1
//#define CATCH_CONFIG_RUNNER  // This tells Catch to provide a main() - only do this in one cpp file
2
#include <iostream>
3
#include <string>
4
#include <vector>
5
#include <cmath>
6
#include <map>
7
#include <algorithm>
8
//#include "catch.hpp"
9
#include <ratio>
10
#include <tuple>
11
//using namespace std;
12

13

14
float a,b,c;
15
int indikator;
16

17
float linsolve( float b, float c )
18
{
19
 return -c/b;
20

21
}
22

23
/*
24
 TEST_CASE( "Wird die Lineare Gleichung korrekt gelöst?") {
25
    double b=-2,c=3;
26

27
    REQUIRE( linsolve(1,0) == 0 );
28
    REQUIRE( linsolve(1,1) == -1 );
29
    REQUIRE( linsolve(-2,3) == -c/b);
30

31
  }
32
*/
33

34

35
int Typ( float a, float b , float c)
36
{
37
   if ((a==0)&&(b==0)&&(c==0)) indikator=1; // Fall unendlich viele Lösungen
38
   else if ((a==0)&&(b==0)&&(c!=0))   indikator=2;  // Fall keine Lösung
39
   else if (((a==0)&&(b!=0)&&(c==0))||((a==0)&&(b!=0)&&(c!=0))) indikator=3; // Fall Lineare Gleichung
40
   else indikator=4; // Fall quadratische Gleichung  
41
   return indikator;
42

43
}
44

45
/*
46
 TEST_CASE( "Prüfe die Fallunterscheidungen") {
47
    REQUIRE( Typ(0,0,0) == 1 );
48
    REQUIRE( Typ(0,0,1) == 2 );
49
    REQUIRE( Typ(0,1,0) == 3 );
50
    REQUIRE( Typ(0,1,1) == 3 );
51
    REQUIRE( Typ(1,1,1) == 4 );
52

53
  }
54
*/
55

56
std::vector<float> diskriminante (float a, float b, float c)
57
{
58
  float d=std::pow(b,2)-4*a*c;
59
  if (d<0) return {0,d};
60
  else if (d==0) return {1,d};
61
  else if (d>0) return{2,d};
62
}
63

64
/*
65
 TEST_CASE( "Prüfe die Diskriminate") {
66
    std::vector<double> test1 {1,std::pow(-2,2)-4*1*1};
67
    REQUIRE(  diskriminante(1,-2,1)== std::vector<double> {1,std::pow(-2,2)-4*1*1});
68

69
  }
70
*/
71

72
int main()
73
{
74
 std::cin >>  a >>  b >>  c;
75
 //std::cout << " a ist= " << b << " b ist= " << b << " c ist= " << c << "\n";
76
 indikator=Typ(a,b,c);
77
 //std::cout << indikator << "\n";
78

79
  if (indikator==1) {} //std::cout << // " unendlich viele Lösung";
80
  else if (indikator==2) {} //std::cout << // " es gibt keine Lösung";
81
  else if (indikator ==3) std::cout << linsolve(b,c);
82
  else if (indikator ==4)
83
     {
84
      std::vector<float> d=  diskriminante ( a, b, c);
85
      //for (auto i:d)
86
      //  std::cout << i << "\n";
87
      // if (d[0]<0) {} ;
88
      if (d[0]==1) std::cout << -b/(2*a);
89
      else if (d[0]==2) std::cout << (-b+sqrt(d[1]))/(2*a) << " "<< (-b-sqrt(d[1]))/(2*a);
90

91
      }
92

93

94

95

96

97
  //std::cout << " Fall " << Typ(a,b,c) << "\n";
98

99

100

101

102

103

104
  //int result = Catch::Session().run();
105
  //return result;
106

107
  }
108

109

110