Math: Difference between revisions
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(→C3Vector: Adding C3Vector::MinorAxis) |
(→C3Vector: Adding C3Vector::Mag) |
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== C3Vector == | == C3Vector == | ||
=== C3Vector::Mag === | |||
Given a <tt>C3Vector</tt>, calculate and return the magnitude of the vector. | |||
<syntaxhighlight lang="cpp"> | |||
long double C3Vector::Mag(NTempest::C3Vector *this) { | |||
float v2; | |||
v2 = this->x * this->x + this->y * this->y + this->z * this->z; | |||
return sqrt(v2); | |||
} | |||
</syntaxhighlight> | |||
=== C3Vector::MajorAxis === | === C3Vector::MajorAxis === |
Revision as of 02:01, 2 May 2017
C3Vector
C3Vector::Mag
Given a C3Vector, calculate and return the magnitude of the vector.
long double C3Vector::Mag(NTempest::C3Vector *this) {
float v2;
v2 = this->x * this->x + this->y * this->y + this->z * this->z;
return sqrt(v2);
}
C3Vector::MajorAxis
Given a C3Vector, return an integer representing which of the 3 axes of the vector is major.
signed int C3Vector::MajorAxis(NTempest::C3Vector *this) {
float fx = fabs(this->x);
float fy = fabs(this->y);
float fz = fabs(this->z);
if (fx > fy && fx > fz) {
return 0;
} else if (fy > fz) {
return 1;
} else {
return 2;
}
}
C3Vector::MinorAxis
Given a C3Vector, return an integer representing which of the 3 axes of the vector is minor.
signed int C3Vector::MinorAxis(NTempest::C3Vector *this) {
float fx = fabs(this->x);
float fy = fabs(this->y);
float fz = fabs(this->z);
if (fz < fy && fz < fx) {
return 2;
} else if (fy < fx) {
return 1;
} else {
return 0;
}
}
CMath
CMath::split
Given an input of float xf, assign the integer part to int xi, and the fractional (radix) part to float xr.
void CMath::split(float xf, float *xr, int *xi) {
if (xf <= 0.0f) {
*xi = xf - 1;
*xr = xf - *xi;
} else {
*xi = xf;
*xr = xf - *xi;
}
}
CMath::sinoid
Approximates sine for the given input float a1. This function is typically inlined.
double CMath::sinoid(float a1) {
int xi;
float xr;
float v1 = (a1 * M_1_PI) - 0.5;
CMath::split(v1, &xr, &xi);
double result = 1.0 - xr * ((6.0 - 4.0 * xr) * xr);
if (xi & 1) {
result = -result;
}
return result;
}
CMath::cosoid
Approximates cosine for the given input float a1. This function is typically inlined.
double CMath::cosoid(float a1) {
int xi;
float xr;
float v1 = a1 * M_1_PI;
CMath::split(v1, &xr, &xi);
double result = 1.0 - xr * ((6.0 - 4.0 * xr) * xr);
if (xi & 1) {
result = -result;
}
return result;
}