From 620ee51cf430f9851efaedf7850fce7b8f24318d Mon Sep 17 00:00:00 2001 From: gr1ckly Date: Tue, 3 Jun 2025 12:04:52 +0300 Subject: [PATCH] feat: added all labs --- "\320\2403212/medvedev_409111/lab1/go.mod" | 3 + "\320\2403212/medvedev_409111/lab1/main.go" | 191 ++++++++++++++ .../medvedev_409111/lab1/matrix/matrix.go" | 110 ++++++++ ...20\274\320\260\321\202_\342\204\2261.docx" | Bin 0 -> 353080 bytes ...320\274\320\260\321\202_\342\204\2261.pdf" | Bin 0 -> 584666 bytes .../medvedev_409111/lab2/equation.go" | 122 +++++++++ .../lab2/equation_solution.go" | 80 ++++++ "\320\2403212/medvedev_409111/lab2/go.mod" | 36 +++ "\320\2403212/medvedev_409111/lab2/go.sum" | 95 +++++++ "\320\2403212/medvedev_409111/lab2/graph.go" | 206 +++++++++++++++ "\320\2403212/medvedev_409111/lab2/main.go" | 132 ++++++++++ ...320\274\320\260\321\202_\342\204\2262.pdf" | Bin 0 -> 1235898 bytes .../lab2/simple_eq_controller.go" | 204 +++++++++++++++ .../lab2/sys_eq_controller.go" | 133 ++++++++++ .../medvedev_409111/lab2/system_equation.go" | 72 ++++++ "\320\2403212/medvedev_409111/lab3/go.mod" | 3 + "\320\2403212/medvedev_409111/lab3/input.go" | 87 +++++++ .../medvedev_409111/lab3/integral.go" | 46 ++++ "\320\2403212/medvedev_409111/lab3/main.go" | 29 +++ ...320\274\320\260\321\202_\342\204\2263.pdf" | Bin 0 -> 1029635 bytes .../lab3/solution_integrals.go" | 110 ++++++++ .../medvedev_409111/lab4/approximate.go" | 234 ++++++++++++++++++ "\320\2403212/medvedev_409111/lab4/go.mod" | 20 ++ "\320\2403212/medvedev_409111/lab4/go.sum" | 51 ++++ .../medvedev_409111/lab4/graphic.go" | 45 ++++ .../medvedev_409111/lab4/input_output.go" | 140 +++++++++++ "\320\2403212/medvedev_409111/lab4/main.go" | 175 +++++++++++++ ...320\274\320\260\321\202_\342\204\2264.pdf" | Bin 0 -> 227758 bytes "\320\2403212/medvedev_409111/lab4/utils.go" | 74 ++++++ "\320\2403212/medvedev_409111/lab5/go.mod" | 20 ++ "\320\2403212/medvedev_409111/lab5/go.sum" | 51 ++++ .../medvedev_409111/lab5/graphic.go" | 102 ++++++++ "\320\2403212/medvedev_409111/lab5/input.go" | 149 +++++++++++ .../medvedev_409111/lab5/interpolation.go" | 57 +++++ "\320\2403212/medvedev_409111/lab5/main.go" | 81 ++++++ ...320\274\320\260\321\202_\342\204\2265.pdf" | Bin 0 -> 647124 bytes "\320\2403212/medvedev_409111/lab5/utils.go" | 53 ++++ "\320\2403212/medvedev_409111/lab6/go.mod" | 20 ++ "\320\2403212/medvedev_409111/lab6/go.sum" | 51 ++++ .../medvedev_409111/lab6/graphic.go" | 54 ++++ .../medvedev_409111/lab6/input_output.go" | 86 +++++++ "\320\2403212/medvedev_409111/lab6/main.go" | 45 ++++ "\320\2403212/medvedev_409111/lab6/model.go" | 60 +++++ ...320\274\320\260\321\202_\342\204\2266.pdf" | Bin 0 -> 287278 bytes .../medvedev_409111/lab6/solution.go" | 133 ++++++++++ 45 files changed, 3360 insertions(+) create mode 100644 "\320\2403212/medvedev_409111/lab1/go.mod" create mode 100644 "\320\2403212/medvedev_409111/lab1/main.go" create mode 100644 "\320\2403212/medvedev_409111/lab1/matrix/matrix.go" create mode 100644 "\320\2403212/medvedev_409111/lab1/reports/\320\222\321\213\321\207\320\274\320\260\321\202_\342\204\2261.docx" create mode 100644 "\320\2403212/medvedev_409111/lab1/reports/\320\222\321\213\321\207\320\274\320\260\321\202_\342\204\2261.pdf" create mode 100644 "\320\2403212/medvedev_409111/lab2/equation.go" create mode 100644 "\320\2403212/medvedev_409111/lab2/equation_solution.go" create mode 100644 "\320\2403212/medvedev_409111/lab2/go.mod" create mode 100644 "\320\2403212/medvedev_409111/lab2/go.sum" create mode 100644 "\320\2403212/medvedev_409111/lab2/graph.go" create mode 100644 "\320\2403212/medvedev_409111/lab2/main.go" create mode 100644 "\320\2403212/medvedev_409111/lab2/reports/\320\222\321\213\321\207\320\274\320\260\321\202_\342\204\2262.pdf" create mode 100644 "\320\2403212/medvedev_409111/lab2/simple_eq_controller.go" create mode 100644 "\320\2403212/medvedev_409111/lab2/sys_eq_controller.go" create mode 100644 "\320\2403212/medvedev_409111/lab2/system_equation.go" create mode 100644 "\320\2403212/medvedev_409111/lab3/go.mod" create mode 100644 "\320\2403212/medvedev_409111/lab3/input.go" create mode 100644 "\320\2403212/medvedev_409111/lab3/integral.go" create mode 100644 "\320\2403212/medvedev_409111/lab3/main.go" create mode 100644 "\320\2403212/medvedev_409111/lab3/reports/\320\222\321\213\321\207\320\274\320\260\321\202_\342\204\2263.pdf" create mode 100644 "\320\2403212/medvedev_409111/lab3/solution_integrals.go" create mode 100644 "\320\2403212/medvedev_409111/lab4/approximate.go" create mode 100644 "\320\2403212/medvedev_409111/lab4/go.mod" create mode 100644 "\320\2403212/medvedev_409111/lab4/go.sum" create mode 100644 "\320\2403212/medvedev_409111/lab4/graphic.go" create mode 100644 "\320\2403212/medvedev_409111/lab4/input_output.go" create mode 100644 "\320\2403212/medvedev_409111/lab4/main.go" create mode 100644 "\320\2403212/medvedev_409111/lab4/reports/\320\222\321\213\321\207\320\274\320\260\321\202_\342\204\2264.pdf" create mode 100644 "\320\2403212/medvedev_409111/lab4/utils.go" create mode 100644 "\320\2403212/medvedev_409111/lab5/go.mod" create mode 100644 "\320\2403212/medvedev_409111/lab5/go.sum" create mode 100644 "\320\2403212/medvedev_409111/lab5/graphic.go" create mode 100644 "\320\2403212/medvedev_409111/lab5/input.go" create mode 100644 "\320\2403212/medvedev_409111/lab5/interpolation.go" create mode 100644 "\320\2403212/medvedev_409111/lab5/main.go" create mode 100644 "\320\2403212/medvedev_409111/lab5/reports/\320\222\321\213\321\207\320\274\320\260\321\202_\342\204\2265.pdf" create mode 100644 "\320\2403212/medvedev_409111/lab5/utils.go" create mode 100644 "\320\2403212/medvedev_409111/lab6/go.mod" create mode 100644 "\320\2403212/medvedev_409111/lab6/go.sum" create mode 100644 "\320\2403212/medvedev_409111/lab6/graphic.go" create mode 100644 "\320\2403212/medvedev_409111/lab6/input_output.go" create mode 100644 "\320\2403212/medvedev_409111/lab6/main.go" create mode 100644 "\320\2403212/medvedev_409111/lab6/model.go" create mode 100644 "\320\2403212/medvedev_409111/lab6/reports/\320\222\321\213\321\207\320\274\320\260\321\202_\342\204\2266.pdf" create