Графики и заштрихованная область
Неравенство для заштрихованной области
Для Фортрана:
l=(x<=0 .and. y>=0 .and. y>=-(x**3.)) .or. (y<=-(x**3.) .and. y<=x)
Математическая запись:
x≤0
y≥0
y≥-x3
y≤-x3
y≤x
Формула для Σ
Для Фортрана:
sigma=sin(log(x+2./(y-x)))-cos(pi/y)-cos(pi*log(x+5./(3*y)))+y/(5.2*(10**(-3.)))
Математическая запись:
Σ=sin[ln(x+2/(y-x))]-cos(π/y)-cos[π▪ln(x+5/(3▪y))]+y/(5,2▪10-3)
Область допустимых значений для x
x+2/(y-x)>0
x+5/(3▪y)>0
x≠y
Таблица координат точек заштрихованной области и значений Σ (файл tabl.txt)
x= -7.500000E-01 y= 5.000000E-01 sigma= 95.979270
x= -7.500000E-01 y= 7.500000E-01 sigma= 143.869200
x= -7.500000E-01 y= 1.000000 sigma= 191.540600
x= -7.500000E-01 y= 1.250000 sigma= 240.332800
x= -7.500000E-01 y= 1.500000 sigma= 289.040100
x= -7.500000E-01 y= 1.750000 sigma= 336.313800
x= -5.000000E-01 y= 2.500000E-01 sigma= 46.932440
x= -5.000000E-01 y= 5.000000E-01 sigma= 96.539830
x= -5.000000E-01 y= 7.500000E-01 sigma= 144.962500
x= -5.000000E-01 y= 1.000000 sigma= 192.241400
x= -5.000000E-01 y= 1.250000 sigma= 239.925600
x= -5.000000E-01 y= 1.500000 sigma= 288.299000
x= -5.000000E-01 y= 1.750000 sigma= 336.747100
x= -5.000000E-01 y= 2.000000 sigma= 384.634300
x= -5.000000E-01 y= 2.250000 sigma= 431.759000
x= -5.000000E-01 y= 2.500000 sigma= 478.691000
x= -5.000000E-01 y= 2.750000 sigma= 526.878200
x= -5.000000E-01 y= 3.000000 sigma= 576.882700
x= -5.000000E-01 y= 3.250000 sigma= 624.253500
x= -2.500000E-01 y= 2.500000E-01 sigma= 47.142720
x= -2.500000E-01 y= 5.000000E-01 sigma= 96.848760
x= -2.500000E-01 y= 7.500000E-01 sigma= 145.795200
x= -2.500000E-01 y= 1.000000 sigma= 193.144600
x= -2.500000E-01 y= 1.250000 sigma= 240.305000
x= -2.500000E-01 y= 1.500000 sigma= 287.956800
x= -2.500000E-01 y= 1.750000 sigma= 336.032500
x= -2.500000E-01 y= 2.000000 sigma= 384.304400
x= -2.500000E-01 y= 2.250000 sigma= 432.573300
x= -2.500000E-01 y= 2.500000 sigma= 480.710600
x= -2.500000E-01 y= 2.750000 sigma= 528.657700
x= -2.500000E-01 y= 3.000000 sigma= 576.412700
x= -2.500000E-01 y= 3.250000 sigma= 624.017300
x= -2.500000E-01 y= 3.500000 sigma= 671.543800
x= -2.500000E-01 y= 3.750000 sigma= 719.082700
x= -2.500000E-01 y= 4.000000 sigma= 766.731900
x= -2.500000E-01 y= 4.250000 sigma= 814.582800
x= -2.500000E-01 y= 4.500000 sigma= 862.704500
x= -2.500000E-01 y= 4.750000 sigma= 911.121900
x= -2.500000E-01 y= 5.000000 sigma= 959.786900
x= -2.500000E-01 y= 5.250000 sigma= 1008.544000
x= -2.500000E-01 y= 5.500000 sigma= 1057.102000
x= -2.500000E-01 y= 5.750000 sigma= 1105.070000
x= -2.500000E-01 y= 6.000000 sigma= 1152.257000
x= -2.500000E-01 y= 6.250000 sigma= 1199.805000
x= -2.500000E-01 y= 6.500000 sigma= 1250.033000
x= 0.000000E+00 y= 2.500000E-01 sigma= 47.002110
x= 0.000000E+00 y= 5.000000E-01 sigma= 96.938490
x= 0.000000E+00 y= 7.500000E-01 sigma= 146.368000
