From ed91de2337e87202d7618057a00df9e2fef542eb Mon Sep 17 00:00:00 2001
From: vay4ie <vay4ie@gmail.com>
Date: Wed, 10 Jan 2024 16:12:48 +0200
Subject: [PATCH 1/5] Played w/ program & added different function support

---
 main.go | 38 ++++++++++++++++++++++++++++++--------
 1 file changed, 30 insertions(+), 8 deletions(-)

diff --git a/main.go b/main.go
index e39985b..23a5a7d 100644
--- a/main.go
+++ b/main.go
@@ -3,26 +3,33 @@ package main
 import (
 	"image"
 	"log"
+	"math"
 	"time"
 
 	"github.com/hajimehoshi/ebiten/v2"
 )
 
-func f(x float64) float64  { return x*x + 5*x - 3 }
-func df(x float64) float64 { return 2*x + 5 }
+//FUNCTIONS
+
+//func f(x float64) float64 { return x*x + 3*x - 5 }
+
+func f(x float64) float64 { return math.Cos(x) }
+
+// func f(x float64) float64 { return math.Sin(x) }
+//func f(x float64) float64 { return 0.1*(x*x) - math.Sqrt(97)*x + 10 }
 
 func main() {
 	ebiten.SetWindowSize(640, 480)
-	ebiten.SetWindowTitle("Gradient descent")
+	ebiten.SetWindowTitle("Meh")
 
 	img := make(chan *image.RGBA, 1)
 	go func() {
-		p := Plot(-5, 0, 0.1, f)
-		x := 0.0
+		p := Plot(-10, 10, 0.1, f)
+		x := 0.25
 		img <- p(x)
-		for i := 0; i < 50; i++ {
-			time.Sleep(30 * time.Millisecond)
-			x -= df(x) * 0.1
+		for i := 0; d(f, x) != 0; i++ {
+			time.Sleep(500 * time.Millisecond)
+			x -= d(f, x) * 0.9
 			img <- p(x)
 		}
 	}()
@@ -31,3 +38,18 @@ func main() {
 		log.Fatal(err)
 	}
 }
+
+// Isolated one-dimensional gradient descent function (not used)
+func GradientDescent(f func(float64) float64) float64 {
+	x := 0.25
+	for i := 0; d(f, x) != 0; i++ {
+		x -= d(f, x) * 0.9
+	}
+	return x
+}
+
+// Derivative
+func d(f func(float64) float64, x float64) float64 {
+	h := 0.0001
+	return (f(x+h) - f(x)) / h
+}

From da9d95ff28726a6b4ebf2d64e3893186a5dcd3ef Mon Sep 17 00:00:00 2001
From: vay4ie <vay4ie@gmail.com>
Date: Wed, 17 Jan 2024 20:11:42 +0200
Subject: [PATCH 2/5] Made linear regression w/o drawing

Somehow overcame the core, but couldn't understand the drawing with plot
---
 app.go => Gradient_Descent/app.go       |   0
 go.mod => Gradient_Descent/go.mod       |   0
 go.sum => Gradient_Descent/go.sum       |   0
 Gradient_Descent/main.go                |  33 +++++++
 plot.go => Gradient_Descent/plot.go     |   0
 Linear_Regression/go.mod                |  32 +++++++
 Linear_Regression/go.sum                | 120 ++++++++++++++++++++++++
 Linear_Regression/linear_regression.png | Bin 0 -> 10327 bytes
 Linear_Regression/main.go               |  80 ++++++++++++++++
 main.go                                 |  55 -----------
 10 files changed, 265 insertions(+), 55 deletions(-)
 rename app.go => Gradient_Descent/app.go (100%)
 rename go.mod => Gradient_Descent/go.mod (100%)
 rename go.sum => Gradient_Descent/go.sum (100%)
 create mode 100644 Gradient_Descent/main.go
 rename plot.go => Gradient_Descent/plot.go (100%)
 create mode 100644 Linear_Regression/go.mod
 create mode 100644 Linear_Regression/go.sum
 create mode 100644 Linear_Regression/linear_regression.png
 create mode 100644 Linear_Regression/main.go
 delete mode 100644 main.go

diff --git a/app.go b/Gradient_Descent/app.go
similarity index 100%
rename from app.go
rename to Gradient_Descent/app.go
diff --git a/go.mod b/Gradient_Descent/go.mod
similarity index 100%
rename from go.mod
rename to Gradient_Descent/go.mod
diff --git a/go.sum b/Gradient_Descent/go.sum
similarity index 100%
rename from go.sum
rename to Gradient_Descent/go.sum
diff --git a/Gradient_Descent/main.go b/Gradient_Descent/main.go
new file mode 100644
index 0000000..e39985b
--- /dev/null
+++ b/Gradient_Descent/main.go
@@ -0,0 +1,33 @@
+package main
+
+import (
+	"image"
+	"log"
+	"time"
+
+	"github.com/hajimehoshi/ebiten/v2"
+)
+
+func f(x float64) float64  { return x*x + 5*x - 3 }
+func df(x float64) float64 { return 2*x + 5 }
+
+func main() {
+	ebiten.SetWindowSize(640, 480)
+	ebiten.SetWindowTitle("Gradient descent")
+
+	img := make(chan *image.RGBA, 1)
+	go func() {
+		p := Plot(-5, 0, 0.1, f)
+		x := 0.0
+		img <- p(x)
+		for i := 0; i < 50; i++ {
+			time.Sleep(30 * time.Millisecond)
+			x -= df(x) * 0.1
+			img <- p(x)
+		}
+	}()
+
+	if err := ebiten.RunGame(&App{Img: img}); err != nil {
+		log.Fatal(err)
+	}
+}
diff --git a/plot.go b/Gradient_Descent/plot.go
similarity index 100%
rename from plot.go
rename to Gradient_Descent/plot.go
diff --git a/Linear_Regression/go.mod b/Linear_Regression/go.mod
new file mode 100644
index 0000000..abcf32d
--- /dev/null
+++ b/Linear_Regression/go.mod
@@ -0,0 +1,32 @@
+module main.go
+
+go 1.21.1
+
+require (
+	gioui.org v0.4.2 // indirect
+	gioui.org/cpu v0.0.0-20220412190645-f1e9e8c3b1f7 // indirect
+	gioui.org/shader v1.0.8 // indirect
+	gioui.org/x v0.4.0 // indirect
+	git.sr.ht/~sbinet/gg v0.5.0 // indirect
+	github.com/ajstarks/svgo v0.0.0-20211024235047-1546f124cd8b // indirect
+	github.com/andybalholm/stroke v0.0.0-20230904101225-24ef450bc62c // indirect
+	github.com/campoy/embedmd v1.0.0 // indirect
+	github.com/ebitengine/purego v0.5.1 // indirect
+	github.com/go-fonts/liberation v0.3.2 // indirect
+	github.com/go-latex/latex v0.0.0-20231108140139-5c1ce85aa4ea // indirect
+	github.com/go-pdf/fpdf v0.9.0 // indirect
+	github.com/go-text/typesetting v0.1.0 // indirect
+	github.com/golang/freetype v0.0.0-20170609003504-e2365dfdc4a0 // indirect
+	github.com/hajimehoshi/ebiten/v2 v2.6.3 // indirect
+	github.com/jezek/xgb v1.1.1 // indirect
+	github.com/pmezard/go-difflib v1.0.0 // indirect
+	golang.org/x/exp v0.0.0-20240112132812-db7319d0e0e3 // indirect
+	golang.org/x/exp/shiny v0.0.0-20240112132812-db7319d0e0e3 // indirect
+	golang.org/x/image v0.15.0 // indirect
+	golang.org/x/mobile v0.0.0-20240112133503-c713f31d574b // indirect
+	golang.org/x/sync v0.6.0 // indirect
+	golang.org/x/sys v0.16.0 // indirect
+	golang.org/x/text v0.14.0 // indirect
+	gonum.org/v1/plot v0.14.0 // indirect
+	rsc.io/pdf v0.1.1 // indirect
+)
diff --git a/Linear_Regression/go.sum b/Linear_Regression/go.sum
new file mode 100644
index 0000000..10b8466
--- /dev/null
+++ b/Linear_Regression/go.sum
@@ -0,0 +1,120 @@
+gioui.org v0.4.2 h1:txwggR/n2YYAkhnwgTpqk/5h5Fy7SkI20hOrbwlOyGE=
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+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 v1.0.8 h1:6ks0o/A+b0ne7RzEqRZK5f4Gboz2CfG+mVliciy6+qA=
+gioui.org/shader v1.0.8/go.mod h1:mWdiME581d/kV7/iEhLmUgUK5iZ09XR5XpduXzbePVM=
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+gioui.org/x v0.4.0/go.mod h1:YAoFl2lbeARk4LopDXHK1N7fBQJupPYDSm9maf6tFlM=
+git.sr.ht/~sbinet/gg v0.5.0 h1:6V43j30HM623V329xA9Ntq+WJrMjDxRjuAB1LFWF5m8=
+git.sr.ht/~sbinet/gg v0.5.0/go.mod h1:G2C0eRESqlKhS7ErsNey6HHrqU1PwsnCQlekFi9Q2Oo=
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HcmV?d00001

