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datum.c
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#include "post.h"
#include <math.h>
#include <stdio.h>
#include <stdlib.h>
#include <unistd.h> /* for sleep() */
static int mem_use=0;
static int debug=0;
int readnext( DATUM **list, DATUM *datumold, DATUM *datum);
int docode(double ttb2,double ttb,double tta2,double tta);
double xinterp(double tt, double x2, double y2, double x1, double y1);
void emit(BINOP op, DATUM **result, double *tmax, DATUM *datuma, DATUM *datumb);
DATUM *twovectors( BINOP op, DATUM *a, DATUM *b);
int dat_stat() { /* return number of malloc'd datums */
return (mem_use);
}
// given a PWL *var, and an independant variable *pt
// return the value of the PWL at (time/frequency) *pt
DATUM * interp(DATUM *var, DATUM *pt) { /* interpolate a PWL */
DATUM *pd;
double t, told;
double x, xold;
double i, iold;
if (var == NULL || pt == NULL) {
return(NULL);
}
pd = var;
if (pd->next == NULL) {
return(NULL);
}
told = pd->iv;
xold = pd->re;
iold = pd->im;
for (pd=pd->next; pd!=NULL; pd=pd->next) {
t = pd->iv;
x = pd->re;
i = pd->im;
if (told <= pt->re && t >= pt->re) {
return (
new_dat( x+(xold-x)*(t-pt->re)/(t-told),
i+(iold-i)*(t-pt->re)/(t-told))
);
}
iold = i;
told = t;
xold = x;
}
return (NULL);
}
//
// Inserting into a single linked list is a highly inefficient n^2 procedure
// so we modify DATUM to have a prev pointer to keep tail address handy
//
// ----------- -----------
// | | | |
// V | V |
// -->[element1]---->[elem2]----->[e3]---->|null
// | ^
// | |
// --------------------------+
//
// So every element points to it's predecessor, except the first element
// which points at the last one.
//
//
DATUM * link_dat(DATUM *head, DATUM *tail) { /* link two DATUMs */
DATUM *tmp;
if (head == NULL) { /* linking tail to NULL */
head = tail;
tail->prev=tail;
} else if (head->prev == NULL) { /* linking two scalars */
head->next = tail;
head->prev = tail;
tail->prev = head;
} else { /* linking scalar tail to vector head */
tmp = head->prev; /* last element */
tmp->next = tail; /* append new element */
head->prev = tail; /* make head point to new tail */
tmp->next->prev = tmp; /* make new point */
}
return (head);
}
DATUM * dup_dat(DATUM *p) { /* duplicate a DATUM list */
DATUM *pd;
DATUM *new;
DATUM *pn;
DATUM *tmp;
new = pn = new_dat(p->re, p->im);
pn->iv = p->iv;
pn->def = strsave(p->def);
for (pd=p->next; pd!=NULL; pd=pd->next) {
tmp = new_dat(pd->re, pd->im);
tmp->iv = pd->iv;
link_dat(new, tmp);
}
return(new);
}
DATUM * new_dat(double re, double im) { /* malloc a permanent DATUM type */
DATUM *p;
mem_use++;
p = (DATUM *) malloc(sizeof(DATUM));
p -> iv = 0.0; /* independent variable for list of data points */
p -> re = re; /* real part of complex value */
p -> im = im; /* imag part of complex value */
p -> def = NULL; /* textual equivalent */
p -> next = (DATUM *) NULL;
p -> prev = (DATUM *) NULL;
