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<?php |
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/** |
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* Trait MathAndTrigonometry-C |
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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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/** |
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* MathAndTrigonometry-C |
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*/ |
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trait CMAT |
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{ |
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/** |
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* 返回将参数 number 向上舍入(沿绝对值增大的方向)为最接近的指定基数的倍数 |
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* |
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* @param double $number 必需。 要舍入的值 |
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* @param double $significance 必需。 要舍入到的倍数 |
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* |
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* @return double |
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*/ |
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public static function ceiling($number, $significance = 1) |
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{ |
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return is_numeric($number) ? (ceil($number / $significance) * $significance) : false; |
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} |
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/** |
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* 返回给定数目的项目的组合数 |
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* |
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* - C(m,n) = n! / (m! * (n - m)!),其中 0 ≤ m ≤ n |
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* |
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* @param integer $n 必需。 项目的数量 |
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* @param integer $m 必需。 每一组合中项目的数量 |
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* |
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* @return integer |
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*/ |
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public static function combin($n, $m) |
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{ |
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return (self::fact($n) / (self::fact($m) * self::fact($n - $m))); |
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} |
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/** |
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* 返回给定数目的项的组合数(包含重复) |
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* |
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* @param integer $n 必需。 必须大于或等于 0 并大于或等于 m 非整数值将被截尾取整 |
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* @param integer $m 必需。 必须大于或等于 0。 非整数值将被截尾取整 |
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* |
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* @return integer |
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*/ |
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public static function combina($n, $m) |
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{ |
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return self::combin($n + $m - 1, $n - 1); |
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} |
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/** |
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* 返回已知角度的余弦值 |
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* |
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* @param double $number 必需。 想要求余弦的角度,以弧度表示 |
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* |
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* @return double |
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*/ |
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public static function cos($number) |
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{ |
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return cos($number); |
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} |
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/** |
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* 返回数字的双曲余弦值 |
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* |
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* - y = cosh(x) = (e^x + e^(-x)) / 2 |
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* |
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* @param double $number 必需。 想要求双曲余弦的任意实数 |
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* |
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* @return double |
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*/ |
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public static function cosh($number) |
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{ |
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return cosh($number); |
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} |
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/** |
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* 返回以弧度表示的角度的余切值 |
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* |
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* @param double $number 必需。 要获得其余切值的角度,以弧度表示 |
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* |
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* @return double |
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*/ |
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public static function cot($number) |
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{ |
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return -tan(pi() / 2 + $number); |
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} |
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/** |
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* 返回一个双曲角度的双曲余切值 |
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* |
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* - y = coth(x) = 1 / tanh(x) = (e^x + e^(-x)) / (e^x - e^(-x)) |
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* |
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* @param double $number 必需 |
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* |
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* @return double |
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*/ |
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public static function coth($number) |
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{ |
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return 1 / tanh($number); |
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} |
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/** |
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* 返回角度的余割值,以弧度表示 |
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* |
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* @param double $number 必需 |
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* |
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* @return double |
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*/ |
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public static function csc($number) |
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{ |
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return 1 / sin($number); |
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} |
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/** |
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* 返回角度的双曲余割值,以弧度表示 |
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* |
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* - y = csch(x) = 1 / sinh(x) = 2 / (e^x - e^(-x)) |
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* |
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* @param double $number 必需 |
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* |
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* @return double |
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*/ |
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public static function csch($number) |
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{ |
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return 1 / sinh($number); |
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} |
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} |
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