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alldevic/Program.cs

Created May 26, 2019 16:39
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Taylor
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Введите Xнач:
-1
Введите Xкон:
1
Введите шаг dx:
0,01
Введите точность eps:
0,0000001
ЗНАЧЕНИЯ ARCCOS(X)
| x | f(x) | N | C#(f(x))
| -1 | 3,09551 | 149 | 3,14159265358979
| -0,99 | 2,99979 | 149 | 3,00005318026537
| -0,98 | 2,94125 | 149 | 2,94125781126667
| -0,97 | 2,89603 | 124 | 2,8960271360745
| -0,96 | 2,8578 | 97 | 2,85779854438147
| -0,95 | 2,82403 | 80 | 2,82403222429827
| -0,94 | 2,79343 | 68 | 2,79342663231683
| -0,93 | 2,76521 | 59 | 2,76520917127207
| -0,92 | 2,73888 | 52 | 2,73887681200913
| -0,91 | 2,71408 | 47 | 2,71408038864492
| -0,9 | 2,69057 | 43 | 2,69056584179353
| -0,89 | 2,66814 | 39 | 2,66814149631773
| -0,88 | 2,64666 | 36 | 2,6466585272489
| -0,87 | 2,626 | 33 | 2,6259986473437
| -0,86 | 2,60607 | 31 | 2,60606599927541
| -0,85 | 2,58678 | 29 | 2,58678162060972
| -0,84 | 2,56808 | 27 | 2,5680795491667
| -0,83 | 2,5499 | 26 | 2,54990401116325
| -0,82 | 2,53221 | 24 | 2,532207345559
| -0,81 | 2,51495 | 23 | 2,51494844194905
| -0,8 | 2,49809 | 22 | 2,49809154479651
| -0,79 | 2,48161 | 21 | 2,48160532420229
| -0,78 | 2,46546 | 20 | 2,46546214402913
| -0,77 | 2,44964 | 19 | 2,44963747846348
| -0,76 | 2,43411 | 18 | 2,43410944181045
| -0,75 | 2,41886 | 17 | 2,41885840577638
| -0,74 | 2,40387 | 17 | 2,40386668513654
| -0,73 | 2,38912 | 16 | 2,38911827742646
| -0,72 | 2,3746 | 15 | 2,37459864572793
| -0,71 | 2,36029 | 15 | 2,36029453614107
| -0,7 | 2,34619 | 14 | 2,34619382340565
| -0,69 | 2,33229 | 14 | 2,33228537954253
| -0,68 | 2,31856 | 13 | 2,31855896145482
| -0,67 | 2,30501 | 13 | 2,30500511424826
| -0,66 | 2,29161 | 12 | 2,29161508766499
| -0,65 | 2,27838 | 12 | 2,27838076352025
| -0,64 | 2,26529 | 11 | 2,26529459242145
| -0,63 | 2,25235 | 11 | 2,25234953835801
| -0,62 | 2,23954 | 11 | 2,23953902999727
| -0,61 | 2,22686 | 10 | 2,22685691771982
| -0,6 | 2,2143 | 10 | 2,21429743558818
| -0,59 | 2,20186 | 10 | 2,20185516757292
| -0,58 | 2,18952 | 9 | 2,18952501746715
| -0,57 | 2,1773 | 9 | 2,17730218200798
| -0,56 | 2,16518 | 9 | 2,16518212679596
| -0,55 | 2,15316 | 9 | 2,15316056466364
| -0,54 | 2,14123 | 8 | 2,14123343619482
| -0,53 | 2,1294 | 8 | 2,1293968921377
| -0,52 | 2,11765 | 8 | 2,11764727749084
| -0,51 | 2,10598 | 8 | 2,1059811170705
| -0,5 | 2,09439 | 7 | 2,0943951023932
| -0,49 | 2,08289 | 7 | 2,08288607972904
| -0,48 | 2,07145 | 7 | 2,07145103919948
| -0,47 | 2,06009 | 7 | 2,06008710480901
| -0,46 | 2,04879 | 7 | 2,04879152531385
| -0,45 | 2,03756 | 6 | 2,03756166584219
