package math

import (
	"testing"
)

func TestIsPrime(t *testing.T) {
	tests := []struct {
		n        int
		expected bool
	}{
		{
			n:        0,
			expected: false,
		},
		{
			n:        1,
			expected: false,
		},
		{
			n:        2,
			expected: true,
		},
		{
			n:        3,
			expected: true,
		},
		{
			n:        4,
			expected: false,
		},
		{
			n:        5,
			expected: true,
		},
		{
			n:        6,
			expected: false,
		},
		// Add more test cases as needed
	}

	for _, tt := range tests {
		result := IsPrime(tt.n)
		if result != tt.expected {
			t.Errorf("IsPrime(%d) = %v, expected %v", tt.n, result, tt.expected)
		}
	}
}

func TestIntPow(t *testing.T) {
	tests := []struct {
		x        int
		y        int
		expected int
	}{
		{
			x:        2,
			y:        3,
			expected: 8,
		},
		{
			x:        5,
			y:        0,
			expected: 1,
		},
		{
			x:        10,
			y:        1,
			expected: 10,
		},
		{
			x:        3,
			y:        4,
			expected: 81,
		},
		{
			x:        2,
			y:        0,
			expected: 1,
		},
		{
			x:        0,
			y:        5,
			expected: 0,
		},
		{
			x:        -2,
			y:        3,
			expected: -8,
		},
	}

	for _, tt := range tests {
		result := IntPow(tt.x, tt.y)
		if result != tt.expected {
			t.Errorf("IntPow(%d, %d) = %d, expected %d", tt.x, tt.y, result, tt.expected)
		}
	}
}

func TestPow2(t *testing.T) {
	tests := []struct {
		x        int
		expected int
	}{
		{
			x:        0,
			expected: 1,
		},
		{
			x:        1,
			expected: 2,
		},
		{
			x:        2,
			expected: 4,
		},
		{
			x:        3,
			expected: 8,
		},
	}

	for _, tt := range tests {
		result := Pow2(tt.x)
		if result != tt.expected {
			t.Errorf("Pow2(%d) = %d, expected %d", tt.x, result, tt.expected)
		}
	}
}

func TestGCD(t *testing.T) {
	tests := []struct {
		a        int
		b        int
		expected int
	}{
		{
			a:        0,
			b:        0,
			expected: 0,
		},
		{
			a:        0,
			b:        5,
			expected: 5,
		},
		{
			a:        10,
			b:        5,
			expected: 5,
		},
		{
			a:        12,
			b:        8,
			expected: 4,
		},
		{
			a:        15,
			b:        25,
			expected: 5,
		},
		{
			a:        21,
			b:        14,
			expected: 7,
		},
		{
			a:        100,
			b:        75,
			expected: 25,
		},
	}

	for _, tt := range tests {
		result := GCD(tt.a, tt.b)
		if result != tt.expected {
			t.Errorf("GCD(%d, %d) = %d, expected %d", tt.a, tt.b, result, tt.expected)
		}
	}
}
func TestLCM(t *testing.T) {
	tests := []struct {
		a        int
		b        int
		integers []int
		expected int
	}{
		{
			a:        2,
			b:        3,
			integers: []int{4, 5},
			expected: 60,
		},
		{
			a:        5,
			b:        7,
			integers: []int{10, 15},
			expected: 210,
		},
		{
			a:        12,
			b:        18,
			integers: []int{24, 36},
			expected: 72,
		},
	}

	for _, tt := range tests {
		result := LCM(tt.a, tt.b, tt.integers...)
		if result != tt.expected {
			t.Errorf("LCM(%d, %d, %v) = %d, expected %d", tt.a, tt.b, tt.integers, result, tt.expected)
		}
	}
}

func TestAbsInt(t *testing.T) {
	tests := []struct {
		x        int
		expected int
	}{
		{
			x:        0,
			expected: 0,
		},
		{
			x:        5,
			expected: 5,
		},
		{
			x:        -10,
			expected: 10,
		},
		{
			x:        100,
			expected: 100,
		},
		{
			x:        -50,
			expected: 50,
		},
	}

	for _, tt := range tests {
		result := AbsInt(tt.x)
		if result != tt.expected {
			t.Errorf("AbsInt(%d) = %d, expected %d", tt.x, result, tt.expected)
		}
	}
}

func TestGaussianElimination(t *testing.T) {
	coefficients := [][]float64{
		{2, 1, -1},
		{-3, -1, 2},
		{-2, 1, 2},
	}
	rhs := []float64{8, -11, -3}

	expected := []float64{2, 3, -1}

	gaussianElimination(coefficients, rhs)

	for i := 0; i < len(rhs); i++ {
		if rhs[i] != expected[i] {
			t.Errorf("GaussianElimination failed. Expected %v, got %v", expected, rhs)
			break
		}
	}
}