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8234697: Generate sun.security.util.math.intpoly classes during build

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Reviewed-by: erikj, mullan
This commit is contained in:
Weijun Wang 2019-12-14 13:50:34 +08:00
parent 6ccfc65ec3
commit 1ae2478404
10 changed files with 196 additions and 4226 deletions
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3
make/ToolsJdk.gmk
View File

@ -106,6 +106,9 @@ TOOL_OSX_TOBIN = $(JAVA_SMALL) -Djava.awt.headless=true -cp $(BUILDTOOLS_OUTPUTD
TOOL_CLDRCONVERTER = $(JAVA_SMALL) -cp $(BUILDTOOLS_OUTPUTDIR)/jdk_tools_classes \
build.tools.cldrconverter.CLDRConverter
TOOL_INTPOLY = $(JAVA_SMALL) -cp $(BUILDTOOLS_OUTPUTDIR)/jdk_tools_classes \
build.tools.intpoly.FieldGen
TOOL_GENERATELSREQUIVMAPS = $(JAVA_SMALL) -cp $(BUILDTOOLS_OUTPUTDIR)/jdk_tools_classes \
build.tools.generatelsrequivmaps.EquivMapsGenerator

15
make/gensrc/Gensrc-java.base.gmk
View File

@ -100,6 +100,21 @@ GENSRC_JAVA_BASE += $(GENSRC_LSREQUIVMAPS)
################################################################################
INTPOLY_GEN_DONE := $(GENSRC_DIR)/_intpoly-gensrc.marker
INTPOLY_HEADER := $(TOPDIR)/make/jdk/src/classes/build/tools/intpoly/header.txt
$(INTPOLY_GEN_DONE): $(INTPLOY_HEADER) $(BUILD_TOOLS_JDK)
$(call MakeDir, $(GENSRC_DIR))
$(call LogInfo, Generating fixed-field math classes for java.base)
$(call ExecuteWithLog, $@, \
$(TOOL_INTPOLY) \
$(INTPOLY_HEADER) \
$(GENSRC_DIR)) $(LOG_DEBUG)
$(TOUCH) $@
GENSRC_JAVA_BASE += $(INTPOLY_GEN_DONE)
################################################################################
java.base: $(GENSRC_JAVA_BASE)
all: java.base

284
src/java.base/share/classes/sun/security/util/math/intpoly/FieldGen.jsh → make/jdk/src/classes/build/tools/intpoly/FieldGen.java
View File

@ -1,5 +1,5 @@
/*
* Copyright (c) 2018, Oracle and/or its affiliates. All rights reserved.
* Copyright (c) 2018, 2019, Oracle and/or its affiliates. All rights reserved.
* DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER.
*
* This code is free software; you can redistribute it and/or modify it
@ -24,23 +24,23 @@
/*
* This file is used to generated optimized finite field implementations.
* Required settings are included in the file. To generate, use jshell:
* jshell < FieldGen.jsh
*/
package build.tools.intpoly;
import java.io.*;
import java.math.BigInteger;
import java.nio.file.Files;
import java.nio.file.Paths;
import java.nio.file.Path;
import java.util.*;
public class FieldGen {
static FieldParams Curve25519 = new FieldParams("IntegerPolynomial25519", 26, 10, 1, 255,
Arrays.asList(
new Term(0, -19)
),
Curve25519CrSequence(), simpleSmallCrSequence(10)
static FieldParams Curve25519 = new FieldParams(
"IntegerPolynomial25519", 26, 10, 1, 255,
Arrays.asList(
new Term(0, -19)
),
Curve25519CrSequence(), simpleSmallCrSequence(10)
);
private static List<CarryReduce> Curve25519CrSequence() {
@ -65,12 +65,13 @@ public class FieldGen {
return result;
}
static FieldParams Curve448 = new FieldParams("IntegerPolynomial448", 28, 16, 1, 448,
Arrays.asList(
new Term(224, -1),
new Term(0, -1)
),
Curve448CrSequence(), simpleSmallCrSequence(16)
static FieldParams Curve448 = new FieldParams(
"IntegerPolynomial448", 28, 16, 1, 448,
Arrays.asList(
new Term(224, -1),
new Term(0, -1)
),
Curve448CrSequence(), simpleSmallCrSequence(16)
);
private static List<CarryReduce> Curve448CrSequence() {
@ -100,14 +101,15 @@ public class FieldGen {
return result;
}
static FieldParams P256 = new FieldParams("IntegerPolynomialP256", 26, 10, 2, 256,
Arrays.asList(
new Term(224, -1),
new Term(192, 1),
new Term(96, 1),
new Term(0, -1)
),
P256CrSequence(), simpleSmallCrSequence(10)
static FieldParams P256 = new FieldParams(
"IntegerPolynomialP256", 26, 10, 2, 256,
Arrays.asList(
new Term(224, -1),
new Term(192, 1),
new Term(96, 1),
new Term(0, -1)
),
P256CrSequence(), simpleSmallCrSequence(10)
);
private static List<CarryReduce> P256CrSequence() {
@ -117,14 +119,15 @@ public class FieldGen {
return result;
}
static FieldParams P384 = new FieldParams("IntegerPolynomialP384", 28, 14, 2, 384,
Arrays.asList(
new Term(128, -1),
new Term(96, -1),
new Term(32, 1),
new Term(0, -1)
),
P384CrSequence(), simpleSmallCrSequence(14)
static FieldParams P384 = new FieldParams(
"IntegerPolynomialP384", 28, 14, 2, 384,
Arrays.asList(
new Term(128, -1),
new Term(96, -1),
new Term(32, 1),
new Term(0, -1)
),
P384CrSequence(), simpleSmallCrSequence(14)
);
private static List<CarryReduce> P384CrSequence() {
@ -134,8 +137,12 @@ public class FieldGen {
return result;
}
static FieldParams P521 = new FieldParams("IntegerPolynomialP521", 28, 19, 2, 521,
Arrays.asList(new Term(0, -1)), P521CrSequence(), simpleSmallCrSequence(19)
static FieldParams P521 = new FieldParams(
"IntegerPolynomialP521", 28, 19, 2, 521,
Arrays.asList(
new Term(0, -1)
),
P521CrSequence(), simpleSmallCrSequence(19)
);
private static List<CarryReduce> P521CrSequence() {
@ -145,19 +152,22 @@ public class FieldGen {
return result;
}
static FieldParams O256 = new FieldParams("P256OrderField", 26, 10, 1, 256,
new BigInteger("26959946660873538059280334323273029441504803697035324946844617595567"),
orderFieldCrSequence(10), orderFieldSmallCrSequence(10)
static FieldParams O256 = new FieldParams(
"P256OrderField", 26, 10, 1, 256,
"FFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E84F3B9CAC2FC632551",
orderFieldCrSequence(10), orderFieldSmallCrSequence(10)
);
static FieldParams O384 = new FieldParams("P384OrderField", 28, 14, 1, 384,
new BigInteger("1388124618062372383947042015309946732620727252194336364173"),
orderFieldCrSequence(14), orderFieldSmallCrSequence(14)
static FieldParams O384 = new FieldParams(
"P384OrderField", 28, 14, 1, 384,
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC7634D81F4372DDF581A0DB248B0A77AECEC196ACCC52973",
orderFieldCrSequence(14), orderFieldSmallCrSequence(14)
);
static FieldParams O521 = new FieldParams("P521OrderField", 28, 19, 1, 521,
new BigInteger("657877501894328237357444332315020117536923257219387276263472201219398408051703"),
o521crSequence(19), orderFieldSmallCrSequence(19)
static FieldParams O521 = new FieldParams(
"P521OrderField", 28, 19, 1, 521,
"01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFA51868783BF2F966B7FCC0148F709A5D03BB5C9B8899C47AEBB6FB71E91386409",
o521crSequence(19), orderFieldSmallCrSequence(19)
);
private static List<CarryReduce> o521crSequence(int numLimbs) {
@ -165,7 +175,7 @@ public class FieldGen {
// split the full reduce in half, with a carry in between
List<CarryReduce> result = new ArrayList<CarryReduce>();
result.addAll(fullCarry(2 * numLimbs));
for (int i = 2 * numLimbs - 1; i >= numLimbs + numLimbs/2; i--) {
for (int i = 2 * numLimbs - 1; i >= numLimbs + numLimbs / 2; i--) {
result.add(new Reduce(i));
}
// carry
@ -173,7 +183,7 @@ public class FieldGen {
result.add(new Carry(i));
}
// rest of reduce
for (int i = numLimbs + numLimbs/2 - 1; i >= numLimbs; i--) {
for (int i = numLimbs + numLimbs / 2 - 1; i >= numLimbs; i--) {
result.add(new Reduce(i));
}
result.addAll(orderFieldSmallCrSequence(numLimbs));
@ -192,7 +202,8 @@ public class FieldGen {
return result;
}
private static List<CarryReduce> orderFieldSmallCrSequence(int numLimbs) {
private static List<CarryReduce> orderFieldSmallCrSequence(int numLimbs) {
List<CarryReduce> result = new ArrayList<CarryReduce>();
result.addAll(fullCarry(numLimbs + 1));
result.add(new Reduce(numLimbs));
@ -200,7 +211,9 @@ public class FieldGen {
return result;
}
static final FieldParams[] ALL_FIELDS = {P256, P384, P521, O256, O384, O521};
static final FieldParams[] ALL_FIELDS = {
P256, P384, P521, O256, O384, O521,
};
public static class Term {
private final int power;
@ -220,9 +233,13 @@ public class FieldGen {
}
public BigInteger getValue() {
return BigInteger.valueOf(2).pow(power).multiply(BigInteger.valueOf(coefficient));
return BigInteger.valueOf(2).pow(power)
.multiply(BigInteger.valueOf(coefficient));
}
public String toString() {
return "2^" + power + " * " + coefficient;
}
}
static abstract class CarryReduce {
@ -236,7 +253,8 @@ public class FieldGen {
return index;
}
public abstract void write(CodeBuffer out, FieldParams params, String prefix, Iterable<CarryReduce> remaining);
public abstract void write(CodeBuffer out, FieldParams params,
String prefix, Iterable<CarryReduce> remaining);
}
static class Carry extends CarryReduce {
@ -244,7 +262,8 @@ public class FieldGen {
super(index);
}
public void write(CodeBuffer out, FieldParams params, String prefix, Iterable<CarryReduce> remaining) {
public void write(CodeBuffer out, FieldParams params, String prefix,
Iterable<CarryReduce> remaining) {
carry(out, params, prefix, getIndex());
}
}
@ -254,7 +273,8 @@ public class FieldGen {
super(index);
}
public void write(CodeBuffer out, FieldParams params, String prefix, Iterable<CarryReduce> remaining) {
public void write(CodeBuffer out, FieldParams params, String prefix,
Iterable<CarryReduce> remaining) {
reduce(out, params, prefix, getIndex(), remaining);
}
}
@ -269,8 +289,10 @@ public class FieldGen {
private final List<CarryReduce> crSequence;
private final List<CarryReduce> smallCrSequence;
public FieldParams(String className, int bitsPerLimb, int numLimbs, int maxAdds, int power,
Iterable<Term> terms, List<CarryReduce> crSequence, List<CarryReduce> smallCrSequence) {
public FieldParams(String className, int bitsPerLimb, int numLimbs,
int maxAdds, int power,
Iterable<Term> terms, List<CarryReduce> crSequence,
List<CarryReduce> smallCrSequence) {
this.className = className;
this.bitsPerLimb = bitsPerLimb;
this.numLimbs = numLimbs;
@ -281,8 +303,10 @@ public class FieldGen {
this.smallCrSequence = smallCrSequence;
}
public FieldParams(String className, int bitsPerLimb, int numLimbs, int maxAdds, int power,
BigInteger term, List<CarryReduce> crSequence, List<CarryReduce> smallCrSequence) {
public FieldParams(String className, int bitsPerLimb, int numLimbs,
int maxAdds, int power,
String term, List<CarryReduce> crSequence,
List<CarryReduce> smallCrSequence) {
this.className = className;
this.bitsPerLimb = bitsPerLimb;
this.numLimbs = numLimbs;
@ -291,11 +315,13 @@ public class FieldGen {
this.crSequence = crSequence;
this.smallCrSequence = smallCrSequence;
terms = buildTerms(term);
terms = buildTerms(BigInteger.ONE.shiftLeft(power)
.subtract(new BigInteger(term, 16)));
}
private Iterable<Term> buildTerms(BigInteger sub) {
// split a large subtrahend into smaller terms that are aligned with limbs
// split a large subtrahend into smaller terms
// that are aligned with limbs
List<Term> result = new ArrayList<Term>();
BigInteger mod = BigInteger.valueOf(1 << bitsPerLimb);
int termIndex = 0;
@ -312,7 +338,7 @@ public class FieldGen {
}
sub = sub.shiftRight(bitsPerLimb);
if (plusOne) {
sub = sub.add(BigInteger.ONE);
sub = sub.add(BigInteger.ONE);
}
++termIndex;
}
@ -370,7 +396,7 @@ public class FieldGen {
static List<CarryReduce> simpleCrSequence(int numLimbs) {
List<CarryReduce> result = new ArrayList<CarryReduce>();
for(int i = 0; i < 4; i++) {
for (int i = 0; i < 4; i++) {
result.addAll(fullCarry(2 * numLimbs - 1));
result.addAll(fullReduce(numLimbs));
}
@ -394,15 +420,30 @@ public class FieldGen {
private final String packageName;
private final String parentName;
public FieldGen(String packageName, String parentName) {
private final Path headerPath;
private final Path destPath;
public FieldGen(String packageName, String parentName,
Path headerPath, Path destRoot) throws IOException {
this.packageName = packageName;
this.parentName = parentName;
this.headerPath = headerPath;
this.destPath = destRoot.resolve(packageName.replace(".", "/"));
Files.createDirectories(destPath);
}
// args: header.txt destpath
public static void main(String[] args) throws Exception {
FieldGen gen = new FieldGen("sun.security.util.math.intpoly", "IntegerPolynomial");
for(FieldParams p : ALL_FIELDS) {
FieldGen gen = new FieldGen(
"sun.security.util.math.intpoly",
"IntegerPolynomial",
Path.of(args[0]),
Path.of(args[1]));
for (FieldParams p : ALL_FIELDS) {
System.out.println(p.className);
System.out.println(p.terms);
System.out.println();
gen.generateFile(p);
}
}
@ -410,7 +451,8 @@ public class FieldGen {
private void generateFile(FieldParams params) throws IOException {
String text = generate(params);
String fileName = params.getClassName() + ".java";
PrintWriter out = new PrintWriter(new FileWriter(fileName));
PrintWriter out = new PrintWriter(Files.newBufferedWriter(
destPath.resolve(fileName)));
out.println(text);
out.close();
}
@ -421,7 +463,7 @@ public class FieldGen {
private Set<String> temporaries = new HashSet<String>();
private StringBuffer buffer = new StringBuffer();
private int indent = 0;
private Class lastCR;
private Class<?> lastCR;
private int lastCrCount = 0;
private int crMethodBreakCount = 0;
private int crNumLimbs = 0;
@ -458,12 +500,13 @@ public class FieldGen {
crMethodBreakCount = 0;
lastCR = null;
}
/*
* Record a carry/reduce of the specified type. This method is used to
* break up large carry/reduce sequences into multiple methods to make
* JIT/optimization easier
*/
public void record(Class type) {
public void record(Class<?> type) {
if (type == lastCR) {
lastCrCount++;
} else {
@ -484,7 +527,7 @@ public class FieldGen {
// call the new method
appendIndent();
append("carryReduce" + crMethodBreakCount + "(r");
for(int i = 0; i < crNumLimbs; i++) {
for (int i = 0; i < crNumLimbs; i++) {
append(", c" + i);
}
// temporaries are not live between operations, no need to send
@ -496,13 +539,13 @@ public class FieldGen {
// make the method
appendIndent();
append("void carryReduce" + crMethodBreakCount + "(long[] r");
for(int i = 0; i < crNumLimbs; i++) {
append (", long c" + i);
for (int i = 0; i < crNumLimbs; i++) {
append(", long c" + i);
}
append(") {\n");
incrIndent();
// declare temporaries
for(String temp : temporaries) {
for (String temp : temporaries) {
appendLine("long " + temp + ";");
}
append("\n");
@ -512,7 +555,7 @@ public class FieldGen {
public String getTemporary(String type, String value) {
Iterator<String> iter = temporaries.iterator();
if(iter.hasNext()) {
if (iter.hasNext()) {
String result = iter.next();
iter.remove();
appendLine(result + " = " + value + ";");
@ -529,7 +572,7 @@ public class FieldGen {
}
public void appendIndent() {
for(int i = 0; i < indent; i++) {
for (int i = 0; i < indent; i++) {
buffer.append(" ");
}
}
@ -550,16 +593,23 @@ public class FieldGen {
}
result.appendLine("import java.math.BigInteger;");
result.appendLine("public class " + params.getClassName() + " extends " + this.parentName + " {");
result.appendLine("public class " + params.getClassName()
+ " extends " + this.parentName + " {");
result.incrIndent();
result.appendLine("private static final int BITS_PER_LIMB = " + params.getBitsPerLimb() + ";");
result.appendLine("private static final int NUM_LIMBS = " + params.getNumLimbs() + ";");
result.appendLine("private static final int MAX_ADDS = " + params.getMaxAdds() + ";");
result.appendLine("public static final BigInteger MODULUS = evaluateModulus();");
result.appendLine("private static final long CARRY_ADD = 1 << " + (params.getBitsPerLimb() - 1) + ";");
result.appendLine("private static final int BITS_PER_LIMB = "
+ params.getBitsPerLimb() + ";");
result.appendLine("private static final int NUM_LIMBS = "
+ params.getNumLimbs() + ";");
result.appendLine("private static final int MAX_ADDS = "
+ params.getMaxAdds() + ";");
result.appendLine(
"public static final BigInteger MODULUS = evaluateModulus();");
result.appendLine("private static final long CARRY_ADD = 1 << "
+ (params.getBitsPerLimb() - 1) + ";");
if (params.getBitsPerLimb() * params.getNumLimbs() != params.getPower()) {
result.appendLine("private static final int LIMB_MASK = -1 >>> (64 - BITS_PER_LIMB);");
result.appendLine("private static final int LIMB_MASK = -1 "
+ ">>> (64 - BITS_PER_LIMB);");
}
int termIndex = 0;
@ -571,8 +621,9 @@ public class FieldGen {
result.appendLine("private static BigInteger evaluateModulus() {");
result.incrIndent();
result.appendLine("BigInteger result = BigInteger.valueOf(2).pow(" + params.getPower() + ");");
for(Term t : params.getTerms()) {
result.appendLine("BigInteger result = BigInteger.valueOf(2).pow("
+ params.getPower() + ");");
for (Term t : params.getTerms()) {
boolean subtract = false;
int coefValue = t.getCoefficient();
if (coefValue < 0) {
@ -602,14 +653,18 @@ public class FieldGen {
result.appendLine("@Override");
result.appendLine("protected void finalCarryReduceLast(long[] limbs) {");
result.incrIndent();
int extraBits = params.getBitsPerLimb() * params.getNumLimbs() - params.getPower();
int extraBits = params.getBitsPerLimb() * params.getNumLimbs()
- params.getPower();
int highBits = params.getBitsPerLimb() - extraBits;
result.appendLine("long c = limbs[" + (params.getNumLimbs() - 1) + "] >> " + highBits + ";");
result.appendLine("limbs[" + (params.getNumLimbs() - 1) + "] -= c << " + highBits + ";");
result.appendLine("long c = limbs[" + (params.getNumLimbs() - 1)
+ "] >> " + highBits + ";");
result.appendLine("limbs[" + (params.getNumLimbs() - 1) + "] -= c << "
+ highBits + ";");
for (Term t : params.getTerms()) {
int reduceBits = params.getPower() + extraBits - t.getPower();
int negatedCoefficient = -1 * t.getCoefficient();
modReduceInBits(result, params, true, "limbs", params.getNumLimbs(), reduceBits, negatedCoefficient, "c");
modReduceInBits(result, params, true, "limbs", params.getNumLimbs(),
reduceBits, negatedCoefficient, "c");
}
result.decrIndent();
result.appendLine("}");
@ -617,8 +672,8 @@ public class FieldGen {
// full carry/reduce sequence
result.appendIndent();
result.append("private void carryReduce(long[] r, ");
for(int i = 0; i < 2 * params.getNumLimbs() - 1; i++) {
result.append ("long c" + i);
for (int i = 0; i < 2 * params.getNumLimbs() - 1; i++) {
result.append("long c" + i);
if (i < 2 * params.getNumLimbs() - 2) {
result.append(", ");
}
@ -627,7 +682,8 @@ public class FieldGen {
result.newTempScope();
result.incrIndent();
result.appendLine("long c" + (2 * params.getNumLimbs() - 1) + " = 0;");
write(result, params.getCrSequence(), params, "c", 2 * params.getNumLimbs());
write(result, params.getCrSequence(), params, "c",
2 * params.getNumLimbs());
result.appendLine();
for (int i = 0; i < params.getNumLimbs(); i++) {
result.appendLine("r[" + i + "] = c" + i + ";");
@ -638,8 +694,8 @@ public class FieldGen {
// small carry/reduce sequence
result.appendIndent();
result.append("private void carryReduce(long[] r, ");
for(int i = 0; i < params.getNumLimbs(); i++) {
result.append ("long c" + i);
for (int i = 0; i < params.getNumLimbs(); i++) {
result.append("long c" + i);
if (i < params.getNumLimbs() - 1) {
result.append(", ");
}
@ -648,7 +704,8 @@ public class FieldGen {
result.newTempScope();
result.incrIndent();
result.appendLine("long c" + params.getNumLimbs() + " = 0;");
write(result, params.getSmallCrSequence(), params, "c", params.getNumLimbs() + 1);
write(result, params.getSmallCrSequence(), params,
"c", params.getNumLimbs() + 1);
result.appendLine();
for (int i = 0; i < params.getNumLimbs(); i++) {
result.appendLine("r[" + i + "] = c" + i + ";");
@ -727,7 +784,7 @@ public class FieldGen {
if (jDiff % 2 == 1) {
int aIndex = i / 2;
if (jDiff > 1) {
result.append (" + ");
result.append(" + ");
}
result.append("(a[" + aIndex + "] * a[" + aIndex + "])");
}
@ -752,7 +809,8 @@ public class FieldGen {
return result.toString();
}
private static void write(CodeBuffer out, List<CarryReduce> sequence, FieldParams params, String prefix, int numLimbs) {
private static void write(CodeBuffer out, List<CarryReduce> sequence,
FieldParams params, String prefix, int numLimbs) {
out.startCrSequence(numLimbs);
for (int i = 0; i < sequence.size(); i++) {
@ -764,7 +822,8 @@ public class FieldGen {
}
}
private static void reduce(CodeBuffer out, FieldParams params, String prefix, int index, Iterable<CarryReduce> remaining) {
private static void reduce(CodeBuffer out, FieldParams params,
String prefix, int index, Iterable<CarryReduce> remaining) {
out.record(Reduce.class);
@ -772,35 +831,40 @@ public class FieldGen {
String reduceFrom = indexedExpr(false, prefix, index);
boolean referenced = false;
for (CarryReduce cr : remaining) {
if(cr.index == index) {
if (cr.index == index) {
referenced = true;
}
}
for (Term t : params.getTerms()) {
int reduceBits = params.getPower() - t.getPower();
int negatedCoefficient = -1 * t.getCoefficient();
modReduceInBits(out, params, false, prefix, index, reduceBits, negatedCoefficient, reduceFrom);
modReduceInBits(out, params, false, prefix, index, reduceBits,
negatedCoefficient, reduceFrom);
}
if (referenced) {
out.appendLine(reduceFrom + " = 0;");
}
}
private static void carry(CodeBuffer out, FieldParams params, String prefix, int index) {
private static void carry(CodeBuffer out, FieldParams params,
String prefix, int index) {
out.record(Carry.class);
out.appendLine("//carry from position " + index);
String carryFrom = prefix + index;
String carryTo = prefix + (index + 1);
String carry = "(" + carryFrom + " + CARRY_ADD) >> " + params.getBitsPerLimb();
String carry = "(" + carryFrom + " + CARRY_ADD) >> "
+ params.getBitsPerLimb();
String temp = out.getTemporary("long", carry);
out.appendLine(carryFrom + " -= (" + temp + " << " + params.getBitsPerLimb() + ");");
out.appendLine(carryFrom + " -= (" + temp + " << "
+ params.getBitsPerLimb() + ");");
out.appendLine(carryTo + " += " + temp + ";");
out.freeTemporary(temp);
}
private static String indexedExpr(boolean isArray, String prefix, int index) {
private static String indexedExpr(
boolean isArray, String prefix, int index) {
String result = prefix + index;
if (isArray) {
result = prefix + "[" + index + "]";
@ -808,7 +872,9 @@ public class FieldGen {
return result;
}
private static void modReduceInBits(CodeBuffer result, FieldParams params, boolean isArray, String prefix, int index, int reduceBits, int coefficient, String c) {
private static void modReduceInBits(CodeBuffer result, FieldParams params,
boolean isArray, String prefix, int index, int reduceBits,
int coefficient, String c) {
String x = coefficient + " * " + c;
String accOp = "+=";
@ -825,13 +891,19 @@ public class FieldGen {
if (reduceBits % params.getBitsPerLimb() == 0) {
int pos = reduceBits / params.getBitsPerLimb();
result.appendLine(indexedExpr(isArray, prefix, (index - pos)) + " " + accOp + " " + x + ";");
result.appendLine(indexedExpr(isArray, prefix, (index - pos))
+ " " + accOp + " " + x + ";");
} else {
int secondPos = reduceBits / params.getBitsPerLimb();
int bitOffset = (secondPos + 1) * params.getBitsPerLimb() - reduceBits;
int bitOffset = (secondPos + 1) * params.getBitsPerLimb()
- reduceBits;
int rightBitOffset = params.getBitsPerLimb() - bitOffset;
result.appendLine(indexedExpr(isArray, prefix, (index - (secondPos + 1))) + " " + accOp + " (" + x + " << " + bitOffset + ") & LIMB_MASK;");
result.appendLine(indexedExpr(isArray, prefix, (index - secondPos)) + " " + accOp + " " + x + " >> " + rightBitOffset + ";");
result.appendLine(indexedExpr(isArray, prefix,
(index - (secondPos + 1))) + " " + accOp
+ " (" + x + " << " + bitOffset + ") & LIMB_MASK;");
result.appendLine(indexedExpr(isArray, prefix,
(index - secondPos)) + " " + accOp + " " + x
+ " >> " + rightBitOffset + ";");
}
if (temp != null) {
@ -840,12 +912,10 @@ public class FieldGen {
}
private String readHeader() throws IOException {
BufferedReader reader = Files.newBufferedReader(Paths.get("header.txt"));
BufferedReader reader
= Files.newBufferedReader(headerPath);
StringBuffer result = new StringBuffer();
reader.lines().forEach(s -> result.append(s + "\n"));
return result.toString();
}
}
FieldGen.main(null);