diff --git a/Linear_Regression/main.go b/Linear_Regression/main.go
new file mode 100644
index 0000000..5506639
--- /dev/null
+++ b/Linear_Regression/main.go
@@ -0,0 +1,80 @@
+package main
+
+import (
+	"fmt"
+)
+
+type Line struct {
+	k float64
+	b float64
+}
+
+func (l *Line) Training(x, y []float64, learningRate float64, epochs int) {
+	m := float64(len(x))
+
+	for epoch := 1; epoch <= epochs; epoch++ {
+
+		// Making calculations
+		calculations := make([]float64, len(x))
+		for i := range x {
+			calculations[i] = l.calculate(x[i])
+		}
+
+		// Calculating errors
+		errors := make([]float64, len(y))
+		for i := range y {
+			errors[i] = calculations[i] - y[i]
+		}
+
+		l.k -= learningRate * (1 / m) * twoSliceSum(errors, x)
+		l.b -= learningRate * (1 / m) * sliceSum(errors)
+
+		loss := average(errors)
+		fmt.Printf("Epoch %d, Cost: %f\n", epoch, loss)
+	}
+}
+
+func (l *Line) calculate(x float64) float64 {
+	return l.k*x + l.b
+}
+
+func twoSliceSum(slice1, slice2 []float64) float64 {
+	result := 0.0
+	for i := range slice1 {
+		result += slice1[i] * slice2[i]
+	}
+	return result
+}
+
+func sliceSum(slice1 []float64) float64 {
+	result := 0.0
+	for i := range slice1 {
+		result += slice1[i]
+	}
+	return result
+}
+
+func average(s []float64) float64 {
+	return sliceSum(s) / float64(len(s))
+}
+
+func main() {
+	// Points
+	x := []float64{0, -0.5, 0.5, 1, 2.5}
+	y := []float64{1, 0, 2, 3, 6}
+
+	//Line initialization
+	lr := Line{}
+
+	// Training
+	learningRate := 0.01
+	epochs := 1000
+
+	lr.Training(x, y, learningRate, epochs)
+
+	fmt.Printf("Trained Coefficients: Slope=%.2f, Intercept=%.2f\n", lr.k, lr.b)
+
+	newX := 6.0
+	regression := lr.calculate(newX)
+	fmt.Printf("Regression for X=%.2f: %.2f\n", newX, regression)
+}
diff --git a/main.go b/main.go
deleted file mode 100644
index 23a5a7d..0000000
--- a/main.go
+++ /dev/null
@@ -1,55 +0,0 @@
-package main
-
-import (
-	"image"
-	"log"
-	"math"
-	"time"
-
-	"github.com/hajimehoshi/ebiten/v2"
-)
-
-//FUNCTIONS
-
-//func f(x float64) float64 { return x*x + 3*x - 5 }
-
-func f(x float64) float64 { return math.Cos(x) }
-
-// func f(x float64) float64 { return math.Sin(x) }
-//func f(x float64) float64 { return 0.1*(x*x) - math.Sqrt(97)*x + 10 }
-
-func main() {
-	ebiten.SetWindowSize(640, 480)
-	ebiten.SetWindowTitle("Meh")
-
-	img := make(chan *image.RGBA, 1)
-	go func() {
-		p := Plot(-10, 10, 0.1, f)
-		x := 0.25
-		img <- p(x)
-		for i := 0; d(f, x) != 0; i++ {
-			time.Sleep(500 * time.Millisecond)
-			x -= d(f, x) * 0.9
-			img <- p(x)
-		}
-	}()
-
-	if err := ebiten.RunGame(&App{Img: img}); err != nil {
-		log.Fatal(err)
-	}
-}
-
-// Isolated one-dimensional gradient descent function (not used)
-func GradientDescent(f func(float64) float64) float64 {
-	x := 0.25
-	for i := 0; d(f, x) != 0; i++ {
-		x -= d(f, x) * 0.9
-	}
-	return x
-}
-
-// Derivative
-func d(f func(float64) float64, x float64) float64 {
-	h := 0.0001
-	return (f(x+h) - f(x)) / h
-}

From 55f76755599b4ee805bf54f017e66c7d9b3b66b6 Mon Sep 17 00:00:00 2001
From: vay4ie <vay4ie@gmail.com>
Date: Thu, 25 Jan 2024 16:19:48 +0200
Subject: [PATCH 3/5] Deleted everything

