public static function toMercatorCoords($lat, $lng)
{
if ($lng > 180) {
$lng -= 360;
}
$lng /= 360;
$lat = asinh(tan(deg2rad($lat))) / M_PI / 2;
return new GoogleMapPoint($lng, $lat);
}
/**
* This method returns the inverse hyperbolic sine of this object's value.
*
* @access public
* @static
* @param IReal\Type $x the operand
* @return IDouble\Type the result
*/
public static function asinh(IReal\Type $x) : IDouble\Type
{
return IDouble\Type::box(asinh($x->unbox()));
}
public function asinhHook(&$parser, $expr = '')
{
try {
$res = $this->exprParser->doExpression($expr);
} catch (ExprError $e) {
return $e->getMessage();
}
if (function_exists('asinh')) {
$result = asinh($res);
} else {
$result = log($res + sqrt($res ^ 2 + 1));
}
$result = asinh($res);
return $this->check($result);
}
/**
* @return $this
* @desc 反双曲正弦。
*/
public function asinh()
{
$this->current = asinh($this->toDouble());
return $this;
}
<?php
/*
* proto float asinh(float number)
* Function is implemented in ext/standard/math.c
*/
$file_path = dirname(__FILE__);
require $file_path . "/allowed_rounding_error.inc";
echo "asinh 0.52109530549375= ";
var_dump(asinh(0.52109530549375));
if (allowed_rounding_error(asinh(0.52109530549375), 0.5)) {
echo "Pass\n";
} else {
echo "Fail\n";
}
echo "asinh 10.01787492741= ";
var_dump(asinh(10.01787492741));
if (allowed_rounding_error(asinh(10.01787492741), 3.0)) {
echo "Pass\n";
} else {
echo "Fail\n";
}
/**
* Inverse hyperbolic sine.
* @link http://php.net/manual/en/function.asinh.php
* @param float $number <p>The argument to process</p>
* @return float The inverse hyperbolic sine of <i>number</i>
*/
public static function asinh($number)
{
return asinh($number);
}
/**
* @param float $x A number
* @return float The hyperbolic arcsine (in radians) of the given value
*/
public function asinh($x)
{
return asinh($x);
}
echo trim("\t\tThese are a few words :) ... ");
echo trim("\t\tThese are a few words :) ... ", " \t.");
echo trim("\tExample string\n", ".. ");
echo ltrim("\t\tThese are a few words :) ... ");
echo ltrim("\t\tThese are a few words :) ... ", " \t.");
echo ltrim("\tExample string\n", ".. ");
echo rtrim("\t\tThese are a few words :) ... ");
echo rtrim("\t\tThese are a few words :) ... ", " \t.");
echo rtrim("\tExample string\n", ".. ");
echo chop("\t\tThese are a few words :) ... ");
echo chop("\t\tThese are a few words :) ... ", " \t.");
echo chop("\tExample string\n", ".. ");
echo acos(0.5);
echo acosh(0.5);
echo asin(0.5);
echo asinh(0.5);
echo atan(0.5);
echo atan2(0.5, 0.5);
echo atanh(0.5);
echo cos(0.5);
echo cosh(0.5);
echo sin(0.5);
echo sinh(0.5);
echo tan(0.5);
echo tanh(0.5);
echo exp(5.7);
echo exp(12);
echo log10(12);
echo log(12);
echo sqrt(2);
echo ceil(7.9);
VC(pow("2", "8"), 256);
VC(pow("-1", "20"), 1);
var_dump(pow("0", "0"));
var_dump(is_int(pow("2", "32")));
VC(exp(12), 162754.791419);
VC(exp(5.7), 298.86740096706);
VC(expm1(5.7), 297.8674);
var_dump(log10(10));
var_dump(log10(100));
VC(log1p(9), 2.302585092994);
VC(log1p(99), 4.6051701859881);
VC(log(8), 2.0794415416798);
var_dump(log(8, 2));
VC(cos(M_PI), -1);
VC(cosh(1.23), 1.8567610569853);
VC(sin(deg2rad(90)), 1);
VC(sinh(1.23), 1.5644684793044);
VC(tan(deg2rad(45)), 1);
VC(tanh(1.23), 0.84257932565893);
