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Programming in Anime: Follow-up

Posted on: 30 Nov 2012 16:08:21 PST

Categories: Archives Codes Multiply

Tags: anime basic code code digimon

Posted in Multiply on Jan 27, ‘09 7:18 PMHello…

As the title says it, this is a follow-up to this entry I recently posted.

Let’s bring up that picture and code again:

[img 404]ERRATUM: line 120 should be while s<1 or s>=2 (line now corrected)

100 /* func sample, coast creation */ 110 float s 120 while s<1 or s>=2 130 input “ratio 1 to 2”; s 140 endwhile 150 s = (s-1)/10+1 160 screen 1,2,1,1 170 s=sqr(s*s-1) 180 float x0=100, x1=412, y0=0, y1=0 190 fractal(x0,x1,y0,y1,1)200 line(100, 50, 412, 50, 255, 65535) 210 end220 func fractal(x0;float,x1;float,y0;float,y1;float,sp;int) 230 float l, r, x2, y2 240 l=sqr[(x1-x0)*(x1-x0)+(y1-y0)*(y1-y0)] 250 if l<2 or sp>=9 then ( 260 line(x0,y0/3+50,x1,y1/3+50,255,65535) ; return() 270 ) 280 r=rnd()+rnd()+rnd()-2 290 x2=(x0+x1)/2+s*(y1-y0)*r 300 y2=(y0+y1)/2+s(x0+x1)*r 310 sp = sp + 1 320 fractal(x0,x2,y0,y2,sp) 330 fractal(x2,x1,y2,y1,sp) 340 endfunc

Last time, I discussed this, but only superficially. Today, we’ll delve deeper into the code.

Let us dissect the code as we go along.

The comment block at line 100 says that this is a sample coast creation function. I don’t really know what that means, but delving in through the code, we see the line

110 float s 120 while s<1 or s>2 130 input “ratio 1 to 2”; s 140 endwhile

Since the language used was BASIC, I think this is how you say that a person’s input from the keyboard be saved to a variable, in this case s. For those familiar with C, this is its equivalent (if the assumption holds):

float s=0; /*Initial condition for the program to enter the loop*/ while (s<1

s>2) { printf(“ratio 1 to 2”); scanf(“%f”, &s); }

In Java,

BufferedReader in = new BufferedReader(new InputStreamReader(System.in)); float s = 0; /*Initial value of s; in Java, all declared variables should have an initial value (even objects)*/ while (s<1

s>2) { System.out.print(“ratio 1 to 2”); try { s = in.readLine(); } catch (IOException e) {} /*readline throws IOException, so this is required*/ }

The codes above assume that the program is being run in a command-line environment. If a Graphical User Interface (GUI) is desired, the Java code segment transforms into:

float s=0; while (s<1

s>2) { s = (Double)JOptionPane.showInputDialog(null, “ratio 1 to 2”); }

This brings up a pop-up window. Of course, you can design your own by making the code inherit JFrame, but then this will take longer segments of code.

In C, GUI is hard to implement, so I will pass writing a code segment.

That aside, another erratum: it is evident that the program only accepts input from the domain [1,2), excluding 2. This implies that input can range from 10000… to 1.99999…, or it will repeat asking you for a valid value until you enter

Then the following line appears:

150 s = (s-1)/10+1

Running this as a C program where s starts with 1 and ends with 1.999999, the output will range from 1.000000 to 1.1000000.

Here is the C code:

#include <stdio.h>

int main (void) { float s=1; while (s>=1&&s<2) { printf (“s=%f,exp=%f\n”, s, (s-1)/10+1); s=s+0.000001; } return 0; }

Then follows this code segment: 160 screen 1,2,1,1

I really don’t know what this means. (If someone knows, let me know.)

Then,

170 s=sqr(s*s-1)

Which takes the square root of s (range 1.000000 to 1.100000 based on our C program earlier). With this, the value of s will range from 0 to 0.458258. Then follows the declarations

180 float x0=100, x1=412, y0=0, y1=0

and the functions

190 fractal(x0,x1,y0,y1,1)200 line(100, 50, 412, 50, 255, 65535)

, then the flag indicating the end of the main function

210 end

Then follows the declaration of function fractal:

220 func fractal(x0;float,x1;float,y0;float,y1;float,sp;int)

This says that function fractal takes the following as arguments: float arguments: x0, x1, y0, y1, sp integer

Based on the following previous lines

180 float x0=100, x1=412, y0=0, y1=0 190 fractal(x0,x1,y0,y1,1)

The value of s is not used in this function. (It also appears to be not used at all. But then it is utilized at line 290 and 300, as we see later on.)

