Blog > Free PHP Math Captcha: Part 2

Posted on Saturday, 13th December, 2008 at 11:22am

Check out part one of this article, where I show you how you can create the function in this article that we use to create a captcha image.

Now that we have a basic function which we use to generate a captcha question and answer, we're now going to spin a bit of PHP magic, and turn the question into an image so it's harder for bots and computers to parse the text and calculate the answer themselves.

To get this working, you need to create two files. The first one is going to contain the code which will generate your image. Make sure you give this file a good, easy to remember name, because whenever you want to use a captcha in your website, you're going to need to use that file name as the path to your captcha image.

As well as the code file, you also need to have a font file which is used for the text inside the image. Make sure that this file is in the same directory as the code file, or else the default code will not work properly. There must be a font present for this code to work.

Now let's look at the code which will be in the code file. Look at the class below to see how it works! Each line is commented, so it should help you to see exactly what happens behind the scenes! If you don't understand this code, no fret, just skip past, and an example and download is waiting for you ever so patiently. =]

<?php

// Start the session so we can use it to store out captcha result.
session_start();

// Set some headers so that the image never gets cached by the browser.
header('Cache-Control: no-cache');
header('Pragma: no-cache');

class captcha
{
function captcha_generate()
{
// First of all we are going to set up an array with the text equivalents of all the numbers we will be using.
$captcha_number_convert = array(0=>'zero', 1=>'one', 2=>'two', 3=>'three', 4=>'four', 5=>'five', 6=>'six', 7=>'seven', 8=>'eight', 9=>'nine', 10=>'ten');
// Choose the first number randomly between 6 and 10. This is to stop the answer being negative.
$captcha_number_first = mt_rand(6, 10);
// Choose the second number randomly between 0 and 5.
$captcha_number_second = mt_rand(0, 5);
// Set up an array with the operators that we want to use. At this stage it is only subtraction and addition.
$captcha_operator_convert = array(0=>'+', 1=>'-');
// Choose the operator randomly from the array.
$captcha_operator = $captcha_operator_convert[mt_rand(0, 1)];
// Get the equation in textual form to show to the user.
$captcha_return = (mt_rand(0, 1) == 1 ? $captcha_number_convert[$captcha_number_first] : $captcha_number_first) . ' ' . $captcha_operator . ' ' . (mt_rand(0, 1) == 1 ? $captcha_number_convert[$captcha_number_second] : $captcha_number_second);
// Evaluate the equation and get the result.
eval('$captcha_result = ' . $captcha_number_first . ' ' . $captcha_operator . ' ' . $captcha_number_second . ';');
// Store the result in a session key.
$_SESSION['main_captcha'] = $captcha_result;
// Return the question so we can use it in our image.
return $captcha_return;
}

function captcha()
{
// First off, we start by generating our math problem using the code we created in part one. This also does all the work of storing it in the session.
$captcha_code = $this->captcha_generate();

// Here are some user defined variables that you can set.
// This is the size of the font in points.
$captcha_font_size = 32;
// The dimensions of the image. Pretty simple, really! =]
$captcha_width = 480;
$captcha_height = 40;
// The possible angle of the characters in the word. If you do not want any rotation on the letters change it to 0, however 20 looks best in my opinion.
$captcha_angle = 20;

// Create an image object using the dimensions you entered above.
$captcha_image = imagecreate(480, 40);

// This is where we set the colours for each part of the captcha. The values are random so that bots cannot look at the same colour and develop a reading technique.
// This is the background colour, which always white.
$captcha_background_color = imagecolorallocate($captcha_image, 255, 255, 255);
// This is the text colour, which has random R, G and B values between 50 and 150.
$captcha_text_color = imagecolorallocate($captcha_image, mt_rand(50, 150), mt_rand(50, 150), mt_rand(50, 150));
// And finally, this is the colour of the background noise, which is once again random between 150 and 200 for R, G and B values.
$captcha_noise_color = imagecolorallocate($captcha_image, mt_rand(150, 200), mt_rand(150, 200), mt_rand(150, 200));

// This is a loop in which we add a whole bunch of random dots into the background. This is to generate the noise which makes it hard for bots to read.
for($i = 0; $i < 1600; $i++)
{
imagefilledellipse($captcha_image, mt_rand(0, $captcha_width), mt_rand(0, $captcha_height), 1, 1, $captcha_noise_color);
}

// And this is a look which adds a bunch of random lines in the background, which once again makes it hard for bots to try and read the captcha.
for($i = 0; $i < 32; $i++)
{
imageline($captcha_image, mt_rand(0, $captcha_height), mt_rand(0, $captcha_width), mt_rand(0, $captcha_height), mt_rand(0, $captcha_width), $captcha_noise_color);
}

