float m_bytenormals[NUMVERTEXNORMALS][3] =
{
-{-0.525731, 0.000000, 0.850651}, {-0.442863, 0.238856, 0.864188},
-{-0.295242, 0.000000, 0.955423}, {-0.309017, 0.500000, 0.809017},
-{-0.162460, 0.262866, 0.951056}, {0.000000, 0.000000, 1.000000},
-{0.000000, 0.850651, 0.525731}, {-0.147621, 0.716567, 0.681718},
-{0.147621, 0.716567, 0.681718}, {0.000000, 0.525731, 0.850651},
-{0.309017, 0.500000, 0.809017}, {0.525731, 0.000000, 0.850651},
-{0.295242, 0.000000, 0.955423}, {0.442863, 0.238856, 0.864188},
-{0.162460, 0.262866, 0.951056}, {-0.681718, 0.147621, 0.716567},
-{-0.809017, 0.309017, 0.500000}, {-0.587785, 0.425325, 0.688191},
-{-0.850651, 0.525731, 0.000000}, {-0.864188, 0.442863, 0.238856},
-{-0.716567, 0.681718, 0.147621}, {-0.688191, 0.587785, 0.425325},
-{-0.500000, 0.809017, 0.309017}, {-0.238856, 0.864188, 0.442863},
-{-0.425325, 0.688191, 0.587785}, {-0.716567, 0.681718, -0.147621},
-{-0.500000, 0.809017, -0.309017}, {-0.525731, 0.850651, 0.000000},
-{0.000000, 0.850651, -0.525731}, {-0.238856, 0.864188, -0.442863},
-{0.000000, 0.955423, -0.295242}, {-0.262866, 0.951056, -0.162460},
-{0.000000, 1.000000, 0.000000}, {0.000000, 0.955423, 0.295242},
-{-0.262866, 0.951056, 0.162460}, {0.238856, 0.864188, 0.442863},
-{0.262866, 0.951056, 0.162460}, {0.500000, 0.809017, 0.309017},
-{0.238856, 0.864188, -0.442863}, {0.262866, 0.951056, -0.162460},
-{0.500000, 0.809017, -0.309017}, {0.850651, 0.525731, 0.000000},
-{0.716567, 0.681718, 0.147621}, {0.716567, 0.681718, -0.147621},
-{0.525731, 0.850651, 0.000000}, {0.425325, 0.688191, 0.587785},
-{0.864188, 0.442863, 0.238856}, {0.688191, 0.587785, 0.425325},
-{0.809017, 0.309017, 0.500000}, {0.681718, 0.147621, 0.716567},
-{0.587785, 0.425325, 0.688191}, {0.955423, 0.295242, 0.000000},
-{1.000000, 0.000000, 0.000000}, {0.951056, 0.162460, 0.262866},
-{0.850651, -0.525731, 0.000000}, {0.955423, -0.295242, 0.000000},
-{0.864188, -0.442863, 0.238856}, {0.951056, -0.162460, 0.262866},
-{0.809017, -0.309017, 0.500000}, {0.681718, -0.147621, 0.716567},
-{0.850651, 0.000000, 0.525731}, {0.864188, 0.442863, -0.238856},
-{0.809017, 0.309017, -0.500000}, {0.951056, 0.162460, -0.262866},
-{0.525731, 0.000000, -0.850651}, {0.681718, 0.147621, -0.716567},
-{0.681718, -0.147621, -0.716567}, {0.850651, 0.000000, -0.525731},
-{0.809017, -0.309017, -0.500000}, {0.864188, -0.442863, -0.238856},
-{0.951056, -0.162460, -0.262866}, {0.147621, 0.716567, -0.681718},
-{0.309017, 0.500000, -0.809017}, {0.425325, 0.688191, -0.587785},
-{0.442863, 0.238856, -0.864188}, {0.587785, 0.425325, -0.688191},
-{0.688191, 0.587785, -0.425325}, {-0.147621, 0.716567, -0.681718},
-{-0.309017, 0.500000, -0.809017}, {0.000000, 0.525731, -0.850651},