---
 Gradient_Descent/app.go                 |  29 ------
 Gradient_Descent/go.mod                 |  27 ------
 Gradient_Descent/go.sum                 |  96 -------------------
 Gradient_Descent/main.go                |  33 -------
 Gradient_Descent/plot.go                |  60 ------------
 Linear_Regression/go.mod                |  32 -------
 Linear_Regression/go.sum                | 120 ------------------------
 Linear_Regression/linear_regression.png | Bin 10327 -> 0 bytes
 Linear_Regression/main.go               |  80 ----------------
 9 files changed, 477 deletions(-)
 delete mode 100644 Gradient_Descent/app.go
 delete mode 100644 Gradient_Descent/go.mod
 delete mode 100644 Gradient_Descent/go.sum
 delete mode 100644 Gradient_Descent/main.go
 delete mode 100644 Gradient_Descent/plot.go
 delete mode 100644 Linear_Regression/go.mod
 delete mode 100644 Linear_Regression/go.sum
 delete mode 100644 Linear_Regression/linear_regression.png
 delete mode 100644 Linear_Regression/main.go

diff --git a/Gradient_Descent/app.go b/Gradient_Descent/app.go
deleted file mode 100644
index 90cb206..0000000
--- a/Gradient_Descent/app.go
+++ /dev/null
@@ -1,29 +0,0 @@
-package main
-
-import (
-	"image"
-
-	"github.com/hajimehoshi/ebiten/v2"
-)
-
-type App struct {
-	Img <-chan *image.RGBA
-	img *ebiten.Image
-}
-
-func (app *App) Update() error { return nil }
-
-func (app *App) Draw(screen *ebiten.Image) {
-	select {
-	case img := <-app.Img:
-		app.img = ebiten.NewImageFromImage(img)
-	default:
-	}
-	if app.img != nil {
-		screen.DrawImage(app.img, nil)
-	}
-}
-
-func (app *App) Layout(outsideWidth, outsideHeight int) (screenWidth, screenHeight int) {
-	return outsideWidth, outsideHeight
-}
diff --git a/Gradient_Descent/go.mod b/Gradient_Descent/go.mod
deleted file mode 100644
index fd11da7..0000000
--- a/Gradient_Descent/go.mod
+++ /dev/null
@@ -1,27 +0,0 @@
-module github.com/prog-1/gradient-descent
-
-go 1.21.1
-
-require (
-	github.com/hajimehoshi/ebiten/v2 v2.6.3
-	gonum.org/v1/plot v0.14.0
-)
-
-require (
-	git.sr.ht/~sbinet/gg v0.5.0 // indirect
-	github.com/ajstarks/svgo v0.0.0-20211024235047-1546f124cd8b // indirect
-	github.com/campoy/embedmd v1.0.0 // indirect
-	github.com/ebitengine/purego v0.5.0 // indirect
-	github.com/go-fonts/liberation v0.3.1 // indirect
-	github.com/go-latex/latex v0.0.0-20230307184459-12ec69307ad9 // indirect
-	github.com/go-pdf/fpdf v0.8.0 // indirect
-	github.com/golang/freetype v0.0.0-20170609003504-e2365dfdc4a0 // indirect
-	github.com/jezek/xgb v1.1.0 // indirect
-	github.com/pmezard/go-difflib v1.0.0 // indirect
-	golang.org/x/exp/shiny v0.0.0-20230817173708-d852ddb80c63 // indirect
-	golang.org/x/image v0.12.0 // indirect
-	golang.org/x/mobile v0.0.0-20230922142353-e2f452493d57 // indirect
-	golang.org/x/sync v0.3.0 // indirect
-	golang.org/x/sys v0.12.0 // indirect
-	golang.org/x/text v0.13.0 // indirect
-)
diff --git a/Gradient_Descent/go.sum b/Gradient_Descent/go.sum
deleted file mode 100644
index 3acb0f1..0000000
--- a/Gradient_Descent/go.sum
+++ /dev/null
@@ -1,96 +0,0 @@
-git.sr.ht/~sbinet/cmpimg v0.1.0 h1:E0zPRk2muWuCqSKSVZIWsgtU9pjsw3eKHi8VmQeScxo=
-git.sr.ht/~sbinet/cmpimg v0.1.0/go.mod h1:FU12psLbF4TfNXkKH2ZZQ29crIqoiqTZmeQ7dkp/pxE=
-git.sr.ht/~sbinet/gg v0.5.0 h1:6V43j30HM623V329xA9Ntq+WJrMjDxRjuAB1LFWF5m8=
-git.sr.ht/~sbinet/gg v0.5.0/go.mod h1:G2C0eRESqlKhS7ErsNey6HHrqU1PwsnCQlekFi9Q2Oo=
-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/campoy/embedmd v1.0.0 h1:V4kI2qTJJLf4J29RzI/MAt2c3Bl4dQSYPuflzwFH2hY=
-github.com/campoy/embedmd v1.0.0/go.mod h1:oxyr9RCiSXg0M3VJ3ks0UGfp98BpSSGr0kpiX3MzVl8=
-github.com/ebitengine/purego v0.5.0 h1:JrMGKfRIAM4/QVKaesIIT7m/UVjTj5GYhRSQYwfVdpo=
-github.com/ebitengine/purego v0.5.0/go.mod h1:ah1In8AOtksoNK6yk5z1HTJeUkC1Ez4Wk2idgGslMwQ=
-github.com/go-fonts/dejavu v0.1.0 h1:JSajPXURYqpr+Cu8U9bt8K+XcACIHWqWrvWCKyeFmVQ=
-github.com/go-fonts/dejavu v0.1.0/go.mod h1:4Wt4I4OU2Nq9asgDCteaAaWZOV24E+0/Pwo0gppep4g=
-github.com/go-fonts/latin-modern v0.3.1 h1:/cT8A7uavYKvglYXvrdDw4oS5ZLkcOU22fa2HJ1/JVM=
-github.com/go-fonts/latin-modern v0.3.1/go.mod h1:ysEQXnuT/sCDOAONxC7ImeEDVINbltClhasMAqEtRK0=
-github.com/go-fonts/liberation v0.3.1 h1:9RPT2NhUpxQ7ukUvz3jeUckmN42T9D9TpjtQcqK/ceM=
-github.com/go-fonts/liberation v0.3.1/go.mod h1:jdJ+cqF+F4SUL2V+qxBth8fvBpBDS7yloUL5Fi8GTGY=
-github.com/go-latex/latex v0.0.0-20230307184459-12ec69307ad9 h1:NxXI5pTAtpEaU49bpLpQoDsu1zrteW/vxzTz8Cd2UAs=
