bool operator <= (Fraction const &a, int f)
{
Fraction tmp(f);
Fraction r;
r = a - tmp;
r.smart();
if(r.getU() <= 0)
return true;
else
return false;
}
TEST(FractionTest, Can_Set_Denominator) {
// Arrange
Fraction z;
int d = 26;
// Act
z.setDenom(d);
// Assert
EXPECT_EQ(d, z.getDenom());
}
Fraction Tremolo::tremoloLen() const
{
Fraction f;
switch(lines()) {
case 1: f.set(1,8); break;
case 2: f.set(1,16); break;
case 3: f.set(1,32); break;
case 4: f.set(1,64); break;
}
return f;
}
int main(void)
{
Fraction myFract;
myFract.setNumerator(1);
myFract.setDenominator(3);
myFract.print();
return 0;
}
bool operator < (Fraction const &a, int f)
{
Fraction r;
r.u = a.u - f * a.l;
r.l = a.l;
r.smart();
if(r.getU() < 0)
return true;
else
return false;
}
void fractin::on_simplify_clicked()
{
int d=0,c=0;
if(text.isEmpty()){
text="格式不支持！";
ui->show->setText(text);
return;
}
QChar ch=text[0];
text.remove(0,1);
if(!ch.isDigit()){
text="格式不支持！";
ui->show->setText(text);
return;
}
while(ch.isDigit()&&!text.isEmpty()){
d=d*10+ch.unicode()-48;
ch=text[0];
text.remove(0,1);
}
if(text.isEmpty()||ch!='|'){
text="格式不支持！";
ui->show->setText(text);
return;
}
ch=text[0];
text.remove(0,1);
if(!ch.isDigit()){
text="格式不支持！";
ui->show->setText(text);
return;
}
while(ch.isDigit()&&!text.isEmpty()){
c=c*10+ch.unicode()-48;
ch=text[0];
text.remove(0,1);
}
if(ch.isDigit()){
c=c*10+ch.unicode()-48;
Fraction f;
f.Sim(d,c);
text=QString::number(f.getnumer(),10)+"|"+QString::number(f.getdenom(),10);
ui->show->setText(text);
return;
}
else{
text="格式不支持！";
ui->show->setText(text);
return;
}
}
// return the inverse (reciprocal) of this rational object
Rational Rational::inv() const {
Fraction fraction = *this;
// fraction's method to invert;
fraction = fraction.inv();
// reduce to lowest terms
Fraction::toLowestTerms(fraction);
// fraction is already inverted
return Rational(fraction);
}
int main() {
Fraction test;
test.setNum(20);
test.setDen(60);
std::cout << "The ratio of the two numbers is: " << test.getRatio() << std::endl;
std::cout << "The simplified fraction is: ";
test.getFraction();
return 0;
}
Fraction ArrayOfFractions::sum()const {
Fraction fracSum = A[0];
for (int idx=1; idx<frac_count; idx++) {
fracSum.print(); cout<< " + "; A[idx].print(); cout<< " = ";
fracSum = fracSum.add(A[idx]);
fracSum.print();
cout<< "\n";
}
return fracSum;
}
Fraction Fraction::operator/(Fraction &pFraction) {
Fraction tmp;
// validation of fraction in constructor and in method setDenominator()
tmp.counter = (counter * pFraction.denominator);
tmp.denominator = (denominator * pFraction.counter);
try {
tmp.reduce();
} catch (const char *e) {
std::cerr << e << std::endl;
}
return tmp;
}
Fraction& Fraction::operator-(Fraction& one)
{
Fraction tmp = Fraction(0, 0);
int first, second;
first = numerator*one.denominator;
second = one.numerator*denominator;
tmp.numerator = first - second;
tmp.denominator = denominator*one.denominator;
tmp.Neprav();
tmp.Print();
return tmp;
}
TEST_FIXTURE(FractionTestFixture, MultFractions)
{
fract.set(1, 2);
Fraction fract2;
fract2.set(1,2);
Fraction result = fract.mult(fract2);
CHECK_EQUAL(1, result.get_num());
