Add a bunch more tests to the test suite, some of which require a 32-bit system.

[bigint/bigint.git] / testsuite.cc

/* Test suite for the library.  First, it ``tests'' that all the constructs it
 * uses compile successfully.  Then, its output to stdout is compared to the
 * expected output automatically extracted from slash-slash comments below.
 * 
 * NOTE: For now, the test suite expects a 32-bit system.  On others, some tests
 * may fail, and it may be ineffective at catching bugs.  TODO: Remedy this. */

#include "BigIntegerLibrary.hh"

#include <string>
#include <iostream>
using namespace std;

// Evaluate expr and print the result or "error" as appropriate.
#define TEST(expr) do {\
	cout << "Line " << __LINE__ << ": ";\
	try {\
		cout << (expr);\
	} catch (const char *err) {\
		cout << "error";\
	}\
	cout << endl;\
} while (0)

const BigUnsigned &check(const BigUnsigned &x) {
	unsigned int l = x.getLength();
	if (l != 0 && x.getBlock(l-1) == 0)
		cout << "check: Unzapped number!" << endl;
	if (l > x.getCapacity())
		cout << "check: Capacity inconsistent with length!" << endl;
	return x;
}

const BigInteger &check(const BigInteger &x) {
	if (x.getSign() == 0 && !x.getMagnitude().isZero())
		cout << "check: Sign should not be zero!" << endl;
	if (x.getSign() != 0 && x.getMagnitude().isZero())
		cout << "check: Sign should be zero!" << endl;
	check(x.getMagnitude());
	return x;
}

short pathologicalShort = ~((unsigned short)(~0) >> 1);
int pathologicalInt = ~((unsigned int)(~0) >> 1);
long pathologicalLong = ~((unsigned long)(~0) >> 1);

int main() {

try {

BigUnsigned z(0), one(1), ten(10);
TEST(z); //0
TEST(1); //1
TEST(10); //10

// TODO: Comprehensively test the general and special cases of each function.

// Default constructors
TEST(check(BigUnsigned())); //0
TEST(check(BigInteger())); //0

// BigUnsigned conversion limits
TEST(BigUnsigned(0).toUnsignedLong()); //0
TEST(BigUnsigned(4294967295U).toUnsignedLong()); //4294967295
TEST(stringToBigUnsigned("4294967296").toUnsignedLong()); //error

TEST(BigUnsigned(0).toLong()); //0
TEST(BigUnsigned(2147483647).toLong()); //2147483647
TEST(BigUnsigned(2147483648U).toLong()); //error

// int is the same as long on a 32-bit system
TEST(BigUnsigned(0).toUnsignedInt()); //0
TEST(BigUnsigned(4294967295U).toUnsignedInt()); //4294967295
TEST(stringToBigUnsigned("4294967296").toUnsignedInt()); //error

TEST(BigUnsigned(0).toInt()); //0
TEST(BigUnsigned(2147483647).toInt()); //2147483647
TEST(BigUnsigned(2147483648U).toInt()); //error

TEST(BigUnsigned(0).toUnsignedShort()); //0
TEST(BigUnsigned(65535).toUnsignedShort()); //65535
TEST(BigUnsigned(65536).toUnsignedShort()); //error

TEST(BigUnsigned(0).toShort()); //0
TEST(BigUnsigned(32767).toShort()); //32767
TEST(BigUnsigned(32768).toShort()); //error

// BigInteger conversion limits
TEST(BigInteger(-1).toUnsignedLong()); //error
TEST(BigInteger(0).toUnsignedLong()); //0
TEST(BigInteger(4294967295U).toUnsignedLong()); //4294967295
TEST(stringToBigInteger("4294967296").toUnsignedLong()); //error

TEST(stringToBigInteger("-2147483649").toLong()); //error
TEST(stringToBigInteger("-2147483648").toLong()); //-2147483648
TEST(BigInteger(-2147483647).toLong()); //-2147483647
TEST(BigInteger(0).toLong()); //0
TEST(BigInteger(2147483647).toLong()); //2147483647
TEST(BigInteger(2147483648U).toLong()); //error

// int is the same as long on a 32-bit system
TEST(BigInteger(-1).toUnsignedInt()); //error
TEST(BigInteger(0).toUnsignedInt()); //0
TEST(BigInteger(4294967295U).toUnsignedInt()); //4294967295
TEST(stringToBigInteger("4294967296").toUnsignedInt()); //error

TEST(stringToBigInteger("-2147483649").toInt()); //error
TEST(stringToBigInteger("-2147483648").toInt()); //-2147483648
TEST(BigInteger(-2147483647).toInt()); //-2147483647
TEST(BigInteger(0).toInt()); //0
TEST(BigInteger(2147483647).toInt()); //2147483647
TEST(BigInteger(2147483648U).toInt()); //error

