fritzz@net1.UCSD.EDU (Friedrich Knauss) (08/07/86)
Well, I've properly learned C in the past 2 weeks, I've learned physics,
and I've learned art. Version 1.0 was a feeble attempt at programming.
Version 2.0 is *awsome*.
Changes: version 2.0 now does proper refraction all the way across
the board. very amazing.
You can sink the balls into the floor nicely.
You can display stuff on the floor.
There is no need to recompile to change the ball data.
You can change the input and output files via command line
arguments.
You can pipe through it.
It looks good.
This is still a simple package as far as the number of shapes it can
handle (one), but it provides a very decent base to build on for any
math gods or godesses out there. all the algorithms currently in use
are the proper ones. there will be no updates for them. (fortunately for
my mailbox.) The code runs faster now, but the refarction algorithms
have also lengthened the running time, so on the average it's about the
same, if not a little bit slower.
Please use this in any way you like...
(but give me credit =).
f
--------------------------------------------------------------------
# This is a shell archive. Remove anything before this line,
# then unpack it by saving it in a file and typing "sh file".
#
# Wrapped by wizard!fritzz on Tue Aug 5 14:30:35 PDT 1986
# Contents: Makefile README.DOC README.HAK bdata.i extern.h find.c g_bal.c
# g_bod.c macros.h pat.def refract.c rtd.h shade.c ship.pat support.c
# susie.pat tracer.c
echo x - Makefile
sed 's/^@//' > "Makefile" <<'@//E*O*F Makefile//'
tracer: tracer.o shade.o find.o support.o refract.o g_bod.o g_bal.o
cc tracer.o shade.o find.o support.o refract.o g_bod.o g_bal.o -lm -o tracer
find.o: find.c rtd.h extern.h macros.h
cc -c find.c
shade.o: shade.c rtd.h extern.h macros.h
cc -c shade.c
support.o: support.c rtd.h extern.h
cc -c support.c
tracer.o: tracer.c rtd.h bdata.i macros.h
cc -c tracer.c
refract.o: refract.c rtd.h extern.h macros.h
cc -c refract.c
g_bod.o: g_bod.c extern.h macros.h
cc -c g_bod.c
g_bal.o: g_bal.c extern.h rtd.h
cc -c g_bal.c
@//E*O*F Makefile//
chmod u=rw,g=r,o=r Makefile
echo x - README.DOC
sed 's/^@//' > "README.DOC" <<'@//E*O*F README.DOC//'
TRACER(69) FRITZZ GRAPHICS TRACER(69)
NAME
tracer- run a simple ray tracing procedure
SYNOPSIS
tracer -o [filename] -i [filename] -s <filename> -S<number>
DESCRIPTION
Tracer is a program developed originally to study how
ray tracing works, and was later modified to the present state
to make it more compatible for animated film production.
It is capable of depicting a number of balls (up to 150)
and a plane that is covered with a tiling of any bitmapped picture.
OPTIONS
-o Chooses the output data file. If no argument is givin, stdout
is used. If the option is not used the default is data.dis.
-i Chooses the input (ball) data file. If no argument is given, stdin
is used. If the option is not used the default is bdata.i.
-s Chooses the file containing the tiling bitmap. It requires an
an argument. If the option is not used the default is pat.def.
-S Chooses contrast of the pattern. 0.0 is no contrast, 1.0 is maximum
contrast. 1.0 is the default. (useful for fading during animation)
PROGRAM NOTES
This program generates a file containing a header with x and y sizes,
followed by the data in 8-bit greyscale, one pixel to a character, in
scanlines.
There are two neccessary input files: ball data, and a pattern bitmap.
The tiling bitmap can be digitized data, it must be in the form of
scan lines no longer than 512 bytes followed by newlines.
the ball data is of the following form:
x y z rad ior refract reflect diffuse ambient
on each line where x y & z are the coordinates of the center of
the ball, rad is the radius of the ball, ior is the index of refraction
for translucent materials (index of refraction for glass is about 1.5)
the last four numbers determine how much of each atrribute is used.
Thus a pure silver ball would have 0.0 1.0 0.0 0.0 as the last numbers,
and a pure glass ball would have 1.0 0.0 0.0 0.0 .
FILES
./bdata.i default ball data
./pat.def default floor pattern
./data.dis default output file
BUGS
As with any good software, the complexity of this program hides
all bugs.
@//E*O*F README.DOC//
chmod u=rw,g=r,o=r README.DOC
echo x - README.HAK
sed 's/^@//' > "README.HAK" <<'@//E*O*F README.HAK//'
***** A Hackers Guide to Tracer *****
tracer consists of a bunch of files containing a program that does
ray tracing (No shit sherlock).
Thes files are as follows:
tracer.c: main() sets up the initial rays and stores values
in a file. booboo prints an error message and quits.
shade.c: shade() calculates the intensity returned by a ray. It is
recursive, and also makes a call to refract().
refract.c: The most difficult part of the program. This file contains
refract(), inside(), refk() and getcapt().
and these do all the refraction calculations.
find.c: contains find(),findo() (for when a ray is inside a ball)
and shadow() and finds() for shadows.
support.c: supportive subroutines. right now only contains mt_vec
as all the others were either discarded or converted to
macros.
g_bal.c g_bal() gets the ball data and points bl[] at them.
g_bod.c g_bod() loads the floor pattern into suzie.
macros.h contains all the macro definitions. Definitely to be looked at.
rtd.h header file containing all the structure definitions.
extern.h keeps track of all global variables used through the program.
bdata.i sample ball data file.
pat.def \
susie.pat >- sample pattern files. (susie is not for the purient).