Then we again find the following declaration:

230 float l, r, x2, y2

Then the following:

240 l=sqr[(x1-x0)*(x1-x0)+(y1-y0)*(y1-y0)]

As we can see, this is the distance formula. Then we find the following if statement block:

250 if l<2 or sp>=9 then ( 260 line(x0,y0/3+50,x1,y1/3+50,255,65535) ; return() 270 )

From the following previous lines

180 float x0=100, x1=412, y0=0, y1=0 190 fractal(x0,x1,y0,y1,1) 220 func fractal(x0;float,x1;float,y0;float,y1;float,sp;int) 240 l=sqr[(x1-x0)*(x1-x0)+(y1-y0)*(y1-y0)]

l=312. (line 180 is the initial value when the function is first called)

Then sp=1.

As we can see, line 250 is not satisfied, so control goes to the following:

280 r=rnd()+rnd()+rnd()-2

If I am not mistaken, rnd() returns a random number. Searching the rnd() function via Google, the site http://msdn.microsoft.com/en-us/library/e566zd96(VS.85).aspx states:

The Rnd function returns a value less than 1 but greater than or equal to 0. The value of number determines how Rnd generates a random number:

If number is	Rnd generates
Less than zero	The same number every time, using number as the seed.
Greater than zero	The next random number in the sequence.
Equal to zero	The most recently generated number.
Not supplied	The next random number in the sequence.

For any given initial seed, the same number sequence is generated because each successive call to the Rnd function uses the previous number as a seed for the next number in the sequence.Taking the case where rnd() returns 0.999999 (the highest possible number returned at six decimal places), the expression evaluates to:

r = 0.999999+0.999999+0.999999-2 = 0.999997

Then comes the following segment:

290 x2=(x0+x1)/2+s*(y1-y0)*r 300 y2=(y0+y1)/2+s*(x0-x1)*r

ERRATUM: lines 290 and 300 is NOT the midpoint formula, and in line 300, s*(x0-x1), not s(x0+x1). From the previous lines

180 float x0=100, x1=412, y0=0, y1=0 220 func fractal(x0;float,x1;float,y0;float,y1;float,sp;int)

and taking s as 1.100000 and s at 0.999997 (the highest possible value at 6 places we have established later on),

x2=256.000000 y2=-343.198970

Then it increments sp by 1, as evident in the following line:

310 sp = sp + 1

Then

320 fractal(x0,x2,y0,y2,sp)

This line calls recursively function fractal, which then executes the function again until the if statement block becomes true, which then calls

260 line(x0,y0/3+50,x1,y1/3+50,255,65535) ; return()

After the function returns, it then executes the following line:

330 fractal(x2,x1,y2,y1,sp)

which does again what is stated above, albeit different values in its arguments. Then the following ends the function:

340 endfunc

The program is then assumed to be terminated, since there are no other instructions that follow.

I have converted the code above into a C program:

#include <stdio.h> #include <math.h> #include <time.h>

void fractal (float x0, float x1, float y0, float y1, float sp, double s); void line (float x0, float x1, float y0, float y1, int char_largest_value, int int_largest_value);

int main (void) { double s=0; float x0=100, x1=412, y0=0, y1=0;

while (s<1

s>2){ printf (“\nRatio 1 to 2: “); scanf (“%lf”, &s); } s=(s-1)/10+1; s=sqrt(s*s-1); fractal(x0,x1,y0,y1,1,s); line(100,50,412,50,255,65535); return 0; }

void fractal (float x0, float x1, float y0, float y1, float sp, double s) { float l, r, x2, y2; l=sqrt((x1-x0)*(x1-x0)+(y1-y0)*(y1-y0)); if (l<2

sp>=9) { line(x0,y0/3+50,x1,y1/3+50,255,65535); return; } srand(time(NULL)); r=rand()+rand()+rand()-2; x2=(x0+x1)/2+s*(y1-y0)*r; y2=(y0+y1)/2+s*(x0+x1)*r; sp = sp + 1; fractal(x0,x2,y0,y2,sp,s); fractal(x2,x1,y2,y1,sp,s); }

void line (float x0, float x1, float y0, float y1, int char_largest_value, int int_largest_value) { printf (“\nx0=%f, x1=%f, y0=%f, y1=%f, char_largest_value=%d, int_largest_value=%d”, x0,x1,y0,y1,char_largest_value,int_largest_value); }

, compiled and ran it. The code has the following characteristics:

160 screen 1,2,1,1

was omitted since it is not known what this does. Function line is assumed to just print the values of its parameters. s was added as a sixth parameter to

190 fractal(x0,x1,y0,y1,1)

since s should be passed to function fractal.

srand(time(NULL));

was added in order to make the rand() function generate more numbers more randomly.

