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added test for rounding and added subtests. #37

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207 changes: 108 additions & 99 deletions t/macros/pgaux.t
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Expand Up @@ -13,105 +13,114 @@ do "$ENV{PG_ROOT}/t/build_PG_envir.pl";

loadMacros('PGauxiliaryFunctions.pl');

# test step functions

is(step(8), 1, "step: positive number");
is(step(-8), 0, "step: negative number");
is(step(0), 0, "step: step(0)=0");

# test floor function

is(floor(0.5), 0, "floor: positive non-integer");
is(floor(-0.5), -1, "floor: negative non-integer");
is(floor(1), 1, "floor: positive integer");
is(floor(0), 0, "floor: floor(0)=0");
is(floor(-1), -1, "floor: negative integer");

# test ceiling function

is(ceil(0.5), 1, "ceil: positive non-integer");
is(ceil(-0.5), 0, "ceil: negative non-integer");
is(ceil(1), 1, "ceil: positive integer");
is(ceil(0), 0, "ceil: floor(0)=0");
is(ceil(-1), -1, "ceil: negative integer");

# max/min functions

is(max(1, 2, 3, 9, 4, 5, 6, 8), 9, "max: set of integers");
is(max(0.1, -2.3, 1.345, 2.71712, -1000.1), 2.71712, "max: set of decimals");
is(min(1, 2, 3, 9, 4, 5, 6, 8), 1, "min: set of integers");
is(min(0.1, -2.3, 1.345, 2.71712, -1000.1), -1000.1, "min: set of decimals");

# round function

is(round(0.95), 1, "round: fractional part > 0.5");
is(round(0.45), 0, "round: fractional part < 0.5");
is(round(0.5), 1, "round: fractional part = 0.5");
is(round(-0.95), -1, "round: fractional part > 0.5 and negative");
is(round(-0.45), 0, "round: fractional part < 0.5 and negative");
is(round(-0.5), -1, "round: fractional part = 0.5 and negative");

# Round function which takes a second number, the number of digits to round to

is(Round(1.793, 2), 1.79, "Round to 2 digits: test 1");
is(Round(1.797, 2), 1.80, "Round to 2 digits: test 2");
is(Round(1.795, 2), 1.80, "Round to 2 digits: test 3");
is(Round(-1.793, 2), -1.79, "Round to 2 digits: test 1");
is(Round(-1.797, 2), -1.80, "Round to 2 digits: test 2");
is(Round(-1.795, 2), -1.80, "Round to 2 digits: test 3");

is(Round(15.793, -1), 20, "Round to -1 digits (nearest 10)");

# lcm

is(lcm(20, 30), 60, "lcm: non relatively prime numbers");
is(lcm(5, 6), 30, "lcm: relatively prime numbers");
is(lcm(2, 3, 4), 12, "lcm: 3 numbers");
is(lcm(2, 3, 4, 5, 6, 7, 8), 840, "lcm: 7 numbers");

# gcd
is(gcd(16, 8), 8, "gcd: 2 powers of 2");
is(gcd(10, 9), 1, "gcd: 2 relatively prime");

is(gcd(10, 20, 30, 40), 10, "gcd: 4 multiples of 10");

# isPrime
is(isPrime(7), 1, "isPrime: 7 is prime");
is(isPrime(2), 1, "isPrime: 2 is prime");
is(isPrime(15), 0, "isPrime: 15 is not prime");
subtest 'Step function' => sub {
is(step(8), 1, "step: positive number");
is(step(-8), 0, "step: negative number");
is(step(0), 0, "step: step(0)=0");
};

subtest 'Floor function' => sub {
is(floor(0.5), 0, "floor: positive non-integer");
is(floor(-0.5), -1, "floor: negative non-integer");
is(floor(1), 1, "floor: positive integer");
is(floor(0), 0, "floor: floor(0)=0");
is(floor(-1), -1, "floor: negative integer");
};

subtest 'Ceiling function' => sub {
is(ceil(0.5), 1, "ceil: positive non-integer");
is(ceil(-0.5), 0, "ceil: negative non-integer");
is(ceil(1), 1, "ceil: positive integer");
is(ceil(0), 0, "ceil: floor(0)=0");
is(ceil(-1), -1, "ceil: negative integer");
};

subtest 'Min and Max functions' => sub {
is(max(1, 2, 3, 9, 4, 5, 6, 8), 9, "max: set of integers");
is(max(0.1, -2.3, 1.345, 2.71712, -1000.1), 2.71712, "max: set of decimals");
is(min(1, 2, 3, 9, 4, 5, 6, 8), 1, "min: set of integers");
is(min(0.1, -2.3, 1.345, 2.71712, -1000.1), -1000.1, "min: set of decimals");
};

subtest 'round and Round functions' => sub {
is(round(0.95), 1, "round: fractional part > 0.5");
is(round(0.45), 0, "round: fractional part < 0.5");
is(round(0.5), 1, "round: fractional part = 0.5");
is(round(-0.95), -1, "round: fractional part > 0.5 and negative");
is(round(-0.45), 0, "round: fractional part < 0.5 and negative");
is(round(-0.5), -1, "round: fractional part = 0.5 and negative");