ship.pat /
@//E*O*F README.HAK//
chmod u=rw,g=r,o=r README.HAK
echo x - bdata.i
sed 's/^@//' > "bdata.i" <<'@//E*O*F bdata.i//'
-30.0 10.0 400.0 50.0 0.0 0.0 0.0 0.9 0.1
210.0 175.0 400.0 50.0 0.0 0.0 0.3 0.6 0.1
40.0 110.0 450.0 50.0 0.0 0.0 0.6 0.3 0.1
140.0 65.0 450.0 50.0 0.0 0.0 0.9 0.0 0.1
220.0 70.0 100.0 60.0 1.4 0.9 0.0 0.0 0.1
@//E*O*F bdata.i//
chmod u=rw,g=r,o=r bdata.i
echo x - extern.h
sed 's/^@//' > "extern.h" <<'@//E*O*F extern.h//'
extern double suzie[300][300],sam;
extern struct ball *bl[];
extern struct sphere ls;
extern int level,nob;
extern int xsue,ysue;
@//E*O*F extern.h//
chmod u=rw,g=r,o=r extern.h
echo x - find.c
sed 's/^@//' > "find.c" <<'@//E*O*F find.c//'
#include <math.h>
#include "rtd.h"
#include "extern.h"
#include "macros.h"
double findo (m, s) /* finds where a ray inside the ball exits. */
struct mat *m;
struct sphere *s;
{
/* foops id the rotated position vector. */
struct vector foops;
double t;
MTV (foops, (*m), s -> cent);
/* see if it hits the ball (it better)*/
t = s -> rad * s -> rad - foops.y * foops.y - foops.z * foops.z;
if (t > 0)
t = foops.x + sqrt (t);
else
t = 0;
/* return how far along the ray you were when you hit */
return (t);
}
double find (m, s)/* finds whether a ray hits a ball*/
struct mat *m;
struct sphere *s;
{
struct vector foops;
double t;
MTV (foops, (*m), s -> cent);
t = s -> rad * s -> rad - foops.y * foops.y - foops.z * foops.z;
if (t > 0)
t = foops.x - sqrt (t);
else
t = 0;
return (t);
}
double finds (m, s)/* finds if a ball is between a point and a
lightsource. Returns how obscuring the ball is */
struct mat *m;
struct sphere *s;
{
struct vector foops;
double t;
MTV (foops, (*m), s -> cent);
t = s -> rad - sqrt (foops.y * foops.y + foops.z * foops.z);
if (t > 0)
t = t / foops.x;
else
t = 0;
return (t);
}
double shadow (p)/* finds if a point is in a shadow, or if it is on edge */
struct vector *p;
{
struct mat trans;
struct sphere ss;
struct vector d;
int c,
i;
double l,
k,
x,
y,
z,
finds ();
l = 0.0;
c = -1;
SV (d, ls.cent, (*p));
d.l = LEN (d);
d.xzl = XZL (d);
mt (&(d), &trans);
for (i = 0; i < nob; i++) {
ss.rad = bl[i] -> s.rad;
SV (ss.cent, bl[i] -> s.cent, (*p));
if ((k = finds (&trans, &ss)) > l) {
c = i;
l = k;
}
}
if (c == -1)
k = 200.0;
else {
k = 1.0 - l / ((ls.rad) / (d.l));
if (k < 0.0)
k = 0.0;
k *= 200.0;
}
return (k);
}
@//E*O*F find.c//
chmod u=rw,g=r,o=r find.c
echo x - g_bal.c
sed 's/^@//' > "g_bal.c" <<'@//E*O*F g_bal.c//'
#include <stdio.h>
#include "rtd.h"
#include "extern.h"
g_bal (df)/* gets data for the balls, returns number of balls */
FILE * df;
{
int i;
double x,
y,
z,
r,
ior,
rfr,
rfl,
dif,
amb;
for (i = 0;
fscanf (df, "%F %F %F %F %F %F %F %F %F",
&x, &y, &z, &r, &ior, &rfr, &rfl, &dif, &amb) != EOF;
i++) {
/* get some space for the ball */
bl[i] = (struct ball *) malloc (sizeof (struct ball));
bl[i] -> s.cent.x = x;
bl[i] -> s.cent.y = y;
bl[i] -> s.cent.z = z;
bl[i] -> s.rad = r;
bl[i] -> ior = ior;
bl[i] -> rfr = rfr;
bl[i] -> rfl = rfl;
bl[i] -> dif = dif;
bl[i] -> amb = amb;
}
return (i);
}
@//E*O*F g_bal.c//
chmod u=rw,g=r,o=r g_bal.c
echo x - g_bod.c
sed 's/^@//' > "g_bod.c" <<'@//E*O*F g_bod.c//'
#include <stdio.h>
#include <math.h>
#include "extern.h"
#include "macros.h"
g_bod (f)/* credit for this goes to rich stewart, who wanted to
do susie in the first place */
FILE * f;
{
int k,
x;
double big = 0.0,
little = HUGE;
char buf[512];
for (ysue = 0;; ysue++) {
if (fgets (buf, 512, f) == NULL)
break;
xsue = strlen (buf) - 1;/*get rid of EOL tha leaves nasty black dots*/
for (x = 0; x < xsue; x++) {
k = buf[x];
suzie[x][ysue] = (double) k;
if (big < k)
big = k;
if (little > k)
little = k;
}
}
big = big - little;/* expand dynamic range to maximum:0.0-1.0*/
for (k = 0; k < ysue; k++)
for (x = 0; x < xsue; x++)
suzie[x][k] = (suzie[x][k] - little) / big;
}
@//E*O*F g_bod.c//
chmod u=rw,g=r,o=r g_bod.c
echo x - macros.h
sed 's/^@//' > "macros.h" <<'@//E*O*F macros.h//'
/* some of the most important stuff in the program */
#define DOT(v1,v2) (v1.x*v2.x+v1.y*v2.y+v1.z*v2.z)
/* returns dot product of two vectors */
#define LN2(v) (DOT(v,v))
/* returns the square of the length of a vector */
#define LEN(v) sqrt(LN2(v))
/* guess */
#define XZL(v) sqrt(v.x*v.x+v.z*v.z)
/* returns the component in the xz plane of a vector */
#define SCMLT(sc,vct) vct.x*= sc;vct.y*= sc;vct.z*= sc;vct.l*= sc;
/* multiplies a vetor by a scalar */
#define MV(a,b,c,v) v.x= a;v.y= b;v.z= c;
/* makes a vector. wouldn't need this with c++ */
#define SV(t,u,v) t.x=u.x-v.x;t.y=u.y-v.y;t.z=u.z-v.z;
/*subtract vector t=u-v */
#define AV(t,u,v) t.x=u.x+v.x;t.y=u.y+v.y;t.z=u.z+v.z;
/* add vector t=u+v */
#define MTV(v1,m,v2) MV(DOT(m.x,v2),DOT(m.y,v2),DOT(m.z,v2),v1)
/* multiply transpose matrix by vector. v1=m*v2 */
#define LEVEL 5/* levels of recursion */
#define RLEV 3/*don't want as many inside the ball, takes forever as it is*/
#define XMIN 10.0
#define XMAX 220.0
#define YMIN 10.0
#define YMAX 170.0
/* window size, virtual units */
#define SCALE 2.0
/* maginification factor */
@//E*O*F macros.h//
chmod u=rw,g=r,o=r macros.h
echo x - pat.def
sed 's/^@//' > "pat.def" <<'@//E*O*F pat.def//'
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`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPOOONNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNOOOPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPOOONNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNOOOPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPOOONNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNOOOPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPOOONNNMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMNNNOOOPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPOOONNNMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMNNNOOOPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPOOONNNMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMNNNOOOPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPOOONNNMMMLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLMMMNNNOOOPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPOOONNNMMMLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLMMMNNNOOOPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPOOONNNMMMLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLMMMNNNOOOPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPOOONNNMMMLLLKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKLLLMMMNNNOOOPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPOOONNNMMMLLLKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKLLLMMMNNNOOOPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPOOONNNMMMLLLKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKLLLMMMNNNOOOPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPOOONNNMMMLLLKKKJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJKKKLLLMMMNNNOOOPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPOOONNNMMMLLLKKKJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJKKKLLLMMMNNNOOOPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPOOONNNMMMLLLKKKJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJKKKLLLMMMNNNOOOPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPOOONNNMMMLLLKKKJJJIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIJJJKKKLLLMMMNNNOOOPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPOOONNNMMMLLLKKKJJJIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIJJJKKKLLLMMMNNNOOOPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPOOONNNMMMLLLKKKJJJIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIJJJKKKLLLMMMNNNOOOPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPOOONNNMMMLLLKKKJJJIIIHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHIIIJJJKKKLLLMMMNNNOOOPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPOOONNNMMMLLLKKKJJJIIIHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHIIIJJJKKKLLLMMMNNNOOOPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPOOONNNMMMLLLKKKJJJIIIHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHIIIJJJKKKLLLMMMNNNOOOPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPOOONNNMMMLLLKKKJJJIIIHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHIIIJJJKKKLLLMMMNNNOOOPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPOOONNNMMMLLLKKKJJJIIIHHHHGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGHHHHIIIJJJKKKLLLMMMNNNOOOPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPOOONNNMMMLLLKKKJJJIIIHHHHGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGHHHHIIIJJJKKKLLLMMMNNNOOOPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPOOONNNMMMLLLKKKJJJIIIHHHHGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGHHHHIIIJJJKKKLLLMMMNNNOOOPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPOOONNNMMMLLLKKKJJJIIIHHHHGGGFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFGGGHHHHIIIJJJKKKLLLMMMNNNOOOPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPOOONNNMMMLLLKKKJJJIIIHHHHGGGFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFGGGHHHHIIIJJJKKKLLLMMMNNNOOOPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPOOONNNMMMLLLKKKJJJIIIHHHHGGGFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFGGGHHHHIIIJJJKKKLLLMMMNNNOOOPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPOOONNNMMMLLLKKKJJJIIIHHHHGGGFFFEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEFFFGGGHHHHIIIJJJKKKLLLMMMNNNOOOPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPOOONNNMMMLLLKKKJJJIIIHHHHGGGFFFEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEFFFGGGHHHHIIIJJJKKKLLLMMMNNNOOOPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPOOONNNMMMLLLKKKJJJIIIHHHHGGGFFFEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEFFFGGGHHHHIIIJJJKKKLLLMMMNNNOOOPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPOOONNNMMMLLLKKKJJJIIIHHHHGGGFFFEEEDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDEEEFFFGGGHHHHIIIJJJKKKLLLMMMNNNOOOPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPOOONNNMMMLLLKKKJJJIIIHHHHGGGFFFEEEDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDEEEFFFGGGHHHHIIIJJJKKKLLLMMMNNNOOOPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPOOONNNMMMLLLKKKJJJIIIHHHHGGGFFFEEEDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDEEEFFFGGGHHHHIIIJJJKKKLLLMMMNNNOOOPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPOOONNNMMMLLLKKKJJJIIIHHHHGGGFFFEEEDDDCCCCCCCCCCCCCCCCCCCCCCCCCDDDEEEFFFGGGHHHHIIIJJJKKKLLLMMMNNNOOOPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPOOONNNMMMLLLKKKJJJIIIHHHHGGGFFFEEEDDDCCCCCCCCCCCCCCCCCCCCCCCCCDDDEEEFFFGGGHHHHIIIJJJKKKLLLMMMNNNOOOPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPOOONNNMMMLLLKKKJJJIIIHHHHGGGFFFEEEDDDCCCCCCCCCCCCCCCCCCCCCCCCCDDDEEEFFFGGGHHHHIIIJJJKKKLLLMMMNNNOOOPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPOOONNNMMMLLLKKKJJJIIIHHHHGGGFFFEEEDDDCCCBBBBBBBBBBBBBBBBBBBCCCDDDEEEFFFGGGHHHHIIIJJJKKKLLLMMMNNNOOOPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPOOONNNMMMLLLKKKJJJIIIHHHHGGGFFFEEEDDDCCCBBBBBBBBBBBBBBBBBBBCCCDDDEEEFFFGGGHHHHIIIJJJKKKLLLMMMNNNOOOPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPOOONNNMMMLLLKKKJJJIIIHHHHGGGFFFEEEDDDCCCBBBBBBBBBBBBBBBBBBBCCCDDDEEEFFFGGGHHHHIIIJJJKKKLLLMMMNNNOOOPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPOOONNNMMMLLLKKKJJJIIIHHHHGGGFFFEEEDDDCCCBBBAAAAAAAAAAAAABBBCCCDDDEEEFFFGGGHHHHIIIJJJKKKLLLMMMNNNOOOPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPOOONNNMMMLLLKKKJJJIIIHHHHGGGFFFEEEDDDCCCBBBAAAAAAAAAAAAABBBCCCDDDEEEFFFGGGHHHHIIIJJJKKKLLLMMMNNNOOOPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPOOONNNMMMLLLKKKJJJIIIHHHHGGGFFFEEEDDDCCCBBBAAAAAAAAAAAAABBBCCCDDDEEEFFFGGGHHHHIIIJJJKKKLLLMMMNNNOOOPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPOOONNNMMMLLLKKKJJJIIIHHHHGGGFFFEEEDDDCCCBBBAAA@@@@@@@AAABBBCCCDDDEEEFFFGGGHHHHIIIJJJKKKLLLMMMNNNOOOPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPOOONNNMMMLLLKKKJJJIIIHHHHGGGFFFEEEDDDCCCBBBAAA@@@@@@@AAABBBCCCDDDEEEFFFGGGHHHHIIIJJJKKKLLLMMMNNNOOOPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPOOONNNMMMLLLKKKJJJIIIHHHHGGGFFFEEEDDDCCCBBBAAA@@@@@@@AAABBBCCCDDDEEEFFFGGGHHHHIIIJJJKKKLLLMMMNNNOOOPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPOOONNNMMMLLLKKKJJJIIIHHHHGGGFFFEEEDDDCCCBBBAAA@@@@@@@AAABBBCCCDDDEEEFFFGGGHHHHIIIJJJKKKLLLMMMNNNOOOPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPOOONNNMMMLLLKKKJJJIIIHHHHGGGFFFEEEDDDCCCBBBAAA@@@@@@@AAABBBCCCDDDEEEFFFGGGHHHHIIIJJJKKKLLLMMMNNNOOOPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPOOONNNMMMLLLKKKJJJIIIHHHHGGGFFFEEEDDDCCCBBBAAA@@@@@@@AAABBBCCCDDDEEEFFFGGGHHHHIIIJJJKKKLLLMMMNNNOOOPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPOOONNNMMMLLLKKKJJJIIIHHHHGGGFFFEEEDDDCCCBBBAAA@@@@@@@AAABBBCCCDDDEEEFFFGGGHHHHIIIJJJKKKLLLMMMNNNOOOPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPOOONNNMMMLLLKKKJJJIIIHHHHGGGFFFEEEDDDCCCBBBAAAAAAAAAAAAABBBCCCDDDEEEFFFGGGHHHHIIIJJJKKKLLLMMMNNNOOOPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPOOONNNMMMLLLKKKJJJIIIHHHHGGGFFFEEEDDDCCCBBBAAAAAAAAAAAAABBBCCCDDDEEEFFFGGGHHHHIIIJJJKKKLLLMMMNNNOOOPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPOOONNNMMMLLLKKKJJJIIIHHHHGGGFFFEEEDDDCCCBBBAAAAAAAAAAAAABBBCCCDDDEEEFFFGGGHHHHIIIJJJKKKLLLMMMNNNOOOPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPOOONNNMMMLLLKKKJJJIIIHHHHGGGFFFEEEDDDCCCBBBBBBBBBBBBBBBBBBBCCCDDDEEEFFFGGGHHHHIIIJJJKKKLLLMMMNNNOOOPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPOOONNNMMMLLLKKKJJJIIIHHHHGGGFFFEEEDDDCCCBBBBBBBBBBBBBBBBBBBCCCDDDEEEFFFGGGHHHHIIIJJJKKKLLLMMMNNNOOOPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPOOONNNMMMLLLKKKJJJIIIHHHHGGGFFFEEEDDDCCCBBBBBBBBBBBBBBBBBBBCCCDDDEEEFFFGGGHHHHIIIJJJKKKLLLMMMNNNOOOPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPOOONNNMMMLLLKKKJJJIIIHHHHGGGFFFEEEDDDCCCCCCCCCCCCCCCCCCCCCCCCCDDDEEEFFFGGGHHHHIIIJJJKKKLLLMMMNNNOOOPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPOOONNNMMMLLLKKKJJJIIIHHHHGGGFFFEEEDDDCCCCCCCCCCCCCCCCCCCCCCCCCDDDEEEFFFGGGHHHHIIIJJJKKKLLLMMMNNNOOOPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPOOONNNMMMLLLKKKJJJIIIHHHHGGGFFFEEEDDDCCCCCCCCCCCCCCCCCCCCCCCCCDDDEEEFFFGGGHHHHIIIJJJKKKLLLMMMNNNOOOPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPOOONNNMMMLLLKKKJJJIIIHHHHGGGFFFEEEDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDEEEFFFGGGHHHHIIIJJJKKKLLLMMMNNNOOOPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPOOONNNMMMLLLKKKJJJIIIHHHHGGGFFFEEEDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDEEEFFFGGGHHHHIIIJJJKKKLLLMMMNNNOOOPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPOOONNNMMMLLLKKKJJJIIIHHHHGGGFFFEEEDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDEEEFFFGGGHHHHIIIJJJKKKLLLMMMNNNOOOPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPOOONNNMMMLLLKKKJJJIIIHHHHGGGFFFEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEFFFGGGHHHHIIIJJJKKKLLLMMMNNNOOOPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPOOONNNMMMLLLKKKJJJIIIHHHHGGGFFFEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEFFFGGGHHHHIIIJJJKKKLLLMMMNNNOOOPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPOOONNNMMMLLLKKKJJJIIIHHHHGGGFFFEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEFFFGGGHHHHIIIJJJKKKLLLMMMNNNOOOPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPOOONNNMMMLLLKKKJJJIIIHHHHGGGFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFGGGHHHHIIIJJJKKKLLLMMMNNNOOOPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPOOONNNMMMLLLKKKJJJIIIHHHHGGGFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFGGGHHHHIIIJJJKKKLLLMMMNNNOOOPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPOOONNNMMMLLLKKKJJJIIIHHHHGGGFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFGGGHHHHIIIJJJKKKLLLMMMNNNOOOPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPOOONNNMMMLLLKKKJJJIIIHHHHGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGHHHHIIIJJJKKKLLLMMMNNNOOOPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPOOONNNMMMLLLKKKJJJIIIHHHHGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGHHHHIIIJJJKKKLLLMMMNNNOOOPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPOOONNNMMMLLLKKKJJJIIIHHHHGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGHHHHIIIJJJKKKLLLMMMNNNOOOPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPOOONNNMMMLLLKKKJJJIIIHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHIIIJJJKKKLLLMMMNNNOOOPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPOOONNNMMMLLLKKKJJJIIIHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHIIIJJJKKKLLLMMMNNNOOOPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPOOONNNMMMLLLKKKJJJIIIHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHIIIJJJKKKLLLMMMNNNOOOPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPOOONNNMMMLLLKKKJJJIIIHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHIIIJJJKKKLLLMMMNNNOOOPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPOOONNNMMMLLLKKKJJJIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIJJJKKKLLLMMMNNNOOOPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPOOONNNMMMLLLKKKJJJIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIJJJKKKLLLMMMNNNOOOPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPOOONNNMMMLLLKKKJJJIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIJJJKKKLLLMMMNNNOOOPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPOOONNNMMMLLLKKKJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJKKKLLLMMMNNNOOOPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPOOONNNMMMLLLKKKJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJKKKLLLMMMNNNOOOPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPOOONNNMMMLLLKKKJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJKKKLLLMMMNNNOOOPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPOOONNNMMMLLLKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKLLLMMMNNNOOOPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPOOONNNMMMLLLKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKLLLMMMNNNOOOPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPOOONNNMMMLLLKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKLLLMMMNNNOOOPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPOOONNNMMMLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLMMMNNNOOOPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPOOONNNMMMLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLMMMNNNOOOPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPOOONNNMMMLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLMMMNNNOOOPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPOOONNNMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMNNNOOOPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPOOONNNMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMNNNOOOPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPOOONNNMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMNNNOOOPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPOOONNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNOOOPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPOOONNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNOOOPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPOOONNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNOOOPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[ZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ[[[\\\]]]^^^___`
`___^^^]]]\\\[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[\\\]]]^^^___`
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`___^^^]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]^^^___`
`___^^^]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]^^^___`
`___^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^___`
`___^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^___`
`___^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^___`
`_______________________________________________________________________________________________________________________________________________________________________________________________________`
`_______________________________________________________________________________________________________________________________________________________________________________________________________`
`_______________________________________________________________________________________________________________________________________________________________________________________________________`
`````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````
@//E*O*F pat.def//
chmod u=rw,g=r,o=r pat.def
echo x - refract.c
sed 's/^@//' > "refract.c" <<'@//E*O*F refract.c//'
#include <math.h>
#include "rtd.h"
#include "macros.h"
#include "extern.h"
int refract (r, bll)/*I've not been looking forward to commenting this
please excuse it if it is ugly. (if it was hard
to write...) */
struct ray *r;
struct ball *bll;
{
struct vector new,
norm;
struct mat trans;
struct ray ir;
double l,
refk (), getcapt (), capt, inside ();
double stupid;
struct sphere ss;
/* deal with a ray coming into the ball. figure out the normal,
and how much of the light is transmitted (capt)*/
SV (norm, r -> org, bll -> s.cent);
norm.l = LEN (norm);
capt = getcapt (&norm, &(r -> dir), bll -> ior);
/* get the addition factor for the normal for refraction*/
stupid = refk (&(norm), &(r -> dir), bll -> ior);
SCMLT (stupid, norm);
AV (ir.dir, r -> dir, norm);
MV (r -> org.x, r -> org.y, r -> org.z, ir.org);
/* now get it for reflection */
SV (norm, r -> org, bll -> s.cent);
norm.l = LEN (norm);
SCMLT (1.0 / norm.l, norm);
stupid = 2.0 * DOT (norm, r -> dir);
SCMLT (stupid, norm);
SV (r -> dir, r -> dir, norm);
return ((int) ((1.0 - capt) * (double) shade (r) + ((capt) * inside (&ir, bll))));
}
double inside (r, bll)/* as above, except inside out. ior is 1.0/ior now */
struct ray *r;
struct ball *bll;
{
struct vector new,
norm;
struct mat trans;
struct ray er;
double findo (), lght, l, refk (), getcapt (), capt;
double stupid;
struct sphere ss;
if (++level < RLEV) {
r -> dir.l = LEN (r -> dir);
r -> dir.xzl = XZL (r -> dir);
mt (&(r -> dir), &trans);
ss.rad = bll -> s.rad;
SV (ss.cent, bll -> s.cent, r -> org);
l = findo (&trans, &ss);
MV (l * trans.x.x, l * trans.x.y, l * trans.x.z, new);
AV (er.org, r -> org, new);
AV (r -> org, r -> org, new);
SV (norm, er.org, bll -> s.cent);
norm.l = LEN (norm);
r -> dir.l = LEN (r -> dir);
capt = getcapt (&norm, &(r -> dir), 1.0 / bll -> ior);
stupid = refk (&norm, &(r -> dir), 1.0 / bll -> ior);
SCMLT (stupid, norm);
AV (er.dir, norm, r -> dir);
SV (norm, r -> org, bll -> s.cent);
norm.l = LEN (norm);
SCMLT (1.0 / norm.l, norm);
stupid = 2.0 * DOT (norm, r -> dir);
SCMLT (stupid, norm);
SV (r -> dir, r -> dir, norm);
lght = (1.0 - capt) * inside (r, bll) + (capt * (double) shade (&er));
}
else
lght = 0.0;
level--;
return (lght);
}
double refk (nrm, in, ior)/*gets amount of normal that has to be added to
incident ray to get the proper angle of
refraction by ancient mystical methods */
struct vector *nrm,
*in;
double ior;
{
double dt,
ln,
li,
ret;
ior = ior * ior;
dt = DOT ((*nrm), (*in));
ln = LN2 ((*nrm));
li = LN2 ((*in));
if (dt < 0)
ret = (-dt - sqrt (dt * dt - ln * li * (1 - ior))) / ln;
else
ret = (-dt + sqrt (dt * dt - ln * li * (1 - ior))) / ln;
return (ret);
}
double getcapt (nrm, dr, ior)/* gets amount of light transmitted
through ball by mystical methods mentioned
above. (see nasty physics text for details)*/
struct vector *nrm,
*dr;
double ior;
{
double dt,
cs1,
cs2,
p,
s;
dt = DOT ((*nrm), (*dr));
dt = dt * dt / LN2 ((*nrm)) / LN2 ((*dr));
cs1 = sqrt (dt);
cs2 = sqrt (1.0 - (1.0 - dt) / ior);
p = cs1 / (cs1 + ior * cs2);
s = cs1 / (ior * cs1 + cs2);
return (2.0 * (p * p + s * s));
}
@//E*O*F refract.c//
chmod u=rw,g=r,o=r refract.c
echo x - rtd.h
sed 's/^@//' > "rtd.h" <<'@//E*O*F rtd.h//'
struct color {
int r;int g;int b;};
struct vector {
double x;
double y;
double z;
double l;
double xzl;} ;
struct ray {
struct vector org;
struct vector dir;} ;
struct sphere {
struct vector cent;
double rad;} ;
struct ball {
struct sphere s;
double ior;
double rfr;
double rfl;
double dif;
double amb;
};
struct mat {
struct vector x; /* first !row! */
struct vector y; /*second !row! */
struct vector z;}; /* third !row! */
@//E*O*F rtd.h//
chmod u=rw,g=r,o=r rtd.h
echo x - shade.c
sed 's/^@//' > "shade.c" <<'@//E*O*F shade.c//'
/*
* this subroutine does all the gritty work- it calculates
* what shade each pixel should be. I like recursion.
