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inverse sinus, floats

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  • CPalliniC CPallini

    The documentation of asin should be just enoough:

    '(it) Computes the principal value of the arc sine of arg'

    That is you get the first quadrant angle correnspondig to the sin value passed as argument. The following program

    #include #include using namespace std;

    int main()
    {
    const size_t N = 18;
    const double delta = M_PI/N;

    for ( double phi = 0; phi < 2*M_PI; phi += delta)
    {
    double s = sin(phi);
    double a = asin(s);
    cout << "phi = " << phi << ", sin(phi) = " << s << ", asin(sin(phi)) = " << a << "\n";
    }
    cout << endl;
    }

    outputs

    phi = 0, sin(phi) = 0, asin(sin(phi)) = 0
    phi = 0.174533, sin(phi) = 0.173648, asin(sin(phi)) = 0.174533
    phi = 0.349066, sin(phi) = 0.34202, asin(sin(phi)) = 0.349066
    phi = 0.523599, sin(phi) = 0.5, asin(sin(phi)) = 0.523599
    phi = 0.698132, sin(phi) = 0.642788, asin(sin(phi)) = 0.698132
    phi = 0.872665, sin(phi) = 0.766044, asin(sin(phi)) = 0.872665
    phi = 1.0472, sin(phi) = 0.866025, asin(sin(phi)) = 1.0472
    phi = 1.22173, sin(phi) = 0.939693, asin(sin(phi)) = 1.22173
    phi = 1.39626, sin(phi) = 0.984808, asin(sin(phi)) = 1.39626
    phi = 1.5708, sin(phi) = 1, asin(sin(phi)) = 1.5708
    phi = 1.74533, sin(phi) = 0.984808, asin(sin(phi)) = 1.39626
    phi = 1.91986, sin(phi) = 0.939693, asin(sin(phi)) = 1.22173
    phi = 2.0944, sin(phi) = 0.866025, asin(sin(phi)) = 1.0472
    phi = 2.26893, sin(phi) = 0.766044, asin(sin(phi)) = 0.872665
    phi = 2.44346, sin(phi) = 0.642788, asin(sin(phi)) = 0.698132
    phi = 2.61799, sin(phi) = 0.5, asin(sin(phi)) = 0.523599
    phi = 2.79253, sin(phi) = 0.34202, asin(sin(phi)) = 0.349066
    phi = 2.96706, sin(phi) = 0.173648, asin(sin(phi)) = 0.174533
    phi = 3.14159, sin(phi) = 1.45473e-15, asin(sin(phi)) = 1.45473e-15
    phi = 3.31613, sin(phi) = -0.173648, asin(sin(phi)) = -0.174533
    phi = 3.49066, sin(phi) = -0.34202, asin(sin(phi)) = -0.349066
    phi = 3.66519, sin(phi) = -0.5, asin(sin(phi)) = -0.523599
    phi = 3.83972, sin(phi) = -0.642788, asin(sin(phi)) = -0.698132
    phi = 4.01426, sin(phi) = -0.766044, asin(sin(phi)) = -0.872665
    phi = 4.18879, sin(phi) = -0.866025, asin(sin(phi)) = -1.0472
    phi = 4.36332, sin(phi) = -0.939693, asin(sin(phi)) = -1.22173
    phi = 4.53786, sin(phi) = -0.984808, asin(sin(phi)) = -1.39626
    phi = 4.71239, sin(phi) = -1, asin(sin(phi)) = -1.5708
    phi = 4.88692, sin(phi) = -0.984808, asin(sin(phi)) = -1.39626
    phi = 5.06145, sin(phi) = -0.939693, asin(sin(phi)) = -1.22173
    phi = 5

    C Offline
    C Offline
    Calin Negru
    wrote on last edited by
    #5

    I`m doing something wrong. In a right triangle the hypotenuse length is 80.62 the triangle side length opposing the angle is 40. The windows calculator result for inverse sin 40/80.6225 is 29.74 When I do the math with asinf() I`m getting 0.519

