327 lines
10 KiB
C++
327 lines
10 KiB
C++
/* Test suite for the library. First, it ``tests'' that all the constructs it
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* uses compile successfully. Then, its output to stdout is compared to the
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* expected output automatically extracted from slash-slash comments below.
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*
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* NOTE: For now, the test suite expects a 32-bit system. On others, some tests
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* may fail, and it may be ineffective at catching bugs. TODO: Remedy this. */
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#include "BigIntegerLibrary.hh"
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#include <string>
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#include <iostream>
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using namespace std;
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// Evaluate expr and print the result or "error" as appropriate.
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#define TEST(expr) do {\
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cout << "Line " << __LINE__ << ": ";\
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try {\
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cout << (expr);\
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} catch (const char *err) {\
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cout << "error";\
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}\
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cout << endl;\
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} while (0)
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const BigUnsigned &check(const BigUnsigned &x) {
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unsigned int l = x.getLength();
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if (l != 0 && x.getBlock(l-1) == 0)
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cout << "check: Unzapped number!" << endl;
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if (l > x.getCapacity())
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cout << "check: Capacity inconsistent with length!" << endl;
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return x;
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}
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const BigInteger &check(const BigInteger &x) {
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if (x.getSign() == 0 && !x.getMagnitude().isZero())
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cout << "check: Sign should not be zero!" << endl;
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if (x.getSign() != 0 && x.getMagnitude().isZero())
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cout << "check: Sign should be zero!" << endl;
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check(x.getMagnitude());
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return x;
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}
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short pathologicalShort = ~((unsigned short)(~0) >> 1);
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int pathologicalInt = ~((unsigned int)(~0) >> 1);
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long pathologicalLong = ~((unsigned long)(~0) >> 1);
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int main() {
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try {
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BigUnsigned z(0), one(1), ten(10);
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TEST(z); //0
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TEST(1); //1
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TEST(10); //10
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// TODO: Comprehensively test the general and special cases of each function.
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// === Default constructors ===
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TEST(check(BigUnsigned())); //0
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TEST(check(BigInteger())); //0
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// === Block-array constructors ===
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BigUnsigned::Blk myBlocks[3];
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myBlocks[0] = 3;
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myBlocks[1] = 4;
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myBlocks[2] = 0;
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BigUnsigned bu(myBlocks, 3);
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TEST(check(bu)); //17179869187
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TEST(check(BigInteger(myBlocks, 3))); //17179869187
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TEST(check(BigInteger(bu ))); //17179869187
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// For nonzero magnitude, reject zero and invalid signs.
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TEST(check(BigInteger(myBlocks, 3, BigInteger::positive))); //17179869187
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TEST(check(BigInteger(myBlocks, 3, BigInteger::negative))); //-17179869187
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TEST(check(BigInteger(myBlocks, 3, BigInteger::zero ))); //error
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TEST(check(BigInteger(bu, BigInteger::positive))); //17179869187
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TEST(check(BigInteger(bu, BigInteger::negative))); //-17179869187
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TEST(check(BigInteger(bu, BigInteger::zero ))); //error
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// For zero magnitude, force the sign to zero without error.
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BigUnsigned::Blk myZeroBlocks[1];
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myZeroBlocks[0] = 0;
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TEST(check(BigInteger(myZeroBlocks, 1, BigInteger::positive))); //0
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TEST(check(BigInteger(myZeroBlocks, 1, BigInteger::negative))); //0
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TEST(check(BigInteger(myZeroBlocks, 1, BigInteger::zero ))); //0
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// === BigUnsigned conversion limits ===
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TEST(BigUnsigned(0).toUnsignedLong()); //0
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TEST(BigUnsigned(4294967295U).toUnsignedLong()); //4294967295
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TEST(stringToBigUnsigned("4294967296").toUnsignedLong()); //error
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TEST(BigUnsigned(0).toLong()); //0
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TEST(BigUnsigned(2147483647).toLong()); //2147483647
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TEST(BigUnsigned(2147483648U).toLong()); //error
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// int is the same as long on a 32-bit system
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TEST(BigUnsigned(0).toUnsignedInt()); //0
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TEST(BigUnsigned(4294967295U).toUnsignedInt()); //4294967295
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TEST(stringToBigUnsigned("4294967296").toUnsignedInt()); //error
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TEST(BigUnsigned(0).toInt()); //0
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TEST(BigUnsigned(2147483647).toInt()); //2147483647
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TEST(BigUnsigned(2147483648U).toInt()); //error
