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  1. #1
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    Question regarding sumation of floating point numbers

    Hi there,
    I have a question about coding with single precision floating point numbers (i.e, float)...how can I sum a certain number of floating pt #s within an interval...let's say I want to add a 100 numbers, starting from 1 within the interval [1,2) ?

    Anybody knows how can this be done?

    Any info would be greatly appreciated!

  • #2
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    So you essentially want 1 + .01 + .02 + .03 + .. + .99? or up to + 1.99? Sounds like whatever you're trying to do it needs a for loop. I thought of something like this (included output). The while loop may not be necessary. Hope this helps you. Done in C++ by the way.

    Code:
    float i;
    float j;
    float total = 1.0;
    
    j = total;
    while (j <= 2)
          {
          for (i = 0.0; i < 100; i++)
              {
              cout << "i is: " << i << endl;
              cout << "total is " << total << endl
                   << "added to i/100 is " << i/100 << endl;
              total = total + i/100;
              }
          cout << total << endl;
          j = total;
          }
    Code:
    total is 1.00
    added to i/100 is 0.01
    i is: 2.00
    total is 1.01
    added to i/100 is 0.02
    i is: 3.00
    total is 1.03
    added to i/100 is 0.03
    i is: 4.00
    total is 1.06
    added to i/100 is 0.04
    i is: 5.00
    total is 1.10
    added to i/100 is 0.05
    i is: 6.00
    total is 1.15
    added to i/100 is 0.06
    i is: 7.00
    total is 1.21
    added to i/100 is 0.07
    i is: 8.00
    total is 1.28
    added to i/100 is 0.08
    i is: 9.00
    total is 1.36
    added to i/100 is 0.09
    i is: 10.00
    total is 1.45
    added to i/100 is 0.10
    i is: 11.00
    total is 1.55
    added to i/100 is 0.11
    i is: 12.00
    total is 1.66
    added to i/100 is 0.12
    i is: 13.00
    total is 1.78
    added to i/100 is 0.13
    i is: 14.00
    total is 1.91
    added to i/100 is 0.14
    i is: 15.00
    total is 2.05
    added to i/100 is 0.15
    i is: 16.00
    total is 2.20
    added to i/100 is 0.16
    i is: 17.00
    total is 2.36
    added to i/100 is 0.17
    i is: 18.00
    total is 2.53
    added to i/100 is 0.18
    i is: 19.00
    total is 2.71
    added to i/100 is 0.19
    i is: 20.00
    total is 2.90
    added to i/100 is 0.20
    i is: 21.00
    total is 3.10
    added to i/100 is 0.21
    i is: 22.00
    total is 3.31
    added to i/100 is 0.22
    i is: 23.00
    total is 3.53
    added to i/100 is 0.23
    i is: 24.00
    total is 3.76
    added to i/100 is 0.24
    i is: 25.00
    total is 4.00
    added to i/100 is 0.25
    i is: 26.00
    total is 4.25
    added to i/100 is 0.26
    i is: 27.00
    total is 4.51
    added to i/100 is 0.27
    i is: 28.00
    total is 4.78
    added to i/100 is 0.28
    i is: 29.00
    total is 5.06
    added to i/100 is 0.29
    i is: 30.00
    total is 5.35
    added to i/100 is 0.30
    i is: 31.00
    total is 5.65
    added to i/100 is 0.31
    i is: 32.00
    total is 5.96
    added to i/100 is 0.32
    i is: 33.00
    total is 6.28
    added to i/100 is 0.33
    i is: 34.00
    total is 6.61
    added to i/100 is 0.34
    i is: 35.00
    total is 6.95
    added to i/100 is 0.35
    i is: 36.00
    total is 7.30
    added to i/100 is 0.36
    i is: 37.00
    total is 7.66
    added to i/100 is 0.37
    i is: 38.00
    total is 8.03
    added to i/100 is 0.38
    i is: 39.00
    total is 8.41
    added to i/100 is 0.39
    i is: 40.00
    total is 8.80
    added to i/100 is 0.40