-{-0.525731, 0.000000, -0.850651}, {-0.442863, 0.238856, -0.864188},
-{-0.295242, 0.000000, -0.955423}, {-0.162460, 0.262866, -0.951056},
-{0.000000, 0.000000, -1.000000}, {0.295242, 0.000000, -0.955423},
-{0.162460, 0.262866, -0.951056}, {-0.442863, -0.238856, -0.864188},
-{-0.309017, -0.500000, -0.809017}, {-0.162460, -0.262866, -0.951056},
-{0.000000, -0.850651, -0.525731}, {-0.147621, -0.716567, -0.681718},
-{0.147621, -0.716567, -0.681718}, {0.000000, -0.525731, -0.850651},
-{0.309017, -0.500000, -0.809017}, {0.442863, -0.238856, -0.864188},
-{0.162460, -0.262866, -0.951056}, {0.238856, -0.864188, -0.442863},
-{0.500000, -0.809017, -0.309017}, {0.425325, -0.688191, -0.587785},
-{0.716567, -0.681718, -0.147621}, {0.688191, -0.587785, -0.425325},
-{0.587785, -0.425325, -0.688191}, {0.000000, -0.955423, -0.295242},
-{0.000000, -1.000000, 0.000000}, {0.262866, -0.951056, -0.162460},
-{0.000000, -0.850651, 0.525731}, {0.000000, -0.955423, 0.295242},
-{0.238856, -0.864188, 0.442863}, {0.262866, -0.951056, 0.162460},
-{0.500000, -0.809017, 0.309017}, {0.716567, -0.681718, 0.147621},
-{0.525731, -0.850651, 0.000000}, {-0.238856, -0.864188, -0.442863},
-{-0.500000, -0.809017, -0.309017}, {-0.262866, -0.951056, -0.162460},
-{-0.850651, -0.525731, 0.000000}, {-0.716567, -0.681718, -0.147621},
-{-0.716567, -0.681718, 0.147621}, {-0.525731, -0.850651, 0.000000},
-{-0.500000, -0.809017, 0.309017}, {-0.238856, -0.864188, 0.442863},
-{-0.262866, -0.951056, 0.162460}, {-0.864188, -0.442863, 0.238856},
-{-0.809017, -0.309017, 0.500000}, {-0.688191, -0.587785, 0.425325},
-{-0.681718, -0.147621, 0.716567}, {-0.442863, -0.238856, 0.864188},
-{-0.587785, -0.425325, 0.688191}, {-0.309017, -0.500000, 0.809017},
-{-0.147621, -0.716567, 0.681718}, {-0.425325, -0.688191, 0.587785},
-{-0.162460, -0.262866, 0.951056}, {0.442863, -0.238856, 0.864188},
-{0.162460, -0.262866, 0.951056}, {0.309017, -0.500000, 0.809017},
-{0.147621, -0.716567, 0.681718}, {0.000000, -0.525731, 0.850651},
-{0.425325, -0.688191, 0.587785}, {0.587785, -0.425325, 0.688191},
-{0.688191, -0.587785, 0.425325}, {-0.955423, 0.295242, 0.000000},
-{-0.951056, 0.162460, 0.262866}, {-1.000000, 0.000000, 0.000000},
-{-0.850651, 0.000000, 0.525731}, {-0.955423, -0.295242, 0.000000},
-{-0.951056, -0.162460, 0.262866}, {-0.864188, 0.442863, -0.238856},
-{-0.951056, 0.162460, -0.262866}, {-0.809017, 0.309017, -0.500000},
-{-0.864188, -0.442863, -0.238856}, {-0.951056, -0.162460, -0.262866},
-{-0.809017, -0.309017, -0.500000}, {-0.681718, 0.147621, -0.716567},
-{-0.681718, -0.147621, -0.716567}, {-0.850651, 0.000000, -0.525731},
-{-0.688191, 0.587785, -0.425325}, {-0.587785, 0.425325, -0.688191},
-{-0.425325, 0.688191, -0.587785}, {-0.425325, -0.688191, -0.587785},