2
src/java.base/share/classes/sun/security/util/math/intpoly/header.txt → make/jdk/src/classes/build/tools/intpoly/header.txt
View File

@ -24,5 +24,5 @@
*/
/*
* This file is generated by FieldGen.jsh. Do not modify it directly.
* This file is generated by FieldGen.java. Do not modify it directly.
*/

339
src/java.base/share/classes/sun/security/util/math/intpoly/IntegerPolynomialP256.java
View File

@ -1,339 +0,0 @@
/*
* Copyright (c) 2018, Oracle and/or its affiliates. All rights reserved.
* DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER.
*
* This code is free software; you can redistribute it and/or modify it
* under the terms of the GNU General Public License version 2 only, as
* published by the Free Software Foundation. Oracle designates this
* particular file as subject to the "Classpath" exception as provided
* by Oracle in the LICENSE file that accompanied this code.
*
* This code is distributed in the hope that it will be useful, but WITHOUT
* ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
* FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
* version 2 for more details (a copy is included in the LICENSE file that
* accompanied this code).
*
* You should have received a copy of the GNU General Public License version
* 2 along with this work; if not, write to the Free Software Foundation,
* Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA.
*
* Please contact Oracle, 500 Oracle Parkway, Redwood Shores, CA 94065 USA
* or visit www.oracle.com if you need additional information or have any
* questions.
*/
/*
* This file is generated by FieldGen.jsh. Do not modify it directly.
*/
package sun.security.util.math.intpoly;
import java.math.BigInteger;
public class IntegerPolynomialP256 extends IntegerPolynomial {
private static final int BITS_PER_LIMB = 26;
private static final int NUM_LIMBS = 10;
private static final int MAX_ADDS = 2;
public static final BigInteger MODULUS = evaluateModulus();
private static final long CARRY_ADD = 1 << 25;
private static final int LIMB_MASK = -1 >>> (64 - BITS_PER_LIMB);
public IntegerPolynomialP256() {
super(BITS_PER_LIMB, NUM_LIMBS, MAX_ADDS, MODULUS);
}
private static BigInteger evaluateModulus() {
BigInteger result = BigInteger.valueOf(2).pow(256);
result = result.subtract(BigInteger.valueOf(2).pow(224));
result = result.add(BigInteger.valueOf(2).pow(192));
result = result.add(BigInteger.valueOf(2).pow(96));
result = result.subtract(BigInteger.valueOf(1));
return result;
}
@Override
protected void finalCarryReduceLast(long[] limbs) {
long c = limbs[9] >> 22;
limbs[9] -= c << 22;
limbs[8] += (c << 16) & LIMB_MASK;
limbs[9] += c >> 10;
limbs[7] -= (c << 10) & LIMB_MASK;
limbs[8] -= c >> 16;
limbs[3] -= (c << 18) & LIMB_MASK;
limbs[4] -= c >> 8;
limbs[0] += c;
}
private void carryReduce(long[] r, long c0, long c1, long c2, long c3, long c4, long c5, long c6, long c7, long c8, long c9, long c10, long c11, long c12, long c13, long c14, long c15, long c16, long c17, long c18) {
long c19 = 0;
//reduce from position 18
c16 += (c18 << 20) & LIMB_MASK;
c17 += c18 >> 6;
c15 -= (c18 << 14) & LIMB_MASK;
c16 -= c18 >> 12;
c11 -= (c18 << 22) & LIMB_MASK;
c12 -= c18 >> 4;
c8 += (c18 << 4) & LIMB_MASK;
c9 += c18 >> 22;
//reduce from position 17
c15 += (c17 << 20) & LIMB_MASK;
c16 += c17 >> 6;
c14 -= (c17 << 14) & LIMB_MASK;
c15 -= c17 >> 12;
c10 -= (c17 << 22) & LIMB_MASK;
c11 -= c17 >> 4;
c7 += (c17 << 4) & LIMB_MASK;
c8 += c17 >> 22;
//reduce from position 16
c14 += (c16 << 20) & LIMB_MASK;
c15 += c16 >> 6;
c13 -= (c16 << 14) & LIMB_MASK;
c14 -= c16 >> 12;
c9 -= (c16 << 22) & LIMB_MASK;
c10 -= c16 >> 4;
c6 += (c16 << 4) & LIMB_MASK;
c7 += c16 >> 22;
//reduce from position 15
c13 += (c15 << 20) & LIMB_MASK;
c14 += c15 >> 6;
c12 -= (c15 << 14) & LIMB_MASK;
c13 -= c15 >> 12;
c8 -= (c15 << 22) & LIMB_MASK;
c9 -= c15 >> 4;
c5 += (c15 << 4) & LIMB_MASK;
c6 += c15 >> 22;
//reduce from position 14
c12 += (c14 << 20) & LIMB_MASK;
c13 += c14 >> 6;
c11 -= (c14 << 14) & LIMB_MASK;
c12 -= c14 >> 12;
c7 -= (c14 << 22) & LIMB_MASK;
c8 -= c14 >> 4;
c4 += (c14 << 4) & LIMB_MASK;
c5 += c14 >> 22;
//reduce from position 13
c11 += (c13 << 20) & LIMB_MASK;
c12 += c13 >> 6;
c10 -= (c13 << 14) & LIMB_MASK;
c11 -= c13 >> 12;
c6 -= (c13 << 22) & LIMB_MASK;
c7 -= c13 >> 4;
c3 += (c13 << 4) & LIMB_MASK;
c4 += c13 >> 22;
//reduce from position 12
c10 += (c12 << 20) & LIMB_MASK;
c11 += c12 >> 6;
c9 -= (c12 << 14) & LIMB_MASK;
c10 -= c12 >> 12;
c5 -= (c12 << 22) & LIMB_MASK;
c6 -= c12 >> 4;
c2 += (c12 << 4) & LIMB_MASK;
c3 += c12 >> 22;
//reduce from position 11
c9 += (c11 << 20) & LIMB_MASK;
c10 += c11 >> 6;
c8 -= (c11 << 14) & LIMB_MASK;
c9 -= c11 >> 12;
c4 -= (c11 << 22) & LIMB_MASK;
c5 -= c11 >> 4;
c1 += (c11 << 4) & LIMB_MASK;
c2 += c11 >> 22;
//reduce from position 10
c8 += (c10 << 20) & LIMB_MASK;
c9 += c10 >> 6;
c7 -= (c10 << 14) & LIMB_MASK;
c8 -= c10 >> 12;
c3 -= (c10 << 22) & LIMB_MASK;
c4 -= c10 >> 4;
c0 += (c10 << 4) & LIMB_MASK;
c1 += c10 >> 22;
c10 = 0;
carryReduce0(r, c0, c1, c2, c3, c4, c5, c6, c7, c8, c9, c10, c11, c12, c13, c14, c15, c16, c17, c18, c19);
}
void carryReduce0(long[] r, long c0, long c1, long c2, long c3, long c4, long c5, long c6, long c7, long c8, long c9, long c10, long c11, long c12, long c13, long c14, long c15, long c16, long c17, long c18, long c19) {
//carry from position 8
long t0 = (c8 + CARRY_ADD) >> 26;
c8 -= (t0 << 26);
c9 += t0;
//carry from position 9
t0 = (c9 + CARRY_ADD) >> 26;
c9 -= (t0 << 26);
c10 += t0;
//reduce from position 10
c8 += (c10 << 20) & LIMB_MASK;
c9 += c10 >> 6;
c7 -= (c10 << 14) & LIMB_MASK;
c8 -= c10 >> 12;
c3 -= (c10 << 22) & LIMB_MASK;
c4 -= c10 >> 4;
c0 += (c10 << 4) & LIMB_MASK;
c1 += c10 >> 22;
//carry from position 0
t0 = (c0 + CARRY_ADD) >> 26;
c0 -= (t0 << 26);
c1 += t0;
//carry from position 1
t0 = (c1 + CARRY_ADD) >> 26;
c1 -= (t0 << 26);
c2 += t0;
//carry from position 2
t0 = (c2 + CARRY_ADD) >> 26;
c2 -= (t0 << 26);
c3 += t0;
//carry from position 3
t0 = (c3 + CARRY_ADD) >> 26;
c3 -= (t0 << 26);
c4 += t0;
//carry from position 4
t0 = (c4 + CARRY_ADD) >> 26;
c4 -= (t0 << 26);
c5 += t0;
//carry from position 5
t0 = (c5 + CARRY_ADD) >> 26;
c5 -= (t0 << 26);
c6 += t0;
//carry from position 6
t0 = (c6 + CARRY_ADD) >> 26;
c6 -= (t0 << 26);
c7 += t0;
//carry from position 7
t0 = (c7 + CARRY_ADD) >> 26;
c7 -= (t0 << 26);
c8 += t0;
//carry from position 8
t0 = (c8 + CARRY_ADD) >> 26;
c8 -= (t0 << 26);
c9 += t0;
r[0] = c0;
r[1] = c1;
r[2] = c2;
r[3] = c3;
r[4] = c4;
r[5] = c5;
r[6] = c6;
r[7] = c7;
r[8] = c8;
r[9] = c9;
}
private void carryReduce(long[] r, long c0, long c1, long c2, long c3, long c4, long c5, long c6, long c7, long c8, long c9) {
long c10 = 0;
//carry from position 8
long t0 = (c8 + CARRY_ADD) >> 26;
c8 -= (t0 << 26);
c9 += t0;
//carry from position 9
t0 = (c9 + CARRY_ADD) >> 26;
c9 -= (t0 << 26);
c10 += t0;
//reduce from position 10
c8 += (c10 << 20) & LIMB_MASK;
c9 += c10 >> 6;
c7 -= (c10 << 14) & LIMB_MASK;
c8 -= c10 >> 12;
c3 -= (c10 << 22) & LIMB_MASK;
c4 -= c10 >> 4;
c0 += (c10 << 4) & LIMB_MASK;
c1 += c10 >> 22;
//carry from position 0
t0 = (c0 + CARRY_ADD) >> 26;
c0 -= (t0 << 26);
c1 += t0;
//carry from position 1
t0 = (c1 + CARRY_ADD) >> 26;
c1 -= (t0 << 26);
c2 += t0;
//carry from position 2
t0 = (c2 + CARRY_ADD) >> 26;
c2 -= (t0 << 26);
c3 += t0;
//carry from position 3
t0 = (c3 + CARRY_ADD) >> 26;
c3 -= (t0 << 26);
c4 += t0;
//carry from position 4
t0 = (c4 + CARRY_ADD) >> 26;
c4 -= (t0 << 26);
c5 += t0;
//carry from position 5
t0 = (c5 + CARRY_ADD) >> 26;
c5 -= (t0 << 26);
c6 += t0;
//carry from position 6
t0 = (c6 + CARRY_ADD) >> 26;
c6 -= (t0 << 26);
c7 += t0;
//carry from position 7
t0 = (c7 + CARRY_ADD) >> 26;
c7 -= (t0 << 26);
c8 += t0;
//carry from position 8
t0 = (c8 + CARRY_ADD) >> 26;
c8 -= (t0 << 26);
c9 += t0;
r[0] = c0;
r[1] = c1;
r[2] = c2;
r[3] = c3;
r[4] = c4;
r[5] = c5;
r[6] = c6;
r[7] = c7;
r[8] = c8;
r[9] = c9;
}
@Override
protected void mult(long[] a, long[] b, long[] r) {
long c0 = (a[0] * b[0]);
long c1 = (a[0] * b[1]) + (a[1] * b[0]);
long c2 = (a[0] * b[2]) + (a[1] * b[1]) + (a[2] * b[0]);
long c3 = (a[0] * b[3]) + (a[1] * b[2]) + (a[2] * b[1]) + (a[3] * b[0]);
long c4 = (a[0] * b[4]) + (a[1] * b[3]) + (a[2] * b[2]) + (a[3] * b[1]) + (a[4] * b[0]);
long c5 = (a[0] * b[5]) + (a[1] * b[4]) + (a[2] * b[3]) + (a[3] * b[2]) + (a[4] * b[1]) + (a[5] * b[0]);
long c6 = (a[0] * b[6]) + (a[1] * b[5]) + (a[2] * b[4]) + (a[3] * b[3]) + (a[4] * b[2]) + (a[5] * b[1]) + (a[6] * b[0]);
long c7 = (a[0] * b[7]) + (a[1] * b[6]) + (a[2] * b[5]) + (a[3] * b[4]) + (a[4] * b[3]) + (a[5] * b[2]) + (a[6] * b[1]) + (a[7] * b[0]);
long c8 = (a[0] * b[8]) + (a[1] * b[7]) + (a[2] * b[6]) + (a[3] * b[5]) + (a[4] * b[4]) + (a[5] * b[3]) + (a[6] * b[2]) + (a[7] * b[1]) + (a[8] * b[0]);
long c9 = (a[0] * b[9]) + (a[1] * b[8]) + (a[2] * b[7]) + (a[3] * b[6]) + (a[4] * b[5]) + (a[5] * b[4]) + (a[6] * b[3]) + (a[7] * b[2]) + (a[8] * b[1]) + (a[9] * b[0]);
long c10 = (a[1] * b[9]) + (a[2] * b[8]) + (a[3] * b[7]) + (a[4] * b[6]) + (a[5] * b[5]) + (a[6] * b[4]) + (a[7] * b[3]) + (a[8] * b[2]) + (a[9] * b[1]);
long c11 = (a[2] * b[9]) + (a[3] * b[8]) + (a[4] * b[7]) + (a[5] * b[6]) + (a[6] * b[5]) + (a[7] * b[4]) + (a[8] * b[3]) + (a[9] * b[2]);
long c12 = (a[3] * b[9]) + (a[4] * b[8]) + (a[5] * b[7]) + (a[6] * b[6]) + (a[7] * b[5]) + (a[8] * b[4]) + (a[9] * b[3]);
long c13 = (a[4] * b[9]) + (a[5] * b[8]) + (a[6] * b[7]) + (a[7] * b[6]) + (a[8] * b[5]) + (a[9] * b[4]);
long c14 = (a[5] * b[9]) + (a[6] * b[8]) + (a[7] * b[7]) + (a[8] * b[6]) + (a[9] * b[5]);
long c15 = (a[6] * b[9]) + (a[7] * b[8]) + (a[8] * b[7]) + (a[9] * b[6]);
long c16 = (a[7] * b[9]) + (a[8] * b[8]) + (a[9] * b[7]);
long c17 = (a[8] * b[9]) + (a[9] * b[8]);
long c18 = (a[9] * b[9]);
carryReduce(r, c0, c1, c2, c3, c4, c5, c6, c7, c8, c9, c10, c11, c12, c13, c14, c15, c16, c17, c18);
}
@Override
protected void reduce(long[] a) {
carryReduce(a, a[0], a[1], a[2], a[3], a[4], a[5], a[6], a[7], a[8], a[9]);
}
@Override
protected void square(long[] a, long[] r) {
long c0 = (a[0] * a[0]);
long c1 = 2 * ((a[0] * a[1]));
long c2 = 2 * ((a[0] * a[2])) + (a[1] * a[1]);
long c3 = 2 * ((a[0] * a[3]) + (a[1] * a[2]));
long c4 = 2 * ((a[0] * a[4]) + (a[1] * a[3])) + (a[2] * a[2]);
long c5 = 2 * ((a[0] * a[5]) + (a[1] * a[4]) + (a[2] * a[3]));
long c6 = 2 * ((a[0] * a[6]) + (a[1] * a[5]) + (a[2] * a[4])) + (a[3] * a[3]);
long c7 = 2 * ((a[0] * a[7]) + (a[1] * a[6]) + (a[2] * a[5]) + (a[3] * a[4]));
long c8 = 2 * ((a[0] * a[8]) + (a[1] * a[7]) + (a[2] * a[6]) + (a[3] * a[5])) + (a[4] * a[4]);
long c9 = 2 * ((a[0] * a[9]) + (a[1] * a[8]) + (a[2] * a[7]) + (a[3] * a[6]) + (a[4] * a[5]));
long c10 = 2 * ((a[1] * a[9]) + (a[2] * a[8]) + (a[3] * a[7]) + (a[4] * a[6])) + (a[5] * a[5]);
long c11 = 2 * ((a[2] * a[9]) + (a[3] * a[8]) + (a[4] * a[7]) + (a[5] * a[6]));
long c12 = 2 * ((a[3] * a[9]) + (a[4] * a[8]) + (a[5] * a[7])) + (a[6] * a[6]);
long c13 = 2 * ((a[4] * a[9]) + (a[5] * a[8]) + (a[6] * a[7]));
long c14 = 2 * ((a[5] * a[9]) + (a[6] * a[8])) + (a[7] * a[7]);
long c15 = 2 * ((a[6] * a[9]) + (a[7] * a[8]));
long c16 = 2 * ((a[7] * a[9])) + (a[8] * a[8]);
long c17 = 2 * ((a[8] * a[9]));
long c18 = (a[9] * a[9]);
carryReduce(r, c0, c1, c2, c3, c4, c5, c6, c7, c8, c9, c10, c11, c12, c13, c14, c15, c16, c17, c18);
}
}