*/
#include <math.h>
#include "rtd.h"
#include "macros.h"
#include "extern.h"
int shade (r)
struct ray *r;
{
int i,
c,
refract ();
struct ray refr;
double lght,
x,
y,
z,
l,
k,
dot (), find (), shadow ();
int sx,
sy;
double stupid;
struct vector new,
norm;
struct mat trans;
struct sphere ss;
if (++level <= LEVEL) {
c = -1;
l = HUGE;
/* get vector length and xz component for mt() */
r -> dir.l = LEN (r -> dir);
r -> dir.xzl = XZL (r -> dir);
/* make a transform matrix that rotates something in space so
that the ray will be aligned with the x axis */
mt (&(r -> dir), &trans);
/* for starters we find out whether we hit anything. */
for (i = 0; i < nob; i++) {
ss.rad = bl[i] -> s.rad;
SV (ss.cent, bl[i] -> s.cent, r -> org);
if ((k = find (&trans, &ss)) > 0.0 && k < l) {
c = i;
l = k;
}
}
if (c >= 0 && (l * trans.x.y + r -> org.y) > 0.0) {
/* WE HIT SOMETHING */
MV (l * trans.x.x, l * trans.x.y, l * trans.x.z, new);
/* move the new orgin of the ray to the intersection */
AV (refr.org, new, r -> org);
AV (r -> org, new, r -> org);
MV (r -> dir.x, r -> dir.y, r -> dir.z, refr.dir);
/* get a normal vector for the intersection point */
SV (norm, r -> org, bl[c] -> s.cent);
norm.l = LEN (norm);
/* ambient lighting */
lght = 200.0 * bl[c] -> amb;
/* shaded lighting (diffuse). subroutine shadow is in find.c */
if (bl[c] -> dif != 0.0) {
SV (new, ls.cent, r -> org);
new.l = LEN (new);
if ((k = DOT (new, norm)) > 0.0)
lght += bl[c] -> dif * shadow (&(r -> org)) * k / (new.l) / (norm.l);
}
/*reflection... easy */
if (bl[c] -> rfl != 0.0) {
/* make the normal unit length */
norm.l = LEN (norm);
SCMLT ((1.0 / norm.l), norm);
/* get the length of the ray's component in the normal direction */
stupid = 2.0 * DOT (norm, r -> dir);
SCMLT (stupid, norm);
/* subtract double the normal component- !reflection! */
SV (r -> dir, r -> dir, norm);
lght += bl[c] -> rfl * (double) shade (r);
}
/* refraction. this is ugly as sin, which is why I choose to deal with
it in it's own subroutine which is in it's own file now*/
if (bl[c] -> rfr != 0.0) {
lght += bl[c] -> rfr * (double) refract (&refr, bl[c]);
}
}
else { /* hit no objects... */
if ((r -> dir.y) < 0.0) {/* crosses floor */
z = -(r -> org.y) / (r -> dir.y);
(r -> org.x) += z * (r -> dir.x);
(r -> org.z) += z * (r -> dir.z);
(r -> org.y) = 0.0;
/*find out the mod of the value to see where it hits susie. (ouch)*/
/* mess *here* if you only want the pattern once */
SV (new, ls.cent, r -> org);
new.l = LEN (new);
sx = (int) (r -> org.x / 1.5) % xsue;
if (sx < 0)
sx += xsue;
sy = -(int) (r -> org.z / 1.5) % ysue;
if (sy < 0)
sy += ysue;
lght = (sam * suzie[sx][sy] + 1.0 - sam) * (0.8 *
shadow (&(r -> org)) * (new.y) / (new.l) + 40.0);
}
else { /* check to see if it hit lightsource */
SV (ss.cent, ls.cent, r -> org);
ss.rad = ls.rad;
if (find (&trans, &(ss.cent)) > 0.0)
lght = 255;
else
lght = 0;
}
}
}
/* to many levels return 0 cause it shouldn't matter */
else
lght = 0;
level--;
if (lght < 0.0)
lght = 0.0;
if (lght > 255.0)
lght = 255.0;
return ((int) lght);
}
@//E*O*F shade.c//
chmod u=rw,g=r,o=r shade.c
echo x - ship.pat
sed 's/^@//' > "ship.pat" <<'@//E*O*F ship.pat//'
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@@lnnmnoopppoonpoooqoqqqrprrrsssututtutqqpooopoplnmmmmnnmmmmmrsrutpruuvuuvvuwvuwwuwvuwvprutwwvvwlmi`]^XWVVVVVZVWWWXUUUTT[XVUYXWZZV[WTX\VQOSQOPOMPMLMQPNLMNWU^a`bffhfjhkjnkmkjmmjlkijlhijhhhhfheihda`cfbec`aa`accdffgffhhgeedcecbcbdcbcb`bb^`_[Z[\YX\YX\[\[^^^`_^`
@@lmmmnnnnppnoopqonooqpqprrrtrrtusttvtussppnnppnnonnoononnmnnpqrtsqruuuutwwwwvvwxvwvuwuprttvvvxvuvreab[ZXWXYXZY[ZVVWVWVTTSPPRQNTPPQPPRSOOLONLMKLMLJJJMKJNNX\``cdddhfekhhhlljklllmkllljlljjkjijhihedcffeedcbbbbdbegfghgiifffeeedeeceecdcdddaab__`Z[ZZWXXXX\ZZ\]\^\
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@//E*O*F ship.pat//
chmod u=rw,g=r,o=r ship.pat
echo x - support.c
sed 's/^@//' > "support.c" <<'@//E*O*F support.c//'
/*
* supportive subroutines...
*/
#include <math.h>
#include <stdio.h>
#include "rtd.h"
#include "extern.h"
mt (vec, trans)/* make a transpose matrix according to arcane laws
hidden in a linear algebra book plus a lot of my own
sweat. (if you reaaly wanna know, rotate around y axis,
then z axis.) */
struct vector *vec;
struct mat *trans;
{
if (vec -> xzl == 0.0) {
trans -> x.x = 0.0;
trans -> x.y = 1.0;
trans -> x.z = 0.0;
trans -> y.x = -1.0;
trans -> y.y = 0.0;
trans -> y.z = 0.0;
