polylib.cpp

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/*
Copyright (C) 1997-2001 Id Software, Inc.
 
This program is free software; you can redistribute it and/or
modify it under the terms of the GNU General Public License
as published by the Free Software Foundation; either version 2
of the License, or (at your option) any later version.
 
This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.
 
See the GNU General Public License for more details.
 
You should have received a copy of the GNU General Public License
along with this program; if not, write to the Free Software
Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA  02111-1307, USA.
 
*/
 
#include "polylib.h"
#include "shared.h"
 
 
#define BOGUS_RANGE 8192

winding_t* AllocWinding (int points)
{
    return (winding_t*)Mem_Alloc(sizeof(vec3_t) * points + sizeof(int));
}

void FreeWinding (winding_t* w)
{
    if (*(unsigned* )w == 0xdeaddead)
        Sys_Error("FreeWinding: freed a freed winding");
    *(unsigned* )w = 0xdeaddead;
 
    Mem_Free(w);
}
 
void RemoveColinearPoints (winding_t* w)
{
    int nump = 0;
    vec3_t v1, v2;
    vec3_t p[MAX_POINTS_ON_WINDING];
 
    for (int i = 0; i < w->numpoints; i++) {
        const int j = (i + 1) % w->numpoints;
        const int k = (i + w->numpoints - 1) % w->numpoints;
        VectorSubtract(w->p[j], w->p[i], v1);
        VectorSubtract(w->p[i], w->p[k], v2);
        VectorNormalize(v1);
        VectorNormalize(v2);
        if (DotProduct(v1, v2) < 0.999) {
            VectorCopy(w->p[i], p[nump]);
            nump++;
        }
    }
 
    if (nump == w->numpoints)
        return;
 
    w->numpoints = nump;
    memcpy(w->p, p, nump * sizeof(p[0]));
}
 
vec_t WindingArea (const winding_t* w)
{
    int i;
    vec3_t d1, d2, cross;
    vec_t total;
 
    total = 0;
    for (i = 2; i < w->numpoints; i++) {
        VectorSubtract(w->p[i - 1], w->p[0], d1);
        VectorSubtract(w->p[i], w->p[0], d2);
        CrossProduct(d1, d2, cross);
        total += VectorLength(cross);
    }
    return total * 0.5f;
}
 
void WindingBounds (const winding_t* w, vec3_t mins, vec3_t maxs)
{
    ClearBounds(mins, maxs);
 
    for (int i = 0; i < w->numpoints; i++) {
        AddPointToBounds(w->p[i], mins, maxs);
    }
}
 
void WindingCenter (const winding_t* w, vec3_t center)
{
    VectorCopy(vec3_origin, center);
    for (int i = 0; i < w->numpoints; i++)
        VectorAdd(w->p[i], center, center);
 
    vec_t scale = 1.0 / w->numpoints;
    VectorScale(center, scale, center);
}
 
winding_t* BaseWindingForPlane (const vec3_t normal, const vec_t dist)
{
    vec_t max, v;
    vec3_t org, vright, vup;
    winding_t* w;
 
    /* find the major axis */
    max = -BOGUS_RANGE;
    int x = -1;
    for (int i = 0; i < 3; i++) {
        v = fabs(normal[i]);
        if (v > max) {
            x = i;
            max = v;
        }
    }
    if (x == -1)
        Sys_Error("BaseWindingForPlane: no axis found");
 
    VectorCopy(vec3_origin, vup);
    /* axis */
    switch (x) {
    case 0:
    case 1:
        vup[2] = 1;
        break;
    case 2:
        vup[0] = 1;
        break;
    }
 
    v = DotProduct(vup, normal);
    VectorMA(vup, -v, normal, vup);
    VectorNormalize(vup);
 
    VectorScale(normal, dist, org);
 
    CrossProduct(vup, normal, vright);
 
    VectorScale(vup, 8192, vup);
    VectorScale(vright, 8192, vright);
 
    /* project a really big axis aligned box onto the plane */
    w = AllocWinding(4);
    if (!w)
        return nullptr;
 
    VectorSubtract(org, vright, w->p[0]);
    VectorAdd(w->p[0], vup, w->p[0]);
 
    VectorAdd(org, vright, w->p[1]);
    VectorAdd(w->p[1], vup, w->p[1]);
 
    VectorAdd(org, vright, w->p[2]);
    VectorSubtract(w->p[2], vup, w->p[2]);
 
