Authentication failed: " . $auth->getMessage() . "
Debug: " . $yubi->getLastResponse() . "
"); } else { print "You are authenticated!
"; } break; case 'GeoPointPolarZ': require_once('includes/geo/pointPolarZ.php'); echo "| Name | Type | Cartesian coords | Spherical I | Spherical II | Pencil coordinates | ||
|---|---|---|---|---|---|---|---|
| $row[0] | $row[1] | $row[2] | "; $pt = $row[2]; - echo '(', implode(', ', $pt->to_spherical()), ') | '; - echo '(', implode(', ', $pt->to_spherical2()), ') | '; + echo '(', implode(', ', $pt->toSpherical()), ') | '; + echo '(', implode(', ', $pt->toSphericalAlternative()), ') | '; $pt->translate(500, 300, 200, 2); echo '', $pt, ' | '; echo '
* $point = new GeoPoint3D(17, 24, -6);
* foreach ($point as $axis => $coordinate) {
* echo "\n\t$axis = $coordinate";
* }
* //This will output:
* // x = 17
* // y = 24
* // z = -6
*
*
* The point 3D representation is xyz: [x, y, z] ; you can print it as a string
* and get this format:
*
*
* $point = new GeoPoint3D(17, 24, -6);
* echo (string)$point; //will output xyz: [17, 24, -6]
*
*
*/
class GeoPoint3D implements IteratorAggregate {
//
// x, y, z public properties
//
/**
* the x coordinate
*
* @var integer
*/
public $x;
/**
* the y coordinate
*
* @var integer
*/
public $y;
/**
* the z coordinate
*
* @var integer
*/
public $z;
//
// constructor / toString
//
/**
* Initializes a new instance of GeoPoint3D class
*
* @param int $x the x coordinate
* @param int $y the y coordinate
* @param int $z the z coordinate
*/
function __construct ($x, $y, $z) {
$this->x = (int)$x;
$this->y = (int)$y;
$this->z = (int)$z;
}
/**
* Parses a string expression ang gets a GeoPoint3D object
*
* Formats recognized are:
* - xyz: [x, y, z]
* - (x, y, z)
*
* @param string $expression the expression to parse
* @return GeoPoint3D If the specified expression could be parsed, a GeoPoint3D instance ; otherwise, null.
*/
static function fromString ($expression) {
if (string_starts_with($expression, 'xyz:', false)) {
$pos1 = strpos($expression, '[', 4) + 1;
$pos2 = strpos($expression, ']', $pos1);
if ($pos1 > -1 && $pos2 > -1) {
$expression = substr($expression, $pos1, $pos2 - $pos1);
$xyz = explode(',', $expression, 3);
return new GeoPoint3D($xyz[0], $xyz[1], $xyz[2]);
}
} elseif ($expression[0] = '(') {
$expression = substr($expression, 1, -1);
$xyz = explode(',', $expression, 3);
return new GeoPoint3D($xyz[0], $xyz[1], $xyz[2]);
}
return null;
}
/**
* Returns a string representation of the point coordinates.
*
* @param $format the format to use
* @return string a string representation of the coordinates
*
* To print a "xyz: [10, 20, 40]" string:
* $point = new GeoPoint3D(10, 20, 40);
* echo $point->sprintf("xyz: [%d, %d, %d]");
*
* //Of course, you could have (implicitely) use the __toString method:
* echo $point;
*
* To print a (10, 20, 40) string:
* $point = new GeoPoint3D(10, 20, 40);
* echo $point->sprintf("(%d, %d, %d)");
*/
function sprintf ($format) {
return sprintf($format, $this->x, $this->y, $this->z);
}
/**
* Returns a xyz: [x, y, z] string representation of the point coordinates.
*
* @return string a xyz: [x, y, z] string representation of the coordinates
*/
function __toString () {
return $this->sprintf("xyz: [%d, %d, %d]");
}
/**
* Determines if this point is equal to the specified point.
*
* @param GeoPoint3D $point The point to compare
* @return bool true if the two points are equal ; otherwise, false.