trans -> z.x = 0.0;
trans -> z.y = 0.0;
trans -> z.z = 1.0;
}
else {
trans -> x.x = (vec -> x) / (vec -> l);
trans -> x.y = (vec -> y) / (vec -> l);
trans -> x.z = (vec -> z) / (vec -> l);
trans -> y.x = -(vec -> x) * (vec -> y) / ((vec -> l) * (vec -> xzl));
trans -> y.y = (vec -> xzl) / (vec -> l);
trans -> y.z = -(vec -> z) * (vec -> y) / ((vec -> l) * (vec -> xzl));
trans -> z.x = -(vec -> z) / (vec -> xzl);
trans -> z.y = 0;
trans -> z.z = (vec -> x) / (vec -> xzl);
}
}
@//E*O*F support.c//
chmod u=rw,g=r,o=r support.c
echo x - susie.pat
sed 's/^@//' > "susie.pat" <<'@//E*O*F susie.pat//'
@@@@@@@@@@@@@@@@@@@@@@@@DDDDBBBBFDDDDDFHJNR^hddbddfhjlnljhdbZVRNLLHHIFDDBBDDFDDLPTVVVXXXXZXXXXXXZ\\]\\bd`\Z\\^`````\TJFFBBB@BBDBB@
@@@@@@@@@@@@@@@P@@@@@@@BBBDFFDBDFFDDFJLNRTXbfdbddb`^`^bffdb^`b\XPNLLJHDDDDBDDBFJRUXZXVVXXXXXXXZZZX\``^dhf^\^^bdb```XRFFHFFDFFDDFBD
@@@@@@@@@@@@@@@@@@@@@@@B@BBEDDBDFDDDDJPTVZ`dd``bbb^\^\^\bdb^\\db\TNPNLHFDDBDDDDHRTXXXTVXXZXZZVZZ\Z\bb`flh``dbffdb^`XLDDHFFHFFDFHFF
@@@@@@@@@@@@@@@@@@@@@@@@BBBDFDFDFFDFHNTXZ^aa`bdbbd``^^^^`bb`\X\``^VPRPLHFDBBDDDHPVXXZVXXZZZZZXXZZ\\dhhjrpbbhhllhab^VHFDHHHFFHFHHHH
@@@@@@@@@@@@@@@@@@@@@@@@@BDFDDFFFHHJLRX\XX\```bbdddb`\ZXXZZ^`\ZX\b`\TNNLHHDBDDDJPVXXZXXXX\ZZXZV\ZZ^hxppxvhfvrxtrdb\TFFDFFDDDFDFFFD
@@@@@@@@@@@@@@@@@@@@@@@@@BDDDHFFHHLNPXXZVT\bqa^beggd^\ZZXUTV\`^ZX\`^XPLLJHHDFFDHPVZ\XVZZXXZZXXXZZZ\dtnltth`vrxnrdb\THEDDDB@@BBB@@B
@@@@@@@@@@@@@@@@@@@@@@@@@DBDHHJHLNPTVZXVTTZ`b\\`dhf`_^\ZXVTTVX^\XZ^b`XRNNHHFFFDHRVXZZXZXXZZXZXZ\\Z^`ljkrtn`pnrlrf`\PHDBDB@@@@@@@@@
@@@@@@@@@@@@@@B@@@@@@@@@@BBFFJJLPPXZ\XVVZVZ^^Z\`ddb^```_ZYUTTRX\]Y\bdb\TPJLHHHHHPTXZ\ZZZX\ZZZZZZ\^\]^\ahhb^`dfhnh`XPHDDFB@@@@@@@@@
@@@@@@@@@@@@@@@B@@@@@@@@BDDGHJNPQTY`^YUX\Z\`ZZ^bd`\```db\XVVRRTV\XX\`fd\VPRLJJGHMSZ\\[Z[\\]ZZZZ\\Z\\\Z\dhb^\`bhtl`VNJGHHG@@@@@@@@@
@@@@@@@@@@@@B@@@@@@@A@@@BDFGJMSUVY]c`\Z\`\^`ZZ`^\Z^bqigfb^XVUTRTXZVW]debXXTNLJJHLTXZZ\Z\Z\`\\\Z\^^^^\Z^fge``bdftp^VLLJJJJ@@@@@@@@@
@@@@@@@@@@@@@B@@@@@@@@@BADGKLNV[^_cdb`_^b^``Z\ZVX\^`bdfhfd^ZVVTVVVXXZ^db\\ZRNNLHNTV\^\\\\`^`]\\^_`_\]\`fhe``bddtp^TPLNNLJ@@@@@@@@@
@@@@@@@@@@@@BBA@@@@@@@CDDJOSRZ`ddfhgd``b```^^VTXZZZ^chjhdb`_ZWTXWZUXZaffb`^TPLJNTZ\^^\^\\^^b`^`````_bcfhidcddftt_VVVTTTRB@@@@@@@@@
@@@@@@@@@BABBA@@@@@ACCFDDHRZ[`fjijjhfbbdddd`^VXZZXZZ\djlhf``^[XVVXWUX`cghdbZRNJPTX\^^^^^^``db`dddbbdbbdhhgdbedprb^\^Z\ZTB@@@@@@@@@
@@@@@@@@@B@RDCB@@@@BCBDECKV`fnnpnjhfd`bdhfgfbZ\[ZZUU\bhilie`_^]XWYUUWZ`dghd\VPLLRX\^\\\Z\`````bbcba`ba`fhhdfffjvc^\\\\\XD@@@@@P@@@
@@@@@@@@B@BBB@@@@@ABFDGDDL`hnoqkmhgif_`gjiijf``^\YUV[`fjllhfa^`^[YXUUVY`egd`ZVPOUX[_]\XZZ\^\]^^ab^^^^_bfhfc`d`ht^XWWVVVTD@@@@@@@@@
@@@@@@@@@BBBDDA@@@@@BDEFEGPfklmljkihhga`fijljhfe``\VY^chjlkhgeaa^^YXXVTY]bghd^XTPTZ]^][[ZZ\]\\]^^`^\^^\^ghf`^```lZPQLOPNJD@@@@@@@@
@@@@@@@A@B@@BB@B@@@@CEFGHPqllkkkkjhif``djjjllliee`\YW`iknlkigfb`]\XXTVUY^dkhb\XQSX\^^[ZXXZ\]]\``^\\^\_^eig_\_]YhXJFFEEDDD@@@@@@@@@
@@@@@@@@BBBEDCA@@@ACGHEGJThjjjkjjkjhf^^elmlnlllifd`\YYdknoljgebc_^ZYUVWZ\bjhe`YTVY[``]ZZY\^]^]`a^\\`b__djh`_`\T`XKDDDDCDD@@@@@@@@@
@@@@@A@@A@BCCCAB@@ACEFFJKUghiikjllliga^ehjlnpoomjiea\Z\gmnlligdcea`ZWVY[\ailid_YVZ^^`^YX[\]\\^b`^^^bb`bdhhbba\TVXJFEECABB@@@@@@@@@
@@@@@@@@BC@@DAABA@@@BDGGMZcihimkmmieb`abillpqpqqolifc_]`gkmlmhhdad`][UVZ\bhpnmg]WZ^`_]\[X\_^]^ba`^_bb`bfkhba_ZOZ^JHDCCAA@@@@@@@@@@
@@@@@@@A@B@@DFAA@@BBCDDGOYdhhknomkgc^\_cjmmopqtsrpllfec`bikljihfddb\Z[WZ[]dlnmka[\_a``\[Y\]\^abd`_`bbcbfije`\UNVZJFFDDB@A@@@@@@@@@
@@@@@@@@ACB@BB@A@@@BADEFMUdgflmnmhdb`[]dklmorstvutroiigebahlllihfda`XWYXZ]bjnpmha^`aa`\\Z\]]_bbbb`bbdacfjjdaZQIR\LHFDEB@B@@@@@@@@@
@@@@@@@A@B@@ABBACBBBBCEHPUeefnnmjdaa^]\ajloortuvwxurolmjhdbijjjigfa_\XVXY[`dlnljfbaabb^][^]_`aadbaaccccgjje_ULFSiMGFEDCBB@@@@@@@@@
@@@@@@@@@@B@@AAAA@BDEFILPVdggopmea^_^[]bimopquwxyyxvvsromjdcekkihhda[[YWXX\bgjnkieefcba\\]]_``bcabdeddfdjje\SJGTeNFGDDDECC@@@@@@@@
@@@@@@@A@A@AA@AA@@ADGGHMQWciipqi`^\[\[\djlopttuwyxyywvsrqmieabhhjmdb^ZXZXW[]ahhggehhhda]]``^aacbdbaeefhfklf]NIGOhQHGEEEDEE@A@@@@@@
@@@@@@@@@@BA@A@@ABDEEHJOTYfijpqgb]YXXY\cjlorstvxyyyywvutqomed_dejlkc`ZXVXZZ[]cffdfjolhc`^_`a`aabdcdfegfghicYMJILeTJEEEDDECA@@@@@@B
@@BA@AAB@@@A@@@@@ACFGJMNU\fjkpoe_\YWXWXdhmoqsvvwyz|yyxvtqpmjga]`hllg`[XWYYYZ[acecdkplic_^aa^aabbddcegggffjfVMJHJhXIFGEFFEEBBA@B@@A
BA@A@@A@@AB@AAACCFDHKPRT_hhhooe`[ZWVXYellpquuvxyyzzzxvtqomjec^`enoja]YVWYXZ[^`a``inmmfc`ca``bbbddefijighjeVLKILg]JFFEEEEDADADACBB
BBA@@CAACA@A@BCCEDJMQQWaighkme_\YXXX[fllppsuuxxyzyzzxvsqnlfdb`^lqpf][YWUWXZ]``bacimmicbdd`bbbfddfhhjidikfWLKJKc^IHGGEEDDDACDCCBCA