mode 100644 "\320\2403212/medvedev_409111/lab6/solution.go" diff --git "a/\320\2403212/medvedev_409111/lab1/go.mod" "b/\320\2403212/medvedev_409111/lab1/go.mod" new file mode 100644 index 0000000..1068dcb --- /dev/null +++ "b/\320\2403212/medvedev_409111/lab1/go.mod" @@ -0,0 +1,3 @@ +module Lab_1 + +go 1.23 diff --git "a/\320\2403212/medvedev_409111/lab1/main.go" "b/\320\2403212/medvedev_409111/lab1/main.go" new file mode 100644 index 0000000..5d6ec07 --- /dev/null +++ "b/\320\2403212/medvedev_409111/lab1/main.go" @@ -0,0 +1,191 @@ +package main + +import ( + matrix2 "Lab_1/matrix" + "bufio" + "fmt" + "math/rand" + "os" + "strconv" + "strings" + "time" +) + +func main() { + var size, maxIter int + var accuracy float64 + var isFile bool + var isRandom bool + reader, file, readerErr := getReader() + if file != nil { + defer file.Close() + isFile = true + } else { + isFile = false + } + if readerErr != nil { + fmt.Println(readerErr.Error()) + return + } + var line string + var splitline []string + if !isFile { + fmt.Print("Введите размер матрицы: ") + } + line, err := reader.ReadString('\n') + if err != nil { + fmt.Println(err.Error()) + return + } + size, err = strconv.Atoi(strings.TrimSpace(line)) + if err != nil { + fmt.Println(err.Error()) + } + data := make([][]float64, size) + vecB := make([]float64, size) + if !isFile { + fmt.Print("Введите любой символ если хотите заполнить матрицу случайными числами: ") + line, err = reader.ReadString('\n') + line = line[:len(line)-1] + if line != "" { + rand.Seed(time.Now().UnixNano()) + for i := 0; i < size; i++ { + data[i] = make([]float64, size) + for j := 0; j < size; j++ { + data[i][j] = rand.Float64() * 100 + } + } + for i := 0; i < size; i++ { + vecB[i] = rand.Float64() + } + isRandom = true + } else { + isRandom = false + } + } + if !isRandom { + if !isFile { + fmt.Println("Введите матрицу:") + } + for i := 0; i < size; i++ { + data[i] = make([]float64, size) + line, err = reader.ReadString('\n') + if err != nil { + fmt.Println(err.Error()) + return + } + splitline = strings.Split(strings.TrimSpace(line), " ") + if len(splitline) != size { + fmt.Printf("Длина %d строки матрицы некорректна\n", i+1) + } + for j := 0; j < size; j++ { + data[i][j], err = strconv.ParseFloat(splitline[j], 64) + if err != nil { + fmt.Println(err.Error()) + return + } + } + } + if !isFile { + fmt.Println("Введите вектор b: ") + } + line, err = reader.ReadString('\n') + if err != nil { + fmt.Println(err.Error()) + return + } + splitline = strings.Split(strings.TrimSpace(line), " ") + if len(splitline) != size { + fmt.Println("Некорректное количество элементов для вектора b") + return + } + for i := 0; i < size; i++ { + vecB[i], err = strconv.ParseFloat(splitline[i], 64) + if err != nil { + fmt.Println(err.Error()) + return + } + } + } + if !isFile { + fmt.Print("Введите максимальное количество итераций: ") + } + line, err = reader.ReadString('\n') + if err != nil { + fmt.Println(err.Error()) + return + } + maxIter, err = strconv.Atoi(strings.TrimSpace(line)) + if err != nil { + fmt.Println(err.Error()) + return + } + if !isFile { + fmt.Print("Введите точность: ") + } + line, err = reader.ReadString('\n') + if err != nil { + fmt.Println(err.Error()) + return + } + accuracy, err = strconv.ParseFloat(strings.TrimSpace(line), 64) + if err != nil { + fmt.Println(err.Error()) + return + } + matrix := matrix2.BuildMatrix(size, maxIter, data, vecB, accuracy) + if isRandom { + fmt.Println("Сгенерированная матрица: ") + fmt.Println(matrix.StringMatrix()) + } + if matrix.MakeDiagonallyDominant() { + fmt.Println("Диагональное преобразование найдено:") + fmt.Println(matrix.StringMatrix()) + } else { + fmt.Println("Диагональное преобразование невозможно") + } + fmt.Printf("Норма матрицы: %f\n", matrix.Norm()) + x, iter, errors, err := matrix.GaussSeidel() + if err != nil { + fmt.Println(err.Error()) + fmt.Println("Отклонения: ") + for i := 0; i < size; i++ { + fmt.Println(errors[i]) + } + return + } + fmt.Printf("Решено за %d итераций\n", iter) + fmt.Println("Отклонения: ") + for i := 0; i < size; i++ { + fmt.Println(errors[i]) + } + fmt.Println("Решение: ") + for i := 0; i < size; i++ { + fmt.Println(x[i]) + } +} + +func getReader() (*bufio.Reader, *os.File, error) { + var line string + stdin := bufio.NewReader(os.Stdin) + fmt.Print("Введите любой символ, если хотите ввести данные из файла: ") + line, err := stdin.ReadString('\n') + line = line[:len(line)-1] + if err != nil { + return nil, nil, err + } + if line == "" { + return bufio.NewReader(stdin), nil, nil + } + fmt.Print("Введите название файла: ") + line, err = stdin.ReadString('\n') + line = line[:len(line)-1] + if err != nil { + return nil, nil, err + } + file, err := os.Open(line) + if err != nil { + return nil, nil, err + } + return bufio.NewReader(file), file, nil +} diff --git "a/\320\2403212/medvedev_409111/lab1/matrix/matrix.go" "b/\320\2403212/medvedev_409111/lab1/matrix/matrix.go" new file mode 100644 index 0000000..1fa79bd --- /dev/null +++ "b/\320\2403212/medvedev_409111/lab1/matrix/matrix.go" @@ -0,0 +1,110 @@ +package matrix + +import ( + "fmt" + "math" +) + +type Matrix struct { + size, maxIter int + data [][]float64 + vecB []float64 + accuracy float64 +} + +func BuildMatrix(size, maxIter int, data [][]float64, vecB []float64, accuracy float64) *Matrix { + matrix := &Matrix{size, maxIter, data, vecB, accuracy} + return matrix +} + +func (matrix *Matrix) IsDiagonallyDominant() bool { + for i := 0; i < matrix.size; i++ { + sum := 0.0 + for j := 0; j < matrix.size; j++ { + if i != j { + sum += math.Abs(matrix.data[i][j]) + } + } + if math.Abs(matrix.data[i][i]) <= sum { + return false + } + } + return true +} + +func (matrix *Matrix) MakeDiagonallyDominant() bool { + for i := 0; i < matrix.size; i++ { + maxRow := i + maxVal := math.Abs(matrix.data[i][i]) + for k := i + 1; k < matrix.size; k++ { + if math.Abs(matrix.data[k][i]) > maxVal { + maxVal = math.Abs(matrix.data[k][i]) + maxRow = k + } + } + if maxRow != i { + matrix.data[i], matrix.data[maxRow] = matrix.data[maxRow], matrix.data[i] + matrix.vecB[i], matrix.vecB[maxRow] = matrix.vecB[maxRow], matrix.vecB[i] + } + } + if