| -0,44 | 2,02639 | 6 | 2,02639500019072
| -0,43 | 2,01529 | 6 | 2,01528910373072
| -0,42 | 2,00424 | 6 | 2,00424164686478
| -0,41 | 1,99325 | 6 | 1,99325038898165
| -0,4 | 1,98231 | 6 | 1,98231317286238
| -0,39 | 1,97143 | 5 | 1,97142791949627
| -0,38 | 1,96059 | 5 | 1,96059262326916
| -0,37 | 1,94981 | 5 | 1,94980534749085
| -0,36 | 1,93906 | 5 | 1,93906422023154
| -0,35 | 1,92837 | 5 | 1,92836743044041
| -0,34 | 1,91771 | 5 | 1,91771322432206
| -0,33 | 1,9071 | 5 | 1,90709990194888
| -0,32 | 1,89653 | 4 | 1,89652581408953
| -0,31 | 1,88599 | 4 | 1,88598935923562
| -0,3 | 1,87549 | 4 | 1,87548898081029
| -0,29 | 1,86502 | 4 | 1,86502316454388
| -0,28 | 1,85459 | 4 | 1,85459043600322
| -0,27 | 1,84419 | 4 | 1,84418935826237
| -0,26 | 1,83382 | 4 | 1,83381852970337
| -0,25 | 1,82348 | 4 | 1,82347658193698
| -0,24 | 1,81316 | 3 | 1,81316217783386
| -0,23 | 1,80287 | 3 | 1,80287400965761
| -0,22 | 1,79261 | 3 | 1,79261079729169
| -0,21 | 1,78237 | 3 | 1,78237128655299
| -0,2 | 1,77215 | 3 | 1,77215424758523
| -0,19 | 1,76196 | 3 | 1,76195847332596
| -0,18 | 1,75178 | 3 | 1,75178277804144
| -0,17 | 1,74163 | 3 | 1,741625995924
| -0,16 | 1,73149 | 3 | 1,73148697974681
| -0,15 | 1,72136 | 2 | 1,72136459957158
| -0,14 | 1,71126 | 2 | 1,71125774150475
| -0,13 | 1,70117 | 2 | 1,70116530649804
| -0,12 | 1,69109 | 2 | 1,69108620918968
| -0,11 | 1,68102 | 2 | 1,68101937678264
| -0,1 | 1,67096 | 2 | 1,67096374795646
| -0,09 | 1,66092 | 2 | 1,66091827180949
| -0,08 | 1,65088 | 2 | 1,65088190682856
| -0,07 | 1,64085 | 2 | 1,64085361988295
| -0,06 | 1,63083 | 1 | 1,63083238524017
| -0,05 | 1,62082 | 1 | 1,62081718360067
| -0,04 | 1,61081 | 1 | 1,61080700114889
| -0,03 | 1,6008 | 1 | 1,60080082861837
| -0,02 | 1,5908 | 1 | 1,59079766036829
| -0,01 | 1,5808 | 1 | 1,58079649346906
| 0 | 1,5708 | 1 | 1,5707963267949
| 0,01 | 1,5608 | 1 | 1,56079616012073
| 0,02 | 1,55079 | 1 | 1,55079499322151
| 0,03 | 1,54079 | 1 | 1,54079182497142
| 0,04 | 1,53079 | 1 | 1,53078565244091
| 0,05 | 1,52078 | 1 | 1,52077546998913
| 0,06 | 1,51076 | 1 | 1,51076026834962
| 0,07 | 1,50074 | 2 | 1,50073903370685
| 0,08 | 1,49071 | 2 | 1,49071074676124
| 0,09 | 1,48067 | 2 | 1,4806743817803
| 0,1 | 1,47063 | 2 | 1,47062890563334
| 0,11 | 1,46057 | 2 | 1,46057327680715
| 0,12 | 1,45051 | 2 | 1,45050644440011
| 0,13 | 1,44043 | 2 | 1,44042734709175
| 0,14 | 1,43033 | 2 | 1,43033491208504
| 0,15 | 1,42023 | 2 | 1,42022805401821
| 0,16 | 1,41011 | 3 | 1,41010567384299
| 0,17 | 1,39997 | 3 | 1,39996665766579
| 0,18 | 1,38981 | 3 | 1,38980987554835
| 0,19 | 1,37963 | 3 | 1,37963418026384
| 0,2 | 1,36944 | 3 | 1,36943840600457
