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|
include <imhdr.h>
include <pmset.h>
include <mach.h>
include "ace.h"
include "cat.h"
include "objs.h"
include "skyblock.h"
include "detect.h"
include "split.h"
# DETECT - Object detection.
#
# Get input image data (possibly convolved) and compare to sky using sky
# sigma and threshold factors. Catagorize as bad pixel, sky, above sky, and
# below sky. Write catagories to output mask.
procedure detect (det, spt, dosky, dosig, skyname, signame, im, bpm,
skymap, sigmap, expmap, scale, offset, out, siglevmap, siglevels,
logfd, cat)
pointer det #I Detection parameter structure
pointer spt #I Split parameter structure
bool dosky #I Do sky update?
bool dosig #I Do sigma update?
char skyname[ARB] #I Sky name for updating sky
char signame[ARB] #I Sigma name for updating sigma
pointer im[2] #I Input image pointers
pointer bpm[2] #I Bad pixel mask pointer
pointer skymap[2] #U Sky map
pointer sigmap[2] #U Sigma map
pointer expmap[2] #I Exposure map
real scale[2] #I Image scales
int offset[2] #I Offsets of second image
pointer out #I Output pixel mask (PMIO) pointer
pointer siglevmap #I Mask for sigma levels
pointer siglevels #O Sigma levels for mask
int logfd #I Verbose?
pointer cat #O Catalog of objects
pointer cnv # Convolution string pointer
real hsig # Detection threshold
real splitstep # Minimum split step in convolved sigma
real splitthresh # Transition convolved sigma
bool hdetect # Detection above sky
bool ldetect # Detection below sky
bool dosky1, dosig1, overlap
int i, c, l, nc, nl, nc2, siglevmax
int nobjs, nalloc, navail
long v[2]
real z, cnvwt
pointer sp, str, iptr, rptr, outdata, lastdata, orl, srl
pointer skb, objs, ids, links
pointer indata[2], bp, skydata[2], sigdata[2], expdata[2], cnvdata
errchk convolve, drenum
errchk detect, salloc, malloc, calloc, realloc
begin
# Initialize parameters.
call det_pars ("open", "", det)
# The sky update requires the doxxx parameter to be true, a filename
# to be specified and the skb pointer to be non-null. The skb
# pointer is set depending on the "updatesky" task parameter.
dosky1 = (dosky && skyname[1] != EOS)
dosig1 = (dosig && signame[1] != EOS)
if (dosky1 || dosig1)
skb = DET_SKB(det)
else
skb = NULL
cnv = DET_CNV(det)
hsig = DET_HSIG(det)
if (spt != NULL) {
splitstep = SPT_SPLITSTEP(spt)
splitthresh = SPT_SPLITTHRESH(spt)
}
hdetect = (DET_HDETECT(det) == YES)
ldetect = (DET_LDETECT(det) == YES)
# Set sizes.
nc = IM_LEN(im[1],1)
nl = IM_LEN(im[1],2)
if (ldetect)
nc2 = 2 * (nc + 2)
else
nc2 = nc + 2
# Allocate memory.
call smark (sp)
call salloc (str, SZ_LINE, TY_CHAR)
call salloc (outdata, nc2, TY_INT)
call salloc (lastdata, nc2, TY_INT)
call salloc (orl, 3+3*nc, TY_INT)
call salloc (iptr, 1, TY_REAL)
call salloc (rptr, 1, TY_REAL)
Memr[iptr] = INDEFI
Memr[rptr] = INDEFR
if (siglevmap != NULL)
call salloc (srl, 3+3*nc, TY_INT)
else
srl = iptr
if (expmap[1] == NULL)
expdata[1] = rptr
if (expmap[2] == NULL)
expdata[2] = rptr
if (im[2] == NULL) {
indata[2] = rptr
skydata[2] = rptr
sigdata[2] = rptr
expdata[2] = rptr
if (bpm[1] == NULL) {
call salloc (bp, nc, TY_INT)
call aclri (Memi[bp], nc)
}
if (Memc[cnv] != EOS)
call salloc (cnvdata, nc, TY_REAL)
} else {
overlap = true
if (1-offset[1] < 1 || nc-offset[1] > IM_LEN(im[2],1))
overlap = false
if (1-offset[2] < 1 || nl-offset[2] > IM_LEN(im[2],2))
overlap = false
if (!overlap) {
call salloc (indata[2], nc, TY_REAL)
call salloc (skydata[2], nc, TY_REAL)
call salloc (sigdata[2], nc, TY_REAL)
call salloc (expdata[2], nc, TY_REAL)
}
call salloc (bp, nc, TY_INT)
call aclri (Memi[bp], nc)
call salloc (cnvdata, nc, TY_REAL)
}
navail = (nc * nl) / 100
call calloc (ids, navail, TY_INT)
call calloc (links, navail, TY_INT)
call calloc (objs, navail, TY_POINTER)