-{-0.587785, -0.425325, -0.688191}, {-0.688191, -0.587785, -0.425325},
+{-0.525731f, 0.000000f, 0.850651f}, {-0.442863f, 0.238856f, 0.864188f},
+{-0.295242f, 0.000000f, 0.955423f}, {-0.309017f, 0.500000f, 0.809017f},
+{-0.162460f, 0.262866f, 0.951056f}, {0.000000f, 0.000000f, 1.000000f},
+{0.000000f, 0.850651f, 0.525731f}, {-0.147621f, 0.716567f, 0.681718f},
+{0.147621f, 0.716567f, 0.681718f}, {0.000000f, 0.525731f, 0.850651f},
+{0.309017f, 0.500000f, 0.809017f}, {0.525731f, 0.000000f, 0.850651f},
+{0.295242f, 0.000000f, 0.955423f}, {0.442863f, 0.238856f, 0.864188f},
+{0.162460f, 0.262866f, 0.951056f}, {-0.681718f, 0.147621f, 0.716567f},
+{-0.809017f, 0.309017f, 0.500000f}, {-0.587785f, 0.425325f, 0.688191f},
+{-0.850651f, 0.525731f, 0.000000f}, {-0.864188f, 0.442863f, 0.238856f},
+{-0.716567f, 0.681718f, 0.147621f}, {-0.688191f, 0.587785f, 0.425325f},
+{-0.500000f, 0.809017f, 0.309017f}, {-0.238856f, 0.864188f, 0.442863f},
+{-0.425325f, 0.688191f, 0.587785f}, {-0.716567f, 0.681718f, -0.147621f},
+{-0.500000f, 0.809017f, -0.309017f}, {-0.525731f, 0.850651f, 0.000000f},
+{0.000000f, 0.850651f, -0.525731f}, {-0.238856f, 0.864188f, -0.442863f},
+{0.000000f, 0.955423f, -0.295242f}, {-0.262866f, 0.951056f, -0.162460f},
+{0.000000f, 1.000000f, 0.000000f}, {0.000000f, 0.955423f, 0.295242f},
+{-0.262866f, 0.951056f, 0.162460f}, {0.238856f, 0.864188f, 0.442863f},
+{0.262866f, 0.951056f, 0.162460f}, {0.500000f, 0.809017f, 0.309017f},
+{0.238856f, 0.864188f, -0.442863f}, {0.262866f, 0.951056f, -0.162460f},
+{0.500000f, 0.809017f, -0.309017f}, {0.850651f, 0.525731f, 0.000000f},
+{0.716567f, 0.681718f, 0.147621f}, {0.716567f, 0.681718f, -0.147621f},
+{0.525731f, 0.850651f, 0.000000f}, {0.425325f, 0.688191f, 0.587785f},
+{0.864188f, 0.442863f, 0.238856f}, {0.688191f, 0.587785f, 0.425325f},
+{0.809017f, 0.309017f, 0.500000f}, {0.681718f, 0.147621f, 0.716567f},
+{0.587785f, 0.425325f, 0.688191f}, {0.955423f, 0.295242f, 0.000000f},
+{1.000000f, 0.000000f, 0.000000f}, {0.951056f, 0.162460f, 0.262866f},
+{0.850651f, -0.525731f, 0.000000f}, {0.955423f, -0.295242f, 0.000000f},
+{0.864188f, -0.442863f, 0.238856f}, {0.951056f, -0.162460f, 0.262866f},
+{0.809017f, -0.309017f, 0.500000f}, {0.681718f, -0.147621f, 0.716567f},
+{0.850651f, 0.000000f, 0.525731f}, {0.864188f, 0.442863f, -0.238856f},
+{0.809017f, 0.309017f, -0.500000f}, {0.951056f, 0.162460f, -0.262866f},
+{0.525731f, 0.000000f, -0.850651f}, {0.681718f, 0.147621f, -0.716567f},
+{0.681718f, -0.147621f, -0.716567f}, {0.850651f, 0.000000f, -0.525731f},
+{0.809017f, -0.309017f, -0.500000f}, {0.864188f, -0.442863f, -0.238856f},
+{0.951056f, -0.162460f, -0.262866f}, {0.147621f, 0.716567f, -0.681718f},
