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| 1 | program Lista01_Q09 | |
| 2 | ||
| 3 | implicit none | |
| 4 | ||
| 5 | integer, parameter :: prec9 = selected_real_kind(p=9) | |
| 6 | real (kind=prec9) :: root, bissecMethod, falsaPosMethod, a, b | |
| 7 | ||
| 8 | print *, 'Entre com o inicio e fim do intervalo' | |
| 9 | read *, a, b | |
| 10 | ||
| 11 | root = bissecMethod(a, b) | |
| 12 | ||
| 13 | print *, 'Com o metodo da bisseccao', root | |
| 14 | ||
| 15 | root = falsaPosMethod(a, b) | |
| 16 | ||
| 17 | print *, 'Com o metodo da falsa posicao', root | |
| 18 | ||
| 19 | end program | |
| 20 | ||
| 21 | function f(x) | |
| 22 | implicit none | |
| 23 | ||
| 24 | integer, parameter :: prec9 = selected_real_kind(p=9) | |
| 25 | real (kind = prec9) :: f, x | |
| 26 | ||
| 27 | f = cos(x) + 1 - x | |
| 28 | end function f | |
| 29 | ||
| 30 | function bissecMethod(a, b) | |
| 31 | implicit none | |
| 32 | ||
| 33 | integer, parameter :: prec9 = selected_real_kind(p=9) | |
| 34 | real (kind = prec9) :: intervalIni, intervalEnd, c, fcVal, f, bissecMethod, a, b | |
| 35 | integer :: i | |
| 36 | ||
| 37 | intervalIni = a | |
| 38 | intervalEnd = b | |
| 39 | ||
| 40 | do i = 1, 100 | |
| 41 | c = (intervalIni + intervalEnd) / 2 | |
| 42 | ||
| 43 | fcVal = f(c) | |
| 44 | ||
| 45 | if(abs(fcVal) < 0.00000001) then | |
| 46 | exit | |
| 47 | end if | |
| 48 | ||
| 49 | if(f(a) < 0.0) then | |
| 50 | if(fcVal < 0.0) then | |
| 51 | intervalIni = c | |
| 52 | else | |
| 53 | intervalEnd = c | |
| 54 | end if | |
| 55 | else | |
| 56 | if(fcVal < 0) then | |
| 57 | intervalEnd = c | |
| 58 | else | |
| 59 | intervalIni = c | |
| 60 | end if | |
| 61 | end if | |
| 62 | end do | |
| 63 | ||
| 64 | bissecMethod = c | |
| 65 | end function bissecMethod | |
| 66 | ||
| 67 | function falsaPosMethod(a, b) | |
| 68 | implicit none | |
| 69 | ||
| 70 | integer, parameter :: prec9 = selected_real_kind(p=9) | |
| 71 | real (kind = prec9) :: intervalIni, intervalEnd, c, fcVal, faVal, fbVal, f, falsaPosMethod, a, b | |
| 72 | integer :: i | |
| 73 | ||
| 74 | intervalIni = a | |
| 75 | intervalEnd = b | |
| 76 | ||
| 77 | do i = 1, 100 | |
| 78 | faVal = f(intervalIni) | |
| 79 | fbVal = f(intervalEnd) | |
| 80 | ||
| 81 | c = intervalEnd - fbVal * (intervalEnd - intervalIni) / (fbVal - faVal) | |
| 82 | ||
| 83 | fcVal = f(c) | |
| 84 | ||
| 85 | if(abs(fcVal) < 0.00000001) then | |
| 86 | exit | |
| 87 | end if | |
| 88 | ||
| 89 | if(f(a) < 0.0) then | |
| 90 | if(fcVal < 0.0) then | |
| 91 | intervalIni = c | |
| 92 | else | |
| 93 | intervalEnd = c | |
| 94 | end if | |
| 95 | else | |
| 96 | if(fcVal < 0) then | |
| 97 | intervalEnd = c | |
| 98 | else | |
| 99 | intervalIni = c | |
| 100 | end if | |
| 101 | end if | |
| 102 | end do | |
| 103 | ||
| 104 | falsaPosMethod = c | |
| 105 | end function falsaPosMethod |
