Assume I have a table. The values inside the table are determined by y and x...
Assume I have a table. The values inside the table are determined by y and x variables. But in this case it is t and p (or temperature and pressure). Those values for t and p don't correlate to my array in code ( for example on column = 0 the temperature= -120). That's what a and b are for. I want to be able to input a value between two rows or columns and use a y=mx+b equation to find it.I'm trying to make a linear interpolation from an array code. Yet if I plug in a value in between two coordinates it doesn't solve what is in between. If I give a t=-81.5 for example which is in between -80 and -85, it gives the value corresponding to t=-85. I want to be able to plug i say p=11 and t=-82.4 and get back a value that uses y=mx+b to give back a value from linear interpolation from the values around it. Can someone help me??
#include <iostream>
#include <iomanip>
#include <string >
using namespace std;
int main()
{
int a, b;
int j, i;
float t1, m, p2, p1, w, p,t, a1, a2;
double pt [75][21] =
{{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,}
,{0,0,0,0,6.67E+27,0,0,-3.18E+28,1.19E+28,0,-4.32E+28,0,-5.53E+28,0,3.69E+28,0,0,8.86E+27,0,0,1.45E+27}
,
{0,0,6.60E+27,0,5.94E+26,0,1.41E+27,0,0,4.35E+27,0,0,0,0,0,1.04E+28,1.87E+27,0,-6.63E+26,0,0},
{0,0,416.239054,297.5463278,216.0356292,159.0293809,118.4963531,89.24049123,67.83433165,0,0,0,0,0,0,0,0,0,0,0,0},
{0,0,416.2390569,297.5463293,216.0356301,159.0293814,118.4963534,89.24049141,67.83433176,51.97633661,40.09536551,31.10241936,24.23195309,0,0,0,0,0,0,0,0}
,
{0,0,416.2390853,297.5463446,216.0356386,159.0293863,118.4963563,89.24049313,67.83433282,51.97633728,40.09536594,31.10241963,24.23195327,18.93870556,14.82955365,11.61783264,0,0,0,0,0},
{0,
0,416.23937,297.5464977,216.0357237,159.029435,118.4963849,89.24051038,67.83434343,51.97634393,40.09537018,31.10242238,24.23195507,18.93870675,14.82955445,11.61783318,9.09228946,7.095707654,0,0,0},
{0, 0, 416.242217, 297.5480283, 216.0365744,
159.029922,118.4966713,89.24068284,67.83444952,51.97641045,40.0954126,31.10244983,24.23197307,18.93871869,14.82956243,11.61783857,9.092293108,7.095710134,5.510022088,4.245829534,0},
{0, 0, 416.270689, 297.563336, 216.0450817,
159.0347927, 118.4995352, 89.24240744
,67.83551047, 51.97707567
,40.0958368, 31.10272439,
24.23215309, 18.93883803,
14.82964229, 11.61789239
,9.092329584, 7.095734928,
5.510038952, 4.245840976
,3.234989005},
{0, 0, 416.5556227,
297.7164988, 216.1301923,
159.0835159, 118.5281817,