nalloc = 0
# Setup sky updating.
if (skb!=NULL && !overlap) {
l = 1
call skb_iminit (skb, im[1], expmap, l, NULL)
}
if (logfd != NULL)
call fprintf (logfd, " Detect objects:\n")
# Go through image.
nobjs = NUMSTART - 1
call aclri (Memi[outdata], nc2)
if (siglevmap == NULL)
siglevmax = INDEFI
else
siglevmax = 0
v[1] = 1
do l = 1, nl {
# Get data.
call convolve (im, bpm, skymap, sigmap, expmap, offset,
scale, l, Memc[cnv], indata, bp, cnvdata, skydata,
sigdata, expdata, cnvwt, logfd)
call amovi (Memi[outdata], Memi[lastdata], nc2)
call detect1 (det, spt, skb, Memr[indata[1]], Memr[skydata[1]],
Memr[sigdata[1]], Memr[expdata[1]], Memr[indata[2]],
Memr[skydata[2]], Memr[sigdata[2]], Memr[expdata[2]],
scale, Memi[bp], Memr[cnvdata], cnvwt, Memi[outdata],
Memi[lastdata], nc, nl, l, objs, ids, links, nobjs,
nalloc, navail, Memi[orl], Memi[srl], siglevmax)
# Write to output masks.
v[2] = l
call pmplri (out, v, Memi[orl], 0, nc, PIX_SRC)
if (siglevmap != NULL)
call pmplri (siglevmap, v, Memi[srl], 0, nc, PIX_SRC)
}
# Free convolution memory.
call convolve (im, bpm, skymap, sigmap, expmap, offset,
scale, 0, Memc[cnv], indata, bp, cnvdata, skydata,
sigdata, expdata, cnvwt, logfd)
# Free extra object structures.
do c = nobjs, nalloc-1
call mfree (Memi[objs+c], TY_STRUCT)
# Renumber and reject objects with less than a minimum area.
call drenum (det, out, Memi[ids], Memi[objs], nobjs)
call mfree (ids, TY_INT)
call mfree (links, TY_INT)
call realloc (objs, nobjs, TY_POINTER)
CAT_NOBJS(cat) = nobjs
CAT_NUMMAX(cat) = nobjs
CAT_OBJS(cat) = objs
# Set sigma levels if needed.
if (spt != NULL) {
call calloc (siglevels, siglevmax+1, TY_REAL)
do i = 1, siglevmax {
z = i * splitstep
if (z > splitthresh) {
z = z / splitthresh
z = (z + 3) / 4
z = z * z * z * z
z = z * splitthresh
}
if (z > hsig)
Memr[siglevels+i-1] = z
}
Memr[siglevels+siglevmax] = MAX_REAL
} else
siglevels = NULL
if (logfd != NULL) {
call fprintf (logfd, " %d objects detected\n")
call pargi (nobjs - NUMSTART + 1)
}
if (skb != NULL) {
call skb_update (skb, dosky1, dosig1, im[1], skyname, signame,
skymap, sigmap, logfd)
call skb_imfree (skb)
}
call sfree (sp)
end
procedure detect1 (det, spt, skb, in, sky, sig, exp, in2, sky2, sig2, exp2,
scale, bp, cnv, cnvwt, out, lastout, nc, nl, line, objs, ids,
links, nobjs, nalloc, navail, orl, srl, siglevmax)
pointer det #I Parameters
pointer spt #I Parameters
pointer skb #I Sky block pointer
real in[nc] #I Image data
real sky[nc] #I Sky data
real sig[nc] #I Sky sigma data
real exp[nc] #I Exposure map data
real in2[nc] #I Image data
real sky2[nc] #I Sky data
real sig2[nc] #I Sky sigma data
real exp2[nc] #I Exposure map data
