        case('l'): interval = max(interval,factor);     break;
        case('L'): interval = min(interval,factor);     break;
        }
        sum += interval;
        do_valout(sum);
    }
    fflush(stdout);
}

/********************************** TIME_DENSITY ******************************/

void time_density(void)
{
    int n, m = 0, k, ended = 0;
    double min_endtime, *endtime = (double *)exmalloc(ifactor * sizeof(double));
    for(n=0;n<ifactor;n++)
        endtime[n] = 0.0;
    min_endtime = 0.0;
    for(;;) {
        for(n=0;n<ifactor;n++) {
            if(flteq(endtime[n],min_endtime)) {
                do_valout(endtime[n]);
                endtime[n] += number[m];
                if(++m >= cnt) {
                    ended = 1;
                    break;
                }
                min_endtime = endtime[n];
                for(k=0;k<ifactor;k++) {
                    if(endtime[k] < min_endtime)
                        min_endtime = endtime[k];
                }
            }
        }
        if(ended)
            break;
    }
    fflush(stdout);
}

/********************************** DIVIDE_LIST ******************************/

void divide_list(void)
{
    int n;
    for(n=0;n<cnt;n++) {
        switch(condit) {
        case(0):
            number[n] /= factor;
            break;
        case('>'):
            if(number[n]>thresh)
                number[n] /= factor;
            break;
        case('<'):
            if(number[n]<thresh)
                number[n] /= factor;
            break;
        }
        do_valout(number[n]);
    }
    fflush(stdout);
}

/********************************** GROUP ******************************/

void group(void)
{
    int n, m = 0;
    while(m < ifactor) {
        for(n=m;n<stringscnt;n+=ifactor) {
            do_stringout(strings[n]);
        }
        if(!sloom && !sloombatch)
            fprintf(fp[1],"\n");
        m++;
    }
    fflush(stdout);
}

/********************************** DUPLICATE_OCTAVES ******************************/

void duplicate_octaves(void)
{
    int n, m;
    double d;
    for(n=0;n<cnt;n++)
        do_valout(number[n]);
    for(m=1;m<=ifactor;m++) {
        d = 12.0 * m;
        for(n=0;n<cnt;n++)
            do_valout(number[n] + d);
    }
    fflush(stdout);
}

/********************************** DUPLICATE_OCTFRQ ******************************/

void duplicate_octfrq(void)
{
    int n, m;
    double d;
    for(n=0;n<cnt;n++)
        do_valout(number[n]);
    for(m=1;m<=ifactor;m++) {
        d = pow(2.0,(double)m);
        for(n=0;n<cnt;n++)
            do_valout(number[n] * d);
    }
    fflush(stdout);
}

/********************************** INTERVAL_TO_RATIO ******************************/

void interval_to_ratio(int semitones,int tstretch)
{
    int n;
    double bum = 0.0;
    for(n=0;n<cnt;n++) {
        if(semitones) {
            bum = number[n];
            number[n] /= 12.0;
        }
        if(fabs(number[n]) > MAXOCTTRANS) {
            if(!semitones)
                bum = number[n];
            sprintf(errstr,"Item %d (%lf) is too large or small to convert.\n",n+1,bum);
            do_error();
        }
    }
    for(n=0;n<cnt;n++) {
        number[n] = pow(2.0,number[n]);
        if(tstretch)
            number[n] = 1.0/number[n];
        do_valout(number[n]);
    }
    fflush(stdout);
}

/********************************** RATIO_TO_INTERVAL ******************************/

void ratio_to_interval(int semitones,int tstretch)
{
    int n;
    for(n=0;n<cnt;n++) {
        if(number[n] < FLTERR) {
            fprintf(stdout,"ERROR: ratio %d (%lf) is too small or an impossible (negative) value.\n",n+1,number[n]);
            fflush(stdout);
            exit(1);
        }
        if(tstretch)
            number[n] = 1.0/number[n];
    }
    for(n=0;n<cnt;n++) {
        number[n] = log(number[n]) * ONE_OVER_LN2;
        if(semitones)
            number[n] *= 12.0;
        fprintf(stdout,"INFO: %lf\n",number[n]);
    }
    fflush(stdout);
}

/********************************** DO_SLOPE ******************************/

void do_slope(void)
{
    int n;
    double ddiff;
    do_valout(number[0]);
    for(n=1;n<cnt;n++) {
        ddiff = number[n] - number[0];
        ddiff *= factor;
        number[n] = number[0] + ddiff;
        do_valout(number[n]);
    }
    fflush(stdout);
}


/********************************** ALPHABETIC_SORT ******************************/

void alphabetic_sort(void)
{
    int n,m;
    char tempp[200],*p;
    for(n=1;n<stringscnt;n++)  {
        p =  strings[n];
        strcpy(tempp,strings[n]);
        m = n-1;
        while(m >= 0 && alphabetical_order(tempp,strings[m])) {
            strings[m+1] = strings[m];
            m--;
        }
        strings[m+1] = p;
    }
    for(n=0;n<stringscnt;n++)
        do_stringout(strings[n]);
    fflush(stdout);
}

/******************************* ALPHABETICAL_ORDER **************************/

#define UPPERCASE(x)  ((x) >= 'A' && (x) < 'Z')


int alphabetical_order(char *str1,char *str2)
{
    char p, q;
    int n,m;
    int j = strlen(str1);
    int k = strlen(str2);
    m = min(j,k);
    for(n=0;n<m;n++) {
        p = str1[n];
        q = str2[n];
        if(UPPERCASE(p))          p += 32;
        if(UPPERCASE(q))          q += 32;
        if(p > q)       return(0);
        if(p < q)       return(1);
    }
    if(k<j)
        return(0);
    return(1);
}

/********************************** LEVEL_TO_DB ******************************/

void level_to_db(int sampleval)
{
    int n;
    for(n=0;n<cnt;n++) {
        if(sampleval)
            number[n] /= (double)MAXSAMP;
        number[n] = leveltodb(number[n],n);
        sprintf(errstr,"%lfdB\n",number[n]);
        do_stringout(errstr);
    }
    fflush(stdout);
}

/********************************** DB_TO_LEVEL ******************************/

void db_to_level(int sampleval)
{
    int n;
    for(n=0;n<cnt;n++) {
        number[n] = dbtolevel(number[n]);
        if(sampleval)
            number[n] *= (double)MAXSAMP;
        do_valout(number[n]);
    }
    fflush(stdout);
}

/******************************** LEVELTODB ***********************/

double leveltodb(double val,int n)
{

    if(val <= 0.0) {
        sprintf(errstr,"Gain value %d <= 0.0: Cannot proceed\n",n+1);
        do_error();
    }
    val = log10(val);
    val *= 20.0;
    return(val);
}

/******************************** DBTOLEVEL ***********************/

double dbtolevel(double val)
{
    int isneg = 0;
    if(flteq(val,0.0))
        return(1.0);
    if(val < 0.0) {
        val = -val;
        isneg = 1;
    }
    val /= 20.0;
    val = pow(10.0,val);
    if(isneg)
        val = 1.0/val;
    return(val);
}

/******************************** COLUMNATE ***********************/

void columnate(void)
{
    int n;
    for(n=0;n<cnt;n++)
        do_valout(number[n]);
    fflush(stdout);
}

/******************************** SAMP_TO_TIME ***********************/

void samp_to_time(void)
{
    int n;
    double inv_sr = 1.0/(double)ifactor;
    for(n=0;n<cnt;n++)
        do_valout(number[n] * inv_sr);
    fflush(stdout);
}

/******************************** TIME_TO_SAMP ***********************/

void time_to_samp(void)
{
    int n;
    for(n=0;n<cnt;n++) {
        do_valout(number[n] * (double)ifactor);
    }
    fflush(stdout);
}

/******************************** DELETE_SMALL_INTERVALS ***********************/

void delete_small_intervals(void)
{
    int n, m;
    int start = 1, end = 1, shrink;
    double diff;
    for(n=1;n<cnt;n++) {
        if((diff = number[n] - number[n-1]) < 0) {
            fprintf(stdout,"WARNING: Numbers must be in ascending order for this option.\n");
            fflush(stdout);
            exit(1);
        }
        if(diff <= factor)
            end++;
        else {
            if((shrink = (end - start))) {
                for(m = n-1;m < cnt; m++)
                    number[m-shrink] = number[m];
                end = start;
                cnt -= shrink;
                n -= shrink;
            }
            start++;
            end++;
        }
    }
    for(n=0;n<cnt;n++)
        do_valout(number[n]);
    fflush(stdout);
}

/******************************** MARK_EVENT_GROUPS ***********************/

void mark_event_groups(void)
{
    int n, m;
    int start = 1, end = 1, shrink;
    int orig_cnt = cnt;
    double diff;
    for(n=1;n<cnt;n++) {
        if((diff = number[n] - number[n-1]) < 0) {
            fprintf(stdout,"WARNING: Numbers must be in ascending order for this option.\n");
            fflush(stdout);
            exit(1);
        }
        if(diff <= factor) {
            end++;
        } else {
            shrink = end - start;
            switch(shrink) {
            case(1):                        /* 2 in group, preserve */
                start++;
                break;
            case(0):                        /* 1 isolated point, duplicate */
                cnt++;
                if(cnt > orig_cnt) {
                    if((number = (double *)realloc((char *)number,cnt * sizeof(double)))==NULL) {
                        fprintf(stdout,"WARNING: Out of memory for storing numbers.\n");
                        fflush(stdout);
                        exit(1);
                    }
                    orig_cnt = cnt;
                }
                for(m = cnt-1; m >= n; m--)
                    number[m] = number[m-1];
                n++;
                start++;
                end++;
                break;
            default:                        /* >2 in group, bracket */
                shrink--;
                for(m = n-1;m < cnt; m++)
                    number[m-shrink] = number[m];
                end = start;
                cnt -= shrink;
                n -= shrink;
                break;
            }
            start++;
            end++;
        }
    }
    shrink = end - start;
    switch(shrink) {
    case(0):
        cnt++;
        if(cnt > orig_cnt) {
            if((number = (double *)realloc((char *)number,cnt * sizeof(double)))==NULL) {
                fprintf(stdout,"WARNING: Out of memory for storing numbers.\n");
                fflush(stdout);
                exit(1);
            }
        }
        for(m = cnt-1; m >= n; m--)
            number[m] = number[m-1];
        break;
    case(1):
        break;
    default:
        shrink--;
        for(m = n-1;m < cnt; m++)
            number[m-shrink] = number[m];
        cnt -= shrink;
        break;
    }
    for(n=0;n<cnt;n++)
        do_valout(number[n]);
    fflush(stdout);
}

/******************************** SPANPAIR ***********************
 *
 * span pairs of values.
 */

void spanpair(void)
{
    int n, m, is_even = 1;
    int cnt2 = cnt * 2;
    if(cnt & 1) {
        fprintf(stdout,"WARNING: This process only works on an even number of values.\n");
        fflush(stdout);
        exit(1);
    }
    if((number = (double *)realloc((char *)number,cnt2 * sizeof(double)))==NULL) {
        fprintf(stdout,"WARNING: Out of memory for storing numbers.\n");
        fflush(stdout);
        exit(1);
    }
    m = cnt2-1;
    for(n=cnt-1;n>=0;n--) {
        if(number[n] < 0.0) {
            fprintf(stdout,"WARNING: No negative numbers allowed in this option.\n");
            fflush(stdout);
            exit(1);
        }
        if(is_even) {
            number[m--] = number[n] + factor + thresh;
            number[m--] = number[n] + factor;
        } else {
            number[m--] = number[n];
            number[m--] = max(number[n] - thresh, 0.0);
        }
        is_even = !is_even;
    }
    for(n=0;n<cnt2;n++)
        do_valout(number[n]);
    fflush(stdout);
}

/******************************** SPAN ***********************
 *
 * span single values with a pair.
 */

void span(void)
{
    int n, m;
    int cnt2 = cnt * 4;
    if((number = (double *)realloc((char *)number,cnt2 * sizeof(double)))==NULL) {
        fprintf(stdout,"WARNING: Out of memory for storing numbers.\n");
        fflush(stdout);
        exit(1);
    }
    m = cnt2-1;
    for(n=cnt-1;n>=0;n--) {
        if(number[n] < 0.0) {
            fprintf(stdout,"WARNING: No negative numbers allowed in this option.\n");
            fflush(stdout);
            exit(1);
        }
        number[m--] = number[n] + factor + thresh;
        number[m--] = number[n] + factor;
        number[m--] = number[n];
        number[m--] = max(number[n] - thresh, 0.0);
    }
    for(n=0;n<cnt2;n++)
        do_valout(number[n]);
    fflush(stdout);
}

/******************************** SPAN_XALL ***********************
 *
 * span single values.
 */

void span_xall(void)
{
    int n, m;
    int cnt2 = cnt * 3;
    if((number = (double *)realloc((char *)number,cnt2 * sizeof(double)))==NULL) {
        fprintf(stdout,"WARNING: Out of memory for storing numbers.\n");
        fflush(stdout);
        exit(1);
    }
    m = cnt2-1;
    for(n=cnt-1;n>=0;n--) {
        if(number[n] < 0.0) {
            fprintf(stdout,"WARNING: No negative numbers allowed in this option.\n");
            fflush(stdout);
            exit(1);
        }
        number[m--] = number[n] + thresh;
        number[m--] = number[n];
        number[m--] = max(number[n] - thresh, 0.0);
    }
    for(n=0;n<cnt2;n++)
        do_valout(number[n]);
    fflush(stdout);
}