89.25965712, 67.84612174,
51.98372877 ,40.10007925,
31.10547021,24.23395342, 18.9400316,
14.83044092, 11.6184307,
9.092694356, 7.095982881,
5.510207596, 4.245955397,
3.235066138},
{0, 0, 419.4265617,
299.2568441, 216.9850003,
159.5723952, 118.8154101,
89.43252144 ,67.95241736,
52.05035354, 40.14255322,
31.13295505, 24.2519714,
18.95197549, 14.83843195,
11.62381648, 9.096343673,
7.098463352, 5.511894604,
4.247099937, 3.235837667},
{0, 0, 450.473599,
315.5847697, 225.9202795,
164.631685, 121.7661578,
91.19871514, 69.0339823,
52.72611478, 40.57229368,
31.41049798, 24.43363528,
19.07224772, 14.91881799, 11.67794986,
9.132998341, 7.123363555
,5.528821496, 4.258579221, 3.243573138},
{0, 0, 490.8441882,
335.9514655, 236.7528267,
170.6431099, 125.2215315,
93.24480173, 70.27682486,
53.4978385, 41.06070228,
31.72473919, 24.63870151,
19.207685568, 15.00916266, 11.7386918,
9.174073214, 7.151235676,
5.547751135, 4.271406688,
3.252211382},
{0, 0, 539.1629115,
359.1282804, 248.6764869,
177.1101694, 128.8787328,
95.38480012, 71.56523467,
54.29248548, 41.56101083,
32.04532976, 24.84723764,
19.34505966, 15.10060731, 11.80006821,
9.215518625, 7.179326284,
5.56681045, 4.284311351,
3.260895533},
{0, 0, 598.0332937,
385.7399047, 261.864857,
184.0867059, 132.7559767,
97.62532776, 72.90176456,
55.11109251, 42.07365961,
32.37246406, 25.05933249,
19.48441179, 15.19317216
,11.86208908, 9.257339603,
7.207637955, 5.586000776,
4.297293916, 3.269625957},
{0, 0, 671.3353311,
416.611006, 276.5304225,
191.6353936, 136.8737381,
99.97363877, 74.28916162,
55.95475982, 42.59911089,
32.70634452, 25.27507795,
19.62578498, 15.28687791,
11.92476461, 9.299541287,
7.236173311, 5.605323467,
4.310355083, 3.278403024},
{0, 0, 1734.079798,
694.5290923, 384.081051,
241.0598603, 161.9973836,
113.6413733, 82.10147992,
60.5926155, 45.43630764,
34.48463998, 26.41201146,
20.36456381, 15.77328194,
12.24833478, 9.516446367,
7.382300005, 5.703971204,
4.376865356, 3.323001249},
{0, 0, 0,
2086.233516, 628.5349052,
324.8377781, 198.4172016,
131.6378131, 91.74983911,
66.06867271, 48.67832201,
36.46737505, 27.65600373,
21.16110515, 16.29163028,
12.58993361, 9.743694705,
7.534436648, 5.806142578,
4.445451917, 3.368823454},
{0, 0, 0, 0,
1728.931544, 497.8641337, 255.9611644,
156.4062859, 103.9676811,
72.63273783, 52.41845016,
38.69195445, 29.02292345,
22.0224589, 16.84517661,
12.95111102, 9.982044165
,7.692961749, 5.912029772,
4.516213488, 3.415920673},
{0, 0, 0, 0,
0, 1065.293367, 360.5149078,
192.6551175, 119.939106, 80.64483142,
56.78104254, 41.20550042,
