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nombres rationnels

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This commit is contained in:
Pierre CHATAIGNER
2024-02-25 13:06:11 +01:00
parent a5a14a9763
commit c7268fe536
4 changed files with 265 additions and 5 deletions
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69
makefile Normal file
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# this is the build file for project
# it is autogenerated by the xmake build system.
# do not edit by hand.
ifneq ($(VERBOSE),1)
VV=@
endif
AS=/Library/Developer/CommandLineTools/usr/bin/clang
MXX=/Library/Developer/CommandLineTools/usr/bin/clang
FC=/usr/local/bin/gfortran
CXX=/Library/Developer/CommandLineTools/usr/bin/clang
CU=/usr/bin/clang
MM=/Library/Developer/CommandLineTools/usr/bin/clang
SC=/Library/Developer/CommandLineTools/usr/bin/swiftc
CC=/Library/Developer/CommandLineTools/usr/bin/clang
AR=/Library/Developer/CommandLineTools/usr/bin/ar
FCSH=/usr/local/bin/gfortran
SH=/Library/Developer/CommandLineTools/usr/bin/clang++
SCSH=/Library/Developer/CommandLineTools/usr/bin/swiftc
FCLD=/usr/local/bin/gfortran
LD=/Library/Developer/CommandLineTools/usr/bin/clang++
SCLD=/Library/Developer/CommandLineTools/usr/bin/swiftc
Pivot_LD=/Library/Developer/CommandLineTools/usr/bin/clang++
Pivot_CXX=/Library/Developer/CommandLineTools/usr/bin/clang
Pivot_CXX=/Library/Developer/CommandLineTools/usr/bin/clang
Pivot_CXXFLAGS=-Qunused-arguments -isysroot /Library/Developer/CommandLineTools/SDKs/MacOSX10.14.sdk -fvisibility=hidden -fvisibility-inlines-hidden -O3 -std=c++17 -DNDEBUG
Pivot_CXXFLAGS=-Qunused-arguments -isysroot /Library/Developer/CommandLineTools/SDKs/MacOSX10.14.sdk -fvisibility=hidden -fvisibility-inlines-hidden -O3 -std=c++17 -DNDEBUG
Pivot_LDFLAGS=-isysroot /Library/Developer/CommandLineTools/SDKs/MacOSX10.14.sdk -stdlib=libc++ -lz -Wl,-x -Wl,-dead_strip
default: Pivot
all: Pivot
.PHONY: default all Pivot
Pivot: build/macosx/x86_64/release/Pivot
build/macosx/x86_64/release/Pivot: build/.objs/Pivot/macosx/x86_64/release/src/NR.cpp.o build/.objs/Pivot/macosx/x86_64/release/src/Matrix.cpp.o build/.objs/Pivot/macosx/x86_64/release/src/main.cpp.o
@echo linking.release Pivot
@mkdir -p build/macosx/x86_64/release
$(VV)$(Pivot_LD) -o build/macosx/x86_64/release/Pivot build/.objs/Pivot/macosx/x86_64/release/src/NR.cpp.o build/.objs/Pivot/macosx/x86_64/release/src/Matrix.cpp.o build/.objs/Pivot/macosx/x86_64/release/src/main.cpp.o $(Pivot_LDFLAGS)
build/.objs/Pivot/macosx/x86_64/release/src/NR.cpp.o: src/NR.cpp
@echo compiling.release src/NR.cpp
@mkdir -p build/.objs/Pivot/macosx/x86_64/release/src
$(VV)$(Pivot_CXX) -c $(Pivot_CXXFLAGS) -o build/.objs/Pivot/macosx/x86_64/release/src/NR.cpp.o src/NR.cpp
build/.objs/Pivot/macosx/x86_64/release/src/Matrix.cpp.o: src/Matrix.cpp
@echo compiling.release src/Matrix.cpp
@mkdir -p build/.objs/Pivot/macosx/x86_64/release/src
$(VV)$(Pivot_CXX) -c $(Pivot_CXXFLAGS) -o build/.objs/Pivot/macosx/x86_64/release/src/Matrix.cpp.o src/Matrix.cpp