/******************************** ALTERNATION PATTERNS ***********************/

void alt0101(void) {
    int n;
    for(n=0;n<cnt;n++)
        fprintf(stdout,"INFO: %lf\n",number[n & 1]);
    fflush(stdout);
}

void alt0011(void) {
    int n;
    for(n=0;n<cnt;n++)
        fprintf(stdout,"INFO: %lf\n",number[n & 2]);
    fflush(stdout);
}

void alt01100(void) {
    int n;
    fprintf(stdout,"INFO: %lf\n",number[0]);
    cnt--;
    for(n=0;n<cnt;n++)
        fprintf(stdout,"INFO: %lf\n",number[!(n & 2)]);
    fflush(stdout);
}

void alt0r0r(void) {
    int n;
    double rrange = number[2] - number[1];
    for(n=0;n<cnt;n++) {
        if(n & 1) {
            fprintf(stdout,"INFO: %lf\n",(drand48() * rrange) + number[1]);
        } else {
            fprintf(stdout,"INFO: %lf\n",number[0]);
        }
    }
    fflush(stdout);
}

void altr0r0(void) {
    int n;
    double rrange = number[2] - number[1];
    for(n=0;n<cnt;n++) {
        if(n & 1) {
            fprintf(stdout,"INFO: %lf\n",number[0]);
        } else {
            fprintf(stdout,"INFO: %lf\n",(drand48() * rrange) + number[1]);
        }
    }
    fflush(stdout);
}

void altrr00(void) {
    int n;
    double rrange = number[2] - number[1];
    for(n=0;n<cnt;n++) {
        if(n & 2) {
            fprintf(stdout,"INFO: %lf\n",number[0]);
        } else {
            fprintf(stdout,"INFO: %lf\n",(drand48() * rrange) + number[1]);
        }
    }
    fflush(stdout);
}

void alt00rr(void) {
    int n;
    double rrange = number[2] - number[1];
    for(n=0;n<cnt;n++) {
        if(n & 2) {
            fprintf(stdout,"INFO: %lf\n",(drand48() * rrange) + number[1]);
        } else {
            fprintf(stdout,"INFO: %lf\n",number[0]);
        }
    }
    fflush(stdout);
}

void alt0rr00r(void) {
    int n;
    double rrange = number[2] - number[1];
    fprintf(stdout,"INFO: %lf\n",number[0]);
    cnt--;
    for(n=0;n<cnt;n++) {
        if(n & 2) {
            fprintf(stdout,"INFO: %lf\n",number[0]);
        } else {
            fprintf(stdout,"INFO: %lf\n",(drand48() * rrange) + number[1]);
        }
    }
    fflush(stdout);
}

void altr00rr0(void) {
    int n;
    double rrange = number[2] - number[1];
    fprintf(stdout,"INFO: %lf\n",(drand48() * rrange) + number[1]);
    cnt--;
    for(n=0;n<cnt;n++) {
        if(n & 2) {
            fprintf(stdout,"INFO: %lf\n",(drand48() * rrange) + number[1]);
        } else {
            fprintf(stdout,"INFO: %lf\n",number[0]);
        }
    }
    fflush(stdout);
}

void altRR00(void) {
    int n;
    double k = 0.0;
    double rrange = number[2] - number[1];
    for(n=0;n<cnt;n++) {
        if(n & 2) {
            fprintf(stdout,"INFO: %lf\n",number[0]);
        } else {
            if (!(n & 1)) {
                k = (drand48() * rrange) + number[1];
            }
            fprintf(stdout,"INFO: %lf\n",k);
        }
    }
    fflush(stdout);
}

void alt00RR(void) {
    int n;
    double k = 0.0;
    double rrange = number[2] - number[1];
    for(n=0;n<cnt;n++) {
        if(n & 2) {
            if (!(n & 1)) {
                k = (drand48() * rrange) + number[1];
            }
            fprintf(stdout,"INFO: %lf\n",k);
        } else {
            fprintf(stdout,"INFO: %lf\n",number[0]);
        }
    }
    fflush(stdout);
}

void alt0RR00R(void) {
    int n;
    double k = 0.0;
    double rrange = number[2] - number[1];
    fprintf(stdout,"INFO: %lf\n",number[0]);
    cnt--;
    for(n=0;n<cnt;n++) {
        if(n & 2) {
            fprintf(stdout,"INFO: %lf\n",number[0]);
        } else {
            if (!(n & 1)) {
                k = (drand48() * rrange) + number[1];
            }
            fprintf(stdout,"INFO: %lf\n",k);
        }
    }
    fflush(stdout);
}

void altR00RR0(void) {
    int n;
    double k = 0.0;
    double rrange = number[2] - number[1];
    fprintf(stdout,"INFO: %lf\n",(drand48() * rrange) + number[1]);
    cnt--;
    for(n=0;n<cnt;n++) {
        if(n & 2) {
            if (!(n & 1)) {
                k = (drand48() * rrange) + number[1];
            }
            fprintf(stdout,"INFO: %lf\n",k);
        } else {
            fprintf(stdout,"INFO: %lf\n",number[0]);
        }
    }
    fflush(stdout);
}

/******************************** CHECK FOR ASCENDING_ORDER ***********************/

void ascending_order(void) {
    int n, OK = 1;
    for(n=1;n<cnt;n++) {
        if(number[n] <= number[n-1]) {
            OK = 0;
            break;
        }
    }
    if(!sloom && !sloombatch) {
        if(OK)
            fprintf(stdout, "sequence is in ascending order.");
        else
            fprintf(stdout, "sequence is NOT in ascending order at item %d (%lf)",n+1,number[n]);
    } else {
        if(OK)
            fprintf(stdout, "WARNING: sequence is in ascending order.");
        else
            fprintf(stdout, "WARNING: sequence is NOT in ascending order at item %d (%lf)",n+1,number[n]);
    }
    fflush(stdout);
}

/******************************** EDIT INDIVIDUAL VALUES ***********************/

void delete_vals(void) {
    int n, m, k = (int)factor;
    if(k < ifactor) {
        n = ifactor;
        ifactor = k;
        k = n;
    }
    k = min(k,cnt);
    if(k < cnt) {
        for(n=ifactor-1,m=k;m<cnt;m++,n++)
            number[n] = number[m];
        cnt -= (k - ifactor + 1);
    } else {
        cnt = ifactor-1;
    }
    for(n=0;n<cnt;n++)
        fprintf(stdout,"INFO: %lf\n",number[n]);
    fflush(stdout);
}

void replace_val(void) {
    int n;
    number[ifactor-1] = factor;
    for(n=0;n<cnt;n++)
        fprintf(stdout,"INFO: %lf\n",number[n]);
    fflush(stdout);
}

void insert_val(void) {                 /* NB we have already malloced the extra space required */
    int n;
    ifactor--;
    if(ifactor < cnt) {
        for(n = cnt;n >= ifactor; n--)
            number[n] = number[n-1];
    }
    number[ifactor] = factor;
    cnt++;
    for(n=0;n<cnt;n++)
        fprintf(stdout,"INFO: %lf\n",number[n]);
    fflush(stdout);
}

/*************************** QUANTISED_SCATTER *******************************
 *
 *      number[0] = quantisation;
 *      number[1] = duration;
 *      number[2] = scatter;
 */

void quantised_scatter(int *perm,int permlen)
{
    int n, m, here, k, q_per_step, q_scat, q_hscat, total_q, iscat;
    double quantisation = number[0], dur = number[1], scat = number[2];
    total_q = (int)floor(dur/quantisation) + 1;
    q_per_step = (int)ceil(total_q/(cnt-1));
    n = 0;
    number[n++] = 0.0;
    if(scat <= 1.0)  {
        q_scat = (int)round(q_per_step * scat);
        q_hscat = q_scat/2;
        here = q_per_step;
        while(n < cnt) {
            k = (int)floor(drand48() * (double)q_scat) - q_hscat;
            number[n++] = here + k;
            here += q_per_step;
        }
    } else {
        iscat = round(scat);
        q_per_step *= iscat;
        here = 0;
        while(n < cnt) {
            randperm(perm,permlen);                         /* permute the next group of quantisation cells */
            ascending_sort_cells(perm,iscat);       /* sort the first 'iscat' into ascending order */

            for(m=0;m<iscat;m++)
                perm[m]++;                                              /*      change range to range 1 to N, rather than 0 to N-1 */
            for(m=0;m<iscat;m++) {                          /* position items above base-cellcnt */
                number[n] = here + perm[m];
                if(++n >= cnt)
                    break;
            }
            here += q_per_step;
        }
        free(perm);
    }
    for(n=0;n<cnt;n++)
        number[n] *= quantisation;
    print_numbers();
}

/*************************** RANDPERM *******************************
 *
 * Produce a random permutation of k integers.
 */

void randperm(int *perm,int permlen)
{
    int n, t;
    for(n=0;n<permlen;n++) {
        t = (int)floor(drand48() * (n+1));
        if(t==n) {
            hprefix(n,perm,permlen);
        } else {
            hinsert(n,t,perm,permlen);
        }
    }
}

void hinsert(int m,int t,int *perm,int permlen)
{
    hshuflup(t+1,perm,permlen);
    perm[t+1] = m;
}

void hprefix(int m,int *perm,int permlen)
{
    hshuflup(0,perm,permlen);
    perm[0] = m;
}

void hshuflup(int k,int *perm,int permlen)
{
    int n, *i;
    int z = permlen - 1;
    i = perm+z;
    for(n = z;n > k;n--) {
        *i = *(i-1);
        i--;
    }
}

void ascending_sort_cells(int *perm,int ccnt)
{
    int n, m, sct;
    for(n=0;n<(ccnt-1);n++) {
        for(m=n+1;m<ccnt;m++) {
            if(*(perm+m) < *(perm+n)) {
                sct       = *(perm+m);
                *(perm+m) = *(perm+n);
                *(perm+n) = sct;
            }
        }
    }
}

/************* REPLACING VALUES EQUAL TO > OR < A GIVEN VAL ****************/

void replace_equal(void) {
    int n;
    double maxe = number[cnt] + FLTERR;
    double mine = number[cnt] - FLTERR;
    double replace = number[cnt+1];
    for(n=0;n<cnt;n++) {
        if((number[n] < maxe) && (number[n] > mine))
            number[n] = replace;
        fprintf(stdout,"INFO: %lf\n",number[n]);
    }
    fflush(stdout);
}

void replace_less(void) {
    int n;
    double mine = number[cnt];
    double replace = number[cnt+1];
    for(n=0;n<cnt;n++) {
        if(number[n] < mine)
            number[n] = replace;
        fprintf(stdout,"INFO: %lf\n",number[n]);
    }
    fflush(stdout);
}

void replace_greater(void) {
    int n;
    double maxe = number[cnt];
    double replace = number[cnt+1];
    for(n=0;n<cnt;n++) {
        if(number[n] > maxe)
            number[n] = replace;
        fprintf(stdout,"INFO: %lf\n",number[n]);
    }
    fflush(stdout);
}

/*************************** GAPPED QUANTISED GRIDS *************************/

void grid(int is_outside)
{
    int n, k, tot;
    double quant = number[cnt], sum, dogrid = 0;
    if(quant <= .001) {
        fprintf(stdout,"ERROR: Quantisation step too small.\n");
        fflush(stdout);
        return;
    } else if((tot = (int)ceil(number[cnt-1]/quant)) > 10000) {
        fprintf(stdout,"ERROR: Quantisation too small, relative to total duration.\n");
        fflush(stdout);
        return;
    } else if(tot < 2) {
        fprintf(stdout,"ERROR: Quantisation too large, relative to total duration.\n");
        fflush(stdout);
        return;
    }
    if((permm = (double *)malloc(tot * sizeof(double))) == NULL) {
        fprintf(stdout,"ERROR: Out of memory.\n");
        fflush(stdout);
        return;
    }
    if(is_outside)
        dogrid = 1;
    n = 0;
    k = 0;
    sum = 0.0;
    while(n < cnt) {
        if(dogrid) {
            while(sum < number[n]) {
                permm[k++] = sum;
                sum += quant;
            }
        } else {
            while(sum < number[n])
                sum += quant;
        }
        dogrid = !dogrid;
        n++;
    }
    for(n=0;n<k;n++)
        fprintf(stdout,"INFO: %lf\n",permm[n]);
    fflush(stdout);
}

/****** DELETE N VALS AT RANDOM : NOT MORE THAN M ADJACENT VALS DELETED : NOT MORE THAN K ADJACENT VALS UNDELETED ******/

void randdel_not_adjacent(void)
{
    int adj, gap, sum, i, j, k, n, z;
    int delitems, keptitems, keepset_cnt, delset_cnt;
    int *vacuum, *box, *boxcnt, *box_assocd_with_cntr_no, *cntr_assocd_with_box_no;
    int remainder, unfilled_boxes, inverted = 0;
    delitems = round(number[cnt]);  /* number of items to delete */
    adj     = round(number[cnt+1]);         /* max no of adjacent items to delete */
    gap     = round(number[cnt+2]);         /* max no of adjacent non-deleted items */

    if(delitems >= cnt) {
        fprintf(stdout,"ERROR: This will delete the whole column.");
        fflush(stdout);
        return;
    }
    if(delitems < 1) {
        fprintf(stdout,"ERROR: Must delete 1 or more items.");
        fflush(stdout);
        return;
    }


    if(delitems > cnt/2) {
        /* Invert the algorithm */
        inverted = 1;
        keptitems = delitems;
        delitems = cnt - keptitems;
        k = adj;
        adj = gap;
        gap = k;
    } else {
        keptitems = cnt - delitems;
    }
    if((vacuum = (int *)malloc(delitems * sizeof(int)))==NULL) {
        fprintf(stdout,"ERROR: Out of memory.\n");
        fflush(stdout);
        return;
    }
    delset_cnt = 0;
    sum = 0;
    while(sum < delitems-1) {                               /* generating deletable groups of random sizes */
        k = (int)floor(drand48()*adj) + 1;      /* within range set by 'adj' */
        if((sum+k) > delitems-1)                        /* once enough items deleted, break */
            break;
        else {
            vacuum[delset_cnt++] = k;               /* otherwise store the size of deletable group */
            sum += k;
        }
    }
    if(sum < delitems)                                              /* fix the size of final deletable group, to make deleted total correct */
        vacuum[delset_cnt++] = delitems - sum;

    if((vacuum = (int *)realloc((char *)vacuum,delset_cnt * sizeof(int)))==NULL) {
        fprintf(stdout,"ERROR: Memory reallocation error.\n");
        fflush(stdout);
        return;
    }