if (debug) printf("creating datum %g %g\n", re, im);
return (p);
}
void free_dat(DATUM *p) { /* free a DATUM type */
DATUM *pd;
DATUM *ps;
if (debug) printf("freeing datum %g %g\n", p->re, p->im);
for (pd=p; pd!=NULL; pd=ps) {
ps = pd->next;
if(pd->def != NULL) {
free(pd->def);
}
free(pd);
if (debug) printf("free\n");
mem_use--;
}
}
void print_dat(DATUM *p) { /* format and print a datum */
DATUM *pd;
if (p == NULL) {
printf("\t <NULL>\n");
} else if (p->next != NULL) {
printf("\t{\n");
for (pd=p; pd!=NULL; pd=pd->next) {
printf("\t %.12g,", pd->iv);
if (pd->im == 0.0) {
printf("%.12g;\n", pd->re); /* 8+0i prints as "8" */
} else {
if (pd->re == 0.0) {
if (pd->im == 1.0) {
printf("i;\n"); /* 1i => "i" */
} else {
printf("%.12gi;\n", pd->im); /* 2i => "2i" */
}
} else {
if (pd->im == 1.0) {
printf("%.12g+i;\n", pd->re); /* 8+1i => "8+i" */
} else {
printf("%.12g%+.12gi;\n", pd->re, pd->im); /* 8+2i => "8+2i */
}
}
}
}
printf("\t}\n");
} else {
if (p->im == 0.0) {
printf("%.12g", p->re); /* 8+0i prints as "8" */
} else {
if (p->re == 0.0) {
if (p->im == 1.0) {
printf("i"); /* 1i => "i" */
} else {
printf("%.12gi", p->im); /* 2i => "2i" */
}
} else {
if (p->im == 1.0) {
printf("%.12g+i", p->re); /* 8+1i => "8+i" */
} else {
printf("%.12g%+.12gi", p->re, p->im); /* 8+2i => "8+2i */
}
}
}
}
}
DATUM * scalar(BINOP operation, DATUM *a, DATUM *b) { /* do a binary operation on scalar DATUMS */
DATUM *tmp;
double re1, im1;
double re2, im2;
/* this is a service function for binary() */
/* we ignore [ab]->next, [ab]->iv and let binary() handle those details */
switch (operation) {
case ADD:
return(new_dat(a->re + b->re, a->im + b->im));
break;
case AVG:
return(new_dat((a->re + b->re)/2.0, (a->im + b->im)/2.0));
break;
case DIV:
return(
new_dat(
(a->re*b->re + a->im*b->im) / (b->im*b->im + b->re*b->re),
(-a->re*b->im + b->re*a->im) / (b->im*b->im + b->re*b->re)
)
);
break;
case MAX:
if ((a->re) > (b->re)) {
return(new_dat(a->re, a->im));
} else {
return(new_dat(b->re, b->im));
}
break;
case MIN:
if ((a->re) > (b->re)) {
return(new_dat(b->re, b->im));
} else {
return(new_dat(a->re, a->im));
}
break;
case MOD:
return(new_dat(fmod(a->re, b->re),0.0));
break;
case MULT:
re1 = (a->re * b->re) - (a->im * b->im);
im1 = (a->re * b->im) + (a->im * b->re);
return(new_dat(re1, im1));
break;
case POW:
if (a->im == 0.0 && b->im == 0.0) {
return( new_dat( pow(a->re,b->re), 0.0) );
} else {
/* ln(z) */
re1 = log(sqrt((a->re*a->re + a->im*a->im)));
im1 = atan2(a->im, a->re);
/* multiply ln(z) by u */
re2 = re1*b->re - im1*b->im;
im2 = re1*b->im + b->re*im1;
/* take exp(re2 + i*im2) */
return( new_dat( exp(re2)*cos(im2), exp(re2)*sin(im2) ));
}
break;
case SUB:
return(new_dat(a->re - b->re, a->im - b->im));
break;
case WARP:
tmp = new_dat(a->re, a->im);
tmp->iv = a->iv + b->re;
return(tmp);
break;
case VERSUS:
tmp = new_dat(a->re, a->im);
tmp->iv = b->re;
return(tmp);
break;
default:
printf("bad case in scalar/scalar binary op table\n");