-github.com/go-latex/latex v0.0.0-20230307184459-12ec69307ad9/go.mod h1:gWuR/CrFDDeVRFQwHPvsv9soJVB/iqymhuZQuJ3a9OM=
-github.com/go-pdf/fpdf v0.8.0 h1:IJKpdaagnWUeSkUFUjTcSzTppFxmv8ucGQyNPQWxYOQ=
-github.com/go-pdf/fpdf v0.8.0/go.mod h1:gfqhcNwXrsd3XYKte9a7vM3smvU/jB4ZRDrmWSxpfdc=
-github.com/golang/freetype v0.0.0-20170609003504-e2365dfdc4a0 h1:DACJavvAHhabrF08vX0COfcOBJRhZ8lUbR+ZWIs0Y5g=
-github.com/golang/freetype v0.0.0-20170609003504-e2365dfdc4a0/go.mod h1:E/TSTwGwJL78qG/PmXZO1EjYhfJinVAhrmmHX6Z8B9k=
-github.com/hajimehoshi/ebiten/v2 v2.6.3 h1:xJ5klESxhflZbPUx3GdIPoITzgPgamsyv8aZCVguXGI=
-github.com/hajimehoshi/ebiten/v2 v2.6.3/go.mod h1:TZtorL713an00UW4LyvMeKD8uXWnuIuCPtlH11b0pgI=
-github.com/jezek/xgb v1.1.0 h1:wnpxJzP1+rkbGclEkmwpVFQWpuE2PUGNUzP8SbfFobk=
-github.com/jezek/xgb v1.1.0/go.mod h1:nrhwO0FX/enq75I7Y7G8iN1ubpSGZEiA3v9e9GyRFlk=
-github.com/kisielk/gotool v1.0.0/go.mod h1:XhKaO+MFFWcvkIS/tQcRk01m1F5IRFswLeQ+oQHNcck=
-github.com/pmezard/go-difflib v1.0.0 h1:4DBwDE0NGyQoBHbLQYPwSUPoCMWR5BEzIk/f1lZbAQM=
-github.com/pmezard/go-difflib v1.0.0/go.mod h1:iKH77koFhYxTK1pcRnkKkqfTogsbg7gZNVY4sRDYZ/4=
-github.com/yuin/goldmark v1.2.1/go.mod h1:3hX8gzYuyVAZsxl0MRgGTJEmQBFcNTphYh9decYSb74=
-github.com/yuin/goldmark v1.4.13/go.mod h1:6yULJ656Px+3vBD8DxQVa3kxgyrAnzto9xy5taEt/CY=
-golang.org/x/crypto v0.0.0-20190308221718-c2843e01d9a2/go.mod h1:djNgcEr1/C05ACkg1iLfiJU5Ep61QUkGW8qpdssI0+w=
-golang.org/x/crypto v0.0.0-20191011191535-87dc89f01550/go.mod h1:yigFU9vqHzYiE8UmvKecakEJjdnWj3jj499lnFckfCI=
-golang.org/x/crypto v0.0.0-20200622213623-75b288015ac9/go.mod h1:LzIPMQfyMNhhGPhUkYOs5KpL4U8rLKemX1yGLhDgUto=
-golang.org/x/crypto v0.0.0-20210921155107-089bfa567519/go.mod h1:GvvjBRRGRdwPK5ydBHafDWAxML/pGHZbMvKqRZ5+Abc=
-golang.org/x/exp v0.0.0-20230801115018-d63ba01acd4b h1:r+vk0EmXNmekl0S0BascoeeoHk/L7wmaW2QF90K+kYI=
-golang.org/x/exp v0.0.0-20230801115018-d63ba01acd4b/go.mod h1:FXUEEKJgO7OQYeo8N01OfiKP8RXMtf6e8aTskBGqWdc=
-golang.org/x/exp/shiny v0.0.0-20230817173708-d852ddb80c63 h1:3AGKexOYqL+ztdWdkB1bDwXgPBuTS/S8A4WzuTvJ8Cg=
-golang.org/x/exp/shiny v0.0.0-20230817173708-d852ddb80c63/go.mod h1:UH99kUObWAZkDnWqppdQe5ZhPYESUw8I0zVV1uWBR+0=
-golang.org/x/image v0.12.0 h1:w13vZbU4o5rKOFFR8y7M+c4A5jXDC0uXTdHYRP8X2DQ=
-golang.org/x/image v0.12.0/go.mod h1:Lu90jvHG7GfemOIcldsh9A2hS01ocl6oNO7ype5mEnk=
-golang.org/x/mobile v0.0.0-20230922142353-e2f452493d57 h1:Q6NT8ckDYNcwmi/bmxe+XbiDMXqMRW1xFBtJ+bIpie4=
-golang.org/x/mobile v0.0.0-20230922142353-e2f452493d57/go.mod h1:wEyOn6VvNW7tcf+bW/wBz1sehi2s2BZ4TimyR7qZen4=
-golang.org/x/mod v0.3.0/go.mod h1:s0Qsj1ACt9ePp/hMypM3fl4fZqREWJwdYDEqhRiZZUA=
-golang.org/x/mod v0.6.0-dev.0.20220419223038-86c51ed26bb4/go.mod h1:jJ57K6gSWd91VN4djpZkiMVwK6gcyfeH4XE8wZrZaV4=
-golang.org/x/mod v0.8.0/go.mod h1:iBbtSCu2XBx23ZKBPSOrRkjjQPZFPuis4dIYUhu/chs=
-golang.org/x/net v0.0.0-20190404232315-eb5bcb51f2a3/go.mod h1:t9HGtf8HONx5eT2rtn7q6eTqICYqUVnKs3thJo3Qplg=
-golang.org/x/net v0.0.0-20190620200207-3b0461eec859/go.mod h1:z5CRVTTTmAJ677TzLLGU+0bjPO0LkuOLi4/5GtJWs/s=
-golang.org/x/net v0.0.0-20201021035429-f5854403a974/go.mod h1:sp8m0HH+o8qH0wwXwYZr8TS3Oi6o0r6Gce1SSxlDquU=
-golang.org/x/net v0.0.0-20210226172049-e18ecbb05110/go.mod h1:m0MpNAwzfU5UDzcl9v0D8zg8gWTRqZa9RBIspLL5mdg=
-golang.org/x/net v0.0.0-20220722155237-a158d28d115b/go.mod h1:XRhObCWvk6IyKnWLug+ECip1KBveYUHfp+8e9klMJ9c=
-golang.org/x/net v0.6.0/go.mod h1:2Tu9+aMcznHK/AK1HMvgo6xiTLG5rD5rZLDS+rp2Bjs=
-golang.org/x/sync v0.0.0-20190423024810-112230192c58/go.mod h1:RxMgew5VJxzue5/jJTE5uejpjVlOe/izrB70Jof72aM=
-golang.org/x/sync v0.0.0-20201020160332-67f06af15bc9/go.mod h1:RxMgew5VJxzue5/jJTE5uejpjVlOe/izrB70Jof72aM=
-golang.org/x/sync v0.0.0-20220722155255-886fb9371eb4/go.mod h1:RxMgew5VJxzue5/jJTE5uejpjVlOe/izrB70Jof72aM=
-golang.org/x/sync v0.1.0/go.mod h1:RxMgew5VJxzue5/jJTE5uejpjVlOe/izrB70Jof72aM=
-golang.org/x/sync v0.3.0 h1:ftCYgMx6zT/asHUrPw8BLLscYtGznsLAnjq5RH9P66E=
-golang.org/x/sync v0.3.0/go.mod h1:FU7BRWz2tNW+3quACPkgCx/L+uEAv1htQ0V83Z9Rj+Y=
-golang.org/x/sys v0.0.0-20190215142949-d0b11bdaac8a/go.mod h1:STP8DvDyc/dI5b8T5hshtkjS+E42TnysNCUPdjciGhY=
-golang.org/x/sys v0.0.0-20190412213103-97732733099d/go.mod h1:h1NjWce9XRLGQEsW7wpKNCjG9DtNlClVuFLEZdDNbEs=
-golang.org/x/sys v0.0.0-20200930185726-fdedc70b468f/go.mod h1:h1NjWce9XRLGQEsW7wpKNCjG9DtNlClVuFLEZdDNbEs=
-golang.org/x/sys v0.0.0-20201119102817-f84b799fce68/go.mod h1:h1NjWce9XRLGQEsW7wpKNCjG9DtNlClVuFLEZdDNbEs=
-golang.org/x/sys v0.0.0-20210119212857-b64e53b001e4/go.mod h1:h1NjWce9XRLGQEsW7wpKNCjG9DtNlClVuFLEZdDNbEs=
