Fixed font atlas, feature completed garbage collection, and fix math.

This commit is contained in:
2024-06-29 22:20:53 -07:00
parent f030ac62ae
commit 0b298c6130
12 changed files with 283 additions and 180 deletions

View File

@@ -116,20 +116,51 @@ namespace ehs
return sum;
}
template <typename T = float>
static T Ln_Taylor(T x)
{
T result = 0;
T term = (x - 1) / (x + 1);
T term_squared = term * term;
T denominator = 1;
T current_term = term;
for (int n = 0; n < 100; ++n)
{
result += current_term / denominator;
current_term *= term_squared;
denominator += 2;
}
return 2 * result;
}
template <typename T = float>
static T Ln(T x)
{
if (x <= 0)
return -1;
T result = 0;
if (x == 1)
return 0;
x = (x - 1) / (x + 1);
SSize exp = 0;
while (x > 2)
{
x /= 2;
exp++;
}
for (int i = 1; i <= 19; i += 2)
result += (1 / i) * Exp<T>(x * i);
while (x < 0.5)
{
x *= 2;
exp--;
}
return 2 * result;
T result = Ln_Taylor<T>(x);
result += exp * Ln_Taylor<T>(2);
return result;
}
/// A method for use of exponents.
@@ -142,26 +173,35 @@ namespace ehs
static T Pow(const T base, const I exponent)
{
if (base == 0)
return 0;
return (exponent == 0) ? 1 : 0;
if (exponent == 0)
return 1;
UInt_32 exponentIsInteger = exponent == (UInt_32)exponent;
UInt_32 baseIsNegative = base < 0;
SSize intExp = (SSize)exponent;
bool isInteger = exponent == intExp;
bool isNeg = base < 0;
if (baseIsNegative && exponentIsInteger)
if (isNeg && isInteger)
{
T result = Exp<T>(exponent * Ln<T>(-base));
if (Mod((float)exponent, 2.0f) != 0)
if ((SSize)exponent % 2)
result = -result;
return result;
}
else if (!baseIsNegative)
return Exp<T>(exponent * Ln<T>(base));
return 0;
if (isNeg && !isInteger)
{
T magnitude = Exp<T>(exponent * Ln<T>(-base));
T angle = exponent * Pi<T>();
T realPart = magnitude * Cos<T>(angle);
T imagPart = magnitude * Sin<T>(angle);
return realPart;
}
return Exp<T>(exponent * Ln<T>(base));
}
template <typename T = float>