*/
function equals ($point) {
return ($this->x == $point->x) && ($this->y == $point->y) && ($this->z == $point->z);
}
//
// Math
//
/**
* Gets the (ρ, φ, θ) spherical coordinates from the current x, y, z cartesian point
*
* The algo used is from http://fr.wikipedia.org/wiki/Coordonn%C3%A9es_sph%C3%A9riques#Relation_avec_les_autres_syst.C3.A8mes_de_coordonn.C3.A9es_usuels
*
* @return array an array of 3 floats number, representing the (ρ, φ, θ) spherical coordinates
*/
- function to_spherical () {
- return GeoGalaxy::cartesian_to_spherical($this->x, $this->y, $this->z);
+ function toSpherical () {
+ return GeoGalaxy::cartesianToSpherical($this->x, $this->y, $this->z);
}
/**
* Gets the (ρ, φ, θ) spherical coordinates from the current x, y, z cartesian point
*
* The algo used is from http://www.phy225.dept.shef.ac.uk/mediawiki/index.php/Cartesian_to_polar_conversion
*
* @return array an array of 3 floats number, representing the (ρ, φ, θ) spherical coordinates
*/
- function to_spherical2 () {
- return GeoGalaxy::cartesian_to_spherical2($this->x, $this->y, $this->z);
+ function toSphericalAlternative () {
+ return GeoGalaxy::cartesianToSphericalAlternative($this->x, $this->y, $this->z);
}
/**
* Translates the center and rescales.
*
* This method allow to help to represent coordinate in a new system
*
* This method is used to represent Zed objects in dojo with the following
* parameters:
*
* $pointKaos = GeoPoint3D(800, 42, 220);
* $pointKaos->translate(500, 300, 200, 2);
* echo $pointKaos;
* //This will output xyz: [150, -129, 10]
*
*
* @param int $dx the difference between the old x and new x (ie the value of x = 0 in the new system)
* @param int $dy the difference between the old y and new y (ie the value of y = 0 in the new system)
* @param int $dz the difference between the old y and new z (ie the value of z = 0 in the new system)
* @param float $scale if specified, divides each coordinate by this value (optional)
*/
function translate ($dx, $dy, $dz, $scale = 1) {
if ($scale == 1) {
$this->x += $dx;
$this->y += $dy;
$this->z += $dz;
} elseif ($scale == 0) {
$this->x = 0;
$this->y = 0;
$this->z = 0;
} else {
$this->x = $this->x * $scale + $dx;
$this->y = $this->y * $scale + $dy;
$this->z = $this->z * $scale + $dz;
}
}
//
// Implementing IteratorAggregate
//
/**
* Retrieves class iterator. It traverses x, y and z.
*
* @return Traversable the iterator
*/
function getIterator () {
return new ArrayIterator($this);
}
}
diff --git a/includes/geo/pointPolarZ.php b/includes/geo/pointPolarZ.php
index a7c482a..49e965f 100755
--- a/includes/geo/pointPolarZ.php
+++ b/includes/geo/pointPolarZ.php
@@ -1,374 +1,374 @@
* @copyright 2010 Sébastien Santoro aka Dereckson
* @license http://www.opensource.org/licenses/bsd-license.php BSD
* @version 0.1
* @link http://scherzo.dereckson.be/doc/zed
* @link http://zed.dereckson.be/
* @filesource
*/
require_once("point3D.php");
/**
* Geo point polar+z class.
*
* This class represents a r, ρ, z point.
*
* They are useful to express coordinates in a cylinder shape, like a tower
* where it make senses to use polar coordinates instead x, y but where the
* height is not relative to a center, like it would be in a sphere.
*
* It implements IteratorAggregate to allow the foreach instruction
* on a GeoPointPolarZ object:
*
*
* $point = new GeoPointPolarZ(17, '24°', -6);
* foreach ($point as $axis => $coordinate) {
* echo "\n\t$axis = $coordinate";
* }
* //This will output:
* // r = 17
* // t = 24°
* // z = -6
*
*
* The point 3D representation is rtz: [ρ, θ, z] ; you can print it as a string
* and get this format:
*
*
* $point = new GeoPointPolarZ(17, '24°', -6);
* echo (string)$point; //will output rρz: [17, 24°, -6]
*
*
*/
class GeoPointPolarZ implements IteratorAggregate {
//
// ρ, θ, z public properties
//
/**
* the ρ coordinate
*
* @var float
*/
public $r;
/**
* the θ coordinate
*
* This coordinate could be expressed as:
* - a string with a float, appended by "°" or " °" (in degree)
* - as a float (in radian)
*
* @var mixed
*/
public $t;
/**
* the z coordinate
*
* @var float
*/
public $z;
//
// constructor / toString
//
/**
* Initializes a new instance of GeoPointPolarZ class
*
* @param float $r the ρ coordinate
* @param mixed $t the θ coordinate, in ° (string) or radian (float)
* @param float $z the z coordinate
*/
function __construct ($r, $t, $z) {
$this->r = (float)$r;
$this->t = trim($t);
$this->z = (float)$z;
}
/**
* Parses a string expression ang gets a GeoPointPolarZ object
*
* Formats recognized are:
* - rtz: [ρ, θ, z]
* - (ρ, θ, z)
*
* @param string $expression the expression to parse
* @return GeoPointPolarZ If the specified expression could be parsed, a GeoPointPolarZ instance ; otherwise, null.