x= 0.000000E+00 y= 1.000000 sigma= 193.980700
x= 0.000000E+00 y= 1.250000 sigma= 241.027900
x= 0.000000E+00 y= 1.500000 sigma= 288.299600
x= 0.000000E+00 y= 1.750000 sigma= 335.905900
x= 0.000000E+00 y= 2.000000 sigma= 383.775000
x= 0.000000E+00 y= 2.250000 sigma= 431.813600
x= 0.000000E+00 y= 2.500000 sigma= 479.946300
x= 0.000000E+00 y= 2.750000 sigma= 528.120100
x= 0.000000E+00 y= 3.000000 sigma= 576.301000
x= 0.000000E+00 y= 3.250000 sigma= 624.468400
x= 0.000000E+00 y= 3.500000 sigma= 672.611600
x= 0.000000E+00 y= 3.750000 sigma= 720.725400
x= 0.000000E+00 y= 4.000000 sigma= 768.809100
x= 0.000000E+00 y= 4.250000 sigma= 816.864200
x= 0.000000E+00 y= 4.500000 sigma= 864.893400
x= 0.000000E+00 y= 4.750000 sigma= 912.900300
x= 0.000000E+00 y= 5.000000 sigma= 960.888500
x= 0.000000E+00 y= 5.250000 sigma= 1008.862000
x= 0.000000E+00 y= 5.500000 sigma= 1056.823000
x= 0.000000E+00 y= 5.750000 sigma= 1104.777000
x= 0.000000E+00 y= 6.000000 sigma= 1152.725000
x= 0.000000E+00 y= 6.250000 sigma= 1200.670000
x= 0.000000E+00 y= 6.500000 sigma= 1248.613000
x= 0.000000E+00 y= 6.750000 sigma= 1296.558000
x= 0.000000E+00 y= 7.000000 sigma= 1344.505000
x= 0.000000E+00 y= 7.250000 sigma= 1392.457000
x= 0.000000E+00 y= 7.500000 sigma= 1440.412000
x= 0.000000E+00 y= 7.750000 sigma= 1488.373000
x= 0.000000E+00 y= 8.000000 sigma= 1536.341000
x= 0.000000E+00 y= 8.250000 sigma= 1584.315000
x= 0.000000E+00 y= 8.500000 sigma= 1632.296000
x= 0.000000E+00 y= 8.750000 sigma= 1680.284000
x= 0.000000E+00 y= 9.000000 sigma= 1728.279000
x= 0.000000E+00 y= 9.250000 sigma= 1776.282000
x= 0.000000E+00 y= 9.500000 sigma= 1824.292000
x= 0.000000E+00 y= 9.750000 sigma= 1872.309000
x= 0.000000E+00 y= 10.000000 sigma= 1920.333000
x= 2.500000E-01 y= -10.000000 sigma= -1924.312000
x= 2.500000E-01 y= -9.750000 sigma= -1875.976000
x= 2.500000E-01 y= -9.500000 sigma= -1827.609000
x= 2.500000E-01 y= -9.250000 sigma= -1779.212000
x= 2.500000E-01 y= -9.000000 sigma= -1730.789000
x= 2.500000E-01 y= -8.750000 sigma= -1682.354000
x= 2.500000E-01 y= -8.500000 sigma= -1633.934000
x= 2.500000E-01 y= -8.250000 sigma= -1585.593000
x= 2.500000E-01 y= -8.000000 sigma= -1537.552000
x= 5.000000E-01 y= -10.000000 sigma= -1923.997000
x= 5.000000E-01 y= -9.750000 sigma= -1875.937000
x= 5.000000E-01 y= -9.500000 sigma= -1827.879000
x= 5.000000E-01 y= -9.250000 sigma= -1779.824000
x= 5.000000E-01 y= -9.000000 sigma= -1731.772000
x= 5.000000E-01 y= -8.750000 sigma= -1683.724000
x= 5.000000E-01 y= -8.500000 sigma= -1635.681000
x= 5.000000E-01 y= -8.250000 sigma= -1587.643000
x= 5.000000E-01 y= -8.000000 sigma= -1539.611000
x= 5.000000E-01 y= -7.750000 sigma= -1491.586000
x= 5.000000E-01 y= -7.500000 sigma= -1443.569000
x= 5.000000E-01 y= -7.250000 sigma= -1395.562000
x= 5.000000E-01 y= -7.000000 sigma= -1347.566000