matrix.IsDiagonallyDominant() { + return true + } else { + return false + } +} + +func (matrix *Matrix) StringMatrix() string { + ans := "" + for i := 0; i < matrix.size; i++ { + for j := 0; j < matrix.size; j++ { + ans += fmt.Sprintf("%v", matrix.data[i][j]) + " " + } + ans += fmt.Sprintf("%v", matrix.vecB[i]) + string('\n') + } + return ans[:len(ans)-1] +} + +func (matrix *Matrix) GaussSeidel() ([]float64, int, []float64, error) { + x := make([]float64, matrix.size) + for idx, _ := range x { + x[idx] = matrix.vecB[idx] / matrix.data[idx][idx] + } + errors := make([]float64, matrix.size) + + for iter := 0; iter < matrix.maxIter; iter++ { + maxDiff := 0.0 + for i := 0; i < matrix.size; i++ { + sum := 0.0 + for j := 0; j < matrix.size; j++ { + if j != i { + sum += matrix.data[i][j] * x[j] + } + } + newX := float64(matrix.vecB[i]-sum) / float64(matrix.data[i][i]) + errors[i] = math.Abs(newX - x[i]) + if errors[i] > maxDiff { + maxDiff = errors[i] + } + x[i] = newX + } + if maxDiff <= matrix.accuracy { + return x, iter + 1, errors, nil + } + } + return nil, matrix.maxIter, errors, fmt.Errorf("Решения за %d итераций при указанной точности не найдено\n", matrix.maxIter) +} + +func (matrix *Matrix) Norm() float64 { + maxNorm := 0.0 + for _, row := range matrix.data { + sum := 0.0 + for _, val := range row { + sum += math.Abs(val) + } + if sum > maxNorm { + maxNorm = sum + } + } + return maxNorm +} diff --git "a/\320\2403212/medvedev_409111/lab1/reports/\320\222\321\213\321\207\320\274\320\260\321\202_\342\204\2261.docx" 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z=zrh^3dNQm6pAf-C=8CJHz*v_4*_dIfUw&k{$o7ke~gFvkMYp|F&-LwJRk;O%?kr# zj|YQbj|T(XBBqXD(Ek_@%kKhL_~0Ncy}{r}EW7}53k#DlB#Gz=@30w4*+@>ggW3QMMd+OX$9V#h%=8Z*y^0%;eFZ>6V#YTZ5F9aM zBS1r9#%W+r49CO}43G+@j$m*gZ^DojKto}z83?~f3|#`dEhHvhU;tjw7&Zt<0E8K5 z02)?2f+1mGtnpBAtUM8h0?rgL{5?QJV)|zo3fMYh*wLR%1(RQZ_RpE;-}ya2gJH%G zI0#5LFmwqA%ndVE05q)p1)yQ&W^gb9gt?D2%HswG4siPj!-asBA`hy)*NtPi-TcX ze@>Aw_kM6V9E`c|fg^zBVe$*4K3F*TljmUa3(Nq)>87u)F-*@47mh zKDM)T{&R$`@z~4qpEEb12M!Ldtl&SU|K|kxpI27@`5QQ)b8$6wcKzpk4oF{tJstrk Kr?jdJ!T$paiyY?w literal 0 HcmV?d00001 diff --git "a/\320\2403212/medvedev_409111/lab2/equation.go" "b/\320\2403212/medvedev_409111/lab2/equation.go" new file mode 100644 index 0000000..f9b1c43 --- /dev/null +++ "b/\320\2403212/medvedev_409111/lab2/equation.go" @@ -0,0 +1,122 @@ +package main + +import ( + "errors" + "math" +) + +type Equation struct { + fn func(float64) float64 + diff func(float64) float64 + fi func(float64) float64 + checkConvergence func(float64, float64) bool + checkRoots func(float64, float64) bool + roots []float64 +} + +func GetEquation(number int) (*Equation, error) { + switch number { + case 1: + { + roots := []float64{-1.15624, 0.629971, 2.41627} + fn := func(x float64) float64 { + return math.Pow(x, 3.0) - 1.89*math.Pow(x, 2.0) - 2.0*x + 1.76 + } + diff := func(x float64) float64 { + return 2*math.Pow(x, 2.0) - 3.78*x - 2 + } + fi := func(x float64) float64 { + return math.Pow(x, 3.0)*0.5 - 0.945*math.Pow(x, 2.0) + 1.76 + } + check := func(a float64, b float64) bool { + if a > b || a <= -1*math.Sqrt(2/3*2.89) || b >= math.Sqrt(2/3*2.89) { + return false + } + return true + } + checkRoot := func(a float64, b float64) bool { + countRoots := 0 + for _, x := range roots { + if a <= x && b >= x { + countRoots += 1 + } + } + if countRoots != 1 { + return false + } + return true + } + return &Equation{fn, diff, fi, check, checkRoot, roots}, nil + } + case 2: + roots := []float64{-1.24967, 0.508787, 3.86589} + fn := func(x float64) float64 { + return math.Pow(x, 3.0) - 3.125*math.Pow(x, 2.0) - 3.5*x + 2.458 + } + diff := func(x float64) float64 { + return 3*math.Pow(x, 2.0) - 6.25*x - 3.5 + } + fi := func(x float64) float64 { + return (math.Pow(x, 3.0) - 3.125*math.Pow(x, 2.0) + 2.458) / 3.5 + } + check := func(a float64, b float64) bool { + if a > b || a <= -0.46 || b >= 2.54 { + return false + } + return true + } + checkRoot := func(a float64, b float64) bool { + countRoots := 0 + for _, x := range roots { + if a <= x && b >= x { + countRoots += 1 + } + } + if countRoots != 1 { + return false + } + return true + } + return &Equation{fn, diff, fi, check, checkRoot, roots}, nil + case 3: + { + roots := []float64{-1.35672, 0.254703, 2.47424} + fn := func(x float64) float64 { + return 1.8*math.Pow(x, 3.0) - 2.47*math.Pow(x, 2.0) - 5.53*x + 1.539 + } + diff := func(x float64) float64 { + return 5.4*math.Pow(x, 2.0) - 4.94*x - 5.53 + } + fi := func(x float64) float64 { + return 1.8/5.53*math.Pow(x, 3.0) - 2.47/5.53*math.Pow(x, 2.0) + 1.539/5.53 + } + check := func(a float64, b float64) bool { + if a > b || a <= -1.31 || b >= 3.14 { + return true + } + return true + } + checkRoot := func(a float64, b float64) bool { + countRoots := 0 + for _, x := range roots { + if a <= x && b >= x { + countRoots += 1 + } + } + if countRoots != 1 { + return false + } + return true + } + return &Equation{fn, diff, fi, check, checkRoot, roots}, nil + } + } + return nil, errors.New("Неверный номер уравнения") +} +func GetEqMap() map[int]string { + return map[int]string{ + 1: "x^3 - 1.89x^2 - 2x + 1.76 = 0", + 2: "x^3 - 3.125x^2 - 3.5x + 2.458 = 0", + 3: "1.8x^3 - 2.47x^2 - 5.53x + 1.539 = 0", + } +} diff --git "a/\320\2403212/medvedev_409111/lab2/equation_solution.go" "b/\320\2403212/medvedev_409111/lab2/equation_solution.go" new file mode 100644 index 0000000..fa53713 --- /dev/null +++ "b/\320\2403212/medvedev_409111/lab2/equation_solution.go" @@ -0,0 +1,80 @@ +package main + +import ( + "errors" + "math" +) + +func Bisection(eq *Equation, a, b, eps float64) (float64, int, error) { + if eq.fn(a)*eq.fn(b) > 0 { + return 0, 0, errors.New("Функция на концах отрезка имеет одинаковый знак.") + } + var c float64 + iterations := 0 + for (b-a)/2 > eps { + c = (a + b) / 2 + if eq.fn(c) == 0 { + break + } else if eq.fn(a)*eq.fn(c) < 0 { + b = c + } else { + a = c + } + iterations++ + } + return c, iterations, nil +} + +func Newton(eq *Equation, x0, eps float64) (float64, int, error) { + x := x0 + iterations := 0 + for math.Abs(eq.fn(x)) > eps { + if eq.diff(x) == 0 { + return 0, 0, errors.New("Производная равна нулю, метод не применим") + } + x = x - eq.fn(x)/eq.diff(x) + iterations++ + } + return x, iterations, nil +} + +func SimpleIteration(eq *Equation, x0, eps float64) (float64, int) { + x := x0 + iterations := 0 + xPrev := x0 + 1 + for math.Abs(x-xPrev) > eps { + xPrev = x + x = eq.fi(xPrev) + iterations++ + } + return x, iterations +} + +func NewtonMethod(sysEq *SystemEquation, x0, y0 float64, eps float64, maxIter int) (float64, float64, int, float64, error) { + x, y := x0, y0 + for i := 1; i <= maxIter; i++ { + F1 := sysEq.fn1(x, y) + F2 := sysEq.fn2(x, y) + diff11 := sysEq.diff11(x, y) + diff12 := sysEq.diff12(x, y) + diff21 := sysEq.diff21(x, y) + diff22 := sysEq.diff22(x, y) + detJ := diff11*diff22 - diff12*diff21 + if math.Abs(detJ) < 1e-10 { + return 0, 0, i, 0, errors.New("Якобиан вырожден, метод Ньютона не применим") + } + dx := (F2*diff12 - F1*diff22) / detJ + dy := (F1*diff21 - F2*diff11) / detJ + xNew := x + dx + yNew := y + dy + errX := math.Abs(xNew - x) + errY := math.Abs(yNew - y) + errorVal := math.Max(math.Abs(dx), math.Abs(dy)) + if errX < eps && errY < eps { + return xNew, yNew, i, errorVal, nil + } + x, y = xNew, yNew + } + + return x, y, maxIter, math.Max(math.Abs(x-x0), math.Abs(y-y0)), errors.New("Метод не сошелся за указанное число итераций") +} diff --git "a/\320\2403212/medvedev_409111/lab2/go.mod" "b/\320\2403212/medvedev_409111/lab2/go.mod" new file mode 100644 index 0000000..bba2619 --- /dev/null +++ "b/\320\2403212/medvedev_409111/lab2/go.mod" @@ -0,0 +1,36 @@ +module Lab_2 + +go 1.23.0 + +toolchain go1.23.6 + +require ( + gioui.org v0.2.0 // indirect + gioui.org/cpu v0.0.0-20220412190645-f1e9e8c3b1f7 // indirect + gioui.org/shader v1.0.6 // indirect + gioui.org/x v0.2.0 // indirect + git.sr.ht/~sbinet/gg v0.6.0 // indirect + github.com/ajstarks/svgo v0.0.0-20211024235047-1546f124cd8b // indirect + github.com/andybalholm/stroke v0.0.0-20221221101821-bd29b49d73f0 // indirect + github.com/campoy/embedmd v1.0.0 // indirect + github.com/faiface/glhf v0.0.0-20181018222622-82a6317ac380 // indirect + github.com/faiface/mainthread v0.0.0-20171120011319-8b78f0a41ae3 // indirect + github.com/faiface/pixel v0.10.0 // indirect + github.com/go-fonts/liberation v0.3.3 // indirect + github.com/go-gl/gl v0.0.0-20190320180904-bf2b1f2f34d7 // indirect + github.com/go-gl/glfw/v3.3/glfw v0.0.0-20231223183121-56fa3ac82ce7 // indirect + github.com/go-gl/mathgl v0.0.0-20190416160123-c4601bc793c7 // indirect + github.com/go-latex/latex v0.0.0-20240709081214-31cef3c7570e // indirect + github.com/go-pdf/fpdf v0.9.0 // indirect + github.com/go-text/typesetting v0.0.0-20230803102845-24e03d8b5372 // indirect + github.com/golang/freetype v0.0.0-20170609003504-e2365dfdc4a0 // indirect + github.com/pkg/errors v0.9.1 // indirect + github.com/pmezard/go-difflib v1.0.0 // indirect + golang.org/x/exp v0.0.0-20241009180824-f66d83c29e7c // indirect + golang.org/x/exp/shiny v0.0.0-20241009180824-f66d83c29e7c // indirect + golang.org/x/image v0.25.0 // indirect + golang.org/x/sys v0.26.0 // indirect + golang.org/x/text v0.23.0 // indirect + gonum.org/v1/plot v0.15.0 // indirect + rsc.io/pdf v0.1.1 // indirect +) diff --git "a/\320\2403212/medvedev_409111/lab2/go.sum" "b/\320\2403212/medvedev_409111/lab2/go.sum" new file mode 100644 index 0000000..0a8eb6c --- /dev/null +++ "b/\320\2403212/medvedev_409111/lab2/go.sum" @@ -0,0 +1,95 @@ +gioui.org v0.2.0 h1:RbzDn1h/pCVf/q44ImQSa/J3MIFpY3OWphzT/Tyei+w= +gioui.org v0.2.0/go.mod h1:1H72sKEk/fNFV+l0JNeM2Dt3co3Y4uaQcD+I+/GQ0e4= +gioui.org/cpu v0.0.0-20210808092351-bfe733dd3334/go.mod h1:A8M0Cn5o+vY5LTMlnRoK3O5kG+rH0kWfJjeKd9QpBmQ= +gioui.org/cpu v0.0.0-20220412190645-f1e9e8c3b1f7 h1:tNJdnP5CgM39PRc+KWmBRRYX/zJ+rd5XaYxY5d5veqA= +gioui.org/cpu v0.0.0-20220412190645-f1e9e8c3b1f7/go.mod h1:A8M0Cn5o+vY5LTMlnRoK3O5kG+rH0kWfJjeKd9QpBmQ= +gioui.org/shader v1.0.6 h1:cvZmU+eODFR2545X+/8XucgZdTtEjR3QWW6W65b0q5Y= +gioui.org/shader v1.0.6/go.mod h1:mWdiME581d/kV7/iEhLmUgUK5iZ09XR5XpduXzbePVM= +gioui.org/x v0.2.0 h1:/MbdjKH19F16auv19UiQxli2n6BYPw7eyh9XBOTgmEw= +gioui.org/x v0.2.0/go.mod h1:rCGN2nZ8ZHqrtseJoQxCMZpt2xrZUrdZ2WuMRLBJmYs= +git.sr.ht/~sbinet/gg v0.6.0 h1:RIzgkizAk+9r7uPzf/VfbJHBMKUr0F5hRFxTUGMnt38= +git.sr.ht/~sbinet/gg v0.6.0/go.mod h1:uucygbfC9wVPQIfrmwM2et0imr8L7KQWywX0xpFMm94= +github.com/BurntSushi/toml v0.3.1/go.mod h1:xHWCNGjB5oqiDr8zfno3MHue2Ht5sIBksp03qcyfWMU= +github.com/ajstarks/deck v0.0.0-20200831202436-30c9fc6549a9/go.mod h1:JynElWSGnm/4RlzPXRlREEwqTHAN3T56Bv2ITsFT3gY= +github.com/ajstarks/deck/generate v0.0.0-20210309230005-c3f852c02e19/go.mod h1:T13YZdzov6OU0A1+RfKZiZN9ca6VeKdBdyDV+BY97Tk= +github.com/ajstarks/svgo v0.0.0-20211024235047-1546f124cd8b h1:slYM766cy2nI3BwyRiyQj/Ud48djTMtMebDqepE95rw= +github.com/ajstarks/svgo v0.0.0-20211024235047-1546f124cd8b/go.mod h1:1KcenG0jGWcpt8ov532z81sp/kMMUG485J2InIOyADM= +github.com/andybalholm/stroke v0.0.0-20221221101821-bd29b49d73f0 h1:uF5Q/hWnDU1XZeT6CsrRSxHLroUSEYYO3kgES+yd+So= +github.com/andybalholm/stroke v0.0.0-20221221101821-bd29b49d73f0/go.mod h1:ccdDYaY5+gO+cbnQdFxEXqfy0RkoV25H3jLXUDNM3wg= +github.com/campoy/embedmd v1.0.0 h1:V4kI2qTJJLf4J29RzI/MAt2c3Bl4dQSYPuflzwFH2hY= +github.com/campoy/embedmd v1.0.0/go.mod h1:oxyr9RCiSXg0M3VJ3ks0UGfp98BpSSGr0kpiX3MzVl8= +github.com/davecgh/go-spew v1.1.0/go.mod h1:J7Y8YcW2NihsgmVo/mv3lAwl/skON4iLHjSsI+c5H38= +github.com/faiface/glhf v0.0.0-20181018222622-82a6317ac380 h1:FvZ0mIGh6b3kOITxUnxS3tLZMh7yEoHo75v3/AgUqg0= +github.com/faiface/glhf v0.0.0-20181018222622-82a6317ac380/go.mod h1:zqnPFFIuYFFxl7uH2gYByJwIVKG7fRqlqQCbzAnHs9g= +github.com/faiface/mainthread v0.0.0-20171120011319-8b78f0a41ae3 h1:baVdMKlASEHrj19iqjARrPbaRisD7EuZEVJj6ZMLl1Q= +github.com/faiface/mainthread v0.0.0-20171120011319-8b78f0a41ae3/go.mod h1:VEPNJUlxl5KdWjDvz6Q1l+rJlxF2i6xqDeGuGAxa87M= +github.com/faiface/pixel v0.10.0 h1:EHm3ZdQw2Ck4y51cZqFfqQpwLqNHOoXwbNEc9Dijql0= +github.com/faiface/pixel v0.10.0/go.mod h1:lU0YYcW77vL0F1CG8oX51GXurymL45MXd57otHNLK7A= +github.com/go-fonts/liberation