X-Git-Url: http://de.git.xonotic.org/?p=xonotic%2Fdarkplaces.git;a=blobdiff_plain;f=mathlib.h;h=2b6201dc802b4d6d7da70293ff1c2aac882e760d;hp=fc5d6cd04d4b9772e393992f174b410b53f227db;hb=3066e6fb3322a0fb39544a6753a89b47a7a66b0c;hpb=7ee749965766a657fa909ea42a783177929519f1

diff --git a/mathlib.h b/mathlib.h
index fc5d6cd0..2b6201dc 100644
--- a/mathlib.h
+++ b/mathlib.h
@@ -49,12 +49,31 @@ extern vec3_t vec3_origin;
 #define max(A,B) ((A) > (B) ? (A) : (B))
 #endif
 
-#define lhrandom(MIN,MAX) ((rand() & 32767) * (((MAX)-(MIN)) * (1.0f / 32767.0f)) + (MIN))
+//#define lhrandom(MIN,MAX) ((rand() & 32767) * (((MAX)-(MIN)) * (1.0f / 32767.0f)) + (MIN))
+#define lhrandom(MIN,MAX) (((double)rand() / RAND_MAX) * ((MAX)-(MIN)) + (MIN))
+
+#define invpow(base,number) (log(number) / log(base))
+
+// returns log base 2 of "n" (WARNING: "n" MUST be a power of 2!)
+#define log2i(n) ((((n) & 0xAAAAAAAA) != 0 ? 1 : 0) | (((n) & 0xCCCCCCCC) != 0 ? 2 : 0) | (((n) & 0xF0F0F0F0) != 0 ? 4 : 0) | (((n) & 0xFF00FF00) != 0 ? 8 : 0) | (((n) & 0xFFFF0000) != 0 ? 16 : 0))
+
+// TOCHECK: what is this function supposed to do?
+#define bit2i(n) log2i((n) << 1)
+
+// returns the smallest integer greater than or equal to "value", or 0 if "value" is too big
+unsigned int CeilPowerOf2(unsigned int value);
 
 #define DEG2RAD(a) ((a) * ((float) M_PI / 180.0f))
 #define RAD2DEG(a) ((a) * (180.0f / (float) M_PI))
 #define ANGLEMOD(a) (((int) ((a) * (65536.0f / 360.0f)) & 65535) * (360.0f / 65536.0f))
 