431
src/java.base/share/classes/sun/security/util/math/intpoly/IntegerPolynomialP384.java
View File

@ -1,431 +0,0 @@
/*
* Copyright (c) 2018, Oracle and/or its affiliates. All rights reserved.
* DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER.
*
* This code is free software; you can redistribute it and/or modify it
* under the terms of the GNU General Public License version 2 only, as
* published by the Free Software Foundation. Oracle designates this
* particular file as subject to the "Classpath" exception as provided
* by Oracle in the LICENSE file that accompanied this code.
*
* This code is distributed in the hope that it will be useful, but WITHOUT
* ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
* FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
* version 2 for more details (a copy is included in the LICENSE file that
* accompanied this code).
*
* You should have received a copy of the GNU General Public License version
* 2 along with this work; if not, write to the Free Software Foundation,
* Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA.
*
* Please contact Oracle, 500 Oracle Parkway, Redwood Shores, CA 94065 USA
* or visit www.oracle.com if you need additional information or have any
* questions.
*/
/*
* This file is generated by FieldGen.jsh. Do not modify it directly.
*/
package sun.security.util.math.intpoly;
import java.math.BigInteger;
public class IntegerPolynomialP384 extends IntegerPolynomial {
private static final int BITS_PER_LIMB = 28;
private static final int NUM_LIMBS = 14;
private static final int MAX_ADDS = 2;
public static final BigInteger MODULUS = evaluateModulus();
private static final long CARRY_ADD = 1 << 27;
private static final int LIMB_MASK = -1 >>> (64 - BITS_PER_LIMB);
public IntegerPolynomialP384() {
super(BITS_PER_LIMB, NUM_LIMBS, MAX_ADDS, MODULUS);
}
private static BigInteger evaluateModulus() {
BigInteger result = BigInteger.valueOf(2).pow(384);
result = result.subtract(BigInteger.valueOf(2).pow(128));
result = result.subtract(BigInteger.valueOf(2).pow(96));
result = result.add(BigInteger.valueOf(2).pow(32));
result = result.subtract(BigInteger.valueOf(1));
return result;
}
@Override
protected void finalCarryReduceLast(long[] limbs) {
long c = limbs[13] >> 20;
limbs[13] -= c << 20;
limbs[4] += (c << 16) & LIMB_MASK;
limbs[5] += c >> 12;
limbs[3] += (c << 12) & LIMB_MASK;
limbs[4] += c >> 16;
limbs[1] -= (c << 4) & LIMB_MASK;
limbs[2] -= c >> 24;
limbs[0] += c;
}
private void carryReduce(long[] r, long c0, long c1, long c2, long c3, long c4, long c5, long c6, long c7, long c8, long c9, long c10, long c11, long c12, long c13, long c14, long c15, long c16, long c17, long c18, long c19, long c20, long c21, long c22, long c23, long c24, long c25, long c26) {
long c27 = 0;
//reduce from position 26
c16 += (c26 << 24) & LIMB_MASK;
c17 += c26 >> 4;
c15 += (c26 << 20) & LIMB_MASK;
c16 += c26 >> 8;
c13 -= (c26 << 12) & LIMB_MASK;
c14 -= c26 >> 16;
c12 += (c26 << 8) & LIMB_MASK;
c13 += c26 >> 20;
//reduce from position 25
c15 += (c25 << 24) & LIMB_MASK;
c16 += c25 >> 4;
c14 += (c25 << 20) & LIMB_MASK;
c15 += c25 >> 8;
c12 -= (c25 << 12) & LIMB_MASK;
c13 -= c25 >> 16;
c11 += (c25 << 8) & LIMB_MASK;
c12 += c25 >> 20;
//reduce from position 24
c14 += (c24 << 24) & LIMB_MASK;
c15 += c24 >> 4;
c13 += (c24 << 20) & LIMB_MASK;
c14 += c24 >> 8;
c11 -= (c24 << 12) & LIMB_MASK;
c12 -= c24 >> 16;
c10 += (c24 << 8) & LIMB_MASK;
c11 += c24 >> 20;
//reduce from position 23
c13 += (c23 << 24) & LIMB_MASK;
c14 += c23 >> 4;
c12 += (c23 << 20) & LIMB_MASK;
c13 += c23 >> 8;
c10 -= (c23 << 12) & LIMB_MASK;
c11 -= c23 >> 16;
c9 += (c23 << 8) & LIMB_MASK;
c10 += c23 >> 20;
//reduce from position 22
c12 += (c22 << 24) & LIMB_MASK;
c13 += c22 >> 4;
c11 += (c22 << 20) & LIMB_MASK;
c12 += c22 >> 8;
c9 -= (c22 << 12) & LIMB_MASK;
c10 -= c22 >> 16;
c8 += (c22 << 8) & LIMB_MASK;
c9 += c22 >> 20;
//reduce from position 21
c11 += (c21 << 24) & LIMB_MASK;
c12 += c21 >> 4;
c10 += (c21 << 20) & LIMB_MASK;
c11 += c21 >> 8;
c8 -= (c21 << 12) & LIMB_MASK;
c9 -= c21 >> 16;
c7 += (c21 << 8) & LIMB_MASK;
c8 += c21 >> 20;
//reduce from position 20
c10 += (c20 << 24) & LIMB_MASK;
c11 += c20 >> 4;
c9 += (c20 << 20) & LIMB_MASK;
c10 += c20 >> 8;
c7 -= (c20 << 12) & LIMB_MASK;
c8 -= c20 >> 16;
c6 += (c20 << 8) & LIMB_MASK;
c7 += c20 >> 20;
//reduce from position 19
c9 += (c19 << 24) & LIMB_MASK;
c10 += c19 >> 4;
c8 += (c19 << 20) & LIMB_MASK;
c9 += c19 >> 8;
c6 -= (c19 << 12) & LIMB_MASK;
c7 -= c19 >> 16;
c5 += (c19 << 8) & LIMB_MASK;
c6 += c19 >> 20;
//reduce from position 18
c8 += (c18 << 24) & LIMB_MASK;
c9 += c18 >> 4;
c7 += (c18 << 20) & LIMB_MASK;
c8 += c18 >> 8;
c5 -= (c18 << 12) & LIMB_MASK;
c6 -= c18 >> 16;
c4 += (c18 << 8) & LIMB_MASK;
c5 += c18 >> 20;
//reduce from position 17
c7 += (c17 << 24) & LIMB_MASK;
c8 += c17 >> 4;
c6 += (c17 << 20) & LIMB_MASK;
c7 += c17 >> 8;
c4 -= (c17 << 12) & LIMB_MASK;
c5 -= c17 >> 16;
c3 += (c17 << 8) & LIMB_MASK;
c4 += c17 >> 20;
//reduce from position 16
c6 += (c16 << 24) & LIMB_MASK;
c7 += c16 >> 4;
c5 += (c16 << 20) & LIMB_MASK;
c6 += c16 >> 8;
c3 -= (c16 << 12) & LIMB_MASK;
c4 -= c16 >> 16;
c2 += (c16 << 8) & LIMB_MASK;
c3 += c16 >> 20;
//reduce from position 15
c5 += (c15 << 24) & LIMB_MASK;
c6 += c15 >> 4;
c4 += (c15 << 20) & LIMB_MASK;
c5 += c15 >> 8;
c2 -= (c15 << 12) & LIMB_MASK;
c3 -= c15 >> 16;
c1 += (c15 << 8) & LIMB_MASK;
c2 += c15 >> 20;
//reduce from position 14
c4 += (c14 << 24) & LIMB_MASK;
c5 += c14 >> 4;
c3 += (c14 << 20) & LIMB_MASK;
c4 += c14 >> 8;
c1 -= (c14 << 12) & LIMB_MASK;
c2 -= c14 >> 16;
c0 += (c14 << 8) & LIMB_MASK;
c1 += c14 >> 20;
c14 = 0;
carryReduce0(r, c0, c1, c2, c3, c4, c5, c6, c7, c8, c9, c10, c11, c12, c13, c14, c15, c16, c17, c18, c19, c20, c21, c22, c23, c24, c25, c26, c27);
}
void carryReduce0(long[] r, long c0, long c1, long c2, long c3, long c4, long c5, long c6, long c7, long c8, long c9, long c10, long c11, long c12, long c13, long c14, long c15, long c16, long c17, long c18, long c19, long c20, long c21, long c22, long c23, long c24, long c25, long c26, long c27) {
//carry from position 12
long t0 = (c12 + CARRY_ADD) >> 28;
c12 -= (t0 << 28);
c13 += t0;
//carry from position 13
t0 = (c13 + CARRY_ADD) >> 28;
c13 -= (t0 << 28);
c14 += t0;
//reduce from position 14
c4 += (c14 << 24) & LIMB_MASK;
c5 += c14 >> 4;
c3 += (c14 << 20) & LIMB_MASK;
c4 += c14 >> 8;
c1 -= (c14 << 12) & LIMB_MASK;
c2 -= c14 >> 16;
c0 += (c14 << 8) & LIMB_MASK;
c1 += c14 >> 20;
//carry from position 0
t0 = (c0 + CARRY_ADD) >> 28;
c0 -= (t0 << 28);
c1 += t0;
//carry from position 1
t0 = (c1 + CARRY_ADD) >> 28;
c1 -= (t0 << 28);
c2 += t0;
//carry from position 2
t0 = (c2 + CARRY_ADD) >> 28;
c2 -= (t0 << 28);
c3 += t0;
//carry from position 3
t0 = (c3 + CARRY_ADD) >> 28;
c3 -= (t0 << 28);
c4 += t0;
//carry from position 4
t0 = (c4 + CARRY_ADD) >> 28;
c4 -= (t0 << 28);
c5 += t0;
//carry from position 5
t0 = (c5 + CARRY_ADD) >> 28;
c5 -= (t0 << 28);
c6 += t0;
//carry from position 6
t0 = (c6 + CARRY_ADD) >> 28;
c6 -= (t0 << 28);
c7 += t0;
//carry from position 7
t0 = (c7 + CARRY_ADD) >> 28;
c7 -= (t0 << 28);
c8 += t0;
//carry from position 8
t0 = (c8 + CARRY_ADD) >> 28;
c8 -= (t0 << 28);
c9 += t0;
//carry from position 9
t0 = (c9 + CARRY_ADD) >> 28;
c9 -= (t0 << 28);
c10 += t0;
//carry from position 10
t0 = (c10 + CARRY_ADD) >> 28;
c10 -= (t0 << 28);
c11 += t0;
//carry from position 11
t0 = (c11 + CARRY_ADD) >> 28;
c11 -= (t0 << 28);
c12 += t0;
//carry from position 12
t0 = (c12 + CARRY_ADD) >> 28;
c12 -= (t0 << 28);
c13 += t0;
r[0] = c0;
r[1] = c1;
r[2] = c2;
r[3] = c3;
r[4] = c4;
r[5] = c5;
r[6] = c6;
r[7] = c7;
r[8] = c8;
r[9] = c9;
r[10] = c10;
r[11] = c11;
r[12] = c12;
r[13] = c13;
}
private void carryReduce(long[] r, long c0, long c1, long c2, long c3, long c4, long c5, long c6, long c7, long c8, long c9, long c10, long c11, long c12, long c13) {
long c14 = 0;
//carry from position 12
long t0 = (c12 + CARRY_ADD) >> 28;
c12 -= (t0 << 28);
c13 += t0;
//carry from position 13
t0 = (c13 + CARRY_ADD) >> 28;
c13 -= (t0 << 28);
c14 += t0;
//reduce from position 14
c4 += (c14 << 24) & LIMB_MASK;
c5 += c14 >> 4;
c3 += (c14 << 20) & LIMB_MASK;
c4 += c14 >> 8;
c1 -= (c14 << 12) & LIMB_MASK;
c2 -= c14 >> 16;
c0 += (c14 << 8) & LIMB_MASK;
c1 += c14 >> 20;
//carry from position 0
t0 = (c0 + CARRY_ADD) >> 28;
c0 -= (t0 << 28);
c1 += t0;
//carry from position 1
t0 = (c1 + CARRY_ADD) >> 28;
c1 -= (t0 << 28);
c2 += t0;
//carry from position 2
t0 = (c2 + CARRY_ADD) >> 28;
c2 -= (t0 << 28);
c3 += t0;
//carry from position 3
t0 = (c3 + CARRY_ADD) >> 28;
c3 -= (t0 << 28);
c4 += t0;
//carry from position 4
t0 = (c4 + CARRY_ADD) >> 28;
c4 -= (t0 << 28);
c5 += t0;
//carry from position 5
t0 = (c5 + CARRY_ADD) >> 28;
c5 -= (t0 << 28);
c6 += t0;
//carry from position 6
t0 = (c6 + CARRY_ADD) >> 28;
c6 -= (t0 << 28);
c7 += t0;
//carry from position 7
t0 = (c7 + CARRY_ADD) >> 28;
c7 -= (t0 << 28);
c8 += t0;
//carry from position 8
t0 = (c8 + CARRY_ADD) >> 28;
c8 -= (t0 << 28);
c9 += t0;
//carry from position 9
t0 = (c9 + CARRY_ADD) >> 28;
c9 -= (t0 << 28);
c10 += t0;
//carry from position 10
t0 = (c10 + CARRY_ADD) >> 28;
c10 -= (t0 << 28);
c11 += t0;
//carry from position 11
t0 = (c11 + CARRY_ADD) >> 28;
c11 -= (t0 << 28);
c12 += t0;
//carry from position 12
t0 = (c12 + CARRY_ADD) >> 28;
c12 -= (t0 << 28);
c13 += t0;
r[0] = c0;
r[1] = c1;
r[2] = c2;
r[3] = c3;
r[4] = c4;
r[5] = c5;
r[6] = c6;
r[7] = c7;
r[8] = c8;
r[9] = c9;
r[10] = c10;
r[11] = c11;
r[12] = c12;
r[13] = c13;
}
@Override
protected void mult(long[] a, long[] b, long[] r) {
long c0 = (a[0] * b[0]);
long c1 = (a[0] * b[1]) + (a[1] * b[0]);
long c2 = (a[0] * b[2]) + (a[1] * b[1]) + (a[2] * b[0]);
long c3 = (a[0] * b[3]) + (a[1] * b[2]) + (a[2] * b[1]) + (a[3] * b[0]);
long c4 = (a[0] * b[4]) + (a[1] * b[3]) + (a[2] * b[2]) + (a[3] * b[1]) + (a[4] * b[0]);
long c5 = (a[0] * b[5]) + (a[1] * b[4]) + (a[2] * b[3]) + (a[3] * b[2]) + (a[4] * b[1]) + (a[5] * b[0]);
long c6 = (a[0] * b[6]) + (a[1] * b[5]) + (a[2] * b[4]) + (a[3] * b[3]) + (a[4] * b[2]) + (a[5] * b[1]) + (a[6] * b[0]);
long c7 = (a[0] * b[7]) + (a[1] * b[6]) + (a[2] * b[5]) + (a[3] * b[4]) + (a[4] * b[3]) + (a[5] * b[2]) + (a[6] * b[1]) + (a[7] * b[0]);
long c8 = (a[0] * b[8]) + (a[1] * b[7]) + (a[2] * b[6]) + (a[3] * b[5]) + (a[4] * b[4]) + (a[5] * b[3]) + (a[6] * b[2]) + (a[7] * b[1]) + (a[8] * b[0]);
long c9 = (a[0] * b[9]) + (a[1] * b[8]) + (a[2] * b[7]) + (a[3] * b[6]) + (a[4] * b[5]) + (a[5] * b[4]) + (a[6] * b[3]) + (a[7] * b[2]) + (a[8] * b[1]) + (a[9] * b[0]);
long c10 = (a[0] * b[10]) + (a[1] * b[9]) + (a[2] * b[8]) + (a[3] * b[7]) + (a[4] * b[6]) + (a[5] * b[5]) + (a[6] * b[4]) + (a[7] * b[3]) + (a[8] * b[2]) + (a[9] * b[1]) + (a[10] * b[0]);
long c11 = (a[0] * b[11]) + (a[1] * b[10]) + (a[2] * b[9]) + (a[3] * b[8]) + (a[4] * b[7]) + (a[5] * b[6]) + (a[6] * b[5]) + (a[7] * b[4]) + (a[8] * b[3]) + (a[9] * b[2]) + (a[10] * b[1]) + (a[11] * b[0]);
long c12 = (a[0] * b[12]) + (a[1] * b[11]) + (a[2] * b[10]) + (a[3] * b[9]) + (a[4] * b[8]) + (a[5] * b[7]) + (a[6] * b[6]) + (a[7] * b[5]) + (a[8] * b[4]) + (a[9] * b[3]) + (a[10] * b[2]) + (a[11] * b[1]) + (a[12] * b[0]);
long c13 = (a[0] * b[13]) + (a[1] * b[12]) + (a[2] * b[11]) + (a[3] * b[10]) + (a[4] * b[9]) + (a[5] * b[8]) + (a[6] * b[7]) + (a[7] * b[6]) + (a[8] * b[5]) + (a[9] * b[4]) + (a[10] * b[3]) + (a[11] * b[2]) + (a[12] * b[1]) + (a[13] * b[0]);
long c14 = (a[1] * b[13]) + (a[2] * b[12]) + (a[3] * b[11]) + (a[4] * b[10]) + (a[5] * b[9]) + (a[6] * b[8]) + (a[7] * b[7]) + (a[8] * b[6]) + (a[9] * b[5]) + (a[10] * b[4]) + (a[11] * b[3]) + (a[12] * b[2]) + (a[13] * b[1]);
long c15 = (a[2] * b[13]) + (a[3] * b[12]) + (a[4] * b[11]) + (a[5] * b[10]) + (a[6] * b[9]) + (a[7] * b[8]) + (a[8] * b[7]) + (a[9] * b[6]) + (a[10] * b[5]) + (a[11] * b[4]) + (a[12] * b[3]) + (a[13] * b[2]);
long c16 = (a[3] * b[13]) + (a[4] * b[12]) + (a[5] * b[11]) + (a[6] * b[10]) + (a[7] * b[9]) + (a[8] * b[8]) + (a[9] * b[7]) + (a[10] * b[6]) + (a[11] * b[5]) + (a[12] * b[4]) + (a[13] * b[3]);
long c17 = (a[4] * b[13]) + (a[5] * b[12]) + (a[6] * b[11]) + (a[7] * b[10]) + (a[8] * b[9]) + (a[9] * b[8]) + (a[10] * b[7]) + (a[11] * b[6]) + (a[12] * b[5]) + (a[13] * b[4]);
long c18 = (a[5] * b[13]) + (a[6] * b[12]) + (a[7] * b[11]) + (a[8] * b[10]) + (a[9] * b[9]) + (a[10] * b[8]) + (a[11] * b[7]) + (a[12] * b[6]) + (a[13] * b[5]);
long c19 = (a[6] * b[13]) + (a[7] * b[12]) + (a[8] * b[11]) + (a[9] * b[10]) + (a[10] * b[9]) + (a[11] * b[8]) + (a[12] * b[7]) + (a[13] * b[6]);
long c20 = (a[7] * b[13]) + (a[8] * b[12]) + (a[9] * b[11]) + (a[10] * b[10]) + (a[11] * b[9]) + (a[12] * b[8]) + (a[13] * b[7]);
long c21 = (a[8] * b[13]) + (a[9] * b[12]) + (a[10] * b[11]) + (a[11] * b[10]) + (a[12] * b[9]) + (a[13] * b[8]);
long c22 = (a[9] * b[13]) + (a[10] * b[12]) + (a[11] * b[11]) + (a[12] * b[10]) + (a[13] * b[9]);
long c23 = (a[10] * b[13]) + (a[11] * b[12]) + (a[12] * b[11]) + (a[13] * b[10]);
long c24 = (a[11] * b[13]) + (a[12] * b[12]) + (a[13] * b[11]);
long c25 = (a[12] * b[13]) + (a[13] * b[12]);
long c26 = (a[13] * b[13]);
carryReduce(r, c0, c1, c2, c3, c4, c5, c6, c7, c8, c9, c10, c11, c12, c13, c14, c15, c16, c17, c18, c19, c20, c21, c22, c23, c24, c25, c26);
}
@Override
protected void reduce(long[] a) {
carryReduce(a, a[0], a[1], a[2], a[3], a[4], a[5], a[6], a[7], a[8], a[9], a[10], a[11], a[12], a[13]);
}
@Override
protected void square(long[] a, long[] r) {
long c0 = (a[0] * a[0]);
long c1 = 2 * ((a[0] * a[1]));
long c2 = 2 * ((a[0] * a[2])) + (a[1] * a[1]);
long c3 = 2 * ((a[0] * a[3]) + (a[1] * a[2]));
long c4 = 2 * ((a[0] * a[4]) + (a[1] * a[3])) + (a[2] * a[2]);
long c5 = 2 * ((a[0] * a[5]) + (a[1] * a[4]) + (a[2] * a[3]));
long c6 = 2 * ((a[0] * a[6]) + (a[1] * a[5]) + (a[2] * a[4])) + (a[3] * a[3]);
long c7 = 2 * ((a[0] * a[7]) + (a[1] * a[6]) + (a[2] * a[5]) + (a[3] * a[4]));
long c8 = 2 * ((a[0] * a[8]) + (a[1] * a[7]) + (a[2] * a[6]) + (a[3] * a[5])) + (a[4] * a[4]);
long c9 = 2 * ((a[0] * a[9]) + (a[1] * a[8]) + (a[2] * a[7]) + (a[3] * a[6]) + (a[4] * a[5]));
long c10 = 2 * ((a[0] * a[10]) + (a[1] * a[9]) + (a[2] * a[8]) + (a[3] * a[7]) + (a[4] * a[6])) + (a[5] * a[5]);
long c11 = 2 * ((a[0] * a[11]) + (a[1] * a[10]) + (a[2] * a[9]) + (a[3] * a[8]) + (a[4] * a[7]) + (a[5] * a[6]));
long c12 = 2 * ((a[0] * a[12]) + (a[1] * a[11]) + (a[2] * a[10]) + (a[3] * a[9]) + (a[4] * a[8]) + (a[5] * a[7])) + (a[6] * a[6]);
long c13 = 2 * ((a[0] * a[13]) + (a[1] * a[12]) + (a[2] * a[11]) + (a[3] * a[10]) + (a[4] * a[9]) + (a[5] * a[8]) + (a[6] * a[7]));
long c14 = 2 * ((a[1] * a[13]) + (a[2] * a[12]) + (a[3] * a[11]) + (a[4] * a[10]) + (a[5] * a[9]) + (a[6] * a[8])) + (a[7] * a[7]);
long c15 = 2 * ((a[2] * a[13]) + (a[3] * a[12]) + (a[4] * a[11]) + (a[5] * a[10]) + (a[6] * a[9]) + (a[7] * a[8]));
long c16 = 2 * ((a[3] * a[13]) + (a[4] * a[12]) + (a[5] * a[11]) + (a[6] * a[10]) + (a[7] * a[9])) + (a[8] * a[8]);
long c17 = 2 * ((a[4] * a[13]) + (a[5] * a[12]) + (a[6] * a[11]) + (a[7] * a[10]) + (a[8] * a[9]));
long c18 = 2 * ((a[5] * a[13]) + (a[6] * a[12]) + (a[7] * a[11]) + (a[8] * a[10])) + (a[9] * a[9]);
long c19 = 2 * ((a[6] * a[13]) + (a[7] * a[12]) + (a[8] * a[11]) + (a[9] * a[10]));
long c20 = 2 * ((a[7] * a[13]) + (a[8] * a[12]) + (a[9] * a[11])) + (a[10] * a[10]);
long c21 = 2 * ((a[8] * a[13]) + (a[9] * a[12]) + (a[10] * a[11]));
long c22 = 2 * ((a[9] * a[13]) + (a[10] * a[12])) + (a[11] * a[11]);
long c23 = 2 * ((a[10] * a[13]) + (a[11] * a[12]));
long c24 = 2 * ((a[11] * a[13])) + (a[12] * a[12]);
long c25 = 2 * ((a[12] * a[13]));
long c26 = (a[13] * a[13]);
carryReduce(r, c0, c1, c2, c3, c4, c5, c6, c7, c8, c9, c10, c11, c12, c13, c14, c15, c16, c17, c18, c19, c20, c21, c22, c23, c24, c25, c26);
}
}