v0.3.3 h1:tM/T2vEOhjia6v5krQu8SDDegfH1SfXVRUNNKpq0Usk= +github.com/go-fonts/liberation v0.3.3/go.mod h1:eUAzNRuJnpSnd1sm2EyloQfSOT79pdw7X7++Ri+3MCU= +github.com/go-gl/gl v0.0.0-20190320180904-bf2b1f2f34d7 h1:SCYMcCJ89LjRGwEa0tRluNRiMjZHalQZrVrvTbPh+qw= +github.com/go-gl/gl v0.0.0-20190320180904-bf2b1f2f34d7/go.mod h1:482civXOzJJCPzJ4ZOX/pwvXBWSnzD4OKMdH4ClKGbk= 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+gonum.org/v1/plot v0.15.0/go.mod h1:3Nx4m77J4T/ayr/b8dQ8uGRmZF6H3eTqliUExDrQHnM= +honnef.co/go/tools v0.1.3/go.mod h1:NgwopIslSNH47DimFoV78dnkksY2EFtX0ajyb3K/las= +rsc.io/pdf v0.1.1 h1:k1MczvYDUvJBe93bYd7wrZLLUEcLZAuF824/I4e5Xr4= +rsc.io/pdf v0.1.1/go.mod h1:n8OzWcQ6Sp37PL01nO98y4iUCRdTGarVfzxY20ICaU4= diff --git "a/\320\2403212/medvedev_409111/lab2/graph.go" "b/\320\2403212/medvedev_409111/lab2/graph.go" new file mode 100644 index 0000000..f798668 --- /dev/null +++ "b/\320\2403212/medvedev_409111/lab2/graph.go" @@ -0,0 +1,206 @@ +package main + +import ( + "fmt" + "git.sr.ht/~sbinet/gg" + "github.com/faiface/pixel" + "github.com/faiface/pixel/pixelgl" + "image/color" + "log" + "math" + "strconv" +) + +const width, height = 600, 600 + +func DrawGraphic(cancel <-chan struct{}, eq ...*Equation) { + dc := gg.NewContext(width, height) + dc.SetColor(color.White) + dc.Clear() + dc.SetColor(color.Black) + dc.SetLineWidth(1) + dc.DrawLine(0, height/2, width, height/2) + dc.DrawLine(width/2, 0, width/2, height) + dc.Stroke() + const tickCount = 10 + xStep := float64(width) / float64(tickCount) + yStep := float64(height) / float64(tickCount) + for i := 0; i <= tickCount; i++ { + x := float64(i) * xStep + label := strconv.Itoa(i - tickCount/2) + dc.DrawStringAnchored(label, x, height/2+15, 0.5, 0.5) + } + for i := 0; i <= tickCount; i++ { + y := float64(i) * yStep + label := strconv.Itoa(tickCount/2 - i) + dc.DrawStringAnchored(label, width/2-15, y, 0.5, 0.5) + } + colors := []color.Color{ + color.RGBA{255, 0, 0, 255}, + color.RGBA{0, 255, 0, 255}, + color.RGBA{0, 0, 255, 255}, + color.RGBA{255, 165, 0, 255}, + } + for i, equation := range eq { + dc.SetColor(colors[i%len(colors)]) + dc.SetLineWidth(2) + prevX, prevY := 0.0, 0.0 + firstPoint := true + for px := 1; px <= width; px++ { + x := (float64(px) * 10 / float64(width)) - 5 + y := equation.fn(x) + if math.IsNaN(y) || math.IsInf(y, 0) { + firstPoint = true + continue + } + screenX := float64(px) + screenY := height/2 - (y * 40) + if firstPoint { + prevX, prevY = screenX, screenY + firstPoint = false + continue + } + dc.DrawLine(prevX, prevY, screenX, screenY) + prevX, prevY = screenX, screenY + } + dc.Stroke() + dc.SetColor(color.RGBA{0, 0, 0, 255}) + for _, root := range equation.roots { + px := int(((root + 5) / 10) * float64(width)) + py := int(height / 2) + dc.DrawCircle(float64(px), float64(py), 3) + dc.Fill() + label := fmt.Sprintf("(%.2f, 0)", root) + dc.SetColor(color.Black) + dc.DrawStringAnchored(label, float64(px)+10, float64(py)-10, 0.5, 0.5) + } + } + + pixelgl.Run(func() { + cfg := pixelgl.WindowConfig{ + Title: "График уравнения", + Bounds: pixel.R(0, 0, width, height), + VSync: true, + } + win, err := pixelgl.NewWindow(cfg) + if err != nil { + log.Fatal(err) + return + } + pic := pixel.PictureDataFromImage(dc.Image()) + sprite := pixel.NewSprite(pic, pic.Bounds()) + for !win.Closed() { + select { + case <-cancel: + win.SetClosed(true) + break + default: + win.Clear(color.White) + sprite.Draw(win, pixel.IM.Moved(win.Bounds().Center())) + win.Update() + } + } + }) +} + +func DrawSystemGraphic(cancel <-chan struct{}, eq *SystemEquation) { + dc := gg.NewContext(width, height) + dc.SetColor(color.White) + dc.Clear() + + dc.SetColor(color.Black) + dc.SetLineWidth(1) + dc.DrawLine(0, height/2, width, height/2) + dc.DrawLine(width/2, 0, width/2, height) + dc.Stroke() + + const tickCount = 10 + xStep := float64(width) / float64(tickCount) + yStep := float64(height) / float64(tickCount) + for i := 0; i <= tickCount; i++ { + x := float64(i) * xStep + label := strconv.Itoa(i - tickCount/2) + dc.DrawStringAnchored(label, x, height/2+15, 0.5, 0.5) + } + + for i := 0; i <= tickCount; i++ { + y := float64(i) * yStep + label := strconv.Itoa(tickCount/2 - i) + dc.DrawStringAnchored(label, width/2-15, y, 0.5, 0.5) + } + + colors := []color.Color{ + color.RGBA{255, 0, 0, 255}, + color.RGBA{0, 0, 255, 255}, + } + + dc.SetColor(colors[0]) + dc.SetLineWidth(1) + for px := 0; px < width; px++ { + for py := 0; py < height; py++ { + x := (float64(px)/width)*10 - 5 + y := (float64(py)/height)*10 - 5 + z := eq.fn1(x, y) + if z > -0.05 && z < 0.05 { + dc.SetPixel(px, height-int((y+5)/10*float64(height))) + } + } + } + dc.Stroke() + + dc.SetColor(colors[1]) + dc.SetLineWidth(1) + for px := 0; px < width; px++ { + for py := 0; py < height; py++ { + x := (float64(px)/width)*10 - 5 + y := (float64(py)/height)*10 - 5 + z := eq.fn2(x, y) + if z > -0.05 && z < 0.05 { + dc.SetPixel(px, height-int((y+5)/10*float64(height))) + } + } + } + dc.Stroke() + + dc.SetColor(color.Black) + dc.SetLineWidth(2) + for _, root := range eq.roots { + px := int(((root[0] + 5) / 10) * float64(width)) + py := height - int(((root[1]+5)/10)*float64(height)) + dc.DrawCircle(float64(px), float64(py), 3) + dc.Fill() + + label := fmt.Sprintf("(%.2f, %.2f)", root[0], root[1]) + dc.SetColor(color.Black) + dc.DrawStringAnchored(label, float64(px)+8, float64(py)-8, 0, 0) + } + + pixelgl.Run(func() { + cfg := pixelgl.WindowConfig{ + Title: "График системы нелинейных уравнений", + Bounds: pixel.R(0, 0, width, height), + VSync: true, + } + + win, err := pixelgl.NewWindow(cfg) + if err != nil { + log.Fatal(err) + return + } + + pic := pixel.PictureDataFromImage(dc.Image()) + sprite := pixel.NewSprite(pic, pic.Bounds()) + + for !win.Closed() { + select { + case <-cancel: + win.SetClosed(true) + return + default: + win.Clear(color.White) + sprite.Draw(win, pixel.IM.Moved(win.Bounds().Center())) + win.Update() + } + } + }) +} diff --git "a/\320\2403212/medvedev_409111/lab2/main.go" "b/\320\2403212/medvedev_409111/lab2/main.go" new file mode 100644 index 0000000..52f9635 --- /dev/null +++ "b/\320\2403212/medvedev_409111/lab2/main.go" @@ -0,0 +1,132 @@ +package main + +import ( + "bufio" + "fmt" + "os" + "strconv" + "strings" +) + +func main() { + reader, inFile, err := getReader() + if err != nil { + fmt.Println(err) + return + } + writer, outFile, err := getWriter() + if err != nil { + fmt.Println(err) + return + } + isFile := false + if inFile != nil { + isFile = true + defer inFile.Close() + } + if outFile != nil { + defer outFile.Close() + } + stdin := bufio.NewReader(os.Stdin) + fmt.Print("Введите 1, если хотите решить уравнение, и 2, если систему линейных уравнений: ") + ans, err := stdin.ReadString('\n') + if err != nil { + fmt.Println(err) + return + } + ans = strings.TrimSpace(ans) + if ans == "1" { + fmt.Println("Выберете уравнение:") + eqMap := GetEqMap() + for key, _ := range eqMap { + fmt.Printf("%v - %v\n", key, eqMap[key]) + } + line, err := stdin.ReadString('\n') + if err != nil { + fmt.Println(err) + return + } + number, err := strconv.Atoi(strings.TrimSpace(line)) + if err != nil { + fmt.Println(err) + return + } + err = HandleSimple(reader, writer, isFile, number) + if err != nil { + fmt.Println(err) + } + } else if ans == "2" { + fmt.Println("Выберете уравнение:") + sysEqMap := GetSysEqMap() + for key, _ := range sysEqMap { + fmt.Printf("%v - %v\n", key, sysEqMap[key]) + } + line, err := stdin.ReadString('\n') + if err != nil { + fmt.Println(err) + return + } + number, err := strconv.Atoi(strings.TrimSpace(line)) + if err != nil { + fmt.Println(err) + return + } + err = HandleSystem(reader, writer, isFile, number) + if err != nil { + fmt.Println(err) + } + } else { + fmt.Println("Неверный ввод") + return + } +} + +func getReader() (*bufio.Reader, *os.File, error) { + var line string + stdin := bufio.NewReader(os.Stdin) + fmt.Print("Введите любой символ, если хотите ввести данные из файла: ") + line, err := stdin.ReadString('\n') + line = line[:len(line)-1] + if err != nil { + return nil, nil, err + } + if line == "" { + return bufio.NewReader(stdin), nil, nil + } + fmt.Print("Введите название файла: ") + line, err = stdin.ReadString('\n') + line = line[:len(line)-1] + if err != nil { + return nil, nil, err + } + file, err := os.Open(line) + if err != nil { + return nil, nil, err + } + return bufio.NewReader(file), file, nil +} + +func getWriter() (*bufio.Writer, *os.File, error) { + var line string + stdin := bufio.NewReader(os.Stdin) + fmt.Print("Введите любой символ, если хотите перенаправить вывод в файл: ") + line, err := stdin.ReadString('\n') + line = line[:len(line)-1] + if err != nil { + return nil, nil, err + } + if line == "" { + return bufio.NewWriter(os.Stdout), nil, nil + } + fmt.Print("Введите название файла: ") + line, err = stdin.ReadString('\n') + line = line[:len(line)-1] + if err != nil { + return nil, nil, err + } + file, err := os.Create(line) + if err != nil { + return nil, nil, err + } + return bufio.NewWriter(file), file, nil +} diff --git "a/\320\2403212/medvedev_409111/lab2/reports/\320\222\321\213\321\207\320\274\320\260\321\202_\342\204\2262.pdf" "b/\320\2403212/medvedev_409111/lab2/reports/\320\222\321\213\321\207\320\274\320\260\321\202_\342\204\2262.pdf" new file mode 100644 index 0000000000000000000000000000000000000000..0203d03950ba73d322bf9ee940ae6f9c35f4010e GIT binary 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zlkyue?si<$@s8;9v-rw4rQRF01UU-`LC%c&iJTicF6Ar(9i*)s1=7>qF`oeWco!Qx{#6}bQf>|K(X6CLLzh`omAn)m=*yx;?B{VG!eF5$!Bq+}0U4<)fg@m>ue3(ILQ(@at=_&%skZ`3eERyo|we3wIxio(FqVF>1mb7-f5Sl{Y zbfa+;X(W9M4OL-TPqAYlS0Hl1tm#~>e=t|yTT`oFpw&fW)ihG4qk<;21Q4tG-`xFS zdE+NbO2d%LxDH#=fhPlvC~{_MEF!CNjnOT03ArYMH7{tr6Rd*_ozTMLgNt%O>@_nHL;0QPLvN%;lQp3{ImB) zs4KbLnky2y0BYpSwdy^cbn-51{EYC1F_C*CK9@V@iCX#u-0{lEreGLE(u%LiSX#-8SD)B6A($bB>&_W@)uJtA~tlHWBtM6YRK>Lj`U zl!9_we$b++DbcV`PQ@aum7Ov{kp7GI;_& zh@L!@-yDy-=&GK9zV(r(_x4U1hL6gf?fj%8|0bCu40O3)Hf6%(DFZ$3d8zzc?ZXZ` JaqOs}{|3-3Al3i? literal 0 HcmV?d00001 diff --git "a/\320\2403212/medvedev_409111/lab2/simple_eq_controller.go" "b/\320\2403212/medvedev_409111/lab2/simple_eq_controller.go" new file mode 100644 index 0000000..e70328f --- /dev/null +++ "b/\320\2403212/medvedev_409111/lab2/simple_eq_controller.go" @@ -0,0 +1,204 @@ +package main + +import ( + "bufio" + "errors" + "fmt" + "strconv" + "strings" +) + +func HandleSimple(reader *bufio.Reader, writer *bufio.Writer, isFile bool, number int) error { + eq, err := GetEquation(number) + if err != nil { + return err + } + cancel := make(chan struct{}) + errChan := make(chan error) + go func() { + defer func() { + close(errChan) + close(cancel) + }() + if !isFile { + fmt.Println("Выберете каким методом решить уравнение:") + fmt.Println("1 - метод простой итерации") + fmt.Println("2 - метод Ньютона") + fmt.Println("3 - метод половинного деления") + } + ans, err := reader.ReadString('\n') + if err != nil { + cancel <- struct{}{} + errChan <- err + return + } + ans = strings.TrimSpace(ans) + if ans == "1" { + err := handleSimpleIter(reader, writer, eq, isFile) + if err != nil { + cancel <- struct{}{} + errChan <- err + return + } + } else if ans == "2" { + err := handleNewton(reader, writer, eq, isFile) + if err != nil { + cancel <- struct{}{} + errChan <- err + return + } + } else if ans == "3" { + err := handleBisection(reader, writer, eq, isFile) + if err != nil { + cancel <- struct{}{} + errChan <- err + return + } + } else { + cancel <- struct{}{} + errChan <- errors.New("Неверно выбран метод для решения") + return + } + cancel <- struct{}{} + errChan <- nil + }() + DrawGraphic(cancel, eq) + return <-errChan +} + +func handleSimpleIter(reader *bufio.Reader, writer *bufio.Writer, eq *Equation, isFile bool) error { + for i := 0; i < len(eq.roots); i++ { + if !isFile { + fmt.Printf("Введите данные для корня %v:\n", i+1) + } + eps, a, b, err := handleInterval(reader, writer, eq, isFile) + if err != nil { + return err + } + if !eq.checkConvergence(a, b) { + return errors.New("Функция на сходится на данном промежутке") + } + res, iter := SimpleIteration(eq, (a+b)/2, eps) + _, err = writer.WriteString(fmt.Sprintf("Корень: %v\n", res)) + if err != nil { + return