30.53193861, 22.95687085,
17.43763201, 13.3335998,
10.2323285, 7.858286277,
6.021839211, 4.58925515,
3.464346807},
{0, 0, 0, 0,
0, 0, 609.4629605,
250.773991, 141.7078202, 90.64350671,
61.93559736, 44.06822761,
32.20642075, 23.97404757,
18.07324823, 13.73934347,
10.4954671, 8.030857242
,6.135792876 ,4.66468886
,3.514158852},
{0, 0, 0, 0, 0,0,1969.364974,359.1050648,173.1301444,103.4721778,
68.11929589,47.35832945,34.07516416, 25.08549472,
18.75691995, 14.17052927,
10.77247628, 8.211161687,
6.254129844, 4.742634031,
3.565417096},
{0, 0, 0, 0, 0, 0, 0,
632.2069464, 222.4571119, 120.5303974, 75.6745325,
51.17922945, 36.17405559,
26.3049543 ,19.49431102,
14.62962759 ,11.06448237,
8.399731329, 6.377107933, 4.823218153,
3.618185396},
{0, 0, 0, 0,
0, 0, 0,
2639.671992, 311.0890019,
144.3227273, 85.11453187, 55.67065026,
38.54840109, 27.64897556,
20.29201174, 15.11943938,
11.37273706, 8.59714775,
6.505005579, 4.906577504, 3.6725314},
{0, 0, 0, 0,
0, 0, 0, 0,
517.1169261, 179.8175061,
97.24507179, 61.02607034,
41.25623358, 29.13767062,
21.15773638, 15.64315329,
11.69863534, 8.804048428,
6.638123949, 4.992857898,
3.728526882},
{0, 0, 0, 0, 0,
0, 0, 0,
1531.15454, 238.4644703,
113.4075818, 67.52132732, 44.37311923,
30.79572764, 22.10057346,
16.20441518, 12.04373655,
9.021133574, 6.776789316,
5.082215558, 3.786248027},
{0, 0, 0, 0, 0,
0, 0, 0, 0,
353.8789878, 136.0129602,
75.56365953, 47.99931981, 32.65379095,
23.13130603, 16.80741316,
12.40978938, 9.249174074,
6.921355699, 5.174818036,
3.845775782},
{0, 0, 0, 0, 0, 0,
0, 0, 0,
685.7875281, 169.8726937,
85.78052879, 52.27077908, 34.75037228,
24.26282592, 17.45698221,
12.79876151, 9.489020631,
7.072207906, 5.270845279,
3.907196234},
{0, 0, 0, 0, 0,
0, 0, 0, 0,
11042.96616, 226.1770558,
99.19175486, 57.37654604,
37.13454908, 25.51067569,
18.15873411, 13.21287491,
9.741614375, 7.229764947,
5.370490792, 3.970601048},
{0, 0, 0, 0,
0, 0, 0, 0,
0, 0, 338.3062607,
117.5730238, 63.58751317,
39.86985432, 26.89376682,
18.91922006, 13.65464844,
10.00799916, 7.394483931,
5.473962935, 4.036087894},
{0, 0, 0, 0,
0, 0, 0, 0,
0, 0, 670.9062917,
144.3154465, 71.30608143,
43.04002211, 28.43534499,
19.7461357, 14.12694902,
10.28933607, 7.566864447,
5.58148638, 4.103760943},
{0, 0, 0, 0,
0, 0, 0, 0,
0, 0, 39723.93896,
186.8034028, 81.15698678,
46.75770991, 30.16430691,
20.64858253, 14.63305393,
10.58692021, 7.747453708,
5.693303749, 4.173731457},
{0, 0, 0, 0,
0, 0, 0, 0,
0, 0, 0,
264.7448646, 94.16546614,
51.17816732, 32.11702881,
21.63740425, 15.17672705,
10.90220081, 7.936852269,