    if(delset_cnt > keptitems) {                    /* must be as many kept items as deleted groups, to separate those groups */
        fprintf(stdout,"ERROR: Not enough undeleted items remaining to complete the task.\n");
        fflush(stdout);
        return;
    } else if(delset_cnt == keptitems) {    /* exactly as many keptitems as deleted groups, they must alternate */
        j = 0;
        n = 0;
        i = (int)floor(drand48() * 2.0);        /* select at random whether to start with deletes or not */
        if(inverted) {
            if(i) {                                                         /* and either ... */
                while(j < delset_cnt) {
                    for(k=0;k<vacuum[j];k++) {      /* print x items */
                        fprintf(stdout,"INFO: %lf\n",number[n]);
                        if(++n > cnt) {
                            fprintf(stdout,"ERROR: Program anomaly in counting data. 6\n");
                            break;
                        }
                    }                                                       /* then skip 1 */
                    if(++n > cnt) {
                        fprintf(stdout,"ERROR: Program anomaly in counting data. 7\n");
                        break;
                    }
                    j++;
                }
                fflush(stdout);
                return;
            } else {                                                        /* or .... */
                while(j < delset_cnt) {                 /* skip 1 */
                    if(++n > cnt) {
                        fprintf(stdout,"ERROR: Program anomaly in counting data. 8\n");
                        break;
                    }
                    for(k=0;k<vacuum[j];k++) {      /* then print x items */
                        fprintf(stdout,"INFO: %lf\n",number[n]);
                        if(++n > cnt) {
                            fprintf(stdout,"ERROR: Program anomaly in counting data. 9\n");
                            break;
                        }
                    }
                    j++;
                }
                fflush(stdout);
                return;
            }
        } else {
            if(i) {                                                         /* and either ... */
                while(j < delset_cnt) {
                    for(k=0;k<vacuum[j];k++) {      /* skip x items */
                        if(++n > cnt) {
                            fprintf(stdout,"ERROR: Program anomaly in counting data. 10\n");
                            break;
                        }
                    }                                                       /* then print 1 */
                    fprintf(stdout,"INFO: %lf\n",number[n]);
                    if(++n > cnt) {
                        fprintf(stdout,"ERROR: Program anomaly in counting data. 11\n");
                        break;
                    }
                    j++;
                }
                fflush(stdout);
                return;
            } else {                                                        /* or .... */
                while(j < delset_cnt) {                 /* print 1 */
                    fprintf(stdout,"INFO: %lf\n",number[n]);
                    if(++n > cnt) {
                        fprintf(stdout,"ERROR: Program anomaly in counting data. 12\n");
                        break;
                    }
                    for(k=0;k<vacuum[j];k++) {      /* then skip x items */
                        if(++n > cnt) {
                            fprintf(stdout,"ERROR: Program anomaly in counting data. 13\n");
                            break;
                        }
                    }
                    j++;
                }
                fflush(stdout);
                return;
            }
        }
    }
    keepset_cnt = delset_cnt+1;                             /* otherwise, let there be 1 more sets of kept items then of deleted items */
    /* This is an aesthetic, choice.. there could be an equal number */
    if(( k = (int)ceil((double)keptitems/(double)keepset_cnt)) > gap) {
        gap = k + 1;                                            /* if min-size of largest kept group is > gap, can't use gap value */
        fprintf(stdout,"ERROR: Intergap distance incompatible with other demands. Adjusting to %d.\n",gap);
        fflush(stdout);
    }
    if(((box         = (int *)malloc(keepset_cnt * sizeof(int)))==NULL)
       || ((boxcnt      = (int *)malloc(keepset_cnt * sizeof(int)))==NULL)
       || ((box_assocd_with_cntr_no = (int *)malloc(keepset_cnt * sizeof(int)))==NULL)
       || ((cntr_assocd_with_box_no = (int *)malloc(keepset_cnt * sizeof(int)))==NULL)) {
        fprintf(stdout,"ERROR: Out of memory.\n");
        fflush(stdout);
        return;
    }
    for(n=0;n<keepset_cnt;n++) {                                    /* regard each set of kept items as a box */
        box_assocd_with_cntr_no[n] = n;                         /* link each ball-counter to each box */
        cntr_assocd_with_box_no[n] = n;                         /* link each box to each ball-counter */
        box[n] = 1;                                                             /* Put 1 ball in each box: every kept set must have at least 1 item */
        boxcnt[n] = 0;                                                          /* preset the boxcnts to zero */
    }
    if((remainder = keptitems - keepset_cnt) > 0) { /* if any leftover balls */
        unfilled_boxes = keepset_cnt;                           /* set number of unfilled boxes */
        for(n=0;n<remainder;n++) {                                      /* for all remaining balls */
            z = (int)floor(drand48() * unfilled_boxes);
            box[z]++;                                                               /* distribute each ball to a random box */

            if(box[z] >= gap) {                                                                     /* if the box getting the ball is now full */
                boxcnt[cntr_assocd_with_box_no[z]] = box[z];    /* store the count of balls in the box */
                unfilled_boxes--;                                                               /* reduce number of boxes to put random balls into */
                while(z < unfilled_boxes) {
                    box[z] = box[z+1];                                      /* eliminate full box, by shuffling boxes above downwards */
                    k = cntr_assocd_with_box_no[z+1];       /* get the boxcnter associated with the next box */
                    box_assocd_with_cntr_no[k]--;           /* force it to point to next lower box (as boxes have moved down 1) */
                    j = box_assocd_with_cntr_no[k];         /* get the box it now points to */
                    cntr_assocd_with_box_no[j] = k;         /* get that to point back to the box counter */
                    z++;
                }
            }
        }
    }
    for(n=0;n<keepset_cnt;n++) {                                            /* save counts of balls in remaining boxes */
        if(boxcnt[n] <= 0)
            boxcnt[n] = box[box_assocd_with_cntr_no[n]];
    }
    j = 0;
    n = 0;
    if(inverted) {
        while(j < delset_cnt) {
            for(k=0;k<boxcnt[j];k++) {                                              /* skip x items */
                if(++n > cnt) {
                    fprintf(stdout,"ERROR: Program anomaly in counting data 4.\n");
                    return;
                }
            }
            for(k=0;k<vacuum[j];k++) {                                              /* print y items */
                fprintf(stdout,"INFO: %lf\n",number[n]);
                if(++n > cnt) {
                    fprintf(stdout,"ERROR: Program anomaly in counting data 5.\n");
                    return;
                }
            }          /* Note, all inverted patterns start and end with OFF events - an aesthetic decision */
            j++;
        }
    } else {
        while(j < delset_cnt) {
            for(k=0;k<boxcnt[j];k++) {                                              /* print x items */
                fprintf(stdout,"INFO: %lf\n",number[n]);
                if(++n > cnt) {
                    fprintf(stdout,"ERROR: Program anomaly in counting data 1.\n");
                    return;
                }
            }
            for(k=0;k<vacuum[j];k++) {                                              /* skip y items */
                if(++n > cnt) {
                    fprintf(stdout,"ERROR: Program anomaly in counting data 2.\n");
                    return;
                }
            }
            j++;
        }
        for(k=0;k<boxcnt[j];k++) {                                                      /* print last x items */
            fprintf(stdout,"INFO: %lf\n",number[n]);
            if(++n > cnt) {
                fprintf(stdout,"ERROR: Program anomaly in counting data 3.\n");
                break;
            }                       /* Note, all patterns start and end with ON events - an aesthetic decision */
        }
    }
    fflush(stdout);
}

/****************************** REPLACE_WITH_RAND ******************************/

void replace_with_rand(int type) {

    int n;
    double lim = number[cnt], randlo = number[cnt+1], randhi = number[cnt+2];
    double k, randrang, limhi, limlo;

    if(randhi < randlo) {
        k          = randhi;
        randhi = randlo;
        randlo = k;
    }
    randrang = randhi - randlo;
    switch(type) {
    case(0):                        /* equal */
        limhi = lim + FLTERR;
        limlo = lim - FLTERR;
        for(n=0;n<cnt;n++) {
            if((number[n] < limhi) && (number[n] > limlo))
                number[n] = (drand48() * randrang) + randlo;
            fprintf(stdout,"INFO: %lf\n",number[n]);
        }
        break;
    case(-1):                       /* less */
        for(n=0;n<cnt;n++) {
            if(number[n] < lim)
                number[n] = (drand48() * randrang) + randlo;
            fprintf(stdout,"INFO: %lf\n",number[n]);
        }
        break;
    case(1):                        /* greater */
        for(n=0;n<cnt;n++) {
            if(number[n] > lim)
                number[n] = (drand48() * randrang) + randlo;
            fprintf(stdout,"INFO: %lf\n",number[n]);
        }
        break;
    }
    fflush(stdout);
}

/****************************** RANDQUANTA_IN_GAPS ******************************/

void randquanta_in_gaps(void)
{
    int totcnt = round(number[cnt]);                                                                        /* number of vals to make */
    double q = number[cnt+1];                                                                                       /* quantisation of grid */
    int mincnt = round(number[cnt+2]), maxcnt = round(number[cnt+3]);       /* min & max no of events in each time-interval */
    int k,j,n,m, posibmax = 0, maxqpnts = 0, tot_boxes,minpos,maxpos,remainder,unfilled_boxes;
    int boxpos, orig_boxpos;
    int *perm,*box,*boxcnt,*qpnts,*box_assocd_with_cntr_no,*cntr_assocd_with_box_no;
    double mintim,maxtim;
    double *qbas;

    if(maxcnt < mincnt) {   /* orient cnt-range */
        n = maxcnt;
        maxcnt = mincnt;
        mincnt = n;
    }
    if(mincnt < 1) {
        fprintf(stdout,"ERROR: Invalid count of number of items (%d)\n",mincnt);
        fflush(stdout);
        exit(1);
    }
    if(cnt & 1)                             /* Force even number of pairs */
        cnt--;

    if((tot_boxes = cnt/2) < 1) {
        fprintf(stdout,"Too few value pairs in input column.\n");
        fflush(stdout);
        exit(1);
    }
    if(totcnt < tot_boxes * mincnt) {
        fprintf(stdout,"Insufficient items to distribute amongst the %d pairs.\n",tot_boxes);
        fflush(stdout);
        exit(1);
    }
    if(((box        = (int *)malloc(tot_boxes * sizeof(int)))==NULL)                /* 'boxes' store random placed 'balls' */
       || ((boxcnt     = (int *)malloc(tot_boxes * sizeof(int)))==NULL)                /* counts of balls in 'boxes' */
       || ((qpnts      = (int *)malloc(tot_boxes * sizeof(int)))==NULL)                /* no. of q-points in each time-interval */
       /* = maximum number of balls for each box */
       || ((qbas       = (double *)malloc(tot_boxes * sizeof(double)))==NULL)  /* first q-point time in each time-interval */
       || ((box_assocd_with_cntr_no = (int *)malloc(tot_boxes * sizeof(int)))==NULL)
       || ((cntr_assocd_with_box_no = (int *)malloc(tot_boxes * sizeof(int)))==NULL)) {
        fprintf(stdout,"Out of memory.\n");                                                             /* because boxes are 'deleted' & shuffled down */
        fflush(stdout);
        exit(1);
    }
    for(n=0, m =0; n < cnt; n += 2,m++) {
        mintim = number[n];
        maxtim = number[n+1];

        minpos = (int)floor(mintim/q);
        if(((double)minpos * q) < mintim)
            minpos++;
        maxpos = (int)floor(maxtim/q);

        qpnts[m] = maxpos - minpos + 1;
        if(qpnts[m] < mincnt) {
            fprintf(stdout,"ERROR: timegap between %lf and %lf will not take  %d items\n",number[n],number[n+1],mincnt);
            fflush(stdout);
            exit(1);
        }
        if(m == 0)      maxqpnts = qpnts[0];
        else            maxqpnts = max(maxqpnts,qpnts[m]);

        qbas[m]  = minpos * q;
        posibmax += min(qpnts[m],maxcnt);
    }
    if(posibmax < totcnt) {
        fprintf(stdout, "ERROR: total count of items exceeds available spaces.\n");
        fflush(stdout);
        exit(1);
    }

    if((perm = (int *)malloc(maxqpnts * sizeof(int)))==NULL) {
        fprintf(stdout,"Out of memory.\n");
        fflush(stdout);
        exit(1);
    }
    remainder = totcnt;

    /* DISTRIBUTE THE REMAINING ITEMS AT RANDOM (with constraints) BETWEEN THE boxcnt BOXES */

    for(n=0;n<tot_boxes;n++) {                                                      /* regard each set of kept items as a box */
        box_assocd_with_cntr_no[n] = n;                                 /* link each ball-counter to each box */
        cntr_assocd_with_box_no[n] = n;                                 /* link each box to each ball-counter */
        box[n] = mincnt;                                                                /* Put min no of balls in each box */
        remainder -= mincnt;
        boxcnt[n] = 0;                                                                  /* preset the boxcnts to zero */
    }
    if(remainder > 0) {                                                                     /* if any leftover balls */

        /* ELIMINATE ANY BOXES WHICH ARE ALREADY FULL */
        unfilled_boxes = tot_boxes;                                             /* set number of unfilled boxes as total no of boxes */
        boxpos = 0;
        for(n=0,m=0;n<tot_boxes;n++) {                                  /* for all boxes */
            if(box[boxpos] >= qpnts[n]) {                           /* if the box is already full */
                boxcnt[n] = box[boxpos];                                /* store the count of balls that are in the box */
                unfilled_boxes--;                                               /* reduce number of boxes to put random balls into */
                orig_boxpos = boxpos;                                   /* save the position of the full-box which is being eliminated */
                while(boxpos < unfilled_boxes) {
                    box[boxpos] = box[boxpos+1];            /* eliminate full box, by shuffling boxes above downwards */
                    k = cntr_assocd_with_box_no[boxpos+1];  /* get the boxcnter associated with the next box */
                    box_assocd_with_cntr_no[k]--;           /* force it to point to next lower box (as boxes have moved down 1) */
                    j = box_assocd_with_cntr_no[k];         /* get the box it now points to */
                    cntr_assocd_with_box_no[j] = k;         /* get that to point back to the box counter */
                    boxpos++;
                }
                boxpos = orig_boxpos;                                   /* reset box position to where it was: now points to new box */
            } else {
                boxpos++;                                                               /* if box getting ball is NOT full, go on to next box */
            }
        }
        /* DISTRIBUTE REMAINING BALLS */
        for(n=0;n<remainder;n++) {                                      /* for all remaining balls */
            boxpos = (int)floor(drand48() * unfilled_boxes);
            box[boxpos]++;                                                          /* distribute each ball to a random box */
            k = cntr_assocd_with_box_no[boxpos];
            if(box[boxpos] >= qpnts[k]) {                           /* if the box getting the ball is now full */
                boxcnt[k] = box[boxpos];                                /* store the count of balls that are in the box */
                unfilled_boxes--;                                               /* reduce number of boxes to put random balls into */
                while(boxpos < unfilled_boxes) {
                    box[boxpos] = box[boxpos+1];            /* eliminate full box, by shuffling boxes above downwards */
                    k = cntr_assocd_with_box_no[boxpos+1];  /* get the boxcnter associated with the next box */
                    box_assocd_with_cntr_no[k]--;           /* force it to point to next lower box (as boxes have moved down 1) */
                    j = box_assocd_with_cntr_no[k];         /* get the box it now points to */
                    cntr_assocd_with_box_no[j] = k;         /* get that to point back to the box counter */
                    boxpos++;
                }
            }
        }
    }
    for(n=0;n<tot_boxes;n++) {                                                      /* save counts of balls in remaining boxes */
        if(boxcnt[n] <= 0)
            boxcnt[n] = box[box_assocd_with_cntr_no[n]];
    }
    /* DISTRIBUTE THE VALS AT RANDOM WITHIN THE BOXES */

    for(n=0;n<tot_boxes;n++) {
        randperm(perm,qpnts[n]);                                                /* permute the current group of quantisation cells */
        ascending_sort_cells(perm,boxcnt[n]);                   /* sort the first 'boxcnt' of the perm, into ascending order */

        for(m=0;m<boxcnt[n];m++)                                                /* for each random value, multiply it by quantisation val */
            fprintf(stdout,"INFO: %lf\n",qbas[n] + (perm[m] * q));
    }                                                                                                       /* & add to to 1st quantised position in current time-interval */
    fflush(stdout);
}