err + } + err = writer.Flush() + if err != nil { + return err + } + _, err = writer.WriteString(fmt.Sprintf("Количество итераций: %v\n", iter)) + if err != nil { + return err + } + err = writer.Flush() + if err != nil { + return err + } + } + return nil +} + +func handleBisection(reader *bufio.Reader, writer *bufio.Writer, eq *Equation, isFile bool) error { + for i := 0; i < len(eq.roots); i++ { + if !isFile { + fmt.Printf("Введите данные для корня %v:\n", i+1) + } + eps, a, b, err := handleInterval(reader, writer, eq, isFile) + if err != nil { + return err + } + res, iter, err := Bisection(eq, a, b, eps) + if err != nil { + return err + } + _, err = writer.WriteString(fmt.Sprintf("Корень: %v\n", res)) + if err != nil { + return err + } + err = writer.Flush() + if err != nil { + return err + } + _, err = writer.WriteString(fmt.Sprintf("Количество итераций: %v\n", iter)) + if err != nil { + return err + } + err = writer.Flush() + if err != nil { + return err + } + } + return nil +} + +func handleNewton(reader *bufio.Reader, writer *bufio.Writer, eq *Equation, isFile bool) error { + for i := 0; i < len(eq.roots); i++ { + if !isFile { + fmt.Printf("Введите данные для корня %v:\n", i+1) + } + eps, a, b, err := handleInterval(reader, writer, eq, isFile) + if err != nil { + return err + } + res, iter, err := Newton(eq, (a+b)/2, eps) + if err != nil { + return err + } + _, err = writer.WriteString(fmt.Sprintf("Корень: %v\n", res)) + if err != nil { + return err + } + err = writer.Flush() + if err != nil { + return err + } + _, err = writer.WriteString(fmt.Sprintf("Количество итераций: %v\n", iter)) + if err != nil { + return err + } + err = writer.Flush() + if err != nil { + return err + } + } + return nil +} + +func handleInterval(reader *bufio.Reader, writer *bufio.Writer, eq *Equation, isFile bool) (float64, float64, float64, error) { + if !isFile { + fmt.Print("Введите точность: ") + } + line, err := reader.ReadString('\n') + if err != nil { + return 0, 0, 0, err + } + eps, err := strconv.ParseFloat(strings.TrimSpace(line), 64) + if err != nil { + return 0, 0, 0, err + } + if eps <= 0 { + return 0, 0, 0, errors.New("Неверно указана точность") + } + if !isFile { + fmt.Print("Введите начало промежутка: ") + } + line, err = reader.ReadString('\n') + if err != nil { + return 0, 0, 0, err + } + a, err := strconv.ParseFloat(strings.TrimSpace(line), 64) + if !isFile { + fmt.Print("Введите конец промежутка: ") + } + line, err = reader.ReadString('\n') + if err != nil { + return 0, 0, 0, err + } + b, err := strconv.ParseFloat(strings.TrimSpace(line), 64) + + if !eq.checkRoots(a, b) { + return 0, 0, 0, errors.New("На промежутке имеется количество корней не равное 1") + } + return eps, a, b, nil +} diff --git "a/\320\2403212/medvedev_409111/lab2/sys_eq_controller.go" "b/\320\2403212/medvedev_409111/lab2/sys_eq_controller.go" new file mode 100644 index 0000000..164b993 --- /dev/null +++ "b/\320\2403212/medvedev_409111/lab2/sys_eq_controller.go" @@ -0,0 +1,133 @@ +package main + +import ( + "bufio" + "errors" + "fmt" + "strconv" + "strings" +) + +func HandleSystem(reader *bufio.Reader, writer *bufio.Writer, isFile bool, number int) error { + sysEq, err := GetSystemEquation(number) + if err != nil { + return err + } + cancel := make(chan struct{}) + errChan := make(chan error, 1) + go func() { + defer func() { + close(errChan) + close(cancel) + }() + if !isFile { + fmt.Print("Введите точность: ") + } + line, err := reader.ReadString('\n') + if err != nil { + cancel <- struct{}{} + errChan <- err + return + } + eps, err := strconv.ParseFloat(strings.TrimSpace(line), 64) + if eps <= 0 { + cancel <- struct{}{} + errChan <- errors.New("Неверно указана точность") + return + } + if !isFile { + fmt.Print("Введите максимальное количество итераций: ") + } + line, err = reader.ReadString('\n') + if err != nil { + cancel <- struct{}{} + errChan <- err + return + } + maxIter, err := strconv.Atoi(strings.TrimSpace(line)) + if maxIter <= 0 { + cancel <- struct{}{} + errChan <- errors.New("Неверно указано максимальное количество итераций") + return + } + if !isFile { + fmt.Println("Введите начальные приближения: ") + fmt.Print("x0: ") + } + line, err = reader.ReadString('\n') + if err != nil { + cancel <- struct{}{} + errChan <- err + return + } + x0, err := strconv.ParseFloat(strings.TrimSpace(line), 64) + if !isFile { + fmt.Print("y0: ") + } + line, err = reader.ReadString('\n') + if err != nil { + cancel <- struct{}{} + errChan <- err + return + } + y0, err := strconv.ParseFloat(strings.TrimSpace(line), 64) + x, y, iter, maxError, err := NewtonMethod(sysEq, x0, y0, eps, maxIter) + if err != nil { + cancel <- struct{}{} + errChan <- err + return + } + _, err = writer.WriteString(fmt.Sprintf("X: %v\n", x)) + if err != nil { + cancel <- struct{}{} + errChan <- err + return + } + err = writer.Flush() + if err != nil { + cancel <- struct{}{} + errChan <- err + return + } + _, err = writer.WriteString(fmt.Sprintf("Y: %v\n", y)) + if err != nil { + cancel <- struct{}{} + errChan <- err + return + } + err = writer.Flush() + if err != nil { + cancel <- struct{}{} + errChan <- err + return + } + _, err = writer.WriteString(fmt.Sprintf("Итерация: %v\n", iter)) + if err != nil { + cancel <- struct{}{} + errChan <- err + return + } + err = writer.Flush() + if err != nil { + cancel <- struct{}{} + errChan <- err + return + } + _, err = writer.WriteString(fmt.Sprintf("Максимальная ошибка: %v\n", maxError)) + if err != nil { + cancel <- struct{}{} + errChan <- err + return + } + err = writer.Flush() + if err != nil { + cancel <- struct{}{} + errChan <- err + return + } + cancel <- struct{}{} + errChan <- nil + }() + DrawSystemGraphic(cancel, sysEq) + return <-errChan +} diff --git "a/\320\2403212/medvedev_409111/lab2/system_equation.go" "b/\320\2403212/medvedev_409111/lab2/system_equation.go" new file mode 100644 index 0000000..f51dfa7 --- /dev/null +++ "b/\320\2403212/medvedev_409111/lab2/system_equation.go" @@ -0,0 +1,72 @@ +package main + +import "math" + +type SystemEquation struct { + fn1 func(float64, float64) float64 + fn2 