5.809677409, 4.246118379},
{0, 0, 0, 0,
0, 0, 0, 0,
0, 0, 0,
454.2841996, 112.1394482,
56.52146544, 34.33995385,
22.72562462, 15.76231252,
11.23680464, 8.135720732,
5.930891548, 4.321048979},
{0, 0, 0, 0,
0, 0, 0, 0,
0, 0, 0,
1599.097718, 138.592638,
63.11027115, 36.89333337,
23.92902429, 16.39485108,
11.5925642, 8.344787487,
6.057254523, 4.398659663},
{0, 0, 0, 0,
0, 0, 0, 0,
0, 0, 0, 0,
181.3772584, 71.43752125,
39.85677065, 25.26691103,
17.08022562, 11.97155128,
8.56485754, 6.189101415, 4.47909674},
{0, 0, 0, 0,
0, 0, 0, 0,
0, 0, 0, 0,
262.3702128, 82.29580448, 43.33766881,
26.76316351, 17.82534457,
12.37611731, 8.79682293,
6.326797035, 4.562517373},
{0, 0, 0, 0,
0, 0, 0, 0,
0, 0, 0, 0,
474.0450087, 97.04586092,
47.48452711, 28.44766899,
18.63837569, 12.80894217,
9.041674797, 6.470739291, 4.6490906},
{0, 0, 0, 0,
0, 0, 0, 0,
0, 0, 0, 0,
2453.032795, 118.236817,
52.5086765, 30.35834013,
19.52904668, 13.2730937,
9.300517535, 6.621363019,
4.738998474},
{0, 0, 0, 0,
0, 0, 0, 0,
0, 0, 0, 0,
0, 151.2658858, 58.72144128,
32.54400263, 20.50903611,
13.77210043, 9.57458545,
6.779144372, 4.83243734},
{0, 0, 0, 0,
0, 0, 0, 0,
0, 0, 0, 0,
0, 209.8976462, 66.60121455,
35.06862634, 21.59248861,
14.31004155, 9.865262458,
6.94460585, 4.929619267},
{0, 0, 0, 0,
0, 0, 0, 0,
0, 0, 0, 0,
0, 342.7409483, 76.92289229,
38.01769002, 22.79670179,
14.89165849, 10.17410537,
7.118322075, 5.030773652},
{0, 0, 0, 0,
0, 0, 0, 0,
0, 0, 0, 0,
0, 933.5656741, 91.02970547,
41.5080516, 24.1430568,
15.52249527, 10.50287191,
7.300926461, 5.13614903},
{0, 0, 0, 0, 0,
0, 0, 0, 0,
0, 0, 0, 0,
0, 111.4712533, 45.70380199,
25.65829867, 16.20907562,
10.8535541, 7.493118926,
5.246015109},
{0, 0, 0, 0,
0, 0, 0, 0,
0, 0, 0, 0,
0, 0, 143.7499387,
50.84281109, 27.37633129,
16.95912949, 11.22841867,
7.695674876, 5.360665073},
{0, 0, 0, 0,
0, 0, 0, 0,
0, 0, 0, 0,
0, 0, 202.3377654, 57.28344586,
29.34078428, 17.78188522,
11.63005616, 7.909455586, 5.4804182},
{0, 0, 0, 0,
0, 0, 0, 0,
0, 0, 0, 0,
0, 0, 341.5251341,
65.591933, 31.6087696,
18.68845126, 12.06144071,
8.135420548, 5.605622836},
{0, 0, 0, 0,
0, 0, 0, 0,
0, 0, 0, 0,
0, 0, 1094.142012,
76.71862205, 34.25652594,
19.69232067, 12.526004,
8.374641795, 5.736659728},
{0, 0, 0, 0,
0, 0, 0, 0,
0, 0, 0, 0,
0, 0, 0,
92.39024239, 37.38815671,
20.81004695,13.02772673, 8.62832095,
5.873945969},
{0, 0, 0, 0,
0, 0, 0, 0,
0, 0, 0, 0,
0, 0, 0,
116.1062038, 41.14964111,
22.06216444, 13.57125273,
8.89780931, 6.017939377},
{0, 0, 0, 0,
0, 0, 0, 0,
0, 0, 0, 0,
0, 0, 0,
156.1988344, 45.75224397,
23.47446092, 14.16203347,