VC(acos(-1), M_PI);
VC(acosh(1.8567610569853), 1.23);
VC(asin(1), deg2rad(90));
VC(asinh(1.5644684793044), 1.23);
VC(atan(1), deg2rad(45));
VC(atanh(0.84257932565893), 1.23);
VC(atan2(3, 4), 0.64350110879328);
var_dump(hypot(3, 4));
var_dump(fmod(5.7, 1.3));
var_dump(sqrt(9));
var_dump(getrandmax());
var_dump(mt_getrandmax());
private function func(Token $func, &$args)
{
$functions = array("abs" => array(1, array(Token::T_NUMBER), Token::T_NUMBER, function ($a) {
return abs($a);
}), "acos" => array(1, array(Token::T_NUMBER), Token::T_NUMBER, function ($a) {
return acos($a);
}), "acosh" => array(1, array(Token::T_NUMBER), Token::T_NUMBER, function ($a) {
return acosh($a);
}), "addMonths" => array(2, array(Token::T_NUMBER, Token::T_DATE), Token::T_DATE, function ($a, $b) {
return Expression::addMonths($a, $b);
}), "asin" => array(1, array(Token::T_NUMBER), Token::T_NUMBER, function ($a) {
return asin($a);
}), "asinh" => array(1, array(Token::T_NUMBER), Token::T_NUMBER, function ($a) {
return asinh($a);
}), "atan" => array(1, array(Token::T_NUMBER), Token::T_NUMBER, function ($a) {
return atan($a);
}), "atan2" => array(2, array(Token::T_NUMBER, Token::T_NUMBER), Token::T_NUMBER, function ($a, $b) {
return atan2($a, $b);
}), "atanh" => array(1, array(Token::T_NUMBER), Token::T_NUMBER, function ($a) {
return atanh($a);
}), "ceil" => array(1, array(Token::T_NUMBER), Token::T_NUMBER, function ($a) {
return ceil($a);
}), "concat" => array(-1, array(Token::T_TEXT), Token::T_TEXT, function ($a) {
$s = '';
foreach ($a as $v) {
$s .= isset($v) ? $v : '';
}
return $s;
}), "cos" => array(1, array(Token::T_NUMBER), Token::T_NUMBER, function ($a) {
return cos($a);
}), "cosh" => array(1, array(Token::T_NUMBER), Token::T_NUMBER, function ($a) {
return cosh($a);
}), "count" => array(-1, array(Token::T_NUMBER), Token::T_NUMBER, function ($a) {
$c = 0;
foreach ($a as $v) {
if (isset($v)) {
$c += 1;
}
}
return $c;
}), "day" => array(1, array(Token::T_DATE), Token::T_NUMBER, function ($a) {
return (double) $a->format('d');
}), "exp" => array(1, array(Token::T_NUMBER), Token::T_NUMBER, function ($a) {
return exp($a);
}), "firstDayOfMonth" => array(1, array(Token::T_DATE), Token::T_DATE, function ($a) {
return Expression::firstDayOfMonth($a);
}), "floor" => array(1, array(Token::T_NUMBER), Token::T_NUMBER, function ($a) {
return floor($a);
}), "fullmonth" => array(1, array(Token::T_DATE), Token::T_TEXT, function ($a) {
$months = array("janvier", "février", "mars", "avril", "mai", "juin", "juillet", "août", "septembre", "octobre", "novembre", "décembre");
return $months[(int) $a->format('m') - 1] . ' ' . $a->format('Y');
}), "get" => array(2, array(Token::T_ARRAY, Token::T_NUMBER), Token::T_TEXT, function ($a, $b) {
return isset($a[$b - 1]) ? $a[$b - 1] : "";
}), "lastday" => array(2, array(Token::T_NUMBER, Token::T_NUMBER), Token::T_NUMBER, function ($a, $b) {
return Expression::lastDay($b, $a);
}), "lastDayOfMonth" => array(1, array(Token::T_DATE), Token::T_DATE, function ($a) {
return Expression::lastDayOfMonth($a);
}), "length" => array(1, array(Token::T_TEXT), Token::T_NUMBER, function ($a) {
return mb_strlen($a, 'utf8');
}), "log" => array(1, array(Token::T_NUMBER), Token::T_NUMBER, function ($a) {
