Windows: define a new formula for Argon2 parameters derivation from PIM value

src/Common/Pkcs5.c

@@ -1364,21 +1364,86 @@ void derive_key_argon2(char *pwd, int pwd_len, char *salt, int salt_len, uint32
 	memset(dk, 0, dklen);
 }
 
+/**
+ * get_argon2_params
+ * 
+ * This function calculates the memory cost (in KiB) and time cost (iterations) for 
+ * the Argon2id key derivation function based on the Personal Iteration Multiplier (PIM) value.
+ * 
+ * Parameters:
+ *   - pim: The Personal Iteration Multiplier (PIM), which controls the memory and time costs.
+ *          If pim < 0, it is clamped to 0.
+ *          If pim == 0, the default value of 12 is used.
+ *   - pIterations: Pointer to an integer where the calculated time cost (iterations) will be stored.
+ *   - pMemcost: Pointer to an integer where the calculated memory cost (in KiB) will be stored.
+ * 
+ * Formulas:
+ *   - Memory Cost (m_cost) in MiB:
+ *     m_cost(pim) = min(64 MiB + (pim - 1) * 32 MiB, 1024 MiB)
+ *     This formula increases the memory cost by 32 MiB for each increment of PIM, starting from 64 MiB.
+ *     The memory cost is capped at 1024 MiB when PIM reaches 31 or higher.
+ *     The result is converted to KiB before being stored in *pMemcost:
+ *     *pMemcost = m_cost(pim) * 1024
+ * 
+ *   - Time Cost (t_cost) in iterations:
+ *     If PIM <= 31:
+ *        t_cost(pim) = 3 + floor((pim - 1) / 3)
+ *     If PIM > 31:
+ *        t_cost(pim) = 13 + (pim - 31)
+ *     This formula increases the time cost by 1 iteration for every 3 increments of PIM when PIM <= 31.
+ *     For PIM > 31, the time cost increases by 1 iteration for each increment in PIM.
+ *     The calculated time cost is stored in *pIterations.
+ * 
+ * Example:
+ *   - For PIM = 12:
+ *     Memory Cost = 64 + (12 - 1) * 32 = 416 MiB (425,984 KiB)
+ *     Time Cost = 3 + floor((12 - 1) / 3) = 6 iterations
+ * 
+ *   - For PIM = 31:
+ *     Memory Cost = 64 + (31 - 1) * 32 = 1024 MiB (capped)
+ *     Time Cost = 3 + floor((31 - 1) / 3) = 13 iterations
+ * 
+ *   - For PIM = 32:
+ *     Memory Cost = 1024 MiB (capped)
+ *     Time Cost = 13 + (32 - 31) = 14 iterations
+ * 
+ */
 void get_argon2_params(int pim, int* pIterations, int* pMemcost)
 {
-	int memcost = 16 * 1024 + pim * 512;
+    // Ensure PIM is at least 0
-	int iterations;
+    if (pim < 0)
-
+    {
-	if (memcost <= 64 * 1024) {
+        pim = 0;
-		// For memory costs up to 64 MB
-		iterations = 100 - (pim * 85) / 96;
-	} else {
-		// For memory costs above 64 MB
-		iterations = 15 - ((pim - 96) * 10) / 192;
     }
 
-	*pIterations = iterations;
+	// Default PIM value is 12
-	*pMemcost = memcost;
+	// which leads to 416 MiB memory cost and 6 iterations
+	if (pim == 0)
+	{
+		pim = 12;
+	}
+
+    // Compute the memory cost (m_cost) in MiB
+    int m_cost_mib = 64 + (pim - 1) * 32;
+
+    // Cap the memory cost at 1024 MiB
+    if (m_cost_mib > 1024)
+    {
+        m_cost_mib = 1024;
+    }
+
+    // Convert memory cost to KiB for Argon2
+    *pMemcost = m_cost_mib * 1024; // m_cost in KiB
+
+    // Compute the time cost (t_cost)
+    if (pim <= 31)
+    {
+        *pIterations = 3 + ((pim - 1) / 3);
+    }
+    else
+    {
+        *pIterations = 13 + (pim - 31);
+    }
 }
 
 #endif //!TC_WINDOWS_BOOT