/****************************** INVERT_NORMD_ENV ******************************/

void invert_normd_env(void)
{
    invertenv(1.0);
}

/****************************** INVERT_AROUND_PIVOT ******************************/

void invert_around_pivot(void)
{
    invertenv(number[cnt] * 2.0);
}

/****************************** INVERT_OVER_RANGE ******************************/

void invert_over_range(void)
{
    invertenv(number[cnt] + number[cnt+1]);
}

/****************************** ENV_SUPERIMPOS ******************************/

void env_superimpos(int inverse,int typ)        /* PRODUCT SHOULD INVOLVE LOGS !! */
{
    double *out, *no1, *no2, tdiff, tratio, vdiff, vhere;
    int n, m, j, cnt2, skipped;
    double thisnval, thismval, lastnval, lastmval, time = 0.0, lastval = 0.0;

    if((out = (double *)malloc((cnt * 2) * sizeof(double)))==NULL) {
        fprintf(stdout,"ERROR: Out of memory.\n");
        fflush(stdout);
        exit(1);
    }
    if(factor != 0.0) {                                     /* if inserted after time zero, move it to start time */
        for(n=firstcnt;n<cnt;n+=2)
            number[n] += factor;
    }
    if(inverse) {                                   /* If working with inverse of env, invert it */
        for(n=firstcnt+1;n<cnt;n+=2)
            number[n] = 1.0 - number[n];
    }
    if(number[firstcnt] < number[0]) {
        no1  = &(number[firstcnt]);     /* If inserted env starts BEFORE orig env, 'invert' process */
        no2  = number;
        cnt  = cnt - firstcnt;                  /* establish independent counters for each infile */
        cnt2 = firstcnt;
    } else {
        no1  = number;
        no2  = &(number[firstcnt]);
        cnt2 = cnt - firstcnt;                  /* establish independent counters for each infile */
        cnt  = firstcnt;
    }
    n = 0;
    m = 0;
    j = 0;
    thisnval = 0.0;
    thismval = 0.0;
    while(no1[n] < no2[0]) {
        out[j++] = no1[n++];
        thisnval = no1[n];
        thismval = no2[1];
        switch(typ) {
        case(MULT):             out[j++] = no1[n++] * no2[1];   break;
        case(ADD):              out[j++] = no1[n++] + no2[1];   break;
        case(SUBTRACT): out[j++] = no1[n++] - no2[1];   break;
        case(ENVMAX):
            out[j++] = max(no1[n],no2[1]);
            n++;
            break;
        }
        if(n >= cnt)
            break;
    }
    while(n < cnt) {
        if(no1[n] == no2[m]) {          /* brkpnts coincide */
            out[j++] = no1[n++];
            m++;                                    /* new brkpnt val is product of origs */
            lastnval = thisnval;
            lastmval = thismval;
            thisnval = no1[n];
            thismval = no2[m];
            switch(typ) {
            case(MULT):             out[j++] = no1[n++] * no2[m++]; break;
            case(ADD):              out[j++] = no1[n++] + no2[m++]; break;
            case(SUBTRACT): out[j++] = no1[n++] - no2[m++]; break;
            case(ENVMAX):
                out[j++] = max(no1[n],no2[m]);
                n++;
                m++;
                break;
            }
            if(m >= cnt2)                   /* If at end of inserted env, break from loop */
                break;
        } else if(no1[n] > no2[m]) {    /* inserted brkpnt falls before next orig-brkpnt */
            while(no1[n] > no2[m]) {
                time = no2[m];          /* take time from inserted brkpnt */
                tdiff = no1[n] - no1[n-2];
                tratio = (no2[m++] - no1[n-2])/tdiff;
                n++;
                vdiff = no1[n] - no1[n-2];
                vhere = (vdiff * tratio) + no1[n-2];    /* value of orig brkpnt, at this time */
                lastnval = thisnval;
                lastmval = thismval;
                thisnval = vhere;
                thismval = no2[m];
                docross(lastnval,lastmval,thisnval,thismval,time,&j,out,typ);
                out[j++] = time;
                switch(typ) {
                case(MULT):             out[j++] = vhere * no2[m++];    break;
                case(ADD):              out[j++] = vhere + no2[m++];    break;
                case(SUBTRACT): out[j++] = vhere - no2[m++];    break;
                case(ENVMAX):
                    out[j++] = max(vhere,no2[m]);
                    m++;
                    break;
                }
                n--;                            /* remain at same point in orig-brkfile */
                if(m >= cnt2)
                    break;                  /* If at end of inserted env, break from loop */
            }
        } else {                                        /* orig-brkpnt falls before next inserted brkpnt */
            while(no2[m] > no1[n]) {
                time = no1[n];          /* take time from orig brkpnt */
                tdiff = no2[m] - no2[m-2];
                tratio = (no1[n++] - no2[m-2])/tdiff;
                m++;
                vdiff = no2[m] - no2[m-2];
                vhere = (vdiff * tratio) + no2[m-2];    /* value of inserted brkpnt, at this time */
                lastnval = thisnval;
                lastmval = thismval;
                thismval = vhere;
                thisnval = no1[n];
                docross(lastnval,lastmval,thisnval,thismval,time,&j,out,typ);
                out[j++] = time;
                switch(typ) {
                case(MULT):             out[j++] = vhere * no1[n++];    break;
                case(ADD):              out[j++] = vhere + no1[n++];    break;
                case(SUBTRACT): out[j++] = vhere - no1[n++];    break;
                case(ENVMAX):
                    out[j++] = max(vhere,no1[n]);
                    n++;
                    break;
                }
                m--;                            /* remain at same point in inserted-brkfile */
                if(n >= cnt) {          /* if it at end of orig file */
                    while(m < cnt2) {         /* calc remaining inserted file points */
                        out[j++] = no2[m++];
                        switch(typ) {
                        case(MULT):             out[j++] = no2[m++] * no1[cnt-1];       break;
                        case(ADD):              out[j++] = no2[m++] + no1[cnt-1];       break;
                        case(SUBTRACT): out[j++] = no2[m++] - no1[cnt-1];       break;
                        case(ENVMAX):
                            out[j++] = max(no2[m],no1[cnt-1]);
                            m++;
                            break;
                        }
                    }
                    break;                  /* and break from loop */
                }
            }
        }
        if(m >= cnt2)
            break;                                  /* If at end of inserted env, break from outer loop */
    }
    /* on leaving loop either m > cnt2 or n > cnt */

    while (n < cnt) {                               /* if orig brkfile extends beyond inserted file */
        out[j++] = no1[n++];            /* calculate remaining points */
        switch(typ) {
        case(MULT):             out[j++] = no1[n++] * no2[cnt2 - 1];    break;
        case(ADD):              out[j++] = no1[n++] + no2[cnt2 - 1];    break;
        case(SUBTRACT): out[j++] = no1[n++] - no2[cnt2 - 1];    break;
        case(ENVMAX):
            out[j++] = max(no1[n],no2[cnt2 - 1]);
            n++;
            break;
        }
    }
    while (m < cnt2) {                              /* if inserted brkfile extends beyond orig file */
        out[j++] = no2[m++];            /* calculate remaining points */
        switch(typ) {
        case(MULT):             out[j++] = no2[m++] * no1[cnt - 1];     break;
        case(ADD):              out[j++] = no2[m++] + no1[cnt - 1];     break;
        case(SUBTRACT): out[j++] = no2[m++] - no1[cnt - 1];     break;
        case(ENVMAX):
            out[j++] = max(no2[m],no1[cnt - 1]);
            m++;
            break;
        }
    }
    fprintf(stdout,"INFO: %lf  %lf\n",out[0],out[1]);
    skipped = 0;
    for(n=2;n<j-2;n += 2) {
        if(!flteq(out[n-1],out[n+1])) {         /* elementary datareduce */
            if(skipped)
                fprintf(stdout,"INFO: %lf  %lf\n",time,lastval);
            fprintf(stdout,"INFO: %lf  %lf\n",out[n],out[n+1]);
            skipped = 0;
        } else {
            skipped = 1;
            time    = out[n];
            lastval = out[n+1];
        }
    }
    fprintf(stdout,"INFO: %lf  %lf\n",out[n],out[n+1]);
    fflush(stdout);
}

/****************************** DOCROSS ******************************/

void docross(double lastnval,double lastmval,double thisnval, double thismval,double time,int *j,double *out,int typ)
{
    int prehi = 0, posthi = 0;
    double lasttime, timediff, timecross, valcross, gradn, gradm;
    if(lastnval > lastmval)
        prehi = 1;
    else if(lastnval < lastmval)
        prehi = -1;
    if(thisnval > thismval)
        posthi = 1;
    else if(thisnval < thismval)
        posthi = -1;
    if(prehi && posthi && (prehi != posthi)) {      /* curves intersect */
        lasttime = out[*(j)-2];
        timediff = time - lasttime;
        if(flteq(timediff,0.0)) {
            fprintf(stdout,"ERROR: Came across time step too small to calculate.\n");
            fflush(stdout);
            exit(1);
        }
        gradn = (thisnval - lastnval)/timediff;
        gradm = (thismval - lastmval)/timediff;
        if(flteq(gradn,gradm)) {
            fprintf(stdout,"ERROR: possible error in curve crossing algorithm.\n");
            fflush(stdout);
            exit(1);
        }
        timecross = (lastmval - lastnval)/(gradn - gradm);
        valcross = (gradn * timecross) + lastnval;
        out[(*j)++] = timecross + lasttime;
        switch(typ) {
        case(MULT):             out[(*j)++] = (valcross * valcross);    break;
        case(ADD):              out[(*j)++] = (valcross + valcross);    break;
        case(SUBTRACT): out[(*j)++] = 0.0;                                              break;
        case(ENVMAX):   out[(*j)++] = valcross;                                 break;
        }
    }
}

/****************************** ENV_DEL_INV ******************************/

void env_del_inv(void)
{
    int n, m;
    cnt += 2;
    if((number = (double *)realloc((char *)number,cnt * sizeof(double)))==NULL) {
        fprintf(stdout,"ERROR: Out of memory.\n");
        fflush(stdout);
        exit(1);
    }
    m = cnt - 1;
    n = cnt - 3;
    while(n > 0) {
        number[m--] = 1.0 - number[n--];                /* inverse */
        number[m--]     = number[n--] + factor;         /* delay */
    }
    number[1] = number[3];                                          /* extend initial val.. */
    number[0] = 0.0;                                                        /* ...back to zero time */
    for(n=0;n<cnt;n+=2)
        fprintf(stdout,"INFO: %lf  %lf\n",number[n],number[n+1]);
    fflush(stdout);
}

/****************************** ENV_DEL_INV ******************************/

void env_plateau(void)
{
    double plateau;
    int n;
    n = ifactor;
    n--;                                    /* get true line number */
    n *= 2;                                 /* get brkpnt pair */
    n++;                                    /* get val in brkpnt pair */
    plateau = number[n];    /* get plateau val */
    n -= 2;
    number[n] = plateau;    /* put plateau val in previous val*/
    n--;
    number[n] = 0.0;                /* set time here to zero */
    while(n < cnt) {
        fprintf(stdout,"INFO: %lf  %lf\n",number[n],number[n+1]);
        n += 2;
    }
    fflush(stdout);
}

/****************************** TIME_FROM_BEAT_POSITION ******************************/

void time_from_beat_position(int has_offset)
{
    int n;
    double k;
    if(factor <= FLTERR) {
        fprintf(stdout,"ERROR: Beat duration is less than or equal to zero.\n");
        fflush(stdout);
        exit(1);
    }
    if(has_offset && !condit) {
        fprintf(stdout,"ERROR: No time offset given.\n");
        fflush(stdout);
        exit(1);
    }
    for(n=0;n< cnt;n++) {
        if((k = number[n] - 1.0) < 0.0) {
            fprintf(stdout,"ERROR: Position of beat %d is less than 1. Impossible.\n",n+1);
            fflush(stdout);
            exit(1);
        }
        number[n] = k * factor;
        if(has_offset)
            number[n] += thresh;
    }
    for(n=0;n< cnt;n++)
        fprintf(stdout,"INFO: %lf\n",number[n]);
    fflush(stdout);
}

/****************************** INSERT_AFTER_VAL ******************************/

void insert_after_val(void)
{
    int n, m, has_started = 0;
    for(n=0;n<cnt;n++) {
        if (!has_started) {
            if(number[n] == number[cnt]) {
                for(m=0;m <= n; m++)
                    fprintf(stdout,"INFO: %lf\n",number[m]);
                fprintf(stdout,"INFO: %lf\n",number[cnt+1]);
                has_started = 1;
            }
        } else {
            fprintf(stdout,"INFO: %lf\n",number[n]);
        }
    }
    if(!has_started) {
        fprintf(stdout,"ERROR: Value %lf not found in the table.\n",number[cnt]);
        fflush(stdout);
        exit(1);
    }
    fflush(stdout);
}