return(new_dat(0.0, 0.0));
break;
}
printf("fell off scalar without matching any cases!\n");
return(new_dat(0.0, 0.0));
}
DATUM * binary(BINOP op, DATUM *a, DATUM *b) { /* do a binary operation on vector DATUMS */
DATUM *tmp;
DATUM *p;
DATUM *head;
if (b == NULL) {
printf("function needs two arguments!\n");
return(NULL);
}
int b_is_scalar = 0;
if (a->next == NULL && b->next == NULL) { /* both scalar */
return(scalar(op, a, b));
} else if (a->next != NULL && b->next != NULL) { /* both vector */
return(twovectors(op, a, b));
} else { /* mixed */
if (b->next == NULL) {
b_is_scalar++; /* flag b as scalar */
}
head = scalar(op, a, b);
if (b_is_scalar) {
if (op != WARP) head->iv = a->iv;
for (p=a->next; p!=NULL; p=p->next) {
tmp = scalar(op, p, b);
if (op != WARP) tmp->iv = p->iv;
link_dat(head,tmp);
}
} else {
if (op != WARP) head->iv = b->iv;
for (p=b->next; p!=NULL; p=p->next) {
tmp = scalar(op, a, p);
if (op != WARP) tmp->iv = p->iv;
link_dat(head,tmp);
}
}
return(head);
}
printf("fell off binary without matching any cases!\n");
return(new_dat(0.0, 0.0));
}
double xinterp(double tt, double x2, double y2, double x1, double y1) {
if (x2 > x1 || tt < x2 || tt > x1) {
printf("xinterp args out of bounds, non-monotonic time signal?\n");
}
return (y1+(y2-y1)*(tt-x1)/(x2-x1));
}
/* return a DATUM interpolated between a2 and a1 at time t */
DATUM *zint(double t, DATUM *a2, DATUM *a) {
double re, im;
DATUM *tmp;
if (a2->iv > a->iv || t < a2->iv || t > a->iv) {
printf("zint args out of bounds, non-monotonic time signal?\n");
}
re = xinterp(t, a2->iv, a2->re, a->iv, a->re);
im = xinterp(t, a2->iv, a2->im, a->iv, a->im);
tmp = new_dat(re, im);
tmp->iv = t;
return (tmp);
}
DATUM *twovectors( BINOP op, DATUM *a, DATUM *b) {
double tmax;
int error = 0;
int c;
int reta, retb;
DATUM *lista;
DATUM *listb;
DATUM *result=NULL;
DATUM datuma2;
DATUM datuma;
DATUM datumb2;
DATUM datumb;
DATUM *tmp1;
DATUM *tmp2;
lista = a;
listb = b;
/* get set up */
if ((reta = readnext(&lista, &datuma2, &datuma)) == 0) error++;
if ((reta = readnext(&lista, &datuma2, &datuma)) == 0) error++;
if ((retb = readnext(&listb, &datumb2, &datumb)) == 0) error++;
if ((retb = readnext(&listb, &datumb2, &datumb)) == 0) error++;
/* set the tmax variable (the highest time outputted) */
/* to be the most early time point */
tmax = datuma2.iv;
if (datumb2.iv < tmax) tmax = datumb2.iv;
tmax-=1.0;
if (error) { printf("not enough points!"); exit(1); }
c = docode(datumb2.iv, datumb.iv, datuma2.iv, datuma.iv);
while (reta != 0 && retb != 0) {
c = docode(datumb2.iv, datumb.iv, datuma2.iv, datuma.iv);
if (c == 0) {
retb = readnext(&listb, &datumb2, &datumb);
} else if (c == 24) {
reta = readnext(&lista, &datuma2, &datuma);
} else if (c==1 || c == 2 || c == 7 || c == 6) { /* 6 is bug fix for coincident points */
emit(op, &result, &tmax, &datuma2, tmp1=zint(datuma2.iv, &datumb2, &datumb));
emit(op, &result, &tmax, tmp2=zint(datumb.iv, &datuma2, &datuma), &datumb);