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TEST(BigUnsigned(0).toUnsignedShort()); //0
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TEST(BigUnsigned(65535).toUnsignedShort()); //65535
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TEST(BigUnsigned(65536).toUnsignedShort()); //error
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TEST(BigUnsigned(0).toShort()); //0
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TEST(BigUnsigned(32767).toShort()); //32767
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TEST(BigUnsigned(32768).toShort()); //error
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// === BigInteger conversion limits ===
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TEST(BigInteger(-1).toUnsignedLong()); //error
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TEST(BigInteger(0).toUnsignedLong()); //0
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TEST(BigInteger(4294967295U).toUnsignedLong()); //4294967295
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TEST(stringToBigInteger("4294967296").toUnsignedLong()); //error
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TEST(stringToBigInteger("-2147483649").toLong()); //error
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TEST(stringToBigInteger("-2147483648").toLong()); //-2147483648
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TEST(BigInteger(-2147483647).toLong()); //-2147483647
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TEST(BigInteger(0).toLong()); //0
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TEST(BigInteger(2147483647).toLong()); //2147483647
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TEST(BigInteger(2147483648U).toLong()); //error
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// int is the same as long on a 32-bit system
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TEST(BigInteger(-1).toUnsignedInt()); //error
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TEST(BigInteger(0).toUnsignedInt()); //0
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TEST(BigInteger(4294967295U).toUnsignedInt()); //4294967295
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TEST(stringToBigInteger("4294967296").toUnsignedInt()); //error
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TEST(stringToBigInteger("-2147483649").toInt()); //error
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TEST(stringToBigInteger("-2147483648").toInt()); //-2147483648
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TEST(BigInteger(-2147483647).toInt()); //-2147483647
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TEST(BigInteger(0).toInt()); //0
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TEST(BigInteger(2147483647).toInt()); //2147483647
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TEST(BigInteger(2147483648U).toInt()); //error
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TEST(BigInteger(-1).toUnsignedShort()); //error
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TEST(BigInteger(0).toUnsignedShort()); //0
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TEST(BigInteger(65535).toUnsignedShort()); //65535
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TEST(BigInteger(65536).toUnsignedShort()); //error
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TEST(BigInteger(-32769).toShort()); //error
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TEST(BigInteger(-32768).toShort()); //-32768
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TEST(BigInteger(-32767).toShort()); //-32767
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TEST(BigInteger(0).toShort()); //0
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TEST(BigInteger(32767).toShort()); //32767
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TEST(BigInteger(32768).toShort()); //error
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// === Negative BigUnsigneds ===
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// ...during construction
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TEST(BigUnsigned(short(-1))); //error
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TEST(BigUnsigned(pathologicalShort)); //error
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TEST(BigUnsigned(-1)); //error
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TEST(BigUnsigned(pathologicalInt)); //error
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TEST(BigUnsigned(long(-1))); //error
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TEST(BigUnsigned(pathologicalLong)); //error
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// ...during subtraction
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TEST(BigUnsigned(5) - BigUnsigned(6)); //error
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TEST(stringToBigUnsigned("314159265358979323") - stringToBigUnsigned("314159265358979324")); //error
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TEST(check(BigUnsigned(5) - BigUnsigned(5))); //0
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TEST(check(stringToBigUnsigned("314159265358979323") - stringToBigUnsigned("314159265358979323"))); //0
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TEST(check(stringToBigUnsigned("4294967296") - BigUnsigned(1))); //4294967295
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// === BigUnsigned addition ===
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TEST(check(BigUnsigned(0) + 0)); //0
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TEST(check(BigUnsigned(0) + 1)); //1
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// Ordinary carry
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TEST(check(stringToBigUnsigned("8589934591" /* 2^33 - 1*/)
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+ stringToBigUnsigned("4294967298" /* 2^32 + 2 */))); //12884901889
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// Creation of a new block
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TEST(check(BigUnsigned(0xFFFFFFFFU) + 1)); //4294967296
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// === BigUnsigned subtraction ===
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TEST(check(BigUnsigned(1) - 0)); //1
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TEST(check(BigUnsigned(1) - 1)); //0
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TEST(check(BigUnsigned(2) - 1)); //1
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// Ordinary borrow
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TEST(check(stringToBigUnsigned("12884901889")
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- stringToBigUnsigned("4294967298"))); //8589934591
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// Borrow that removes a block
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TEST(check(stringToBigUnsigned("4294967296") - 1)); //4294967295
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// === BigUnsigned multiplication and division ===
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BigUnsigned a = check(BigUnsigned(314159265) * 358979323);
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TEST(a); //112776680263877595
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TEST(a / 123); //916883579381118
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TEST(a % 123); //81
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TEST(BigUnsigned(5) / 0); //error
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// === Block accessors ===
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BigUnsigned b;
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TEST(b); //0
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TEST(b.getBlock(0)); //0
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b.setBlock(1, 314);
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// Did b grow properly? And did we zero intermediate blocks?
