在處理高精度數學運算時,php內置的bcmul函數是一個非常有用的工具。它屬於bcmath擴展的一部分,允許我們進行任意精度的乘法操作。然而, bcmul雖然強大,但在使用過程中也存在一些容易被忽視的類型轉換陷阱。如果不注意這些細節
bcmul(字符串$ num1,字符串$ num2,?int $ scale = null):字符串
該函數將兩個任意精度的數字相乘,返回結果字符串。 ,返回結果字符串。
<span><span><span class="hljs-variable">$result</span></span><span> = </span><span><span class="hljs-title function_ invoke__">bcmul</span></span><span>(</span><span><span class="hljs-string">'1.23'</span></span><span>, </span><span><span class="hljs-string">'4.56'</span></span><span>, </span><span><span class="hljs-number">2</span></span><span>); </span><span><span class="hljs-comment">// 返回 '5.60'</span></span><span>
</span></span>
注意:輸入必須是字符串,否則可能會觸發意料之外的行為。 ,否則可能會觸發意料之外的行為。
如果不小心將整數或浮點數直接傳入bcmul ,php並不會拋出錯誤,而是會嘗試轉換成字符串。然而,這種轉換是由底層的字符串轉換機製完成的,容易引入精度問題。 ,容易引入精度問題。
<span><span><span class="hljs-variable">$floatA</span></span><span> = </span><span><span class="hljs-number">0.1</span></span><span>;
</span><span><span class="hljs-variable">$floatB</span></span><span> = </span><span><span class="hljs-number">0.2</span></span><span>;
</span><span><span class="hljs-variable">$result</span></span><span> = </span><span><span class="hljs-title function_ invoke__">bcmul</span></span><span>(</span><span><span class="hljs-variable">$floatA</span></span><span>, </span><span><span class="hljs-variable">$floatB</span></span><span>, </span><span><span class="hljs-number">10</span></span><span>); </span><span><span class="hljs-comment">// 错误:浮点精度损失</span></span><span>
</span></span>
浮點數在內存中並非精確表示, 0.1實際上是個無限接近的近似值,參與運算前就已經不准確了。 ,參與運算前就已經不准確了。
解決方法:所有參與bcmath運算的參數都應當顯式轉換為字符串。
<span><span><span class="hljs-variable">$result</span></span><span> = </span><span><span class="hljs-title function_ invoke__">bcmul</span></span><span>(</span><span><span class="hljs-string">'0.1'</span></span><span>, </span><span><span class="hljs-string">'0.2'</span></span><span>, </span><span><span class="hljs-number">10</span></span><span>); </span><span><span class="hljs-comment">// 正确:'0.0200000000'</span></span><span>
</span></span>
如果你從數據庫、 api或用戶輸入中獲得的數據採用科學計數法,直接傳入bcmul也會出問題。
<span><span><span class="hljs-variable">$num</span></span><span> = </span><span><span class="hljs-string">'1.2E3'</span></span><span>;
</span><span><span class="hljs-variable">$result</span></span><span> = </span><span><span class="hljs-title function_ invoke__">bcmul</span></span><span>(</span><span><span class="hljs-variable">$num</span></span><span>, </span><span><span class="hljs-string">'2'</span></span><span>, </span><span><span class="hljs-number">2</span></span><span>); </span><span><span class="hljs-comment">// 错误:bcmul 无法解析科学计数法</span></span><span>
</span></span>
解決方法:在傳遞給bcmul前,應將科學計數法轉換為普通的十進製字符串。 ,應將科學計數法轉換為普通的十進製字符串。
<span><span><span class="hljs-function"><span class="hljs-keyword">function</span></span></span><span> </span><span><span class="hljs-title">sciToDec</span></span><span>(</span><span><span class="hljs-params"><span class="hljs-variable">$sci</span></span></span><span>) {
</span><span><span class="hljs-keyword">if</span></span><span> (</span><span><span class="hljs-title function_ invoke__">stripos</span></span><span>(</span><span><span class="hljs-variable">$sci</span></span><span>, </span><span><span class="hljs-string">'e'</span></span><span>) === </span><span><span class="hljs-literal">false</span></span><span>) </span><span><span class="hljs-keyword">return</span></span><span> </span><span><span class="hljs-variable">$sci</span></span><span>;
</span><span><span class="hljs-variable">$parts</span></span><span> = </span><span><span class="hljs-title function_ invoke__">explode</span></span><span>(</span><span><span class="hljs-string">'e'</span></span><span>, </span><span><span class="hljs-title function_ invoke__">strtolower</span></span><span>(</span><span><span class="hljs-variable">$sci</span></span><span>));