9.184632062, 6.169143629},
{0, 0, 0, 0,
0, 0, 0, 0,
0, 0, 0, 0,
0, 0, 0,
238.576319, 51.51360631,
25.07977304, 14.80651118,
9.490517107, 6.32811407},
{0, 0, 0, 0,
0, 0, 0, 0,
0, 0, 0, 0,
0, 0, 0,
504.7680903, 58.93434126,
26.92057082, 15.51235501,
9.817429792, 6.495464632},
{0, 0, 0, 0,
0, 0, 0, 0,
0, 0, 0, 0,
0, 0, 0, 0,
68.85194551, 29.05277052,
16.28876755, 10.16761538,
6.671875711},
{0, 0, 0, 0,
0, 0, 0, 0,
0, 0, 0, 0,
0, 0, 0, 0,
82.78149639, 31.55151296,
17.14688808, 10.54365045,
6.858103339},
{0, 0, 0, 0,
0, 0, 0, 0,
0, 0, 0, 0,
0, 0, 0, 0,
103.7746434, 34.52020285,
18.10033079, 10.94850664
,7.05499016},
{0, 0, 0, 0,
0, 0, 0, 0,
0, 0, 0, 0,
0, 0, 0, 0,
139.0292374, 38.10517727,
19.165912, 11.38562909, 7.26347801},
{0, 0, 0, 0,
0, 0, 0, 0,
0, 0, 0, 0,
0, 0, 0, 0,
210.5531877, 42.52056695,
20.36465099, 11.85903494,
7.484623115},
{0, 0, 0, 0,
0, 0, 0, 0,
0, 0, 0, 0,
0, 0, 0, 0,
433.6039241, 48.09269824,
21.72316998, 12.37343691,
7.719613948},
{0, 0, 0, 0,
0, 0, 0, 0,
0, 0, 0, 0,
0, 0, 0, 0,
0, 55.34465047, 23.27569497,
12.93440095, 7.969792483},
{0, 0, 0, 0,
0, 0, 0, 0,
0, 0, 0, 0,
0, 0, 0, 0,
0, 65.17086216, 25.0669786,
13.5485482, 8.236680033},
{0, 0, 0, 0,
0, 0, 0, 0,
0, 0, 0, 0,
0, 0, 0, 0,
0, 79.23780068, 27.15668482,
14.22381777, 8.522007982},
{0, 0, 0, 0,
0, 0, 0, 0,
0, 0, 0, 0,
0, 0, 0, 0,
0, 101.0461288, 29.62616308,
14.96981155, 8.827755611},
{0, 0, 0, 0,
0, 0, 0, 0,
0, 0, 0, 0,
0, 0, 0, 0,
0, 139.4121801, 32.58928598,
15.7982539, 9.15619583},
{0, 0, 0, 0,
0, 0, 0, 0,
0, 0, 0, 0,
0, 0, 0, 0,
0, 224.7315854, 36.21050666,
16.7236121, 9.509952019},
{0, 0, 0, 0,
0, 0, 0, 0,
0, 0, 0, 0,
0, 0, 0, 0,
0, 579.1037739, 40.73645179,
17.76394862, 9.892068009},
{0, 0, 0, 0,
0, 0, 0, 0,
0, 0, 0, 0,
0, 0, 0, 0,
0, 0, 46.55457269,
18.94211152, 10.306096},
{0, 0, 0, 0,
0, 0, 0, 0,
0, 0, 0, 0,
0, 0, 0, 0,
0, 0, 54.31039841,
20.28743221, 10.75620733},
{0, 0, 0, 0,
0, 0, 0, 0,
0, 0, 0, 0,
0, 0, 0, 0,
0, 0, 65.16534476,
21.83820022, 11.24733338},
{0, 0, 0, 0,
0, 0, 0, 0,
0, 0, 0, 0,
0, 0, 0, 0,
0, 0, 81.440737,
23.64536625, 11.7853471},
{0, 0, 0, 0,
0, 0, 0, 0,
0, 0, 0, 0,
0, 0, 0, 0,
0, 0, 108.5476488,
25.77824661, 12.3772988},
{0, 0, 0, 0,
0, 0, 0, 0,
0, 0, 0, 0,
0, 0, 0, 0,
0, 0, 162.6912583,
28.33361838, 13.03172703},
{0, 0, 0, 0,
0, 0, 0, 0,
0, 0, 0, 0,
0, 0, 0, 0,
0, 0, 324.5623832, 31.45081246,
13.75907279},
{0, 0, 0, 0,
0, 0, 0, 0,
0, 0, 0, 0,
0, 0, 0, 0,
0, 0, 62791.68001,
35.33799211, 14.57224103}};
cout << "input temp"<< endl;
cin >> t;
cout << "input the pressure"<< endl;
cin >> p;
for (i=0; i<21; i++);
