Add 2006/monge/alt code + format/typo checks
The alt code allows one to reconfigure the dimensions and the number of iterations, based on the author's remarks (three #defines at the top of the file). Format/typo check README.md file. Update bugs.md about the entry. It not only requires rwx memory but also x86/x86_64 machines (this was already noted). This was said to be worth fixing if possible (though in some systems it's impossible) so I kept it that way. I was going to suggest alt version instead but since it seemed like a good idea to have an alt version I decided to make it so that it might be good if they update both versions.
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@@ -6,6 +6,9 @@ Make sure you have the SDL1 (not SDL2!) development environment installed.
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make
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```
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There is alternate code that lets you redefine the width and height and number
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of iterations to use. See [alternate code](#alternate-code) below.
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### Bugs and (Mis)features:
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@@ -42,6 +45,49 @@ That's not a bug, that's a feature.
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```
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## Alternate code:
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This alternate code lets you specify the width and height of the image as well
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as the number of iterations to perform.
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### Alternate build:
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To use the default values, the same as [monge.c](monge.c), just do:
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```sh
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make alt
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```
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But if you wish to actually make use of it you will want to redefine one or more
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of the variables `W`, `H` and `I`. The defaults are (respectively) 400, 300 and
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\128. If you wish to change the image size to 500x500 but keep the iterations
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the same then do:
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```sh
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make clobber CDEFINE="-DW=500 -DH=500" alt
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```
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If you wish to keep the dimensions the same but change the iterations to 512:
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```sh
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make clobber CDEFINE="-DI=512" alt
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```
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If you specify a value less than 1 for any of these it sets it back to the
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default. The value 1 was selected arbitrarily and such a small number as 1 will
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not do anything useful but as long as it's at least 1 it'll not be redefined.
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Does not try taking care of overflows but such large values would be impractical
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anyway.
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### Alternate use:
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Use `monge.alt` exactly as you would `monge` above.
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## Judges' remarks:
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For those who are familiar with the previous [IOCCC winners](/winners.html),
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@@ -81,6 +127,7 @@ needed.
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4. Enjoy, unless you're more interested in trying to understand how it works. :)
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### Introduction
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This is a fractal generator that supports custom formulas and real time zoom.
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@@ -103,68 +150,81 @@ as you like (as understood by the C function `isspace()`).
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Supported operations and functions are:
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```
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Operation | Description
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:-------- | :----------
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`+,-,*,/` | Arithmetic operations, priority of `*`,`/` over `+,-` is
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respected.
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+,-,*,/ | Arithmetic operations, priority of * , / over +,- is
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| respected.
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|
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`<,>` | Compares the real parts of two complex numbers (the imaginary part
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<,> | Compares the real parts of two complex numbers (the imaginary part
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| is ignored). Any number of conditions is allowed, the iteration
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| will just stop as soon as one of them fails.
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`Abs2` | Calculates the squared norm, i.e.: `Abs2(a+b*i)` is `(a*a+b*b)+0*i`.
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`Re` | Extract the real part, i.e.: `Re(a+b*i)` is `a+0*i`.
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`Im` | Extract the imaginary part, i.e.: `Im(a+b*i) is b+0*i`.
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`Exp` | Calculates the complex exponential, i.e. `Exp(a+b*i)` is
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| `e^a*(cos(b)+sin(b)*i)`
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`Ln` | Calculates the principal value of the natural logarithm, i.e.
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`Ln(a+b*i)` is `ln(a*a+b*b)/2` + `atan(b/a)*i`
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Abs2 | Calculates the squared norm, i.e.: Abs2(a+b*i) is (a*a+b*b)+0*i.
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Re | Extract the real part, i.e.: Re(a+b*i) is a+0*i.
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Im | Extract the imaginary part, i.e.: Im(a+b*i) is b+0*i.
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Exp | Calculates the complex exponential, i.e. Exp(a+b*i) is
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| e^a*(cos(b)+sin(b)*i).
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Ln | Calculates the principal value of the natural logarithm, i.e.
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Ln(a+b*i) is ln(a*a+b*b)/2 + atan(b/a)*i.
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```
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Here are a few examples of fractals you can draw:
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- Mandelbrot:
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./monge "z=1" "z=z*z+c; Abs2(z)<4"
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```sh
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./monge "z=1" "z=z*z+c; Abs2(z)<4"
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```
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- Mandelbrot (return time variation):
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./monge "z=c" "z=z*z+c; Abs2(z-c)>0.0001"
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```sh
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./monge "z=c" "z=z*z+c; Abs2(z-c)>0.0001"
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```
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- Julia, for `c=0.31+i*0.5`:
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./monge "z=c; c=0.31+i*0.5" "z=z*z+c; Abs2(z)<4"
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```sh
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./monge "z=c; c=0.31+i*0.5" "z=z*z+c; Abs2(z)<4"
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```
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- Julia (return time variation), `for c=0.31+i*0.5`:
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./monge "z=c; c=0.31+i*0.5" "z=z*z+c; Abs2(z-c)>0.0001"
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```sh
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./monge "z=c; c=0.31+i*0.5" "z=z*z+c; Abs2(z-c)>0.0001"
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```
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- Newton, for `x^3-1`:
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./monge "z=c" "p=z; z=0.6666*z+0.3333/(z*z); Abs2(p-z) > 0.001"
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```sh
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./monge "z=c" "p=z; z=0.6666*z+0.3333/(z*z); Abs2(p-z) > 0.001"
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```
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- Newton-Mandelbrot:
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```
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```sh
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./monge "z=0" "p=z; z=z-(z*z*z + (c-1)*z - c)/(3*z*z+c-1); Abs2(p-z) > 0.001"
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```
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- Phoenix, Mandelbrot version:
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```
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```sh
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./monge "z=0; q=0" "t=z; z=z*z+Re(c)+Im(c)*q; q=t; Abs2(z)<4"
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```
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- Phoenix, Julia version for `c=0.56667-i*0.5`:
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```
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```sh
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./monge "z=c; c=0.56667-i*0.5; q=0" "t=z; z=z*z+Re(c)+Im(c)*q; q=t; Abs2(z)<4"
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```
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### Compilation and portability
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This program will only work on x86 (with an x87 FPU) or x86_64 machines,
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but it requires the SDL library.
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Another system requirement is the `mmap()` function (as `#define`d at the
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Another system requirement is the `mmap(2)` function (as `#define`d at the
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beginning of the program). If it is not available the macro `M(a)` will have to
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be replaced with a system dependent function that allocates readable, writable
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*AND* executable memory (it will not be possible to make this program run on
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@@ -186,17 +246,18 @@ changing the definitions of `W`, `H` and `I` at the beginning of the code.
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- Many SDL identifiers are hardcoded as number, this is safe up to ABI
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incompatibility.
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- Better optimization could be done treating known real numbers as just one
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double, instead of adding a 0 imaginary part to treat them as complex
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`double`, instead of adding a 0 imaginary part to treat them as complex
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numbers.
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- There should be some way to switch from Mandelbrot to Julia with chosen
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parameter.
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### Spoiler
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Sure, I don't want to deprive you of the pleasure of digging
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into the infernal mess created by my corrupted mind (writing
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this remark I noticed that I was ending sentences with ';' instead
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that with '.', and I worried for my sanity), but just in case...
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of with '.', and I worried for my sanity), but just in case...
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I used many obfuscation techniques, including a few ones that
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are different from the tricks used in most common IOCCC program
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