build/.objs/Pivot/macosx/x86_64/release/src/main.cpp.o: src/main.cpp
@echo compiling.release src/main.cpp
@mkdir -p build/.objs/Pivot/macosx/x86_64/release/src
$(VV)$(Pivot_CXX) -c $(Pivot_CXXFLAGS) -o build/.objs/Pivot/macosx/x86_64/release/src/main.cpp.o src/main.cpp
clean: clean_Pivot
clean_Pivot:
@rm -rf build/macosx/x86_64/release/Pivot
@rm -rf build/macosx/x86_64/release/Pivot.dSYM
@rm -rf build/.objs/Pivot/macosx/x86_64/release/src/NR.cpp.o
@rm -rf build/.objs/Pivot/macosx/x86_64/release/src/Matrix.cpp.o
@rm -rf build/.objs/Pivot/macosx/x86_64/release/src/main.cpp.o

159
src/NR.cpp Normal file
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#include "NR.h"
#include <iostream>
int PGCD(int x, int y) {
if(x==0 || y==0)
return 1;
else if(x%y == 0)
return abs(y);
else
return PGCD(y, x%y);
}
NR::NR(int numerator, int denominator) {
NRset(numerator, denominator);
}
void NR::NRset(int numerator, int denominator) {
if(denominator > 0)
m_Numerator = numerator;
else
m_Numerator = (-1)*numerator;
if(denominator == 0) {
std::cout<<"Essaie de créer une fraction avec un dénominateur = 0, impossible"<<std::endl;
exit(EXIT_FAILURE);
}
else
m_Denominator = abs(denominator);
}
void NR::reduceNR() {
int divisor = PGCD(m_Denominator, m_Numerator);
m_Denominator /= divisor;
m_Numerator /= divisor;
}
void NR::invertNR() {
NRset(m_Denominator, m_Numerator);
}
int NR::NRgetNum() const {
return m_Numerator;
}
int NR::NRgetDen() const {
return m_Denominator;
}
NR& NR::operator =(const NR& opNR) {
NRset(opNR.NRgetNum(),opNR.NRgetDen());
return *this;
}
bool NR::operator ==(const NR& opNR) const {
return (m_Numerator * opNR.NRgetDen() == m_Denominator * opNR.NRgetNum());
}
bool NR::operator <(const NR& opNR) const {
return (m_Numerator * opNR.NRgetDen() < m_Denominator * opNR.NRgetNum());
}
bool NR::operator >(const NR& opNR) const {
return (m_Numerator * opNR.NRgetDen() > m_Denominator * opNR.NRgetNum());
}
bool NR::operator !=(const NR& opNR) const {
return (not (*this == opNR));
}
bool NR::operator <=(const NR& opNR) const {
return (not (*this > opNR));
}
bool NR::operator >=(const NR& opNR) const {
return (not (*this < opNR));
}
std::ostream& operator <<(std::ostream& os, const NR& opNR) {
os<<opNR.NRgetNum()<<"/"<<opNR.NRgetDen();
return os;
}
std::istream& operator >>(std::istream& is, NR& opNR) {
int num, den;
std::cout<<"Numerator: ";
is>>num;
std::cout<<"Denominator: ";
is>>den;
opNR.NRset(num, den);
return is;
}
NR NR::operator +(const NR& opNR) const {
int num, den;
num = m_Numerator * opNR.NRgetDen();
den = m_Denominator * opNR.NRgetDen();
num += (opNR.NRgetNum() * m_Denominator);
NR result(num, den);
return result;
}
NR NR::operator -(const NR& opNR) const {
int num, den;
num = m_Numerator * opNR.NRgetDen();
den = m_Denominator * opNR.NRgetDen();
num -= (opNR.NRgetNum() * m_Denominator);
NR result(num, den);
return result;
}
NR NR::operator *(const NR& opNR) const {
int num, den;
num = m_Numerator * opNR.NRgetNum();
den = m_Denominator * opNR.NRgetDen();
NR result(num, den);
return result;
}
NR NR::operator /(const NR& opNR) const {