free_dat(tmp1); free_dat(tmp2);
retb = readnext(&listb, &datumb2, &datumb);
} else if (c==12 || c == 13 ) {
emit(op, &result, &tmax, tmp1=zint(datumb2.iv, &datuma2, &datuma), &datumb2);
emit(op, &result, &tmax, tmp2=zint(datumb.iv, &datuma2, &datuma), &datumb);
free_dat(tmp1); free_dat(tmp2);
retb = readnext(&listb, &datumb2, &datumb);
} else if (c==8 || c == 4 || c == 3) {
emit(op, &result, &tmax, &datuma2, tmp1=zint(datuma2.iv, &datumb2, &datumb));
emit(op, &result, &tmax, &datuma, tmp2=zint(datuma.iv, &datumb2, &datumb));
free_dat(tmp1); free_dat(tmp2);
reta = readnext(&lista, &datuma2, &datuma);
} else if (c==9 || c == 14 || c == 19) {
emit(op, &result, &tmax, tmp1=zint(datumb2.iv, &datuma2, &datuma), &datumb2);
emit(op, &result, &tmax, &datuma, tmp2=zint(datuma.iv, &datumb2, &datumb));
free_dat(tmp1); free_dat(tmp2);
reta = readnext(&lista, &datuma2, &datuma);
} else {
printf("bad case: %d!\n", c);
}
}
return(result);
}
/* do BINOP on datuma, and datumb, append the result to **result */
void emit(BINOP op, DATUM **result, double *tmax, DATUM *datuma, DATUM *datumb) {
static DATUM datuma_old;
static DATUM datumb_old;
DATUM *tmp;
DATUM *tmp1;
DATUM *tmp2;
// double told;
double t;
double x,y;
double xold, yold;
double tt, ttold, tint;
t = datuma->iv;
if (*result == NULL) { /* initialize old values */
datuma_old = *datuma;
datumb_old = *datumb;
// told = t;
}
if (t > *tmax) {
switch(op) {
case ADD:
case AVG:
case SUB:
case DIV:
case LAM:
case POW:
tmp = scalar(op, datuma, datumb); tmp->iv = t;
*result = link_dat(*result, tmp);
break;
case WARP:
case VERSUS:
tmp = scalar(op, datuma, datumb);
*result = link_dat(*result, tmp);
break;
case MULT: /* FIXME: need to find zero crossings */
case MAX:
case MIN:
case MOD:
/*
# find intersection * where x == y
# y = yyold + (yy-yyold)*(t-ttold)/(tt-ttold)
# x = xxold + (xx-xxold)*(t-ttold)/(tt-ttold)
#
# yyold + (yy-yyold)*(t-told)/(tt-told) =
# xxold + (xx-xxold)*(t-told)/(tt-told)
#
# yyold-xxold = ((xx-xxold)-(yy-yyold))*(t-told)/(tt-told)
#
# (yyold - xxold)/((xx-xxold)-(yy-yyold)) = (t-told)/(tt-told)
# t = (tt-told)*(yyold - xxold)/((xx-xxold)-(yy-yyold))+told
*/
if ((datuma_old.re > datumb_old.re && datuma->re < datumb->re) ||
(datuma_old.re < datumb_old.re && datuma->re > datumb->re) ) {
x = datuma->re;
y = datumb->re;
xold = datuma_old.re;
yold = datumb_old.re;
tt = datuma->iv;
ttold = datuma_old.iv;
tint = (tt-ttold)*(yold - xold)/((x-xold)-(y-yold))+ttold;
tmp = scalar(op,
tmp1=zint(tint, &datuma_old, datuma),
tmp2=zint(tint, &datumb_old, datumb)
);
free(tmp1); free(tmp2);
tmp->iv = tint;
*result = link_dat(*result, tmp);
}
tmp = scalar(op, datuma, datumb);
tmp->iv = t;
*result = link_dat(*result, tmp);
break;
default:
printf("bad mode: %d\n", op);
exit (1);
break;
}
datuma_old = *datuma;
datumb_old = *datumb;
// told = t;
*tmax = t;
}
}
int docode(double ttb2,double ttb,double tta2,double tta) {
int code = 0;
/*