+{0.309017f, 0.500000f, -0.809017f}, {0.425325f, 0.688191f, -0.587785f},
+{0.442863f, 0.238856f, -0.864188f}, {0.587785f, 0.425325f, -0.688191f},
+{0.688191f, 0.587785f, -0.425325f}, {-0.147621f, 0.716567f, -0.681718f},
+{-0.309017f, 0.500000f, -0.809017f}, {0.000000f, 0.525731f, -0.850651f},
+{-0.525731f, 0.000000f, -0.850651f}, {-0.442863f, 0.238856f, -0.864188f},
+{-0.295242f, 0.000000f, -0.955423f}, {-0.162460f, 0.262866f, -0.951056f},
+{0.000000f, 0.000000f, -1.000000f}, {0.295242f, 0.000000f, -0.955423f},
+{0.162460f, 0.262866f, -0.951056f}, {-0.442863f, -0.238856f, -0.864188f},
+{-0.309017f, -0.500000f, -0.809017f}, {-0.162460f, -0.262866f, -0.951056f},
+{0.000000f, -0.850651f, -0.525731f}, {-0.147621f, -0.716567f, -0.681718f},
+{0.147621f, -0.716567f, -0.681718f}, {0.000000f, -0.525731f, -0.850651f},
+{0.309017f, -0.500000f, -0.809017f}, {0.442863f, -0.238856f, -0.864188f},
+{0.162460f, -0.262866f, -0.951056f}, {0.238856f, -0.864188f, -0.442863f},
+{0.500000f, -0.809017f, -0.309017f}, {0.425325f, -0.688191f, -0.587785f},
+{0.716567f, -0.681718f, -0.147621f}, {0.688191f, -0.587785f, -0.425325f},
+{0.587785f, -0.425325f, -0.688191f}, {0.000000f, -0.955423f, -0.295242f},
+{0.000000f, -1.000000f, 0.000000f}, {0.262866f, -0.951056f, -0.162460f},
+{0.000000f, -0.850651f, 0.525731f}, {0.000000f, -0.955423f, 0.295242f},
+{0.238856f, -0.864188f, 0.442863f}, {0.262866f, -0.951056f, 0.162460f},
+{0.500000f, -0.809017f, 0.309017f}, {0.716567f, -0.681718f, 0.147621f},
+{0.525731f, -0.850651f, 0.000000f}, {-0.238856f, -0.864188f, -0.442863f},
+{-0.500000f, -0.809017f, -0.309017f}, {-0.262866f, -0.951056f, -0.162460f},
+{-0.850651f, -0.525731f, 0.000000f}, {-0.716567f, -0.681718f, -0.147621f},
+{-0.716567f, -0.681718f, 0.147621f}, {-0.525731f, -0.850651f, 0.000000f},
+{-0.500000f, -0.809017f, 0.309017f}, {-0.238856f, -0.864188f, 0.442863f},
+{-0.262866f, -0.951056f, 0.162460f}, {-0.864188f, -0.442863f, 0.238856f},
+{-0.809017f, -0.309017f, 0.500000f}, {-0.688191f, -0.587785f, 0.425325f},
+{-0.681718f, -0.147621f, 0.716567f}, {-0.442863f, -0.238856f, 0.864188f},
+{-0.587785f, -0.425325f, 0.688191f}, {-0.309017f, -0.500000f, 0.809017f},
+{-0.147621f, -0.716567f, 0.681718f}, {-0.425325f, -0.688191f, 0.587785f},
+{-0.162460f, -0.262866f, 0.951056f}, {0.442863f, -0.238856f, 0.864188f},
+{0.162460f, -0.262866f, 0.951056f}, {0.309017f, -0.500000f, 0.809017f},
+{0.147621f, -0.716567f, 0.681718f}, {0.000000f, -0.525731f, 0.850651f},
+{0.425325f, -0.688191f, 0.587785f}, {0.587785f, -0.425325f, 0.688191f},
+{0.688191f, -0.587785f, 0.425325f}, {-0.955423f, 0.295242f, 0.000000f},
+{-0.951056f, 0.162460f, 0.262866f}, {-1.000000f, 0.000000f, 0.000000f},
+{-0.850651f, 0.000000f, 0.525731f}, {-0.955423f, -0.295242f, 0.000000f},