    CPalliniC V 2 Replies Last reply
    0
    • C Calin Negru

      I`m doing something wrong. In a right triangle the hypotenuse length is 80.62 the triangle side length opposing the angle is 40. The windows calculator result for inverse sin 40/80.6225 is 29.74 When I do the math with asinf() I`m getting 0.519

      CPalliniC Offline
      CPalliniC Offline
      CPallini
      wrote on last edited by
      #6

      Post your code, then. The following program

      #include
      #include
      using namespace std;

      int main()
      {
      double angle = asin( 40/80.6225 );
      cout << "angle " << angle << " (" << (angle * 180 / M_PI) << " degrees)" << endl;
      }

      Outputs

      angle 0.519147 (29.7449 degrees)

      In testa che avete, signor di Ceprano?

      C 1 Reply Last reply
      0
      • CPalliniC CPallini

        Post your code, then. The following program

        #include
        #include
        using namespace std;

        int main()
        {
        double angle = asin( 40/80.6225 );
        cout << "angle " << angle << " (" << (angle * 180 / M_PI) << " degrees)" << endl;
        }

        Outputs

        angle 0.519147 (29.7449 degrees)

        C Offline
        C Offline
        Calin Negru
        wrote on last edited by
        #7

        after conversion the result is as it should be , thanks

        CPalliniC 1 Reply Last reply
        0
        • C Calin Negru

          I`m doing something wrong. In a right triangle the hypotenuse length is 80.62 the triangle side length opposing the angle is 40. The windows calculator result for inverse sin 40/80.6225 is 29.74 When I do the math with asinf() I`m getting 0.519

          V Offline
          V Offline
          Victor Nijegorodov
          wrote on last edited by
          #8

          You probably mix degrees with radians.

          C 1 Reply Last reply
          0
          • V Victor Nijegorodov

            You probably mix degrees with radians.

            C Offline
            C Offline
            Calin Negru
            wrote on last edited by
            #9

            Math is tricky

            1 Reply Last reply
            0
            • C Calin Negru

              after conversion the result is as it should be , thanks

              CPalliniC Offline
              CPalliniC Offline
              CPallini
              wrote on last edited by
              #10

              You are welcome.

              In testa che avete, signor di Ceprano?

              1 Reply Last reply
              0
              • CPalliniC CPallini

                The documentation of asin should be just enoough:

                '(it) Computes the principal value of the arc sine of arg'

                That is you get the first quadrant angle correnspondig to the sin value passed as argument. The following program

                #include #include using namespace std;

                int main()
                {
                const size_t N = 18;
                const double delta = M_PI/N;

                for ( double phi = 0; phi < 2*M_PI; phi += delta)
                {
                double s = sin(phi);
                double a = asin(s);
                cout << "phi = " << phi << ", sin(phi) = " << s << ", asin(sin(phi)) = " << a << "\n";
                }
                cout << endl;
                }