real scale[2] #I Image scales
int bp[nc] #I Bad pixel values
real cnv[nc] #I Convolved image data
real cnvwt #I Sigma weight
int out[ARB] #I Output data (extra pixel on each end)
int lastout[ARB] #I Last output data (extra pixel on each end)
int nc #I Number of columns
int nl #I Number of lines
int line #I Current line
pointer objs #I Pointer to array of object pointers
pointer ids #I Pointer to array of IDs
pointer links #I Pointer to array links to other IDs
int nobjs #I Number of objects pointers
int nalloc #I Number of object pointers allocated
int navail #I Size of allocated arrays
int orl[3,ARB] #O Output object mask range list
int srl[3,ARB] #O Output sigma level range list
int siglevmax #O Maximum sigma level (INDEF if not used)
real hsig # High detection sigma
real lsig # Low detection sigma
int bpval # Output bad pixel value
real splitstep # Minimum split step in convolved sigma
real splitthresh # Transition convolved sigma
bool hdetect # Detection above sky
bool ldetect # Detection below sky
int neighbors # Neighbor type
int i, j, c, c1, c2, clast, nc2, nc3, num, numlast, bin, binlast
int n, ncmax, nlmax, nbins, csky
real z, s, t, z1, s1, t1, z2, s2, t2, zcnv, rcnv, tcnv, low, high, binscale
real explast
bool dodiff, dosrl
real a, b
pointer bins, skys, sigs, exps, nsky
errchk dadd, realloc
begin
# Parameters
hsig = DET_HSIG(det)
lsig = DET_LSIG(det)
bpval = DET_BPVAL(det)
hdetect = (DET_HDETECT(det) == YES)
ldetect = (DET_LDETECT(det) == YES)
neighbors = DET_NEIGHBORS(det)
# Do sky updating?
nlmax = 0
if (skb != NULL) {
ncmax = min (nc, SKB_NCSBLK(skb) * SKB_NCSPIX(skb))
nlmax = min (nl, SKB_NLSBLK(skb) * SKB_NLSPIX(skb))
a = SKB_A(skb)
b = SKB_B(skb)
n = SKB_NCSPIX(skb)
nbins = SKB_NBINS(skb)
bins = SKB_BINS(skb)
skys = SKB_SKY(skb)
sigs = SKB_SIG(skb)
exps = SKB_EXP(skb)
nsky = SKB_NSKY(skb)
}
# Do difference detection?
if (IS_INDEFR(in2[1])) {
dodiff = false
z1 = 0; s1 = 0; t1 = 1
z2 = 0; s2 = 0; t2 = 1
} else
dodiff = true
# Initialize output mask range lists.
i = 1
orl[1,i] = 0
if (spt != NULL) {
splitstep = SPT_SPLITSTEP(spt)
splitthresh = SPT_SPLITTHRESH(spt)
binscale = splitthresh / splitstep
j = 1
srl[1,j] = 0
dosrl = true
} else
dosrl = false
clast = 0
nc2 = nc + 2
if (ldetect)
nc3 = nc2 + 1
else
nc3 = 1
explast = INDEFR
# Find pixels which are masked, sky, above sky, and below sky.
do c = 1, nc {
c1 = c + 1
c2 = c + nc3
out[c1] = 0
out[c2] = 0
# Mark masked pixels if any.
if (bp[c] != 0) {
if (IS_INDEFI(bpval))
num = min (bp[c], NUMSTART-1)
else
num = min (bpval, NUMSTART-1)
if (num > 0) {
out[c1] = num
out[c2] = num
if (num != numlast || c != clast) {
orl[2,i] = clast - orl[1,i]
