diff --git a/common/_TEST_tick_math_test.gno b/common/_TEST_tick_math_test.gno
index a9c3db3a..41602a31 100644
--- a/common/_TEST_tick_math_test.gno
+++ b/common/_TEST_tick_math_test.gno
@@ -2,6 +2,8 @@ package common
 
 import (
 	"testing"
+
+	"gno.land/r/demo/consts"
 )
 
 func TestFindMSB(t *testing.T) {
@@ -63,3 +65,192 @@ func TestFindMSB(t *testing.T) {
 		})
 	}
 }
+
+func TestTickMathGetSqrtRatioAtTick(t *testing.T) {
+	testCases := []struct {
+		name     string
+		tick     int32
+		expected bigint
+		isErr    bool
+	}{
+		{
+			name:     "positive 1",
+			tick:     1,
+			expected: 79232123823359799118286999568,
+			isErr:    false,
+		},
+		{
+			name:     "Test Case 1",
+			tick:     int32(10),
+			expected: 79267784519130042428790663799,
+			isErr:    false,
+		},
+		{
+			name:     "Test Case 2",
+			tick:     int32(20),
+			expected: 79307426338960776842885539845,
+			isErr:    false,
+		},
+		{
+			name:     "Test Case 3",
+			tick:     int32(30),
+			expected: 79347087983666005045280518415,
+			isErr:    false,
+		},
+		{
+			name:     "negative tick",
+			tick:     -1,
+			expected: 79224201403219477170569942574,
+			isErr:    false,
+		},
+		{
+			name:     "zero tick",
+			tick:     0,
+			expected: 79228162514264337593543950337,
+			isErr:    false,
+		},
+		{
+			name:     "maximum tick",
+			tick:     887272,
+			expected: 1461446703485210103287273052203988822378723970342,
+			isErr:    false,
+		},
+		{
+			name:     "minimum tick",
+			tick:     -887272,
+			expected: 4295128739,
+			isErr:    false,
+		},
+	}
+
+	for _, tc := range testCases {
+		t.Run(tc.name, func(t *testing.T) {
+			result := TickMathGetSqrtRatioAtTick(tc.tick)
+			if tc.isErr && result != 0 {
+				t.Errorf("(%s) expected error, got %d", tc.name, result)
+			}
+
+			if result != tc.expected {
+				t.Errorf("(%s) expected %d, got %d", tc.name, tc.expected, result)
+			}
+		})
+	}
+}
+
+func TestTickMathGetTickAtSqrtRatio(t *testing.T) {
+	testCases := []struct {
+		name           string
+		sqrtPriceX96   bigint
+		expectedResult int32
+		isErr          bool
+	}{
+		{
+			name:           "Test Case 1",
+			sqrtPriceX96:   130621891405341611593710811006,
+			expectedResult: int32(10000),
+			isErr:          false,
+		},
+		{
+			name:           "max uint64",
+			sqrtPriceX96:   consts.MAX_UINT64,
+			expectedResult: -443637,
+			isErr:          false,
+		},
+		{
+			name:           "max uint128",
+			sqrtPriceX96:   consts.MAX_UINT128,
+			expectedResult: 443636,
+			isErr:          false,
+		},
+		{
+			name:           "min sqrt ratio",
+			sqrtPriceX96:   consts.MIN_SQRT_RATIO,
+			expectedResult: -887272,
+			isErr:          false,
+		},
+		{
+			name:           "q96",
+			sqrtPriceX96:   consts.Q96,
+			expectedResult: -1,
+			isErr:          false,
+		},
+		{
+			name:           "q128",
+			sqrtPriceX96:   consts.Q128,
+			expectedResult: 443636,
+			isErr:          false,
+		},
+		{
+			name:           "Test Case for typical sqrtPriceX96",
+			sqrtPriceX96:   79228162514264337593543950336,
+			expectedResult: -1,
+			isErr:          false,
+		},
+	}
+
+	for _, tc := range testCases {
+		t.Run(tc.name, func(t *testing.T) {
+			result := TickMathGetTickAtSqrtRatio(tc.sqrtPriceX96)
+
+			if tc.isErr && result != 0 {
+				t.Errorf("(%s) expected error, got %d", tc.name, result)
+			}
+		})
+	}
+}
+
+func TestCalculateLog2(t *testing.T) {
+	testCases := []struct {
+		name     string
+		msb      bigint
+		ratio    bigint
+		expected bigint
+	}{
+		{
+			name:     "100",
+			msb:      100,
+			ratio:    1000,
+			expected: -516508834063867445248,
+		},
+		{
+			name:     "msb at higher bound with ratio 1",
+			msb:      256,
+			ratio:    1,
+			expected: 2361183241434822606848,
+		},
+		{
+			name:     "higher msb with higher ratio",
+			msb:      256,
+			ratio:    2,
+			expected: 2361183241434822606848,
+		},
+		{
+			name:     "lower bound",
+			msb:      128,
+			ratio:    1 << 127,
+			expected: 0,
+		},
+		{
+			name:     "high msb with exact square",
+			msb:      256,
+			ratio:    1 << 128,
+			expected: 2379629985508532158464,
+		},
+		{
+			name:     "double value",
+			msb:      129,
+			ratio:    1 << 128,
+			expected: 1 << 64,
+		},
+	}
+
+	for _, tc := range testCases {
+		t.Run(tc.name, func(t *testing.T) {
+			result := calculateLog2(tc.msb, tc.ratio)
+
+			if result != tc.expected {
+				t.Errorf("(%s) expected %d, got %d", tc.name, tc.expected, result)
+			}
+		})
+	}
+}