                outputs

                phi = 0, sin(phi) = 0, asin(sin(phi)) = 0
                phi = 0.174533, sin(phi) = 0.173648, asin(sin(phi)) = 0.174533
                phi = 0.349066, sin(phi) = 0.34202, asin(sin(phi)) = 0.349066
                phi = 0.523599, sin(phi) = 0.5, asin(sin(phi)) = 0.523599
                phi = 0.698132, sin(phi) = 0.642788, asin(sin(phi)) = 0.698132
                phi = 0.872665, sin(phi) = 0.766044, asin(sin(phi)) = 0.872665
                phi = 1.0472, sin(phi) = 0.866025, asin(sin(phi)) = 1.0472
                phi = 1.22173, sin(phi) = 0.939693, asin(sin(phi)) = 1.22173
                phi = 1.39626, sin(phi) = 0.984808, asin(sin(phi)) = 1.39626
                phi = 1.5708, sin(phi) = 1, asin(sin(phi)) = 1.5708
                phi = 1.74533, sin(phi) = 0.984808, asin(sin(phi)) = 1.39626
                phi = 1.91986, sin(phi) = 0.939693, asin(sin(phi)) = 1.22173
                phi = 2.0944, sin(phi) = 0.866025, asin(sin(phi)) = 1.0472
                phi = 2.26893, sin(phi) = 0.766044, asin(sin(phi)) = 0.872665
                phi = 2.44346, sin(phi) = 0.642788, asin(sin(phi)) = 0.698132
                phi = 2.61799, sin(phi) = 0.5, asin(sin(phi)) = 0.523599
                phi = 2.79253, sin(phi) = 0.34202, asin(sin(phi)) = 0.349066
                phi = 2.96706, sin(phi) = 0.173648, asin(sin(phi)) = 0.174533
                phi = 3.14159, sin(phi) = 1.45473e-15, asin(sin(phi)) = 1.45473e-15
                phi = 3.31613, sin(phi) = -0.173648, asin(sin(phi)) = -0.174533
                phi = 3.49066, sin(phi) = -0.34202, asin(sin(phi)) = -0.349066
                phi = 3.66519, sin(phi) = -0.5, asin(sin(phi)) = -0.523599
                phi = 3.83972, sin(phi) = -0.642788, asin(sin(phi)) = -0.698132
                phi = 4.01426, sin(phi) = -0.766044, asin(sin(phi)) = -0.872665
                phi = 4.18879, sin(phi) = -0.866025, asin(sin(phi)) = -1.0472
                phi = 4.36332, sin(phi) = -0.939693, asin(sin(phi)) = -1.22173
                phi = 4.53786, sin(phi) = -0.984808, asin(sin(phi)) = -1.39626
                phi = 4.71239, sin(phi) = -1, asin(sin(phi)) = -1.5708
                phi = 4.88692, sin(phi) = -0.984808, asin(sin(phi)) = -1.39626
                phi = 5.06145, sin(phi) = -0.939693, asin(sin(phi)) = -1.22173
                phi = 5

                C Offline
                C Offline
                Calin Negru
                wrote on last edited by
                #11

                I`m working on several things at the same time. Don`t go wandering if I`m active simultaneously in two threads.

                Quote:

                That is you get the first quadrant angle correnspondig to the sin value passed as argument.

                What`s the formula when you want work with remaining quadrants? This formula doesn`t work always.

                CPalliniC 1 Reply Last reply
                0
                • C Calin Negru

                  I`m working on several things at the same time. Don`t go wandering if I`m active simultaneously in two threads.

                  Quote:

                  That is you get the first quadrant angle correnspondig to the sin value passed as argument.

                  What`s the formula when you want work with remaining quadrants? This formula doesn`t work always.

                  CPalliniC Offline
                  CPalliniC Offline
                  CPallini
                  wrote on last edited by
                  #12

                  You have to use the atan2[^] function.

                  In testa che avete, signor di Ceprano?

                  C 1 Reply Last reply
                  0
                  • CPalliniC CPallini

                    You have to use the atan2[^] function.

                    C Offline
                    C Offline
                    Calin Negru
                    wrote on last edited by
                    #13

                    Thanks CPallini

                    CPalliniC 1 Reply Last reply
                    0
                    • C Calin Negru

                      Thanks CPallini

                      CPalliniC Offline
                      CPalliniC Offline
                      CPallini
                      wrote on last edited by
                      #14

                      You are welcome.

                      In testa che avete, signor di Ceprano?

                      1 Reply Last reply
                      0
                      • C Calin Negru

                        I have a tough time finding the inverse sinus math function in c++. There is asinf() but I`m not sure about what it does. [fixed] Displaying a float in StringCchPrintfA

                        C Offline
                        C Offline
                        Calin Negru
                        wrote on last edited by
                        #15

                        I have my object rotation algorithm working though it will only rotate 180 degrees atm. It`s an algorithm that handles object rotations without matrices.

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