Running the compiled code with 1 as an argument, the resulting input is:

x0=100.000000, x1=50.000000, y0=101.218750, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=101.218750, x1=50.000000, y0=102.437500, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=102.437500, x1=50.000000, y0=103.656250, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=103.656250, x1=50.000000, y0=104.875000, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=104.875000, x1=50.000000, y0=106.093750, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=106.093750, x1=50.000000, y0=107.312500, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=107.312500, x1=50.000000, y0=108.531250, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=108.531250, x1=50.000000, y0=109.750000, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=109.750000, x1=50.000000, y0=110.968750, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=110.968750, x1=50.000000, y0=112.187500, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=112.187500, x1=50.000000, y0=113.406250, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=113.406250, x1=50.000000, y0=114.625000, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=114.625000, x1=50.000000, y0=115.843750, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=115.843750, x1=50.000000, y0=117.062500, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=117.062500, x1=50.000000, y0=118.281250, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=118.281250, x1=50.000000, y0=119.500000, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=119.500000, x1=50.000000, y0=120.718750, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=120.718750, x1=50.000000, y0=121.937500, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=121.937500, x1=50.000000, y0=123.156250, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=123.156250, x1=50.000000, y0=124.375000, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=124.375000, x1=50.000000, y0=125.593750, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=125.593750, x1=50.000000, y0=126.812500, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=126.812500, x1=50.000000, y0=128.031250, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=128.031250, x1=50.000000, y0=129.250000, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=129.250000, x1=50.000000, y0=130.468750, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=130.468750, x1=50.000000, y0=131.687500, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=131.687500, x1=50.000000, y0=132.906250, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=132.906250, x1=50.000000, y0=134.125000, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=134.125000, x1=50.000000, y0=135.343750, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=135.343750, x1=50.000000, y0=136.562500, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=136.562500, x1=50.000000, y0=137.781250, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=137.781250, x1=50.000000, y0=139.000000, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=139.000000, x1=50.000000, y0=140.218750, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=140.218750, x1=50.000000, y0=141.437500, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=141.437500, x1=50.000000, y0=142.656250, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=142.656250, x1=50.000000, y0=143.875000, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=143.875000, x1=50.000000, y0=145.093750, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=145.093750, x1=50.000000, y0=146.312500, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=146.312500, x1=50.000000, y0=147.531250, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=147.531250, x1=50.000000, y0=148.750000, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=148.750000, x1=50.000000, y0=149.968750, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=149.968750, x1=50.000000, y0=151.187500, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=151.187500, x1=50.000000, y0=152.406250, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=152.406250, x1=50.000000, y0=153.625000, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=153.625000, x1=50.000000, y0=154.843750, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=154.843750, x1=50.000000, y0=156.062500, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=156.062500, x1=50.000000, y0=157.281250, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=157.281250, x1=50.000000, y0=158.500000, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=158.500000, x1=50.000000, y0=159.718750, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=159.718750, x1=50.000000, y0=160.937500, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=160.937500, x1=50.000000, y0=162.156250, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=162.156250, x1=50.000000, y0=163.375000, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=163.375000, x1=50.000000, y0=164.593750, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=164.593750, x1=50.000000, y0=165.812500, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=165.812500, x1=50.000000, y0=167.031250, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=167.031250, x1=50.000000, y0=168.250000, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=168.250000, x1=50.000000, y0=169.468750, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=169.468750, x1=50.000000, y0=170.687500, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=170.687500, x1=50.000000, y0=171.906250, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=171.906250, x1=50.000000, y0=173.125000, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=173.125000, x1=50.000000, y0=174.343750, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=174.343750, x1=50.000000, y0=175.562500, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=175.562500, x1=50.000000, y0=176.781250, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=176.781250, x1=50.000000, y0=178.000000, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=178.000000, x1=50.000000, y0=179.218750, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=179.218750, x1=50.000000, y0=180.437500, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=180.437500, x1=50.000000, y0=181.656250, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=181.656250, x1=50.000000, y0=182.875000, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=182.875000, x1=50.000000, y0=184.093750, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=184.093750, x1=50.000000, y0=185.312500, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=185.312500, x1=50.000000, y0=186.531250, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=186.531250, x1=50.000000, y0=187.750000, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=187.750000, x1=50.000000, y0=188.968750, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=188.968750, x1=50.000000, y0=190.187500, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=190.187500, x1=50.000000, y0=191.406250, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=191.406250, x1=50.000000, y0=192.625000, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=192.625000, x1=50.000000, y0=193.843750, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=193.843750, x1=50.000000, y0=195.062500, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=195.062500, x1=50.000000, y0=196.281250, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=196.281250, x1=50.000000, y0=197.500000, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=197.500000, x1=50.000000, y0=198.718750, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=198.718750, x1=50.000000, y0=199.937500, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=199.937500, x1=50.000000, y0=201.156250, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=201.156250, x1=50.000000, y0=202.375000, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=202.375000, x1=50.000000, y0=203.593750, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=203.593750, x1=