DanilaFe/Abacus
1
0
Fork 0
mirror of https://github.com/DanilaFe/abacus synced 2024-12-22 23:40:08 -08:00
Code Issues Releases Wiki Activity

Add fromInt function into StandardPlugin and replace existing instantiations and promotions of NaiveNumbers with integer values with fromInt calls.

Browse Source
This commit is contained in:
Arthur Drobot 2017-08-07 10:33:16 -07:00
parent fcb264d134
commit 938f902c92
1 changed files with 33 additions and 12 deletions
Show Stats Download Patch File Download Diff File Expand all files Collapse all files

45
src/main/java/org/nwapw/abacus/plugin/StandardPlugin.java
View File

@ -18,6 +18,11 @@ import java.util.function.BiFunction;
*/
public class StandardPlugin extends Plugin {
/**
* Stores objects of NumberInterface with integer values for reuse.
*/
private final static HashMap<Class<? extends NumberInterface>, HashMap<Integer, NumberInterface>> integerValues = new HashMap<>();
/**
* The addition operator, +
*/
@ -112,7 +117,7 @@ public class StandardPlugin extends Plugin {
@Override
protected NumberInterface applyInternal(NumberInterface[] params) {
if (params[0].signum() == 0) {
return (new NaiveNumber(1)).promoteTo(params[0].getClass());
return fromInt(params[0].getClass(), 1);
}
NumberInterface factorial = params[0];
NumberInterface multiplier = params[0];
@ -157,14 +162,14 @@ public class StandardPlugin extends Plugin {
int powersOf2 = 0;
while (FUNCTION_ABS.apply(param.subtract(NaiveNumber.ONE.promoteTo(param.getClass()))).compareTo(new NaiveNumber(0.1).promoteTo(param.getClass())) >= 0) {
if (param.subtract(NaiveNumber.ONE.promoteTo(param.getClass())).signum() == 1) {
param = param.divide(new NaiveNumber(2).promoteTo(param.getClass()));
param = param.divide(fromInt(param.getClass(), 2));
powersOf2++;
if (param.subtract(NaiveNumber.ONE.promoteTo(param.getClass())).signum() != 1) {
break;
//No infinite loop for you.
}
} else {
param = param.multiply(new NaiveNumber(2).promoteTo(param.getClass()));
param = param.multiply(fromInt(param.getClass(), 2));
powersOf2--;
if (param.subtract(NaiveNumber.ONE.promoteTo(param.getClass())).signum() != -1) {
break;
@ -203,17 +208,17 @@ public class StandardPlugin extends Plugin {
*/
private NumberInterface getLog2(NumberInterface number) {
NumberInterface maxError = getMaxError(number);
//NumberInterface errorBound = (new NaiveNumber(1)).promoteTo(number.getClass());
//NumberInterface errorBound = fromInt(number.getClass(), 1);
//We'll use the series \sigma_{n >= 1) ((1/3^n + 1/4^n) * 1/n)
//In the following, a=1/3^n, b=1/4^n, c = 1/n.
//a is also an error bound.
NumberInterface a = (new NaiveNumber(1)).promoteTo(number.getClass()), b = a, c = a;
NumberInterface a = fromInt(number.getClass(), 1), b = a, c = a;
NumberInterface sum = NaiveNumber.ZERO.promoteTo(number.getClass());
int n = 0;
while (a.compareTo(maxError) >= 1) {
n++;
a = a.divide((new NaiveNumber(3)).promoteTo(number.getClass()));
b = b.divide((new NaiveNumber(4)).promoteTo(number.getClass()));
a = a.divide(fromInt(number.getClass(), 3));
b = b.divide(fromInt(number.getClass(), 4));
c = NaiveNumber.ONE.promoteTo(number.getClass()).divide((new NaiveNumber(n)).promoteTo(number.getClass()));
sum = sum.add(a.add(b).multiply(c));
}
@ -311,7 +316,7 @@ public class StandardPlugin extends Plugin {
//right and left refer to lhs and rhs in the above inequality.
NumberInterface sum = NaiveNumber.ONE.promoteTo(params[0].getClass());
NumberInterface nextNumerator = params[0];
NumberInterface left = params[0].multiply((new NaiveNumber(3)).promoteTo(params[0].getClass()).intPow(params[0].ceiling().intValue())), right = maxError;
NumberInterface left = params[0].multiply(fromInt(params[0].getClass(), 3).intPow(params[0].ceiling().intValue())), right = maxError;
do {
sum = sum.add(nextNumerator.divide(factorial(params[0].getClass(), n + 1)));
n++;
@ -359,12 +364,12 @@ public class StandardPlugin extends Plugin {
@Override
protected NumberInterface applyInternal(NumberInterface[] params) {
NumberInterface pi = getPi(params[0].getClass());
NumberInterface twoPi = pi.multiply(new NaiveNumber(2).promoteTo(pi.getClass()));
NumberInterface twoPi = pi.multiply(fromInt(pi.getClass(), 2));
NumberInterface theta = getSmallAngle(params[0], pi);
//System.out.println(theta);
if (theta.compareTo(pi.multiply(new NaiveNumber(1.5).promoteTo(twoPi.getClass()))) >= 0) {
theta = theta.subtract(twoPi);
} else if (theta.compareTo(pi.divide(new NaiveNumber(2).promoteTo(pi.getClass()))) > 0) {
} else if (theta.compareTo(pi.divide(fromInt(pi.getClass(), 2))) > 0) {
theta = pi.subtract(theta);
}
//System.out.println(theta);
@ -382,7 +387,7 @@ public class StandardPlugin extends Plugin {
@Override
protected NumberInterface applyInternal(NumberInterface[] params) {
return functionSin.apply(getPi(params[0].getClass()).divide(new NaiveNumber(2).promoteTo(params[0].getClass()))
return functionSin.apply(getPi(params[0].getClass()).divide(fromInt(params[0].getClass(), 2))
.subtract(params[0]));
}
};
@ -470,7 +475,7 @@ public class StandardPlugin extends Plugin {
* @return the maximum error.
*/
private static NumberInterface getMaxError(NumberInterface number) {
return (new NaiveNumber(10)).promoteTo(number.getClass()).intPow(-number.getMaxPrecision());
return fromInt(number.getClass(), 10).intPow(-number.getMaxPrecision());
}
/**
@ -531,6 +536,22 @@ public class StandardPlugin extends Plugin {
return theta;
}
/**
* Returns a number of class numType with value n.
* @param numType class of number to return.
* @param n value of returned number.
* @return numClass instance with value n.
*/
private static NumberInterface fromInt(Class<? extends NumberInterface> numType, int n){
if(!integerValues.containsKey(numType)){
integerValues.put(numType, new HashMap<>());
}
if(!integerValues.get(numType).containsKey(n)){
integerValues.get(numType).put(n, new NaiveNumber(n).promoteTo(numType));
}
return integerValues.get(numType).get(n);
}
@Override
public void onEnable() {
registerNumberImplementation("naive", IMPLEMENTATION_NAIVE);