*/
static function fromString ($expression) {
if (string_starts_with($expression, 'rtz:', false)) {
$pos1 = strpos($expression, '[', 4) + 1;
$pos2 = strpos($expression, ']', $pos1);
if ($pos1 > -1 && $pos2 > -1) {
$expression = substr($expression, $pos1, $pos2 - $pos1);
$rtz = explode(',', $expression, 3);
return new GeoPointPolarZ($rtz[0], $rtz[1], $rtz[2]);
}
} elseif ($expression[0] = '(') {
$expression = substr($expression, 1, -1);
$rtz = explode(',', $expression, 3);
return new GeoPointPolarZ($rtz[0], $rtz[1], $rtz[2]);
}
return null;
}
/**
* Returns a string representation of the point coordinates.
*
* @param $format the format to use
* @return string a string representation of the coordinates
*
* To print a "rtz: [10, 20°, 40]" string:
* $point = new GeoPointPolarZ(10, '20°', 40);
* echo $point->sprintf("rtz: [%d, %s, %d]");
*
* //Of course, you could have (implicitely) use the __toString method:
* echo $point;
*
* To print a (10, 20°, 40) string:
* $point = new GeoPointPolarZ(10, 20°, 40);
* echo $point->sprintf("(%d, %s, %d)");
*/
function sprintf ($format) {
return sprintf($format, $this->r, self::get_degrees($this->t), $this->z);
}
/**
* Returns a rρz: [r, ρ, z] string representation of the point coordinates.
*
* @return string a rtz: [ρ, θ, z] string representation of the coordinates
*/
function __toString () {
return $this->sprintf("rtz: [%d, %s, %d]");
}
/**
* Determines if this point is equal to the specified point.
*
* @param GeoPointPolarZ $point The point to compare
* @return bool true if the two points are equal ; otherwise, false.
*/
function equals ($point) {
return ($this->r == $point->r) && self::angle_equals($this->t, $point->t) && ($this->z == $point->z);
}
/**
* Detemrines if two angles are equal
* @param mixed $angle1 the first angle value, ie a float (angle in radian) or a string formed by an integed appended by ° (degrees)
* @param mixed $angle2 the second angle value, a float (angle in radian) or a string formed by an integed appended by ° (degrees)
* @return bool true if the angles are equal ; otherwise, false.
*/
static function angle_equals ($angle1, $angle2) {
if ($angle1 === $angle2) return true;
if (!is_numerical($angle1)) {
$angle1 = deg2rad((float)$angle1);
}
if (!is_numerical($angle2)) {
$angle2 = deg2rad((float)$angle2);
}
$angle1 = self::normalizeAngle($angle1);
$angle2 = self::normalizeAngle($angle2);
return ($angle1 == $angle2);
}
/**
* Normalizes an angle (in radians) in the interval [0, π[ (or a custom interval)
*
* @param float $angle the angle (in radians)
* @param float $min the radians value the angle must be greater or equal than [optional, default value: 0]
* @param float $max the radains value the angle must be stricly lesser than [optional, default value: M_PI]
* @param float $interval the increment interval [optional, default value: 360]
*/
static function normalizeAngle ($angle, $min = 0, $max = M_PI, $interval = M_PI) {
while ($angle < $min) {
$angle += $interval;
}
while ($angle >= $max) {
$angle -= $interval;
}
return $angle;
}
/**
* Normalizes an angle (in degrees) in the interval [0, 360[ (or a custom interval)
*
* @param float $angle the angle to normalize, in degrees
* @param float $min the degrees value the angle must be greater or equal than [optional, default value: 0]
* @param float $max the degrees value the angle must be stricly lesser than [optional, default value: 360]
* @param float $interval the increment interval [optional, default value: 360]
*/
static function normalizeAngleInDegrees ($angle, $min = 0, $max = 360, $interval = 360) {
while ($angle < $min) {
$angle += $interval;
}
while ($angle >= $max) {
$angle -= $interval;
}
return $angle;
}
/**
* Gets the specified angle in radians
*
* @param mixed $angle the angle, a float in radians or a string (a float + "°" or " °" in degrees
* @return float the angle in radians
*/
static function get_radians ($angle) {
return is_numeric($angle) ? $angle : deg2rad((float)$angle);
}
/**
* Gets the specified angle in degrees
*
* @param mixed $angle the angle, a float in radians or a string (a float + "°" or " °" in degrees