x= 5.000000E-01 y= -6.750000 sigma= -1299.582000
x= 5.000000E-01 y= -6.500000 sigma= -1251.613000
x= 5.000000E-01 y= -6.250000 sigma= -1203.659000
x= 5.000000E-01 y= -6.000000 sigma= -1155.722000
x= 5.000000E-01 y= -5.750000 sigma= -1107.801000
x= 5.000000E-01 y= -5.500000 sigma= -1059.891000
x= 5.000000E-01 y= -5.250000 sigma= -1011.983000
x= 5.000000E-01 y= -5.000000 sigma= -964.053400
x= 5.000000E-01 y= -4.750000 sigma= -916.053200
x= 5.000000E-01 y= -4.500000 sigma= -867.885500
x= 5.000000E-01 y= -4.250000 sigma= -819.369600
x= 5.000000E-01 y= -4.000000 sigma= -770.233900
x= 5.000000E-01 y= -3.750000 sigma= -720.506300
x= 7.500000E-01 y= -10.000000 sigma= -1924.448000
x= 7.500000E-01 y= -9.750000 sigma= -1876.352000
x= 7.500000E-01 y= -9.500000 sigma= -1828.255000
x= 7.500000E-01 y= -9.250000 sigma= -1780.157000
x= 7.500000E-01 y= -9.000000 sigma= -1732.057000
x= 7.500000E-01 y= -8.750000 sigma= -1683.957000
x= 7.500000E-01 y= -8.500000 sigma= -1635.854000
x= 7.500000E-01 y= -8.250000 sigma= -1587.750000
x= 7.500000E-01 y= -8.000000 sigma= -1539.644000
x= 7.500000E-01 y= -7.750000 sigma= -1491.536000
x= 7.500000E-01 y= -7.500000 sigma= -1443.425000
x= 7.500000E-01 y= -7.250000 sigma= -1395.313000
x= 7.500000E-01 y= -7.000000 sigma= -1347.198000
x= 7.500000E-01 y= -6.750000 sigma= -1299.081000
x= 7.500000E-01 y= -6.500000 sigma= -1250.961000
x= 7.500000E-01 y= -6.250000 sigma= -1202.839000
x= 7.500000E-01 y= -6.000000 sigma= -1154.715000
x= 7.500000E-01 y= -5.750000 sigma= -1106.589000
x= 7.500000E-01 y= -5.500000 sigma= -1058.462000
x= 7.500000E-01 y= -5.250000 sigma= -1010.336000
x= 7.500000E-01 y= -5.000000 sigma= -962.213100
x= 7.500000E-01 y= -4.750000 sigma= -914.097300
x= 7.500000E-01 y= -4.500000 sigma= -865.995300
x= 7.500000E-01 y= -4.250000 sigma= -817.917800
x= 7.500000E-01 y= -4.000000 sigma= -769.882000
x= 7.500000E-01 y= -3.750000 sigma= -721.915000
x= 7.500000E-01 y= -3.500000 sigma= -674.057400
x= 7.500000E-01 y= -3.250000 sigma= -626.360400
x= 7.500000E-01 y= -3.000000 sigma= -578.841200
x= 7.500000E-01 y= -2.750000 sigma= -531.231300
x= 7.500000E-01 y= -2.500000 sigma= -482.032700
x= 7.500000E-01 y= -2.250000 sigma= -432.935000
x= 1.000000 y= -10.000000 sigma= -1925.068000
x= 1.000000 y= -9.750000 sigma= -1876.984000
x= 1.000000 y= -9.500000 sigma= -1828.901000
x= 1.000000 y= -9.250000 sigma= -1780.816000
x= 1.000000 y= -9.000000 sigma= -1732.730000
x= 1.000000 y= -8.750000 sigma= -1684.644000
x= 1.000000 y= -8.500000 sigma= -1636.556000
x= 1.000000 y= -8.250000 sigma= -1588.467000
x= 1.000000 y= -8.000000 sigma= -1540.377000
x= 1.000000 y= -7.750000 sigma= -1492.285000
x= 1.000000 y= -7.500000 sigma= -1444.190000
x= 1.000000 y= -7.250000 sigma= -1396.094000
x= 1.000000 y= -7.000000 sigma= -1347.995000
x= 1.000000 y= -6.750000 sigma= -1299.893000