return log($a);
}), "log10" => array(1, array(Token::T_NUMBER), Token::T_NUMBER, function ($a) {
return log10($a);
}), "lower" => array(1, array(Token::T_TEXT), Token::T_TEXT, function ($a) {
return strtolower($a);
}), "match" => array(2, array(Token::T_TEXT, Token::T_TEXT), Token::T_BOOLEAN, function ($a, $b) {
return preg_match($a, $b);
}), "max" => array(2, array(Token::T_NUMBER, Token::T_NUMBER), Token::T_NUMBER, function ($a, $b) {
return max($a, $b);
}), "min" => array(2, array(Token::T_NUMBER, Token::T_NUMBER), Token::T_NUMBER, function ($a, $b) {
return min($a, $b);
}), "money" => array(1, array(Token::T_NUMBER), Token::T_TEXT, function ($a) {
return (string) number_format($a, 2, ",", " ");
}), "month" => array(1, array(Token::T_DATE), Token::T_NUMBER, function ($a) {
return (double) $a->format('m');
}), "nextWorkDay" => array(1, array(Token::T_DATE), Token::T_DATE, function ($a) {
return Expression::nextWorkingDay($a);
}), "pow" => array(2, array(Token::T_NUMBER, Token::T_NUMBER), Token::T_NUMBER, function ($a, $b) {
return pow($a, $b);
}), "rand" => array(0, array(), Token::T_NUMBER, function () {
return rand();
}), "replace" => array(3, array(Token::T_TEXT, Token::T_TEXT, Token::T_TEXT), Token::T_TEXT, function ($a, $b, $c) {
return str_replace($a, $b, $c);
}), "round" => array(1, array(Token::T_NUMBER), Token::T_NUMBER, function ($a) {
return round($a);
}), "sin" => array(1, array(Token::T_NUMBER), Token::T_NUMBER, function ($a) {
return sin($a);
}), "sinh" => array(1, array(Token::T_NUMBER), Token::T_NUMBER, function ($a) {
return sinh($a);
}), "size" => array(1, array(Token::T_ARRAY), Token::T_NUMBER, function ($a) {
return count($a);
}), "split" => array(2, array(Token::T_TEXT, Token::T_TEXT), Token::T_ARRAY, function ($a, $b) {
return explode($a, $b);
}), "sqrt" => array(1, array(Token::T_NUMBER), Token::T_NUMBER, function ($a) {
return sqrt($a);
}), "substr" => array(3, array(Token::T_TEXT, Token::T_NUMBER, Token::T_NUMBER), Token::T_TEXT, function ($a, $b, $c) {
return substr($a, $b - 1, $c);
}), "sum" => array(-1, array(Token::T_NUMBER), Token::T_NUMBER, function ($a) {
$s = 0;
foreach ($a as $v) {
if (isset($v)) {
$s += $v;
}
}
return $s;
}), "tan" => array(1, array(Token::T_NUMBER), Token::T_NUMBER, function ($a) {
return tan($a);
}), "tanh" => array(1, array(Token::T_NUMBER), Token::T_NUMBER, function ($a) {
return tanh($a);
}), "upper" => array(1, array(Token::T_TEXT), Token::T_TEXT, function ($a) {
return strtoupper($a);
}), "workdays" => array(2, array(Token::T_DATE, Token::T_DATE), Token::T_NUMBER, function ($a, $b) {
return Expression::workdays($a, $b);
}), "year" => array(1, array(Token::T_DATE), Token::T_NUMBER, function ($a) {
return (double) $a->format('Y');
}));
if ($func->value == "defined") {
if (count($args) < 1) {
throw new \Exception("Illegal number (" . count($args) . ") of operands for function" . $func);
}
$arg = array_pop($args);
if ($arg->isVariable()) {
return new Token(Token::T_BOOLEAN, false);
}
if ($arg->value === null || $arg->value == "") {
return new Token(Token::T_BOOLEAN, false);
}
return new Token(Token::T_BOOLEAN, true);
}
if (!isset($functions[$func->value])) {
throw new \Exception("Unknown function : " . $func);