# classify relationship between segments:
# each tb,tb2 point can lie in region 0,2,4 or
# at times 1,3. Multiply value of tb2*5 and
# add to value of tb:
#
# 0 1 2 3 4
#
# ta2 ta
# | |
# 0 tb2 tb | | ---------- read b
# 1 tb2 tb | out ta2, read b
# 2 tb2 | tb | out ta2/tb, read b
# 3 tb2 | tb out ta2/ta, read b *
# 4 tb2 | | tb out ta2/ta, read a
# 7 tb2 tb | out tb2/tb, read b
# 8 tb2 tb out ta2/ta, read b *
# 9 tb2 | tb out ta2/ta, read a
#12 | tb2 tb | out tb2/tb, read b
#13 | tb2 tb out tb2/tb read a *
#14 | tb2 | tb out tb2/ta read a
#19 | tb2 tb out tb2 read a
#24 | | tb2 tb ---------- read a
# | |
#
# now sort patterns into consistent blocks sharing same
# operation, making use of cases where there is more than
# one correct operation:
# -------------------------------------------------------
# 0 tb2 tb | | ---------- read b
# -------------------------------------------------------
#24 | | tb2 tb ---------- read a
# -------------------------------------------------------
# 1 tb2 tb | out ta2/tb read b
# 2 tb2 | tb | out ta2,tb, read b
# 7 tb2 tb | out tab2,tb, read b
# -------------------------------------------------------
#12 | tb2 tb | out tb2,tb, read b
#13 | tb2 tb out tb2,tab read ab *
# -------------------------------------------------------
# 8 tb2 tb out tab2,tab, read ab *
# 4 tb2 | | tb out ta2,ta, read a
# 3 tb2 | tb out ta2,ta, read ab *
# -------------------------------------------------------
# 9 tb2 | tb out tab2,ta, read a
#14 | tb2 | tb out tb2,ta read a
#19 | tb2 tb out tb2/ta read a
# -------------------------------------------------------
# we end up generating redundant points, but
# can suppress them by making sure output time grows
# monotonically.
*/
if (ttb <= tta2) {
if (ttb == tta2) {
code += 1;
}
} else if (ttb <= tta) {
if (ttb == tta) {
code += 3;
} else {
code += 2;
}
} else if (ttb > tta) {
code += 4;
}
if (ttb2 <= tta2) {
if (ttb2 == tta2) {
code += 5;
}
} else if (ttb2 <= tta) {
if (ttb2 == tta) {
code += 15;
} else {
code += 10;
}
} else if (ttb2 > tta) {
code += 20;
}
/* print "docode", tb2, tb, ta2, ta, code */
return(code);
}
int readnext( DATUM **list, DATUM *datumold, DATUM *datum) {
if ( *list == NULL ) {
return(0);
}
datumold->iv = datum->iv;
datumold->re = datum->re;
datumold->im = datum->im;
datum->iv = (*list)->iv;
datum->re = (*list)->re;
datum->im = (*list)->im;
*list = (*list)->next;
return(1);
}
/* ------------------------------------------------------------ */
DATUM * Sqrt(DATUM *a, DATUM *b) {
DATUM tmp;
if (b != NULL) {
printf("function sqrt takes only one argument!\n");
return(NULL);
}
tmp.re=0.5;
tmp.im=0.0;
tmp.next = NULL;
tmp.iv = 0.0;
tmp.def = NULL;
return(binary(POW, a, &tmp));
}
DATUM * Avg(DATUM *a, DATUM *b) {
DATUM *tmp;
DATUM *pd;
double miniv, maxiv;
double re, re2, im, im2, iv, iv2;
double reintegral=0.0;
double imintegral=0.0;
if (b != NULL) {
return(binary(AVG, a, b));
} else {
if (a->next == NULL) {
return(dup_dat(a));
}
miniv=a->iv;