TEST(BigInteger(-1).toUnsignedShort()); //error
TEST(BigInteger(0).toUnsignedShort()); //0
TEST(BigInteger(65535).toUnsignedShort()); //65535
TEST(BigInteger(65536).toUnsignedShort()); //error

TEST(BigInteger(-32769).toShort()); //error
TEST(BigInteger(-32768).toShort()); //-32768
TEST(BigInteger(-32767).toShort()); //-32767
TEST(BigInteger(0).toShort()); //0
TEST(BigInteger(32767).toShort()); //32767
TEST(BigInteger(32768).toShort()); //error

// Negative BigUnsigneds
// ...during construction
TEST(BigUnsigned(short(-1))); //error
TEST(BigUnsigned(pathologicalShort)); //error
TEST(BigUnsigned(-1)); //error
TEST(BigUnsigned(pathologicalInt)); //error
TEST(BigUnsigned(long(-1))); //error
TEST(BigUnsigned(pathologicalLong)); //error
// ...during subtraction
TEST(BigUnsigned(5) - BigUnsigned(6)); //error
TEST(stringToBigUnsigned("314159265358979323") - stringToBigUnsigned("314159265358979324")); //error
TEST(check(BigUnsigned(5) - BigUnsigned(5))); //0
TEST(check(stringToBigUnsigned("314159265358979323") - stringToBigUnsigned("314159265358979323"))); //0
TEST(check(stringToBigUnsigned("4294967296") - BigUnsigned(1))); //4294967295

// Addition
TEST(check(BigUnsigned(0) + 0)); //0
TEST(check(BigUnsigned(0) + 1)); //1
// Ordinary carry
TEST(check(stringToBigUnsigned("8589934591" /* 2^33 - 1*/)
		+ stringToBigUnsigned("4294967298" /* 2^32 + 2 */))); //12884901889
// Creation of a new block
TEST(check(BigUnsigned(0xFFFFFFFFU) + 1)); //4294967296

// Subtraction
TEST(check(BigUnsigned(1) - 0)); //1
TEST(check(BigUnsigned(1) - 1)); //0
TEST(check(BigUnsigned(2) - 1)); //1
// Ordinary borrow
TEST(check(stringToBigUnsigned("12884901889")
		- stringToBigUnsigned("4294967298"))); //8589934591
// Borrow that removes a block
TEST(check(stringToBigUnsigned("4294967296") - 1)); //4294967295

// Multiplication and division
BigUnsigned a = check(BigUnsigned(314159265) * 358979323);
TEST(a); //112776680263877595
TEST(a / 123); //916883579381118
TEST(a % 123); //81

TEST(BigUnsigned(5) / 0); //error

BigUnsigned p1 = BigUnsigned(3) * 5;
TEST(p1); //15
/* In this case, we would like g++ to implicitly promote the BigUnsigned to a
 * BigInteger, but it seems to prefer converting the -5 to a BigUnsigned, which
 * causes an error.  If I take out constructors for BigUnsigned from signed
 * primitive integers, the BigUnsigned(3) becomes ambiguous, and if I take out
 * all the constructors but BigUnsigned(unsigned long), g++ uses that
 * constructor and gets a wrong (positive) answer.  Thus, I think we'll just
 * have to live with this cast. */
BigInteger p2 = BigInteger(BigUnsigned(3)) * -5;
TEST(p2); //-15

{
	/* Test that BigInteger division sets the sign to zero.
	 * Bug reported by David Allen. */
	BigInteger num(3), denom(5), quotient;
	num.divideWithRemainder(denom, quotient);
	check(quotient);
	num = 5;
	num.divideWithRemainder(denom, quotient);
	check(num);
}

{
	/* Test that BigInteger subtraction sets the sign properly.
	 * Bug reported by Samuel Larkin. */
	BigInteger zero(0), three(3), ans;
	ans = zero - three;
	TEST(check(ans).getSign()); //-1
}

{
	/* Test that BigInteger multiplication shifts bits properly on systems
	 * where long is bigger than int.  (Obviously, this would only catch the
	 * bug when run on such a system.)
	 * Bug reported by Mohand Mezmaz. */
	BigInteger f=4; f*=3;
	TEST(check(f)); //12
}

{
	/* Test that bitwise XOR allocates the larger length.
	 * Bug reported by Sriram Sankararaman. */
	BigUnsigned a(0), b(3), ans;
	ans = a ^ b;
	TEST(ans); //3
}

{
	/* Test that an aliased multiplication works.
	 * Bug reported by Boris Dessy. */
	BigInteger num(5);
	num *= num;
	TEST(check(num)); //25
}

} catch (const char *err) {
	cout << "UNCAUGHT ERROR: " << err << endl;
}

return 0;
}