/****************************** MIN_INTERVAL ******************************/

void min_interval(int ismax) {
    int n, ipos;
    double min_int, max_int, this_int;
    if(cnt < 2) {
        fprintf(stdout,"ERROR: Too few values to run this process.\n");
        fflush(stdout);
        exit(1);
    }
    ipos = 1;
    if (ismax) {
        max_int = number[1] - number[0];
        for(n=2;n<cnt;n++) {
            if((this_int = number[n] - number[n-1]) > max_int) {
                max_int = this_int;
                ipos = n;
            }
        }
        fprintf(stdout,"WARNING: Maximum interval is %lf between entries %d and %d.\n",max_int,ipos,ipos+1);
        fflush(stdout);
    } else {
        min_int = number[1] - number[0];
        for(n=2;n<cnt;n++) {
            if((this_int = number[n] - number[n-1]) < min_int) {
                min_int = this_int;
               ipos = n;
            }
        }
        fprintf(stdout,"WARNING: Minimum interval is %lf between entries %d and %d.\n",min_int,ipos,ipos+1);
        fflush(stdout);
    }
}

/****************************** INSERT_IN_ORDER ******************************/

void insert_in_order(void) {
    int n, ipos = -1;
    for(n=0;n<cnt-1;n++) {
        if(number[n+1] <= number[n]) {
            fprintf(stdout,"ERROR: column not in ascending order.\n");
            fflush(stdout);
            exit(1);
        }
        if ((ipos < 0) && (number[cnt] <= number[n])) {  /* position not found & new number goes here */
            ipos = n;
        }
    }
    if ((ipos < 0) && (number[cnt] <= number[n])) {  /* position not found & new number goes here */
        ipos = n;
    }
    if(ipos < 0)                     /* new number larger than all in column, goes at end */
        ipos = cnt;
    if(ipos > 0) {                   /* if new number not at start of column */
        for(n=0;n<ipos;n++)
            fprintf(stdout,"INFO: %lf\n",number[n]);
    }                                               /* insert new number */
    fprintf(stdout,"INFO: %lf\n",number[cnt]);
    if(ipos < cnt) {                 /* if new mumber not at end of column */
        for(n=ipos;n<cnt;n++)
            fprintf(stdout,"INFO: %lf\n",number[n]);
    }
    fflush(stdout);
}

/****************************** INSERT_AT_START ******************************/

void insert_at_start(void) {
    int n;
    fprintf(stdout,"INFO: %lf\n",number[cnt]);
    for(n=0;n<cnt;n++)
        fprintf(stdout,"INFO: %lf\n",number[n]);
    fflush(stdout);
}

/****************************** INSERT_AT_END ******************************/

void insert_at_end(void) {
    int n;
    for(n=0;n<=cnt;n++)
        fprintf(stdout,"INFO: %lf\n",number[n]);
    fflush(stdout);
}

/****************************** FORMAT_STRS ****************************/

void format_strs(void)
{
    int n, m, OK = 1;
    double d = (double)stringscnt/(double)ifactor;
    int rowcnt = stringscnt/ifactor;
    char ctemp[64];
    errstr[0] = ENDOFSTR;
    if(d > (double)rowcnt)
        rowcnt++;
    for(n=0;n<stringscnt;n+=rowcnt) {
        for(m=0;m<rowcnt;m++) {
            if(n!=0 && m==0) {
                fprintf(stdout,"INFO: %s\n",errstr);
                errstr[0] = ENDOFSTR;
            }
            if(n+m < stringscnt) {
                sprintf(ctemp,"%s ",strings[n+m]);
                strcat(errstr,ctemp);
            } else
                OK = 0;
        }
        if(!OK)
            break;
    }
    fprintf(stdout,"INFO: %s\n",errstr);
    fflush(stdout);
}


/****************************** COLUMN_FORMAT_STRS ****************************/

void column_format_strs(void)
{       int n, m;

    double d = (double)stringscnt/(double)ifactor;
    int rowcnt = stringscnt/ifactor;
    char ctemp[64];
    errstr[0] = ENDOFSTR;
    if(d > (double)rowcnt)
        rowcnt++;
    for(n=0;n<rowcnt;n++) {
        for(m=n;m<stringscnt;m+=rowcnt) {
            sprintf(ctemp,"%s ",strings[m]);
            strcat(errstr,ctemp);
        }
        fprintf(stdout,"INFO: %s\n",errstr);
        errstr[0] = ENDOFSTR;
    }
    fflush(stdout);
}

/****************************** RANDOM_INTEGERS ****************************/

void random_integers(void)
{
    int n, i, j = round(number[1]);
    int range = abs(j - 1) + 1;
    int rangbot = (int)min(j,1);
    ifactor = round(number[0]);

    for(n=0;n<ifactor;n++) {
        i = (int)floor(drand48() * range) + rangbot;
        fprintf(stdout,"INFO: %d\n",i);
    }
    fflush(stdout);
}

/****************************** RANDOM_INTEGERS_EVENLY_SPREAD ****************************/

void random_integers_evenly_spread(void)
{
    int z, n, m, i, k, j, repets;
    int range, rangbot, arrsiz, endcnt, endval, allowed, checkpart;
    int *arr, *arr2, *perm;

    repets = round(number[2]);
    j = round(number[1]);
    range = abs(j - 1) + 1;
    rangbot = (int)min(j,1);
    arrsiz = range * repets;
    ifactor = round(number[0]);

    if((arr = (int *)malloc(arrsiz * sizeof(int)))==NULL) {
        fprintf(stdout,"ERROR: Out of memory.\n");
        fflush(stdout);
        exit(1);
    }
    if((perm = (int *)malloc(arrsiz * sizeof(int)))==NULL) {
        fprintf(stdout,"ERROR: Out of memory.\n");
        fflush(stdout);
        exit(1);
    }
    if((arr2 = (int *)malloc(repets * sizeof(int)))==NULL) {
        fprintf(stdout,"ERROR: Out of memory.\n");
        fflush(stdout);
        exit(1);
    }
    n = 0;
    for(j=0;j<repets;j++) {                                 /* fill array with REPET copies of values */
        z = rangbot;
        for(i=0;i<range;i++)
            arr[n++] = z++;
    }
    endcnt = 0;                                                             /* number of items repeated at end of previous perm */
    endval = 1;                                                             /* value (possibly repeated) at end of previous perm */
    allowed = -1;                                                   /* number of permissible repetitions of this val at start of NEW perm */
    checkpart = arrsiz - repets;                    /* items at end of array to test for repetitions */
    n = 0;
    while(n < ifactor) {
        do_repet_restricted_perm(arr,perm,arrsiz,allowed,endval);
        j = 0;
        for(m = 0;m <arrsiz;m++,n++) {
            if(n >= ifactor)
                break;
            k = arr[perm[m]];
            fprintf(stdout,"INFO: %d\n",k);
            if(m >= checkpart)                              /* save last checkable stretch of perm */
                arr2[j++] = k;
        }
        fflush(stdout);
        if(n >= ifactor)
            break;
        j--;
        endval = arr2[j--];                                     /* note the val at end of perm */
        endcnt = 1;                                                     /* and count it */
        for(k = j; k>= 0; k--) {
            if(arr2[k] == endval)                   /* check adjacent vals, for repetition of value: count */
                endcnt++;
            else                                                    /* if no more repetitions, finish counting */
                break;
        }
        allowed = repets - endcnt;                      /* get number of permissible repets at start of next perm */
    }
}

/****************************** DO_REPET_RESTRICTED_PERM ****************************/

void do_repet_restricted_perm(int *arr, int *perm, int arrsiz, int allowed, int endval)
{
    int n, t;
    int checklen = allowed + 1;
    int done = 0;
    while(!done) {
        for(n=0;n<arrsiz;n++) {
            t = (int)(drand48() * (double)(n+1)); /* TRUNCATE */
            if(t==n)
                hhprefix(n,arrsiz,perm);
            else
                hhinsert(n,t,arrsiz,perm);
        }
        if(checklen <= 0)
            break;
        for(n=0;n<checklen;n++) {
            if(arr[perm[n]] == endval) {    /* if this is val (repeated) at end of last perm */
                if(allowed == 0)                        /* if repetition not allowed, force a new perm val */
                    break;
                else                                            /* else, repetitions still allowed */
                    allowed--;                              /* decrement number of permissible further repets */
            } else {
                done = 1;                                       /* if this is not val at end of last perm */
                break;                                          /* perm is OK */
            }
        }
    }
}

/***************************** HHINSERT **********************************
 *
 * Insert the value m AFTER the T-th element in perm[].
 */

void hhinsert(int m,int t,int setlen,int *perm)
{
    hhshuflup(t+1,setlen,perm);
    perm[t+1] = m;
}

/***************************** HHPREFIX ************************************
 *
 * Insert the value m at start of the permutation perm[].
 */

void hhprefix(int m,int setlen,int *perm)
{
    hhshuflup(0,setlen,perm);
    perm[0] = m;
}

/****************************** HHSHUFLUP ***********************************
 *
 * move set members in perm[] upwards, starting from element k.
 */

void hhshuflup(int k,int setlen,int *perm)
{
    int n, *i;
    int z = setlen - 1;
    i = (perm+z);
    for(n = z;n > k;n--) {
        *i = *(i-1);
        i--;
    }
}

/****************************** TIME_FROM_BAR_BEAT_METRE_TEMPO ***********************************/

void time_from_bar_beat_metre_tempo(int has_offset)
{
    int barlen, beatsize, n;
    double tempo,beat,beatdur,time, offset = 0.0;

    if((tempo = get_tempo(strings[cnt+1])) <= 0.0)
        exit(1);
    if(has_offset)
        get_offset(strings[cnt+2],&offset);
    get_metre(strings[cnt],&barlen,&beatsize);
    beatdur = (60.0/(double)tempo) * (4.0/(double)beatsize);
    for(n=0;n<cnt;n++) {
        beat = get_beat(n,barlen);
        time = beat * beatdur;
        time += offset;
        fprintf(stdout,"INFO: %lf\n",time);
    }
    fflush(stdout);
}

/****************************** GET_METRE ***********************************/

void get_metre(char str[],int *barlen,int *beatsize)
{
    int pointcnt = 0, isvalid = 0, mask;
    char *q, *start, *p = str;
    start = p;
    q = start;
    p += strlen(p);
    /* strip trailing zeros */
    if(p == start) {
        fprintf(stdout, "ERROR: Invalid metre value. (No data).\n");
        fflush(stdout);
        exit(1);
    }
    p--;
    while(*p == '0') {
        *p = ENDOFSTR;
        if(p == start)
            break;
        p--;
    }
    p = start;
    while(*p != ENDOFSTR) {
        if(*p == '.') {
            pointcnt++;
            q = p;
        } else if (!isdigit(*p)) {
            fprintf(stdout, "ERROR: Invalid metre value. non_digit = '%c' in numerator.\n",*p);
            fflush(stdout);
            exit(1);
        }
        p++;
    }
    if(q == start) {
        fprintf(stdout, "ERROR: Invalid metre value. No numerator.\n");
        fflush(stdout);
        exit(1);
    }
    if (pointcnt!=1) {
        if(pointcnt > 1)
            fprintf(stdout, "ERROR: Invalid metre value. %d decimal points : must be one only.\n",pointcnt);
        else
            fprintf(stdout, "ERROR: Invalid metre value. No decimal point\n");
        fflush(stdout);
        exit(1);
    }
    *q = ENDOFSTR;
    if(sscanf(start,"%d",barlen)<1) {                                                       /* SAFETY (redundant) */
        fprintf(stdout, "ERROR: Invalid metre value. Cannot read barlength.\n");
        fflush(stdout);
        exit(1);
    }
    p = q+1;
    if(*p==ENDOFSTR) {
        fprintf(stdout, "ERROR: Invalid metre value. (No denominator).\n");
        fflush(stdout);
        exit(1);
    }
    start = p;
    if(*p == '0') {
        fprintf(stdout, "ERROR: Invalid metre value. (leading zeros in denominator).\n");               /* leading zero(s) */
        fflush(stdout);
        exit(1);
    }
    while(*p != ENDOFSTR) {
        if(!isdigit(*p)) {                                                                              /* non-numeric characters */
            fprintf(stdout, "ERROR: Invalid metre value. (non-digit character '%c' in denominator )\n",*p);
            fflush(stdout);
            exit(1);
        }
        p++;
    }
    if(sscanf(start,"%d",beatsize)<1) {                                                     /* SAFETY (redundant) */
        fprintf(stdout, "ERROR: Invalid metre value. Failed to read beatsize from %s\n",start);
        fflush(stdout);
        exit(1);
    }
    mask = 1;
    while(mask < 512) {             /* Powers of 2 only !! Need special dispensation for Ferneyhovian metres like 4:10 */
        if((*beatsize) == mask) {
            isvalid = 1;
            break;
        }
        mask <<= 1;
    }
    if(!isvalid) {
        fprintf(stdout, "ERROR: Invalid metre value. beatsize (%d) is invalid in standard usage\n",*beatsize);
        fflush(stdout);
        exit(1);
    }
}