DB@@@AABBAADB@CBEFFMPTVeifeklf_\YXVVZejmoqsttuxxxyzyvvtqojgb```krpkb]ZUTTVY[^^`^aeknidccc``bdffggkkkiffjhYLJKH_dLHGFFFEEEBDCDDDDD
CCA@@A@ABACCBADDBEILSU\fidfhlg`\XVTTYgmnooqrqsuuwxxyvuspmkfdba`ltqoe^[WVTTVZ]\\]`agljfdeb`abdddhjilkjfeli]NKJJY`LHGGGHDEDDCEDBCBC
BDC@BB@@A@CCDCFEDGJPTY_hkeehljd`[TPPXhmlnmllmmpssuvxvtprklfd``bpytoka[YXWTUX\\ZZ\_chjgeeb``bcefiillkidcjj]OKIKXeMIIGHHDEFDDGDBDCD
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CBCCAB@AB@BDDEDFHIIKU]adgijhhfhhd[XNPYjnmiifa`\]cjptvrljh``XWYZ]mzxtlhc]YVVTTV[[\][Z`dfhg``aadehklljkf\XemcPLJHLWOIHFFFFEDDCEEFDD
EDECBA@AABDDCCGHGJNU\`cekighfdec_XPP[komib\]WU[]cnqtrje]YXWY[\]kxxvnjhbZVVTSTZ][`][adfhfaa`bfgginkifdWSalfVKJJLdTHHJHFFFFDCDFEFDP
DDECBBCBCDEFFHJJHLSY\^dkpnnfedcfa]TQ\lppj_[`XRY^dkqutkb[ZZUPQRWesxtkhgg`YVVSUV[_`]]bedcgdaadefhjjjhb]QP^kgUJKIIcWIHGGFFDGCBCCEEGF
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@//E*O*F susie.pat//
chmod u=rw,g=r,o=r susie.pat
echo x - tracer.c
sed 's/^@//' > "tracer.c" <<'@//E*O*F tracer.c//'
/***************************************************************
* basic ray tracing package tracer2.0 *
* version 0.0 done 6/1/86-6/10/86 *
* version 1.0 released 6/29/86 *
* version 2.0 released 7/5/86 *
* by friedrich knauss (one tired programmer) *
***************************************************************/
#include <stdio.h>
#include <math.h>
#include "rtd.h"
#include "macros.h"
FILE * fp;
double suzie[300][300],
sam = 1.0;
int xsue,
ysue;
struct ball *bl[150];
int level,
nob;
struct sphere ls;
main (argc, argv)
int argc;
char **argv;
{
FILE * df, *texfile;
static double xco,
yco;
struct ray rr;
struct vector vp;
double x,
y,
z;
int i,
in = 0,
out = 0,
tex = 0;
int c;
/* command interp */
for (i = 1; i < argc; i++) {
if (argv[i][0] != '-')
booboo ("Options strt with a '-' bozo");
c = argv[i][1];
switch (c) {
case ('i'): /* input file */
if (in)
booboo ("Sorry, but you may only have one input file");
in = 1;
if ((i + 1) >= argc || argv[i + 1][0] == '-')/* no arg */
df = stdin;
else
if ((df = fopen (argv[++i], "r")) == NULL)
booboo ("input file not found");
break;
case ('o'): /* output file */
if (out)
booboo ("Sorry, but you may have only one output file");
out = 1;
if ((i + 1) >= argc || argv[i + 1][0] == '-')/* no arg */
fp = stdout;
else
fp = fopen (argv[++i], "w");
break;
case ('s'): /* susie file */
if (tex)
booboo ("Sorry, but you may have only one image file");
if ((i + 1) >= argc || argv[i + 1][0] == '-')/* no arg */
booboo ("-s requires an argument");
tex = 1;
if ((texfile = fopen (argv[++i], "r")) == NULL)
booboo ("image file not found");
break;
booboo ("this line shouldn't do anything");
case ('S'): /* amount of susie */
if (argv[i][2] < '0' || argv[i][2] > 9)
booboo ("-S needs a numerical argument");
sam = atof (&(argv[i][2]));
break;
default:
booboo ("Unrecognized option. Better try again");
}
}
if (!in)
if ((df = fopen ("bdata.i", "r")) == NULL)
booboo ("bdata.i not found");
if (!out)
fp = fopen ("data.dis", "w");
if (!tex)
if ((texfile = fopen ("pat.def", "r")) == NULL)
booboo ("pat.def not found");
/* if you can't figure *this* out, you should go home */
nob = g_bal (df);
g_bod (texfile);
MV (95.0, 140.0, -200.0, vp);
MV (0.0, 900.0, 0.0, ls.cent);
ls.rad = 40;
fprintf (fp, "%d %d\n", (int) ((XMAX - XMIN) * SCALE), (int) ((YMAX - YMIN) * SCALE));
for (yco = YMAX * SCALE; yco > YMIN * SCALE; yco--)
for (xco = XMIN * SCALE; xco < XMAX * SCALE; xco++) {
MV (xco / SCALE, yco / SCALE, 0.0, rr.org);
SV (rr.dir, rr.org, vp);
fprintf (fp, "%c", shade (&rr));
}
}
booboo (str)
char *str; {
printf ("%s\n", str);
exit (-1);
}
@//E*O*F tracer.c//
chmod u=rw,g=r,o=r tracer.c
exit 0daveh@cheops.OZ (David Hume) (08/15/86)
I'm afraid that the copy of this that was received here was a bit jumbled (parts of the shar file were missing!!). Has anyone (particularly in Australian ACSnet domain) a "clean" copy? The version received here missed some of macros.h and the "best" reconstrution produced this :- > cc tracer.o shade.o find.o support.o refract.o g_bod.o g_bal.o -lm -o tracer > Undefined: > _LEN > _XZL > _DOT > _SCMLT > _LN2 > *** Error code 1 Thanks in advance, David Hume, University of New South Wales, Sydney, Australia. .. daveh@elecvax.OZ
drm@usl.UUCP (Dennis Moreau) (08/27/86)
Our copy was also corrupted (seriously truncated); could someone with a clean copy forward it here? thanks.