| 0,21 | 1,35922 | 3 | 1,3592213670368
| 0,22 | 1,34898 | 3 | 1,3489818562981
| 0,23 | 1,33872 | 3 | 1,33871864393218
| 0,24 | 1,32843 | 3 | 1,32843047575593
| 0,25 | 1,31812 | 4 | 1,31811607165282
| 0,26 | 1,30777 | 4 | 1,30777412388643
| 0,27 | 1,2974 | 4 | 1,29740329532742
| 0,28 | 1,287 | 4 | 1,28700221758657
| 0,29 | 1,27657 | 4 | 1,27656948904591
| 0,3 | 1,2661 | 4 | 1,2661036727795
| 0,31 | 1,2556 | 4 | 1,25560329435417
| 0,32 | 1,24507 | 4 | 1,24506683950027
| 0,33 | 1,23449 | 5 | 1,23449275164092
| 0,34 | 1,22388 | 5 | 1,22387942926773
| 0,35 | 1,21323 | 5 | 1,21322522314939
| 0,36 | 1,20253 | 5 | 1,20252843335826
| 0,37 | 1,19179 | 5 | 1,19178730609895
| 0,38 | 1,181 | 5 | 1,18100003032064
| 0,39 | 1,17016 | 5 | 1,17016473409352
| 0,4 | 1,15928 | 6 | 1,15927948072741
| 0,41 | 1,14834 | 6 | 1,14834226460814
| 0,42 | 1,13735 | 6 | 1,13735100672501
| 0,43 | 1,1263 | 6 | 1,12630354985908
| 0,44 | 1,1152 | 6 | 1,11519765339907
| 0,45 | 1,10403 | 6 | 1,1040309877476
| 0,46 | 1,0928 | 7 | 1,09280112827594
| 0,47 | 1,08151 | 7 | 1,08150554878078
| 0,48 | 1,07014 | 7 | 1,07014161439031
| 0,49 | 1,05871 | 7 | 1,05870657386075
| 0,5 | 1,0472 | 7 | 1,0471975511966
| 0,51 | 1,03561 | 8 | 1,0356115365193
| 0,52 | 1,02395 | 8 | 1,02394537609895
| 0,53 | 1,0122 | 8 | 1,0121957614521
| 0,54 | 1,00036 | 8 | 1,00035921739497
| 0,55 | 0,98843 | 9 | 0,988432088926153
| 0,56 | 0,97641 | 9 | 0,976410526793834
| 0,57 | 0,96429 | 9 | 0,96429047158181
| 0,58 | 0,95207 | 9 | 0,952067636122646
| 0,59 | 0,93974 | 10 | 0,939737486016875
| 0,6 | 0,9273 | 10 | 0,927295218001612
| 0,61 | 0,91474 | 10 | 0,914735735869974
| 0,62 | 0,90205 | 11 | 0,902053623592525
| 0,63 | 0,88924 | 11 | 0,88924311523178
| 0,64 | 0,8763 | 11 | 0,876298061168341
| 0,65 | 0,86321 | 12 | 0,863211890069541
| 0,66 | 0,84998 | 12 | 0,849977565924807
| 0,67 | 0,83659 | 13 | 0,836587539341538
| 0,68 | 0,82303 | 13 | 0,823033692134976
| 0,69 | 0,80931 | 14 | 0,809307274047263
| 0,7 | 0,7954 | 14 | 0,795398830184144
| 0,71 | 0,7813 | 15 | 0,781298117448725
| 0,72 | 0,76699 | 15 | 0,766994007861867
| 0,73 | 0,75247 | 16 | 0,752474376163337
| 0,74 | 0,73773 | 17 | 0,737725968453249
| 0,75 | 0,72273 | 17 | 0,722734247813416
| 0,76 | 0,70748 | 18 | 0,707483211779343
| 0,77 | 0,69196 | 19 | 0,691955175126317
| 0,78 | 0,67613 | 20 | 0,676130509560661
| 0,79 | 0,65999 | 21 | 0,659987329387498
| 0,8 | 0,6435 | 22 | 0,643501108793284
| 0,81 | 0,62664 | 23 | 0,626644211640741
| 0,82 | 0,60939 | 24 | 0,609385308030795
| 0,83 | 0,59169 | 26 | 0,591688642426544
| 0,84 | 0,57351 | 27 | 0,573513104423097
| 0,85 | 0,55481 | 29 | 0,554811032980072