CHECK_EQUAL(4, result.get_den());
}
TEST_FIXTURE(FractionTestFixture, SubtractFractionsWithDifferentDenoms)
{
fract.set(3, 4);
Fraction fract2;
fract2.set(1, 3);
Fraction result = fract.sub(fract2);
CHECK_EQUAL(5, result.get_num());
CHECK_EQUAL(12, result.get_den());
}
TEST_FIXTURE(FractionTestFixture, AddFractionsWithDifferentDenom)
{
fract.set(2, 3);
Fraction fract2;
fract2.set(1,5);
Fraction result = fract.add(fract2);
CHECK_EQUAL(13, result.get_num());
CHECK_EQUAL(15, result.get_den());
}
TEST_FIXTURE(FractionTestFixture, SubtractFractionsWithSameDenom)
{
fract.set(1, 2);
Fraction fract2;
fract2.set(1, 2);
Fraction result = fract.sub(fract2);
CHECK_EQUAL(0, result.get_num());
CHECK_EQUAL(1, result.get_den());
}
void main() {
Fraction f = Fraction(1);
Fraction f2 = Fraction(1,2);
try {
Fraction f3 = Fraction(1,0);
}
catch(exception& e)
{
cout<< e.what() << endl;
}
Fraction f4 = f.addition(f2);
cout << f4.evaluer() << endl;
Fraction f5 = f2.soustraction(f);
cout << f5.evaluer() << endl;
Fraction f6 = f2.soustraction(f2);
cout << f6.evaluer() << endl;
Fraction f7 = f2.multiplication(f);
cout << f7.evaluer() << endl;
Fraction f8 = f4.multiplication(f2);
cout << f8.evaluer() << endl;
Fraction f9 = f.division(f2);
cout << f9.evaluer() << endl;
try {
Fraction f10 = f.division(Fraction(0,1));
cout << f10.evaluer() << endl;
}
catch(exception& e)
{
cout<< e.what() << endl;
}
Fraction f10 = Fraction(INT_MAX,1);
try {
Fraction f11 = f10.addition(f10);
cout << f11.evaluer() << endl;
}
catch(exception& e)
{
cout<< e.what() << endl;
}
cout << "finf" <<endl;
}
TEST_FIXTURE(FractionTestFixture, DivideFractions)
{
fract.set(2, 7);
Fraction fract2;
fract2.set(3, 4);
Fraction result = fract.div(fract2);
CHECK_EQUAL(8, result.get_num());
CHECK_EQUAL(21, result.get_den());
}
TEST_FIXTURE(FractionTestFixture, SubtractFractionsWithNegativeResult)
{
fract.set(1, 3);
Fraction fract2;
fract2.set(3, 4);
Fraction result = fract.sub(fract2);
CHECK_EQUAL(-5, result.get_num());
CHECK_EQUAL(12, result.get_den());
}
const Fraction operator*(const Fraction& term1, const Fraction& term2) {
//Turned into improper fractions and then mulitplied through
Fraction result;
result.SetNumerator(((term1.GetWhole() * term1.GetDenominator()) + term1.GetNumerator()) * ((term2.GetWhole() * term2.GetDenominator()) + term2.GetNumerator()));
result.SetDenominator(term1.GetDenominator() * term2.GetDenominator());
result.Normalize();
return result;
}
Fraction Fraction::operator*(Fraction &pFraction) {
Fraction tmp;
// crosswise multiply
tmp.counter = (counter * pFraction.counter);
tmp.denominator = (denominator * pFraction.denominator);
try {
tmp.reduce();
} catch (const char *e) {
std::cerr << e << std::endl;
}
return tmp;
}
//returns a reduced fraction object
Fraction Fraction::reduce(){
Fraction reduced;
int gcd = GCD(this->numerator,this->denominator);
if(gcd!=1)
{
reduced.setNumerator(this->getNumerator()/gcd);
reduced.setDenominator(this->getDenominator()/gcd);
return reduced;
}
return *this;
}
Number* Fraction::multiply(Number* F1){
Fraction* f1 = dynamic_cast<Fraction*>(F1);
Fraction* f2 = dynamic_cast<Fraction*>(this);
if(f1 && f2){
Number* n1 = f1->getNumerator();