for (j=0; j<75; j++)
{
if (pt[j][i]>= p)
{
p1=pt[j-1][i];
p2=pt[j][i];
break;
}
}
cout<<"p1 ="; cout<<"p2 =";
for( i = 0; i<75; i++)
for(j= 0; j<21; j++)
{
if(pt[i][j]>=t)
{
a1=pt[i][j-1];
a2=pt[i][j];
break;
}
}
cout<<"t1=";
m=(a2-a1)/5;
cout<<"t2="< cout.precision(4);
cout<<"The slope is: "< cin.get();
w=m*(t-i)+t1;
cout<<"The answer is = ";
if(p==5)
{
a = 15;
}
if(p==10)
{
a = 16;
}
if (p==15)
{
a = 17;
}
if (p==20)
{
a=18;
}
if (p==25)
{
a=19;
}
if (p==30)
{
a=20;
}
if (p==35)
{
a=21;
}
if (p==40)
{
a=22;
}
if (p==45)
{
a=23;
}
if (p==50)
{
a=24;
}
if (p==55)
{
a=25;
}
if (p==60)
{
a=26;
}
if (p==65)
{
a=27;
}
if (p==70)
{
a=28;
}
if (p==75)
{
a=29;
}
if (p==80)
{
a=30;
}
if (p==85)
{
a=31;
}
if (p==90)
{
a=32;
}
if (p==95)
{
a=33;
}
if (p==100)
{
a=34;
}
if (p==105)
{
a=35;
}
if (p ==110 )
{
a=36;
}
if (p==115)
{
a=37;
}
if (p==120)
{
a=38;
}
if (p==125)
{
a=39;
}
if (p==130)
{
a=40;
}
if (p==135)
{
a=41;
}
if (p==140)
{
a=42;
}
if (p==145)
{
a=43;
}
if (p==150)
{
a=44;
}
if (p==155)
{
a=45;
}
if (p==160)
{
a=46;
}
if (p==165)
{
a=47;
}
if (p==170)
{
a=48;
}
if (p==175)
{
a=49;
}
if (p==180)
{
a=50;
}
if (p==185)
{
a=51;
}
if (p==190)
{
a=52;
}
if (p==195)
{
a=53;
}
if (p==200)
{
a=54;
}
if (p==205)
{
a=55;
}
if (p==210)
{
a=56;
}
if (p==215)
{
a=57;
}
if (p==220)
{
a=58;
}
if (p==225)
{
a=59;
}
if (p==230)
{
a=60;
}
if (p==235)
{
a=61;
}
if (p==240)
{
a=62;
}
if (p==245)
{
a=63;
}
if (p==250)
{
a=64;
}
if (p==255)
{
a=65;
}
if (p==260)
{
a=66;
}
if (p==265)
{
a=67;
}
if (p==270)
{
a=68;
}
if (p==275)
{
a= 69;
}
if (p==280)
{
a=70;
}
if (p==285)
{
a=71;
}
if (p==290)
{
a=72;
}
if (p==295)
{
a=73;
}
if (p==300)
{
a=74;
}
if (p== 1)
{
a = 11;
}
if (p== 2)
{
a = 12;
}
if (p== 3)
{
a = 13;
}
if (p== 4)
{
a = 14;
}
if (p == 1e-1)
{
a = 10;
}
if (p == 1e-2)
{
a = 9;
}
if (p== 1e-3){
a = 8;
}
if (p== 1e-4)
{
a = 7;
}
if (p== 1e-5)
{
a = 6;
}
if (p== 1e-6)
{
a = 5;
}
if (p== 1e-7)
{
a=4;
}
if (p== 1e-8)
{
a=3;
}
if (p== 1e-9)
{
a =2;
}
if (p== 1e-10)
{
a=1;
}
b=(120+t)/5;
cout<<"the answer is : "<
return 0;
}
Homework Answers
![Answer: I have gone through the code some bugs are noticed and corrected Bug for G-0: i 21; i++) for (j=0;?j++) p2=pt[j][i] break For this code you wont get the pressure range. In your program the pt]] is arranged as 75 x 21 table. To get the pressure range use the following code, for (j=0; jZL pl-pt[i-1]0] break](http://img.homeworklib.com/questions/f3b6dfe0-2269-11eb-9b79-252eb9daaf30.png?x-oss-process=image/resize,w_560)
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