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Dennis Meckel Rayne

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Rayne / readme.md
Created August 13, 2018 12:33 — forked from xem/readme.md
Maths & trigonometry cheat sheet for 2D & 3D games

Conventions

  • A = [xA, yA] is a point on the 2D plane. Same for B, C, ...
  • lengths are in any unit (ex: pixels)
  • code snippets are in JavaScript

Degrees to radians

angleRad = angleDeg * Math.PI / 180;

<?php
define('BOT_TOKEN', 'XXXXXXXX:XXXXXXXXXXXXXXXXXXXXXXXX'); // place bot token of your bot here
function checkTelegramAuthorization($auth_data) {
$check_hash = $auth_data['hash'];
unset($auth_data['hash']);
$data_check_arr = [];
foreach ($auth_data as $key => $value) {
$data_check_arr[] = $key . '=' . $value;