</span><span><span class="hljs-keyword">return</span></span><span> </span><span><span class="hljs-title function_ invoke__">bcmul</span></span><span>(</span><span><span class="hljs-variable">$parts</span></span><span>[</span><span><span class="hljs-number">0</span></span><span>], </span><span><span class="hljs-title function_ invoke__">bcpow</span></span><span>(</span><span><span class="hljs-string">'10'</span></span><span>, </span><span><span class="hljs-variable">$parts</span></span><span>[</span><span><span class="hljs-number">1</span></span><span>]));
}
</span><span><span class="hljs-variable">$result</span></span><span> = </span><span><span class="hljs-title function_ invoke__">bcmul</span></span><span>(</span><span><span class="hljs-title function_ invoke__">sciToDec</span></span><span>(</span><span><span class="hljs-string">'1.2E3'</span></span><span>), </span><span><span class="hljs-string">'2'</span></span><span>, </span><span><span class="hljs-number">2</span></span><span>); </span><span><span class="hljs-comment">// 正确:'2400.00'</span></span><span>
</span></span>
傳入空字符串或null時,php會將它們當作0,這可能掩蓋嚴重的輸入錯誤。
<span><span><span class="hljs-variable">$result</span></span><span> = </span><span><span class="hljs-title function_ invoke__">bcmul</span></span><span>(</span><span><span class="hljs-string">''</span></span><span>, </span><span><span class="hljs-string">'10'</span></span><span>); </span><span><span class="hljs-comment">// 返回 '0'</span></span><span>
</span></span>
解決方法:運算前對參數做嚴格校驗。
<span><span><span class="hljs-function"><span class="hljs-keyword">function</span></span></span><span> </span><span><span class="hljs-title">validateBcmathInput</span></span><span>(</span><span><span class="hljs-params"><span class="hljs-variable">$value</span></span></span><span>) {
</span><span><span class="hljs-keyword">return</span></span><span> </span><span><span class="hljs-title function_ invoke__">is_string</span></span><span>(</span><span><span class="hljs-variable">$value</span></span><span>) && </span><span><span class="hljs-title function_ invoke__">is_numeric</span></span><span>(</span><span><span class="hljs-variable">$value</span></span><span>);
}
</span></span>
<span><span><span class="hljs-function"><span class="hljs-keyword">function</span></span></span><span> </span><span><span class="hljs-title">safeBcmul</span></span><span>(</span><span><span class="hljs-params"><span class="hljs-variable">$a</span></span></span><span>, </span><span><span class="hljs-variable">$b</span></span><span>, </span><span><span class="hljs-variable">$scale</span></span><span> = </span><span><span class="hljs-number">2</span></span><span>) {
</span><span><span class="hljs-keyword">if</span></span><span> (!</span><span><span class="hljs-title function_ invoke__">is_numeric</span></span><span>(</span><span><span class="hljs-variable">$a</span></span><span>) || !</span><span><span class="hljs-title function_ invoke__">is_numeric</span></span><span>(</span><span><span class="hljs-variable">$b</span></span><span>)) {
</span><span><span class="hljs-keyword">throw</span></span><span> </span><span><span class="hljs-keyword">new</span></span><span> </span><span><span class="hljs-built_in">InvalidArgumentException</span></span><span>(</span><span><span class="hljs-string">"参数必须是数值或数字字符串"</span></span><span>);
}
</span><span><span class="hljs-variable">$a</span></span><span> = </span><span><span class="hljs-title function_ invoke__">number_format</span></span><span>((</span><span><span class="hljs-keyword">float</span></span><span>)</span><span><span class="hljs-variable">$a</span></span><span>, </span><span><span class="hljs-variable">$scale</span></span><span> + </span><span><span class="hljs-number">2</span></span><span>, </span><span><span class="hljs-string">'.'</span></span><span>, </span><span><span class="hljs-string">''</span></span><span>);