50.000000, y0=204.812500, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=204.812500, x1=50.000000, y0=206.031250, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=206.031250, x1=50.000000, y0=207.250000, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=207.250000, x1=50.000000, y0=208.468750, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=208.468750, x1=50.000000, y0=209.687500, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=209.687500, x1=50.000000, y0=210.906250, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=210.906250, x1=50.000000, y0=212.125000, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=212.125000, x1=50.000000, y0=213.343750, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=213.343750, x1=50.000000, y0=214.562500, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=214.562500, x1=50.000000, y0=215.781250, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=215.781250, x1=50.000000, y0=217.000000, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=217.000000, x1=50.000000, y0=218.218750, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=218.218750, x1=50.000000, y0=219.437500, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=219.437500, x1=50.000000, y0=220.656250, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=220.656250, x1=50.000000, y0=221.875000, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=221.875000, x1=50.000000, y0=223.093750, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=223.093750, x1=50.000000, y0=224.312500, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=224.312500, x1=50.000000, y0=225.531250, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=225.531250, x1=50.000000, y0=226.750000, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=226.750000, x1=50.000000, y0=227.968750, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=227.968750, x1=50.000000, y0=229.187500, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=229.187500, x1=50.000000, y0=230.406250, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=230.406250, x1=50.000000, y0=231.625000, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=231.625000, x1=50.000000, y0=232.843750, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=232.843750, x1=50.000000, y0=234.062500, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=234.062500, x1=50.000000, y0=235.281250, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=235.281250, x1=50.000000, y0=236.500000, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=236.500000, x1=50.000000, y0=237.718750, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=237.718750, x1=50.000000, y0=238.937500, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=238.937500, x1=50.000000, y0=240.156250, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=240.156250, x1=50.000000, y0=241.375000, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=241.375000, x1=50.000000, y0=242.593750, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=242.593750, x1=50.000000, y0=243.812500, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=243.812500, x1=50.000000, y0=245.031250, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=245.031250, x1=50.000000, y0=246.250000, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=246.250000, x1=50.000000, y0=247.468750, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=247.468750, x1=50.000000, y0=248.687500, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=248.687500, x1=50.000000, y0=249.906250, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=249.906250, x1=50.000000, y0=251.125000, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=251.125000, x1=50.000000, y0=252.343750, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=252.343750, x1=50.000000, y0=253.562500, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=253.562500, x1=50.000000, y0=254.781250, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=254.781250, x1=50.000000, y0=256.000000, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=256.000000, x1=50.000000, y0=257.218750, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=257.218750, x1=50.000000, y0=258.437500, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=258.437500, x1=50.000000, y0=259.656250, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=259.656250, x1=50.000000, y0=260.875000, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=260.875000, x1=50.000000, y0=262.093750, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=262.093750, x1=50.000000, y0=263.312500, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=263.312500, x1=50.000000, y0=264.531250, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=264.531250, x1=50.000000, y0=265.750000, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=265.750000, x1=50.000000, y0=266.968750, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=266.968750, x1=50.000000, y0=268.187500, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=268.187500, x1=50.000000, y0=269.406250, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=269.406250, x1=50.000000, y0=270.625000, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=270.625000, x1=50.000000, y0=271.843750, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=271.843750, x1=50.000000, y0=273.062500, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=273.062500, x1=50.000000, y0=274.281250, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=274.281250, x1=50.000000, y0=275.500000, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=275.500000, x1=50.000000, y0=276.718750, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=276.718750, x1=50.000000, y0=277.937500, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=277.937500, x1=50.000000, y0=279.156250, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=279.156250, x1=50.000000, y0=280.375000, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=280.375000, x1=50.000000, y0=281.593750, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=281.593750, x1=50.000000, y0=282.812500, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=282.812500, x1=50.000000, y0=284.031250, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=284.031250, x1=50.000000, y0=285.250000, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=285.250000, x1=50.000000, y0=286.468750, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=286.468750, x1=50.000000, y0=287.687500, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=287.687500, x1=50.000000, y0=288.906250, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=288.906250, x1=50.000000, y0=290.125000, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=290.125000, x1=50.000000, y0=291.343750, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=291.343750, x1=50.000000, y0=292.562500, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=292.562500, x1=50.000000, y0=293.781250, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=293.781250, x1=50.000000, y0=295.000000, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=295.000000, x1=50.000000, y0=296.218750, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=296.218750, x1=50.000000, y0=297.437500, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=297.437500, x1=50.000000, y0=298.656250, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=298.656250, x1=50.000000, y0=299.875000, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=299.875000, x1=50.000000, y0=301.093750, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=301.093750, x1=50.000000, y0=302.312500, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=302.312500, x1=50.000000, y0=303.531250, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=303.531250, x1=50.000000, y0=304.750000, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=304.750000, x1=50.000000, y0=305.968750, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=305.968750, x1=50.000000, y0=307.187500, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=307.187500, x1=50.000000, y0=308.406250, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=308.406250, x1=50.000000, y0=309.625000, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=309.625000, x1=50.000000, y0=310.843750, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=310.843750, x1=50.000000, y0=312.062500, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=312.062500, x1=50.000000, y0=313.281250, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=313.281250, x1=50.000000, y0=314.500000, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=314.500000, x1=50.000000, y0=315.718750, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=315.718750, x1=50.000000, y0=316.937500, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=316.937500, x1=50.000000, y0=318.156250, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=318.156250, x1=50.000000, y0=319.375000, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=319.375000, x1=50.000000, y0=320.593750, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=320.593750, x1=50.000000, y0=321.812500, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=321.812500, x1=50.000000, y0=323.031250, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=323.031250, x1=50.000000, y0=324.250000, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=324.250000, x1=50.000000, y0=325.468750, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=325.468750, x1=50.000000, y0=326.687500, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=326.687500, x1=50.000000, y0=327.906250, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=327.906250, x1=50.000000, y0=329.125000, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=329.125000, x1=50.000000, y0=330.343750, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=330.343750, x1=50.000000, y0=331.562500, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=331.562500, x1=50.000000, y0=332.781250, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=332.781250, x1=50.000000, y0=334.000000, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=334.000000, x1=50.000000, y0=335.218750, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=335.218750, x1=50.000000, y0=336.437500, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=336.437500, x1=50.000000, y0=337.656250, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=337.656250, x1=50.000000, y0=338.875000, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=338.875000, x1=50.000000, y0=340.093750, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=340.093750, x1=50.000000, y0=341.312500, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=341.312500, x1=50.000000, y0=342.531250, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=342.531250, x1=50.000000, y0=343.750000, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=343.750000, x1=50.000000, y0=344.968750, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=344.968750, x1=50.000000, y0=346.187500, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=346.187500, x1=50.000000, y0=347.406250, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=347.406250, x1=50.000000, y0=348.625000, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=348.625000, x1=50.000000, y0=349.843750, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=349.843750, x1=50.000000, y0=351.062500, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=351.062500, x1=50.000000, y0=352.281250, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=352.281250, x1=50.000000, y0=353.500000, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=353.500000, x1=50.000000, y0=354.718750, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=354.718750, x1=50.000000, y0=355.937500, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=355.937500, x1=50.000000, y0=357.156250, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=357.156250, x1=50.000000, y0=358.375000, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=358.375000, x1=50.000000, y0=359.593750, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=359.593750, x1=50.000000, y0=360.812500, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=360.812500, x1=50.000000, y0=362.031250, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=362.031250, x1=50.000000, y0=363.250000, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=363.250000, x1=50.000000, y0=364.468750, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=364.468750, x1=50.000000, y0=365.687500, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=365.687500, x1=50.000000, y0=366.906250, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=366.906250, x1=50.000000, y0=368.125000, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=368.125000, x1=50.000000, y0=369.343750, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=369.343750, x1=50.000000, y0=370.562500, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=370.562500, x1=50.000000, y0=371.781250, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=371.781250, x1=50.000000, y0=373.000000, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=373.000000, x1=50.000000, y0=374.218750, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=374.218750, x1=50.000000, y0=375.437500, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=375.437500, x1=50.000000, y0=376.656250, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=376.656250, x1=50.000000, y0=377.875000, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=377.875000, x1=50.000000, y0=379.093750, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=379.093750, x1=50.000000, y0=380.312500, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=380.312500, x1=50.000000, y0=381.531250, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=381.531250, x1=50.000000, y0=382.750000, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=382.750000, x1=50.000000, y0=383.968750, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=383.968750, x1=50.000000, y0=385.187500, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=385.187500, x1=50.000000, y0=386.406250, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=386.406250, x1=50.000000, y0=387.625000, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=387.625000, x1=50.000000, y0=388.843750, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=388.843750, x1=50.000000, y0=390.062500, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=390.062500, x1=50.000000, y0=391.281250, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=391.281250, x1=50.000000, y0=392.500000, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=392.500000, x1=50.000000, y0=393.718750, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=393.718750, x1=50.000000, y0=394.937500, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=394.937500, x1=50.000000, y0=396.156250, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=396.156250, x1=50.000000, y0=397.375000, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=397.375000, x1=50.000000, y0=398.593750, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=398.593750, x1=50.000000, y0=399.812500, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=399.812500, x1=50.000000, y0=401.031250, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=401.031250, x1=50.000000, y0=402.250000, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=402.250000, x1=50.000000, y0=403.468750, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=403.468750, x1=50.000000, y0=404.687500, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=404.687500, x1=50.000000, y0=405.906250, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=405.906250, x1=50.000000, y0=407.125000, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=407.125000, x1=50.000000, y0=408.343750, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=408.343750, x1=50.000000, y0=409.562500, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=409.562500, x1=50.000000, y0=410.781250, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=410.781250, x1=50.000000, y0=412.000000, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=100.000000, x1=50.000000, y0=412.000000, y1=50.000000, char_largest_value=255, int_largest_value=65535