-golang.org/x/sys v0.0.0-20210615035016-665e8c7367d1/go.mod h1:oPkhp1MJrh7nUepCBck5+mAzfO9JrbApNNgaTdGDITg=
-golang.org/x/sys v0.0.0-20220520151302-bc2c85ada10a/go.mod h1:oPkhp1MJrh7nUepCBck5+mAzfO9JrbApNNgaTdGDITg=
-golang.org/x/sys v0.0.0-20220722155257-8c9f86f7a55f/go.mod h1:oPkhp1MJrh7nUepCBck5+mAzfO9JrbApNNgaTdGDITg=
-golang.org/x/sys v0.5.0/go.mod h1:oPkhp1MJrh7nUepCBck5+mAzfO9JrbApNNgaTdGDITg=
-golang.org/x/sys v0.12.0 h1:CM0HF96J0hcLAwsHPJZjfdNzs0gftsLfgKt57wWHJ0o=
-golang.org/x/sys v0.12.0/go.mod h1:oPkhp1MJrh7nUepCBck5+mAzfO9JrbApNNgaTdGDITg=
-golang.org/x/term v0.0.0-20201126162022-7de9c90e9dd1/go.mod h1:bj7SfCRtBDWHUb9snDiAeCFNEtKQo2Wmx5Cou7ajbmo=
-golang.org/x/term v0.0.0-20210927222741-03fcf44c2211/go.mod h1:jbD1KX2456YbFQfuXm/mYQcufACuNUgVhRMnK/tPxf8=
-golang.org/x/term v0.5.0/go.mod h1:jMB1sMXY+tzblOD4FWmEbocvup2/aLOaQEp7JmGp78k=
-golang.org/x/text v0.3.0/go.mod h1:NqM8EUOU14njkJ3fqMW+pc6Ldnwhi/IjpwHt7yyuwOQ=
-golang.org/x/text v0.3.3/go.mod h1:5Zoc/QRtKVWzQhOtBMvqHzDpF6irO9z98xDceosuGiQ=
-golang.org/x/text v0.3.7/go.mod h1:u+2+/6zg+i71rQMx5EYifcz6MCKuco9NR6JIITiCfzQ=
-golang.org/x/text v0.7.0/go.mod h1:mrYo+phRRbMaCq/xk9113O4dZlRixOauAjOtrjsXDZ8=
-golang.org/x/text v0.13.0 h1:ablQoSUd0tRdKxZewP80B+BaqeKJuVhuRxj/dkrun3k=
-golang.org/x/text v0.13.0/go.mod h1:TvPlkZtksWOMsz7fbANvkp4WM8x/WCo/om8BMLbz+aE=
-golang.org/x/tools v0.0.0-20180917221912-90fa682c2a6e/go.mod h1:n7NCudcB/nEzxVGmLbDWY5pfWTLqBcC2KZ6jyYvM4mQ=
-golang.org/x/tools v0.0.0-20191119224855-298f0cb1881e/go.mod h1:b+2E5dAYhXwXZwtnZ6UAqBI28+e2cm9otk0dWdXHAEo=
-golang.org/x/tools v0.1.0/go.mod h1:xkSsbof2nBLbhDlRMhhhyNLN/zl3eTqcnHD5viDpcZ0=
-golang.org/x/tools v0.1.12/go.mod h1:hNGJHUnrk76NpqgfD5Aqm5Crs+Hm0VOH/i9J2+nxYbc=
-golang.org/x/tools v0.6.0/go.mod h1:Xwgl3UAJ/d3gWutnCtw505GrjyAbvKui8lOU390QaIU=
-golang.org/x/xerrors v0.0.0-20190717185122-a985d3407aa7/go.mod h1:I/5z698sn9Ka8TeJc9MKroUUfqBBauWjQqLJ2OPfmY0=
-golang.org/x/xerrors v0.0.0-20191011141410-1b5146add898/go.mod h1:I/5z698sn9Ka8TeJc9MKroUUfqBBauWjQqLJ2OPfmY0=
-golang.org/x/xerrors v0.0.0-20200804184101-5ec99f83aff1/go.mod h1:I/5z698sn9Ka8TeJc9MKroUUfqBBauWjQqLJ2OPfmY0=
-gonum.org/v1/gonum v0.14.0 h1:2NiG67LD1tEH0D7kM+ps2V+fXmsAnpUeec7n8tcr4S0=
-gonum.org/v1/gonum v0.14.0/go.mod h1:AoWeoz0becf9QMWtE8iWXNXc27fK4fNeHNf/oMejGfU=
-gonum.org/v1/plot v0.14.0 h1:+LBDVFYwFe4LHhdP8coW6296MBEY4nQ+Y4vuUpJopcE=
-gonum.org/v1/plot v0.14.0/go.mod h1:MLdR9424SJed+5VqC6MsouEpig9pZX2VZ57H9ko2bXU=
-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/Gradient_Descent/main.go b/Gradient_Descent/main.go
deleted file mode 100644
index e39985b..0000000
--- a/Gradient_Descent/main.go
+++ /dev/null
@@ -1,33 +0,0 @@
-package main
-
-import (
-	"image"
-	"log"
-	"time"
-
-	"github.com/hajimehoshi/ebiten/v2"
-)
-
-func f(x float64) float64  { return x*x + 5*x - 3 }
-func df(x float64) float64 { return 2*x + 5 }
-
-func main() {
-	ebiten.SetWindowSize(640, 480)
-	ebiten.SetWindowTitle("Gradient descent")
-
-	img := make(chan *image.RGBA, 1)
-	go func() {
-		p := Plot(-5, 0, 0.1, f)
-		x := 0.0
-		img <- p(x)
-		for i := 0; i < 50; i++ {
-			time.Sleep(30 * time.Millisecond)
-			x -= df(x) * 0.1
-			img <- p(x)
-		}
-	}()
-
-	if err := ebiten.RunGame(&App{Img: img}); err != nil {
-		log.Fatal(err)
-	}
-}
diff --git a/Gradient_Descent/plot.go b/Gradient_Descent/plot.go
deleted file mode 100644
index ebad8a9..0000000
--- a/Gradient_Descent/plot.go
+++ /dev/null
@@ -1,60 +0,0 @@
-package main
-
-import (
-	"fmt"
-	"image"
-	"image/color"
-	"log"
-
-	"gonum.org/v1/plot"
-	"gonum.org/v1/plot/plotter"
-	"gonum.org/v1/plot/vg"
-	"gonum.org/v1/plot/vg/draw"
-	"gonum.org/v1/plot/vg/vgimg"
-)
-
-func Plot(xmin, xmax, xstep float64, f func(float64) float64) func(x float64) *image.RGBA {
-	var pts plotter.XYs
-	for x := xmin; x <= xmax; x += xstep {
-		pts = append(pts, plotter.XY{X: x, Y: f(x)})
-	}
-	fn, err := plotter.NewLine(pts)
-	if err != nil {
-		log.Fatalf("Failed to NewLine: %v", err)
-	}
-	fn.Color = color.RGBA{B: 255, A: 255}
-	return func(x float64) *image.RGBA {
-		pts := plotter.XYs{{X: x, Y: f(x)}}
-		xScatter, err := plotter.NewScatter(pts)
-		if err != nil {
-			log.Fatalf("Failed to NewScatter: %v", err)
-		}
-		xScatter.Color = color.RGBA{R: 255, A: 255}
-
-		labels, err := plotter.NewLabels(plotter.XYLabels{
-			XYs:    pts,
-			Labels: []string{fmt.Sprintf("x = %.2f", x)},
-		})
-		labels.Offset = vg.Point{X: -10, Y: 15}