x= 1.000000 y= -6.500000 sigma= -1251.788000
x= 1.000000 y= -6.250000 sigma= -1203.678000
x= 1.000000 y= -6.000000 sigma= -1155.564000
x= 1.000000 y= -5.750000 sigma= -1107.443000
x= 1.000000 y= -5.500000 sigma= -1059.316000
x= 1.000000 y= -5.250000 sigma= -1011.180000
x= 1.000000 y= -5.000000 sigma= -963.034500
x= 1.000000 y= -4.750000 sigma= -914.876800
x= 1.000000 y= -4.500000 sigma= -866.704600
x= 1.000000 y= -4.250000 sigma= -818.514900
x= 1.000000 y= -4.000000 sigma= -770.304600
x= 1.000000 y= -3.750000 sigma= -722.070400
x= 1.000000 y= -3.500000 sigma= -673.810400
x= 1.000000 y= -3.250000 sigma= -625.526700
x= 1.000000 y= -3.000000 sigma= -577.233300
x= 1.000000 y= -2.750000 sigma= -528.975000
x= 1.000000 y= -2.500000 sigma= -480.875300
x= 1.000000 y= -2.250000 sigma= -433.228400
x= 1.000000 y= -2.000000 sigma= -386.299500
x= 1.000000 y= -1.750000 sigma= -336.289100
x= 1.250000 y= -10.000000 sigma= -1924.927000
x= 1.250000 y= -9.750000 sigma= -1876.854000
x= 1.250000 y= -9.500000 sigma= -1828.781000
x= 1.250000 y= -9.250000 sigma= -1780.709000
x= 1.250000 y= -9.000000 sigma= -1732.636000
x= 1.250000 y= -8.750000 sigma= -1684.563000
x= 1.250000 y= -8.500000 sigma= -1636.490000
x= 1.250000 y= -8.250000 sigma= -1588.417000
x= 1.250000 y= -8.000000 sigma= -1540.344000
x= 1.250000 y= -7.750000 sigma= -1492.270000
x= 1.250000 y= -7.500000 sigma= -1444.196000
x= 1.250000 y= -7.250000 sigma= -1396.122000
x= 1.250000 y= -7.000000 sigma= -1348.047000
x= 1.250000 y= -6.750000 sigma= -1299.970000
x= 1.250000 y= -6.500000 sigma= -1251.893000
x= 1.250000 y= -6.250000 sigma= -1203.815000
x= 1.250000 y= -6.000000 sigma= -1155.734000
x= 1.250000 y= -5.750000 sigma= -1107.652000
x= 1.250000 y= -5.500000 sigma= -1059.566000
x= 1.250000 y= -5.250000 sigma= -1011.477000
x= 1.250000 y= -5.000000 sigma= -963.382900
x= 1.250000 y= -4.750000 sigma= -915.282300
x= 1.250000 y= -4.500000 sigma= -867.173300
x= 1.250000 y= -4.250000 sigma= -819.053200
x= 1.250000 y= -4.000000 sigma= -770.918200
x= 1.250000 y= -3.750000 sigma= -722.762800
x= 1.250000 y= -3.500000 sigma= -674.579600
x= 1.250000 y= -3.250000 sigma= -626.357800
x= 1.250000 y= -3.000000 sigma= -578.082300
x= 1.250000 y= -2.750000 sigma= -529.732200
x= 1.250000 y= -2.500000 sigma= -481.283100
x= 1.250000 y= -2.250000 sigma= -432.722100
x= 1.250000 y= -2.000000 sigma= -384.130200
x= 1.500000 y= -10.000000 sigma= -1924.368000
x= 1.500000 y= -9.750000 sigma= -1876.299000
x= 1.500000 y= -9.500000 sigma= -1828.231000
x= 1.500000 y= -9.250000 sigma= -1780.163000
x= 1.500000 y= -9.000000 sigma= -1732.095000
x= 1.500000 y= -8.750000 sigma= -1684.028000
x= 1.500000 y= -8.500000 sigma= -1635.961000
x= 1.500000 y= -8.250000 sigma= -1587.894000
x= 1.500000 y= -8.000000 sigma= -1539.828000
x= 1.500000 y= -7.750000 sigma= -1491.762000