maxiv=a->prev->iv;
re2=a->re;
im2=a->im;
iv2=a->iv;
for (pd=a->next; pd!=NULL; pd=pd->next) {
re=pd->re;
im=pd->im;
iv=pd->iv;
/* trapezoidal integration */
imintegral+=(iv-iv2)*(im+im2)/2.0;
reintegral+=(iv-iv2)*(re+re2)/2.0;
re2 = re;
im2 = im;
iv2 = iv;
}
tmp = new_dat(reintegral/(maxiv-miniv), imintegral/(maxiv-miniv));
return(tmp);
}
}
DATUM * Max(DATUM *a, DATUM *b) {
DATUM *max;
DATUM *pd;
if (b != NULL) {
return(binary(MAX, a, b));
} else {
max = new_dat(a->re, a->im);
if (a->next != NULL) {
for (pd=a->next; pd!=NULL; pd=pd->next) {
if (pd->re > max->re) {
max->re = pd->re;
max->im = pd->im;
}
}
}
}
return(max);
}
DATUM * Sin(DATUM *a, DATUM *b) {
if (b != NULL) {
printf("function sin takes only one argument!\n");
return(NULL);
} else {
return( new_dat( sin(a->re), 0.0 ) );
}
}
DATUM * Cos(DATUM *a, DATUM *b) {
if (b != NULL) {
printf("function cos takes only one argument!\n");
return(NULL);
} else {
return( new_dat( cos(a->re), 0.0 ) );
}
}
DATUM *Greater(DATUM *a, DATUM *b) {
if (b == NULL) {
printf("function Greater requires two arguments!\n");
return(NULL);
}
return(new_dat((a->re >= b->re),0.0));
}
DATUM *Less(DATUM *a, DATUM *b) {
if (b == NULL) {
printf("function Greater requires two arguments!\n");
return(NULL);
}
return(new_dat((a->re < b->re),0.0));
}
DATUM * Mod(DATUM *a, DATUM *b) {
if (b == NULL) {
printf("function Mod requires two arguments!\n");
return(NULL);
}
return(binary(MOD, a, b));
}
DATUM * Min(DATUM *a, DATUM *b) {
DATUM *min;
DATUM *pd;
if (b != NULL) {
return(binary(MIN, a, b));
} else {
min = new_dat(a->re, a->im);
if (a->next != NULL) {
for (pd=a->next; pd!=NULL; pd=pd->next) {
if (pd->re < min->re) {
min->re = pd->re;
min->im = pd->im;
}
}
}
}
return(min);
}
DATUM * Pow(DATUM *a, DATUM *b) {
return(binary(POW, a, b));
}
DATUM * Versus(DATUM *a, DATUM *b) {
return(binary(VERSUS, a, b));
}
DATUM * Warp(DATUM *a, DATUM *b) {
return(binary(WARP, a, b));
}
DATUM * Integral(DATUM *a, DATUM *b) {
DATUM *pd;
DATUM *result;
DATUM *new;
double reintegral=0.0;
double imintegral=0.0;
double re, im, re2, im2, iv, iv2;
if (b != NULL) {
printf("function integral takes only one argument!\n");
return(NULL);
}
if (a->next == NULL) {
return(new_dat(0.0, 0.0));
}
re2=a->re;
im2=a->im;
iv2=a->iv;
result=new_dat(0.0,0.0);
result->iv = a->iv;
for (pd=a->next; pd!=NULL; pd=pd->next) {
re=pd->re;
im=pd->im;
iv=pd->iv;
/* trapezoidal integration */
imintegral+=(iv-iv2)*(im+im2)/2.0;
reintegral+=(iv-iv2)*(re+re2)/2.0;
new = new_dat(reintegral, imintegral);
new->iv = iv;
result = link_dat(result, new);
re2 = re;
im2 = im;
iv2 = iv;
}
return(result);
}
DATUM * ui(DATUM *a, DATUM *b) {
DATUM *pd;
DATUM *result=NULL;
DATUM *tmp;
double re, re2, iv, iv2;
double oldtcross;
double tcross;
int cross = 0;
int debug=0;
if (b != NULL) {
printf("function ui takes only one argument!\n");
return(NULL);
}
if (a->next == NULL) {
return(new_dat(0.0, 0.0));
}
re=a->re;
iv=a->iv;