+#define DotProduct4(a,b) ((a)[0]*(b)[0]+(a)[1]*(b)[1]+(a)[2]*(b)[2]+(a)[3]*(b)[3])
+#define Vector4Clear(a) ((a)[0]=(a)[1]=(a)[2]=(a)[3]=0)
+#define Vector4Compare(a,b) (((a)[0]==(b)[0])&&((a)[1]==(b)[1])&&((a)[2]==(b)[2])&&((a)[3]==(b)[3]))
+#define Vector4Copy(a,b) ((b)[0]=(a)[0],(b)[1]=(a)[1],(b)[2]=(a)[2],(b)[3]=(a)[3])
+#define Vector4Negate(a,b) ((b)[0]=-((a)[0]),(b)[1]=-((a)[1]),(b)[2]=-((a)[2]),(b)[3]=-((a)[3]))
+#define Vector4Set(a,b,c,d,e) ((a)[0]=(b),(a)[1]=(c),(a)[2]=(d),(a)[3]=(e))
+
 #define VectorNegate(a,b) ((b)[0]=-((a)[0]),(b)[1]=-((a)[1]),(b)[2]=-((a)[2]))
 #define VectorSet(a,b,c,d) ((a)[0]=(b),(a)[1]=(c),(a)[2]=(d))
 #define VectorClear(a) ((a)[0]=(a)[1]=(a)[2]=0)
@@ -62,28 +81,71 @@ extern vec3_t vec3_origin;
 #define VectorSubtract(a,b,c) ((c)[0]=(a)[0]-(b)[0],(c)[1]=(a)[1]-(b)[1],(c)[2]=(a)[2]-(b)[2])
 #define VectorAdd(a,b,c) ((c)[0]=(a)[0]+(b)[0],(c)[1]=(a)[1]+(b)[1],(c)[2]=(a)[2]+(b)[2])
 #define VectorCopy(a,b) ((b)[0]=(a)[0],(b)[1]=(a)[1],(b)[2]=(a)[2])
+#define VectorMultiply(a,b,c) ((c)[0]=(a)[0]*(b)[0],(c)[1]=(a)[1]*(b)[1],(c)[2]=(a)[2]*(b)[2])
 #define CrossProduct(a,b,c) ((c)[0]=(a)[1]*(b)[2]-(a)[2]*(b)[1],(c)[1]=(a)[2]*(b)[0]-(a)[0]*(b)[2],(c)[2]=(a)[0]*(b)[1]-(a)[1]*(b)[0])
 #define VectorNormalize(v) {float ilength = (float) sqrt(DotProduct(v,v));if (ilength) ilength = 1.0f / ilength;v[0] *= ilength;v[1] *= ilength;v[2] *= ilength;}
 #define VectorNormalize2(v,dest) {float ilength = (float) sqrt(DotProduct(v,v));if (ilength) ilength = 1.0f / ilength;dest[0] = v[0] * ilength;dest[1] = v[1] * ilength;dest[2] = v[2] * ilength;}
 #define VectorNormalizeDouble(v) {double ilength = sqrt(DotProduct(v,v));if (ilength) ilength = 1.0 / ilength;v[0] *= ilength;v[1] *= ilength;v[2] *= ilength;}
 #define VectorDistance2(a, b) (((a)[0] - (b)[0]) * ((a)[0] - (b)[0]) + ((a)[1] - (b)[1]) * ((a)[1] - (b)[1]) + ((a)[2] - (b)[2]) * ((a)[2] - (b)[2]))
 #define VectorDistance(a, b) (sqrt(VectorDistance2(a,b)))
-#define VectorLength(a) sqrt(DotProduct(a, a))
+#define VectorLength(a) (sqrt(DotProduct(a, a)))
+#define VectorLength2(a) (DotProduct(a, a))
 #define VectorScale(in, scale, out) ((out)[0] = (in)[0] * (scale),(out)[1] = (in)[1] * (scale),(out)[2] = (in)[2] * (scale))
 #define VectorCompare(a,b) (((a)[0]==(b)[0])&&((a)[1]==(b)[1])&&((a)[2]==(b)[2]))
 #define VectorMA(a, scale, b, c) ((c)[0] = (a)[0] + (scale) * (b)[0],(c)[1] = (a)[1] + (scale) * (b)[1],(c)[2] = (a)[2] + (scale) * (b)[2])
-#define VectorNormalizeFast(_v)\
-{\
-	float _y, _number;\
-	_number = DotProduct(_v, _v);\
-	if (_number != 0.0)\
-	{\
-		*((long *)&_y) = 0x5f3759df - ((* (long *) &_number) >> 1);\
-		_y = _y * (1.5f - (_number * 0.5f * _y * _y));\
-		VectorScale(_v, _y, _v);\
-	}\
+#define VectorM(scale1, b1, c) ((c)[0] = (scale1) * (b1)[0],(c)[1] = (scale1) * (b1)[1],(c)[2] = (scale1) * (b1)[2])
+#define VectorMAM(scale1, b1, scale2, b2, c) ((c)[0] = (scale1) * (b1)[0] + (scale2) * (b2)[0],(c)[1] = (scale1) * (b1)[1] + (scale2) * (b2)[1],(c)[2] = (scale1) * (b1)[2] + (scale2) * (b2)[2])
+#define VectorMAMAM(scale1, b1, scale2, b2, scale3, b3, c) ((c)[0] = (scale1) * (b1)[0] + (scale2) * (b2)[0] + (scale3) * (b3)[0],(c)[1] = (scale1) * (b1)[1] + (scale2) * (b2)[1] + (scale3) * (b3)[1],(c)[2] = (scale1) * (b1)[2] + (scale2) * (b2)[2] + (scale3) * (b3)[2])