i = i + 1
numlast = num
orl[1,i] = c
orl[3,i] = numlast
}
clast = c1
}
next
}
# Find sky and object pixels.
if (dodiff) {
z1 = in[c]
s1 = sky[c]
t1 = sig[c]
z2 = in2[c]
s2 = sky2[c]
t2 = sig2[c]
z = scale[1] * z1 - scale[2] * z2
s = scale[1] * s1 - scale[2] * s2
t = sqrt ((scale[1]*t1)**2 + (scale[2]*t2)**2)
} else {
z = in[c]
s = sky[c]
t = sig[c]
}
zcnv = cnv[c]
rcnv = zcnv - s
tcnv = t / cnvwt
low = -lsig * tcnv
high = hsig * tcnv
if (rcnv > high) {
if (hdetect) {
call dadd (c1, line, out, lastout, nc2,
Memi[ids], Memi[links], Memi[objs], nobjs, nalloc,
z, s, t, z2, s2, t2, neighbors, 0, num)
if (nalloc == navail) {
navail = max (100*nalloc*(nl+1)/line/100, nalloc+10000)
call realloc (ids, navail, TY_INT)
call realloc (links, navail, TY_INT)
call realloc (objs, navail, TY_POINTER)
}
# Add to output masks.
if (num != numlast || c != clast) {
orl[2,i] = clast - orl[1,i]
i = i + 1
numlast = num
orl[1,i] = c
orl[3,i] = numlast
}
if (dosrl) {
rcnv = rcnv / tcnv / splitthresh
if (rcnv > 1.)
rcnv = (4 * rcnv**0.25 - 3)
bin = nint (rcnv * binscale)
if (bin != binlast || c != clast) {
srl[2,j] = clast - srl[1,j]
j = j + 1
binlast = bin
srl[1,j] = c
srl[3,j] = binlast
siglevmax = max (bin, siglevmax)
}
}
clast = c1
}
} else if (rcnv < low) {
if (ldetect) {
call dadd (c1, line, out[nc3], lastout[nc3], nc2,
Memi[ids], Memi[links], Memi[objs], nobjs, nalloc,
2*s-z, s, t, z1, s1, t1, neighbors, OBJ_DARK, num)
if (nalloc == navail) {
navail = max (100*nalloc*(nl+1)/line/100, nalloc+10000)
call realloc (ids, navail, TY_INT)
call realloc (links, navail, TY_INT)
call realloc (objs, navail, TY_POINTER)
}
# Add to output masks.
if (num != numlast || c != clast) {
orl[2,i] = clast - orl[1,i]
i = i + 1
numlast = num
orl[1,i] = c
orl[3,i] = numlast
}
clast = c1
}
}
if (line <= nlmax && c <= ncmax) {
bin = a * (z - s) / t + b
if (bin >= 1 && bin <= nbins) {
csky = (c-1) / n
bin = bins + csky * nbins + bin - 1
Memi[bin] = Memi[bin] + 1
Memr[skys+csky] = Memr[skys+csky] + s
Memr[sigs+csky] = Memr[sigs+csky] + t
Memi[nsky+csky] = Memi[nsky+csky] + 1
if (!IS_INDEFR(Memr[exps]))
Memr[exps+csky] = Memr[exps+csky] + exp[c]
}
}
}
# Finish up range lists.
orl[2,i] = clast - orl[1,i]
orl[1,1] = i
orl[2,1] = nc
if (dosrl) {
srl[2,j] = clast - srl[1,j]
srl[1,1] = j
srl[2,1] = nc
}
# Evaluate histogram sky values if all lines have been accumulated.
if (line <= nlmax) {
if (mod (line, SKB_NLSPIX(skb)) == 0) {
n = SKB_NCSBLK(skb)
call skb_blkeval (Memi[bins], nbins, a, b, Memr[skys],
Memr[sigs], Memr[exps], Memi[nsky], n,
SKB_NSKYMIN(skb), SKB_NAV(skb), SKB_HISTWT(skb),
SKB_SIGFAC(skb))
# Initialize for accumulation of next line of blocks.
SKB_SKY(skb) = skys + n
SKB_SIG(skb) = sigs + n
if (!IS_INDEFR(Memr[exps]))
call aclrr (Memr[exps], n)
call aclri (Memi[nsky], n)
call aclri (Memi[bins], n*nbins)