for (pd=a->next; pd!=NULL; pd=pd->next) {
re2 = re; re=pd->re;
iv2 = iv; iv=pd->iv;
// if ((re2 < 0 && re >= 0) || (re2 > 0 && re <= 0)) {
if ((re2 < 0 && re >= 0)) {
oldtcross = tcross;
tcross = (iv2 + (iv-iv2)*(0.0-re2)/(re-re2));
if (debug) printf("%g %g %g %g %g\n", iv2, re2, iv, re, tcross);
cross++;
if (cross > 1) {
tmp = new_dat(tcross-oldtcross, 0.0);
tmp->iv = (double) iv;
result = link_dat(result, tmp);
}
}
}
return(result);
}
DATUM * xcross(DATUM *a, DATUM *b) {
DATUM *pd;
DATUM *result=NULL;
DATUM *tmp;
double re, re2, iv, iv2;
double tcross;
int cross = 0;
int number;
int debug=0;
if (b == NULL) {
printf("function requires two arguments!\n");
return(NULL);
}
if (a->next == NULL) {
return(new_dat(0.0, 0.0));
}
number = (int) b->re;
if (number >= 0) { // normal behavior
re=a->re;
iv=a->iv;
for (pd=a->next; pd!=NULL; pd=pd->next) {
re2 = re; re=pd->re;
iv2 = iv; iv=pd->iv;
if ((re2 <= 0 && re >= 0) || (re2 >= 0 && re <= 0)) {
tcross = (iv2 + (iv-iv2)*(0.0-re2)/(re-re2));
if (debug) printf("%g %g %g %g %g\n", iv2, re2, iv, re, tcross);
cross++;
if ((number == 0)) {
tmp = new_dat(tcross, 0.0);
tmp->iv = (double) cross;
result = link_dat(result, tmp);
} else if (cross == number) {
result = link_dat(result, new_dat(tcross, 0.0));
}
}
}
} else { // count crossings from end of waveform
re=a->prev->re;
iv=a->prev->iv;
number *= -1;
for (pd=a->prev; pd!=a; pd=pd->prev) { // go backwards
re2 = re; re=pd->re;
iv2 = iv; iv=pd->iv;
if ((re2 <= 0 && re >= 0) || (re2 >= 0 && re <= 0)) {
tcross = (iv2 + (iv-iv2)*(0.0-re2)/(re-re2));
if (debug) printf("%g %g %g %g %g\n", iv2, re2, iv, re, tcross);
cross++;
if ((number == 0)) {
tmp = new_dat(tcross, 0.0);
tmp->iv = (double) cross;
result = link_dat(result, tmp);
} else if (cross == number) {
result = link_dat(result, new_dat(tcross, 0.0));
}
}
}
}
return(result);
}
DATUM * xcrossn(DATUM *a, DATUM *b) {
DATUM *pd;
DATUM *result=NULL;
DATUM *tmp;
double re, re2, iv, iv2;
double tcross;
int cross = 0;
int number;
int debug=0;
if (b == NULL) {
printf("function requires two arguments!\n");
return(NULL);
}
if (a->next == NULL) {
return(new_dat(0.0, 0.0));
}
number = (int) b->re;
if (number >= 0) { // normal behavior
re=a->re;
iv=a->iv;
for (pd=a->next; pd!=NULL; pd=pd->next) {
re2 = re; re=pd->re;
iv2 = iv; iv=pd->iv;
if ((re2 > 0 && re <= 0)) {
tcross = (iv2 + (iv-iv2)*(0.0-re2)/(re-re2));
if (debug) printf("%g %g %g %g %g\n", iv2, re2, iv, re, tcross);
cross++;
if ((number == 0)) {
tmp = new_dat(tcross, 0.0);
tmp->iv = (double) cross;
result = link_dat(result, tmp);
} else if (cross == number) {
result = link_dat(result, new_dat(tcross, 0.0));
}
}
}
} else { // count crossings from end of waveform
re=a->re;
iv=a->iv;
number *= -1;
for (pd=a->prev; pd!=a; pd=pd->prev) { // go backwards
re2 = re; re=pd->re;
iv2 = iv; iv=pd->iv;
if ((re2 < 0 && re >= 0)) {
tcross = (iv2 + (iv-iv2)*(0.0-re2)/(re-re2));
if (debug) printf("%g %g %g %g %g\n", iv2, re2, iv, re, tcross);
cross++;