1 files changed, 88 insertions, 0 deletions
diff --git a/include/LibC++/base_math.h b/include/LibC++/base_math.h
new file mode 100644
index 0000000..60b260e
--- /dev/null
+++ b/include/LibC++/base_math.h
@@ -0,0 +1,88 @@
+/* ========================================
+
+  Copyright (C) 2024-2025 Amlal El Mahrouss, Licensed under the Apache 2.0 license.
+
+======================================== */
+
+#pragma once
+
+#include <LibC++/defines.h>
+
+#ifndef NAN
+#define NAN (__builtin_nanf(""))
+#endif  // !NAN
+
+/// @file Math.h
+/// @brief Math functions.
+
+#ifdef __LIBCXX_USE_DOUBLE__
+typedef double real_type;
+#else
+typedef float real_type;
+#endif
+
+namespace std::base_math {
+inline constexpr static auto not_a_number = NAN;
+
+/// =========================================================== ///
+/// @brief Power function, with Repeat argument.
+/// =========================================================== ///
+template <size_t Exponent>
+inline real_type pow(real_type in) {
+  if (Exponent == 0) return 1;  // Any number to the power of 0 is 1.
+
+  if (Exponent == 1) return in;  // Any number to the power of 1 is itself.
+
+  size_t cnt = Exponent;
+
+  real_type result = 1;
+
+  for (auto i = 0; i < cnt; ++i) result *= in;
+
+  return result;
+}
+
+/// =========================================================== ///
+/// @brief Square root function.
+/// =========================================================== ///
+inline real_type sqrt(real_type in) {
+  if (in == 0) return 0;
+  if (in == not_a_number) return not_a_number;
+
+  auto constexpr const static Base = 2;
+
+  auto x = in / Base;
+
+  for (int i = 0; i < 10; ++i) {
+    x = (x + in / x) / Base;
+  }
+
+  return x;
+}
+
+/// =========================================================== ///
+/// @brief Square of function, with Base template argument.
+/// @param of Base argument to find the square of.
+/// =========================================================== ///
+template <size_t Base>
+inline real_type surd(real_type in) {
+  if (in == 0) return 0;
+  if (in == 1) return 1;
+
+  if (Base == 1) return in;
+  if (Base == 2) return sqrt(in);
+
+  return not_a_number;
+}
+
+/// =========================================================== ///
+/// @brief Linear interpolation equation solver.
+/// @param from where?
+/// @param to to?
+/// @param Updated diff value according to difference.
+/// =========================================================== ///
+inline real_type lerp(real_type to, real_type from, real_type stat) {
+  real_type diff = (to - from);
+  return from + (diff * stat);
+}
+}  // namespace std::base_math