With 1.999999 as an argument (the largest value at six decimal places), the following were the output:

x0=100.000000, x1=50.000000, y0=inf, y1=inf, char_largest_value=255, int_largest_value=65535 x0=inf, x1=inf, y0=inf, y1=inf, char_largest_value=255, int_largest_value=65535 x0=inf, x1=inf, y0=nan, y1=inf, char_largest_value=255, int_largest_value=65535 x0=nan, x1=inf, y0=inf, y1=inf, char_largest_value=255, int_largest_value=65535 x0=inf, x1=inf, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=nan, y1=inf, char_largest_value=255, int_largest_value=65535 x0=nan, x1=inf, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=inf, y1=inf, char_largest_value=255, int_largest_value=65535 x0=inf, x1=inf, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=nan, y1=inf, char_largest_value=255, int_largest_value=65535 x0=nan, x1=inf, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=inf, y1=341709796458605857391293497344.000000, char_largest_value=255, int_largest_value=65535 x0=inf, x1=341709796458605857391293497344.000000, y0=inf, y1=inf, char_largest_value=255, int_largest_value=65535 x0=inf, x1=inf, y0=inf, y1=inf, char_largest_value=255, int_largest_value=65535 x0=inf, x1=inf, y0=nan, y1=inf, char_largest_value=255, int_largest_value=65535 x0=nan, x1=inf, y0=inf, y1=inf, char_largest_value=255, int_largest_value=65535 x0=inf, x1=inf, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=nan, y1=inf, char_largest_value=255, int_largest_value=65535 x0=nan, x1=inf, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=inf, y1=inf, char_largest_value=255, int_largest_value=65535 x0=inf, x1=inf, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=nan, y1=inf, char_largest_value=255, int_largest_value=65535 x0=nan, x1=inf, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=816321624032245972992.000000, y1=155654289986452039720960524288.000000, char_largest_value=255, int_largest_value=65535 x0=816321624032245972992.000000, x1=155654289986452039720960524288.000000, y0=-inf, y1=-inf, char_largest_value=255, int_largest_value=65535 x0=-inf, x1=-inf, y0=-inf, y1=-inf, char_largest_value=255, int_largest_value=65535 x0=-inf, x1=-inf, y0=nan, y1=-inf, char_largest_value=255, int_largest_value=65535 x0=nan, x1=-inf, y0=-inf, y1=-inf, char_largest_value=255, int_largest_value=65535 x0=-inf, x1=-inf, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=nan, y1=-inf, char_largest_value=255, int_largest_value=65535 x0=nan, x1=-inf, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=-inf, y1=-inf, char_largest_value=255, int_largest_value=65535 x0=-inf, x1=-inf, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=nan, y1=-inf, char_largest_value=255, int_largest_value=65535 x0=nan, x1=-inf, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=-inf, y1=497364058110858999894382739456.000000, char_largest_value=255, int_largest_value=65535 x0=-inf, x1=497364058110858999894382739456.000000, y0=-inf, y1=-inf, char_largest_value=255, int_largest_value=65535 x0=-inf, x1=-inf, y0=-inf, y1=-inf, char_largest_value=255, int_largest_value=65535 x0=-inf, x1=-inf, y0=nan, y1=-inf, char_largest_value=255, int_largest_value=65535 x0=nan, x1=-inf, y0=-inf, y1=-inf, char_largest_value=255, int_largest_value=65535 x0=-inf, x1=-inf, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=nan, y1=-inf, char_largest_value=255, int_largest_value=65535 x0=nan, x1=-inf, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=-inf, y1=-inf, char_largest_value=255, int_largest_value=65535 x0=-inf, x1=-inf, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=nan, y1=-inf, char_largest_value=255, int_largest_value=65535 x0=nan, x1=-inf, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=481516920490361356288.000000, y1=197833998336.000000, char_largest_value=255, int_largest_value=65535 x0=481516920490361356288.000000, x1=197833998336.000000, y0=inf, y1=inf, char_largest_value=255, int_largest_value=65535 x0=inf, x1=inf, y0=inf, y1=inf, char_largest_value=255, int_largest_value=65535 x0=inf, x1=inf, y0=nan, y1=inf, char_largest_value=255, int_largest_value=65535 x0=nan, x1=inf, y0=inf, y1=inf, char_largest_value=255, int_largest_value=65535 x0=inf, x1=inf, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=nan, y1=inf, char_largest_value=255, int_largest_value=65535 x0=nan, x1=inf, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=inf, y1=inf, char_largest_value=255, int_largest_value=65535 x0=inf, x1=inf, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=nan, y1=inf, char_largest_value=255, int_largest_value=65535 x0=nan, x1=inf, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=inf, y1=280907363487202301492548599808.000000, char_largest_value=255, int_largest_value=65535 x0=inf, x1=280907363487202301492548599808.000000, y0=inf, y1=inf, char_largest_value=255, int_largest_value=65535 x0=inf, x1=inf, y0=inf, y1=inf, char_largest_value=255, int_largest_value=65535 x0=inf, x1=inf, y0=nan, y1=inf, char_largest_value=255, int_largest_value=65535 x0=nan, x1=inf, y0=inf, y1=inf, char_largest_value=255, int_largest_value=65535 x0=inf, x1=inf, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=nan, y1=inf, char_largest_value=255, int_largest_value=65535 