417
src/java.base/share/classes/sun/security/util/math/intpoly/IntegerPolynomialP521.java
View File

@ -1,417 +0,0 @@
/*
* Copyright (c) 2018, Oracle and/or its affiliates. All rights reserved.
* DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER.
*
* This code is free software; you can redistribute it and/or modify it
* under the terms of the GNU General Public License version 2 only, as
* published by the Free Software Foundation. Oracle designates this
* particular file as subject to the "Classpath" exception as provided
* by Oracle in the LICENSE file that accompanied this code.
*
* This code is distributed in the hope that it will be useful, but WITHOUT
* ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
* FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
* version 2 for more details (a copy is included in the LICENSE file that
* accompanied this code).
*
* You should have received a copy of the GNU General Public License version
* 2 along with this work; if not, write to the Free Software Foundation,
* Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA.
*
* Please contact Oracle, 500 Oracle Parkway, Redwood Shores, CA 94065 USA
* or visit www.oracle.com if you need additional information or have any
* questions.
*/
/*
* This file is generated by FieldGen.jsh. Do not modify it directly.
*/
package sun.security.util.math.intpoly;
import java.math.BigInteger;
public class IntegerPolynomialP521 extends IntegerPolynomial {
private static final int BITS_PER_LIMB = 28;
private static final int NUM_LIMBS = 19;
private static final int MAX_ADDS = 2;
public static final BigInteger MODULUS = evaluateModulus();
private static final long CARRY_ADD = 1 << 27;
private static final int LIMB_MASK = -1 >>> (64 - BITS_PER_LIMB);
public IntegerPolynomialP521() {
super(BITS_PER_LIMB, NUM_LIMBS, MAX_ADDS, MODULUS);
}
private static BigInteger evaluateModulus() {
BigInteger result = BigInteger.valueOf(2).pow(521);
result = result.subtract(BigInteger.valueOf(1));
return result;
}
@Override
protected void finalCarryReduceLast(long[] limbs) {
long c = limbs[18] >> 17;
limbs[18] -= c << 17;
limbs[0] += c;
}
private void carryReduce(long[] r, long c0, long c1, long c2, long c3, long c4, long c5, long c6, long c7, long c8, long c9, long c10, long c11, long c12, long c13, long c14, long c15, long c16, long c17, long c18, long c19, long c20, long c21, long c22, long c23, long c24, long c25, long c26, long c27, long c28, long c29, long c30, long c31, long c32, long c33, long c34, long c35, long c36) {
long c37 = 0;
//reduce from position 36
c17 += (c36 << 11) & LIMB_MASK;
c18 += c36 >> 17;
//reduce from position 35
c16 += (c35 << 11) & LIMB_MASK;
c17 += c35 >> 17;
//reduce from position 34
c15 += (c34 << 11) & LIMB_MASK;
c16 += c34 >> 17;
//reduce from position 33
c14 += (c33 << 11) & LIMB_MASK;
c15 += c33 >> 17;
//reduce from position 32
c13 += (c32 << 11) & LIMB_MASK;
c14 += c32 >> 17;
//reduce from position 31
c12 += (c31 << 11) & LIMB_MASK;
c13 += c31 >> 17;
//reduce from position 30
c11 += (c30 << 11) & LIMB_MASK;
c12 += c30 >> 17;
//reduce from position 29
c10 += (c29 << 11) & LIMB_MASK;
c11 += c29 >> 17;
//reduce from position 28
c9 += (c28 << 11) & LIMB_MASK;
c10 += c28 >> 17;
//reduce from position 27
c8 += (c27 << 11) & LIMB_MASK;
c9 += c27 >> 17;
//reduce from position 26
c7 += (c26 << 11) & LIMB_MASK;
c8 += c26 >> 17;
//reduce from position 25
c6 += (c25 << 11) & LIMB_MASK;
c7 += c25 >> 17;
//reduce from position 24
c5 += (c24 << 11) & LIMB_MASK;
c6 += c24 >> 17;
//reduce from position 23
c4 += (c23 << 11) & LIMB_MASK;
c5 += c23 >> 17;
//reduce from position 22
c3 += (c22 << 11) & LIMB_MASK;
c4 += c22 >> 17;
//reduce from position 21
c2 += (c21 << 11) & LIMB_MASK;
c3 += c21 >> 17;
//reduce from position 20
c1 += (c20 << 11) & LIMB_MASK;
c2 += c20 >> 17;
//reduce from position 19
c0 += (c19 << 11) & LIMB_MASK;
c1 += c19 >> 17;
c19 = 0;
carryReduce0(r, c0, c1, c2, c3, c4, c5, c6, c7, c8, c9, c10, c11, c12, c13, c14, c15, c16, c17, c18, c19, c20, c21, c22, c23, c24, c25, c26, c27, c28, c29, c30, c31, c32, c33, c34, c35, c36, c37);
}
void carryReduce0(long[] r, long c0, long c1, long c2, long c3, long c4, long c5, long c6, long c7, long c8, long c9, long c10, long c11, long c12, long c13, long c14, long c15, long c16, long c17, long c18, long c19, long c20, long c21, long c22, long c23, long c24, long c25, long c26, long c27, long c28, long c29, long c30, long c31, long c32, long c33, long c34, long c35, long c36, long c37) {
//carry from position 17
long t0 = (c17 + CARRY_ADD) >> 28;
c17 -= (t0 << 28);
c18 += t0;
//carry from position 18
t0 = (c18 + CARRY_ADD) >> 28;
c18 -= (t0 << 28);
c19 += t0;
//reduce from position 19
c0 += (c19 << 11) & LIMB_MASK;
c1 += c19 >> 17;
//carry from position 0
t0 = (c0 + CARRY_ADD) >> 28;
c0 -= (t0 << 28);
c1 += t0;
//carry from position 1
t0 = (c1 + CARRY_ADD) >> 28;
c1 -= (t0 << 28);
c2 += t0;
//carry from position 2
t0 = (c2 + CARRY_ADD) >> 28;
c2 -= (t0 << 28);
c3 += t0;
//carry from position 3
t0 = (c3 + CARRY_ADD) >> 28;
c3 -= (t0 << 28);
c4 += t0;
//carry from position 4
t0 = (c4 + CARRY_ADD) >> 28;
c4 -= (t0 << 28);
c5 += t0;
//carry from position 5
t0 = (c5 + CARRY_ADD) >> 28;
c5 -= (t0 << 28);
c6 += t0;
//carry from position 6
t0 = (c6 + CARRY_ADD) >> 28;
c6 -= (t0 << 28);
c7 += t0;
//carry from position 7
t0 = (c7 + CARRY_ADD) >> 28;
c7 -= (t0 << 28);
c8 += t0;
//carry from position 8
t0 = (c8 + CARRY_ADD) >> 28;
c8 -= (t0 << 28);
c9 += t0;
//carry from position 9
t0 = (c9 + CARRY_ADD) >> 28;
c9 -= (t0 << 28);
c10 += t0;
//carry from position 10
t0 = (c10 + CARRY_ADD) >> 28;
c10 -= (t0 << 28);
c11 += t0;
//carry from position 11
t0 = (c11 + CARRY_ADD) >> 28;
c11 -= (t0 << 28);
c12 += t0;
//carry from position 12
t0 = (c12 + CARRY_ADD) >> 28;
c12 -= (t0 << 28);
c13 += t0;
//carry from position 13
t0 = (c13 + CARRY_ADD) >> 28;
c13 -= (t0 << 28);
c14 += t0;
//carry from position 14
t0 = (c14 + CARRY_ADD) >> 28;
c14 -= (t0 << 28);
c15 += t0;
//carry from position 15
t0 = (c15 + CARRY_ADD) >> 28;
c15 -= (t0 << 28);
c16 += t0;
//carry from position 16
t0 = (c16 + CARRY_ADD) >> 28;
c16 -= (t0 << 28);
c17 += t0;
//carry from position 17
t0 = (c17 + CARRY_ADD) >> 28;
c17 -= (t0 << 28);
c18 += t0;
r[0] = c0;
r[1] = c1;
r[2] = c2;
r[3] = c3;
r[4] = c4;
r[5] = c5;
r[6] = c6;
r[7] = c7;
r[8] = c8;
r[9] = c9;
r[10] = c10;
r[11] = c11;
r[12] = c12;
r[13] = c13;
r[14] = c14;
r[15] = c15;
r[16] = c16;
r[17] = c17;
r[18] = c18;
}
private void carryReduce(long[] r, long c0, long c1, long c2, long c3, long c4, long c5, long c6, long c7, long c8, long c9, long c10, long c11, long c12, long c13, long c14, long c15, long c16, long c17, long c18) {
long c19 = 0;
//carry from position 17
long t0 = (c17 + CARRY_ADD) >> 28;
c17 -= (t0 << 28);
c18 += t0;
//carry from position 18
t0 = (c18 + CARRY_ADD) >> 28;
c18 -= (t0 << 28);
c19 += t0;
//reduce from position 19
c0 += (c19 << 11) & LIMB_MASK;
c1 += c19 >> 17;
//carry from position 0
t0 = (c0 + CARRY_ADD) >> 28;
c0 -= (t0 << 28);
c1 += t0;
//carry from position 1
t0 = (c1 + CARRY_ADD) >> 28;
c1 -= (t0 << 28);
c2 += t0;
//carry from position 2
t0 = (c2 + CARRY_ADD) >> 28;
c2 -= (t0 << 28);
c3 += t0;
//carry from position 3
t0 = (c3 + CARRY_ADD) >> 28;
c3 -= (t0 << 28);
c4 += t0;
//carry from position 4
t0 = (c4 + CARRY_ADD) >> 28;
c4 -= (t0 << 28);
c5 += t0;
//carry from position 5
t0 = (c5 + CARRY_ADD) >> 28;
c5 -= (t0 << 28);
c6 += t0;
//carry from position 6
t0 = (c6 + CARRY_ADD) >> 28;
c6 -= (t0 << 28);
c7 += t0;
//carry from position 7
t0 = (c7 + CARRY_ADD) >> 28;
c7 -= (t0 << 28);
c8 += t0;
//carry from position 8
t0 = (c8 + CARRY_ADD) >> 28;
c8 -= (t0 << 28);
c9 += t0;
//carry from position 9
t0 = (c9 + CARRY_ADD) >> 28;
c9 -= (t0 << 28);
c10 += t0;
//carry from position 10
t0 = (c10 + CARRY_ADD) >> 28;
c10 -= (t0 << 28);
c11 += t0;
//carry from position 11
t0 = (c11 + CARRY_ADD) >> 28;
c11 -= (t0 << 28);
c12 += t0;
//carry from position 12
t0 = (c12 + CARRY_ADD) >> 28;
c12 -= (t0 << 28);
c13 += t0;
//carry from position 13
t0 = (c13 + CARRY_ADD) >> 28;
c13 -= (t0 << 28);
c14 += t0;
//carry from position 14
t0 = (c14 + CARRY_ADD) >> 28;
c14 -= (t0 << 28);
c15 += t0;
//carry from position 15
t0 = (c15 + CARRY_ADD) >> 28;
c15 -= (t0 << 28);
c16 += t0;
//carry from position 16
t0 = (c16 + CARRY_ADD) >> 28;
c16 -= (t0 << 28);
c17 += t0;
//carry from position 17
t0 = (c17 + CARRY_ADD) >> 28;
c17 -= (t0 << 28);
c18 += t0;
r[0] = c0;
r[1] = c1;
r[2] = c2;
r[3] = c3;
r[4] = c4;
r[5] = c5;
r[6] = c6;
r[7] = c7;
r[8] = c8;
r[9] = c9;
r[10] = c10;
r[11] = c11;
r[12] = c12;
r[13] = c13;
r[14] = c14;
r[15] = c15;
r[16] = c16;
r[17] = c17;
r[18] = c18;
}
@Override
protected void mult(long[] a, long[] b, long[] r) {
long c0 = (a[0] * b[0]);
long c1 = (a[0] * b[1]) + (a[1] * b[0]);
long c2 = (a[0] * b[2]) + (a[1] * b[1]) + (a[2] * b[0]);
long c3 = (a[0] * b[3]) + (a[1] * b[2]) + (a[2] * b[1]) + (a[3] * b[0]);
long c4 = (a[0] * b[4]) + (a[1] * b[3]) + (a[2] * b[2]) + (a[3] * b[1]) + (a[4] * b[0]);
long c5 = (a[0] * b[5]) + (a[1] * b[4]) + (a[2] * b[3]) + (a[3] * b[2]) + (a[4] * b[1]) + (a[5] * b[0]);
long c6 = (a[0] * b[6]) + (a[1] * b[5]) + (a[2] * b[4]) + (a[3] * b[3]) + (a[4] * b[2]) + (a[5] * b[1]) + (a[6] * b[0]);
long c7 = (a[0] * b[7]) + (a[1] * b[6]) + (a[2] * b[5]) + (a[3] * b[4]) + (a[4] * b[3]) + (a[5] * b[2]) + (a[6] * b[1]) + (a[7] * b[0]);
long c8 = (a[0] * b[8]) + (a[1] * b[7]) + (a[2] * b[6]) + (a[3] * b[5]) + (a[4] * b[4]) + (a[5] * b[3]) + (a[6] * b[2]) + (a[7] * b[1]) + (a[8] * b[0]);
long c9 = (a[0] * b[9]) + (a[1] * b[8]) + (a[2] * b[7]) + (a[3] * b[6]) + (a[4] * b[5]) + (a[5] * b[4]) + (a[6] * b[3]) + (a[7] * b[2]) + (a[8] * b[1]) + (a[9] * b[0]);
long c10 = (a[0] * b[10]) + (a[1] * b[9]) + (a[2] * b[8]) + (a[3] * b[7]) + (a[4] * b[6]) + (a[5] * b[5]) + (a[6] * b[4]) + (a[7] * b[3]) + (a[8] * b[2]) + (a[9] * b[1]) + (a[10] * b[0]);