}
}
end
# OBJADD -- Add a pixel to the object list and set the mask value.
procedure dadd (c, l, z, zlast, nc, ids, links, objs, nobjs, nalloc,
data, sky, sigma, data2, sky2, sigma2, neighbors, flags, num)
int c, l #I Pixel coordinate
int z[nc] #I Pixel values for current line
int zlast[nc] #I Pixel values for last line
int nc #I Number of pixels in a line
int ids[ARB] #I Mask ids
int links[ARB] #I Link to other mask ids with same number
pointer objs[ARB] #I Objects
int nobjs #U Number of objects
int nalloc #U Number of allocated objects
real data #I Data value (not sky subtracted)
real sky #I Sky value
real sigma #I Sky sigma value
real data2 #I Data value (not sky subtracted)
real sky2 #I Sky value
real sigma2 #I Sky sigma value
int neighbors #I Neighbor type
int flags #I Flags
int num #O Object number assigned
int i, num1, c1, c2
real val
bool merge
pointer obj, obj1
begin
# Inherit number of a neighboring pixel.
num = INDEFI
merge = false
if (neighbors == 4) {
c1 = c - 1
c2 = c
if (z[c1] >= NUMSTART) {
num = z[c1]
merge = true
} else if (zlast[c] >= NUMSTART)
num = ids[zlast[c]]
} else {
c1 = c - 1
c2 = c + 1
if (z[c1] >= NUMSTART) {
num = z[c1]
merge = true
} else if (zlast[c1] >= NUMSTART)
num = ids[zlast[c1]]
else if (zlast[c] >= NUMSTART)
num = ids[zlast[c]]
else if (zlast[c2] >= NUMSTART)
num = ids[zlast[c2]]
}
# If no number assign a new number.
if (num == INDEFI) {
nobjs = nobjs + 1
num = nobjs
ids[num] = num
links[num] = 0
if (nalloc < nobjs) {
call calloc (objs[num], OBJ_DETLEN, TY_STRUCT)
nalloc = nobjs
}
obj = objs[num]
OBJ_XAP(obj) = 0.
OBJ_YAP(obj) = 0.
OBJ_FLUX(obj) = 0.
OBJ_NPIX(obj) = 0
OBJ_ISIGMAX(obj) = 0.
OBJ_ISIGAVG(obj) = 0.
OBJ_ISIGAVG2(obj) = 0.
OBJ_FLAGS(obj) = flags
}
obj = objs[num]
# Merge overlapping objects from previous line.
if (merge) {
i = zlast[c2]
if (i >= NUMSTART && num != ids[i]) {
num1 = ids[i]
obj1 = objs[num1]
OBJ_XAP(obj) = OBJ_XAP(obj) + OBJ_XAP(obj1)
OBJ_YAP(obj) = OBJ_YAP(obj) + OBJ_YAP(obj1)
OBJ_FLUX(obj) = OBJ_FLUX(obj) + OBJ_FLUX(obj1)
OBJ_NPIX(obj) = OBJ_NPIX(obj) + OBJ_NPIX(obj1)
OBJ_ISIGMAX(obj) = max (OBJ_ISIGMAX(obj), OBJ_ISIGMAX(obj1))
OBJ_ISIGAVG(obj) = OBJ_ISIGAVG(obj) + OBJ_ISIGAVG(obj1)
OBJ_ISIGAVG2(obj) = OBJ_ISIGAVG2(obj) + OBJ_ISIGAVG2(obj1)
i = num
while (links[i] != 0)
i = links[i]
links[i] = num1
repeat {
i = links[i]
ids[i] = num
} until (links[i] == 0)
nalloc = nalloc + 1
objs[nalloc] = obj1
objs[num1] = NULL
}
}
z[c] = num
OBJ_NPIX(obj) = OBJ_NPIX(obj) + 1
val = (data - sky) / sigma
OBJ_XAP(obj) = OBJ_XAP(obj) + val * c1
OBJ_YAP(obj) = OBJ_YAP(obj) + val * l
OBJ_FLUX(obj) = OBJ_FLUX(obj) + val
OBJ_ISIGMAX(obj) = max (OBJ_ISIGMAX(obj), val)
OBJ_ISIGAVG(obj) = OBJ_ISIGAVG(obj) + val
#OBJ_ISIGAVG2(obj) = OBJ_ISIGAVG2(obj) + (data2 - sky2) / sigma2
OBJ_ISIGAVG2(obj) = OBJ_ISIGAVG2(obj) + (data2 - sky2) / sigma
end
procedure drenum (det, out, ids, objs, nobjs)
