feat: new arithmetic 🎨

Author: m9rco

package/Query/InseertQuery.php

@@ -0,0 +1,49 @@
+<?php
+/**
+ * insertQuery
+ *
+ * @author   Pu ShaoWei <[email protected]>
+ * @date     2017/8/25
+ * @license  Mozilla
+ * -------------------------------------------------------------
+ * 思路分析：对于数组长度比较大，关键字分布又是比较均匀的来说，插值查找的效率比折半查找的效率高
+ * -------------------------------------------------------------
+ * 它是二分查找的改进。
+ * 在英文词典里查找“apple”，你下意识里翻开词典是翻前面的书页还是后面的书页呢？如果再查“zoo”,你又会怎么查？
+ * 显然你不会从词典中间开始查起，而是有一定目的地往前或往后翻。
+ *
+ * @param $container
+ * @param $num
+ * @return int
+ */
+function insertQuery(array $container, $num)
+{
+    $count = count($container);
+    $lower = 0;
+    $high  = $count - 1;
+
+    while ($lower <= $high) {
+        if ($container[ $lower ] == $num) {
+            return $lower;
+        }
+        if ($container[ $high ] == $num) {
+            return $high;
+        }
+
+        $left  = intval($lower + $num - $container[ $lower ]);
+        $right = ($container[ $high ] - $container[ $lower ]) * ($high - $lower);
+
+        $middle = $left /$right;
+
+        if ($num < $container[ $middle ]) {
+            $high  = $middle - 1;
+        } else if ($num > $container[ $middle ]) {
+            $lower = $middle + 1;
+        } else {
+            return $middle;
+        }
+    }
+    return false;
+}
+
+echo insertQuery([4, 5, 7, 8, 9, 10, 8], 8);