    VectorSubtract(org, vright, w->p[3]);
    VectorSubtract(w->p[3], vup, w->p[3]);
 
    w->numpoints = 4;
 
    return w;
}

winding_t* CopyWinding (const winding_t* w)
{
    winding_t* c = AllocWinding(w->numpoints);
    const ptrdiff_t size = (ptrdiff_t)((winding_t*)0)->p[w->numpoints];
    memcpy(c, w, size);
    return c;
}
 
winding_t* ReverseWinding (const winding_t* w)
{
    winding_t* c = AllocWinding(w->numpoints);
 
    for (int i = 0; i < w->numpoints; i++) {
        VectorCopy(w->p[w->numpoints - 1 - i], c->p[i]);
    }
    c->numpoints = w->numpoints;
    return c;
}
 
void ClipWindingEpsilon (const winding_t* in, const vec3_t normal, const vec_t dist,
        const vec_t epsilon, winding_t** front, winding_t** back)
{
    vec_t dists[MAX_POINTS_ON_WINDING + 4];
    int sides[MAX_POINTS_ON_WINDING + 4];
    int counts[3];
    int i;
    winding_t* f, *b;
 
    VectorClear(counts);
 
    /* determine sides for each point */
    for (i = 0; i < in->numpoints; i++) {
        const vec_t dot = DotProduct(in->p[i], normal) - dist;
        dists[i] = dot;
        if (dot > epsilon)
            sides[i] = SIDE_FRONT;
        else if (dot < -epsilon)
            sides[i] = SIDE_BACK;
        else
            sides[i] = SIDE_ON;
        counts[sides[i]]++;
    }
    sides[i] = sides[0];
    dists[i] = dists[0];
 
    if (!counts[0]) {
        *back = CopyWinding(in);
        *front = nullptr;
        return;
    }
    if (!counts[1]) {
        *front = CopyWinding(in);
        *back = nullptr;
        return;
    }
 
    /* can't use counts[0] + 2 because of floating point grouping errors */
    int maxpts = in->numpoints + 4;
 
    *front = f = AllocWinding(maxpts);
    *back = b = AllocWinding(maxpts);
 
    for (i = 0; i < in->numpoints; i++) {
        const vec_t* p1 = in->p[i];
        const vec_t* p2;
        vec_t dot;
        vec3_t mid;
 
        if (sides[i] == SIDE_ON) {
            VectorCopy(p1, f->p[f->numpoints]);
            f->numpoints++;
            VectorCopy(p1, b->p[b->numpoints]);
            b->numpoints++;
            continue;
        }
 
        if (sides[i] == SIDE_FRONT) {
            VectorCopy(p1, f->p[f->numpoints]);
            f->numpoints++;
        }
        if (sides[i] == SIDE_BACK) {
            VectorCopy(p1, b->p[b->numpoints]);
            b->numpoints++;
        }
 
        if (sides[i + 1] == SIDE_ON || sides[i + 1] == sides[i])
            continue;
 
        /* generate a split point */
        p2 = in->p[(i + 1) % in->numpoints];
 
        dot = dists[i] / (dists[i] - dists[i + 1]);
        /* avoid round off error when possible */
        for (int j = 0; j < 3; j++) {
            if (normal[j] == 1)
                mid[j] = dist;
            else if (normal[j] == -1)
                mid[j] = -dist;
            else
                mid[j] = p1[j] + dot * (p2[j] - p1[j]);
        }
 
        VectorCopy(mid, f->p[f->numpoints]);
        f->numpoints++;
        VectorCopy(mid, b->p[b->numpoints]);
        b->numpoints++;
    }
 
    if (f->numpoints > maxpts || b->numpoints > maxpts)
        Sys_Error("ClipWinding: points exceeded estimate");
    if (f->numpoints > MAX_POINTS_ON_WINDING || b->numpoints > MAX_POINTS_ON_WINDING)
        Sys_Error("ClipWinding: MAX_POINTS_ON_WINDING");
}
 
void ChopWindingInPlace (winding_t** inout, const vec3_t normal, const vec_t dist, const vec_t epsilon)
{
    vec_t dists[MAX_POINTS_ON_WINDING + 4];
    int sides[MAX_POINTS_ON_WINDING + 4];
    int counts[3];
    int i;
 
    winding_t* in = *inout;
    VectorClear(counts);
 
    /* determine sides for each point */
    for (i = 0; i < in->numpoints; i++) {
        const vec_t dot = DotProduct(in->p[i], normal) - dist;
        dists[i] = dot;
        if (dot > epsilon)
            sides[i] = SIDE_FRONT;
        else if (dot < -epsilon)
            sides[i] = SIDE_BACK;
        else {
            sides[i] = SIDE_ON;
        }
        counts[sides[i]]++;
    }
    sides[i] = sides[0];
    dists[i] = dists[0];
 
    if (!counts[0]) {
        FreeWinding(in);
        *inout = nullptr;
        return;
    }
    if (!counts[1])
        return;     /* inout stays the same */
 