# Round function which takes a second number, the number of digits to round to

is(Round(1.793, 2), 1.79, "Round to 2 digits: test 1");
is(Round(1.797, 2), 1.80, "Round to 2 digits: test 2");
is(Round(1.795, 2), 1.80, "Round to 2 digits: test 3");
is(Round(-1.793, 2), -1.79, "Round to 2 digits: test 1");
is(Round(-1.797, 2), -1.80, "Round to 2 digits: test 2");
is(Round(-1.795, 2), -1.80, "Round to 2 digits: test 3");

is(Round(15.793, -1), 20, "Round to -1 digits (nearest 10)");

# tests that round handles some cases related to precision loss in calculations

is(Round(134.49999999999997, 0), 135.0, 'Round a number close to 0.5');
is(Round(0.01499999999991, 3), 0.015, 'Round a number close to 0.005 to 2 digits');
};

subtest 'lcm and gcd functions' => sub {
is(lcm(20, 30), 60, "lcm: non relatively prime numbers");
is(lcm(5, 6), 30, "lcm: relatively prime numbers");
is(lcm(2, 3, 4), 12, "lcm: 3 numbers");
is(lcm(2, 3, 4, 5, 6, 7, 8), 840, "lcm: 7 numbers");

# gcd
is(gcd(16, 8), 8, "gcd: 2 powers of 2");
is(gcd(10, 9), 1, "gcd: 2 relatively prime");

is(gcd(10, 20, 30, 40), 10, "gcd: 4 multiples of 10");

};

subtest 'isPrime function' => sub {
is(isPrime(7), 1, "isPrime: 7 is prime");
is(isPrime(2), 1, "isPrime: 2 is prime");
is(isPrime(15), 0, "isPrime: 15 is not prime");
};

# random_coprime

my $sum = 0;
for my $i (1 .. 100) {
my @coprimes = random_coprime([ 1 .. 20 ], [ 1 .. 20 ]);
$sum += gcd($coprimes[0], $coprimes[1]);
}
is($sum, 100, "random_coprime: 100 tests in 1..20,1..20");

$sum = 0;

for my $i (1 .. 100) {
my @coprimes = random_coprime([ -9 .. -1, 1 .. 9 ], [ 1 .. 9 ], [ 1 .. 9 ]);
$sum += gcd(@coprimes);
}
is($sum, 100, "random_coprime: 100 tests in [-9..-1,1..9],[1..9],[1..9]");

my ($sum1, $sum2, $sum3, $sum4) = (0, 0, 0);
for my $i (1 .. 100) {
my @coprimes = random_pairwise_coprime([ -9 .. -1, 1 .. 9 ], [ 1 .. 9 ], [ 1 .. 9 ]);
$sum1 += gcd(@coprimes);
$sum2 += gcd($coprimes[0], $coprimes[1]);
$sum3 += gcd($coprimes[0], $coprimes[2]);
$sum4 += gcd($coprimes[1], $coprimes[2]);
}
is($sum1 + $sum2 + $sum3 + $sum4, 400, "random_pairwise_coprime: 100 tests of [-9..-1,1..9],[1..9],[1..9]");

# reduce
# it would be nicer to directly compare the arrays
my @my_arr = (3, 4);
my @res = reduce(15, 20);
is($my_arr[0], $res[0], "reduce: correct numerator");
is($my_arr[1], $res[1], "reduce: correct denominator");

subtest 'random_coprime function' => sub {
my $sum = 0;
for my $i (1 .. 100) {
my @coprimes = random_coprime([ 1 .. 20 ], [ 1 .. 20 ]);
$sum += gcd($coprimes[0], $coprimes[1]);
}
is($sum, 100, "random_coprime: 100 tests in 1..20,1..20");

$sum = 0;

for my $i (1 .. 100) {
my @coprimes = random_coprime([ -9 .. -1, 1 .. 9 ], [ 1 .. 9 ], [ 1 .. 9 ]);
$sum += gcd(@coprimes);
}
is($sum, 100, "random_coprime: 100 tests in [-9..-1,1..9],[1..9],[1..9]");

my ($sum1, $sum2, $sum3, $sum4) = (0, 0, 0);
for my $i (1 .. 100) {
my @coprimes = random_pairwise_coprime([ -9 .. -1, 1 .. 9 ], [ 1 .. 9 ], [ 1 .. 9 ]);
$sum1 += gcd(@coprimes);
$sum2 += gcd($coprimes[0], $coprimes[1]);
$sum3 += gcd($coprimes[0], $coprimes[2]);
$sum4 += gcd($coprimes[1], $coprimes[2]);
}
is($sum1 + $sum2 + $sum3 + $sum4, 400, "random_pairwise_coprime: 100 tests of [-9..-1,1..9],[1..9],[1..9]");
};

subtest 'reduce function' => sub {

# Note: this is testing reduction of fractions. Not sure why this is here.
my @my_arr = (3, 4);
my @res = reduce(15, 20);
is($my_arr[0], $res[0], "reduce: correct numerator");
is($my_arr[1], $res[1], "reduce: correct denominator");
};
done_testing;