x= 1.500000 y= -7.500000 sigma= -1443.696000
x= 1.500000 y= -7.250000 sigma= -1395.631000
x= 1.500000 y= -7.000000 sigma= -1347.567000
x= 1.500000 y= -6.750000 sigma= -1299.503000
x= 1.500000 y= -6.500000 sigma= -1251.439000
x= 1.500000 y= -6.250000 sigma= -1203.375000
x= 1.500000 y= -6.000000 sigma= -1155.312000
x= 1.500000 y= -5.750000 sigma= -1107.249000
x= 1.500000 y= -5.500000 sigma= -1059.185000
x= 1.500000 y= -5.250000 sigma= -1011.122000
x= 1.500000 y= -5.000000 sigma= -963.057500
x= 1.500000 y= -4.750000 sigma= -914.992100
x= 1.500000 y= -4.500000 sigma= -866.924700
x= 1.500000 y= -4.250000 sigma= -818.854200
x= 1.500000 y= -4.000000 sigma= -770.778900
x= 1.500000 y= -3.750000 sigma= -722.696400
x= 1.500000 y= -3.500000 sigma= -674.602500
x= 1.750000 y= -10.000000 sigma= -1923.713000
x= 1.750000 y= -9.750000 sigma= -1875.644000
x= 1.750000 y= -9.500000 sigma= -1827.576000
x= 1.750000 y= -9.250000 sigma= -1779.508000
x= 1.750000 y= -9.000000 sigma= -1731.440000
x= 1.750000 y= -8.750000 sigma= -1683.372000
x= 1.750000 y= -8.500000 sigma= -1635.306000
x= 1.750000 y= -8.250000 sigma= -1587.239000
x= 1.750000 y= -8.000000 sigma= -1539.173000
x= 1.750000 y= -7.750000 sigma= -1491.108000
x= 1.750000 y= -7.500000 sigma= -1443.043000
x= 1.750000 y= -7.250000 sigma= -1394.979000
x= 1.750000 y= -7.000000 sigma= -1346.916000
x= 1.750000 y= -6.750000 sigma= -1298.854000
x= 1.750000 y= -6.500000 sigma= -1250.792000
x= 1.750000 y= -6.250000 sigma= -1202.731000
x= 1.750000 y= -6.000000 sigma= -1154.671000
x= 1.750000 y= -5.750000 sigma= -1106.612000
x= 1.750000 y= -5.500000 sigma= -1058.554000
x= 2.000000 y= -10.000000 sigma= -1923.131000
x= 2.000000 y= -9.750000 sigma= -1875.060000
x= 2.000000 y= -9.500000 sigma= -1826.989000
x= 2.000000 y= -9.250000 sigma= -1778.919000
x= 2.000000 y= -9.000000 sigma= -1730.849000
x= 2.000000 y= -8.750000 sigma= -1682.779000
x= 2.000000 y= -8.500000 sigma= -1634.710000
x= 2.000000 y= -8.250000 sigma= -1586.641000
x= 2.000000 y= -8.000000 sigma= -1538.573000
Блок-схема
Санкт-Петербургский Государственный Университет
Информационных Технологий
Механики и Оптики
Отчет
По экзаменационной работе
По информатике
Подготовил:
Преподаватель:
2004 г.
Текст программы
program lab5
implicit none
real x, y, sigma, pi
logical l, o
pi=2.*asin(1.)
open(1, file='tabl.txt')
open(2, file='line.txt')
open(3, file='para.txt')
open(4, file='inside.txt')
do x=-10,10,0.25
y=-(x**3.)
write(2,*) x,x
write(3,*) x,y
enddo
do x=-10,10,0.25
do y=-10,10,0.25
l=(x<=0 .and. y>=0 .and. y>=-(x**3.)) .or. (y<=-(x**3.) .and. y<=x)
if(l) write(4,*) x,y
if(l .and. y/=0 .and. x/=y) then
if(x+2./(y-x)>0 .and. x+5./(3.*y)>0) then
sigma=sin(log(x+2./(y-x)))-cos(pi/y)-cos(pi*log(x+5./(3*y)))+y/(5.2*(10**(-3.)))
write(1,*) 'x=', x, ' y=', y, ' sigma=', sigma
endif
endif
enddo
enddo
end