+{-0.951056f, -0.162460f, 0.262866f}, {-0.864188f, 0.442863f, -0.238856f},
+{-0.951056f, 0.162460f, -0.262866f}, {-0.809017f, 0.309017f, -0.500000f},
+{-0.864188f, -0.442863f, -0.238856f}, {-0.951056f, -0.162460f, -0.262866f},
+{-0.809017f, -0.309017f, -0.500000f}, {-0.681718f, 0.147621f, -0.716567f},
+{-0.681718f, -0.147621f, -0.716567f}, {-0.850651f, 0.000000f, -0.525731f},
+{-0.688191f, 0.587785f, -0.425325f}, {-0.587785f, 0.425325f, -0.688191f},
+{-0.425325f, 0.688191f, -0.587785f}, {-0.425325f, -0.688191f, -0.587785f},
+{-0.587785f, -0.425325f, -0.688191f}, {-0.688191f, -0.587785f, -0.425325f},
};
#if 0
}
}
-void AngleVectorsDuke3DFLU (const vec3_t angles, vec3_t forward, vec3_t left, vec3_t up)
+void AngleVectorsDuke3DFLU (const vec3_t angles, vec3_t forward, vec3_t left, vec3_t up, double maxShearAngle)
{
- double angle, sr, tp, sy, cr, sgnp, cy;
+ double angle, sr, sy, cr, cy;
+ double sxx, sxz, szx, szz;
+ double cosMaxShearAngle = cos(maxShearAngle * (M_PI*2 / 360));
+ double tanMaxShearAngle = tan(maxShearAngle * (M_PI*2 / 360));
angle = angles[YAW] * (M_PI*2 / 360);
sy = sin(angle);
cy = cos(angle);
- angle = ANGLEMOD(angles[PITCH]);
- // Avoid hitting tan(M_PI/2 * (2n+1))...
- // TODO shouldn't this be a cvar?
- // |pitch| <= 90 degrees.
- if (angle <= 90 && angle > 80)
- angle = 80;
- if (angle >= 270 && angle < 280)
- angle = 280;
- // |pitch| > 90 degrees.
- if (angle > 90 && angle < 100)
- angle = 100;
- if (angle < 270 && angle > 260)
- angle = 260;
- // Flip the view when "turning over".
- sgnp = (angle > 90) && (angle < 270) ? -1.0 : 1.0;
- angle *= (M_PI*2 / 360);
- tp = tan(angle);
+ angle = angles[PITCH] * (M_PI*2 / 360);
+
+ // We will calculate a shear matrix pitch = [[sxx sxz][szx szz]].
+
+ if (fabs(cos(angle)) > cosMaxShearAngle)
+ {
+ // Pure shear. Keep the original sign of the coefficients.
+ sxx = 1;
+ sxz = 0;
+ szx = -tan(angle);
+ szz = 1;
+ // Covering angle per screen coordinate:
+ // d/dt arctan((sxz + t*szz) / (sxx + t*szx)) @ t=0
+ // d_angle = det(S) / (sxx*sxx + szx*szx)
+ // = 1 / (1 + tan^2 angle)
+ // = cos^2 angle.
+ }
+ else
+ {
+ // A mix of shear and rotation. Implementation-wise, we're
+ // looking at a capsule, and making the screen surface
+ // tangential to it... and if we get here, we're looking at the
+ // two half-spheres of the capsule (and the cylinder part is
+ // handled above).
+ double x, y, h, t, d, f;
+ h = tanMaxShearAngle;
+ x = cos(angle);
+ y = sin(angle);
+ t = h * fabs(y) + sqrt(1 - (h * x) * (h * x));
+ sxx = x * t;
+ sxz = y * t - h * (y > 0 ? 1.0 : -1.0);
+ szx = -y * t;
+ szz = x * t;
+ // BUT: keep the amount of a sphere we see in pitch direction
+ // invariant.
