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| 1 | +<?xml version="1.0" encoding="utf-8"?> |
| 2 | +<refentry xml:id="bcmath-number.pow" xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xi="http://www.w3.org/2001/XInclude"> |
| 3 | + <refnamediv> |
| 4 | + <refname>BcMath\Number::pow</refname> |
| 5 | + <refpurpose>Raises an arbitrary precision number</refpurpose> |
| 6 | + </refnamediv> |
| 7 | + |
| 8 | + <refsect1 role="description"> |
| 9 | + &reftitle.description; |
| 10 | + <methodsynopsis role="BcMath\\Number"> |
| 11 | + <modifier>public</modifier> <type>BcMath\Number</type><methodname>BcMath\Number::pow</methodname> |
| 12 | + <methodparam><type class="union"><type>BcMath\Number</type><type>string</type><type>int</type></type><parameter>exponent</parameter></methodparam> |
| 13 | + <methodparam choice="opt"><type class="union"><type>int</type><type>null</type></type><parameter>scale</parameter><initializer>&null;</initializer></methodparam> |
| 14 | + </methodsynopsis> |
| 15 | + <simpara> |
| 16 | + Raises this object to the <parameter>exponent</parameter> power. |
| 17 | + </simpara> |
| 18 | + </refsect1> |
| 19 | + |
| 20 | + <refsect1 role="parameters"> |
| 21 | + &reftitle.parameters; |
| 22 | + <variablelist> |
| 23 | + <varlistentry> |
| 24 | + <term><parameter>exponent</parameter></term> |
| 25 | + <listitem> |
| 26 | + <simpara> |
| 27 | + The exponent. Must be a value with no fractional part. |
| 28 | + The valid range of the exponent is platform specific, but is at least |
| 29 | + <literal>-2147483648</literal> to <literal>2147483647</literal>. |
| 30 | + </simpara> |
| 31 | + </listitem> |
| 32 | + </varlistentry> |
| 33 | + &bc.number.scale.description; |
| 34 | + </variablelist> |
| 35 | + </refsect1> |
| 36 | + |
| 37 | + <refsect1 role="returnvalues"> |
| 38 | + &reftitle.returnvalues; |
| 39 | + <simpara> |
| 40 | + Returns the result of power as a new <classname>BcMath\Number</classname> object. |
| 41 | + </simpara> |
| 42 | + <!-- About the operator return value --> |
| 43 | + <xi:include xpointer="xmlns(db=http://docbook.org/ns/docbook) xpointer(id('bcmath-number.add')/db:refsect1[@role='returnvalues']/db:simpara[2])" /> |
| 44 | + </refsect1> |
| 45 | + |
| 46 | + <refsect1 role="errors"> |
| 47 | + &reftitle.errors; |
| 48 | + <para> |
| 49 | + This method throws a <exceptionname>ValueError</exceptionname> in the following cases: |
| 50 | + <simplelist> |
| 51 | + <member><parameter>exponent</parameter> is <type>string</type> and not a well-formed BCMath numeric string</member> |
| 52 | + <member><parameter>exponent</parameter> has a fractional part</member> |
| 53 | + <member><parameter>scale</parameter> is outside the valid range</member> |
| 54 | + <member><property>BcMath\Number::scale</property> of the result object is outside the valid range</member> |
| 55 | + </simplelist> |
| 56 | + </para> |
| 57 | + <simpara> |
| 58 | + This method throws a <exceptionname>DivisionByZeroError</exceptionname> exception if this object's value |
| 59 | + is <literal>0</literal> and <parameter>exponent</parameter> is a negative value. |
| 60 | + </simpara> |
| 61 | + <para> |
| 62 | + When using the operator, throws a <exceptionname>ValueError</exceptionname> in the following cases: |