int num, den;
num = m_Numerator * opNR.NRgetDen();
den = m_Denominator * opNR.NRgetNum();
NR result(num, den);
return result;
}
void NR::test() {
NR* frac = new NR;
NR frac2(3);
NR frac3(2,5);
int a, b;
std::cout<<"PGCD : entrez deux entiers"<<std::endl;
std::cin>>a>>b;
std::cout<<PGCD(a,b)<<std::endl;
std::cout<<"frac : entrez deux entiers"<<std::endl;
std::cin>>a>>b;
NR fractest(a, b);
std::cout<<fractest<<" + "<<frac3<<" = "<<std::endl;
std::cout<<">> "<<(fractest + frac3)<<std::endl;
std::cout<<">> "<<(fractest + frac3).NRgetNum()<<"/"<<(fractest + frac3).NRgetDen()<<std::endl;
fractest = fractest + frac3;
std::cout<<">> "<<fractest<<std::endl;
frac->NRset(2, 4);
NR anotherfrac;
std::cin>>anotherfrac;
std::cout<<"Compare "<<fractest<<" and "<<anotherfrac<<" : ==? "<<(fractest == anotherfrac)<<" <? "<<(fractest < anotherfrac)<<" >=? "<<(fractest >= anotherfrac)<< std::endl;
std::cout<<anotherfrac<<" - "<<*frac<<" = "<<anotherfrac - *frac<<std::endl;
std::cout<<anotherfrac<<" * "<<*frac<<" = "<<std::endl<<">> "<<anotherfrac * *frac<<std::endl;
fractest = anotherfrac * *frac;
std::cout<<">> "<<fractest<<std::endl;
fractest.reduceNR();
std::cout<<">> "<<fractest<<std::endl;
std::cout<<anotherfrac<<" / "<<frac2<<" = "<<anotherfrac / frac2<<std::endl;
NR numNR(2,4);
NR otherNR(3,1);
std::cout<<numNR<<" - "<<otherNR<<" = "<<std::endl;
NR subNR = numNR - otherNR;
std::cout<<">> "<<(numNR - otherNR)<<std::endl<<">> "<<subNR<<std::endl;
delete frac;
}

36
src/NR.h
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@@ -1,12 +1,42 @@
#pragma once
#include <iostream>
class NR {
private:
int m_Numerator;
int m_Denominator;
int m_Denominator; //has to be > 0, sign is carried by the numerator
public:
NR() : m_Numerator(0), m_Denominator(1) {}
NR(int entier) : m_Numerator(entier), m_Denominator(1) {}
NR(int numerator, int denominator) : m_Numerator(numerator), m_Denominator(denominator) {}
};
NR(int numerator, int denominator); //check if denominator != 0
void NRset(int numerator, int denominator); //same
void reduceNR(); //divide by PGCD, not automatically called yet
void invertNR();
int NRgetNum() const;
int NRgetDen() const;
NR& operator =(const NR& opNR);
bool operator ==(const NR& opNR) const;
bool operator <(const NR& opNR) const;
bool operator >(const NR& opNR) const;
bool operator !=(const NR& opNR) const;
bool operator <=(const NR& opNR) const;
bool operator >=(const NR& opNR) const;
friend std::ostream& operator <<(std::ostream& os, const NR& opNR);
friend std::istream& operator >>(std::istream& os, NR& opNR);
NR operator +(const NR& opNR) const;
NR operator -(const NR& opNR) const;
NR operator *(const NR& opNR) const;
NR operator /(const NR& opNR) const;
static void test();
};
int PGCD(int x, int y);

6
src/main.cpp
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@@ -1,4 +1,5 @@
#include "Matrix.h"
#include "NR.h"
#include <iostream>
void test() {
@@ -38,7 +39,8 @@ void prompt() {
}
int main(int argc, char** argv) {
test();
prompt();
//test();
//prompt();
NR::test();
return 0;
}