pointer det #I Parameters
pointer out #I Output PMIO pointer
int ids[nobjs] #I Mask IDs
pointer objs[nobjs] #U Input and output object list
int nobjs #U Number of objects
int minpix # Minimum number of pixels
real sigavg # Cutoff of SIGAVG
real sigmax # Cutoff of SIGMAX
real frac # Fraction of sigavg2
int i, j, n, nc, nl
real rval
pointer sp, v, rl, buf, obj
begin
# Parameters.
minpix = DET_MINPIX(det)
sigavg = DET_SIGAVG(det)
sigmax = DET_SIGPEAK(det)
frac = DET_FRAC2(det)
# Assign object numbers. Eliminate objects, by setting object number
# to zero, based on selection # critera (size, peak, etc.).
j = NUMSTART - 1
do i = NUMSTART, nobjs {
obj = objs[i]
if (obj == NULL)
next
n = OBJ_NPIX(obj)
if (n < minpix) {
OBJ_NUM(obj) = 0
next
}
rval = sqrt (real(n))
OBJ_ISIGAVG(obj) = OBJ_ISIGAVG(obj) / rval
if ((OBJ_ISIGMAX(obj) < sigmax && OBJ_ISIGAVG(obj) < sigavg)) {
OBJ_NUM(obj) = 0
next
}
OBJ_ISIGAVG2(obj) = OBJ_ISIGAVG2(obj) / rval
if (OBJ_ISIGAVG(obj) < frac * OBJ_ISIGAVG2(obj)) {
OBJ_NUM(obj) = 0
next
}
rval = OBJ_FLUX(obj)
if (rval > 0.) {
OBJ_XAP(obj) = OBJ_XAP(obj) / rval
OBJ_YAP(obj) = OBJ_YAP(obj) / rval
} else {
OBJ_XAP(obj) = INDEFR
OBJ_YAP(obj) = INDEFR
}
j = j + 1
OBJ_NUM(obj) = j
}
# Set object mask.
call smark (sp)
call salloc (v, PM_MAXDIM, TY_LONG)
call pm_gsize (out, i, Meml[v], j)
nc = Meml[v]; nl = Meml[v+1]
call salloc (rl, 3+3*nc, TY_INT)
call salloc (buf, nc, TY_INT)
call drenum1 (out, nc, nl, ids, objs, Meml[v], Memi[rl], Memi[buf])
call sfree (sp)
# Reorder the arrays and expand object structures.
j = NUMSTART - 1
do i = NUMSTART, nobjs {
obj = objs[i]
if (obj == NULL)
next
if (OBJ_NUM(obj) == 0) {
call mfree (objs[i], TY_STRUCT)
next
}
call newobj (obj)
j = j + 1
objs[j] = obj
}
nobjs = j
end
procedure drenum1 (om, nc, nl, ids, objs, v, rl, buf)
pointer om #I Object mask pointer
int nc, nl #I Dimensions
int ids[ARB] #I Mask IDs
pointer objs[ARB] #I Objects
long v[PM_MAXDIM] #I Work array
int rl[3,nc] #I Work array
int buf[nc] #I Work array
int i, j, l, id, andi(), ori()
pointer obj
begin
v[1] = 1
do l = 1, nl {
v[2] = l
call pmglri (om, v, rl, 0, nc, 0)
j = 1
do i = 2, rl[1,1] {
id = rl[3,i]
if (id >= NUMSTART) {
obj = objs[ids[id]]
id = OBJ_NUM(obj)
if (DARK(obj) && id > 0)
id = MSETFLAG(id, MASK_DARK)
}
if (id > 0) {
j = j + 1
rl[1,j] = rl[1,i]
rl[2,j] = rl[2,i]
rl[3,j] = id
}
}
rl[1,1] = j
call pmplri (om, v, rl, 0, nc, PIX_SRC)
}
end
procedure newobj (obj)
pointer obj #U Object structure
begin
if (obj == NULL)
return
call realloc (obj, OBJ_LEN, TY_STRUCT)
OBJ_FLUX(obj) = INDEFR
OBJ_SKY(obj) = INDEFR
OBJ_SIG(obj) = INDEFR
OBJ_PEAK(obj) = INDEFR
OBJ_X1(obj) = INDEFR
OBJ_Y1(obj) = INDEFR
OBJ_WX(obj) = INDEFD
OBJ_WY(obj) = INDEFD
OBJ_XMIN(obj) = INDEFI
OBJ_XMAX(obj) = INDEFI
OBJ_YMIN(obj) = INDEFI
OBJ_YMAX(obj) = INDEFI
end
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