| 63 | + <simplelist> |
| 64 | + <member><parameter>exponent</parameter> is <type>string</type> and not a well-formed BCMath numeric string</member> |
| 65 | + <member><parameter>exponent</parameter> has a fractional part</member> |
| 66 | + <member><property>BcMath\Number::scale</property> of the result object is outside the valid range</member> |
| 67 | + </simplelist> |
| 68 | + </para> |
| 69 | + <simpara> |
| 70 | + When using the operator, throw a <exceptionname>DivisionByZeroError</exceptionname> exception If the left |
| 71 | + operand is <literal>0</literal> and the right operand is a negative value. |
| 72 | + </simpara> |
| 73 | + </refsect1> |
| 74 | + |
| 75 | + <refsect1 role="bc.autoscale"> |
| 76 | + <!-- auto scale title --> |
| 77 | + <xi:include xpointer="xmlns(db=http://docbook.org/ns/docbook) xpointer(id('bcmath-number.add')/db:refsect1[@role='bc.autoscale']/db:title)" /> |
| 78 | + <para> |
| 79 | + When the <property>BcMath\Number::scale</property> of the result object is automatically set, |
| 80 | + depending on the value of <parameter>exponent</parameter>, the <property>BcMath\Number::scale |
| 81 | + </property> of result will be as follows: |
| 82 | + <informaltable> |
| 83 | + <tgroup cols="2"> |
| 84 | + <thead> |
| 85 | + <row> |
| 86 | + <entry><parameter>exponent</parameter></entry> |
| 87 | + <entry><property>BcMath\Number::scale</property> of result</entry> |
| 88 | + </row> |
| 89 | + </thead> |
| 90 | + <tbody> |
| 91 | + <row> |
| 92 | + <entry>positive</entry> |
| 93 | + <entry>(<property>BcMath\Number::scale</property> of power base) * (<parameter>exponent</parameter>'s value)</entry> |
| 94 | + </row> |
| 95 | + <row> |
| 96 | + <entry><literal>0</literal></entry> |
| 97 | + <entry><literal>0</literal></entry> |
| 98 | + </row> |
| 99 | + <row> |
| 100 | + <entry>negative</entry> |
| 101 | + <entry>Between (<property>BcMath\Number::scale</property> of power base) and (<property>BcMath\Number::scale |
| 102 | + </property> of power base + <literal>10</literal>)</entry> |
| 103 | + </row> |
| 104 | + </tbody> |
| 105 | + </tgroup> |
| 106 | + </informaltable> |
| 107 | + </para> |
| 108 | + <simpara> |
| 109 | + If an indivisible division occurs due to a negative <parameter>exponent</parameter>, the <property> |
| 110 | + BcMath\Number::scale</property> of the result is expanded. Expansion is done only as needed, up to |
| 111 | + a maximum of +<literal>10</literal>. |
| 112 | + This behavior is the same as <methodname>BcMath\Number::div</methodname>, so please see that for details. |
| 113 | + </simpara> |
| 114 | + <!-- Regarding the handling of scale when calculating with string value --> |
| 115 | + <xi:include xpointer="xmlns(db=http://docbook.org/ns/docbook) xpointer(id('bcmath-number.add')/db:refsect1[@role='bc.autoscale']/db:simpara[3])" /> |
| 116 | + </refsect1> |
| 117 | + |
| 118 | + <refsect1 role="examples"> |
| 119 | + &reftitle.examples; |
| 120 | + <example> |
| 121 | + <title><methodname>BcMath\Number::pow</methodname> example when <parameter>scale</parameter> is not specified</title> |
| 122 | + <programlisting role="php"> |
| 123 | +<![CDATA[ |
| 124 | +<?php |
| 125 | +$number = new BcMath\Number('3.0'); |
| 126 | +
|
| 127 | +$ret1 = $number->pow(new BcMath\Number('5')); |
