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-rw-r--r--207/Makefile18
-rw-r--r--207/README.md5
-rw-r--r--207/compile_flags.txt4
-rw-r--r--207/data111
-rw-r--r--207/data27
-rw-r--r--207/data312
-rw-r--r--207/data416
-rw-r--r--207/ex1_1.print24
-rw-r--r--207/ex1_4.print34
l---------207/include1
-rw-r--r--207/main.cpp86
-rw-r--r--207/plots.gp16
-rw-r--r--207/print.txt25
13 files changed, 259 insertions, 0 deletions
diff --git a/207/Makefile b/207/Makefile
new file mode 100644
index 0000000..17aed33
--- /dev/null
+++ b/207/Makefile
@@ -0,0 +1,18 @@
+
+CFLAGS = -std=c++2c -mavx -Iinclude -ggdb
+
+.PHONY: all run_main clean gnuplot
+
+run: gnuplot
+
+gnuplot: plots.gp run_main
+ gnuplot $< &>/dev/null
+
+run_main: main
+ ./main
+
+main: main.cpp include/*
+ $(CXX) -o $@ $< $(CFLAGS)
+
+clean:
+ rm -fr main *.png *.plot *.print
diff --git a/207/README.md b/207/README.md
new file mode 100644
index 0000000..96fd716
--- /dev/null
+++ b/207/README.md
@@ -0,0 +1,5 @@
+<!-- Шаблон для прака -->
+<!-- файлы, заканчивающиеся на .plot считаются генерируемыми и удаляются через make clean -->
+# Обработка <> прака
+
+
diff --git a/207/compile_flags.txt b/207/compile_flags.txt
new file mode 100644
index 0000000..34ae930
--- /dev/null
+++ b/207/compile_flags.txt
@@ -0,0 +1,4 @@
+-Iinclude
+-std=c++2c
+-mavx2
+
diff --git a/207/data1 b/207/data1
new file mode 100644
index 0000000..0675a6e
--- /dev/null
+++ b/207/data1
@@ -0,0 +1,11 @@
+n P T V x
+1 1110.3 289.9 35.5 ?
+2 1091.8 289.9 36.0 ?
+3 1089.9 289.9 36.5 ?
+4 1074.4 289.9 37.0 ?
+5 1062.4 289.9 37.5 ?
+6 1050.0 289.9 38.0 ?
+7 1038.8 289.9 38.5 ?
+8 1024.0 289.9 39.0 ?
+9 1012.2 289.9 39.5 ?
+10 996.5 289.9 40.0 ?
diff --git a/207/data2 b/207/data2
new file mode 100644
index 0000000..c5cabbf
--- /dev/null
+++ b/207/data2
@@ -0,0 +1,7 @@
+n P T V x
+1 991.0 298.33 40.0 ?
+2 991.0 302.84 40.5 ?
+3 991.7 305.34 41.0 ?
+4 991.2 307.78 41.5 ?
+5 991.0 310.46 42.0 ?
+6 990.8 313.57 42.5 ?
diff --git a/207/data3 b/207/data3
new file mode 100644
index 0000000..ca2ca40
--- /dev/null
+++ b/207/data3
@@ -0,0 +1,12 @@
+n P T V x
+1 990.8 315.40 43.5 ?
+2 984.6 316.42 ? ?
+3 986.8 317.22 ? ?
+4 989.2 317.98 ? ?
+5 993.0 319.17 ? ?
+6 995.3 320.04 ? ?
+7 997.1 321.03 44.0 ?
+8 998.5 322.02 ? ?
+9 1000.0 323.02 ? ?
+10 1000.0 323.85 ? ?
+11 998.0 323.91 44.5 ?
diff --git a/207/data4 b/207/data4
new file mode 100644
index 0000000..4941d5c
--- /dev/null
+++ b/207/data4
@@ -0,0 +1,16 @@
+n P T V x
+1 997.1 323.61 44.5 ?
+2 997.4 323.51 44.0 ?
+3 999.0 323.51 43.5 ?
+4 1014.2 323.48 43.0 ?
+5 1023.3 323.48 42.5 ?
+6 1037.3 323.38 42.0 ?
+7 1048.0 323.38 41.5 ?
+8 1060.0 323.35 41.0 ?
+9 1070.7 323.35 40.5 ?
+10 1083.8 323.35 40.0 ?
+11 1098.5 323.35 39.5 ?
+12 1108.8 323.35 39.0 ?
+13 1122.9 323.35 38.5 ?
+14 1139.0 323.35 38.0 ?
