doc: update preliminaries endianness

doc/preliminaries.tex

@@ -21,6 +21,15 @@ stored first. This distinction matters when serializing the internal state to
 produce the final digest --- MD5 uses little-endian, while SHA-256 and
 Whirlpool use big-endian.
 
+\[
+\text{Value}\; 0xD41D8CD9:
+\begin{cases}
+\text{Big-endian: } & \text{d4}\;\mid\;\text{1d}\;\mid\;\text{8c}\;\mid\;\text{d9}\\
+\text{Little-endian: } & \text{d9}\;\mid\;\text{8c}\;\mid\;\text{1d}\;\mid\;\text{d4}
+\end{cases}
+\]
+
+
 \vspace{1em}
 
 A \textbf{message} is the arbitrary-length input fed to a hash function. The

doc/ressource.tex

@@ -12,6 +12,11 @@
 
     \vspace{0.5em}
 
+    \item Whirlpool \textit{reference implementations}.\\
+    \url{https://web.archive.org/web/20171129084214/http://www.larc.usp.br/~pbarreto/WhirlpoolPage.html}
+
+    \vspace{0.5em}
+
     \item Wikipedia, \textit{AES}.\\
     \url{https://en.wikipedia.org/wiki/Advanced_Encryption_Standard}
 
@@ -36,6 +41,11 @@
     \item Wikipedia, \textit{Bitwise operation}.\\
     \url{https://en.wikipedia.org/wiki/Bitwise_operation}
 
+    \vspace{0.5em}
+
+    \item Wikipedia, \textit{Miyaguchi Preneel}.\\
+    \url{https://en.wikipedia.org/wiki/One-way_compression_function#Miyaguchi.E2.80.93Preneel}
+
 
 \end{itemize}
 %https://revistarsc.com.br/ojs/index.php/rsc/article/download/123/version/139/91/280

src/md5/md5.c

@@ -13,6 +13,11 @@ const uint32_t	g_md5_s[64] = {
 
 #undef S_ROUND
 
+/*
+ * import math
+ * for i in range(0, 64): 
+ *     hex(math.floor(math.pow(2, 32) * abs(math.sin(i+1))))
+*/
 const uint32_t	g_md5_T[64] = {
 	0xd76aa478, 0xe8c7b756, 0x242070db, 0xc1bdceee,
 	0xf57c0faf, 0x4787c62a, 0xa8304613, 0xfd469501,

src/sha256/sha256.c

@@ -1,5 +1,12 @@
 #include "sha256.h"
 
+/*
+ * for i in range(0, 64):
+ *     p = nth_prime(i + 1)
+ *     value = math.floor((2**32) * ((p ** (1/3)) % 1))
+ *     print(hex(int(value)))
+*/
+
 const uint32_t	g_sha256_K[64] = {
 	0x428a2f98, 0x71374491, 0xb5c0fbcf, 0xe9b5dba5,
 	0x3956c25b, 0x59f111f1, 0x923f82a4, 0xab1c5ed5,

src/sha256/sha256_init.c

@@ -1,5 +1,11 @@
 #include "sha256.h"
 
+/*
+ * for i in range(0,8):
+ *     p = nth_prime(i + 1)
+ *     frac = math.sqrt(p) % 1
+ *     print(hex(int(frac * 2**32)))
+ */
 void	sha256_init(void *ctx)
 {
 	struct sha256_ctx	*local_ctx = ctx;