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TEST(check(b)); //1348619730944
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TEST(b.getLength()); //2
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TEST(b.getBlock(0)); //0
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TEST(b.getBlock(1)); //314
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// Did b shrink properly?
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b.setBlock(1, 0);
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TEST(check(b)); //0
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BigUnsigned bb(314);
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bb.setBlock(1, 159);
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// Make sure we used allocateAndCopy, not allocate
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TEST(bb.getBlock(0)); //314
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TEST(bb.getBlock(1)); //159
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// Blocks beyond the number should be zero regardless of whether they are
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// within the capacity.
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bb.add(1, 2);
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TEST(bb.getBlock(0)); //3
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TEST(bb.getBlock(1)); //0
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TEST(bb.getBlock(2)); //0
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TEST(bb.getBlock(314159)); //0
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// === Bit accessors ===
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TEST(BigUnsigned(0).bitLength()); //0
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TEST(BigUnsigned(1).bitLength()); //1
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TEST(BigUnsigned(4095).bitLength()); //12
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TEST(BigUnsigned(4096).bitLength()); //13
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// 5 billion is between 2^32 (about 4 billion) and 2^33 (about 8 billion).
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TEST(stringToBigUnsigned("5000000000").bitLength()); //33
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// 25 is binary 11001.
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BigUnsigned bbb(25);
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TEST(bbb.getBit(4)); //1
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TEST(bbb.getBit(3)); //1
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TEST(bbb.getBit(2)); //0
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TEST(bbb.getBit(1)); //0
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TEST(bbb.getBit(0)); //1
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TEST(bbb.bitLength()); //5
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// Effectively add 2^32.
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bbb.setBit(32, true);
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TEST(bbb); //4294967321
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bbb.setBit(31, true);
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bbb.setBit(32, false);
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TEST(check(bbb)); //2147483673
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// === Combining BigUnsigned, BigInteger, and primitive integers ===
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BigUnsigned p1 = BigUnsigned(3) * 5;
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TEST(p1); //15
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/* In this case, we would like g++ to implicitly promote the BigUnsigned to a
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* BigInteger, but it seems to prefer converting the -5 to a BigUnsigned, which
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* causes an error. If I take out constructors for BigUnsigned from signed
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* primitive integers, the BigUnsigned(3) becomes ambiguous, and if I take out
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* all the constructors but BigUnsigned(unsigned long), g++ uses that
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* constructor and gets a wrong (positive) answer. Thus, I think we'll just
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* have to live with this cast. */
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BigInteger p2 = BigInteger(BigUnsigned(3)) * -5;
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TEST(p2); //-15
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// === Test some previous bugs ===
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{
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/* Test that BigInteger division sets the sign to zero.
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* Bug reported by David Allen. */
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BigInteger num(3), denom(5), quotient;
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num.divideWithRemainder(denom, quotient);
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check(quotient);
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num = 5;
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num.divideWithRemainder(denom, quotient);
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check(num);
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}
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{
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/* Test that BigInteger subtraction sets the sign properly.
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* Bug reported by Samuel Larkin. */
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BigInteger zero(0), three(3), ans;
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ans = zero - three;
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TEST(check(ans).getSign()); //-1
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}
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{
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/* Test that BigInteger multiplication shifts bits properly on systems
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* where long is bigger than int. (Obviously, this would only catch the
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* bug when run on such a system.)
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* Bug reported by Mohand Mezmaz. */
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BigInteger f=4; f*=3;
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TEST(check(f)); //12
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}
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{
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/* Test that bitwise XOR allocates the larger length.
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* Bug reported by Sriram Sankararaman. */
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BigUnsigned a(0), b(3), ans;
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ans = a ^ b;
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TEST(ans); //3
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}
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{
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/* Test that an aliased multiplication works.
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* Bug reported by Boris Dessy. */
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BigInteger num(5);
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num *= num;
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TEST(check(num)); //25
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}
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{
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/* Test that BigUnsignedInABase(std::string) constructor rejects digits
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* too big for the specified base.
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* Bug reported by Niakam Kazemi. */
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TEST(BigUnsignedInABase("f", 10)); //error
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}
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} catch (const char *err) {
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cout << "UNCAUGHT ERROR: " << err << endl;
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}
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return 0;
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}
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