-		if err != nil {
-			log.Fatalf("Failed to NewLabels: %v", err)
-		}
-
-		p := plot.New()
-		p.Add(
-			plotter.NewGrid(),
-			fn,
-			xScatter,
-			labels,
-		)
-		p.Legend.Add("f(x)", fn)
-		p.Legend.Add("x", xScatter)
-		p.X.Label.Text = "X"
-		p.Y.Label.Text = "Y"
-
-		img := image.NewRGBA(image.Rect(0, 0, 640, 480))
-		c := vgimg.NewWith(vgimg.UseImage(img))
-		p.Draw(draw.New(c))
-		return c.Image().(*image.RGBA)
-	}
-}
diff --git a/Linear_Regression/go.mod b/Linear_Regression/go.mod
deleted file mode 100644
index abcf32d..0000000
--- a/Linear_Regression/go.mod
+++ /dev/null
@@ -1,32 +0,0 @@
-module main.go
-
-go 1.21.1
-
-require (
-	gioui.org v0.4.2 // indirect
-	gioui.org/cpu v0.0.0-20220412190645-f1e9e8c3b1f7 // indirect
-	gioui.org/shader v1.0.8 // indirect
-	gioui.org/x v0.4.0 // indirect
-	git.sr.ht/~sbinet/gg v0.5.0 // indirect
-	github.com/ajstarks/svgo v0.0.0-20211024235047-1546f124cd8b // indirect
-	github.com/andybalholm/stroke v0.0.0-20230904101225-24ef450bc62c // indirect
-	github.com/campoy/embedmd v1.0.0 // indirect
-	github.com/ebitengine/purego v0.5.1 // indirect
-	github.com/go-fonts/liberation v0.3.2 // indirect
-	github.com/go-latex/latex v0.0.0-20231108140139-5c1ce85aa4ea // indirect
-	github.com/go-pdf/fpdf v0.9.0 // indirect
-	github.com/go-text/typesetting v0.1.0 // indirect
-	github.com/golang/freetype v0.0.0-20170609003504-e2365dfdc4a0 // indirect
-	github.com/hajimehoshi/ebiten/v2 v2.6.3 // indirect
-	github.com/jezek/xgb v1.1.1 // indirect
-	github.com/pmezard/go-difflib v1.0.0 // indirect
-	golang.org/x/exp v0.0.0-20240112132812-db7319d0e0e3 // indirect
-	golang.org/x/exp/shiny v0.0.0-20240112132812-db7319d0e0e3 // indirect
-	golang.org/x/image v0.15.0 // indirect
-	golang.org/x/mobile v0.0.0-20240112133503-c713f31d574b // indirect
-	golang.org/x/sync v0.6.0 // indirect
-	golang.org/x/sys v0.16.0 // indirect
-	golang.org/x/text v0.14.0 // indirect
-	gonum.org/v1/plot v0.14.0 // indirect
-	rsc.io/pdf v0.1.1 // indirect
-)
diff --git a/Linear_Regression/go.sum b/Linear_Regression/go.sum
deleted file mode 100644
index 10b8466..0000000
--- a/Linear_Regression/go.sum
+++ /dev/null
@@ -1,120 +0,0 @@
-gioui.org v0.4.2 h1:txwggR/n2YYAkhnwgTpqk/5h5Fy7SkI20hOrbwlOyGE=
-gioui.org v0.4.2/go.mod h1:2atiYR4upH71/6ehnh6XsUELa7JZOrOHHNMDxGBZF0Q=
-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=
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diff --git a/Linear_Regression/linear_regression.png b/Linear_Regression/linear_regression.png
deleted file mode 100644
index b2ccbeb1eef8274314b7aed53d81553867496b8e..0000000000000000000000000000000000000000
GIT binary patch
literal 0
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diff --git a/Linear_Regression/main.go b/Linear_Regression/main.go
deleted file mode 100644
index 5506639..0000000
--- a/Linear_Regression/main.go
+++ /dev/null
@@ -1,80 +0,0 @@
-package main
-
-import (
-	"fmt"
-)
-
-type Line struct {
-	k float64
-	b float64
-}
-
-func (l *Line) Training(x, y []float64, learningRate float64, epochs int) {
-	m := float64(len(x))
-
-	for epoch := 1; epoch <= epochs; epoch++ {
-
-		// Making calculations
-		calculations := make([]float64, len(x))
-		for i := range x {
-			calculations[i] = l.calculate(x[i])
-		}
-
-		// Calculating errors
-		errors := make([]float64, len(y))
-		for i := range y {
-			errors[i] = calculations[i] - y[i]
-		}
-
-		l.k -= learningRate * (1 / m) * twoSliceSum(errors, x)
-		l.b -= learningRate * (1 / m) * sliceSum(errors)
-
-		loss := average(errors)
-		fmt.Printf("Epoch %d, Cost: %f\n", epoch, loss)
-	}
-}
-
-func (l *Line) calculate(x float64) float64 {
-	return l.k*x + l.b
-}
-
-func twoSliceSum(slice1, slice2 []float64) float64 {
-	result := 0.0
-	for i := range slice1 {
-		result += slice1[i] * slice2[i]
-	}
-	return result
-}
-
-func sliceSum(slice1 []float64) float64 {
-	result := 0.0
-	for i := range slice1 {
-		result += slice1[i]
-	}
-	return result
-}
-
-func average(s []float64) float64 {
-	return sliceSum(s) / float64(len(s))
-}
-
-func main() {
-	// Points
-	x := []float64{0, -0.5, 0.5, 1, 2.5}
-	y := []float64{1, 0, 2, 3, 6}
-
-	//Line initialization
-	lr := Line{}
-
-	// Training
-	learningRate := 0.01
-	epochs := 1000
-
-	lr.Training(x, y, learningRate, epochs)
-
-	fmt.Printf("Trained Coefficients: Slope=%.2f, Intercept=%.2f\n", lr.k, lr.b)
-
-	newX := 6.0
-	regression := lr.calculate(newX)
-	fmt.Printf("Regression for X=%.2f: %.2f\n", newX, regression)
-}