+ // Covering angle per screen coordinate:
+ // d_angle = det(S) / (sxx*sxx + szx*szx)
+ d = (sxx * szz - sxz * szx) / (sxx * sxx + szx * szx);
+ f = cosMaxShearAngle * cosMaxShearAngle / d;
+ sxz *= f;
+ szz *= f;
+ }
+
if (forward)
{
- forward[0] = cy*sgnp;
- forward[1] = sy*sgnp;
- forward[2] = -tp;
+ forward[0] = sxx*cy;
+ forward[1] = sxx*sy;
+ forward[2] = szx;
}
if (left || up)
{
cr = cos(angle);
if (left)
{
- left[0] = cr*-sy;
- left[1] = cr*cy;
- left[2] = sr*sgnp;
+ left[0] = sr*sxz*cy+cr*-sy;
+ left[1] = sr*sxz*sy+cr*cy;
+ left[2] = sr*szz;
}
if (up)
{
- up[0] = -sr*-sy;
- up[1] = -sr*cy;
- up[2] = cr*sgnp;
+ up[0] = cr*sxz*cy+-sr*-sy;
+ up[1] = cr*sxz*sy+-sr*cy;
+ up[2] = cr*szz;
}
}
else
}
if (up)
{
- up[0] = 0;
- up[1] = 0;
- up[2] = sgnp;
+ up[0] = sxz*cy;
+ up[1] = sxz*sy;
+ up[2] = szz;
}
}
}
return (int)t;
}
+static unsigned int mul_Lecuyer[4] = { 0x12e15e35, 0xb500f16e, 0x2e714eb2, 0xb37916a5 };
+
+static void mul128(unsigned int a[], unsigned int b[], unsigned int dest[4])
+{
+ unsigned long long t[4];
+ t[0] = a[0] * b[0];
+ t[1] = a[1] * b[1];
+ t[2] = a[2] * b[2];
+ t[3] = a[3] * b[3];
+
+ // this is complicated because C doesn't have a way to make use of the
+ // cpu status carry flag, so we do it all in reverse order from what
+ // would otherwise make sense, and have to make multiple passes...
+ t[3] += t[2] >> 32; t[2] &= 0xffffffff;
+ t[2] += t[1] >> 32; t[1] &= 0xffffffff;
+ t[1] += t[0] >> 32; t[0] &= 0xffffffff;
+
+ t[3] += t[2] >> 32; t[2] &= 0xffffffff;
+ t[2] += t[1] >> 32; t[1] &= 0xffffffff;
+
+ t[3] += t[2] >> 32; t[2] &= 0xffffffff;
+
+ dest[0] = t[0] & 0xffffffff;
+ dest[1] = t[1] & 0xffffffff;
+ dest[2] = t[2] & 0xffffffff;
+ dest[3] = t[3] & 0xffffffff;
+}
+
+void Math_RandomSeed_Reset(randomseed_t *r)
+{
+ r->s[0] = 1;
+ r->s[1] = 0;
+ r->s[2] = 0;
+ r->s[3] = 0;
+}
+
+void Math_RandomSeed_FromInt(randomseed_t *r, unsigned int n)
+{
+ // if the entire s[] is zero the algorithm would break completely, so make sure it isn't zero by putting a 1 here
+ r->s[0] = 1;
+ r->s[1] = 0;
+ r->s[2] = 0;
+ r->s[3] = n;
+}
+
+unsigned long long Math_rand64(randomseed_t *r)
+{
+ unsigned int o[4];
+ mul128(r->s, mul_Lecuyer, o);
+ r->s[0] = o[0];
+ r->s[1] = o[1];
+ r->s[2] = o[2];
+ r->s[3] = o[3];
+ return ((unsigned long long)o[3] << 32) + o[2];
+}
+
+float Math_randomf(randomseed_t *r)
+{
+ unsigned long long n = Math_rand64(r);
+ return n * (0.25f / 0x80000000 / 0x80000000);
+}
+
+float Math_crandomf(randomseed_t *r)
+{
+ // do this with a signed number and double the result, so we make use of all parts of the cow
+ long long n = (long long)Math_rand64(r);
+ return n * (0.5f / 0x80000000 / 0x80000000);
+}
+
+float Math_randomrangef(randomseed_t *r, float minf, float maxf)
+{
+ return Math_randomf(r) * (maxf - minf) + minf;
+}
+
+int Math_randomrangei(randomseed_t *r, int mini, int maxi)
+{
+ unsigned long long n = Math_rand64(r);
+ return (int)(((n >> 33) * (maxi - mini) + mini) >> 31);
+}
projects / xonotic / darkplaces.git / blobdiff