+#define VectorMAMAMAM(scale1, b1, scale2, b2, scale3, b3, scale4, b4, c) ((c)[0] = (scale1) * (b1)[0] + (scale2) * (b2)[0] + (scale3) * (b3)[0] + (scale4) * (b4)[0],(c)[1] = (scale1) * (b1)[1] + (scale2) * (b2)[1] + (scale3) * (b3)[1] + (scale4) * (b4)[1],(c)[2] = (scale1) * (b1)[2] + (scale2) * (b2)[2] + (scale3) * (b3)[2] + (scale4) * (b4)[2])
+#define VectorRandom(v) do{(v)[0] = lhrandom(-1, 1);(v)[1] = lhrandom(-1, 1);(v)[2] = lhrandom(-1, 1);}while(DotProduct(v, v) > 1)
+#define VectorLerp(v1,lerp,v2,c) ((c)[0] = (v1)[0] + (lerp) * ((v2)[0] - (v1)[0]), (c)[1] = (v1)[1] + (lerp) * ((v2)[1] - (v1)[1]), (c)[2] = (v1)[2] + (lerp) * ((v2)[2] - (v1)[2]))
+#define VectorReflect(a,r,b,c) do{double d;d = DotProduct((a), (b)) * -(1.0 + (r));VectorMA((a), (d), (b), (c));}while(0)
+#define BoxesOverlap(a,b,c,d) ((a)[0] <= (d)[0] && (b)[0] >= (c)[0] && (a)[1] <= (d)[1] && (b)[1] >= (c)[1] && (a)[2] <= (d)[2] && (b)[2] >= (c)[2])
+#define BoxInsideBox(a,b,c,d) ((a)[0] >= (c)[0] && (b)[0] <= (d)[0] && (a)[1] >= (c)[1] && (b)[1] <= (d)[1] && (a)[2] >= (c)[2] && (b)[2] <= (d)[2])
+#define TriangleOverlapsBox(a,b,c,d,e) (min((a)[0], min((b)[0], (c)[0])) < (e)[0] && max((a)[0], max((b)[0], (c)[0])) > (d)[0] && min((a)[1], min((b)[1], (c)[1])) < (e)[1] && max((a)[1], max((b)[1], (c)[1])) > (d)[1] && min((a)[2], min((b)[2], (c)[2])) < (e)[2] && max((a)[2], max((b)[2], (c)[2])) > (d)[2])
+
+#define TriangleNormal(a,b,c,n) ( \
+	(n)[0] = ((a)[1] - (b)[1]) * ((c)[2] - (b)[2]) - ((a)[2] - (b)[2]) * ((c)[1] - (b)[1]), \
+	(n)[1] = ((a)[2] - (b)[2]) * ((c)[0] - (b)[0]) - ((a)[0] - (b)[0]) * ((c)[2] - (b)[2]), \
+	(n)[2] = ((a)[0] - (b)[0]) * ((c)[1] - (b)[1]) - ((a)[1] - (b)[1]) * ((c)[0] - (b)[0]) \
+	)
+
+// fast PointInfrontOfTriangle
+// subtracts v1 from v0 and v2, combined into a crossproduct, combined with a
+// dotproduct of the light location relative to the first point of the
+// triangle (any point works, since any triangle is obviously flat), and
+// finally a comparison to determine if the light is infront of the triangle
+// (the goal of this statement) we do not need to normalize the surface
+// normal because both sides of the comparison use it, therefore they are
+// both multiplied the same amount...  furthermore a subtract can be done on
+// the point to eliminate one dotproduct
+// this is ((p - a) * cross(a-b,c-b))
+#define PointInfrontOfTriangle(p,a,b,c) \
+( ((p)[0] - (a)[0]) * (((a)[1] - (b)[1]) * ((c)[2] - (b)[2]) - ((a)[2] - (b)[2]) * ((c)[1] - (b)[1])) \
++ ((p)[1] - (a)[1]) * (((a)[2] - (b)[2]) * ((c)[0] - (b)[0]) - ((a)[0] - (b)[0]) * ((c)[2] - (b)[2])) \
++ ((p)[2] - (a)[2]) * (((a)[0] - (b)[0]) * ((c)[1] - (b)[1]) - ((a)[1] - (b)[1]) * ((c)[0] - (b)[0])) > 0)
+
+#if 0
+// readable version, kept only for explanatory reasons
+int PointInfrontOfTriangle(const float *p, const float *a, const float *b, const float *c)
+{
+	float dir0[3], dir1[3], normal[3];
+
+	// calculate two mostly perpendicular edge directions
+	VectorSubtract(a, b, dir0);
+	VectorSubtract(c, b, dir1);
+
+	// we have two edge directions, we can calculate a third vector from
+	// them, which is the direction of the surface normal (its magnitude
+	// is not 1 however)
+	CrossProduct(dir0, dir1, normal);
+
+	// compare distance of light along normal, with distance of any point
+	// of the triangle along the same normal (the triangle is planar,
+	// I.E. flat, so all points give the same answer)
+	return DotProduct(p, normal) > DotProduct(a, normal);
 }
-#define VectorRandom(v) {do{(v)[0] = lhrandom(-1, 1);(v)[1] = lhrandom(-1, 1);(v)[2] = lhrandom(-1, 1);}while(DotProduct(v, v) > 1);}
+#endif
 