| 128 | +$ret2 = $number->pow('-1'); |
| 129 | +$ret3 = $number->pow(0); |
| 130 | +
|
| 131 | +var_dump($number, $ret1, $ret2, $ret3); |
| 132 | +?> |
| 133 | +]]> |
| 134 | + </programlisting> |
| 135 | + &example.outputs; |
| 136 | + <screen> |
| 137 | +<![CDATA[ |
| 138 | +object(BcMath\Number)#1 (2) { |
| 139 | + ["value"]=> |
| 140 | + string(3) "3.0" |
| 141 | + ["scale"]=> |
| 142 | + int(1) |
| 143 | +} |
| 144 | +object(BcMath\Number)#3 (2) { |
| 145 | + ["value"]=> |
| 146 | + string(9) "243.00000" |
| 147 | + ["scale"]=> |
| 148 | + int(5) |
| 149 | +} |
| 150 | +object(BcMath\Number)#2 (2) { |
| 151 | + ["value"]=> |
| 152 | + string(13) "0.33333333333" |
| 153 | + ["scale"]=> |
| 154 | + int(11) |
| 155 | +} |
| 156 | +object(BcMath\Number)#4 (2) { |
| 157 | + ["value"]=> |
| 158 | + string(1) "1" |
| 159 | + ["scale"]=> |
| 160 | + int(0) |
| 161 | +} |
| 162 | +]]> |
| 163 | + </screen> |
| 164 | + </example> |
| 165 | + |
| 166 | + <example> |
| 167 | + <title><methodname>BcMath\Number::pow</methodname> example of explicitly specifying <parameter>scale</parameter></title> |
| 168 | + <programlisting role="php"> |
| 169 | +<![CDATA[ |
| 170 | +<?php |
| 171 | +$number = new BcMath\Number('3.0'); |
| 172 | +
|
| 173 | +$ret1 = $number->pow(new BcMath\Number('5'), 0); |
| 174 | +$ret2 = $number->pow('-1', 2); |
| 175 | +$ret3 = $number->pow(0, 10); |
| 176 | +
|
| 177 | +var_dump($number, $ret1, $ret2, $ret3); |
| 178 | +?> |
| 179 | +]]> |
| 180 | + </programlisting> |
| 181 | + &example.outputs; |
| 182 | + <screen> |
| 183 | +<![CDATA[ |
| 184 | +object(BcMath\Number)#1 (2) { |
| 185 | + ["value"]=> |
| 186 | + string(3) "3.0" |
| 187 | + ["scale"]=> |
| 188 | + int(1) |
| 189 | +} |
| 190 | +object(BcMath\Number)#3 (2) { |
| 191 | + ["value"]=> |
| 192 | + string(3) "243" |
| 193 | + ["scale"]=> |
| 194 | + int(0) |
| 195 | +} |
| 196 | +object(BcMath\Number)#2 (2) { |
| 197 | + ["value"]=> |
| 198 | + string(4) "0.33" |
| 199 | + ["scale"]=> |
| 200 | + int(2) |
| 201 | +} |
| 202 | +object(BcMath\Number)#4 (2) { |
| 203 | + ["value"]=> |
| 204 | + string(12) "1.0000000000" |
| 205 | + ["scale"]=> |
| 206 | + int(10) |
| 207 | +} |
| 208 | +]]> |
| 209 | + </screen> |
| 210 | + </example> |
| 211 | + </refsect1> |
| 212 | + |
| 213 | + <refsect1 role="bc.operatoroverload"> |
| 214 | + <!-- operator overload title --> |
| 215 | + <xi:include xpointer="xmlns(db=http://docbook.org/ns/docbook) xpointer(id('bcmath-number.add')/db:refsect1[@role='bc.operatoroverload']/db:title)" /> |
| 216 | + <simpara> |
| 217 | + <classname>BcMath\Number</classname> can perform power using operators. The calculation with |
| 218 | + the operator behaves the same as when the method argument <parameter>scale</parameter> is &null;. |
| 219 | + </simpara> |
| 220 | + <example> |
| 221 | + <title>Example of power using operators</title> |
| 222 | + <programlisting role="php"> |
| 223 | +<![CDATA[ |
| 224 | +<?php |
| 225 | +$number = new BcMath\Number('3.0'); |
| 226 | +
|
| 227 | +$ret1 = $number ** new BcMath\Number('5'); |
| 228 | +$ret2 = $number ** '-1'; |
| 229 | +$ret3 = $number ** 0; |
| 230 | +
|
| 231 | +var_dump($number, $ret1, $ret2, $ret3); |
| 232 | +?> |
| 233 | +]]> |
| 234 | + </programlisting> |
| 235 | + &example.outputs; |
