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Approximation of exponential function and pow function in Java
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/** | |
* Approximation of the Exponential Function | |
* | |
* http://martin.ankerl.com/2007/02/11/optimized-exponential-functions-for-java/ | |
* http://nic.schraudolph.org/pubs/Schraudolph99.pdf | |
*/ | |
private static double exp(final double val) { | |
long tmp = (long) (1512775 * val + (1072693248 - 60801)); | |
return Double.longBitsToDouble(tmp << 32); | |
} | |
/** | |
* Approximation of pow() function | |
* | |
* http://martin.ankerl.com/2007/10/04/optimized-pow-approximation-for-java-and-c-c/ | |
*/ | |
public static double pow1(final double a, final double b) { | |
final int x = (int) (Double.doubleToLongBits(a) << 32); | |
final int y = (int) (b * (x - 1072632447) + 1072632447); | |
return Double.longBitsToDouble(((long) y) << 32); | |
} | |
public static double pow2(final double a, final double b) { | |
final long tmp = Double.doubleToLongBits(a); | |
final long tmp2 = (long)(b * (tmp - 4606921280493453312L)) + 4606921280493453312L; | |
return Double.longBitsToDouble(tmp2); | |
} |
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