</span><span><span class="hljs-variable">$b</span></span><span> = </span><span><span class="hljs-title function_ invoke__">number_format</span></span><span>((</span><span><span class="hljs-keyword">float</span></span><span>)</span><span><span class="hljs-variable">$b</span></span><span>, </span><span><span class="hljs-variable">$scale</span></span><span> + </span><span><span class="hljs-number">2</span></span><span>, </span><span><span class="hljs-string">'.'</span></span><span>, </span><span><span class="hljs-string">''</span></span><span>);
</span><span><span class="hljs-keyword">return</span></span><span> </span><span><span class="hljs-title function_ invoke__">bcmul</span></span><span>(</span><span><span class="hljs-variable">$a</span></span><span>, </span><span><span class="hljs-variable">$b</span></span><span>, </span><span><span class="hljs-variable">$scale</span></span><span>);
}
</span></span>
即使是短暫賦值或中間變量,float類型。例如::
<span><span><span class="hljs-comment">// 不推荐</span></span><span>
</span><span><span class="hljs-variable">$a</span></span><span> = </span><span><span class="hljs-number">0.123</span></span><span>;
</span><span><span class="hljs-variable">$b</span></span><span> = </span><span><span class="hljs-string">'456'</span></span><span>;
</span><span><span class="hljs-variable">$result</span></span><span> = </span><span><span class="hljs-title function_ invoke__">bcmul</span></span><span>(</span><span><span class="hljs-variable">$a</span></span><span>, </span><span><span class="hljs-variable">$b</span></span><span>, </span><span><span class="hljs-number">4</span></span><span>); </span><span><span class="hljs-comment">// 潜在精度问题</span></span><span>
</span><span><span class="hljs-comment">// 推荐</span></span><span>
</span><span><span class="hljs-variable">$a</span></span><span> = </span><span><span class="hljs-string">'0.123'</span></span><span>;
</span><span><span class="hljs-variable">$b</span></span><span> = </span><span><span class="hljs-string">'456'</span></span><span>;
</span><span><span class="hljs-variable">$result</span></span><span> = </span><span><span class="hljs-title function_ invoke__">bcmul</span></span><span>(</span><span><span class="hljs-variable">$a</span></span><span>, </span><span><span class="hljs-variable">$b</span></span><span>, </span><span><span class="hljs-number">4</span></span><span>); </span><span><span class="hljs-comment">// 安全</span></span><span>
</span></span>
對於來自gitbox.net等api的數據,常常需要做格式處理。避免直接將json bcmul:
<span><span><span class="hljs-variable">$data</span></span><span> = </span><span><span class="hljs-title function_ invoke__">json_decode</span></span><span>(</span><span><span class="hljs-title function_ invoke__">file_get_contents</span></span><span>(</span><span><span class="hljs-string">'https://gitbox.net/api/price.json'</span></span><span>), </span><span><span class="hljs-literal">true</span></span><span>);
</span><span><span class="hljs-variable">$price</span></span><span> = </span><span><span class="hljs-title function_ invoke__">strval</span></span><span>(</span><span><span class="hljs-variable">$data</span></span><span>[</span><span><span class="hljs-string">'price'</span></span><span>]);
</span><span><span class="hljs-variable">$quantity</span></span><span> = </span><span><span class="hljs-string">'3'</span></span><span>;
</span><span><span class="hljs-variable">$total</span></span><span> = </span><span><span class="hljs-title function_ invoke__">bcmul</span></span><span>(</span><span><span class="hljs-variable">$price</span></span><span>, </span><span><span class="hljs-variable">$quantity</span></span><span>, </span><span><span class="hljs-number">2</span></span><span>);
</span></span>