+15 1148.1 323.28 37.5 ?
diff --git a/207/ex1_1.print b/207/ex1_1.print
new file mode 100644
index 0000000..ec5efe0
--- /dev/null
+++ b/207/ex1_1.print
@@ -0,0 +1,24 @@
+Данные упражнения 1columns: 6, rows: 10
+_______________________________________________________________________________
+|n |P |T |V |x |nu |
+|____________|____________|____________|____________|____________|____________|
+|1 |1110.3 |289.9 |35.5 |39415.7 |16.3526 |
+|____________|____________|____________|____________|____________|____________|
+|2 |1091.8 |289.9 |36 |39304.8 |16.3066 |
+|____________|____________|____________|____________|____________|____________|
+|3 |1089.9 |289.9 |36.5 |39781.4 |16.5043 |
+|____________|____________|____________|____________|____________|____________|
+|4 |1074.4 |289.9 |37 |39752.8 |16.4925 |
+|____________|____________|____________|____________|____________|____________|
+|5 |1062.4 |289.9 |37.5 |39840 |16.5286 |
+|____________|____________|____________|____________|____________|____________|
+|6 |1050 |289.9 |38 |39900 |16.5535 |
+|____________|____________|____________|____________|____________|____________|
+|7 |1038.8 |289.9 |38.5 |39993.8 |16.5924 |
+|____________|____________|____________|____________|____________|____________|
+|8 |1024 |289.9 |39 |39936 |16.5685 |
+|____________|____________|____________|____________|____________|____________|
+|9 |1012.2 |289.9 |39.5 |39981.9 |16.5875 |
+|____________|____________|____________|____________|____________|____________|
+|10 |996.5 |289.9 |40 |39860 |16.5369 |
+|____________|____________|____________|____________|____________|____________|
diff --git a/207/ex1_4.print b/207/ex1_4.print
new file mode 100644
index 0000000..9863903
--- /dev/null
+++ b/207/ex1_4.print
@@ -0,0 +1,34 @@
+Данные упражнения 1columns: 6, rows: 15
+_______________________________________________________________________________
+|n |P |T |V |x |nu |
+|____________|____________|____________|____________|____________|____________|
+|1 |997.1 |323.61 |44.5 |44371 |16.4908 |
+|____________|____________|____________|____________|____________|____________|
+|2 |997.4 |323.51 |44 |43885.6 |16.3155 |
+|____________|____________|____________|____________|____________|____________|
+|3 |999 |323.51 |43.5 |43456.5 |16.156 |
+|____________|____________|____________|____________|____________|____________|
+|4 |1014.2 |323.48 |43 |43610.6 |16.2148 |
+|____________|____________|____________|____________|____________|____________|
+|5 |1023.3 |323.48 |42.5 |43490.2 |16.17 |
+|____________|____________|____________|____________|____________|____________|
+|6 |1037.3 |323.38 |42 |43566.6 |16.2034 |
+|____________|____________|____________|____________|____________|____________|
+|7 |1048 |323.38 |41.5 |43492 |16.1757 |
+|____________|____________|____________|____________|____________|____________|
+|8 |1060 |323.35 |41 |43460 |16.1653 |
+|____________|____________|____________|____________|____________|____________|
+|9 |1070.7 |323.35 |40.5 |43363.3 |16.1293 |
+|____________|____________|____________|____________|____________|____________|
+|10 |1083.8 |323.35 |40 |43352 |16.1251 |
+|____________|____________|____________|____________|____________|____________|
+|11 |1098.5 |323.35 |39.5 |43390.8 |16.1395 |
+|____________|____________|____________|____________|____________|____________|
+|12 |1108.8 |323.35 |39 |43243.2 |16.0846 |
+|____________|____________|____________|____________|____________|____________|
+|13 |1122.9 |323.35 |38.5 |43231.7 |16.0803 |
+|____________|____________|____________|____________|____________|____________|
+|14 |1139 |323.35 |38 |43282 |16.0991 |
+|____________|____________|____________|____________|____________|____________|
+|15 |1148.1 |323.28 |37.5 |43053.8 |16.0176 |
+|____________|____________|____________|____________|____________|____________|
diff --git a/207/include b/207/include
new file mode 120000
index 0000000..2225752
--- /dev/null
+++ b/207/include
@@ -0,0 +1 @@
+../libprakpp/include/ \ No newline at end of file
diff --git a/207/main.cpp b/207/main.cpp
new file mode 100644
index 0000000..6f606bd
--- /dev/null
+++ b/207/main.cpp
@@ -0,0 +1,86 @@
+#include <cmath>
+#include <iostream>
+#include <ranges>
+
+#include "include/praktable.hpp"
+#include "include/prakphys.hpp"