From 308c44353bde2c69bc8448832fc7a37d06b7ff14 Mon Sep 17 00:00:00 2001
From: vay4ie <vay4ie@gmail.com>
Date: Thu, 25 Jan 2024 16:21:04 +0200
Subject: [PATCH 4/5] Recreated linear regression

---
 app.go              |  34 +++++++++++++++
 go.mod              |  33 +++++++++++++++
 go.sum              | 101 ++++++++++++++++++++++++++++++++++++++++++++
 linearRegression.go |  57 +++++++++++++++++++++++++
 main.go             |  47 +++++++++++++++++++++
 plot.go             |  64 ++++++++++++++++++++++++++++
 6 files changed, 336 insertions(+)
 create mode 100644 app.go
 create mode 100644 go.mod
 create mode 100644 go.sum
 create mode 100644 linearRegression.go
 create mode 100644 main.go
 create mode 100644 plot.go

diff --git a/app.go b/app.go
new file mode 100644
index 0000000..894d3df
--- /dev/null
+++ b/app.go
@@ -0,0 +1,34 @@
+package main
+
+import (
+	"github.com/hajimehoshi/ebiten/v2"
+	"gonum.org/v1/plot"
+)
+
+const (
+	sW = 1250
+	sH = 720
+)
+
+type App struct {
+	width, height int        //screen width & height
+	plot          *plot.Plot //global access to plot
+}
+
+func (a *App) Update() error {
+	return nil
+}
+
+func (a *App) Draw(screen *ebiten.Image) {
+	if a.plot != nil { //to avoid crash at the start
+		screen.DrawImage(PlotToImage(a.plot), &ebiten.DrawImageOptions{}) //drawing plot
+	}
+}
+
+func (a *App) Layout(inWidth, inHeight int) (outWidth, outHeight int) {
+	return a.width, a.height
+}
+
+func NewApp(width, height int) *App {
+	return &App{width: width, height: height}
+}
diff --git a/go.mod b/go.mod
new file mode 100644
index 0000000..113ff28
--- /dev/null
+++ b/go.mod
@@ -0,0 +1,33 @@
+module main.go
+
+go 1.21.1
+
+require github.com/hajimehoshi/ebiten/v2 v2.6.3
+
+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 v0.5.0 // 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/ebitengine/purego v0.5.0 // indirect
+	github.com/go-fonts/liberation v0.3.1 // indirect
+	github.com/go-latex/latex v0.0.0-20230307184459-12ec69307ad9 // indirect
+	github.com/go-pdf/fpdf v0.8.0 // indirect
+	github.com/go-text/typesetting v0.0.0-20230905121921-abdbcca6e0eb // indirect
+	github.com/golang/freetype v0.0.0-20170609003504-e2365dfdc4a0 // indirect
+	github.com/jezek/xgb v1.1.0 // indirect
+	github.com/pmezard/go-difflib v1.0.0 // indirect
+	golang.org/x/exp v0.0.0-20230801115018-d63ba01acd4b // indirect
+	golang.org/x/exp/shiny v0.0.0-20230817173708-d852ddb80c63 // indirect
+	golang.org/x/image v0.12.0 // indirect
+	golang.org/x/mobile v0.0.0-20230922142353-e2f452493d57 // indirect
+	golang.org/x/sync v0.3.0 // indirect
+	golang.org/x/sys v0.12.0 // indirect
+	golang.org/x/text v0.13.0 // indirect
+	gonum.org/v1/plot v0.14.0 // indirect
+	rsc.io/pdf v0.1.1 // indirect
+)
diff --git a/go.sum b/go.sum
new file mode 100644
index 0000000..064640b
--- /dev/null
+++ b/go.sum
@@ -0,0 +1,101 @@
+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 v0.5.0 h1:6V43j30HM623V329xA9Ntq+WJrMjDxRjuAB1LFWF5m8=
+git.sr.ht/~sbinet/gg v0.5.0/go.mod h1:G2C0eRESqlKhS7ErsNey6HHrqU1PwsnCQlekFi9Q2Oo=
+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/ebitengine/purego v0.5.0 h1:JrMGKfRIAM4/QVKaesIIT7m/UVjTj5GYhRSQYwfVdpo=
+github.com/ebitengine/purego v0.5.0/go.mod h1:ah1In8AOtksoNK6yk5z1HTJeUkC1Ez4Wk2idgGslMwQ=
+github.com/go-fonts/liberation v0.3.1 h1:9RPT2NhUpxQ7ukUvz3jeUckmN42T9D9TpjtQcqK/ceM=
+github.com/go-fonts/liberation v0.3.1/go.mod h1:jdJ+cqF+F4SUL2V+qxBth8fvBpBDS7yloUL5Fi8GTGY=
+github.com/go-latex/latex v0.0.0-20230307184459-12ec69307ad9 h1:NxXI5pTAtpEaU49bpLpQoDsu1zrteW/vxzTz8Cd2UAs=
+github.com/go-latex/latex v0.0.0-20230307184459-12ec69307ad9/go.mod h1:gWuR/CrFDDeVRFQwHPvsv9soJVB/iqymhuZQuJ3a9OM=
+github.com/go-pdf/fpdf v0.8.0 h1:IJKpdaagnWUeSkUFUjTcSzTppFxmv8ucGQyNPQWxYOQ=
+github.com/go-pdf/fpdf v0.8.0/go.mod h1:gfqhcNwXrsd3XYKte9a7vM3smvU/jB4ZRDrmWSxpfdc=
+github.com/go-text/typesetting v0.0.0-20230905121921-abdbcca6e0eb h1:4GpJirtA8yY24aqbU3uppiXGYiVpWfLIrqc2NNKKk9s=
+github.com/go-text/typesetting v0.0.0-20230905121921-abdbcca6e0eb/go.mod h1:evDBbvNR/KaVFZ2ZlDSOWWXIUKq0wCOEtzLxRM8SG3k=
+github.com/golang/freetype v0.0.0-20170609003504-e2365dfdc4a0 h1:DACJavvAHhabrF08vX0COfcOBJRhZ8lUbR+ZWIs0Y5g=
+github.com/golang/freetype v0.0.0-20170609003504-e2365dfdc4a0/go.mod h1:E/TSTwGwJL78qG/PmXZO1EjYhfJinVAhrmmHX6Z8B9k=
+github.com/hajimehoshi/ebiten/v2 v2.6.3 h1:xJ5klESxhflZbPUx3GdIPoITzgPgamsyv8aZCVguXGI=
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+github.com/jezek/xgb v1.1.0 h1:wnpxJzP1+rkbGclEkmwpVFQWpuE2PUGNUzP8SbfFobk=
+github.com/jezek/xgb v1.1.0/go.mod h1:nrhwO0FX/enq75I7Y7G8iN1ubpSGZEiA3v9e9GyRFlk=
+github.com/kisielk/gotool v1.0.0/go.mod h1:XhKaO+MFFWcvkIS/tQcRk01m1F5IRFswLeQ+oQHNcck=
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+golang.org/x/exp/shiny v0.0.0-20230817173708-d852ddb80c63 h1:3AGKexOYqL+ztdWdkB1bDwXgPBuTS/S8A4WzuTvJ8Cg=
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diff --git a/linearRegression.go b/linearRegression.go
new file mode 100644
index 0000000..c985142
--- /dev/null
+++ b/linearRegression.go
@@ -0,0 +1,57 @@
+package main
+
+import (
+	"fmt"
+	"time"
+)
+
+const (
+	lrK    = 0.0001
+	lrB    = 0.0001
+	epochs = 10
+)
+
+//#######################################################################
+
+func loss(k, b float64, px, py []float64) float64 {
+	totalE := 0.0 // error
+	for i := range px {
+		x := px[i]
+		y := py[i]
+		totalE += (y - (k*x + b)) * 2
+	}
+	totalE /= float64(len(px))
+
+	return totalE
+}
+
+func inference(x, k, b float64) float64 {
+	return k*x + b
+}
+
+func gradientDescent(k, b float64, px, py []float64) (float64, float64) {
+	dk, db := 0.0, 0.0 // gradients for coefficients
+	n := float64(len(px))
+	for i := range px {
+		x := px[i]
+		y := py[i]
+		dk -= (2 / n) * (y - (k*x + b)) * x
+		db -= (2 / n) * (y - (k*x + b))
+	}
+	k -= dk * lrK
+	b -= db * lrB
+	return k, b
+}
+
+func (a *App) linearRegression(px, py []float64) (k, b float64) {
+	for epoch := 1; epoch <= epochs; epoch++ {
+		k, b = gradientDescent(k, b, px, py)
+		a.updatePlot(k, b, px, py)
+		fmt.Println("Epoch:", epoch, "Loss:", loss(k, b, px, py))
+		time.Sleep(time.Second)
+	}
+
+	return k, b
+}
+
+//#######################################################################
diff --git a/main.go b/main.go
new file mode 100644
index 0000000..6952152
--- /dev/null
+++ b/main.go
@@ -0,0 +1,47 @@
+package main
+
+import (
+	"log"
+	"math/rand"
+
+	"github.com/hajimehoshi/ebiten/v2"
+)
+
+const (
+	numberOfPoints     = 20
+	pointMin, pointMax = 30, 70 //point distribution
+	lineMin, lineMax   = 0, 100 //line lenght
+)
+
+func main() {
+
+	//####################### Linear Regression #########################
+
+	//Generating random points
+	px := make([]float64, numberOfPoints)
+	py := make([]float64, numberOfPoints)
+	for i := 0; i < numberOfPoints; i++ {
+		px[i] = (rand.Float64()*(pointMax-pointMin) + pointMin)
+		py[i] = (rand.Float64()*(pointMax-pointMin) + pointMin)
+	}
+
+	//####################### Ebiten ####################################
+
+	//Window
+	ebiten.SetWindowSize(sW, sH)
+	ebiten.SetWindowTitle("Linear Regression")
+
+	//App instance
+	a := NewApp(sW, sH)
+
+	//
+	go func() {
+		a.linearRegression(px, py)
+	}()
+
+	//Running game
+	if err := ebiten.RunGame(a); err != nil {
+		log.Fatal(err)
+	}
+
+}
diff --git a/plot.go b/plot.go
new file mode 100644
index 0000000..1f99b98
--- /dev/null
+++ b/plot.go
@@ -0,0 +1,64 @@
+package main
+
+import (
+	"image"
+
+	"github.com/hajimehoshi/ebiten/v2"
+	"gonum.org/v1/plot"
+	"gonum.org/v1/plot/plotter"
+	"gonum.org/v1/plot/vg/draw"
+	"gonum.org/v1/plot/vg/vgimg"
+)
+
+// Converting plot to ebiten.Image
+func PlotToImage(p *plot.Plot) *ebiten.Image {
+
+	img := image.NewRGBA(image.Rect(0, 0, sW, sH)) //creating image.RGBA to store the plot
+
+	c := vgimg.NewWith(vgimg.UseImage(img)) //creating plot drawer for the image
+
+	p.Draw(draw.New(c)) //drawing plot on the image
+
+	return ebiten.NewImageFromImage(c.Image()) //converting image.RGBA to ebiten.Image (doing in Draw)
+	///Black screen issue: was giving "img" instead of "c.Image()" in the function.
+}
+
+// recreating plot with given data
+func (a *App) updatePlot(k, b float64, px, py []float64) {
+
+	p := plot.New() //initializing plot
+
+	//##################################################
+
+	//Line
+
+	linePoints := plotter.XYs{
+		{X: lineMin, Y: inference(lineMin, k, b)},
+		{X: lineMax, Y: inference(lineMax, k, b)},
+	}
+
+	line, _ := plotter.NewLine(linePoints) //creating line
+
+	p.Add(line) //adding line to the plot°
+
+	//##################################################
+
+	//Points
+
+	var points plotter.XYs //initializing point plotter
+
+	for i := 0; i < len(px); i++ {
+		points = append(points, plotter.XY{X: px[i], Y: py[i]}) //Saving all points in plotter
+	}
+
+	scatter, _ := plotter.NewScatter(points) //creating new scatter from point data
+
+	p.Add(scatter) //adding points to plot
+
+	//##################################################
+
+	//App
+
+	a.plot = p //replacing old plot with new one
+
+}