Number* n2 = f2->getNumerator();
Number* d1 = f1->getDenominator();
Number* d2 = f2->getDenominator();
Integer* i1 = dynamic_cast<Integer*>(n1);
Integer* i2 = dynamic_cast<Integer*>(n2);
Integer* i3 = dynamic_cast<Integer*>(d1);
Integer* i4 = dynamic_cast<Integer*>(d2);
Number* newNum;
Number* newDen;
if(i3 && i4){
int t3 = i3->getInt();
int t4 = i4->getInt();
newNum = new Integer(t3*t4);
}
else{
newNum = n1->multiply(n2);
}
if(i1 && i2){
int t1 = i1->getInt();
int t2 = i2->getInt();
newDen = new Integer(t1*t2);
}
else{
newDen = d1->multiply(d2);
}
Fraction* Ans = new Fraction(newNum, newDen);
Number* simpleans = Ans->simplify();
return simpleans;
}
else return F1;
}
Number* Fraction::subtract(Number* F1){
Fraction* f1 = dynamic_cast<Fraction*>(F1);
Fraction* f2 = dynamic_cast<Fraction*>(this);
if(f1 && f2){
Number* n1 = f1->getNumerator();
Number* n2 = f2->getNumerator();
Number* d1 = f1->getDenominator();
Number* d2 = f2->getDenominator();
Integer* i1 = dynamic_cast<Integer*>(n1);
Integer* i2 = dynamic_cast<Integer*>(n2);
Integer* i3 = dynamic_cast<Integer*>(d1);
Integer* i4 = dynamic_cast<Integer*>(d2);
if(i1 && i2 && i3 && i4){
Number* lcm = f2->lcd(f1);
Integer* lcd = dynamic_cast<Integer*>(lcm);
int t1 = i1->getInt();
int t2 = i2->getInt();
int t3 = i3->getInt();
int t4 = i4->getInt();
int lcmint = lcd->getInt();
int fact1 = lcmint / t1;
int fact2 = lcmint / t2;
t1 *= fact1;
t3 *= fact1;
t2 *= fact2;
t4 *= fact2;
int diff = t3 - t4;
Integer* newNum = new Integer(diff);
Integer* newDen = new Integer(lcmint);
Fraction* ans = new Fraction(newNum, newDen);
Number* simpleAns = ans->simplify();
return simpleAns;
}
else return F1;
}
else return F1;
}
bool testReducedFraction()
{
typedef typename SB::Integer Integer;
typedef typename SB::Quotient Quotient;
typedef typename SB::Fraction Fraction;
unsigned int nbok = 0;
unsigned int nb = 0;
Integer p = random() / 10000;
Integer q = random() / 10000;
trace.beginBlock ( "Testing block: reduced fraction." );
IntegerComputer<Integer> ic;
Integer g = ic.gcd( p, q );
p /= g;
q /= g;
IntegerComputer<Quotient> ics;
Quotient sp = NumberTraits<Integer>::castToInt64_t( p );
Quotient sq = NumberTraits<Integer>::castToInt64_t( q );
std::vector<Quotient> cf1;
ics.getCFrac( cf1, sp, sq );
Fraction f1 = SB::fraction( p, q );
std::vector<Quotient> cf1_bis;
f1.getCFrac( cf1_bis );
bool ok = equalCFrac<Quotient>( cf1, cf1_bis );
trace.info() << " - p / q = " << p << " / " << q << std::endl;
trace.info() << " - f1 = ";
SB::display( trace.info(), f1 );
trace.info() << std::endl;
++nb, nbok += ok ? 1 : 0;
trace.info() << "(" << nbok << "/" << nb << ") "
<< " cfrac"
<< std::endl;
unsigned int depth = cf1.size();
for ( unsigned int k = 1; k < depth; ++k )
{
std::vector<Quotient> cf1_red;
Fraction fr = f1.reduced( k );
fr.getCFrac( cf1_red );
cf1.resize( depth - k );
ok = equalCFrac<Quotient>( cf1, cf1_red );
++nb, nbok += ok ? 1 : 0;
trace.info() << "(" << nbok << "/" << nb << ") "
<< "reduced(" << k << ")=";
SB::display( trace.info(), fr );
std::cerr << std::endl;
}
//trace.info() << "- nbFractions = " << SB::instance().nbFractions << std::endl;
trace.endBlock();
