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<?php |
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/** |
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* Trait MathAndTrigonometry-A |
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* |
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* @link https://www.icy2003.com/ |
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* @author icy2003 <[email protected]> |
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* @copyright Copyright (c) 2017, icy2003 |
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*/ |
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namespace icy2003\php\icomponents\excel\mathAndTrigonometry; |
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use icy2003\php\ihelpers\Strings; |
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/** |
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* MathAndTrigonometry-A |
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*/ |
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trait AMAT |
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{ |
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/** |
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* 返回数字的绝对值 |
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* |
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* - y = |x|, x ∈ (-∞, +∞) |
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* |
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* @param double $number 必需。 需要计算其绝对值的实数 |
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* |
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* @return double |
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*/ |
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public static function abs($number) |
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{ |
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return abs($number); |
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} |
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/** |
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* 返回数字的反余弦值 |
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* |
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* - y = arccos(x), x ∈ [-1, 1] |
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* |
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* @param double $number 必需。 所求角度的余弦值，必须介于 -1 到 1 之间 |
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* |
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* @return double |
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*/ |
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public static function acos($number) |
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{ |
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return acos($number); |
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} |
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/** |
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* 返回数字的反双曲余弦值 |
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* |
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* - y = arcosh(x) = ln(x + √(x^2 -1)), x ∈ [1, +∞) |
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* |
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* @param double $number 必需。 大于或等于 1 的任意实数 |
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* |
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* @return double |
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*/ |
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public static function acosh($number) |
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{ |
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return acosh($number); |
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} |
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/** |
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* 返回数字的反余切值的主值 |
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* |
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* - y = arccot(x), x ∈ (-∞, +∞) |
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* |
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* @param double $number 必需。 Number 为所需角度的余切值。 此值必须是实数 |
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* |
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* @return double |
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*/ |
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public static function acot($number) |
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{ |
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return pi() / 2 - atan($number); |
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} |
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/** |
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* 返回数字的反双曲余切值 |
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* |
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* - y = arccoth(x) = arctanh(1 / x), {x| x > 1 或 x < -1} |
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* |
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* @param double $number 必需。 Number 的绝对值必须大于 1 |
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* |
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* @return double |
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*/ |
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public static function acoth($number) |
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{ |
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return atanh(1 / $number); |
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} |
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/** |
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* 将罗马数字转换为阿拉伯数字 |
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* |
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* @param string $string 必需。 用引号引起的字符串、空字符串 ("") 或对包含文本的单元格的引用 |
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* |
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* @return integer |
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*/ |
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public static function arabic($string) |
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{ |
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$roman = array( |
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'M' => 1000, |
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'D' => 500, |
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'C' => 100, |
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'L' => 50, |
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'X' => 10, |
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'V' => 5, |
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'I' => 1, |
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); |
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$strlen = Strings::length($string); |
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$values = []; |
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for ($i = 0; $i < $strlen; $i++) { |
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if (isset($roman[strtoupper($string[$i])])) { |
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$values[] = $roman[strtoupper($string[$i])]; |
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} |
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} |
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$sum = 0; |
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while ($current = current($values)) { |
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$next = next($values); |
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$next > $current ? $sum += $next - $current + 0 * next($values) : $sum += $current; |
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} |
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return $sum; |
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} |
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/** |
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* 返回数字的反正弦值 |
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* |
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* - y = arcsin(x), x ∈ [-1, 1] |
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* |
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* @param double $number 必需。 所求角度的正弦值，必须介于 -1 到 1 之间 |
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* |
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* @return double |
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*/ |
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public static function asin($number) |
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{ |
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return asin($number); |
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} |
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/** |
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* 返回数字的反双曲正弦值 |
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* |
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* - y = arsinh(x) = ln(x + √(x^2 + 1)), x ∈ (-∞, +∞) |
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* |
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* @param double $number 必需。 任意实数 |
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* |
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* @return double |
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*/ |
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public static function asinh($number) |
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{ |
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return asinh($number); |
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} |
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/** |
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* 返回数字的反正切值 |
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* |
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* - y = arctan(x), x ∈(-π/2, π/2) |
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* |
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* @param double $number 必需。 所求角度的正切值 |
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* |
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* @return double |
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*/ |
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public static function atan($number) |
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{ |
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return atan($number); |
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} |
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/** |
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* 返回给定的 X 轴及 Y 轴坐标值的反正切值 |
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* |
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* @param double $x 必需。 点的 x 坐标 |
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* @param double $y 必需。 点的 y 坐标 |
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* |
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* @return double |
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*/ |
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public static function atan2($x, $y) |
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{ |
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$sign = 1; |
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if ($y < 0) { |
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$sign = -1; |
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} |
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if ($x < 0) { |
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return $sign * (pi() - self::abs(self::atan($y / $x))); |
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} elseif ($x == 0) { |
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return pi() / 2 * $sign; |
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} else { |
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return $sign * self::abs(self::atan($y / $x)); |
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} |
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} |
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/** |
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* 返回数字的反双曲正切值 |
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* |
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* - y = artanh(x), x ∈(-1, 1) = 1/2 * ln((1 + x) / (1 - x)) |
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* |
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* @param double $number 必需。 -1 到 1 之间的任意实数 |
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* |
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* @return double |
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*/ |
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public static function atanh($number) |
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{ |
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return atanh($number); |
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} |
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} |
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icy2003 /
php