long c11 = (a[0] * b[11]) + (a[1] * b[10]) + (a[2] * b[9]) + (a[3] * b[8]) + (a[4] * b[7]) + (a[5] * b[6]) + (a[6] * b[5]) + (a[7] * b[4]) + (a[8] * b[3]) + (a[9] * b[2]) + (a[10] * b[1]) + (a[11] * b[0]);
long c12 = (a[0] * b[12]) + (a[1] * b[11]) + (a[2] * b[10]) + (a[3] * b[9]) + (a[4] * b[8]) + (a[5] * b[7]) + (a[6] * b[6]) + (a[7] * b[5]) + (a[8] * b[4]) + (a[9] * b[3]) + (a[10] * b[2]) + (a[11] * b[1]) + (a[12] * b[0]);
long c13 = (a[0] * b[13]) + (a[1] * b[12]) + (a[2] * b[11]) + (a[3] * b[10]) + (a[4] * b[9]) + (a[5] * b[8]) + (a[6] * b[7]) + (a[7] * b[6]) + (a[8] * b[5]) + (a[9] * b[4]) + (a[10] * b[3]) + (a[11] * b[2]) + (a[12] * b[1]) + (a[13] * b[0]);
long c14 = (a[0] * b[14]) + (a[1] * b[13]) + (a[2] * b[12]) + (a[3] * b[11]) + (a[4] * b[10]) + (a[5] * b[9]) + (a[6] * b[8]) + (a[7] * b[7]) + (a[8] * b[6]) + (a[9] * b[5]) + (a[10] * b[4]) + (a[11] * b[3]) + (a[12] * b[2]) + (a[13] * b[1]) + (a[14] * b[0]);
long c15 = (a[0] * b[15]) + (a[1] * b[14]) + (a[2] * b[13]) + (a[3] * b[12]) + (a[4] * b[11]) + (a[5] * b[10]) + (a[6] * b[9]) + (a[7] * b[8]) + (a[8] * b[7]) + (a[9] * b[6]) + (a[10] * b[5]) + (a[11] * b[4]) + (a[12] * b[3]) + (a[13] * b[2]) + (a[14] * b[1]) + (a[15] * b[0]);
long c16 = (a[0] * b[16]) + (a[1] * b[15]) + (a[2] * b[14]) + (a[3] * b[13]) + (a[4] * b[12]) + (a[5] * b[11]) + (a[6] * b[10]) + (a[7] * b[9]) + (a[8] * b[8]) + (a[9] * b[7]) + (a[10] * b[6]) + (a[11] * b[5]) + (a[12] * b[4]) + (a[13] * b[3]) + (a[14] * b[2]) + (a[15] * b[1]) + (a[16] * b[0]);
long c17 = (a[0] * b[17]) + (a[1] * b[16]) + (a[2] * b[15]) + (a[3] * b[14]) + (a[4] * b[13]) + (a[5] * b[12]) + (a[6] * b[11]) + (a[7] * b[10]) + (a[8] * b[9]) + (a[9] * b[8]) + (a[10] * b[7]) + (a[11] * b[6]) + (a[12] * b[5]) + (a[13] * b[4]) + (a[14] * b[3]) + (a[15] * b[2]) + (a[16] * b[1]) + (a[17] * b[0]);
long c18 = (a[0] * b[18]) + (a[1] * b[17]) + (a[2] * b[16]) + (a[3] * b[15]) + (a[4] * b[14]) + (a[5] * b[13]) + (a[6] * b[12]) + (a[7] * b[11]) + (a[8] * b[10]) + (a[9] * b[9]) + (a[10] * b[8]) + (a[11] * b[7]) + (a[12] * b[6]) + (a[13] * b[5]) + (a[14] * b[4]) + (a[15] * b[3]) + (a[16] * b[2]) + (a[17] * b[1]) + (a[18] * b[0]);
long c19 = (a[1] * b[18]) + (a[2] * b[17]) + (a[3] * b[16]) + (a[4] * b[15]) + (a[5] * b[14]) + (a[6] * b[13]) + (a[7] * b[12]) + (a[8] * b[11]) + (a[9] * b[10]) + (a[10] * b[9]) + (a[11] * b[8]) + (a[12] * b[7]) + (a[13] * b[6]) + (a[14] * b[5]) + (a[15] * b[4]) + (a[16] * b[3]) + (a[17] * b[2]) + (a[18] * b[1]);
long c20 = (a[2] * b[18]) + (a[3] * b[17]) + (a[4] * b[16]) + (a[5] * b[15]) + (a[6] * b[14]) + (a[7] * b[13]) + (a[8] * b[12]) + (a[9] * b[11]) + (a[10] * b[10]) + (a[11] * b[9]) + (a[12] * b[8]) + (a[13] * b[7]) + (a[14] * b[6]) + (a[15] * b[5]) + (a[16] * b[4]) + (a[17] * b[3]) + (a[18] * b[2]);
long c21 = (a[3] * b[18]) + (a[4] * b[17]) + (a[5] * b[16]) + (a[6] * b[15]) + (a[7] * b[14]) + (a[8] * b[13]) + (a[9] * b[12]) + (a[10] * b[11]) + (a[11] * b[10]) + (a[12] * b[9]) + (a[13] * b[8]) + (a[14] * b[7]) + (a[15] * b[6]) + (a[16] * b[5]) + (a[17] * b[4]) + (a[18] * b[3]);
long c22 = (a[4] * b[18]) + (a[5] * b[17]) + (a[6] * b[16]) + (a[7] * b[15]) + (a[8] * b[14]) + (a[9] * b[13]) + (a[10] * b[12]) + (a[11] * b[11]) + (a[12] * b[10]) + (a[13] * b[9]) + (a[14] * b[8]) + (a[15] * b[7]) + (a[16] * b[6]) + (a[17] * b[5]) + (a[18] * b[4]);
long c23 = (a[5] * b[18]) + (a[6] * b[17]) + (a[7] * b[16]) + (a[8] * b[15]) + (a[9] * b[14]) + (a[10] * b[13]) + (a[11] * b[12]) + (a[12] * b[11]) + (a[13] * b[10]) + (a[14] * b[9]) + (a[15] * b[8]) + (a[16] * b[7]) + (a[17] * b[6]) + (a[18] * b[5]);
long c24 = (a[6] * b[18]) + (a[7] * b[17]) + (a[8] * b[16]) + (a[9] * b[15]) + (a[10] * b[14]) + (a[11] * b[13]) + (a[12] * b[12]) + (a[13] * b[11]) + (a[14] * b[10]) + (a[15] * b[9]) + (a[16] * b[8]) + (a[17] * b[7]) + (a[18] * b[6]);
long c25 = (a[7] * b[18]) + (a[8] * b[17]) + (a[9] * b[16]) + (a[10] * b[15]) + (a[11] * b[14]) + (a[12] * b[13]) + (a[13] * b[12]) + (a[14] * b[11]) + (a[15] * b[10]) + (a[16] * b[9]) + (a[17] * b[8]) + (a[18] * b[7]);
long c26 = (a[8] * b[18]) + (a[9] * b[17]) + (a[10] * b[16]) + (a[11] * b[15]) + (a[12] * b[14]) + (a[13] * b[13]) + (a[14] * b[12]) + (a[15] * b[11]) + (a[16] * b[10]) + (a[17] * b[9]) + (a[18] * b[8]);
long c27 = (a[9] * b[18]) + (a[10] * b[17]) + (a[11] * b[16]) + (a[12] * b[15]) + (a[13] * b[14]) + (a[14] * b[13]) + (a[15] * b[12]) + (a[16] * b[11]) + (a[17] * b[10]) + (a[18] * b[9]);
long c28 = (a[10] * b[18]) + (a[11] * b[17]) + (a[12] * b[16]) + (a[13] * b[15]) + (a[14] * b[14]) + (a[15] * b[13]) + (a[16] * b[12]) + (a[17] * b[11]) + (a[18] * b[10]);
long c29 = (a[11] * b[18]) + (a[12] * b[17]) + (a[13] * b[16]) + (a[14] * b[15]) + (a[15] * b[14]) + (a[16] * b[13]) + (a[17] * b[12]) + (a[18] * b[11]);
long c30 = (a[12] * b[18]) + (a[13] * b[17]) + (a[14] * b[16]) + (a[15] * b[15]) + (a[16] * b[14]) + (a[17] * b[13]) + (a[18] * b[12]);
long c31 = (a[13] * b[18]) + (a[14] * b[17]) + (a[15] * b[16]) + (a[16] * b[15]) + (a[17] * b[14]) + (a[18] * b[13]);
long c32 = (a[14] * b[18]) + (a[15] * b[17]) + (a[16] * b[16]) + (a[17] * b[15]) + (a[18] * b[14]);
long c33 = (a[15] * b[18]) + (a[16] * b[17]) + (a[17] * b[16]) + (a[18] * b[15]);
long c34 = (a[16] * b[18]) + (a[17] * b[17]) + (a[18] * b[16]);
long c35 = (a[17] * b[18]) + (a[18] * b[17]);
long c36 = (a[18] * b[18]);
carryReduce(r, c0, c1, c2, c3, c4, c5, c6, c7, c8, c9, c10, c11, c12, c13, c14, c15, c16, c17, c18, c19, c20, c21, c22, c23, c24, c25, c26, c27, c28, c29, c30, c31, c32, c33, c34, c35, c36);
}
@Override
protected void reduce(long[] a) {
carryReduce(a, a[0], a[1], a[2], a[3], a[4], a[5], a[6], a[7], a[8], a[9], a[10], a[11], a[12], a[13], a[14], a[15], a[16], a[17], a[18]);
}
@Override
protected void square(long[] a, long[] r) {
long c0 = (a[0] * a[0]);
long c1 = 2 * ((a[0] * a[1]));
long c2 = 2 * ((a[0] * a[2])) + (a[1] * a[1]);
long c3 = 2 * ((a[0] * a[3]) + (a[1] * a[2]));
long c4 = 2 * ((a[0] * a[4]) + (a[1] * a[3])) + (a[2] * a[2]);
long c5 = 2 * ((a[0] * a[5]) + (a[1] * a[4]) + (a[2] * a[3]));
long c6 = 2 * ((a[0] * a[6]) + (a[1] * a[5]) + (a[2] * a[4])) + (a[3] * a[3]);
long c7 = 2 * ((a[0] * a[7]) + (a[1] * a[6]) + (a[2] * a[5]) + (a[3] * a[4]));
long c8 = 2 * ((a[0] * a[8]) + (a[1] * a[7]) + (a[2] * a[6]) + (a[3] * a[5])) + (a[4] * a[4]);
long c9 = 2 * ((a[0] * a[9]) + (a[1] * a[8]) + (a[2] * a[7]) + (a[3] * a[6]) + (a[4] * a[5]));
long c10 = 2 * ((a[0] * a[10]) + (a[1] * a[9]) + (a[2] * a[8]) + (a[3] * a[7]) + (a[4] * a[6])) + (a[5] * a[5]);
long c11 = 2 * ((a[0] * a[11]) + (a[1] * a[10]) + (a[2] * a[9]) + (a[3] * a[8]) + (a[4] * a[7]) + (a[5] * a[6]));
long c12 = 2 * ((a[0] * a[12]) + (a[1] * a[11]) + (a[2] * a[10]) + (a[3] * a[9]) + (a[4] * a[8]) + (a[5] * a[7])) + (a[6] * a[6]);
long c13 = 2 * ((a[0] * a[13]) + (a[1] * a[12]) + (a[2] * a[11]) + (a[3] * a[10]) + (a[4] * a[9]) + (a[5] * a[8]) + (a[6] * a[7]));
long c14 = 2 * ((a[0] * a[14]) + (a[1] * a[13]) + (a[2] * a[12]) + (a[3] * a[11]) + (a[4] * a[10]) + (a[5] * a[9]) + (a[6] * a[8])) + (a[7] * a[7]);
long c15 = 2 * ((a[0] * a[15]) + (a[1] * a[14]) + (a[2] * a[13]) + (a[3] * a[12]) + (a[4] * a[11]) + (a[5] * a[10]) + (a[6] * a[9]) + (a[7] * a[8]));
long c16 = 2 * ((a[0] * a[16]) + (a[1] * a[15]) + (a[2] * a[14]) + (a[3] * a[13]) + (a[4] * a[12]) + (a[5] * a[11]) + (a[6] * a[10]) + (a[7] * a[9])) + (a[8] * a[8]);
long c17 = 2 * ((a[0] * a[17]) + (a[1] * a[16]) + (a[2] * a[15]) + (a[3] * a[14]) + (a[4] * a[13]) + (a[5] * a[12]) + (a[6] * a[11]) + (a[7] * a[10]) + (a[8] * a[9]));
long c18 = 2 * ((a[0] * a[18]) + (a[1] * a[17]) + (a[2] * a[16]) + (a[3] * a[15]) + (a[4] * a[14]) + (a[5] * a[13]) + (a[6] * a[12]) + (a[7] * a[11]) + (a[8] * a[10])) + (a[9] * a[9]);
long c19 = 2 * ((a[1] * a[18]) + (a[2] * a[17]) + (a[3] * a[16]) + (a[4] * a[15]) + (a[5] * a[14]) + (a[6] * a[13]) + (a[7] * a[12]) + (a[8] * a[11]) + (a[9] * a[10]));
long c20 = 2 * ((a[2] * a[18]) + (a[3] * a[17]) + (a[4] * a[16]) + (a[5] * a[15]) + (a[6] * a[14]) + (a[7] * a[13]) + (a[8] * a[12]) + (a[9] * a[11])) + (a[10] * a[10]);
long c21 = 2 * ((a[3] * a[18]) + (a[4] * a[17]) + (a[5] * a[16]) + (a[6] * a[15]) + (a[7] * a[14]) + (a[8] * a[13]) + (a[9] * a[12]) + (a[10] * a[11]));
long c22 = 2 * ((a[4] * a[18]) + (a[5] * a[17]) + (a[6] * a[16]) + (a[7] * a[15]) + (a[8] * a[14]) + (a[9] * a[13]) + (a[10] * a[12])) + (a[11] * a[11]);
long c23 = 2 * ((a[5] * a[18]) + (a[6] * a[17]) + (a[7] * a[16]) + (a[8] * a[15]) + (a[9] * a[14]) + (a[10] * a[13]) + (a[11] * a[12]));
long c24 = 2 * ((a[6] * a[18]) + (a[7] * a[17]) + (a[8] * a[16]) + (a[9] * a[15]) + (a[10] * a[14]) + (a[11] * a[13])) + (a[12] * a[12]);
long c25 = 2 * ((a[7] * a[18]) + (a[8] * a[17]) + (a[9] * a[16]) + (a[10] * a[15]) + (a[11] * a[14]) + (a[12] * a[13]));
long c26 = 2 * ((a[8] * a[18]) + (a[9] * a[17]) + (a[10] * a[16]) + (a[11] * a[15]) + (a[12] * a[14])) + (a[13] * a[13]);
long c27 = 2 * ((a[9] * a[18]) + (a[10] * a[17]) + (a[11] * a[16]) + (a[12] * a[15]) + (a[13] * a[14]));
long c28 = 2 * ((a[10] * a[18]) + (a[11] * a[17]) + (a[12] * a[16]) + (a[13] * a[15])) + (a[14] * a[14]);
long c29 = 2 * ((a[11] * a[18]) + (a[12] * a[17]) + (a[13] * a[16]) + (a[14] * a[15]));
long c30 = 2 * ((a[12] * a[18]) + (a[13] * a[17]) + (a[14] * a[16])) + (a[15] * a[15]);
long c31 = 2 * ((a[13] * a[18]) + (a[14] * a[17]) + (a[15] * a[16]));
long c32 = 2 * ((a[14] * a[18]) + (a[15] * a[17])) + (a[16] * a[16]);
long c33 = 2 * ((a[15] * a[18]) + (a[16] * a[17]));
long c34 = 2 * ((a[16] * a[18])) + (a[17] * a[17]);
long c35 = 2 * ((a[17] * a[18]));
long c36 = (a[18] * a[18]);
carryReduce(r, c0, c1, c2, c3, c4, c5, c6, c7, c8, c9, c10, c11, c12, c13, c14, c15, c16, c17, c18, c19, c20, c21, c22, c23, c24, c25, c26, c27, c28, c29, c30, c31, c32, c33, c34, c35, c36);
}
}