func(float64, float64) float64 + diff11 func(float64, float64) float64 + diff12 func(float64, float64) float64 + diff21 func(float64, float64) float64 + diff22 func(float64, float64) float64 + roots [][]float64 +} + +func GetSystemEquation(number int) (*SystemEquation, error) { + switch number { + case 1: + { + fn1 := func(x float64, y float64) float64 { + return math.Tan(x*y) - x*x + } + fn2 := func(x float64, y float64) float64 { + return 0.5*x*x + 2*y*y - 1 + } + diff11 := func(x float64, y float64) float64 { + return y/math.Pow(math.Cos(x*y), 2.0) - 2*x + } + diff12 := func(x float64, y float64) float64 { + return x / math.Pow(math.Cos(x*y), 2.0) + } + diff21 := func(x float64, y float64) float64 { + return x + } + diff22 := func(x float64, y float64) float64 { + return 4 * y + } + return &SystemEquation{fn1, fn2, diff11, diff12, diff21, diff22, [][]float64{[]float64{0.664, 0.624}, []float64{-0.662, -0.624}}}, nil + } + case 2: + { + fn1 := func(x float64, y float64) float64 { + return x + math.Sin(y) + 0.4 + } + fn2 := func(x float64, y float64) float64 { + return 2*y - math.Cos(x+1) + } + diff11 := func(x float64, y float64) float64 { + return 1 + } + diff12 := func(x float64, y float64) float64 { + return math.Cos(y) + } + diff21 := func(x float64, y float64) float64 { + return math.Sin(x + 1) + } + diff22 := func(x float64, y float64) float64 { + return 2 + } + return &SystemEquation{fn1, fn2, diff11, diff12, diff21, diff22, [][]float64{[]float64{-0.87, 0.49}}}, nil + } + } + return nil, nil +} + +func GetSysEqMap() map[int]string { + return map[int]string{ + 1: "\n| tg(xy) = x^2\n" + + "| 0.5x^2 + 2y^2 = 1", + 2: "\n| x + sin(y) = -0.4\n" + + "| 2y - cos(x + 1) = 0", + } +} diff --git "a/\320\2403212/medvedev_409111/lab3/go.mod" "b/\320\2403212/medvedev_409111/lab3/go.mod" new file mode 100644 index 0000000..a883462 --- /dev/null +++ "b/\320\2403212/medvedev_409111/lab3/go.mod" @@ -0,0 +1,3 @@ +module Lab_3 + +go 1.23 diff --git "a/\320\2403212/medvedev_409111/lab3/input.go" "b/\320\2403212/medvedev_409111/lab3/input.go" new file mode 100644 index 0000000..3484c1f --- /dev/null +++ "b/\320\2403212/medvedev_409111/lab3/input.go" @@ -0,0 +1,87 @@ +package main + +import ( + "bufio" + "errors" + "fmt" + "strconv" + "strings" +) + +func ParseIntegral(reader *bufio.Reader) (*Integral, error) { + fmt.Println("Выберите интеграл для вычисления: ") + descMap := GetIntegralDescription() + for key, _ := range descMap { + fmt.Printf("%v - %v\n", key, descMap[key]) + } + line, err := reader.ReadString('\n') + if err != nil { + return nil, err + } + intNum, err := strconv.Atoi(strings.TrimSpace(line)) + if err != nil { + return nil, err + } + integral, err := GetIntegral(intNum) + if err != nil { + return nil, err + } + fmt.Println("Укажите начало промежутка: ") + line, err = reader.ReadString('\n') + if err != nil { + return nil, err + } + a, err := strconv.ParseFloat(strings.TrimSpace(line), 64) + if err != nil { + return nil, err + } + fmt.Println("Укажите конец промежутка: ") + line, err = reader.ReadString('\n') + if err != nil { + return nil, err + } + b, err := strconv.ParseFloat(strings.TrimSpace(line), 64) + if err != nil { + return nil, err + } + if a >= b { + return nil, errors.New("Некорректно указан промежуток") + } + integral.start = a + integral.end = b + return integral, nil +} + +func ParseAccuracy(reader *bufio.Reader) (float64, error) { + fmt.Println("Укажите точность: ") + line, err := reader.ReadString('\n') + if err != nil { + return -1.0, err + } + acc, err := strconv.ParseFloat(strings.TrimSpace(line), 64) + if err != nil { + return -1.0, err + } + if acc <= 0.0 { + return -1.0, errors.New("Некорректно указана точность") + } + return acc, nil +} + +func ParseMethod(reader *bufio.Reader) (func(*Integral, int) float64, error) { + fmt.Println("Выберите метод для вычисления интеграла: ") + methodMap := GetMethodDescription() + for key, _ := range methodMap { + fmt.Printf("%v - %v\n", key, methodMap[key]) + } + line, err := reader.ReadString('\n') + if err != nil { + return nil, err + } + methodNum, err := strconv.Atoi(strings.TrimSpace(line)) + if err != nil { + return nil, err + } + method, err := GetMethod(methodNum) + return method, err +} diff --git "a/\320\2403212/medvedev_409111/lab3/integral.go" "b/\320\2403212/medvedev_409111/lab3/integral.go" new file mode 100644 index 0000000..bfa8280 --- /dev/null +++ "b/\320\2403212/medvedev_409111/lab3/integral.go" @@ -0,0 +1,46 @@ +package main + +import ( + "errors" + "math" +) + +type Integral struct { + fn func(float64) float64 + start float64 + end float64 +} + +func GetIntegral(num int) (*Integral, error) { + var fn func(float64) float64 + switch num { + case 1: + fn = func(x float64) float64 { + return -1*math.Pow(x, 3.0) - math.Pow(x, 2.0) - 2*x + 1 + } + case 2: + fn = func(x float64) float64 { + return math.Pow(x, 3.0) - 3*math.Pow(x, 2.0) + 6*x - 19 + } + case 3: + fn = func(x float64) float64 { + return math.Pow(x, 2.0) + math.Cos(x) + } + case 4: + fn = func(x float64) float64 { + return (3*x + 12) * math.Sin(x) + } + default: + return nil, errors.New("Некорректно выбран интеграл") + } + return &Integral{fn: fn}, nil +} + +func GetIntegralDescription() map[int]string { + return map[int]string{ + 1: "-x^3 - x^2 - 2x + 1", + 2: "x^3 - 3x^2 + 6x - 19", + 3: "x^2 + cos(x)", + 4: "(3x + 12)sin(x)", + } +} diff --git "a/\320\2403212/medvedev_409111/lab3/main.go" "b/\320\2403212/medvedev_409111/lab3/main.go" new file mode 100644 index 0000000..249cef5 --- /dev/null +++ "b/\320\2403212/medvedev_409111/lab3/main.go" @@ -0,0 +1,29 @@ +package main + +import ( + "bufio" + "fmt" + "os" +) + +func main() { + reader := bufio.NewReader(os.Stdin) + integral, err := ParseIntegral(reader) + if err != nil { + fmt.Println(err) + return + } + acc, err := ParseAccuracy(reader) + if err != nil { + fmt.Println(err) + return + } + method, err := ParseMethod(reader) + if err != nil { + fmt.Println(err) + return + } + ans, iter := SolveIntegral(integral, acc, method) + fmt.Printf("Значение интеграла: %v\n", ans) + 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