/****************************** GET_BEAT ***********************************/

double get_beat(int n,int barlen)
{
    int pointcnt = 0;
    char *q = NULL, *p, *start;
    int bar;
    double beat;
    if(strlen(strings[n]) == 0) {
        fprintf(stdout, "ERROR: Invalid bar:beat value at item %d. (No value found)\n",n+1);
        fflush(stdout);
        exit(1);
    }
    p = strings[n];
    /* must have COLON */
    while(*p != ENDOFSTR) {
        if(*p == ':') {
            pointcnt++;
            q = p;
        } else if (!isdigit(*p) && (*p != '.')) {
            pointcnt = -1;
            break;
        }
        p++;
    }
    if(pointcnt != 1) {
        switch(pointcnt) {
        case(-1):
            fprintf(stdout, "ERROR: Invalid character (%c) in bar:beat value '%s' in item %d\n",*p,strings[n],n+1);
            break;
        case(0):
            fprintf(stdout, "ERROR: Invalid bar:beat value '%s' at item %d. (No colon found)\n",strings[n],n+1);
            break;
        default:
            fprintf(stdout, "ERROR: Invalid bar:beat value '%s' at item %d : %d colons found (should be only 1)\n",
                    strings[n],n+1,pointcnt);
            break;
        }
        fflush(stdout);
        exit(1);
    }
    *q = ENDOFSTR;
    if(sscanf(strings[n],"%d",&bar)<1) {    /* SAFETY (redundant) */
        fprintf(stdout, "ERROR: Invalid bar:beat value at item %d. Failed to read bar count.\n",n+1);
        fflush(stdout);
        exit(1);
    }
    if(bar < 1) {
        fprintf(stdout, "ERROR: Invalid bar:beat value at item %d. Bar count less than 1.\n",n+1);
        fflush(stdout);
        exit(1);
    }
    bar--;
    start = q+1;
    if(*start==ENDOFSTR) {
        fprintf(stdout, "ERROR: Invalid bar:beat value at item %d. No beatcount.\n",n+1);
        fflush(stdout);
        exit(1);
    }
    if(sscanf(start,"%lf",&beat)<1) {                                                                                               /* SAFETY (redundant) */
        fprintf(stdout, "ERROR: Invalid bar:beat value at item %d. Failed to read beatcount.\n",n+1);
        fflush(stdout);
        exit(1);
    }
    if(beat < 1.0) {
        fprintf(stdout, "ERROR: Invalid bar:beat value at item %d. Beat count less than 1.\n",n+1);
        fflush(stdout);
        exit(1);
    } else if(beat >= (double)(barlen + 1)) {
        fprintf(stdout, "ERROR: Invalid bar:beat value at item %d. Beat count beyond bar end.\n",n+1);
        fflush(stdout);
        exit(1);
    }
    beat -= 1.0;
    beat += (bar * (double)barlen);
    return beat;
}

/****************************** SCALE_FROM ***********************************/

void scale_from(void) {

    double interval, pivot = number[cnt];
    double scaler = number[cnt+1];
    int n;
    for(n = 0;n<cnt;n++) {
        interval = number[n] - pivot;
        interval *= scaler;
        fprintf(stdout,"INFO: %lf\n",pivot + interval);
    }
    fflush(stdout);
}

/****************************** SCALE_ABOVE ***********************************/

void scale_above(void) {

    double interval, pivot = number[cnt];
    double scaler = number[cnt+1];
    int n;
    for(n = 0;n<cnt;n++) {
        interval = number[n] - pivot;
        if(interval > 0.0) {
            interval *= scaler;
            fprintf(stdout,"INFO: %lf\n",pivot + interval);
        } else
            fprintf(stdout,"INFO: %lf\n",number[n]);
    }
    fflush(stdout);
}

/****************************** SCALE_BELOW ***********************************/

void scale_below(void) {

    double interval, pivot = number[cnt];
    double scaler = number[cnt+1];
    int n;
    for(n = 0;n<cnt;n++) {
        interval = number[n] - pivot;
        if(interval < 0.0) {
            interval *= scaler;
            fprintf(stdout,"INFO: %lf\n",pivot + interval);
        } else
            fprintf(stdout,"INFO: %lf\n",number[n]);
    }
    fflush(stdout);
}

/************************** SPAN_RISE ********************************/

void span_rise(void) {

    int n;

    if(number[0] < 0.0) {
        fprintf(stdout,"ERROR: This option only works with ascending values greater than or equal to zero.\n");
        fflush(stdout);
        exit(1);
    }
    for(n = 1;n<cnt;n++) {
        if(number[n] - number[n-1] <= thresh)  {
            fprintf(stdout,"ERROR: No space for span between number %d (%lf) and number %d (%lf)\n",
                    n,number[n-1],n+1,number[n]);
            fflush(stdout);
            exit(1);
        }
    }
    if(number[0] < thresh) {
        fprintf(stdout,"WARNING: First value too close to zero: NO span inserted.\n");
        fflush(stdout);
    } else {
        fprintf(stdout,"INFO: %lf\n",number[0] - thresh);
    }
    fprintf(stdout,"INFO: %lf\n",number[0]);

    for(n = 1;n<cnt;n++) {
        fprintf(stdout,"INFO: %lf\n",number[n] - thresh);
        fprintf(stdout,"INFO: %lf\n",number[n]);
    }
    fflush(stdout);
}

/************************** SPAN_FALL ********************************/

void span_fall(void) {

    int n;

    if(number[0] < 0.0) {
        fprintf(stdout,"ERROR: This option only works with ascending values greater than or equal to zero.\n");
        fflush(stdout);
        exit(1);
    }
    for(n = 1;n<cnt;n++) {
        if(number[n] - number[n-1] <= thresh)  {
            fprintf(stdout,"ERROR: No space for span between number %d (%lf) and number %d (%lf)\n",
                    n,number[n-1],n+1,number[n]);
            fflush(stdout);
            exit(1);
        }
    }
    for(n = 0;n<cnt;n++) {
        fprintf(stdout,"INFO: %lf\n",number[n]);
        fprintf(stdout,"INFO: %lf\n",number[n] + thresh);
    }
    fflush(stdout);
}

/************************** CYCLIC_SELECT ********************************/

void cyclic_select(char c) {

    int n, m, start, step, k = (int)c, startpos = 0, steppos=0;
    double item = 0.0;

    switch(k) {
    case('s'):
        steppos  = cnt;
        startpos = cnt+1;
        break;
    case('a'):
    case('m'):
        steppos  = cnt+1;
        startpos = cnt+2;
        break;
    }
    if((start = (int)round(number[startpos])) > cnt) {
        fprintf(stdout,"ERROR: There are no numbers at or beyond position %d\n",start);
        fflush(stdout);
        exit(1);
    } else if(start < 1) {
        fprintf(stdout,"ERROR: There are no numbers at or before position %d\n",start);
        fflush(stdout);
        exit(1);
    }
    start--;
    if(abs(step = (int)round(number[steppos])) < 1) {
        fprintf(stdout,"ERROR: Step between values cannot be zero.\n");
        fflush(stdout);
        exit(1);
    }
    if(c != 's') {
        if(step < 0) {
            fprintf(stdout,"ERROR: Step between values cannot be negative.\n");
            fflush(stdout);
            exit(1);
        }
        item = number[cnt];
    }
    switch(k) {
    case('s'):
        if(step > 0) {
            for(n = start;n<cnt;n+=step)
                fprintf(stdout,"INFO: %lf\n",number[n]);
        } else {
            for(n = start;n>=0;n+=step)
                fprintf(stdout,"INFO: %lf\n",number[n]);
        }
        break;
    case('a'):
    case('m'):
        n = 0;
        while(n < start)
            fprintf(stdout,"INFO: %lf\n",number[n++]);
        for(m = 0;n<cnt;m++,n++) {
            m %= step;
            if(m == 0) {
                switch(k) {
                case('a'):      fprintf(stdout,"INFO: %lf\n",number[n] + item); break;
                case('m'):      fprintf(stdout,"INFO: %lf\n",number[n] * item); break;
                }
            } else {
                fprintf(stdout,"INFO: %lf\n",number[n]);
            }
        }
        break;
    }
    fflush(stdout);
}

/************************** SPAN_ALL ********************************/

void span_all(void) {

    int n, zero_exists = 0, top_exists = 0;

    if(number[0] < 0.0) {
        fprintf(stdout,"ERROR: Numbers begin before zero.\n");
        fflush(stdout);
        exit(1);
    }
    if(number[cnt-1] > factor) {
        fprintf(stdout,"ERROR: Numbers already run beyond %lf\n",factor);
        fflush(stdout);
        exit(1);
    }
    if(number[0] <= 0.0)
        zero_exists = 1;
    if(number[cnt-1] >= factor)
        top_exists = 1;
    if(zero_exists) {
        if(top_exists) {
            fprintf(stdout,"ERROR: Numbers already begin at zero and end at %lf\n",factor);
            fflush(stdout);
            exit(1);
        } else {
            fprintf(stdout,"WARNING: Numbers already start at zero\n");
            fflush(stdout);
        }
    }
    if(top_exists) {
        fprintf(stdout,"WARNING: Numbers already end at %lf\n",factor);
        fflush(stdout);
    }
    if(!zero_exists)
        fprintf(stdout,"INFO: %lf\n",0.0);
    for(n=0;n<cnt;n++)
        fprintf(stdout,"INFO: %lf\n",number[n]);
    if(!top_exists)
        fprintf(stdout,"INFO: %lf\n",factor);
    fflush(stdout);
}

/************************** GET_TEMPO ********************************/

double get_tempo(char *str)
{
    char *p = str;
    double tempo;
    int pointcnt = 0;
    while(*p != ENDOFSTR) {
        if(*p == '.') {
            pointcnt++;
        } else if(!isdigit(*p)) {
            pointcnt = -1;
            break;
        }
        p++;
    }
    if(pointcnt < 0 || pointcnt > 1) {
        fprintf(stdout, "ERROR: Invalid tempo value.\n");
        fflush(stdout);
        return(-1.0);
    }
    if(sscanf(str,"%lf",&tempo)!=1) {
        fprintf(stdout, "ERROR: Invalid tempo value.\n");
        fflush(stdout);
        return(-1.0);
    }
    if(tempo <= 0.0) {
        fprintf(stdout, "ERROR: Zero or negative tempo: impossible.\n");
        fflush(stdout);
        return(-1.0);
    } else if(tempo > MAX_TEMPO) {
        fprintf(stdout, "ERROR: Invalid tempo value. Beats shorter than 1 millisecond (!!).\n");
        fflush(stdout);
        return(-1.0);
    } else if(tempo < MIN_TEMPO) {
        fprintf(stdout, "ERROR: Invalid tempo value. Beats longer than 1 hour (!!).\n");
        fflush(stdout);
        return(-1.0);
    }
    return tempo;
}

/************************** GENERATE_RANDOMISED_VALS ********************************/
/* RWD changed 'temp' below to 'dtemp', also declared in columns.h as char array !*/
/* ditto 'scatter' also clashes with global decl */
void generate_randomised_vals(void)
{
    double dscatter = number[2], span = number[0], sum = 0.0, mean, range, *dtemp = NULL, d;
    int icnt = (int) round(number[1]), n, m, j, subcnt;
    int bigscat = 0;
    if(dscatter > 1.0)
        bigscat = (int) round(dscatter);
    if(bigscat) {
        if((dtemp = (double *)malloc(bigscat * sizeof(double)))==NULL) {
            fprintf(stdout,"Out of memory.\n");
            fflush(stdout);
            exit(1);
        }
    }
    if((number = (double *)realloc((char *)number,(icnt+1) * sizeof(double)))==NULL) {
        fprintf(stdout,"Out of memory.\n");
        fflush(stdout);
        exit(1);
    }
    mean = span/(double)icnt;
    number[0] = 0.0;
    number[cnt] = span;

    if(bigscat) {
        for(n=1;n < icnt;n+= bigscat) {
            if((subcnt = n + bigscat) > icnt)                        /* find position of last number in this pass */
                subcnt = icnt;                                       /* set end position of pass */
            subcnt--;                                               /* allow for item already written at 1 */
            if((subcnt %= bigscat) == 0)                            /* set size of pass */
                subcnt = bigscat;
            range = mean * subcnt;                                  /* set range of pass */
            for(m = 0; m < subcnt; m++)
                dtemp[m] = sum + (drand48() * range);    /* generate values within this range */
            for(m=0;m < subcnt - 1; m++) {
                for(j=1;j < subcnt; j++) {
                    if(dtemp[m] > dtemp[j]) {                         /* sort */
                        d = dtemp[j];
                        dtemp[j] = dtemp[m];
                        dtemp[m] = d;
                    }
                }
            }
            for(m=0;m<subcnt;m++)                                           /* concatenate to list of numbers */
                number[n+m] = dtemp[m];
            sum += range;                                                           /* step over range */
        }
    } else {
        for(n=1;n < icnt;n++) {
            sum += mean;
            number[n] = sum + (mean * randoffset(dscatter));
        }
    }
    for(n=0;n<=icnt;n++)
        fprintf(stdout,"INFO: %lf\n",number[n]);
    fflush(stdout);
    /* RWD Nov 2025 */
    if(dtemp != NULL)
        free(dtemp);
}

/************************** RAND_OFFSET ********************************
 *
 * rand number in maximal range -half to +half
 */

double randoffset(double dscatter)
{
    return (((drand48() * 2.0) - 1.0) * 0.5) * dscatter;
}

/************************** GET_OFFSET ********************************/

void get_offset(char *str,double *offset)
{
    if(sscanf(str,"%lf",offset)!=1) {
        fprintf(stdout,"Cannot read time offset.\n");
        fflush(stdout);
        exit(1);
    }
}

/************************** PITCH_TO_DELAY ********************************/

void pitch_to_delay(int midi)
{
    int n;
    for(n = 0;n < cnt; n++) {
        if(midi) {
            if(number[n] < MIDIMIN || number[n] > MIDIMAX) {
                fprintf(stdout,"MIDI value %d (%lf) is out of range.\n", n+1,number[n]);
                fflush(stdout);
                exit(1);
            }
            number[n] = miditohz(number[n]);
        } else if(number[n] < FLTERR || number[n] > 24000.0) {
            fprintf(stdout,"Frequency value %d (%lf) is out or range.\n",n+1,number[n]);
            fflush(stdout);
            exit(1);
        }
        number[n] = 1000.0/number[n];
    }
    for(n=0;n<cnt;n++)
        fprintf(stdout,"INFO: %lf\n",number[n]);
    fflush(stdout);
}

/************************** DELAY_TO_PITCH ********************************/

void delay_to_pitch(int midi)
{
    int n;
    for(n = 0;n < cnt; n++) {
        number[n] /= 1000;
        if(number[n] < FLTERR) {
            fprintf(stdout,"Delay value %d (%lf) is out or range for conversion to pitch value.\n",n+1,number[n]);
            fflush(stdout);
            exit(1);
        }
        number[n] = 1.0/number[n];
        if(midi) {
            if(number[n] < MIDIMINFRQ || number[n] > MIDIMAXFRQ) {
                fprintf(stdout,"delay value %d (%lf) is out of range for conversion to MIDI.\n", n+1,number[n]);
                fflush(stdout);
                exit(1);
            }
            number[n] = hztomidi(number[n]);
        } else if(number[n] < FLTERR || number[n] > 24000) {
            fprintf(stdout,"Delay value %d (%lf) is out or range for conversion to frq.\n",n+1,number[n]);
            fflush(stdout);
            exit(1);
        }
    }
    for(n=0;n<cnt;n++)
        fprintf(stdout,"INFO: %lf\n",number[n]);
    fflush(stdout);
}