// Okay, now for the part where we print the text onto the image.
// First, we make an array which contains each seperate chracter of the math problem.
$captcha_code_array = str_split($captcha_code);
// Now we calculate the dimensions of the captcha code in the right font size so we know where to position it on the canvas.
$captcha_textbox = imagettfbbox($captcha_font_size, 0, 'main_captcha_font.ttf', $captcha_code);
// Using those dimensions, we calculate the co-ordinates of the top left point of where we want to place our text, and we work from there.
// This is the x co-ordinate...
$captcha_x = ($captcha_width - $captcha_textbox[4]) / 2;
// ...And this is the y co-ordinate.
$captcha_y = ($captcha_height - $captcha_textbox[5]) / 2;

// Now for another loop. This time, this look prints each character one at a time onto the canvas.
for($i = 0; $i < count($captcha_code_array); $i++)
{
// We calculate the position of the character on the canvas, relative to the top left co-ordinate of the text box that we calculated before.
$captcha_item = (($captcha_x / strlen($captcha_code)) * $i) + ($captcha_width / 3);
// And now we draw it onto the canvas, with a random rotation between that which is specified at the top of this class.
imagettftext($captcha_image, $captcha_font_size, mt_rand(-$captcha_angle, $captcha_angle), $captcha_item, $captcha_y, $captcha_text_color, 'main_captcha_font.ttf', $captcha_code_array[$i]);
}

// Alright now that is all done, this is where we decide what type of image we want to output. The default in this script is PNG, but just swap the word png with gif or jpeg wherever it occurs in the next two lines of code.
// This is the header with the content type.
header('Content-Type: image/png');
// And this is the function that tells PHP to output out created image.
imagepng($captcha_image);

// Whatever the case, we want to destroy this image from the memory, or else PHP will hang onto it and start to eat up RAM.
imagedestroy($captcha_image);
}
}

// Make a new captcha, and output it onto the page.
$captcha = new captcha();

?>

Once you have both files on your web server, you simply use the location of the main code file as the location of your captcha image. For example, assuming the file is in a folder called 'captcha', which is in your root directory, you simply would use the following image tag.

<img src="captcha/main_captcha.php" alt="" />

If you've done it correctly, using the image tag should result in something looking quite similar to this:



Now that you're all setup, while checking the form compare the value entered to the value that was stored in the session with something similar to the following code:

<?php
if($_POST['contact_message_captcha'] == $_SESSION['main_captcha'])
{
// Put your code to process the form in here if the captcha was entered correctly.
}
else
{
// Put your code to process the form in here if the captcha was entered incorrectly.
}
?>

There you have it! A simple mathematical captcha, free to use in any projects you see fit!

Want to see an example of the mathematical captcha image in action? Check below to see a working example in the comment form, or download the script below to see the inner workings! The download includes a sample font which will be used in the captcha image.

Download PHP Math Captcha (17kB)

Check out part one of this article, where I show you how you can create the function in this article that we use to create a captcha image.

Check out my awesome permalink, or hold us and please us with a trackback!

Comments

Barry McMillen posted on Saturday, 13th December, 2008 at 12:57pm

wow, your freakin awsome.

Another question though, my form script is processed by the same file. I did this to make it easier to update and to install for people who download it from me.

Will still work correctly if all the code is in the same file and i call the captcha image with the contact form file name? form filename is contact.php

and will making the captcha_width and height smaller make the whole thing smaller? I need it to fit in a smaller area.

Thanks for helpin me with this, and i hope im not bugging you.

Barry

Oh, PS one more thing, will it work correctly if I make the answer textbox a dropdown with values 1-10? thought it might be cool to choose the answer from a dropdown

Nathan Kleyn posted on Saturday, 13th December, 2008 at 1:56pm

Hi Barry!

You can indeed put the code in the one file, but you need to do it in a very exact way, or the file will not work. Try the following code in your file:

if(array_key_exists('mode', $_GET) && $_GET['mode'] == 'captcha')
{
all the captcha code here.
}
else
{
all your code in the file here.
}

Then, make the location of the captcha image in the image tag:

contact.php?mode=captcha

Change contact.php to the location of your contact file.

Changing the width and height in the file will indeed change the whole image, but make sure you decrease the font size as well, as it might be too big if you fiddle with the other values. Everything else is automatically calculated.

And no problems with the drop down! Just make sure that the value of the drop down can only be 1 through to 10 and you're set!

Hope that helps! If you're still stuck, post back here and I'll see if I can help some more!

Barry McMillen posted on Saturday, 13th December, 2008 at 2:41pm

hmm, maybe ill just keep the captcha code in a file by itself, might be to hard for to to make it all in one.