return nbok == nb;
}
Fraction getRationalized()
{
Fraction f;
// intermediate
int f_dn = (dsr.getn() - ( dn * dn)) / nn;
SquareRoot f_nsr( dsr.getn());
int f_nn = (dn * -1);
int nearby = getnearby( dsr);
// set final
int f_n = (int)((nearby + f_nn) / f_dn);
f.set( NULL, f_n, NULL, f_dn, f_nsr, f_nn - (f_n * f_dn));
return f;
}
int main() {
// greeting
cout << "Enter a fraction and this program will reduce it to its lowest terms\n"
<< "enter 0 for the denominator to quit";
Fraction set;
do {
// the fraction is gotten from the user
set.setNum();
set.setDen();
// the values for the fraction is gotten for the output
set.getNum();
set.getDen();
// the reduced fraction is outputted
if (set.getDen() > 0)
set.lcdOutput();
else
cout << "\nTerminating the program\n\n";
} while (set.getDen() != 0);
}
void options(int &opcion, Fraction & a, Fraction & b){
int tempa, tempb; //Used to store first fraction
int tempx,tempy; //Used to store second fraction
//Ask user for an option
cout << "\nQue desea hacer a continuacion?"
<< "\n\t1) Sumar \n\t2) Restar"
<< "\n\t3) Multiplicar \n\t4) Dividir"
<< "\n\t5) Comparar \n\t6) Ordenar lista"
<< "\n\t7) Calcular sumatoria"
<< endl << "Usted escogio la opcion: ";
cin >> opcion; //Stores the option
//Input validation
while (opcion < 1 || opcion > 7){
cout << "Error! Seleccione una opcion correcta: ";
cin >> opcion;
}
//If the option requires two values, asks for which two of them
if (opcion < 6){
cout << "Someta los siguientes datos para las "
<< "fraciones." << endl;
cout << "Fraccion 1, numerador: ";
cin >> tempa;
cout << "Fraccion 1, denominador: ";
cin >> tempb;
//Input validation
while (tempb == 0){
cout << "El denominador no puede ser 0: ";
cin >> tempb;
}
cout << "Fraccion 2, numerador: ";
cin >> tempx;
cout << "Fraccion 2, denominador: ";
cin >> tempy;
//Input validation
while (tempy == 0){
cout << "El denominador no puede ser 0";
cin >> tempy;
}
//Sets the values
a.setNum(tempa);
a.setDenom(tempb);
b.setNum(tempx);
b.setDenom(tempy);
}
Fraction MxmlSupport::durationAsFraction(const int divisions, const QDomElement e)
{
Fraction f;
if (e.tagName() == "duration") {
bool ok;
int val = MxmlSupport::stringToInt(e.text(), &ok);
f = Fraction(val, 4 * divisions); // note divisions = ticks / quarter note
f.reduce();
}
else {
qDebug() << "durationAsFraction tagname error" << f.print();
}
return f;
}
int monthlyOrder(vector <int> sales, vector <int> daysAvailable) {
int n=sz(sales), d=0;
Fraction sum;
rep(i,n) {
//if (sales[i]==0 || daysAvailable[i]==0) continue;
if (daysAvailable[i]==0) continue;
Fraction expected(sales[i]*30, daysAvailable[i]);
sum += expected;
d++;
}
sum /= d;
return (int)ceil( sum.value() );
}
Fraction Fraction::subtract(const Fraction& other) {
Fraction result;
int result_Numerator, result_Denominator;
// Result denominator is Least Common Denominator
result_Denominator = Fraction::LCD(m_Denominator, other.m_Denominator);
// Use LCD to get numerators
result_Numerator = (result_Denominator / m_Denominator) * m_Numerator
- (result_Denominator / other.m_Denominator) * other.m_Numerator;
result.set(result_Numerator, result_Denominator);
return result;
}