+
+using table = prak::table<f64>;
+using f64p = prak::pvalue<f64>;
+using f64v = std::vector<f64>;
+using vecarg = const std::vector<f64> &;
+using argvec = const std::vector<f64> &;
+
+f64p add_nu(table& t) {
+ t.add_column("nu").apply([](vecarg a) { return a[0] * a[1] / (prak::R<f64> * a[2]); }, {"P", "V", "T"}, "nu");
+ return {t.col_avg("nu"), t.col_stddev("nu")};
+}
+
+void ex1(table &t1, const char *name) {
+ f64 DA = prak::discrete_integral_trapezoid(t1.cbegin("V"), t1.cend("V"), t1.cbegin("P"), t1.cend("P"));
+ f64 DS = DA / t1.col_avg("T");
+ f64p nu = add_nu(t1);
+ f64p DS_teor = nu * prak::R<f64> * std::abs(std::log(*(t1.end("V")-1) / *t1.begin("V")));
+ std::cout << "Упражнение 1\n" var(DA) var(DS) var(nu) var(DS_teor) << std::endl;
+ t1.write_plot(std::string("P(V)") + name + ".plot", "V", "P", std::nullopt);
+ t1.write_plot(std::string("PV(V)") + name + ".plot", "V", "x", std::nullopt);
+ std::ofstream f(std::string("ex1_") + name + ".print");
+ f << "Данные упражнения 1";
+ t1.print(f);
+ f.close();
+}
+
+void ex2(const table &t) {
+
+}
+
+void ex3(const table &t) {
+
+}
+
+void ex4(void) {
+
+}
+
+void ex(void) {
+ table tables[] = {table("data1"), table("data2"), table("data3"), table("data4")};
+
+ // approximate how the volume should have changed in ex3 using parabola
+ std::vector<f64> mrxdata; mrxdata.reserve(9);
+ std::vector<f64> mrydata; mrydata.reserve(3);
+ for (size_t i = 0; i < tables[2].rows; ++i) {
+ if (f64 v; !std::isnan(v = tables[2]["V", i])) {
+ f64 n = tables[2]["n", i];
+ mrxdata.push_back(n*n);
+ mrxdata.push_back(n);
+ mrxdata.push_back(1);
+ mrydata.push_back(v);
+ }
+ }
+ prak::matrix<f64> xs(3, 3, std::move(mrxdata)), ys(3, 1, std::move(mrydata));
+ prak::matrix<f64> poly = xs.inv().value() * ys;
+ for (size_t i = 0; i < tables[2].rows; ++i)
+ tables[2]["V", i] = (poly.tr() * prak::matrix<f64>(3, 1, {(double)(i+1)*(i+1), (double)(i+1), 1}))[0, 0];
+
+ std::function<f64(vecarg)> fs[] = {
+ [](vecarg a) { return a[0] * a[1]; },
+ [](vecarg a) { return a[0] / a[1]; },
+ [](vecarg a) { return a[0] / a[1]; },
+ [](vecarg a) { return a[0] * a[1]; },
+ };
+ std::vector<std::string> vs[] = {
+ {"P", "V"}, {"V", "T"}, {"P", "T"}, {"P", "V"},
+ };
+ for (auto elem : std::views::zip(tables, fs, vs))
+ std::get<0>(elem).apply(std::get<1>(elem), std::get<2>(elem), "x");
+ ex1(tables[0], "1");
+ ex1(tables[3], "4");
+ ex2(tables[1]);
+ ex3(tables[2]);
+ ex4();
+}
+
+int main() {
+ ex();
+ return 0;
+}
diff --git a/207/plots.gp b/207/plots.gp
new file mode 100644
index 0000000..f197258
--- /dev/null
+++ b/207/plots.gp
@@ -0,0 +1,16 @@
+set term pngcairo size 1000, 800
+set grid
+
+#f1(x) = a1*x+b1
+#fit f1(x) '.plot' using 1:2:3 yerr via a1, b1
+
+set output ''
+set title ""
+set xlabel ""
+set ylabel ""
+set key top left
+
+#set label sprintf("A = %.4g\n B = %.4g", a1, b1) at graph 0.2, 0.9 front boxed
+#plot '.plot' using 1:2:3 with yerrorbars notitle lc 0 pt 1 lw 2, \
+# f1(x) title "" lc rgb "red"
+
diff --git a/207/print.txt b/207/print.txt
new file mode 100644
index 0000000..85be337
--- /dev/null
+++ b/207/print.txt
@@ -0,0 +1,25 @@
+columns: 5, rows: 10
+__________________________________________________________________
+|n |P |T |V |x |
+|____________|____________|____________|____________|____________|
+|1 |1110.3 |289.9 |35.5 |39415.7 |
+|____________|____________|____________|____________|____________|
+|2 |1091.8 |289.9 |36 |39304.8 |
+|____________|____________|____________|____________|____________|
+|3 |1089.9 |289.9 |36.5 |39781.4 |
+|____________|____________|____________|____________|____________|
+|4 |1074.4 |289.9 |37 |39752.8 |
+|____________|____________|____________|____________|____________|
+|5 |1062.4 |289.9 |37.5 |39840 |
+|____________|____________|____________|____________|____________|
+|6 |1050 |289.9 |38 |39900 |
+|____________|____________|____________|____________|____________|
+|7 |1038.8 |289.9 |38.5 |39993.8 |
+|____________|____________|____________|____________|____________|
+|8 |1024 |289.9 |39 |39936 |
+|____________|____________|____________|____________|____________|
+|9 |1012.2 |289.9 |39.5 |39981.9 |
+|____________|____________|____________|____________|____________|
+|10 |996.5 |289.9 |40 |39860 |
+|____________|____________|____________|____________|____________|
+