If i keep it by itself, would I be able to host the captcha code in a file on my website, while other people are using the form on their website? would the captcha still work? I dont know if you can include files on a different website, do you know?

I made a font for you, well and me too, for use in the math captcha with image, it only includes numbers 0-9 and + and -

to save bandwidth, its only 11kb and it looks cool, email me and ill email back to ya if you want to use it.

Also, if i host the font on my website, and call it in your script with the url for the font, will it still show up when others upload my contact form on their website?

thx,
Barry

P.S. I think the captca is messed up on this blog, you have to enter the answer multiple times before it submits, even if you get the right answer.

Barry McMillen posted on Saturday, 13th December, 2008 at 2:55pm

is there any way you would be able to use this same script btu modify it to look and act like opencaptcha?

I like theres, but i wanted to be able to have my own font.

if not thats ok

thx

Barry McMillen posted on Saturday, 13th December, 2008 at 6:40pm

im a tard and forgot that your math captcha spells out the numbers too, doh.

so im gonna remake the font and only include the letters for all the numbers.

also, I have a php function I use to generate random passwords for password resets and auto password generations for user signups. Im going to to swap out the code that generates the math question with the password generator code.

I hope you dont mind. Im still going to use the math captcha in my contact forms, just going to have a code captcha version too. right now my forms have opencaptcha, and your math captcha.

no offense to the guy who runs opencaptcha, hes great, helped me out with problems i was having. i just want a third party-less contact form.

I will post it here too if you want

Also, am i buggin you? jk, If you know anyone who needs there contact forms fixed or converted to the form script on my contact form, I can fix or integrate for donations.
Barry

Barry McMillen posted on Sunday, 14th December, 2008 at 6:28pm

ok, im having trouble getting it to work. well it kinda works, it shows the math captcha image, but doesnt validate.

I tried what you said to make it all in one script, it worked, but didnt validate.

so I tried having the captcha by itself, and it does the same thing.

is there anyway you can go on my website and download my contact form, the math version, and tell me where it put everything to work inthe same file. pleeeease? because i am not putting something in the right spot but i dont know what. the math version on my website has the original code you posted without the image.

thx, i really appreciate it.

Barry

Ted posted on Saturday, 27th December, 2008 at 9:56am

I get this error:

Fatal error: Call to undefined function: str_split() in /home/acroplex/public_html/main_captcha.php on line 76

$captcha_code_array = str_split($captcha_code);

Any ideas?

Nathan Kleyn posted on Sunday, 28th December, 2008 at 10:13pm

@ Barry

Definitely will download your captcha, and quickly wire it up for you! I'll email it to the address you used to make the comments on this blog, but let me know if you want it sent somewhere else.

@ Ted

Unfortunately, str_split() is only available in PHP version 5 and up, but you can easily write your own function which will have the same effect. Put the code below at the top of your file:

<?php
if(!function_exists('str_split'))
{
function str_split($string, $split_length = 1)
{
if(strlen($string) > $split_length || !$split_length)
{
do
{
$c = strlen($string);
$parts[] = substr($string, 0, $split_length);
$string = substr($string, $split_length);
}
while($string !== false);
}
else
{
$parts = array($string);
}
return $parts;
}
}
?>

And that should do the trick! Let me know though if you need some more help. =]

Nathan Kleyn posted on Sunday, 28th December, 2008 at 10:39pm

@ Barry

Hi there Barry! Just downloaded your captcha, and it appears to be working absolutely perfectly now! Brilliant work!

Let me know if you need any help with the code in the future!

Barry McMillen posted on Monday, 12th January, 2009 at 6:15pm

When I posted the comments about not being able to get it to work I was having trouble. Then I figured out that I kept doing the same thing wrong with the session_start :).

I added a new feature to your math captcha that makes the session ID a random 128 digit key each load. I don't know if 128 is overkill, but I thought it was ok :).

I thank you for putting this tutorial up, I have a link to your website on my new website at http://www.owtphpform.co.cc so people know where I got the math captcha script from, if thats ok, if not I can remove it.

I was also wondering, I like using OpenCaptcha, but I was wanting to include my own OpenCaptcha style captcha in my contact form (I will still have 2 versions, one with math and the other with a code captcha.) I was trying to use the same function that I use to make the random session ID by replacing the part that generates the math question, but it doesnt make a code display. I know you have helped me out enough already, but is there anyway you could help me one more time?

I was wanting to use your code for both captchas, so I could have one release instead of two and just have a toggle variable in the config as to which captcha was being used.

I think I typed enough for now :) so thanks,
Barry

krushna posted on Tuesday, 10th February, 2009 at 6:25pm

hi.. nice tutorials for captcha. thanks a lot.

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