| 236 | + <screen> |
| 237 | +<![CDATA[ |
| 238 | +object(BcMath\Number)#1 (2) { |
| 239 | + ["value"]=> |
| 240 | + string(3) "3.0" |
| 241 | + ["scale"]=> |
| 242 | + int(1) |
| 243 | +} |
| 244 | +object(BcMath\Number)#3 (2) { |
| 245 | + ["value"]=> |
| 246 | + string(9) "243.00000" |
| 247 | + ["scale"]=> |
| 248 | + int(5) |
| 249 | +} |
| 250 | +object(BcMath\Number)#2 (2) { |
| 251 | + ["value"]=> |
| 252 | + string(13) "0.33333333333" |
| 253 | + ["scale"]=> |
| 254 | + int(11) |
| 255 | +} |
| 256 | +object(BcMath\Number)#4 (2) { |
| 257 | + ["value"]=> |
| 258 | + string(1) "1" |
| 259 | + ["scale"]=> |
| 260 | + int(0) |
| 261 | +} |
| 262 | +]]> |
| 263 | + </screen> |
| 264 | + </example> |
| 265 | + |
| 266 | + <example> |
| 267 | + <title>Examples of shorthand power using operators</title> |
| 268 | + <programlisting role="php"> |
| 269 | +<![CDATA[ |
| 270 | +<?php |
| 271 | +$number = new BcMath\Number('1.2'); |
| 272 | +$num1 = $number; |
| 273 | +$num2 = $number; |
| 274 | +$num3 = $number; |
| 275 | +
|
| 276 | +$num1 **= new BcMath\Number('2'); |
| 277 | +$num2 **= '-1'; |
| 278 | +$num3 **= 0; |
| 279 | +
|
| 280 | +var_dump($number, $num1, $num2, $num3); |
| 281 | +?> |
| 282 | +]]> |
| 283 | + </programlisting> |
| 284 | + &example.outputs; |
| 285 | + <screen> |
| 286 | +<![CDATA[ |
| 287 | +object(BcMath\Number)#1 (2) { |
| 288 | + ["value"]=> |
| 289 | + string(3) "1.2" |
| 290 | + ["scale"]=> |
| 291 | + int(1) |
| 292 | +} |
| 293 | +object(BcMath\Number)#3 (2) { |
| 294 | + ["value"]=> |
| 295 | + string(4) "1.44" |
| 296 | + ["scale"]=> |
| 297 | + int(2) |
| 298 | +} |
| 299 | +object(BcMath\Number)#2 (2) { |
| 300 | + ["value"]=> |
| 301 | + string(13) "0.83333333333" |
| 302 | + ["scale"]=> |
| 303 | + int(11) |
| 304 | +} |
| 305 | +object(BcMath\Number)#4 (2) { |
| 306 | + ["value"]=> |
| 307 | + string(1) "1" |
| 308 | + ["scale"]=> |
| 309 | + int(0) |
| 310 | +} |
| 311 | +]]> |
| 312 | + </screen> |
| 313 | + </example> |
| 314 | + </refsect1> |
| 315 | + |
| 316 | + <refsect1 role="seealso"> |
| 317 | + &reftitle.seealso; |
| 318 | + <simplelist> |
| 319 | + <member><function>bcpow</function></member> |
| 320 | + <member><methodname>BcMath\Number::powmod</methodname></member> |
| 321 | + <member><methodname>BcMath\Number::mul</methodname></member> |
| 322 | + <member><methodname>BcMath\Number::sqrt</methodname></member> |
| 323 | + <member><methodname>BcMath\Number::div</methodname></member> |
| 324 | + </simplelist> |
| 325 | + </refsect1> |
| 326 | + |
| 327 | +</refentry> |
| 328 | +<!-- Keep this comment at the end of the file |
| 329 | +Local variables: |
| 330 | +mode: sgml |
| 331 | +sgml-omittag:t |
| 332 | +sgml-shorttag:t |
| 333 | +sgml-minimize-attributes:nil |
| 334 | +sgml-always-quote-attributes:t |
| 335 | +sgml-indent-step:1 |
| 336 | +sgml-indent-data:t |
| 337 | +indent-tabs-mode:nil |
| 338 | +sgml-parent-document:nil |
| 339 | +sgml-default-dtd-file:"~/.phpdoc/manual.ced" |
| 340 | +sgml-exposed-tags:nil |
| 341 | +sgml-local-catalogs:nil |
| 342 | +sgml-local-ecat-files:nil |
| 343 | +End: |
| 344 | +vim600: syn=xml fen fdm=syntax fdl=2 si |
| 345 | +vim: et tw=78 syn=sgml |
| 346 | +vi: ts=1 sw=1 |
| 347 | +--> |
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