673
src/java.base/share/classes/sun/security/util/math/intpoly/P256OrderField.java
View File

@ -1,673 +0,0 @@
/*
* Copyright (c) 2018, Oracle and/or its affiliates. All rights reserved.
* DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER.
*
* This code is free software; you can redistribute it and/or modify it
* under the terms of the GNU General Public License version 2 only, as
* published by the Free Software Foundation. Oracle designates this
* particular file as subject to the "Classpath" exception as provided
* by Oracle in the LICENSE file that accompanied this code.
*
* This code is distributed in the hope that it will be useful, but WITHOUT
* ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
* FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
* version 2 for more details (a copy is included in the LICENSE file that
* accompanied this code).
*
* You should have received a copy of the GNU General Public License version
* 2 along with this work; if not, write to the Free Software Foundation,
* Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA.
*
* Please contact Oracle, 500 Oracle Parkway, Redwood Shores, CA 94065 USA
* or visit www.oracle.com if you need additional information or have any
* questions.
*/
/*
* This file is generated by FieldGen.jsh. Do not modify it directly.
*/
package sun.security.util.math.intpoly;
import java.math.BigInteger;
public class P256OrderField extends IntegerPolynomial {
private static final int BITS_PER_LIMB = 26;
private static final int NUM_LIMBS = 10;
private static final int MAX_ADDS = 1;
public static final BigInteger MODULUS = evaluateModulus();
private static final long CARRY_ADD = 1 << 25;
private static final int LIMB_MASK = -1 >>> (64 - BITS_PER_LIMB);
public P256OrderField() {
super(BITS_PER_LIMB, NUM_LIMBS, MAX_ADDS, MODULUS);
}
private static BigInteger evaluateModulus() {
BigInteger result = BigInteger.valueOf(2).pow(256);
result = result.add(BigInteger.valueOf(6497617));
result = result.subtract(BigInteger.valueOf(2).pow(26).multiply(BigInteger.valueOf(26038081)));
result = result.add(BigInteger.valueOf(2).pow(52).multiply(BigInteger.valueOf(32001852)));
result = result.subtract(BigInteger.valueOf(2).pow(78).multiply(BigInteger.valueOf(21586850)));
result = result.subtract(BigInteger.valueOf(2).pow(104).multiply(BigInteger.valueOf(4397317)));
result = result.add(BigInteger.valueOf(2).pow(182).multiply(BigInteger.valueOf(1024)));
result = result.subtract(BigInteger.valueOf(2).pow(208).multiply(BigInteger.valueOf(65536)));
return result;
}
@Override
protected void finalCarryReduceLast(long[] limbs) {
long c = limbs[9] >> 22;
limbs[9] -= c << 22;
long t0 = -6497617 * c;
limbs[0] += t0;
t0 = 26038081 * c;
limbs[1] += t0;
t0 = -32001852 * c;
limbs[2] += t0;
t0 = 21586850 * c;
limbs[3] += t0;
t0 = 4397317 * c;
limbs[4] += t0;
t0 = -1024 * c;
limbs[7] += t0;
t0 = 65536 * c;
limbs[8] += t0;
}
private void carryReduce(long[] r, long c0, long c1, long c2, long c3, long c4, long c5, long c6, long c7, long c8, long c9, long c10, long c11, long c12, long c13, long c14, long c15, long c16, long c17, long c18) {
long c19 = 0;
//carry from position 0
long t0 = (c0 + CARRY_ADD) >> 26;
c0 -= (t0 << 26);
c1 += t0;
//carry from position 1
t0 = (c1 + CARRY_ADD) >> 26;
c1 -= (t0 << 26);
c2 += t0;
//carry from position 2
t0 = (c2 + CARRY_ADD) >> 26;
c2 -= (t0 << 26);
c3 += t0;
//carry from position 3
t0 = (c3 + CARRY_ADD) >> 26;
c3 -= (t0 << 26);
c4 += t0;
//carry from position 4
t0 = (c4 + CARRY_ADD) >> 26;
c4 -= (t0 << 26);
c5 += t0;
//carry from position 5
t0 = (c5 + CARRY_ADD) >> 26;
c5 -= (t0 << 26);
c6 += t0;
//carry from position 6
t0 = (c6 + CARRY_ADD) >> 26;
c6 -= (t0 << 26);
c7 += t0;
//carry from position 7
t0 = (c7 + CARRY_ADD) >> 26;
c7 -= (t0 << 26);
c8 += t0;
//carry from position 8
t0 = (c8 + CARRY_ADD) >> 26;
c8 -= (t0 << 26);
c9 += t0;
//carry from position 9
t0 = (c9 + CARRY_ADD) >> 26;
c9 -= (t0 << 26);
c10 += t0;
//carry from position 10
t0 = (c10 + CARRY_ADD) >> 26;
c10 -= (t0 << 26);
c11 += t0;
//carry from position 11
t0 = (c11 + CARRY_ADD) >> 26;
c11 -= (t0 << 26);
c12 += t0;
//carry from position 12
t0 = (c12 + CARRY_ADD) >> 26;
c12 -= (t0 << 26);
c13 += t0;
//carry from position 13
t0 = (c13 + CARRY_ADD) >> 26;
c13 -= (t0 << 26);
c14 += t0;
//carry from position 14
t0 = (c14 + CARRY_ADD) >> 26;
c14 -= (t0 << 26);
c15 += t0;
//carry from position 15
t0 = (c15 + CARRY_ADD) >> 26;
c15 -= (t0 << 26);
c16 += t0;
//carry from position 16
t0 = (c16 + CARRY_ADD) >> 26;
c16 -= (t0 << 26);
c17 += t0;
//carry from position 17
t0 = (c17 + CARRY_ADD) >> 26;
c17 -= (t0 << 26);
c18 += t0;
//carry from position 18
t0 = (c18 + CARRY_ADD) >> 26;
c18 -= (t0 << 26);
c19 += t0;
carryReduce0(r, c0, c1, c2, c3, c4, c5, c6, c7, c8, c9, c10, c11, c12, c13, c14, c15, c16, c17, c18, c19);
}
void carryReduce0(long[] r, long c0, long c1, long c2, long c3, long c4, long c5, long c6, long c7, long c8, long c9, long c10, long c11, long c12, long c13, long c14, long c15, long c16, long c17, long c18, long c19) {
long t0;
//reduce from position 19
t0 = -6497617 * c19;
c9 += (t0 << 4) & LIMB_MASK;
c10 += t0 >> 22;
t0 = 26038081 * c19;
c10 += (t0 << 4) & LIMB_MASK;
c11 += t0 >> 22;
t0 = -32001852 * c19;
c11 += (t0 << 4) & LIMB_MASK;
c12 += t0 >> 22;
t0 = 21586850 * c19;
c12 += (t0 << 4) & LIMB_MASK;
c13 += t0 >> 22;
t0 = 4397317 * c19;
c13 += (t0 << 4) & LIMB_MASK;
c14 += t0 >> 22;
t0 = -1024 * c19;
c16 += (t0 << 4) & LIMB_MASK;
c17 += t0 >> 22;
t0 = 65536 * c19;
c17 += (t0 << 4) & LIMB_MASK;
c18 += t0 >> 22;
//reduce from position 18
t0 = -6497617 * c18;
c8 += (t0 << 4) & LIMB_MASK;
c9 += t0 >> 22;
t0 = 26038081 * c18;
c9 += (t0 << 4) & LIMB_MASK;
c10 += t0 >> 22;
t0 = -32001852 * c18;
c10 += (t0 << 4) & LIMB_MASK;
c11 += t0 >> 22;
t0 = 21586850 * c18;
c11 += (t0 << 4) & LIMB_MASK;
c12 += t0 >> 22;
t0 = 4397317 * c18;
c12 += (t0 << 4) & LIMB_MASK;
c13 += t0 >> 22;
t0 = -1024 * c18;
c15 += (t0 << 4) & LIMB_MASK;
c16 += t0 >> 22;
t0 = 65536 * c18;
c16 += (t0 << 4) & LIMB_MASK;
c17 += t0 >> 22;
//reduce from position 17
t0 = -6497617 * c17;
c7 += (t0 << 4) & LIMB_MASK;
c8 += t0 >> 22;
t0 = 26038081 * c17;
c8 += (t0 << 4) & LIMB_MASK;
c9 += t0 >> 22;
t0 = -32001852 * c17;
c9 += (t0 << 4) & LIMB_MASK;
c10 += t0 >> 22;
t0 = 21586850 * c17;
c10 += (t0 << 4) & LIMB_MASK;
c11 += t0 >> 22;
t0 = 4397317 * c17;
c11 += (t0 << 4) & LIMB_MASK;
c12 += t0 >> 22;
t0 = -1024 * c17;
c14 += (t0 << 4) & LIMB_MASK;
c15 += t0 >> 22;
t0 = 65536 * c17;
c15 += (t0 << 4) & LIMB_MASK;
c16 += t0 >> 22;
//reduce from position 16
t0 = -6497617 * c16;
c6 += (t0 << 4) & LIMB_MASK;
c7 += t0 >> 22;
t0 = 26038081 * c16;
c7 += (t0 << 4) & LIMB_MASK;
c8 += t0 >> 22;
t0 = -32001852 * c16;
c8 += (t0 << 4) & LIMB_MASK;
c9 += t0 >> 22;
t0 = 21586850 * c16;
c9 += (t0 << 4) & LIMB_MASK;
c10 += t0 >> 22;
t0 = 4397317 * c16;
c10 += (t0 << 4) & LIMB_MASK;
c11 += t0 >> 22;
t0 = -1024 * c16;
c13 += (t0 << 4) & LIMB_MASK;
c14 += t0 >> 22;
t0 = 65536 * c16;
c14 += (t0 << 4) & LIMB_MASK;
c15 += t0 >> 22;
//reduce from position 15
t0 = -6497617 * c15;
c5 += (t0 << 4) & LIMB_MASK;
c6 += t0 >> 22;
t0 = 26038081 * c15;
c6 += (t0 << 4) & LIMB_MASK;
c7 += t0 >> 22;
t0 = -32001852 * c15;
c7 += (t0 << 4) & LIMB_MASK;
c8 += t0 >> 22;
t0 = 21586850 * c15;
c8 += (t0 << 4) & LIMB_MASK;
c9 += t0 >> 22;
t0 = 4397317 * c15;
c9 += (t0 << 4) & LIMB_MASK;
c10 += t0 >> 22;
t0 = -1024 * c15;
c12 += (t0 << 4) & LIMB_MASK;
c13 += t0 >> 22;
t0 = 65536 * c15;
c13 += (t0 << 4) & LIMB_MASK;
c14 += t0 >> 22;
//reduce from position 14
t0 = -6497617 * c14;
c4 += (t0 << 4) & LIMB_MASK;
c5 += t0 >> 22;
t0 = 26038081 * c14;
c5 += (t0 << 4) & LIMB_MASK;
c6 += t0 >> 22;
t0 = -32001852 * c14;
c6 += (t0 << 4) & LIMB_MASK;
c7 += t0 >> 22;
t0 = 21586850 * c14;
c7 += (t0 << 4) & LIMB_MASK;
c8 += t0 >> 22;
t0 = 4397317 * c14;
c8 += (t0 << 4) & LIMB_MASK;
c9 += t0 >> 22;
t0 = -1024 * c14;
c11 += (t0 << 4) & LIMB_MASK;
c12 += t0 >> 22;
t0 = 65536 * c14;
c12 += (t0 << 4) & LIMB_MASK;
c13 += t0 >> 22;
//reduce from position 13
t0 = -6497617 * c13;
c3 += (t0 << 4) & LIMB_MASK;
c4 += t0 >> 22;
t0 = 26038081 * c13;
c4 += (t0 << 4) & LIMB_MASK;
c5 += t0 >> 22;
t0 = -32001852 * c13;
c5 += (t0 << 4) & LIMB_MASK;
c6 += t0 >> 22;
t0 = 21586850 * c13;
c6 += (t0 << 4) & LIMB_MASK;
c7 += t0 >> 22;
t0 = 4397317 * c13;
c7 += (t0 << 4) & LIMB_MASK;
c8 += t0 >> 22;
t0 = -1024 * c13;
c10 += (t0 << 4) & LIMB_MASK;
c11 += t0 >> 22;
t0 = 65536 * c13;
c11 += (t0 << 4) & LIMB_MASK;
c12 += t0 >> 22;
//reduce from position 12
t0 = -6497617 * c12;
c2 += (t0 << 4) & LIMB_MASK;
c3 += t0 >> 22;
t0 = 26038081 * c12;
c3 += (t0 << 4) & LIMB_MASK;
c4 += t0 >> 22;
t0 = -32001852 * c12;
c4 += (t0 << 4) & LIMB_MASK;
c5 += t0 >> 22;
t0 = 21586850 * c12;
c5 += (t0 << 4) & LIMB_MASK;
c6 += t0 >> 22;
t0 = 4397317 * c12;
c6 += (t0 << 4) & LIMB_MASK;
c7 += t0 >> 22;
t0 = -1024 * c12;
c9 += (t0 << 4) & LIMB_MASK;
c10 += t0 >> 22;
t0 = 65536 * c12;
c10 += (t0 << 4) & LIMB_MASK;
c11 += t0 >> 22;
//reduce from position 11
t0 = -6497617 * c11;
c1 += (t0 << 4) & LIMB_MASK;
c2 += t0 >> 22;
t0 = 26038081 * c11;
c2 += (t0 << 4) & LIMB_MASK;
c3 += t0 >> 22;
t0 = -32001852 * c11;
c3 += (t0 << 4) & LIMB_MASK;
c4 += t0 >> 22;
t0 = 21586850 * c11;
c4 += (t0 << 4) & LIMB_MASK;
c5 += t0 >> 22;
t0 = 4397317 * c11;
c5 += (t0 << 4) & LIMB_MASK;
c6 += t0 >> 22;
t0 = -1024 * c11;
c8 += (t0 << 4) & LIMB_MASK;
c9 += t0 >> 22;
t0 = 65536 * c11;
c9 += (t0 << 4) & LIMB_MASK;
c10 += t0 >> 22;
//reduce from position 10
t0 = -6497617 * c10;
c0 += (t0 << 4) & LIMB_MASK;
c1 += t0 >> 22;
t0 = 26038081 * c10;
c1 += (t0 << 4) & LIMB_MASK;
c2 += t0 >> 22;
t0 = -32001852 * c10;
c2 += (t0 << 4) & LIMB_MASK;
c3 += t0 >> 22;
t0 = 21586850 * c10;
c3 += (t0 << 4) & LIMB_MASK;
c4 += t0 >> 22;
t0 = 4397317 * c10;
c4 += (t0 << 4) & LIMB_MASK;
c5 += t0 >> 22;
t0 = -1024 * c10;
c7 += (t0 << 4) & LIMB_MASK;
c8 += t0 >> 22;
t0 = 65536 * c10;
c8 += (t0 << 4) & LIMB_MASK;
c9 += t0 >> 22;
c10 = 0;
carryReduce1(r, c0, c1, c2, c3, c4, c5, c6, c7, c8, c9, c10, c11, c12, c13, c14, c15, c16, c17, c18, c19);
}
void carryReduce1(long[] r, long c0, long c1, long c2, long c3, long c4, long c5, long c6, long c7, long c8, long c9, long c10, long c11, long c12, long c13, long c14, long c15, long c16, long c17, long c18, long c19) {
long t0;
//carry from position 0
t0 = (c0 + CARRY_ADD) >> 26;
c0 -= (t0 << 26);
c1 += t0;
//carry from position 1
t0 = (c1 + CARRY_ADD) >> 26;
c1 -= (t0 << 26);
c2 += t0;
//carry from position 2
t0 = (c2 + CARRY_ADD) >> 26;
c2 -= (t0 << 26);
c3 += t0;
//carry from position 3
t0 = (c3 + CARRY_ADD) >> 26;
c3 -= (t0 << 26);
c4 += t0;
//carry from position 4
t0 = (c4 + CARRY_ADD) >> 26;
c4 -= (t0 << 26);
c5 += t0;
//carry from position 5
t0 = (c5 + CARRY_ADD) >> 26;
c5 -= (t0 << 26);
c6 += t0;
//carry from position 6
t0 = (c6 + CARRY_ADD) >> 26;
c6 -= (t0 << 26);
c7 += t0;
//carry from position 7
t0 = (c7 + CARRY_ADD) >> 26;
c7 -= (t0 << 26);
c8 += t0;
//carry from position 8
t0 = (c8 + CARRY_ADD) >> 26;
c8 -= (t0 << 26);
c9 += t0;
//carry from position 9
t0 = (c9 + CARRY_ADD) >> 26;
c9 -= (t0 << 26);
c10 += t0;
carryReduce2(r, c0, c1, c2, c3, c4, c5, c6, c7, c8, c9, c10, c11, c12, c13, c14, c15, c16, c17, c18, c19);
}
void carryReduce2(long[] r, long c0, long c1, long c2, long c3, long c4, long c5, long c6, long c7, long c8, long c9, long c10, long c11, long c12, long c13, long c14, long c15, long c16, long c17, long c18, long c19) {
long t0;
//reduce from position 10
t0 = -6497617 * c10;
c0 += (t0 << 4) & LIMB_MASK;
c1 += t0 >> 22;
t0 = 26038081 * c10;
c1 += (t0 << 4) & LIMB_MASK;
c2 += t0 >> 22;
t0 = -32001852 * c10;
c2 += (t0 << 4) & LIMB_MASK;
c3 += t0 >> 22;
t0 = 21586850 * c10;
c3 += (t0 << 4) & LIMB_MASK;
c4 += t0 >> 22;
t0 = 4397317 * c10;
c4 += (t0 << 4) & LIMB_MASK;
c5 += t0 >> 22;
t0 = -1024 * c10;
c7 += (t0 << 4) & LIMB_MASK;
c8 += t0 >> 22;
t0 = 65536 * c10;
c8 += (t0 << 4) & LIMB_MASK;
c9 += t0 >> 22;
//carry from position 0
t0 = (c0 + CARRY_ADD) >> 26;
c0 -= (t0 << 26);
c1 += t0;
//carry from position 1
t0 = (c1 + CARRY_ADD) >> 26;
c1 -= (t0 << 26);
c2 += t0;
//carry from position 2
t0 = (c2 + CARRY_ADD) >> 26;
c2 -= (t0 << 26);
c3 += t0;
//carry from position 3
t0 = (c3 + CARRY_ADD) >> 26;
c3 -= (t0 << 26);
c4 += t0;
//carry from position 4
t0 = (c4 + CARRY_ADD) >> 26;
c4 -= (t0 << 26);
c5 += t0;
//carry from position 5
t0 = (c5 + CARRY_ADD) >> 26;
c5 -= (t0 << 26);
c6 += t0;
//carry from position 6
t0 = (c6 + CARRY_ADD) >> 26;
c6 -= (t0 << 26);
c7 += t0;
//carry from position 7
t0 = (c7 + CARRY_ADD) >> 26;
c7 -= (t0 << 26);
c8 += t0;
//carry from position 8
t0 = (c8 + CARRY_ADD) >> 26;
c8 -= (t0 << 26);
c9 += t0;
r[0] = c0;
r[1] = c1;
r[2] = c2;
r[3] = c3;
r[4] = c4;
r[5] = c5;
r[6] = c6;
r[7] = c7;
r[8] = c8;
r[9] = c9;
}
private void carryReduce(long[] r, long c0, long c1, long c2, long c3, long c4, long c5, long c6, long c7, long c8, long c9) {
long c10 = 0;
//carry from position 0
long t0 = (c0 + CARRY_ADD) >> 26;
c0 -= (t0 << 26);
c1 += t0;
//carry from position 1
t0 = (c1 + CARRY_ADD) >> 26;
c1 -= (t0 << 26);
c2 += t0;
//carry from position 2
t0 = (c2 + CARRY_ADD) >> 26;
c2 -= (t0 << 26);
c3 += t0;
//carry from position 3
t0 = (c3 + CARRY_ADD) >> 26;
c3 -= (t0 << 26);
c4 += t0;
//carry from position 4
t0 = (c4 + CARRY_ADD) >> 26;
c4 -= (t0 << 26);
c5 += t0;
//carry from position 5
t0 = (c5 + CARRY_ADD) >> 26;
c5 -= (t0 << 26);
c6 += t0;
//carry from position 6
t0 = (c6 + CARRY_ADD) >> 26;
c6 -= (t0 << 26);
c7 += t0;
//carry from position 7
t0 = (c7 + CARRY_ADD) >> 26;
c7 -= (t0 << 26);
c8 += t0;
//carry from position 8
t0 = (c8 + CARRY_ADD) >> 26;
c8 -= (t0 << 26);
c9 += t0;
//carry from position 9
t0 = (c9 + CARRY_ADD) >> 26;
c9 -= (t0 << 26);
c10 += t0;
carryReduce0(r, c0, c1, c2, c3, c4, c5, c6, c7, c8, c9, c10);
}
void carryReduce0(long[] r, long c0, long c1, long c2, long c3, long c4, long c5, long c6, long c7, long c8, long c9, long c10) {
long t0;
//reduce from position 10
t0 = -6497617 * c10;
c0 += (t0 << 4) & LIMB_MASK;
c1 += t0 >> 22;
t0 = 26038081 * c10;
c1 += (t0 << 4) & LIMB_MASK;
c2 += t0 >> 22;
t0 = -32001852 * c10;
c2 += (t0 << 4) & LIMB_MASK;
c3 += t0 >> 22;
t0 = 21586850 * c10;
c3 += (t0 << 4) & LIMB_MASK;
c4 += t0 >> 22;
t0 = 4397317 * c10;
c4 += (t0 << 4) & LIMB_MASK;
c5 += t0 >> 22;
t0 = -1024 * c10;
c7 += (t0 << 4) & LIMB_MASK;
c8 += t0 >> 22;
t0 = 65536 * c10;
c8 += (t0 << 4) & LIMB_MASK;
c9 += t0 >> 22;
//carry from position 0
t0 = (c0 + CARRY_ADD) >> 26;
c0 -= (t0 << 26);
c1 += t0;
//carry from position 1
t0 = (c1 + CARRY_ADD) >> 26;
c1 -= (t0 << 26);
c2 += t0;
//carry from position 2
t0 = (c2 + CARRY_ADD) >> 26;
c2 -= (t0 << 26);
c3 += t0;
//carry from position 3
t0 = (c3 + CARRY_ADD) >> 26;
c3 -= (t0 << 26);
c4 += t0;
//carry from position 4
t0 = (c4 + CARRY_ADD) >> 26;
c4 -= (t0 << 26);
c5 += t0;
//carry from position 5
t0 = (c5 + CARRY_ADD) >> 26;
c5 -= (t0 << 26);
c6 += t0;
//carry from position 6
t0 = (c6 + CARRY_ADD) >> 26;
c6 -= (t0 << 26);
c7 += t0;
//carry from position 7
t0 = (c7 + CARRY_ADD) >> 26;
c7 -= (t0 << 26);
c8 += t0;
//carry from position 8
t0 = (c8 + CARRY_ADD) >> 26;
c8 -= (t0 << 26);
c9 += t0;
r[0] = c0;
r[1] = c1;
r[2] = c2;
r[3] = c3;
r[4] = c4;
r[5] = c5;
r[6] = c6;
r[7] = c7;
r[8] = c8;
r[9] = c9;
}
@Override
protected void mult(long[] a, long[] b, long[] r) {
long c0 = (a[0] * b[0]);
long c1 = (a[0] * b[1]) + (a[1] * b[0]);
long c2 = (a[0] * b[2]) + (a[1] * b[1]) + (a[2] * b[0]);
long c3 = (a[0] * b[3]) + (a[1] * b[2]) + (a[2] * b[1]) + (a[3] * b[0]);
long c4 = (a[0] * b[4]) + (a[1] * b[3]) + (a[2] * b[2]) + (a[3] * b[1]) + (a[4] * b[0]);
long c5 = (a[0] * b[5]) + (a[1] * b[4]) + (a[2] * b[3]) + (a[3] * b[2]) + (a[4] * b[1]) + (a[5] * b[0]);
long c6 = (a[0] * b[6]) + (a[1] * b[5]) + (a[2] * b[4]) + (a[3] * b[3]) + (a[4] * b[2]) + (a[5] * b[1]) + (a[6] * b[0]);
long c7 = (a[0] * b[7]) + (a[1] * b[6]) + (a[2] * b[5]) + (a[3] * b[4]) + (a[4] * b[3]) + (a[5] * b[2]) + (a[6] * b[1]) + (a[7] * b[0]);
long c8 = (a[0] * b[8]) + (a[1] * b[7]) + (a[2] * b[6]) + (a[3] * b[5]) + (a[4] * b[4]) + (a[5] * b[3]) + (a[6] * b[2]) + (a[7] * b[1]) + (a[8] * b[0]);
long c9 = (a[0] * b[9]) + (a[1] * b[8]) + (a[2] * b[7]) + (a[3] * b[6]) + (a[4] * b[5]) + (a[5] * b[4]) + (a[6] * b[3]) + (a[7] * b[2]) + (a[8] * b[1]) + (a[9] * b[0]);
long c10 = (a[1] * b[9]) + (a[2] * b[8]) + (a[3] * b[7]) + (a[4] * b[6]) + (a[5] * b[5]) + (a[6] * b[4]) + (a[7] * b[3]) + (a[8] * b[2]) + (a[9] * b[1]);
long c11 = (a[2] * b[9]) + (a[3] * b[8]) + (a[4] * b[7]) + (a[5] * b[6]) + (a[6] * b[5]) + (a[7] * b[4]) + (a[8] * b[3]) + (a[9] * b[2]);
long c12 = (a[3] * b[9]) + (a[4] * b[8]) + (a[5] * b[7]) + (a[6] * b[6]) + (a[7] * b[5]) + (a[8] * b[4]) + (a[9] * b[3]);
long c13 = (a[4] * b[9]) + (a[5] * b[8]) + (a[6] * b[7]) + (a[7] * b[6]) + (a[8] * b[5]) + (a[9] * b[4]);
long c14 = (a[5] * b[9]) + (a[6] * b[8]) + (a[7] * b[7]) + (a[8] * b[6]) + (a[9] * b[5]);
long c15 = (a[6] * b[9]) + (a[7] * b[8]) + (a[8] * b[7]) + (a[9] * b[6]);
long c16 = (a[7] * b[9]) + (a[8] * b[8]) + (a[9] * b[7]);
long c17 = (a[8] * b[9]) + (a[9] * b[8]);
long c18 = (a[9] * b[9]);
carryReduce(r, c0, c1, c2, c3, c4, c5, c6, c7, c8, c9, c10, c11, c12, c13, c14, c15, c16, c17, c18);
}
@Override
protected void reduce(long[] a) {
carryReduce(a, a[0], a[1], a[2], a[3], a[4], a[5], a[6], a[7], a[8], a[9]);
}
@Override
protected void square(long[] a, long[] r) {
long c0 = (a[0] * a[0]);
long c1 = 2 * ((a[0] * a[1]));
long c2 = 2 * ((a[0] * a[2])) + (a[1] * a[1]);
long c3 = 2 * ((a[0] * a[3]) + (a[1] * a[2]));
long c4 = 2 * ((a[0] * a[4]) + (a[1] * a[3])) + (a[2] * a[2]);
long c5 = 2 * ((a[0] * a[5]) + (a[1] * a[4]) + (a[2] * a[3]));
long c6 = 2 * ((a[0] * a[6]) + (a[1] * a[5]) + (a[2] * a[4])) + (a[3] * a[3]);
long c7 = 2 * ((a[0] * a[7]) + (a[1] * a[6]) + (a[2] * a[5]) + (a[3] * a[4]));
long c8 = 2 * ((a[0] * a[8]) + (a[1] * a[7]) + (a[2] * a[6]) + (a[3] * a[5])) + (a[4] * a[4]);
long c9 = 2 * ((a[0] * a[9]) + (a[1] * a[8]) + (a[2] * a[7]) + (a[3] * a[6]) + (a[4] * a[5]));
long c10 = 2 * ((a[1] * a[9]) + (a[2] * a[8]) + (a[3] * a[7]) + (a[4] * a[6])) + (a[5] * a[5]);
long c11 = 2 * ((a[2] * a[9]) + (a[3] * a[8]) + (a[4] * a[7]) + (a[5] * a[6]));
long c12 = 2 * ((a[3] * a[9]) + (a[4] * a[8]) + (a[5] * a[7])) + (a[6] * a[6]);
long c13 = 2 * ((a[4] * a[9]) + (a[5] * a[8]) + (a[6] * a[7]));
long c14 = 2 * ((a[5] * a[9]) + (a[6] * a[8])) + (a[7] * a[7]);
long c15 = 2 * ((a[6] * a[9]) + (a[7] * a[8]));
long c16 = 2 * ((a[7] * a[9])) + (a[8] * a[8]);
long c17 = 2 * ((a[8] * a[9]));
long c18 = (a[9] * a[9]);
carryReduce(r, c0, c1, c2, c3, c4, c5, c6, c7, c8, c9, c10, c11, c12, c13, c14, c15, c16, c17, c18);
}
}