From d966cd93928efcd2e7370ffa871cf65e21c2431e Mon Sep 17 00:00:00 2001
From: vay4ie <vay4ie@gmail.com>
Date: Thu, 25 Jan 2024 16:35:45 +0200
Subject: [PATCH 5/5] Played with learning rate

---
 linearRegression.go | 17 +++++++++++------
 1 file changed, 11 insertions(+), 6 deletions(-)

diff --git a/linearRegression.go b/linearRegression.go
index c985142..815973e 100644
--- a/linearRegression.go
+++ b/linearRegression.go
@@ -6,9 +6,9 @@ import (
 )
 
 const (
+	lrB    = 0.1
 	lrK    = 0.0001
-	lrB    = 0.0001
-	epochs = 10
+	epochs = 1000
 )
 
 //#######################################################################
@@ -29,7 +29,7 @@ func inference(x, k, b float64) float64 {
 	return k*x + b
 }
 
-func gradientDescent(k, b float64, px, py []float64) (float64, float64) {
+func gradientDescent(k, b float64, px, py []float64, epoch int) (float64, float64) {
 	dk, db := 0.0, 0.0 // gradients for coefficients
 	n := float64(len(px))
 	for i := range px {
@@ -40,15 +40,20 @@ func gradientDescent(k, b float64, px, py []float64) (float64, float64) {
 	}
 	k -= dk * lrK
 	b -= db * lrB
+	if epoch%100 == 0 {
+		fmt.Println("dk:", dk, "db:", db, "\n")
+	}
 	return k, b
 }
 
 func (a *App) linearRegression(px, py []float64) (k, b float64) {
 	for epoch := 1; epoch <= epochs; epoch++ {
-		k, b = gradientDescent(k, b, px, py)
+		if epoch%100 == 0 {
+			fmt.Println("Epoch:", epoch, "Loss:", loss(k, b, px, py))
+		}
+		k, b = gradientDescent(k, b, px, py, epoch)
 		a.updatePlot(k, b, px, py)
-		fmt.Println("Epoch:", epoch, "Loss:", loss(k, b, px, py))
-		time.Sleep(time.Second)
+		time.Sleep(time.Millisecond)
 	}
 
 	return k, b