}
$argc = $functions[$func->value][0];
$variableArgsCount = false;
if ($argc == -1) {
$argc = count($args);
$variableArgsCount = true;
}
if (count($args) < $argc) {
throw new \Exception("Illegal number (" . count($args) . ") of operands for function" . $func);
}
$argv = array();
for (; $argc > 0; --$argc) {
$arg = array_pop($args);
if (!$variableArgsCount) {
if ($arg->isVariable()) {
return new Token(Token::T_UNDEFINED, array($arg));
}
$type = $functions[$func->value][1][$argc - 1];
if ($arg->type != $type) {
$expected = "";
switch ($type) {
case Token::T_NUMBER:
$expected = "number";
break;
case Token::T_DATE:
$expected = "date";
break;
case Token::T_BOOLEAN:
$expected = "boolean";
break;
case Token::T_TEXT:
$expected = "text";
break;
case Token::T_ARRAY:
$expected = "array";
break;
}
throw new \Exception("Illegal type for argument '" . $arg . "' : operand must be a " . $expected . " for " . $func);
}
array_unshift($argv, $arg->value);
} else {
if ($arg->isVariable()) {
unset($arg->value);
} else {
array_unshift($argv, $arg->value);
}
}
}
if ($variableArgsCount) {
$argv = array($argv);
}
return new Token($functions[$func->value][2], call_user_func_array($functions[$func->value][3], $argv));
}
<?php
/*
* proto float asinh(float number)
* Function is implemented in ext/standard/math.c
*/
//Test asinh with a different input values
$values = array(23, -23, 23.45, -23.45, 0x17, 027, "23", "23.45", "2.345e1", "nonsense", "1000", "1000ABC", null, true, false);
for ($i = 0; $i < count($values); $i++) {
$res = asinh($values[$i]);
var_dump($res);
}
public static function arcSinH($x)
{
return asinh($x);
}
/**
* Inverse hyperbolic cosecant.
*
* @param float $arg The hyperbolic cosecant of the angle.
*
* @return float The angle in radians corresponding to `$arg`.
*/
public static function arcsch($arg)
{
return asinh(1 / $arg);
}
<?php /* * proto float asinh(float number) * Function is implemented in ext/standard/math.c */ $arg_0 = 1.0; $extra_arg = 1; echo "\nToo many arguments\n"; var_dump(asinh($arg_0, $extra_arg)); echo "\nToo few arguments\n"; var_dump(asinh());
public function testCanEvaluateHyperbolicFunctions()
{
$x = $this->variables['x'];
$this->assertResult('sinh(0)', 0);
$this->assertResult('sinh(x)', sinh($x));
$this->assertResult('cosh(0)', 1);
$this->assertResult('cosh(x)', cosh($x));
$this->assertResult('tanh(0)', 0);
$this->assertResult('tanh(x)', tanh($x));
$this->assertResult('coth(x)', 1 / tanh($x));
$this->assertResult('arsinh(0)', 0);
$this->assertResult('arsinh(x)', asinh($x));
$this->assertResult('arcosh(1)', 0);
$this->assertResult('arcosh(3)', acosh(3));
$this->assertResult('artanh(0)', 0);
$this->assertResult('artanh(x)', atanh($x));
$this->assertResult('arcoth(3)', atanh(1 / 3));
}
public static function asinh($self, $a)
{
return asinh($a);
}
/**
* Seno Hiperbólico Inverso
* @return Number
*/
public function asinh()
{
$this->num = asinh($this->num);
return $this;
}
/**
*
*/
public function getInverseHiperbolicSinOf()
{
$this->lastOutputValue = asinh($this->calcLeftNumber);
return $this->lastOutputValue;
}
/**
* Evaluate a FunctionNode
*
* Computes the value of a FunctionNode `f(x)`, where f is
* an elementary function recognized by StdMathLexer and StdMathParser.