881
src/java.base/share/classes/sun/security/util/math/intpoly/P384OrderField.java
View File

@ -1,881 +0,0 @@
/*
* Copyright (c) 2018, Oracle and/or its affiliates. All rights reserved.
* DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER.
*
* This code is free software; you can redistribute it and/or modify it
* under the terms of the GNU General Public License version 2 only, as
* published by the Free Software Foundation. Oracle designates this
* particular file as subject to the "Classpath" exception as provided
* by Oracle in the LICENSE file that accompanied this code.
*
* This code is distributed in the hope that it will be useful, but WITHOUT
* ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
* FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
* version 2 for more details (a copy is included in the LICENSE file that
* accompanied this code).
*
* You should have received a copy of the GNU General Public License version
* 2 along with this work; if not, write to the Free Software Foundation,
* Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA.
*
* Please contact Oracle, 500 Oracle Parkway, Redwood Shores, CA 94065 USA
* or visit www.oracle.com if you need additional information or have any
* questions.
*/
/*
* This file is generated by FieldGen.jsh. Do not modify it directly.
*/
package sun.security.util.math.intpoly;
import java.math.BigInteger;
public class P384OrderField extends IntegerPolynomial {
private static final int BITS_PER_LIMB = 28;
private static final int NUM_LIMBS = 14;
private static final int MAX_ADDS = 1;
public static final BigInteger MODULUS = evaluateModulus();
private static final long CARRY_ADD = 1 << 27;
private static final int LIMB_MASK = -1 >>> (64 - BITS_PER_LIMB);
public P384OrderField() {
super(BITS_PER_LIMB, NUM_LIMBS, MAX_ADDS, MODULUS);
}
private static BigInteger evaluateModulus() {
BigInteger result = BigInteger.valueOf(2).pow(384);
result = result.subtract(BigInteger.valueOf(54187661));
result = result.subtract(BigInteger.valueOf(2).pow(28).multiply(BigInteger.valueOf(20867411)));
result = result.add(BigInteger.valueOf(2).pow(56).multiply(BigInteger.valueOf(10975981)));
result = result.add(BigInteger.valueOf(2).pow(84).multiply(BigInteger.valueOf(14361739)));
result = result.subtract(BigInteger.valueOf(2).pow(112).multiply(BigInteger.valueOf(35694566)));
result = result.subtract(BigInteger.valueOf(2).pow(140).multiply(BigInteger.valueOf(132168845)));
result = result.subtract(BigInteger.valueOf(2).pow(168).multiply(BigInteger.valueOf(3710130)));
return result;
}
@Override
protected void finalCarryReduceLast(long[] limbs) {
long c = limbs[13] >> 20;
limbs[13] -= c << 20;
long t0 = 54187661 * c;
limbs[0] += t0;
t0 = 20867411 * c;
limbs[1] += t0;
t0 = -10975981 * c;
limbs[2] += t0;
t0 = -14361739 * c;
limbs[3] += t0;
t0 = 35694566 * c;
limbs[4] += t0;
t0 = 132168845 * c;
limbs[5] += t0;
t0 = 3710130 * c;
limbs[6] += t0;
}
private void carryReduce(long[] r, long c0, long c1, long c2, long c3, long c4, long c5, long c6, long c7, long c8, long c9, long c10, long c11, long c12, long c13, long c14, long c15, long c16, long c17, long c18, long c19, long c20, long c21, long c22, long c23, long c24, long c25, long c26) {
long c27 = 0;
//carry from position 0
long t0 = (c0 + CARRY_ADD) >> 28;
c0 -= (t0 << 28);
c1 += t0;
//carry from position 1
t0 = (c1 + CARRY_ADD) >> 28;
c1 -= (t0 << 28);
c2 += t0;
//carry from position 2
t0 = (c2 + CARRY_ADD) >> 28;
c2 -= (t0 << 28);
c3 += t0;
//carry from position 3
t0 = (c3 + CARRY_ADD) >> 28;
c3 -= (t0 << 28);
c4 += t0;
//carry from position 4
t0 = (c4 + CARRY_ADD) >> 28;
c4 -= (t0 << 28);
c5 += t0;
//carry from position 5
t0 = (c5 + CARRY_ADD) >> 28;
c5 -= (t0 << 28);
c6 += t0;
//carry from position 6
t0 = (c6 + CARRY_ADD) >> 28;
c6 -= (t0 << 28);
c7 += t0;
//carry from position 7
t0 = (c7 + CARRY_ADD) >> 28;
c7 -= (t0 << 28);
c8 += t0;
//carry from position 8
t0 = (c8 + CARRY_ADD) >> 28;
c8 -= (t0 << 28);
c9 += t0;
//carry from position 9
t0 = (c9 + CARRY_ADD) >> 28;
c9 -= (t0 << 28);
c10 += t0;
//carry from position 10
t0 = (c10 + CARRY_ADD) >> 28;
c10 -= (t0 << 28);
c11 += t0;
//carry from position 11
t0 = (c11 + CARRY_ADD) >> 28;
c11 -= (t0 << 28);
c12 += t0;
//carry from position 12
t0 = (c12 + CARRY_ADD) >> 28;
c12 -= (t0 << 28);
c13 += t0;
//carry from position 13
t0 = (c13 + CARRY_ADD) >> 28;
c13 -= (t0 << 28);
c14 += t0;
//carry from position 14
t0 = (c14 + CARRY_ADD) >> 28;
c14 -= (t0 << 28);
c15 += t0;
//carry from position 15
t0 = (c15 + CARRY_ADD) >> 28;
c15 -= (t0 << 28);
c16 += t0;
//carry from position 16
t0 = (c16 + CARRY_ADD) >> 28;
c16 -= (t0 << 28);
c17 += t0;
//carry from position 17
t0 = (c17 + CARRY_ADD) >> 28;
c17 -= (t0 << 28);
c18 += t0;
//carry from position 18
t0 = (c18 + CARRY_ADD) >> 28;
c18 -= (t0 << 28);
c19 += t0;
//carry from position 19
t0 = (c19 + CARRY_ADD) >> 28;
c19 -= (t0 << 28);
c20 += t0;
//carry from position 20
t0 = (c20 + CARRY_ADD) >> 28;
c20 -= (t0 << 28);
c21 += t0;
//carry from position 21
t0 = (c21 + CARRY_ADD) >> 28;
c21 -= (t0 << 28);
c22 += t0;
//carry from position 22
t0 = (c22 + CARRY_ADD) >> 28;
c22 -= (t0 << 28);
c23 += t0;
//carry from position 23
t0 = (c23 + CARRY_ADD) >> 28;
c23 -= (t0 << 28);
c24 += t0;
//carry from position 24
t0 = (c24 + CARRY_ADD) >> 28;
c24 -= (t0 << 28);
c25 += t0;
//carry from position 25
t0 = (c25 + CARRY_ADD) >> 28;
c25 -= (t0 << 28);
c26 += t0;
//carry from position 26
t0 = (c26 + CARRY_ADD) >> 28;
c26 -= (t0 << 28);
c27 += t0;
carryReduce0(r, c0, c1, c2, c3, c4, c5, c6, c7, c8, c9, c10, c11, c12, c13, c14, c15, c16, c17, c18, c19, c20, c21, c22, c23, c24, c25, c26, c27);
}
void carryReduce0(long[] r, long c0, long c1, long c2, long c3, long c4, long c5, long c6, long c7, long c8, long c9, long c10, long c11, long c12, long c13, long c14, long c15, long c16, long c17, long c18, long c19, long c20, long c21, long c22, long c23, long c24, long c25, long c26, long c27) {
long t0;
//reduce from position 27
t0 = 54187661 * c27;
c13 += (t0 << 8) & LIMB_MASK;
c14 += t0 >> 20;
t0 = 20867411 * c27;
c14 += (t0 << 8) & LIMB_MASK;
c15 += t0 >> 20;
t0 = -10975981 * c27;
c15 += (t0 << 8) & LIMB_MASK;
c16 += t0 >> 20;
t0 = -14361739 * c27;
c16 += (t0 << 8) & LIMB_MASK;
c17 += t0 >> 20;
t0 = 35694566 * c27;
c17 += (t0 << 8) & LIMB_MASK;
c18 += t0 >> 20;
t0 = 132168845 * c27;
c18 += (t0 << 8) & LIMB_MASK;
c19 += t0 >> 20;
t0 = 3710130 * c27;
c19 += (t0 << 8) & LIMB_MASK;
c20 += t0 >> 20;
//reduce from position 26
t0 = 54187661 * c26;
c12 += (t0 << 8) & LIMB_MASK;
c13 += t0 >> 20;
t0 = 20867411 * c26;
c13 += (t0 << 8) & LIMB_MASK;
c14 += t0 >> 20;
t0 = -10975981 * c26;
c14 += (t0 << 8) & LIMB_MASK;
c15 += t0 >> 20;
t0 = -14361739 * c26;
c15 += (t0 << 8) & LIMB_MASK;
c16 += t0 >> 20;
t0 = 35694566 * c26;
c16 += (t0 << 8) & LIMB_MASK;
c17 += t0 >> 20;
t0 = 132168845 * c26;
c17 += (t0 << 8) & LIMB_MASK;
c18 += t0 >> 20;
t0 = 3710130 * c26;
c18 += (t0 << 8) & LIMB_MASK;
c19 += t0 >> 20;
//reduce from position 25
t0 = 54187661 * c25;
c11 += (t0 << 8) & LIMB_MASK;
c12 += t0 >> 20;
t0 = 20867411 * c25;
c12 += (t0 << 8) & LIMB_MASK;
c13 += t0 >> 20;
t0 = -10975981 * c25;
c13 += (t0 << 8) & LIMB_MASK;
c14 += t0 >> 20;
t0 = -14361739 * c25;
c14 += (t0 << 8) & LIMB_MASK;
c15 += t0 >> 20;
t0 = 35694566 * c25;
c15 += (t0 << 8) & LIMB_MASK;
c16 += t0 >> 20;
t0 = 132168845 * c25;
c16 += (t0 << 8) & LIMB_MASK;
c17 += t0 >> 20;
t0 = 3710130 * c25;
c17 += (t0 << 8) & LIMB_MASK;
c18 += t0 >> 20;
//reduce from position 24
t0 = 54187661 * c24;
c10 += (t0 << 8) & LIMB_MASK;
c11 += t0 >> 20;
t0 = 20867411 * c24;
c11 += (t0 << 8) & LIMB_MASK;
c12 += t0 >> 20;
t0 = -10975981 * c24;
c12 += (t0 << 8) & LIMB_MASK;
c13 += t0 >> 20;
t0 = -14361739 * c24;
c13 += (t0 << 8) & LIMB_MASK;
c14 += t0 >> 20;
t0 = 35694566 * c24;
c14 += (t0 << 8) & LIMB_MASK;
c15 += t0 >> 20;
t0 = 132168845 * c24;
c15 += (t0 << 8) & LIMB_MASK;
c16 += t0 >> 20;
t0 = 3710130 * c24;
c16 += (t0 << 8) & LIMB_MASK;
c17 += t0 >> 20;
//reduce from position 23
t0 = 54187661 * c23;
c9 += (t0 << 8) & LIMB_MASK;
c10 += t0 >> 20;
t0 = 20867411 * c23;
c10 += (t0 << 8) & LIMB_MASK;
c11 += t0 >> 20;
t0 = -10975981 * c23;
c11 += (t0 << 8) & LIMB_MASK;
c12 += t0 >> 20;
t0 = -14361739 * c23;
c12 += (t0 << 8) & LIMB_MASK;
c13 += t0 >> 20;
t0 = 35694566 * c23;
c13 += (t0 << 8) & LIMB_MASK;
c14 += t0 >> 20;
t0 = 132168845 * c23;
c14 += (t0 << 8) & LIMB_MASK;
c15 += t0 >> 20;
t0 = 3710130 * c23;
c15 += (t0 << 8) & LIMB_MASK;
c16 += t0 >> 20;
//reduce from position 22
t0 = 54187661 * c22;
c8 += (t0 << 8) & LIMB_MASK;
c9 += t0 >> 20;
t0 = 20867411 * c22;
c9 += (t0 << 8) & LIMB_MASK;
c10 += t0 >> 20;
t0 = -10975981 * c22;
c10 += (t0 << 8) & LIMB_MASK;
c11 += t0 >> 20;
t0 = -14361739 * c22;
c11 += (t0 << 8) & LIMB_MASK;
c12 += t0 >> 20;
t0 = 35694566 * c22;
c12 += (t0 << 8) & LIMB_MASK;
c13 += t0 >> 20;
t0 = 132168845 * c22;
c13 += (t0 << 8) & LIMB_MASK;
c14 += t0 >> 20;
t0 = 3710130 * c22;
c14 += (t0 << 8) & LIMB_MASK;
c15 += t0 >> 20;
//reduce from position 21
t0 = 54187661 * c21;
c7 += (t0 << 8) & LIMB_MASK;
c8 += t0 >> 20;
t0 = 20867411 * c21;
c8 += (t0 << 8) & LIMB_MASK;
c9 += t0 >> 20;
t0 = -10975981 * c21;
c9 += (t0 << 8) & LIMB_MASK;
c10 += t0 >> 20;
t0 = -14361739 * c21;
c10 += (t0 << 8) & LIMB_MASK;
c11 += t0 >> 20;
t0 = 35694566 * c21;
c11 += (t0 << 8) & LIMB_MASK;
c12 += t0 >> 20;
t0 = 132168845 * c21;
c12 += (t0 << 8) & LIMB_MASK;
c13 += t0 >> 20;
t0 = 3710130 * c21;
c13 += (t0 << 8) & LIMB_MASK;
c14 += t0 >> 20;
//reduce from position 20
t0 = 54187661 * c20;
c6 += (t0 << 8) & LIMB_MASK;
c7 += t0 >> 20;
t0 = 20867411 * c20;
c7 += (t0 << 8) & LIMB_MASK;
c8 += t0 >> 20;
t0 = -10975981 * c20;
c8 += (t0 << 8) & LIMB_MASK;
c9 += t0 >> 20;
t0 = -14361739 * c20;
c9 += (t0 << 8) & LIMB_MASK;
c10 += t0 >> 20;
t0 = 35694566 * c20;
c10 += (t0 << 8) & LIMB_MASK;
c11 += t0 >> 20;
t0 = 132168845 * c20;
c11 += (t0 << 8) & LIMB_MASK;
c12 += t0 >> 20;
t0 = 3710130 * c20;
c12 += (t0 << 8) & LIMB_MASK;
c13 += t0 >> 20;
//reduce from position 19
t0 = 54187661 * c19;
c5 += (t0 << 8) & LIMB_MASK;
c6 += t0 >> 20;
t0 = 20867411 * c19;
c6 += (t0 << 8) & LIMB_MASK;
c7 += t0 >> 20;
t0 = -10975981 * c19;
c7 += (t0 << 8) & LIMB_MASK;
c8 += t0 >> 20;
t0 = -14361739 * c19;
c8 += (t0 << 8) & LIMB_MASK;
c9 += t0 >> 20;
t0 = 35694566 * c19;
c9 += (t0 << 8) & LIMB_MASK;
c10 += t0 >> 20;
t0 = 132168845 * c19;
c10 += (t0 << 8) & LIMB_MASK;
c11 += t0 >> 20;
t0 = 3710130 * c19;
c11 += (t0 << 8) & LIMB_MASK;
c12 += t0 >> 20;
//reduce from position 18
t0 = 54187661 * c18;
c4 += (t0 << 8) & LIMB_MASK;
c5 += t0 >> 20;
t0 = 20867411 * c18;
c5 += (t0 << 8) & LIMB_MASK;
c6 += t0 >> 20;
t0 = -10975981 * c18;
c6 += (t0 << 8) & LIMB_MASK;
c7 += t0 >> 20;
t0 = -14361739 * c18;
c7 += (t0 << 8) & LIMB_MASK;
c8 += t0 >> 20;
t0 = 35694566 * c18;
c8 += (t0 << 8) & LIMB_MASK;
c9 += t0 >> 20;
t0 = 132168845 * c18;
c9 += (t0 << 8) & LIMB_MASK;
c10 += t0 >> 20;
t0 = 3710130 * c18;
c10 += (t0 << 8) & LIMB_MASK;
c11 += t0 >> 20;
//reduce from position 17
t0 = 54187661 * c17;
c3 += (t0 << 8) & LIMB_MASK;
c4 += t0 >> 20;
t0 = 20867411 * c17;
c4 += (t0 << 8) & LIMB_MASK;
c5 += t0 >> 20;
t0 = -10975981 * c17;
c5 += (t0 << 8) & LIMB_MASK;
c6 += t0 >> 20;
t0 = -14361739 * c17;
c6 += (t0 << 8) & LIMB_MASK;
c7 += t0 >> 20;
t0 = 35694566 * c17;
c7 += (t0 << 8) & LIMB_MASK;
c8 += t0 >> 20;
t0 = 132168845 * c17;
c8 += (t0 << 8) & LIMB_MASK;
c9 += t0 >> 20;
t0 = 3710130 * c17;
c9 += (t0 << 8) & LIMB_MASK;
c10 += t0 >> 20;
//reduce from position 16
t0 = 54187661 * c16;
c2 += (t0 << 8) & LIMB_MASK;
c3 += t0 >> 20;
t0 = 20867411 * c16;
c3 += (t0 << 8) & LIMB_MASK;
c4 += t0 >> 20;
t0 = -10975981 * c16;
c4 += (t0 << 8) & LIMB_MASK;
c5 += t0 >> 20;
t0 = -14361739 * c16;
c5 += (t0 << 8) & LIMB_MASK;
c6 += t0 >> 20;
t0 = 35694566 * c16;
c6 += (t0 << 8) & LIMB_MASK;
c7 += t0 >> 20;
t0 = 132168845 * c16;
c7 += (t0 << 8) & LIMB_MASK;
c8 += t0 >> 20;
t0 = 3710130 * c16;
c8 += (t0 << 8) & LIMB_MASK;
c9 += t0 >> 20;
//reduce from position 15
t0 = 54187661 * c15;
c1 += (t0 << 8) & LIMB_MASK;
c2 += t0 >> 20;
t0 = 20867411 * c15;
c2 += (t0 << 8) & LIMB_MASK;
c3 += t0 >> 20;
t0 = -10975981 * c15;
c3 += (t0 << 8) & LIMB_MASK;
c4 += t0 >> 20;
t0 = -14361739 * c15;
c4 += (t0 << 8) & LIMB_MASK;
c5 += t0 >> 20;
t0 = 35694566 * c15;
c5 += (t0 << 8) & LIMB_MASK;
c6 += t0 >> 20;
t0 = 132168845 * c15;
c6 += (t0 << 8) & LIMB_MASK;
c7 += t0 >> 20;
t0 = 3710130 * c15;
c7 += (t0 << 8) & LIMB_MASK;
c8 += t0 >> 20;
//reduce from position 14
t0 = 54187661 * c14;
c0 += (t0 << 8) & LIMB_MASK;
c1 += t0 >> 20;
t0 = 20867411 * c14;
c1 += (t0 << 8) & LIMB_MASK;
c2 += t0 >> 20;
t0 = -10975981 * c14;
c2 += (t0 << 8) & LIMB_MASK;
c3 += t0 >> 20;
t0 = -14361739 * c14;
c3 += (t0 << 8) & LIMB_MASK;
c4 += t0 >> 20;
t0 = 35694566 * c14;
c4 += (t0 << 8) & LIMB_MASK;
c5 += t0 >> 20;
t0 = 132168845 * c14;
c5 += (t0 << 8) & LIMB_MASK;
c6 += t0 >> 20;
t0 = 3710130 * c14;
c6 += (t0 << 8) & LIMB_MASK;
c7 += t0 >> 20;
c14 = 0;
carryReduce1(r, c0, c1, c2, c3, c4, c5, c6, c7, c8, c9, c10, c11, c12, c13, c14, c15, c16, c17, c18, c19, c20, c21, c22, c23, c24, c25, c26, c27);
}