    i is: 41.00
    total is 9.20
    added to i/100 is 0.41
    i is: 42.00
    total is 9.61
    added to i/100 is 0.42
    i is: 43.00
    total is 10.03
    added to i/100 is 0.43
    i is: 44.00
    total is 10.46
    added to i/100 is 0.44
    i is: 45.00
    total is 10.90
    added to i/100 is 0.45
    i is: 46.00
    total is 11.35
    added to i/100 is 0.46
    i is: 47.00
    total is 11.81
    added to i/100 is 0.47
    i is: 48.00
    total is 12.28
    added to i/100 is 0.48
    i is: 49.00
    total is 12.76
    added to i/100 is 0.49
    i is: 50.00
    total is 13.25
    added to i/100 is 0.50
    i is: 51.00
    total is 13.75
    added to i/100 is 0.51
    i is: 52.00
    total is 14.26
    added to i/100 is 0.52
    i is: 53.00
    total is 14.78
    added to i/100 is 0.53
    i is: 54.00
    total is 15.31
    added to i/100 is 0.54
    i is: 55.00
    total is 15.85
    added to i/100 is 0.55
    i is: 56.00
    total is 16.40
    added to i/100 is 0.56
    i is: 57.00
    total is 16.96
    added to i/100 is 0.57
    i is: 58.00
    total is 17.53
    added to i/100 is 0.58
    i is: 59.00
    total is 18.11
    added to i/100 is 0.59
    i is: 60.00
    total is 18.70
    added to i/100 is 0.60
    i is: 61.00
    total is 19.30
    added to i/100 is 0.61
    i is: 62.00
    total is 19.91
    added to i/100 is 0.62
    i is: 63.00
    total is 20.53
    added to i/100 is 0.63
    i is: 64.00
    total is 21.16
    added to i/100 is 0.64
    i is: 65.00
    total is 21.80
    added to i/100 is 0.65
    i is: 66.00
    total is 22.45
    added to i/100 is 0.66
    i is: 67.00
    total is 23.11
    added to i/100 is 0.67
    i is: 68.00
    total is 23.78
    added to i/100 is 0.68
    i is: 69.00
    total is 24.46
    added to i/100 is 0.69
    i is: 70.00
    total is 25.15
    added to i/100 is 0.70
    i is: 71.00
    total is 25.85
    added to i/100 is 0.71
    i is: 72.00
    total is 26.56
    added to i/100 is 0.72
    i is: 73.00
    total is 27.28
    added to i/100 is 0.73
    i is: 74.00
    total is 28.01
    added to i/100 is 0.74
    i is: 75.00
    total is 28.75
    added to i/100 is 0.75
    i is: 76.00
    total is 29.50
    added to i/100 is 0.76
    i is: 77.00
    total is 30.26
    added to i/100 is 0.77
    i is: 78.00
    total is 31.03
    added to i/100 is 0.78
    i is: 79.00
    total is 31.81
    added to i/100 is 0.79
    i is: 80.00
    total is 32.60
    added to i/100 is 0.80
    i is: 81.00
    total is 33.40
    added to i/100 is 0.81
    i is: 82.00
    total is 34.21
    added to i/100 is 0.82
    i is: 83.00
    total is 35.03
    added to i/100 is 0.83
    i is: 84.00
    total is 35.86
    added to i/100 is 0.84
    i is: 85.00
    total is 36.70
    added to i/100 is 0.85
    i is: 86.00
    total is 37.55
    added to i/100 is 0.86
    i is: 87.00
    total is 38.41
    added to i/100 is 0.87
    i is: 88.00
    total is 39.28
    added to i/100 is 0.88
    i is: 89.00
    total is 40.16
    added to i/100 is 0.89
    i is: 90.00
    total is 41.05
    added to i/100 is 0.90
    i is: 91.00
    total is 41.95
    added to i/100 is 0.91
    i is: 92.00
    total is 42.86
    added to i/100 is 0.92
    i is: 93.00
    total is 43.78
    added to i/100 is 0.93
    i is: 94.00
    total is 44.71
    added to i/100 is 0.94
    i is: 95.00
    total is 45.65
    added to i/100 is 0.95
    i is: 96.00
    total is 46.60
    added to i/100 is 0.96
    i is: 97.00
    total is 47.56
    added to i/100 is 0.97
    i is: 98.00
    total is 48.53
    added to i/100 is 0.98
    i is: 99.00
    total is 49.51
    added to i/100 is 0.99
    final total 50.50


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