/* NEW FUNCS HANDLING BRKTABLES DIRECTLY ***** JUNE 2000 ***/


/****************************** REVERSE_TIME_INTERVALS ******************************/

void reverse_time_intervals(void)
{
    int n, m;
    double k = number[0];
    fprintf(stdout,"INFO: %lf  %lf\n",k,number[1]);
    for(n=3,m = cnt-2;n<cnt;m-=2,n+=2) {
        k += (number[m] - number[m-2]);
        fprintf(stdout,"INFO: %lf  %lf\n",k,number[n]);
    }
    fflush(stdout);
}

/****************************** REVERSE_ORDER_OF_BRKVALS ******************************/

void reverse_order_of_brkvals(void)
{
    int n, m;
    for(n=0,m = cnt-1;n<cnt;m-=2,n+=2)
        fprintf(stdout,"INFO: %lf  %lf\n",number[n],number[m]);
    fflush(stdout);
}

/****************************** INVERTENV ******************************/

void invertenv(double piv)
{
    int n;
    for(n=1;n<cnt;n+=2)
        fprintf(stdout,"INFO: %lf  %lf\n",number[n-1],piv - number[n]);
    fflush(stdout);
}

/******************************** THRESH_CUT ****************************/

void thresh_cut(void)
{
    int n,m, k = 0;
    double ratio, *time;
    int isgreater = 0;
    if((cnt <= 0) || ((time = (double *)malloc(cnt * sizeof(double)))==NULL)) {
        fprintf(stdout,"ERROR: Insufficient memory.\n");
        return;
    }
    if(number[1] > factor)
        isgreater = 1;
    for(m=2,n=3;n<cnt;n+=2,m+=2) {
        switch(isgreater) {
        case(0):
            if(number[n] > factor) {
                ratio = (factor - number[n-2])/(number[n] - number[n-2]);
                time[k++] = ((number[m] - number[m-2]) * ratio) + number[m-2];
                isgreater = 1;
            }
            break;
        case(1):
            if(number[n] <= factor) {
                ratio = (factor - number[n-2])/(number[n] - number[n-2]);
                time[k++] = ((number[m] - number[m-2]) * ratio) + number[m-2];
                isgreater = 0;
            }
            break;
        }
    }
    if(k == 0) {
        fprintf(stdout,"ERROR: The values do not cross the threshold.\n");
        free(time);
        return;
    }
    for(n=0;n<k;n++)
        do_valout(time[n]);
    free(time);
}

/******************************** BAND_CUT ****************************/

void band_cut(void)
{
    int n,m, k = 0;
    double ratio, *time, z, hibnd, lobnd;
    int bandpos;
    if((cnt <= 0) || ((time = (double *)malloc(cnt * sizeof(double)))==NULL)) {
        fprintf(stdout,"ERROR: Insufficient memory.\n");
        return;
    }
    lobnd = number[cnt];
    hibnd = number[cnt+1];

    if(lobnd > hibnd) {
        z = lobnd;
        lobnd = hibnd;
        hibnd = z;
    }
    if(number[1] >= lobnd && number[1] <= hibnd)
        bandpos = 0;
    else if(number[1] < lobnd)
        bandpos = -1;
    else
        bandpos = 1;
    for(m=2,n=3;n<cnt;n+=2,m+=2) {
        switch(bandpos) {
        case(0):
            if(number[n] < lobnd) {            /* crosses out downwards */
                ratio = (lobnd - number[n-2])/(number[n] - number[n-2]);
                time[k++] = ((number[m] - number[m-2]) * ratio) + number[m-2];
                bandpos = -1;
            } else if(number[n] > hibnd) {     /* crosses out upwards */
                ratio = (hibnd - number[n-2])/(number[n] - number[n-2]);
                time[k++] = ((number[m] - number[m-2]) * ratio) + number[m-2];
                bandpos = 1;
            }
            break;
        case(1):
            if(number[n] <= hibnd) {                        /* crosses in from above */
                ratio = (hibnd - number[n-2])/(number[n] - number[n-2]);
                time[k++] = ((number[m] - number[m-2]) * ratio) + number[m-2];
                bandpos = 0;
            }
            if(number[n] < lobnd) {                 /* then possibly out below */
                ratio = (lobnd - number[n-2])/(number[n] - number[n-2]);
                time[k++] = ((number[m] - number[m-2]) * ratio) + number[m-2];
                bandpos = -1;
            }
            break;
        case(-1):
            if(number[n] >= lobnd) {                   /* crosses in from below */
                ratio = (lobnd - number[n-2])/(number[n] - number[n-2]);
                time[k++] = ((number[m] - number[m-2]) * ratio) + number[m-2];
                bandpos = 0;
            }
            if(number[n] > hibnd) {                 /* then possibly out above */
                ratio = (hibnd - number[n-2])/(number[n] - number[n-2]);
                time[k++] = ((number[m] - number[m-2]) * ratio) + number[m-2];
                bandpos = 1;
            }
            break;
        }
    }
    if(k == 0) {
        fprintf(stdout,"ERROR: The values in the 2nd column do not cross into or out of the specified band.\n");
        free(time);
        return;
    }
    for(n=0;n<k;n++)
        do_valout(time[n]);
    fflush(stdout);
    free(time);
}



/****************************** ENV_APPEND ******************************/

void env_append(void)
{
    int n, dojoin = 0;
    double first_endtime;

    first_endtime = number[firstcnt-2];
    if (factor < first_endtime) {
        fprintf(stdout,"ERROR: Second envelope starts before first one ends.\n");
        fflush(stdout);
        exit(1);
    } else if(flteq(factor,first_endtime)) {
        if(!flteq(number[firstcnt-1],number[firstcnt+1])) {
            fprintf(stdout,"ERROR: Abutting envelopes are not at same level (%lf and %lf).\n",number[firstcnt-1],number[firstcnt+1]);
            fflush(stdout);
            exit(1);
        }
        dojoin = 1;
    }
    for(n = firstcnt; n < cnt; n+=2) {
        number[n] += factor;
    }
    if(dojoin) {
        for(n=0;n<firstcnt;n+=2)
            do_valpair_out(number[n],number[n+1]);
        for(n=firstcnt+2;n<cnt;n+=2)
            do_valpair_out(number[n],number[n+1]);
    } else {
        for(n=0;n<cnt;n+=2)
            do_valpair_out(number[n],number[n+1]);
    }
    fflush(stdout);
}

/****************************** ABUTT ******************************/

void abutt(void)
{
    int n,m = 0, i;
    double displace;
    int indx = 0;
    for(i=0;i<infilecnt-1;i++) {                    /* check abutting values match */
        indx += file_cnt[i];
        if(!flteq(number[indx-1],number[indx+1])) {
            fprintf(stdout,"ERROR: Abutting values between files %d and %d do not match\n",i+1,i+2);
            fflush(stdout);
            exit(1);
        }
    }
    for(n=0;n < file_cnt[0]; n+=2) {                /* print all of file 1 */
        fprintf(stdout, "INFO: %lf  %lf\n",number[m],number[m+1]);
        m += 2;
    }
    displace = number[m-2];                                 /* displace by last time in 1st file */
    for(i = 1; i <infilecnt; i++) {                 /* for all other files */
        m += 2;                                                         /* skip first (abutting) value */
        for(n=2;n < file_cnt[i]; n+=2) {        /* for all other values in file - displace time values */
            fprintf(stdout, "INFO: %lf  %lf\n",number[m] + displace,number[m+1]);
            m += 2;
        }
        displace += number[m-2];                        /* increase displacement by last time in this file */
    }
    fflush(stdout);
}

/****************************** QUANTISE_TIME ******************************/

void quantise_time(void)
{
    int n;
    for(n=0;n<cnt;n+=2)
        fprintf(stdout,"INFO: %lf  %lf\n",round(number[n]/factor) * factor,number[n+1]);
    fflush(stdout);
}

/****************************** QUANTISE_VAL ******************************/

void quantise_val(void)
{
    int n;
    for(n=0;n<cnt;n+=2)
        fprintf(stdout,"INFO: %lf  %lf\n",number[n],round(number[n+1]/factor) * factor);
    fflush(stdout);
}

/****************************** EXPAND_TABLE_DUR_BY_FACTOR ******************************/

void expand_table_dur_by_factor(void)
{
    int n;
    for(n=0;n<cnt;n+=2)
        fprintf(stdout,"INFO: %lf  %lf\n",number[n] * factor,number[n+1]);
    fflush(stdout);
}

/****************************** EXPAND_TABLE_VALS_BY_FACTOR ******************************/

void expand_table_vals_by_factor(void)
{
    int n;
    for(n=0;n<cnt;n+=2)
        fprintf(stdout,"INFO: %lf  %lf\n",number[n],number[n+1] * factor);
    fflush(stdout);
}

/****************************** EXPAND_TABLE_TO_DUR ******************************/

void expand_table_to_dur(void)
{
    int n;
    double ratio;

    if(number[cnt-2] <= 0.0) {
        fprintf(stdout,"ERROR: Final time in table is zero: cannot proceed.\n");
        return;
    }
    ratio = factor/number[cnt-2];

    for(n=0;n<cnt;n+=2)
        fprintf(stdout,"INFO: %lf  %lf\n",number[n] * ratio,number[n+1]);
    fflush(stdout);
}

/****************************** CUT_TABLE_AT_TIME ******************************/

void cut_table_at_time(void)
{
    int n;
    double timediff,valdiff,timeratio,outval;

    for(n=0;n<cnt;n+=2) {
        if(flteq(number[n],factor)) {
            fprintf(stdout,"INFO: %lf  %lf\n",number[n],number[n+1]);
            break;
        } else if(number[n] < factor) {
            fprintf(stdout,"INFO: %lf  %lf\n",number[n],number[n+1]);
        } else if(n==0) {
            fprintf(stdout,"WARNING: No values occur before the cut-off time\n");
            break;
        } else {
            timediff  = number[n] - number[n-2];
            valdiff   = number[n+1] - number[n-1];
            timeratio = (factor - number[n-2])/timediff;
            valdiff  *= timeratio;
            outval  = number[n-1] + valdiff;
            fprintf(stdout,"INFO: %lf  %lf\n",factor,outval);
            break;
        }
    }
    fflush(stdout);
}

/****************************** EXTEND_TABLE_TO_DUR ******************************/

void extend_table_to_dur(void)
{
    int n;
    for(n=0;n<cnt;n+=2)
        fprintf(stdout,"INFO: %lf  %lf\n",number[n],number[n+1]);
    fprintf(stdout,"INFO: %lf  %lf\n",factor,number[n-1]);
    fflush(stdout);
}

/****************************** LIMIT_TABLE_VAL_RANGE ******************************/

void limit_table_val_range(void)
{
    int n;
    if(condit) {
        for(n=1;n<cnt;n+=2) {
            number[n] = min(factor, number[n]);
            number[n] = max(number[n],thresh);
            fprintf(stdout,"INFO: %lf  %lf\n",number[n-1],number[n]);
        }
    } else {
        for(n=1;n<cnt;n+=2) {
            number[n] = min(factor,number[n]);
            fprintf(stdout,"INFO: %lf  %lf\n",number[n-1],number[n]);
        }
    }
    fflush(stdout);
}

/****************************** SUBSTITUTE ******************************/

void substitute(void)
{
    int n;
    for(n=0;n<cnt;n++) {
        if(flteq(number[n],thresh))
            number[n] = factor;
        fprintf(stdout,"INFO: %lf\n",number[n]);
    }
    fflush(stdout);
}

/****************************** SUBSTITUTE_ALL ******************************/

void substitute_all(void)
{
    int n;
    for(n=0;n<stringscnt;n++)
        fprintf(stdout,"INFO: %s\n",string);
    fflush(stdout);
}

/****************************** SUBSTITUTE ******************************/

void mean_of_reversed_pairs(void)
{
    int n;
    double z1;
    for(n=1;n<cnt;n++) {
        if(number[n]<number[n-1]) {
            z1 = (number[n] + number[n-1])/2.0;
            number[n-1]     = z1 - FLTERR;
            if((n-2 > 0) && number[n-2] >= number[n-1]) {
                fprintf(stdout,"WARNING: numbers %d (%lf) and %d (%lf) failed to be separated.\n",
                        n,number[n-1],n+1,number[n]);
                fflush(stdout);
                return;
            }
            number[n]   = z1 + FLTERR;
            if((n+1 < cnt) && number[n+1] <= number[n]) {
                fprintf(stdout,"WARNING: numbers %d (%lf) and %d (%lf) failed to be separated.\n",
                        n+1,number[n],n+2,number[n+1]);
                fflush(stdout);
                return;
            }
        }
    }
    for(n=0;n<cnt;n++)
        fprintf(stdout,"INFO: %lf\n",number[n]);
    fflush(stdout);
}

/****************************** CONVERT_SPACE_TEX_TO_PAN ******************************/

void convert_space_tex_to_pan(void)
{
    int n;
    for(n=1;n<cnt;n+=2) {
        number[n] *=2.0;
        number[n] -=1.0;
    }
    for(n=0;n<cnt;n+=2)
        fprintf(stdout,"INFO: %lf  %lf\n",number[n],number[n+1]);
    fflush(stdout);
}

/****************************** CONVERT_SPACE_PAN_TO_TEX ******************************/

void convert_space_pan_to_tex(void)
{
    int n;
    for(n=1;n<cnt;n+=2) {
        number[n] *=0.5;
        number[n] +=0.5;
    }
    for(n=0;n<cnt;n+=2)
        fprintf(stdout,"INFO: %lf  %lf\n",number[n],number[n+1]);
    fflush(stdout);
}

/****************************** CONVERT_TO_EDITS ******************************/

void convert_to_edits(void)
{
    int n;
    double start, end;
    for(n=0;n<cnt-1;n++) {
        start = max(0.0,number[n] - factor);
        end = max(0.0,number[n+1] + factor);
        fprintf(stdout,"INFO: %lf  %lf\n",start,end);
    }
    fflush(stdout);
}