x0=nan, x1=inf, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=inf, y1=inf, char_largest_value=255, int_largest_value=65535 x0=inf, x1=inf, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=nan, y1=inf, char_largest_value=255, int_largest_value=65535 x0=nan, x1=inf, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=146712225744569761792.000000, y1=155654289986452039720960524288.000000, char_largest_value=255, int_largest_value=65535 x0=146712225744569761792.000000, x1=155654289986452039720960524288.000000, y0=-inf, y1=-inf, char_largest_value=255, int_largest_value=65535 x0=-inf, x1=-inf, y0=-inf, y1=-inf, char_largest_value=255, int_largest_value=65535 x0=-inf, x1=-inf, y0=nan, y1=-inf, char_largest_value=255, int_largest_value=65535 x0=nan, x1=-inf, y0=-inf, y1=-inf, char_largest_value=255, int_largest_value=65535 x0=-inf, x1=-inf, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=nan, y1=-inf, char_largest_value=255, int_largest_value=65535 x0=nan, x1=-inf, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=-inf, y1=-inf, char_largest_value=255, int_largest_value=65535 x0=-inf, x1=-inf, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=nan, y1=-inf, char_largest_value=255, int_largest_value=65535 x0=nan, x1=-inf, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=-inf, y1=125253073500750261771588075520.000000, char_largest_value=255, int_largest_value=65535 x0=-inf, x1=125253073500750261771588075520.000000, y0=-inf, y1=-inf, char_largest_value=255, int_largest_value=65535 x0=-inf, x1=-inf, y0=-inf, y1=-inf, char_largest_value=255, int_largest_value=65535 x0=-inf, x1=-inf, y0=nan, y1=-inf, char_largest_value=255, int_largest_value=65535 x0=nan, x1=-inf, y0=-inf, y1=-inf, char_largest_value=255, int_largest_value=65535 x0=-inf, x1=-inf, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=nan, y1=-inf, char_largest_value=255, int_largest_value=65535 x0=nan, x1=-inf, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=-inf, y1=-inf, char_largest_value=255, int_largest_value=65535 x0=-inf, x1=-inf, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=nan, y1=-inf, char_largest_value=255, int_largest_value=65535 x0=nan, x1=-inf, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=256.000000, y1=165508202496.000000, char_largest_value=255, int_largest_value=65535 x0=256.000000, x1=165508202496.000000, y0=-inf, y1=-inf, char_largest_value=255, int_largest_value=65535 x0=-inf, x1=-inf, y0=-inf, y1=-inf, char_largest_value=255, int_largest_value=65535 x0=-inf, x1=-inf, y0=nan, y1=-inf, char_largest_value=255, int_largest_value=65535 x0=nan, x1=-inf, y0=-inf, y1=-inf, char_largest_value=255, int_largest_value=65535 x0=-inf, x1=-inf, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=nan, y1=-inf, char_largest_value=255, int_largest_value=65535 x0=nan, x1=-inf, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=-inf, y1=-inf, char_largest_value=255, int_largest_value=65535 x0=-inf, x1=-inf, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=nan, y1=-inf, char_largest_value=255, int_largest_value=65535 x0=nan, x1=-inf, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=-inf, y1=-30401235375167709427953303552.000000, char_largest_value=255, int_largest_value=65535 x0=-inf, x1=-30401235375167709427953303552.000000, y0=-inf, y1=-inf, char_largest_value=255, int_largest_value=65535 x0=-inf, x1=-inf, y0=-inf, y1=-inf, char_largest_value=255, int_largest_value=65535 x0=-inf, x1=-inf, y0=nan, y1=-inf, char_largest_value=255, int_largest_value=65535 x0=nan, x1=-inf, y0=-inf, y1=-inf, char_largest_value=255, int_largest_value=65535 x0=-inf, x1=-inf, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=nan, y1=-inf, char_largest_value=255, int_largest_value=65535 x0=nan, x1=-inf, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=-inf, y1=-inf, char_largest_value=255, int_largest_value=65535 x0=-inf, x1=-inf, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=nan, y1=-inf, char_largest_value=255, int_largest_value=65535 x0=nan, x1=-inf, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=146712164171918606336.000000, y1=-155654289986452039720960524288.000000, char_largest_value=255, int_largest_value=65535 x0=146712164171918606336.000000, x1=-155654289986452039720960524288.000000, y0=inf, y1=inf, char_largest_value=255, int_largest_value=65535 x0=inf, x1=inf, y0=inf, y1=inf, char_largest_value=255, int_largest_value=65535 x0=inf, x1=inf, y0=nan, y1=inf, char_largest_value=255, int_largest_value=65535 x0=nan, x1=inf, y0=inf, y1=inf, char_largest_value=255, int_largest_value=65535 x0=inf, x1=inf, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=nan, y1=inf, char_largest_value=255, int_largest_value=65535 x0=nan, x1=inf, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=inf, y1=inf, char_largest_value=255, int_largest_value=65535 x0=inf, x1=inf, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=nan, y1=inf, char_largest_value=255, int_largest_value=65535 x0=nan, x1=inf, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=inf, y1=-186055515916886783409623400448.000000, char_largest_value=255, int_largest_value=65535 