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#include "include/praktable.hpp"
#include "include/prakmath.hpp"
#include <string>
#include <unordered_map>
#include <cmath>
using RT = float;
struct wire {
RT length, diam;
bool operator==(const struct wire &other) const {
return prak::fequal(length, other.length) && prak::fequal(diam, other.diam);
}
};
template <>
struct std::hash<wire> {
std::size_t operator()(const struct wire &W) const {
return (std::hash<RT>{}(W.length) << 1) ^ std::hash<RT>{}(W.diam);
}
};
std::ostream &operator<<(std::ostream &s, const struct wire &w) {
return s << "wire {length=" << w.length << ", diam=" << w.diam << "}";
}
// args: U
// output: DU
RT D_MS8040(const std::vector<RT> &args) {
RT val = args[0];
if (val < 0.2) return 0.00001;
if (val < 2) return 0.0001;
return 0.001;
}
// args: U, DU
// output: sD
RT err_MS8040(const std::vector<RT> &args) {
return 0.0005 * args[0] + 6 * args[1];
}
// args: I
// output: DI
RT D_M830B(const std::vector<RT> &args) {
RT val = args[0];
if (val < 0.0002) return 1e-6;
if (val < 0.002) return 1e-5;
if (val < 0.020) return 1e-4;
if (val < 0.200) return 1e-3;
return 1e-3;
}
// args: I, DI
// output: sI
RT err_M830B(const std::vector<RT> &args) {
return 0.01 * args[0] + 2 * args[1];
}
void excercise1(void) {
std::unordered_map<struct wire, prak::table<RT>> map {
{{0.5, 0.00015}, prak::table<RT>{}},
{{0.5, 0.00025}, prak::table<RT>{}},
{{0.5, 0.00040}, prak::table<RT>{}},
{{1.0, 0.00015}, prak::table<RT>{}},
{{1.5, 0.00015}, prak::table<RT>{}},
};
struct prak::pvalue<RT> pho_d;
prak::table<RT> resist_d({"d", "R", "sR", "S", "1/S"}, {});
resist_d.column_width = 16;
prak::table<RT> resist_L({"L", "R", "sR", "Rho", "sRho"}, {});
std::string name_prefix = "data_";
for (auto &[index, table] : map) {
std::string filename = name_prefix
+ std::to_string((int)(10 * index.length))
+ '_'
+ std::to_string((int)(100000 * index.diam));
std::ifstream f(filename);
table.read(f);
table.column_width = 10;
table.apply(D_MS8040, {"U"}, "DU")
.apply(err_MS8040, {"U", "DU"}, "sU")
.apply(D_M830B, {"I"}, "DI")
.apply(err_M830B, {"I", "DI"}, "sI");
std::cout << index << ":\n" << table << std::endl;
if (prak::fequal<RT>(index.length, 0.5)) resist_d.add_row({index.diam, NAN, NAN, NAN, NAN});
if (prak::fequal<RT>(index.diam, 0.00015)) resist_L.add_row({index.length, NAN, NAN, NAN, NAN});
}
// LLS for L=const
for (size_t i = 0; i < resist_d.rows; ++i) {
RT diam = resist_d["d", i];
prak::table<RT> &cur = map.at({.length = 0.5, .diam = diam});
auto [a, b] = cur.least_squares_linear("U", "I", "sI");
resist_d["R", i] = 1/a.val;
resist_d["sR", i] = a.err/a.val/a.val;
std::cout << "МНК для L=const, d=" << diam << ": " << "A=" << a << "; B=" << b << std::endl;
std::ofstream outf("plot_" + std::to_string(0.5f) + "_" + std::to_string(diam) + ".data");
cur.write_plot("U", "I", "sI", outf);
}
std::ofstream rsplot("plot_r_1s.data");
resist_d
.apply([](const std::vector<RT> &args) -> RT {
return prak::PI * args[0]*args[0]/4;
}, {"d"}, "S")
.apply([](const std::vector<RT> &args) -> RT {
return 1 / (prak::PI * args[0]*args[0]/4);
}, {"d"}, "1/S")
.write_plot("1/S", "R", "sR", rsplot);
auto [rhod_a, rhod_b] = resist_d.least_squares_linear("1/S", "R", "sR");
rhod_a.val /= 0.5;
rhod_a.err /= 0.5;
std::cout << "МНК для Rho_d = " << rhod_a*2.0f << " (error = " << rhod_b*2.0f << ")" << std::endl;
std::cout << "Rho = " << rhod_a << " (error = " << rhod_b << ")" << std::endl;
// LLS for d=const
for (size_t i = 0; i < resist_L.rows; ++i) {
RT length = resist_L["L", i];
prak::table<RT> &cur = map.at({.length = length, .diam = 0.00015});
auto [a, b] = cur.least_squares_linear("U", "I", "sI");
resist_L["R", i] = 1/a.val;
resist_L["sR", i] = a.err/a.val/a.val;
std::cout << "МНК для d=const, L=" << length << ": " << "A=" << a << "; B=" << b << std::endl;
std::ofstream outf("plot_" + std::to_string(length) + "_" + std::to_string(0.00015f) + ".data");
cur.write_plot("U", "I", "sI", outf);
}
RT _d = 0.00015;
auto rho_f = [](const std::vector<RT> &args) -> RT {
return args[1] * prak::PI * args[2] * args[2] / args[0] / 4;
};
std::ofstream rlplot("plot_r_l.data");
resist_L
.apply([_d, &rho_f](const std::vector<RT> &args) {
return rho_f({args[0], args[1], _d});
}, {"L", "R"}, "Rho")
.apply([_d, &rho_f](const std::vector<RT> &args) -> RT {
return prak::sigma<RT>(rho_f, {args[0], args[1], _d}, {0, args[2], 0});
}, {"L", "R", "sR"}, "sRho")
.write_plot("L", "R", "sR", rlplot);
auto [_1, _2] = resist_L.least_squares_linear("L", "R", "sR");
RT d_15_s = 0.00015 * 0.00015 * prak::PI / 4;
std::cout << "МНК для Rho_L = " << _1 << " (error = " << _2 << ")" << std::endl;
std::cout << "Rho_L = " << _1 * d_15_s << " (error = " << _2 * d_15_s << ")" << std::endl;
// output
std::cout << resist_d << resist_L;
}
void excercise3(void) {
prak::table<RT> red, green;
{
std::ifstream red_stream("data_red"), green_stream("data_green");
red.read(red_stream);
green.read(green_stream);
}
green .apply(D_MS8040, {"U"}, "DU")
.apply(err_MS8040, {"U", "DU"}, "sU")
.apply(D_M830B, {"I"}, "DI")
.apply(err_M830B, {"I", "DI"}, "sI");
red .apply(D_MS8040, {"U"}, "DU")
.apply(err_MS8040, {"U", "DU"}, "sU")
.apply(D_M830B, {"I"}, "DI")
.apply(err_M830B, {"I", "DI"}, "sI");
{
std::ofstream red_out("plot_red.data"), green_out("plot_green.data");
red.write_plot("U", "I", "sI", red_out);
green.write_plot("U", "I", "sI", green_out);
}
std::cout << "Red: " << red << "\nGreen: " << green;
}
int main(int argc, char *argvp[]) {
excercise1();
excercise3();
}
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