/****************************** COSIN_SPLINE ******************************/

void cosin_spline(void)
{
    int n, cnt_less_one;
    double val, valchange, skew, startval ,endval;
    skew = number[3];
    startval = number[1];
    endval   = number[2];
    valchange = endval - startval;
    cnt_less_one = cnt - 1;
    if(flteq(skew,1.0)) {
        for(n=0;n<cnt;n++) {
            val  = ((double)n/(double)cnt_less_one) * PI;
            val  = cos(val);
            val += 1.0;
            val /= 2.0;
            val  = 1.0 - val;
            val  = max(0.0,val);
            val  = min(val,1.0);
            val *= valchange;
            val += startval;
            fprintf(stdout,"INFO: %lf\n",val);
        }
    } else {
        for(n=0;n<cnt;n++) {
            val  = ((double)n/(double)cnt_less_one);        /* val in 0 -1 range */
            val  = pow(val,skew);                                           /* val skewed, still in 0-1 range */
            val  = val * PI;                                                        /* (skewed) val in range 0 to PI */
            val  = cos(val);                                                        /* cosin val running from 1 to -1 */
            val += 1.0;                                                                     /* cosin val running from 2 to 0  */
            val /= 2.0;                                                                     /* cosin val running from 1 to 0  */
            val  = 1.0 - val;                                                       /* cosin val running from 0 to 1  */
            val  = max(0.0,val);                                            /* ensure 0-1 range not exceeeded */
            val  = min(val,1.0);
            val *= valchange;                                                       /* apply cosin shape to val change */
            val += startval;                                                        /* add cosin change to initial val */
            fprintf(stdout,"INFO: %lf\n",val);
        }
    }
    fflush(stdout);
}

/****************************** DISTANCE_FROM_GRID ******************************/

void distance_from_grid(void)
{
    int n, m, besterror;
    double *diff = (double *)exmalloc((cnt-1)*sizeof(double));
    double *error = (double *)exmalloc(21 * sizeof(double));
    double maxdiff = 0.0, mindiff = 0.0, lastmindiff, diffrange, diffstep, thisdiff, thisgrid, minerror;
    double lowlimit = FLTERR/10000;

    for(n=0;n<cnt-1;n++) {
        diff[n] = number[n+1] - number[n];

        /*
          if(diff[n]  <= 0.0) {
          fprintf(stdout, "ERROR: Process only works with increasing sequences of numbers.\n");
          fflush(stdout);
          exit(1);
          }
        */
        if(n==0) {
            mindiff = diff[0];
            maxdiff = diff[0];
        } else {
            mindiff = min(diff[n],mindiff);
            maxdiff = max(diff[n],maxdiff);
        }
    }

    lastmindiff = mindiff;
    while((diffrange = maxdiff - mindiff) > lowlimit * 20.0) {
        diffstep = diffrange/20.0;
        thisdiff = mindiff;
        for(m=0;m<=20;m++) {
            error[m] = 0;
            thisgrid = number[0];
            for(n=1;n<cnt;n++) {
                thisgrid += thisdiff;
                error[m] += fabs(number[n] - thisgrid);
            }
            thisdiff += diffstep;
        }
        minerror = error[0];
        besterror = 0;
        for(m=1;m<=20;m++) {
            if(minerror > error[m]) {
                minerror = error[m];
                besterror = m;
            }
        }
        mindiff = mindiff + (besterror * diffstep);
        lastmindiff = mindiff;
        maxdiff = mindiff + diffstep;
        mindiff -= diffstep;
    }
    thisgrid = number[0];
    for(n=0;n<cnt;n++) {
        thisdiff = number[n] - thisgrid;
        if(thisdiff < 0.0 && thisdiff > -FLTERR)
            thisdiff = 0.0;
        fprintf(stdout,"INFO: %lf\n",thisdiff);
        thisgrid += lastmindiff;
    }
    fflush(stdout);
}

/****************************** SINUSOID ******************************/

void sinusoid(void) {
    double maxval  = number[0], minval  = number[1];
    double range   = maxval - minval;
    double phase   = (fmod(number[2],360.0)/360.0) * TWOPI;
    double periods = number[3];
    double valdens = number[4];
    int n, valcnt = (int)floor((periods * valdens) + 1.0);
    double val, phasestep = TWOPI/valdens;

    for(n = 0; n < valcnt; n++) {
        val = (sin(phase) + 1.0)/2.0;
        val *= range;
        val += minval;
        fprintf(stdout,"INFO: %lf\n",val);
        phase = phase + phasestep; /* should be fmod by TWOPI, but seems to work without this */
    }
    fflush(stdout);
}

/****************************** RAND_INTS_WITH_FIXED_ENDS ****************************/

void rand_ints_with_fixed_ends(void)
{
    int z, n, m, i, k, j, j1, j2, repets, fullperms, partperm, startval, finval;
    int range, rangbot, arrsiz, endcnt, endval, allowed, checkpart, done = 0;
    int *arr, *arr2, *perm;

    repets = round(number[5]);
    startval = round(number[3]);
    finval   = round(number[4]);
    j1 = round(number[1]);
    j2 = round(number[2]);
    range = abs(j2 - j1) + 1;
    rangbot = (int)min(j1,j2);
    arrsiz = range * repets;
    ifactor = round(number[0]) - 2;
    fullperms = ifactor / arrsiz;
    partperm = ifactor - (fullperms * arrsiz);
    if(partperm == 0) {
        fullperms--;            /* The last set of vals has to be calculated separately */
        partperm = arrsiz;      /* as, unlike others, it will have to be compared with the finval */
    }

    if((arr = (int *)malloc(arrsiz * sizeof(int)))==NULL) {
        fprintf(stdout,"ERROR: Out of memory.\n");
        fflush(stdout);
        exit(1);
    }
    if((perm = (int *)malloc(arrsiz * sizeof(int)))==NULL) {
        fprintf(stdout,"ERROR: Out of memory.\n");
        fflush(stdout);
        exit(1);
    }
    if((arr2 = (int *)malloc(repets * sizeof(int)))==NULL) {
        fprintf(stdout,"ERROR: Out of memory.\n");
        fflush(stdout);
        exit(1);
    }
    n = 0;
    for(j=0;j<repets;j++) {                                 /* fill array with REPET copies of values. */
        z = rangbot;                                            /* this set can be permd AS A WHOLE, as repet adjacent copies of any val */
        for(i=0;i<range;i++)                            /* which might arise in perming this set, are allowed */
            arr[n++] = z++;
    }
    endcnt = 0;                                                             /* number of items repeated at end of previous perm */
    endval = startval;                                              /* value (possibly repeated) at end of previous perm */
    /* initially this is just the 'startval' fixed by the user */
    allowed = repets - 1;                                   /* number of permissible repetitions of this val at start of NEW perm */
    checkpart = arrsiz - repets;                    /* items at end of array to test for repetitions */
    n = 0;
    fprintf(stdout,"INFO: %d\n",startval);  /* Output user-specified first value */
    while(n < fullperms) {
        do_repet_restricted_perm(arr,perm,arrsiz,allowed,endval);
        j = 0;
        for(m = 0;m <arrsiz;m++) {
            k = arr[perm[m]];
            fprintf(stdout,"INFO: %d\n",k);
            if(m >= checkpart)                              /* save last checkable stretch of perm */
                arr2[j++] = k;
        }
        fflush(stdout);
        j--;
        endval = arr2[j--];                                     /* note the val at end of perm */
        endcnt = 1;                                                     /* and count it */
        for(k = j; k>= 0; k--) {
            if(arr2[k] == endval)                   /* check adjacent vals, for repetition of value: count */
                endcnt++;
            else                                                    /* if no more repetitions, finish counting */
                break;
        }
        allowed = repets - endcnt;                      /* get number of permissible repets at start of next perm */
        n++;
    }
    k = partperm - 1;       /* index of last item of next perm which will actually be outputted */
    j = repets - 1;         /* How many items at end of partperm, other than item k, which need to be checked for value-repetition */
    while(!done) {
        do_repet_restricted_perm(arr,perm,arrsiz,allowed,endval);
        for(n=k;n>=k - j;n--) {
            if(arr[perm[n]] == finval) {    /* Check end vals of the-set-of-values-in-the-final-perm-which-will-actually-be-outputted */
                if(allowed == 0)                        /* against 'finval', to avoid too many value-repetitions at end of output */
                    break;
                else
                    allowed--;
            } else {
                done = 1;
                break;
            }
        }
    }
    for(m = 0;m <partperm;m++) {
        k = arr[perm[m]];
        fprintf(stdout,"INFO: %d\n",k);
    }
    fprintf(stdout,"INFO: %d\n",finval);
    fflush(stdout);
}

/****************************** RAND_ZIGS ****************************/

void rand_zigs(void)
{
    int n, k, j, j1, j2, finval, range, rangbot, arrsiz, outvals, lastval, t, done;
    int *arr, *perm;

    outvals = round(number[0]);
    j1 = round(number[1]);
    j2 = round(number[2]);
    finval = round(number[3]);
    range = abs(j2 - j1) + 1;
    rangbot = (int)min(j1,j2);
    if(finval < rangbot || finval > (int)max(j1,j2)) {
        fprintf(stdout,"ERROR: Final value specified does not lie within the range of values specified.\n");
        fflush(stdout);
        exit(1);
    }
    arrsiz = range;
    if((arr = (int *)malloc(arrsiz * sizeof(int)))==NULL) {
        fprintf(stdout,"ERROR: Out of memory.\n");
        fflush(stdout);
        exit(1);
    }
    if((perm = (int *)malloc(arrsiz * sizeof(int)))==NULL) {
        fprintf(stdout,"ERROR: Out of memory.\n");
        fflush(stdout);
        exit(1);
    }
    k = rangbot;                                            /* this set can be permd AS A WHOLE, as repet adjacent copies of any val */
    for(n=0;n<range;n++)                            /* which might arise in perming this set, are allowed */
        arr[n] = k++;
    j = 0;
    lastval = rangbot - 1;
    done = 0;
    while(j < outvals) {
        for(n=0;n<arrsiz;n++) {
            t = (int)(drand48() * (double)(n+1)); /* Do Perm */
            if(t==n)
                hhprefix(n,arrsiz,perm);
            else
                hhinsert(n,t,arrsiz,perm);
        }
        for(n=0;n<arrsiz;n++) {
            if (lastval < arr[perm[n]])  {
                k = lastval + 1;
                while(k < arr[perm[n]]) {
                    fprintf(stdout,"INFO: %d\n",k);
                    if(++j >= outvals) {
                        lastval = k;
                        done = 1;
                        break;
                    }
                    k++;
                }
            } else if(lastval > arr[perm[n]]) {
                k = lastval - 1;
                while(k > arr[perm[n]]) {
                    fprintf(stdout,"INFO: %d\n",k);
                    if(++j >= outvals) {
                        lastval = k;
                        done = 1;
                        break;
                    }
                    k--;
                }
            } else {                /* next perm val can only be equal to previous at join of two different perms */
                break;          /* in this case, get a different perm */
            }
            if(done) {
                break;
            }
            lastval = arr[perm[n]];
            fprintf(stdout,"INFO: %d\n",lastval);
            j++;
        }
    }
    if(lastval < finval) {
        lastval++;
        while(lastval <= finval) {
            fprintf(stdout,"INFO: %d\n",lastval);
            lastval++;
        }
    } else if(lastval > finval) {
        lastval--;
        while(lastval >= finval) {
            fprintf(stdout,"INFO: %d\n",lastval);
            lastval--;
        }
    }
    fflush(stdout);
}

/************************** ELIMINATE_DUPLTEXT *************************/

void eliminate_dupltext(void)
{
    int m,n,k;
    for(n=0;n<stringscnt-1;n++) {
        for(m=n+1;m<stringscnt;m++) {
            if(!strcmp(strings[n],strings[m])) {
                for(k = m;k < stringscnt-1; k++)
                    strings[k] = strings[k+1];
                m--;
                stringscnt--;
            }
        }
    }
    for(n=0; n < stringscnt;n++)
        do_stringout(strings[n]);
    fflush(stdout);
}

/************************** RANDOM_WARP *************************/
/* RWD 2025 'fp' changed to 'myfp', avoid clash with global decl  */
void random_warp(void)
{
    int n, wcnt;
    float *warpvals, *number2;
    double lastsum, diff, warp, dummy;
    FILE *myfp;
    char *p;
    arraysize = 100;
    if((warpvals = (float *)malloc(arraysize * sizeof(float)))==NULL) {
        fprintf(stdout,"ERROR: Out of memory.\n");
        fflush(stdout);
        return;
    }
    if((myfp = fopen(string,"r"))==NULL) {
        sprintf(errstr,"Cannot open infile %s\n",string);
        do_error();
    }
    wcnt = 0;
    while(fgets(temp,20000,myfp)!=NULL) {
        p = temp;
        while(strgetfloat(&p,&dummy)) {
            warpvals[wcnt] = (float)dummy;
            if(++wcnt >= arraysize) {
                arraysize += BIGARRAY;
                if((number2=(float *)malloc(arraysize*sizeof(float)))==NULL) {
                    sprintf(errstr,"Out of memory for more warp values at %d numbers\n",cnt);
                    do_error();
                }
                memcpy((void *)number2,(void *)warpvals,cnt * sizeof(float));
                warpvals = number2;
            }
        }
    }
    fclose(myfp);
    if(wcnt ==0 || (wcnt & 1)) {
        sprintf(errstr,"Invalid or missing warp data.\n");
        do_error();
    }
    lastsum = number[0];
    do_valout(lastsum);
    for(n=1;n<cnt;n++) {
        diff = number[n] - number[n-1];
        warp = readbrk(warpvals,number[n],wcnt);
        warp = (((drand48() * 2.0) - 1.0) * warp) + 1.0;
        diff *= warp;
        lastsum += diff;
        do_valout(lastsum);
    }
}

double readbrk(float *warpvals,double time,int wcnt)
{
    int n, got = 0;
    double wlasttime = 0.0, wlastval=0.0, wthistime=0.0, wthisval=0.0, val;
    double timeratio, valdiff;
    for(n = 0; n< wcnt; n+= 2) {
        if(warpvals[n] < time) {
            wlasttime = warpvals[n];
            wlastval  = warpvals[n+1];
        } else {
            wthistime = warpvals[n];
            wthisval  = warpvals[n+1];
            got = 1;
            break;
        }
    }
    if(!got)
        return (double)warpvals[wcnt - 1];
    valdiff   = wthisval  - wlastval;
    timeratio = (time - wlasttime)/(wthistime - wlasttime);
    val = (valdiff * timeratio) + wlastval;
    return val;
}