add bits_to_target

src/lib.cairo

@@ -1,3 +1,5 @@
+pub mod utils;
+
 mod state;
 mod validation;
 mod main;

src/utils.cairo

@@ -0,0 +1,35 @@
+use core::traits::Into;
+use core::traits::TryInto;
+
+// Bitwise shift left for u256
+pub fn shl(value: u256, shift: u32) -> u256 {
+    value * fast_pow(2.into(), shift.into())
+}
+
+// Bitwise shift right for u256
+pub fn shr(value: u256, shift: u32) -> u256 {
+    value / fast_pow(2.into(), shift.into())
+}
+
+// Fast exponentiation using the square-and-multiply algorithm
+// Reference: https://github.com/keep-starknet-strange/alexandria/blob/bcdca70afdf59c9976148e95cebad5cf63d75a7f/packages/math/src/fast_power.cairo#L12
+pub fn fast_pow(base: u256, exp: u32) -> u256 {
+    if exp == 0 {
+        return 1.into();
+    }
+
+    let mut res: u256 = 1.into();
+    let mut base: u256 = base;
+    let mut exp: u32 = exp;
+
+    loop {
+        if exp % 2 == 1 {
+            res = res * base;
+        }
+        exp = exp / 2;
+        if exp == 0 {
+            break res;
+        }
+        base = base * base;
+    }
+}

src/validation.cairo

@@ -1,4 +1,6 @@
 use super::state::{Block, ChainState, UtreexoState};
+use raito::utils::shl;
+use raito::utils::shr;
 
 #[generate_trait]
 impl BlockValidatorImpl of BlockValidator {
@@ -70,6 +72,41 @@ fn validate_merkle_root(self: @ChainState, block: @Block) -> Result<(), ByteArra
     Result::Ok(())
 }
 
+
+// Helper functions
+pub fn bits_to_target(bits: u32) -> Result<u256, felt252> {
+    // Extract exponent and mantissa
+    let exponent: u32 = (bits / 0x1000000);
+    let mantissa: u32 = bits & 0x00FFFFFF;
+
+    // Check if mantissa is valid (should be less than 0x1000000)
+    if mantissa > 0x7FFFFF && exponent != 0 {
+        return Result::Err('Invalid mantissa');
+    }
+
+    // Calculate the full target value
+    let mut target: u256 = mantissa.into();
+
+    if exponent == 0 {
+        // Special case: exponent 0 means we use the mantissa as-is
+        return Result::Ok(target);
+    } else if exponent <= 3 {
+        // For exponents 1, 2, and 3, divide by 256^(3 - exponent) i.e right shift
+        let shift = 8 * (3 - exponent);
+        target = shr(target, shift);
+    } else {
+        let shift = 8 * (exponent - 3);
+        target = shl(target, shift);
+    }
+
+    // Ensure the target doesn't exceed the maximum allowed value
+    if target > MAX_TARGET {
+        return Result::Err('Target exceeds maximum');
+    }
+
+    Result::Ok(target)
+}
+
 #[cfg(test)]
 mod tests {
     use super::{validate_target, validate_timestamp};

tests/tests.cairo

@@ -0,0 +1,76 @@
+use raito::validation::bits_to_target;
+
+#[test]
+fn test_bits_to_target_01003456() {
+    let result = bits_to_target(0x01003456);
+    assert!(result.is_ok(), "Should be valid");
+    assert!(result.unwrap() == 0x00_u256, "Incorrect target for 0x01003456");
+}
+
+#[test]
+fn test_bits_to_target_01123456() {
+    let result = bits_to_target(0x01123456);
+    assert!(result.is_ok(), "Should be valid");
+    assert!(result.unwrap() == 0x12_u256, "Incorrect target for 0x01123456");
+}
+
+#[test]
+fn test_bits_to_target_02008000() {
+    let result = bits_to_target(0x02008000);
+    assert!(result.is_ok(), "Should be valid");
+    assert!(result.unwrap() == 0x80_u256, "Incorrect target for 0x02008000");
+}
+
+#[test]
+fn test_bits_to_target_181bc330() {
+    let result = bits_to_target(0x181bc330);
+    assert!(result.is_ok(), "Should be valid");
+    assert!(
+        result.unwrap() == 0x1bc330000000000000000000000000000000000000000000_u256,
+        "Incorrect target for 0x181bc330"
+    );
+}
+
+#[test]
+fn test_bits_to_target_05009234() {
+    let result = bits_to_target(0x05009234);
+    assert!(result.is_ok(), "Should be valid");
+    assert!(result.unwrap() == 0x92340000_u256, "Incorrect target for 0x05009234");
+}
+
+#[test]
+fn test_bits_to_target_04123456() {
+    let result = bits_to_target(0x04123456);
+    assert!(result.is_ok(), "Should be valid");
+    assert!(result.unwrap() == 0x12345600_u256, "Incorrect target for 0x04123456");
+}
+
+#[test]
+fn test_bits_to_target_1d00ffff() {
+    let result = bits_to_target(0x1d00ffff);
+    assert!(result.is_ok(), "Should be valid");
+    assert!(
+        result.unwrap() == 0x00000000ffff0000000000000000000000000000000000000000000000000000_u256,
+        "Incorrect target for 0x1d00ffff"
+    );
+}
+
+#[test]
+fn test_bits_to_target_1c0d3142() {
+    let result = bits_to_target(0x1c0d3142);
+    assert!(result.is_ok(), "Should be valid");
+    assert!(
+        result.unwrap() == 0x000000000d314200000000000000000000000000000000000000000000000000_u256,
+        "Incorrect target for 0x1c0d3142"
+    );
+}
+
+#[test]
+fn test_bits_to_target_1707a429() {
+    let result = bits_to_target(0x1707a429);
+    assert!(result.is_ok(), "Should be valid");
+    assert!(
+        result.unwrap() == 0x00000000000000000007a4290000000000000000000000000000000000000000_u256,
+        "Incorrect target for 0x1707a429"
+    );
+}