    /* cant use counts[0] + 2 because of fp grouping errors */
    int maxpts = in->numpoints + 4;
 
    winding_t* f = AllocWinding(maxpts);
 
    for (i = 0; i < in->numpoints; i++) {
        const vec_t* p1 = in->p[i];
        const vec_t* p2;
        vec_t dot;
 
        if (sides[i] == SIDE_ON) {
            VectorCopy(p1, f->p[f->numpoints]);
            f->numpoints++;
            continue;
        }
 
        if (sides[i] == SIDE_FRONT) {
            VectorCopy(p1, f->p[f->numpoints]);
            f->numpoints++;
        }
 
        if (sides[i + 1] == SIDE_ON || sides[i + 1] == sides[i])
            continue;
 
        /* generate a split point */
        p2 = in->p[(i + 1) % in->numpoints];
 
        dot = dists[i] / (dists[i] - dists[i + 1]);
        /* avoid round off error when possible */
        vec3_t mid;
        for (int j = 0; j < 3; j++) {
            if (normal[j] == 1)
                mid[j] = dist;
            else if (normal[j] == -1)
                mid[j] = -dist;
            else
                mid[j] = p1[j] + dot * (p2[j] - p1[j]);
        }
 
        VectorCopy(mid, f->p[f->numpoints]);
        f->numpoints++;
    }
 
    if (f->numpoints > maxpts)
        Sys_Error("ClipWinding: points exceeded estimate");
    if (f->numpoints > MAX_POINTS_ON_WINDING)
        Sys_Error("ClipWinding: MAX_POINTS_ON_WINDING");
 
    FreeWinding(in);
    *inout = f;
}
 

winding_t* ChopWinding (winding_t* in, vec3_t normal, vec_t dist)
{
    winding_t* f, *b;
 
    ClipWindingEpsilon(in, normal, dist, ON_EPSILON, &f, &b);
    FreeWinding(in);
    if (b)
        FreeWinding(b);
    return f;
}
 
#define EDGE_LENGTH 0.2
bool WindingIsTiny (winding_t* w)
{
    int edges = 0;
    for (int i = 0; i < w->numpoints; i++) {
        const int j = ((i == w->numpoints - 1) ? 0 : i) + 1;
        vec3_t delta;
        VectorSubtract(w->p[j], w->p[i], delta);
        vec_t len = VectorLength(delta);
        if (len > EDGE_LENGTH) {
            if (++edges == 3)
                return false;
        }
    }
    return true;
}

bool WindingIsHuge (const winding_t* w)
{
    for (int i = 0; i < w->numpoints; i++) {
        for (int j = 0; j < 3; j++)
            if (w->p[i][j] < -MAX_WORLD_WIDTH || w->p[i][j] > MAX_WORLD_WIDTH)
                return true;
    }
    return false;
}
 
#define SNAP_EPSILON    0.01

static void SnapWeldVector (const vec3_t a, const vec3_t b, vec3_t out)
{
    /* dummy check */
    if (a == nullptr || b == nullptr || out == nullptr)
        return;
 
    /* do each element */
    for (int i = 0; i < 3; i++) {
        /* round to integer */
        const double ai = rint(a[i]);
        const double bi = rint(a[i]);
 
        /* prefer exact integer */
        if (ai == a[i])
            out[i] = a[i];
        else if (bi == b[i])
            out[i] = b[i];
 
        /* use nearest */
        else if (fabs(ai - a[i]) < fabs(bi - b[i]))
            out[i] = a[i];
        else
            out[i] = b[i];
 
        /* snap */
        vec_t outi = rint(out[i]);
        if (fabs(outi - out[i]) <= SNAP_EPSILON)
            out[i] = outi;
    }
}

bool FixWinding (winding_t* w)
{
    /* dummy check */
    if (!w)
        return false;
 
    bool valid = true;
 
    /* check all verts */
    for (int i = 0; i < w->numpoints; i++) {
        /* get second point index */
        const int j = (i + 1) % w->numpoints;
        vec3_t vec;
 
        /* don't remove points if winding is a triangle */
        if (w->numpoints == 3)
            return valid;
 
        /* degenerate edge? */
        VectorSubtract(w->p[i], w->p[j], vec);
        float dist = VectorLength(vec);
        if (dist < ON_EPSILON) {
            valid = false;
 
            /* create an average point (ydnar 2002-01-26: using nearest-integer weld preference) */
            SnapWeldVector(w->p[i], w->p[j], vec);
            VectorCopy(vec, w->p[i]);
 
            /* move the remaining verts */
            for (int k = i + 2; k < w->numpoints; k++)
                VectorCopy(w->p[k], w->p[k - 1]);
 
            w->numpoints--;
        }
    }
 
    /* one last check and return */
    if (w->numpoints < 3)
        valid = false;
    return valid;
}