*
* @see \MathParser\Lexer\StdMathLexer StdMathLexer
* @see \MathParser\StdMathParser StdMathParser
* @throws UnknownFunctionException if the function respresented by the
* FunctionNode is *not* recognized.
*
* @param FunctionNode $node AST to be evaluated
* @retval float
*/
public function visitFunctionNode(FunctionNode $node)
{
$inner = $node->getOperand()->accept($this);
switch ($node->getName()) {
// Trigonometric functions
case 'sin':
return sin($inner);
case 'cos':
return cos($inner);
case 'tan':
return tan($inner);
case 'cot':
return 1 / tan($inner);
// Inverse trigonometric functions
// Inverse trigonometric functions
case 'arcsin':
return asin($inner);
case 'arccos':
return acos($inner);
case 'arctan':
return atan($inner);
case 'arccot':
return pi() / 2 - atan($inner);
// Exponentials and logarithms
// Exponentials and logarithms
case 'exp':
return exp($inner);
case 'log':
return log($inner);
case 'lg':
return log10($inner);
// Powers
// Powers
case 'sqrt':
return sqrt($inner);
// Hyperbolic functions
// Hyperbolic functions
case 'sinh':
return sinh($inner);
case 'cosh':
return cosh($inner);
case 'tanh':
return tanh($inner);
case 'coth':
return 1 / tanh($inner);
// Inverse hyperbolic functions
// Inverse hyperbolic functions
case 'arsinh':
return asinh($inner);
case 'arcosh':
return acosh($inner);
case 'artanh':
return atanh($inner);
case 'arcoth':
return atanh(1 / $inner);
default:
throw new UnknownFunctionException($node->getName());
}
}
/**
* @param int|float $number
*
* @return float
*/
function inverseHyperbolicSine($number)
{
return (double) \asinh($number);
}
<?php
define("MAX_64Bit", 9223372036854775807);
define("MAX_32Bit", 2147483647);
define("MIN_64Bit", -9223372036854775807 - 1);
define("MIN_32Bit", -2147483647 - 1);
$longVals = array(MAX_64Bit, MIN_64Bit, MAX_32Bit, MIN_32Bit, MAX_64Bit - MAX_32Bit, MIN_64Bit - MIN_32Bit, MAX_32Bit + 1, MIN_32Bit - 1, MAX_32Bit * 2, MAX_32Bit * 2 + 1, MAX_32Bit * 2 - 1, MAX_64Bit - 1, MAX_64Bit + 1, MIN_64Bit + 1, MIN_64Bit - 1);
foreach ($longVals as $longVal) {
echo "--- testing: {$longVal} ---\n";
var_dump(asinh($longVal));
}
?>
===DONE===
private function _asinh($num)
{
$num = (double) $num;
if (function_exists('asinh')) {
return asinh($num);
}
return log($num + sqrt(pow($num, 2) + 1));
}
echo M_2_SQRTPI . "\n";
echo M_SQRT2 . "\n";
echo M_SQRT1_2 . "\n";
echo "abs\n";
echo abs(-2354) . " " . abs("foo") . " " . abs(0) . " " . abs(5) . abs(1.2345) . "\n";
echo "acos\n";
echo acos(-2354) . " " . acos("foo") . " " . acos(0) . " " . acos(5) . acos(1.2345) . "\n";
if (PHP_OS != 'WINNT') {
echo "acosh\n";
echo acosh(-2354) . " " . acosh("foo") . " " . acosh(0) . " " . acosh(5) . acosh(1.2345) . "\n";
}
echo "asin\n";
echo asin(-2354) . " " . asin("foo") . " " . asin(0) . " " . asin(5) . asin(1.2345) . "\n";
if (PHP_OS != 'WINNT') {
echo "asinh\n";
echo asinh(-2354) . " " . asinh("foo") . " " . asinh(0) . " " . asinh(5) . asinh(1.2345) . "\n";
}
echo "atan\n";