void carryReduce1(long[] r, long c0, long c1, long c2, long c3, long c4, long c5, long c6, long c7, long c8, long c9, long c10, long c11, long c12, long c13, long c14, long c15, long c16, long c17, long c18, long c19, long c20, long c21, long c22, long c23, long c24, long c25, long c26, long c27) {
long t0;
//carry from position 0
t0 = (c0 + CARRY_ADD) >> 28;
c0 -= (t0 << 28);
c1 += t0;
//carry from position 1
t0 = (c1 + CARRY_ADD) >> 28;
c1 -= (t0 << 28);
c2 += t0;
//carry from position 2
t0 = (c2 + CARRY_ADD) >> 28;
c2 -= (t0 << 28);
c3 += t0;
//carry from position 3
t0 = (c3 + CARRY_ADD) >> 28;
c3 -= (t0 << 28);
c4 += t0;
//carry from position 4
t0 = (c4 + CARRY_ADD) >> 28;
c4 -= (t0 << 28);
c5 += t0;
//carry from position 5
t0 = (c5 + CARRY_ADD) >> 28;
c5 -= (t0 << 28);
c6 += t0;
//carry from position 6
t0 = (c6 + CARRY_ADD) >> 28;
c6 -= (t0 << 28);
c7 += t0;
//carry from position 7
t0 = (c7 + CARRY_ADD) >> 28;
c7 -= (t0 << 28);
c8 += t0;
//carry from position 8
t0 = (c8 + CARRY_ADD) >> 28;
c8 -= (t0 << 28);
c9 += t0;
//carry from position 9
t0 = (c9 + CARRY_ADD) >> 28;
c9 -= (t0 << 28);
c10 += t0;
//carry from position 10
t0 = (c10 + CARRY_ADD) >> 28;
c10 -= (t0 << 28);
c11 += t0;
//carry from position 11
t0 = (c11 + CARRY_ADD) >> 28;
c11 -= (t0 << 28);
c12 += t0;
//carry from position 12
t0 = (c12 + CARRY_ADD) >> 28;
c12 -= (t0 << 28);
c13 += t0;
//carry from position 13
t0 = (c13 + CARRY_ADD) >> 28;
c13 -= (t0 << 28);
c14 += t0;
carryReduce2(r, c0, c1, c2, c3, c4, c5, c6, c7, c8, c9, c10, c11, c12, c13, c14, c15, c16, c17, c18, c19, c20, c21, c22, c23, c24, c25, c26, c27);
}
void carryReduce2(long[] r, long c0, long c1, long c2, long c3, long c4, long c5, long c6, long c7, long c8, long c9, long c10, long c11, long c12, long c13, long c14, long c15, long c16, long c17, long c18, long c19, long c20, long c21, long c22, long c23, long c24, long c25, long c26, long c27) {
long t0;
//reduce from position 14
t0 = 54187661 * c14;
c0 += (t0 << 8) & LIMB_MASK;
c1 += t0 >> 20;
t0 = 20867411 * c14;
c1 += (t0 << 8) & LIMB_MASK;
c2 += t0 >> 20;
t0 = -10975981 * c14;
c2 += (t0 << 8) & LIMB_MASK;
c3 += t0 >> 20;
t0 = -14361739 * c14;
c3 += (t0 << 8) & LIMB_MASK;
c4 += t0 >> 20;
t0 = 35694566 * c14;
c4 += (t0 << 8) & LIMB_MASK;
c5 += t0 >> 20;
t0 = 132168845 * c14;
c5 += (t0 << 8) & LIMB_MASK;
c6 += t0 >> 20;
t0 = 3710130 * c14;
c6 += (t0 << 8) & LIMB_MASK;
c7 += t0 >> 20;
//carry from position 0
t0 = (c0 + CARRY_ADD) >> 28;
c0 -= (t0 << 28);
c1 += t0;
//carry from position 1
t0 = (c1 + CARRY_ADD) >> 28;
c1 -= (t0 << 28);
c2 += t0;
//carry from position 2
t0 = (c2 + CARRY_ADD) >> 28;
c2 -= (t0 << 28);
c3 += t0;
//carry from position 3
t0 = (c3 + CARRY_ADD) >> 28;
c3 -= (t0 << 28);
c4 += t0;
//carry from position 4
t0 = (c4 + CARRY_ADD) >> 28;
c4 -= (t0 << 28);
c5 += t0;
//carry from position 5
t0 = (c5 + CARRY_ADD) >> 28;
c5 -= (t0 << 28);
c6 += t0;
//carry from position 6
t0 = (c6 + CARRY_ADD) >> 28;
c6 -= (t0 << 28);
c7 += t0;
//carry from position 7
t0 = (c7 + CARRY_ADD) >> 28;
c7 -= (t0 << 28);
c8 += t0;
//carry from position 8
t0 = (c8 + CARRY_ADD) >> 28;
c8 -= (t0 << 28);
c9 += t0;
//carry from position 9
t0 = (c9 + CARRY_ADD) >> 28;
c9 -= (t0 << 28);
c10 += t0;
//carry from position 10
t0 = (c10 + CARRY_ADD) >> 28;
c10 -= (t0 << 28);
c11 += t0;
//carry from position 11
t0 = (c11 + CARRY_ADD) >> 28;
c11 -= (t0 << 28);
c12 += t0;
//carry from position 12
t0 = (c12 + CARRY_ADD) >> 28;
c12 -= (t0 << 28);
c13 += t0;
r[0] = c0;
r[1] = c1;
r[2] = c2;
r[3] = c3;
r[4] = c4;
r[5] = c5;
r[6] = c6;
r[7] = c7;
r[8] = c8;
r[9] = c9;
r[10] = c10;
r[11] = c11;
r[12] = c12;
r[13] = c13;
}
private void carryReduce(long[] r, long c0, long c1, long c2, long c3, long c4, long c5, long c6, long c7, long c8, long c9, long c10, long c11, long c12, long c13) {
long c14 = 0;
//carry from position 0
long t0 = (c0 + CARRY_ADD) >> 28;
c0 -= (t0 << 28);
c1 += t0;
//carry from position 1
t0 = (c1 + CARRY_ADD) >> 28;
c1 -= (t0 << 28);
c2 += t0;
//carry from position 2
t0 = (c2 + CARRY_ADD) >> 28;
c2 -= (t0 << 28);
c3 += t0;
//carry from position 3
t0 = (c3 + CARRY_ADD) >> 28;
c3 -= (t0 << 28);
c4 += t0;
//carry from position 4
t0 = (c4 + CARRY_ADD) >> 28;
c4 -= (t0 << 28);
c5 += t0;
//carry from position 5
t0 = (c5 + CARRY_ADD) >> 28;
c5 -= (t0 << 28);
c6 += t0;
//carry from position 6
t0 = (c6 + CARRY_ADD) >> 28;
c6 -= (t0 << 28);
c7 += t0;
//carry from position 7
t0 = (c7 + CARRY_ADD) >> 28;
c7 -= (t0 << 28);
c8 += t0;
//carry from position 8
t0 = (c8 + CARRY_ADD) >> 28;
c8 -= (t0 << 28);
c9 += t0;
//carry from position 9
t0 = (c9 + CARRY_ADD) >> 28;
c9 -= (t0 << 28);
c10 += t0;
//carry from position 10
t0 = (c10 + CARRY_ADD) >> 28;
c10 -= (t0 << 28);
c11 += t0;
//carry from position 11
t0 = (c11 + CARRY_ADD) >> 28;
c11 -= (t0 << 28);
c12 += t0;
//carry from position 12
t0 = (c12 + CARRY_ADD) >> 28;
c12 -= (t0 << 28);
c13 += t0;
//carry from position 13
t0 = (c13 + CARRY_ADD) >> 28;
c13 -= (t0 << 28);
c14 += t0;
carryReduce0(r, c0, c1, c2, c3, c4, c5, c6, c7, c8, c9, c10, c11, c12, c13, c14);
}
void carryReduce0(long[] r, long c0, long c1, long c2, long c3, long c4, long c5, long c6, long c7, long c8, long c9, long c10, long c11, long c12, long c13, long c14) {
long t0;
//reduce from position 14
t0 = 54187661 * c14;
c0 += (t0 << 8) & LIMB_MASK;
c1 += t0 >> 20;
t0 = 20867411 * c14;
c1 += (t0 << 8) & LIMB_MASK;
c2 += t0 >> 20;
t0 = -10975981 * c14;
c2 += (t0 << 8) & LIMB_MASK;
c3 += t0 >> 20;
t0 = -14361739 * c14;
c3 += (t0 << 8) & LIMB_MASK;
c4 += t0 >> 20;
t0 = 35694566 * c14;
c4 += (t0 << 8) & LIMB_MASK;
c5 += t0 >> 20;
t0 = 132168845 * c14;
c5 += (t0 << 8) & LIMB_MASK;
c6 += t0 >> 20;
t0 = 3710130 * c14;
c6 += (t0 << 8) & LIMB_MASK;
c7 += t0 >> 20;
//carry from position 0
t0 = (c0 + CARRY_ADD) >> 28;
c0 -= (t0 << 28);
c1 += t0;
//carry from position 1
t0 = (c1 + CARRY_ADD) >> 28;
c1 -= (t0 << 28);
c2 += t0;
//carry from position 2
t0 = (c2 + CARRY_ADD) >> 28;
c2 -= (t0 << 28);
c3 += t0;
//carry from position 3
t0 = (c3 + CARRY_ADD) >> 28;
c3 -= (t0 << 28);
c4 += t0;
//carry from position 4
t0 = (c4 + CARRY_ADD) >> 28;
c4 -= (t0 << 28);
c5 += t0;
//carry from position 5
t0 = (c5 + CARRY_ADD) >> 28;
c5 -= (t0 << 28);
c6 += t0;
//carry from position 6
t0 = (c6 + CARRY_ADD) >> 28;
c6 -= (t0 << 28);
c7 += t0;
//carry from position 7
t0 = (c7 + CARRY_ADD) >> 28;
c7 -= (t0 << 28);
c8 += t0;
//carry from position 8
t0 = (c8 + CARRY_ADD) >> 28;
c8 -= (t0 << 28);
c9 += t0;
//carry from position 9
t0 = (c9 + CARRY_ADD) >> 28;
c9 -= (t0 << 28);
c10 += t0;
//carry from position 10
t0 = (c10 + CARRY_ADD) >> 28;
c10 -= (t0 << 28);
c11 += t0;
//carry from position 11
t0 = (c11 + CARRY_ADD) >> 28;
c11 -= (t0 << 28);
c12 += t0;
//carry from position 12
t0 = (c12 + CARRY_ADD) >> 28;
c12 -= (t0 << 28);
c13 += t0;
r[0] = c0;
r[1] = c1;
r[2] = c2;
r[3] = c3;
r[4] = c4;
r[5] = c5;
r[6] = c6;
r[7] = c7;
r[8] = c8;
r[9] = c9;
r[10] = c10;
r[11] = c11;
r[12] = c12;
r[13] = c13;
}
@Override
protected void mult(long[] a, long[] b, long[] r) {
long c0 = (a[0] * b[0]);
long c1 = (a[0] * b[1]) + (a[1] * b[0]);
long c2 = (a[0] * b[2]) + (a[1] * b[1]) + (a[2] * b[0]);
long c3 = (a[0] * b[3]) + (a[1] * b[2]) + (a[2] * b[1]) + (a[3] * b[0]);
long c4 = (a[0] * b[4]) + (a[1] * b[3]) + (a[2] * b[2]) + (a[3] * b[1]) + (a[4] * b[0]);
long c5 = (a[0] * b[5]) + (a[1] * b[4]) + (a[2] * b[3]) + (a[3] * b[2]) + (a[4] * b[1]) + (a[5] * b[0]);
long c6 = (a[0] * b[6]) + (a[1] * b[5]) + (a[2] * b[4]) + (a[3] * b[3]) + (a[4] * b[2]) + (a[5] * b[1]) + (a[6] * b[0]);
long c7 = (a[0] * b[7]) + (a[1] * b[6]) + (a[2] * b[5]) + (a[3] * b[4]) + (a[4] * b[3]) + (a[5] * b[2]) + (a[6] * b[1]) + (a[7] * b[0]);
long c8 = (a[0] * b[8]) + (a[1] * b[7]) + (a[2] * b[6]) + (a[3] * b[5]) + (a[4] * b[4]) + (a[5] * b[3]) + (a[6] * b[2]) + (a[7] * b[1]) + (a[8] * b[0]);
long c9 = (a[0] * b[9]) + (a[1] * b[8]) + (a[2] * b[7]) + (a[3] * b[6]) + (a[4] * b[5]) + (a[5] * b[4]) + (a[6] * b[3]) + (a[7] * b[2]) + (a[8] * b[1]) + (a[9] * b[0]);
long c10 = (a[0] * b[10]) + (a[1] * b[9]) + (a[2] * b[8]) + (a[3] * b[7]) + (a[4] * b[6]) + (a[5] * b[5]) + (a[6] * b[4]) + (a[7] * b[3]) + (a[8] * b[2]) + (a[9] * b[1]) + (a[10] * b[0]);
long c11 = (a[0] * b[11]) + (a[1] * b[10]) + (a[2] * b[9]) + (a[3] * b[8]) + (a[4] * b[7]) + (a[5] * b[6]) + (a[6] * b[5]) + (a[7] * b[4]) + (a[8] * b[3]) + (a[9] * b[2]) + (a[10] * b[1]) + (a[11] * b[0]);
long c12 = (a[0] * b[12]) + (a[1] * b[11]) + (a[2] * b[10]) + (a[3] * b[9]) + (a[4] * b[8]) + (a[5] * b[7]) + (a[6] * b[6]) + (a[7] * b[5]) + (a[8] * b[4]) + (a[9] * b[3]) + (a[10] * b[2]) + (a[11] * b[1]) + (a[12] * b[0]);
long c13 = (a[0] * b[13]) + (a[1] * b[12]) + (a[2] * b[11]) + (a[3] * b[10]) + (a[4] * b[9]) + (a[5] * b[8]) + (a[6] * b[7]) + (a[7] * b[6]) + (a[8] * b[5]) + (a[9] * b[4]) + (a[10] * b[3]) + (a[11] * b[2]) + (a[12] * b[1]) + (a[13] * b[0]);
long c14 = (a[1] * b[13]) + (a[2] * b[12]) + (a[3] * b[11]) + (a[4] * b[10]) + (a[5] * b[9]) + (a[6] * b[8]) + (a[7] * b[7]) + (a[8] * b[6]) + (a[9] * b[5]) + (a[10] * b[4]) + (a[11] * b[3]) + (a[12] * b[2]) + (a[13] * b[1]);
long c15 = (a[2] * b[13]) + (a[3] * b[12]) + (a[4] * b[11]) + (a[5] * b[10]) + (a[6] * b[9]) + (a[7] * b[8]) + (a[8] * b[7]) + (a[9] * b[6]) + (a[10] * b[5]) + (a[11] * b[4]) + (a[12] * b[3]) + (a[13] * b[2]);
long c16 = (a[3] * b[13]) + (a[4] * b[12]) + (a[5] * b[11]) + (a[6] * b[10]) + (a[7] * b[9]) + (a[8] * b[8]) + (a[9] * b[7]) + (a[10] * b[6]) + (a[11] * b[5]) + (a[12] * b[4]) + (a[13] * b[3]);
long c17 = (a[4] * b[13]) + (a[5] * b[12]) + (a[6] * b[11]) + (a[7] * b[10]) + (a[8] * b[9]) + (a[9] * b[8]) + (a[10] * b[7]) + (a[11] * b[6]) + (a[12] * b[5]) + (a[13] * b[4]);
long c18 = (a[5] * b[13]) + (a[6] * b[12]) + (a[7] * b[11]) + (a[8] * b[10]) + (a[9] * b[9]) + (a[10] * b[8]) + (a[11] * b[7]) + (a[12] * b[6]) + (a[13] * b[5]);
long c19 = (a[6] * b[13]) + (a[7] * b[12]) + (a[8] * b[11]) + (a[9] * b[10]) + (a[10] * b[9]) + (a[11] * b[8]) + (a[12] * b[7]) + (a[13] * b[6]);
long c20 = (a[7] * b[13]) + (a[8] * b[12]) + (a[9] * b[11]) + (a[10] * b[10]) + (a[11] * b[9]) + (a[12] * b[8]) + (a[13] * b[7]);
long c21 = (a[8] * b[13]) + (a[9] * b[12]) + (a[10] * b[11]) + (a[11] * b[10]) + (a[12] * b[9]) + (a[13] * b[8]);
long c22 = (a[9] * b[13]) + (a[10] * b[12]) + (a[11] * b[11]) + (a[12] * b[10]) + (a[13] * b[9]);
long c23 = (a[10] * b[13]) + (a[11] * b[12]) + (a[12] * b[11]) + (a[13] * b[10]);
long c24 = (a[11] * b[13]) + (a[12] * b[12]) + (a[13] * b[11]);
long c25 = (a[12] * b[13]) + (a[13] * b[12]);
long c26 = (a[13] * b[13]);
carryReduce(r, c0, c1, c2, c3, c4, c5, c6, c7, c8, c9, c10, c11, c12, c13, c14, c15, c16, c17, c18, c19, c20, c21, c22, c23, c24, c25, c26);
}
@Override
protected void reduce(long[] a) {
carryReduce(a, a[0], a[1], a[2], a[3], a[4], a[5], a[6], a[7], a[8], a[9], a[10], a[11], a[12], a[13]);
}
@Override
protected void square(long[] a, long[] r) {
long c0 = (a[0] * a[0]);
long c1 = 2 * ((a[0] * a[1]));
long c2 = 2 * ((a[0] * a[2])) + (a[1] * a[1]);
long c3 = 2 * ((a[0] * a[3]) + (a[1] * a[2]));
long c4 = 2 * ((a[0] * a[4]) + (a[1] * a[3])) + (a[2] * a[2]);
long c5 = 2 * ((a[0] * a[5]) + (a[1] * a[4]) + (a[2] * a[3]));
long c6 = 2 * ((a[0] * a[6]) + (a[1] * a[5]) + (a[2] * a[4])) + (a[3] * a[3]);
long c7 = 2 * ((a[0] * a[7]) + (a[1] * a[6]) + (a[2] * a[5]) + (a[3] * a[4]));
long c8 = 2 * ((a[0] * a[8]) + (a[1] * a[7]) + (a[2] * a[6]) + (a[3] * a[5])) + (a[4] * a[4]);
long c9 = 2 * ((a[0] * a[9]) + (a[1] * a[8]) + (a[2] * a[7]) + (a[3] * a[6]) + (a[4] * a[5]));
long c10 = 2 * ((a[0] * a[10]) + (a[1] * a[9]) + (a[2] * a[8]) + (a[3] * a[7]) + (a[4] * a[6])) + (a[5] * a[5]);
long c11 = 2 * ((a[0] * a[11]) + (a[1] * a[10]) + (a[2] * a[9]) + (a[3] * a[8]) + (a[4] * a[7]) + (a[5] * a[6]));
long c12 = 2 * ((a[0] * a[12]) + (a[1] * a[11]) + (a[2] * a[10]) + (a[3] * a[9]) + (a[4] * a[8]) + (a[5] * a[7])) + (a[6] * a[6]);
long c13 = 2 * ((a[0] * a[13]) + (a[1] * a[12]) + (a[2] * a[11]) + (a[3] * a[10]) + (a[4] * a[9]) + (a[5] * a[8]) + (a[6] * a[7]));
long c14 = 2 * ((a[1] * a[13]) + (a[2] * a[12]) + (a[3] * a[11]) + (a[4] * a[10]) + (a[5] * a[9]) + (a[6] * a[8])) + (a[7] * a[7]);
long c15 = 2 * ((a[2] * a[13]) + (a[3] * a[12]) + (a[4] * a[11]) + (a[5] * a[10]) + (a[6] * a[9]) + (a[7] * a[8]));
long c16 = 2 * ((a[3] * a[13]) + (a[4] * a[12]) + (a[5] * a[11]) + (a[6] * a[10]) + (a[7] * a[9])) + (a[8] * a[8]);
long c17 = 2 * ((a[4] * a[13]) + (a[5] * a[12]) + (a[6] * a[11]) + (a[7] * a[10]) + (a[8] * a[9]));
long c18 = 2 * ((a[5] * a[13]) + (a[6] * a[12]) + (a[7] * a[11]) + (a[8] * a[10])) + (a[9] * a[9]);
long c19 = 2 * ((a[6] * a[13]) + (a[7] * a[12]) + (a[8] * a[11]) + (a[9] * a[10]));
long c20 = 2 * ((a[7] * a[13]) + (a[8] * a[12]) + (a[9] * a[11])) + (a[10] * a[10]);
long c21 = 2 * ((a[8] * a[13]) + (a[9] * a[12]) + (a[10] * a[11]));
long c22 = 2 * ((a[9] * a[13]) + (a[10] * a[12])) + (a[11] * a[11]);
long c23 = 2 * ((a[10] * a[13]) + (a[11] * a[12]));
long c24 = 2 * ((a[11] * a[13])) + (a[12] * a[12]);
long c25 = 2 * ((a[12] * a[13]));
long c26 = (a[13] * a[13]);
carryReduce(r, c0, c1, c2, c3, c4, c5, c6, c7, c8, c9, c10, c11, c12, c13, c14, c15, c16, c17, c18, c19, c20, c21, c22, c23, c24, c25, c26);
}
}

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src/java.base/share/classes/sun/security/util/math/intpoly/P521OrderField.java
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