 /*
 // LordHavoc: quaternion math, untested, don't know if these are correct,
@@ -139,8 +201,8 @@ float VectorNormalizeLength2 (vec3_t v, vec3_t dest);		// returns vector length
 #define NUMVERTEXNORMALS	162
 extern float m_bytenormals[NUMVERTEXNORMALS][3];
 
-qbyte NormalToByte(const vec3_t n);
-void ByteToNormal(qbyte num, vec3_t n);
+unsigned char NormalToByte(const vec3_t n);
+void ByteToNormal(unsigned char num, vec3_t n);
 
 void R_ConcatRotations (const float in1[3*3], const float in2[3*3], float out[3*3]);
 void R_ConcatTransforms (const float in1[3*4], const float in2[3*4], float out[3*4]);
@@ -156,19 +218,24 @@ void VectorVectors(const vec3_t forward, vec3_t right, vec3_t up);
 void VectorVectorsDouble(const double *forward, double *right, double *up);
 
 void PlaneClassify(struct mplane_s *p);
-int BoxOnPlaneSide (const vec3_t emins, const vec3_t emaxs, const struct mplane_s *p);
+int BoxOnPlaneSide(const vec3_t emins, const vec3_t emaxs, const struct mplane_s *p);
+int BoxOnPlaneSide_Separate(const vec3_t emins, const vec3_t emaxs, const vec3_t normal, const vec_t dist);
+void BoxPlaneCorners(const vec3_t emins, const vec3_t emaxs, const struct mplane_s *p, vec3_t outnear, vec3_t outfar);
+void BoxPlaneCorners_Separate(const vec3_t emins, const vec3_t emaxs, const vec3_t normal, vec3_t outnear, vec3_t outfar);
+void BoxPlaneCornerDistances(const vec3_t emins, const vec3_t emaxs, const struct mplane_s *p, vec_t *outnear, vec_t *outfar);
+void BoxPlaneCornerDistances_Separate(const vec3_t emins, const vec3_t emaxs, const vec3_t normal, vec_t *outnear, vec_t *outfar);
 
 #define PlaneDist(point,plane)  ((plane)->type < 3 ? (point)[(plane)->type] : DotProduct((point), (plane)->normal))
 #define PlaneDiff(point,plane) (((plane)->type < 3 ? (point)[(plane)->type] : DotProduct((point), (plane)->normal)) - (plane)->dist)
 
 // LordHavoc: minimal plane structure
-typedef struct
+typedef struct tinyplane_s
 {
 	float normal[3], dist;
 }
 tinyplane_t;
 
-typedef struct
+typedef struct tinydoubleplane_s
 {
 	double normal[3], dist;
 }
@@ -176,9 +243,15 @@ tinydoubleplane_t;
 
 void RotatePointAroundVector(vec3_t dst, const vec3_t dir, const vec3_t point, float degrees);
 
+float RadiusFromBounds (const vec3_t mins, const vec3_t maxs);
+float RadiusFromBoundsAndOrigin (const vec3_t mins, const vec3_t maxs, const vec3_t origin);
+
 // print a matrix to the console
 struct matrix4x4_s;
 void Matrix4x4_Print(const struct matrix4x4_s *in);
+int Math_atov(const char *s, vec3_t out);
+
+void BoxFromPoints(vec3_t mins, vec3_t maxs, int numpoints, vec_t *point3f);
 
 #endif