| 0,86 | 0,53553 | 31 | 0,535526654314388
| 0,87 | 0,51559 | 33 | 0,515594006246091
| 0,88 | 0,49493 | 36 | 0,494934126340896
| 0,89 | 0,47345 | 39 | 0,473451157272066
| 0,9 | 0,45103 | 43 | 0,451026811796262
| 0,91 | 0,42751 | 47 | 0,427512264944869
| 0,92 | 0,40272 | 52 | 0,402715841580661
| 0,93 | 0,37638 | 59 | 0,376383482317728
| 0,94 | 0,34817 | 68 | 0,348166021272961
| 0,95 | 0,31756 | 80 | 0,317560429291522
| 0,96 | 0,2838 | 97 | 0,283794109208328
| 0,97 | 0,24557 | 124 | 0,245565517515292
| 0,98 | 0,20034 | 149 | 0,20033484232312
| 0,99 | 0,1418 | 149 | 0,141539473324427
| 1 | 0,04608 | 149 | 0
Process finished with exit code 0.
Raw
Program.cs
using System;
namespace Taylor
{
internal class Program
{
public static void Main(string[] args)
{
double xbegin, xend, dx, eps;
try
{
xbegin = ReadDouble("Введите Xнач:", -1, 1);
xend = ReadDouble("Введите Xкон:", xbegin, 1);
dx = ReadDouble("Введите шаг dx:", 0.001, 1);
eps = ReadDouble("Введите точность eps:", 0.0000000001, 1);
}
catch (Exception e)
{
Console.WriteLine(e.Message);
Console.WriteLine("Приложение будет закрыто");
Console.ReadKey();
return;
}
Console.WriteLine();
Console.WriteLine("\t\t\tЗНАЧЕНИЯ ARCCOS(X)\t\t\t");
Console.WriteLine("|\tx\t|\tf(x)\t|\tN\t|\tC#(f(x))\t");
while (xbegin <= xend)
{
double prev = Arccos(xbegin, 1);
double curr = Arccos(xbegin, 2);
int count = 2;
while (Math.Abs(curr - prev) > eps)
{
prev = curr;
count++;
curr = Arccos(xbegin, count);
}
prev = Math.Round(prev, eps.ToString().Length);
Console.WriteLine(GetTableRow(xbegin, prev, count - 1));
xbegin += dx;
xbegin = Math.Round(xbegin, 15);
}
}
private static double Arccos(double x, int n)
{
double res = Math.PI / 2 - x;
for (int i = 0; i < n; i++)
{
double a = 1, b = 1;
for (int j = 0; j < i + 1; j++)
{
a *= 2 * (j + 1) - 1;
b *= 2 * (j + 1);
}
a *= Math.Pow(x, 2 * (i+1) + 1);
b *= 2 * (i+1) + 1;
res -= a / b;
}
return res;
}
public static double ReadDouble(string message, double min, double max)
{
Console.WriteLine(message);
try
{
double res = Convert.ToDouble(Console.ReadLine());
if (res < min || res > max)
{
throw new ArgumentOutOfRangeException();
}
return res;
}
catch (FormatException)
{
throw new Exception("Введены некорректные данные! Вы ввели не число с плавающей точкой");
}
catch (IndexOutOfRangeException)
{
string exMessage = string.Format("Введены некорректные данные! Введенное число не лежит на [{0}; {1}]",
min, max);
throw new Exception(exMessage);
}
}
static string GetTableRow(double x, double fx, double count)
{
return string.Format("|\t{0}\t|\t{1}\t|\t{2}\t|\t{3}\t", x, fx, count, Math.Acos(x));
}
}
}
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