echo atan(-2354) . " " . atan("foo") . " " . atan(0) . " " . atan(5) . atan(1.2345) . "\n";
if (PHP_OS != 'WINNT') {
echo "atanh\n";
echo atanh(-2354) . " " . atanh("foo") . " " . atanh(0) . " " . atanh(5) . atanh(1.2345) . "\n";
}
echo "atan2\n";
echo atan2(-2354, 3) . " " . atan2("foo", 12) . " " . atan2(0, 3) . " " . atan2(5, 2.3) . atan2(1.2345, 3.22) . "\n";
echo "base_convert\n";
echo base_convert("-2354", 10, 2) . " " . base_convert("foo", 10, 10) . " " . base_convert(300, 4, 20) . " " . base_convert(5, 6, 7) . " " . base_convert(5, 4, 7) . " " . base_convert(1.2345, 8, 2) . "\n";
echo "bindec\n";
echo bindec("-2354") . " " . bindec("foo") . " " . bindec(0) . " " . bindec(5) . bindec("1.2345") . "\n";
echo "ceil\n";
echo ceil(-2354) . " " . ceil("foo") . " " . ceil(0) . " " . ceil(5) . ceil(1.2345) . "\n";
/**
* Evaluate a FunctionNode
*
* Computes the value of a FunctionNode `f(x)`, where f is
* an elementary function recognized by StdMathLexer and StdMathParser.
*
* @see \MathParser\Lexer\StdMathLexer StdMathLexer
* @see \MathParser\StdMathParser StdMathParser
* @throws UnknownFunctionException if the function respresented by the
* FunctionNode is *not* recognized.
*
* @param FunctionNode $node AST to be evaluated
* @retval float
*/
public function visitFunctionNode(FunctionNode $node)
{
$inner = $node->getOperand()->accept($this);
switch ($node->getName()) {
// Trigonometric functions
case 'sin':
return sin($inner);
case 'cos':
return cos($inner);
case 'tan':
return tan($inner);
case 'cot':
return 1 / tan($inner);
// Trigonometric functions, argument in degrees
// Trigonometric functions, argument in degrees
case 'sind':
return sin(deg2rad($inner));
case 'cosd':
return cos(deg2rad($inner));
case 'tand':
return tan(deg2rad($inner));
case 'cotd':
return 1 / tan(deg2rad($inner));
// Inverse trigonometric functions
// Inverse trigonometric functions
case 'arcsin':
return asin($inner);
case 'arccos':
return acos($inner);
case 'arctan':
return atan($inner);
case 'arccot':
return pi() / 2 - atan($inner);
// Exponentials and logarithms
// Exponentials and logarithms
case 'exp':
return exp($inner);
case 'log':
return log($inner);
case 'lg':
return log10($inner);
// Powers
// Powers
case 'sqrt':
return sqrt($inner);
// Hyperbolic functions
// Hyperbolic functions
case 'sinh':
return sinh($inner);
case 'cosh':
return cosh($inner);
case 'tanh':
return tanh($inner);
case 'coth':
return 1 / tanh($inner);
// Inverse hyperbolic functions
// Inverse hyperbolic functions
case 'arsinh':
return asinh($inner);
case 'arcosh':
return acosh($inner);
case 'artanh':
return atanh($inner);
case 'arcoth':
return atanh(1 / $inner);
case 'abs':
return abs($inner);
case 'sgn':
return $inner >= 0 ? 1 : 0;
case '!':
$logGamma = Math::logGamma(1 + $inner);
return exp($logGamma);
case '!!':
if (round($inner) != $inner) {
throw new \UnexpectedValueException("Expecting positive integer (semifactorial)");
}
return Math::SemiFactorial($inner);
default:
throw new UnknownFunctionException($node->getName());
}
}
