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functions:llpow [2014-06-13 19:56 SLT] sei [Notes] Add the newest findings |
functions:llpow [2015-02-04 13:15 SLT] (current) sei caveat: no Euler constant |
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| + | $nav | ||
| ===== Function: llPow ===== | ===== Function: llPow ===== | ||
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| ===== Return value ===== | ===== Return value ===== | ||
| - | The result of raising ''base'' to ''exp''. | + | The result of raising $prm[base] to the power $prm[exp]. |
| ===== Notes ===== | ===== Notes ===== | ||
| - | The rules are somewhat convoluted. In order: | + | * There is no function to return $econst<sup>x</sup> given //x,// and no built-in constant for $econst. Use ''llPow(2.7182818, value)'' instead. |
| - | * If either argument is **NaN**, the result is **NaN**. | + | The rules for corner cases are somewhat convoluted. In order: |
| - | * If the exponent is 0.0 or -0.0, the result is 1.0. This includes in particular the bases 0.0, **Infinity**, and **-Infinity**. | + | |
| - | * If the base is **Infinity** or **-Infinity**, and the exponent is negative, the result is 0.0. | + | * If either argument is $nan, the result is $nan. |
| - | * If the base is **-Infinity** and the exponent is positive and represents an odd integer, the result is **-Infinity**. | + | * If the exponent is 0.0 or -0.0, the result is 1.0. This includes in particular the bases 0.0, $pinf, and $minf. |
| - | * If the base is **Infinity** or **-Infinity** and the exponent is positive, the result is **Infinity**. | + | * If the base is $pinf or $minf, and the exponent is negative, the result is 0.0. |
| - | * If the base is -0.0, and the exponent is negative and represents an odd integer, the result is **-Infinity**. | + | * If the base is $minf and the exponent is positive and represents an odd integer, the result is $minf. |
| - | * If the base is 0.0 or -0.0, and the exponent is negative, the result is **Infinity**. | + | * If the base is $pinf or $minf and the exponent is positive, the result is $pinf (except in those cases which meet the previous point's condition). |
| - | * If the base is 1.0 or -1.0, and the exponent is **Infinity** or **-Infinity**, the result is **NaN**. | + | * If the base is -0.0, and the exponent is negative and represents an odd integer, the result is $minf. |
| - | * If the base is negative, the exponent must have no decimals (i.e. represent an integer number); otherwise, **NaN** is returned. | + | * If the base is 0.0 or -0.0, and the exponent is negative, the result is $pinf (except in those cases which meet the previous point's condition). |
| + | * If the base is 1.0 or -1.0, and the exponent is $pinf or $minf, the result is $nan. | ||
| + | * If the base is negative, the exponent must have no decimals (i.e. represent an integer number); otherwise, $nan is returned. | ||
| * In all other cases, the expected result (the base raised to the exponent) is returned. | * In all other cases, the expected result (the base raised to the exponent) is returned. | ||
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| ===== See also ===== | ===== See also ===== | ||
| - | * [[llLog]] calculates the natural logarithm of the input. | + | * $lfn[llLog] calculates the natural logarithm of the input. |
| - | * [[llLog10]] calculates the logarithm in base 10 of the input. | + | * $lfn[llLog10] calculates the logarithm in base 10 of the input. |
| - | * [[types/float]] type and associated caveats and limitations. | + | * $lty[float] type and associated caveats and limitations. |