* @return string the angle (float) in degrees followed by "°"
*/
static function get_degrees ($angle) {
return is_numeric($angle) ? rad2deg((float)$angle) . '°' : $angle;
}
/**
* Converts a polar coordinate angle to a 0-360° CW angle
*/
static function get_natural_degrees ($angle) {
return self::normalizeAngleinDegrees(90 - self::get_degrees($angle));
}
//
// Math
//
/**
* Gets the (x, y, z) cartesian coordinates from the current ρ, θ, z polar+z point
*
* @return array an array of 3 floats number, representing the (x, y, z) cartesian coordinates
*/
- function to_cartesian () {
+ function toCartesian () {
$x = $this->r * cos(self::get_radians($this->t));
$y = $this->r * sin(self::get_radians($this->t));
return array($x, $y, $this->z);
}
/**
* Converts the current GeoPointPolarZ instance to a GeoPoint3D instance
*
* @return GeoPoint3D an instance of the GeoPoint3D class representing the (x, y, z) cartesian coordinates
*/
function to_Point3D () {
- $pt = $this->to_cartesian();
+ $pt = $this->toCartesian();
return new GeoPoint3D($pt[0], $pt[1], $pt[2]);
}
/**
* Gets the (ρ, φ, θ) spherical coordinates from the current (ρ, θ, z) polar+z point
*
* The algo used is from http://fr.wikipedia.org/wiki/Coordonn%C3%A9es_sph%C3%A9riques#Relation_avec_les_autres_syst.C3.A8mes_de_coordonn.C3.A9es_usuels
*
* @return array an array of 3 floats number, representing the (ρ, φ, θ) spherical coordinates
*/
- function to_spherical () {
- $pt = $this->to_cartesian();
- return GeoGalaxy::cartesian_to_spherical($pt[0], $pt[1], $pt[2]);
+ function toSpherical () {
+ $pt = $this->toCartesian();
+ return GeoGalaxy::cartesianToSpherical($pt[0], $pt[1], $pt[2]);
}
/**
* Gets the (ρ, φ, θ) spherical coordinates from the current (ρ, θ, z) polar+z point
*
* The algo used is from http://www.phy225.dept.shef.ac.uk/mediawiki/index.php/Cartesian_to_polar_conversion
*
* @return array an array of 3 floats number, representing the (ρ, φ, θ) spherical coordinates
*/
- function to_spherical2 () {
- $pt = $this->to_cartesian();
- return GeoGalaxy::cartesian_to_spherical2($pt[0], $pt[1], $pt[2]);
+ function toSphericalAlternative () {
+ $pt = $this->toCartesian();
+ return GeoGalaxy::cartesianToSphericalAlternative($pt[0], $pt[1], $pt[2]);
}
/**
* Translates the center and rescales.
*
* This method allow to help to represent coordinate in a new system
*
* This method is used to represent Zed objects in dojo with the following
* parameters:
*
* $pointKaos = GeoPointPolarZ(800, 42, 220);
* $pointKaos->translate(500, 300, 200, 2);
* echo $pointKaos;
* //This will output rρz: [150, -129, 10]
*
*
* @param float $dr the difference between the old ρ and new ρ (ie the value of ρ = 0 in the new system)
* @param float $dt the difference between the old θ and new θ (ie the value of θ = 0 in the new system)
* @param float $dz the difference between the old y and new z (ie the value of z = 0 in the new system)
* @param int $scale if specified, divides each coordinate by this value (optional)
*/
function translate ($dr, $dt, $dz, $scale = 1) {
if ($scale == 1) {
$this->r += $dr;
$this->t += $dt;
$this->z += $dz;
} elseif ($scale == 0) {
$this->r = 0;
$this->t = 0;
$this->z = 0;
} else {
$this->r = $this->r * $scale + $dr;
$this->t = $this->t * $scale + $dt;
$this->z = $this->z * $scale + $dz;
}
}
/**
* Calculates the section number the specified angle belongs
*
* @param $angle float The natural angle in degree (North 0°, East 90°, etc. clockwise)
* @param int $count the number of sections (default value: 6)
* @return $int the section number
*/
static function calculate_section ($angle, $count = 6) {
if ($angle < 90) {
$angle += 270;
} else {
$angle -= 90;
}
return 1 + (int)($angle / (360/$count));
}
/**
* Gets the section number the θ angle belongs to.
*
* @param int $count the number of sections
* @return $int the section number
*/
function get_section ($count = 6) {
return self::calculate_section(self::get_natural_degrees($this->t), $count);
}
//
// Implementing IteratorAggregate
//
/**
* Retrieves class iterator. It traverses ρ, θ and z.
*
* @return Traversable the iterator
*/
function getIterator () {
return new ArrayIterator($this);
}
}