x0=inf, x1=-186055515916886783409623400448.000000, y0=inf, y1=inf, char_largest_value=255, int_largest_value=65535 x0=inf, x1=inf, y0=inf, y1=inf, char_largest_value=255, int_largest_value=65535 x0=inf, x1=inf, y0=nan, y1=inf, char_largest_value=255, int_largest_value=65535 x0=nan, x1=inf, y0=inf, y1=inf, char_largest_value=255, int_largest_value=65535 x0=inf, x1=inf, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=nan, y1=inf, char_largest_value=255, int_largest_value=65535 x0=nan, x1=inf, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=inf, y1=inf, char_largest_value=255, int_largest_value=65535 x0=inf, x1=inf, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=nan, y1=inf, char_largest_value=255, int_largest_value=65535 x0=nan, x1=inf, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=-481516920490361356288.000000, y1=298690576384.000000, char_largest_value=255, int_largest_value=65535 x0=-481516920490361356288.000000, x1=298690576384.000000, y0=-inf, y1=-inf, char_largest_value=255, int_largest_value=65535 x0=-inf, x1=-inf, y0=-inf, y1=-inf, char_largest_value=255, int_largest_value=65535 x0=-inf, x1=-inf, y0=nan, y1=-inf, char_largest_value=255, int_largest_value=65535 x0=nan, x1=-inf, y0=-inf, y1=-inf, char_largest_value=255, int_largest_value=65535 x0=-inf, x1=-inf, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=nan, y1=-inf, char_largest_value=255, int_largest_value=65535 x0=nan, x1=-inf, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=-inf, y1=-inf, char_largest_value=255, int_largest_value=65535 x0=-inf, x1=-inf, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=nan, y1=-inf, char_largest_value=255, int_largest_value=65535 x0=nan, x1=-inf, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=-inf, y1=-592215924570640449455888793600.000000, char_largest_value=255, int_largest_value=65535 x0=-inf, x1=-592215924570640449455888793600.000000, y0=-inf, y1=-inf, char_largest_value=255, int_largest_value=65535 x0=-inf, x1=-inf, y0=-inf, y1=-inf, char_largest_value=255, int_largest_value=65535 x0=-inf, x1=-inf, y0=nan, y1=-inf, char_largest_value=255, int_largest_value=65535 x0=nan, x1=-inf, y0=-inf, y1=-inf, char_largest_value=255, int_largest_value=65535 x0=-inf, x1=-inf, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=nan, y1=-inf, char_largest_value=255, int_largest_value=65535 x0=nan, x1=-inf, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=-inf, y1=-inf, char_largest_value=255, int_largest_value=65535 x0=-inf, x1=-inf, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=nan, y1=-inf, char_largest_value=255, int_largest_value=65535 x0=nan, x1=-inf, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=-1109745987560455274496.000000, y1=-155654289986452039720960524288.000000, char_largest_value=255, int_largest_value=65535 x0=-1109745987560455274496.000000, x1=-155654289986452039720960524288.000000, y0=inf, y1=inf, char_largest_value=255, int_largest_value=65535 x0=inf, x1=inf, y0=inf, y1=inf, char_largest_value=255, int_largest_value=65535 x0=inf, x1=inf, y0=nan, y1=inf, char_largest_value=255, int_largest_value=65535 x0=nan, x1=inf, y0=inf, y1=inf, char_largest_value=255, int_largest_value=65535 x0=inf, x1=inf, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=nan, y1=inf, char_largest_value=255, int_largest_value=65535 x0=nan, x1=inf, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=inf, y1=inf, char_largest_value=255, int_largest_value=65535 x0=inf, x1=inf, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=nan, y1=inf, char_largest_value=255, int_largest_value=65535 x0=nan, x1=inf, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=inf, y1=-436561587360523581038476132352.000000, char_largest_value=255, int_largest_value=65535 x0=inf, x1=-436561587360523581038476132352.000000, y0=inf, y1=inf, char_largest_value=255, int_largest_value=65535 x0=inf, x1=inf, y0=inf, y1=inf, char_largest_value=255, int_largest_value=65535 x0=inf, x1=inf, y0=nan, y1=inf, char_largest_value=255, int_largest_value=65535 x0=nan, x1=inf, y0=inf, y1=inf, char_largest_value=255, int_largest_value=65535 x0=inf, x1=inf, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=nan, y1=inf, char_largest_value=255, int_largest_value=65535 x0=nan, x1=inf, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=inf, y1=inf, char_largest_value=255, int_largest_value=65535 x0=inf, x1=inf, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=nan, y1=inf, char_largest_value=255, int_largest_value=65535 x0=nan, x1=inf, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=nan, y1=nan, char_largest_value=255, int_largest_value=65535 x0=nan, x1=nan, y0=412.000000, y1=50.000000, char_largest_value=255, int_largest_value=65535 x0=100.000000, x1=50.000000, y0=412.000000, y1=50.000000, char_largest_value=255, int_largest_value=65535

Legend:

nan - not a number. This means the output was not a valid number, something like the square root of -1.

inf - infinity. Meaning the number is too large.

-inf - negative infinity. The number is very small.

What does these numbers really mean?

I’ll post again later. :)

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