Centralize basic math types and functions (part 2)

OVP/D3D7Client/CSphereMgr.cpp

@@ -309,7 +309,7 @@ void CSphereManager::Render (LPDIRECT3DDEVICE7 dev, int level, double bglvl)
 
 	MATRIX3 rcam = *scn->GetCamera()->GetGRot();
 	rcam = mul (ecl2gal, rcam);
-	RenderParam.camdir = _V(rcam.m13, rcam.m23, rcam.m33);
+	RenderParam.camdir = {rcam.m13, rcam.m23, rcam.m33};
 
 	dev->SetRenderState (D3DRENDERSTATE_DESTBLEND, D3DBLEND_ONE);
 	dev->SetRenderState (D3DRENDERSTATE_ALPHABLENDENABLE, TRUE);
@@ -406,7 +406,7 @@ void CSphereManager::ProcessTile (int lvl, int hemisp, int ilat, int nlat, int i
 	static const double rad0 = sqrt(2.0)*PI05;
 	VECTOR3 cnt = TileCentre (hemisp, ilat, nlat, ilng, nlng);
 	double rad = rad0/(double)nlat;
-	double alpha = acos (dotp (RenderParam.camdir, cnt));
+	double alpha = std::acos(dot(RenderParam.camdir, cnt));
 	double adist = alpha - rad;
 	if (adist > RenderParam.viewap) return;
 
@@ -477,8 +477,8 @@ VECTOR3 CSphereManager::TileCentre (int hemisp, int ilat, int nlat, int ilng, in
 {
 	double cntlat = PI05 * ((double)ilat+0.5)/(double)nlat,      slat = sin(cntlat), clat = cos(cntlat);
 	double cntlng = PI2  * ((double)ilng+0.5)/(double)nlng + PI, slng = sin(cntlng), clng = cos(cntlng);
-	if (hemisp) return _V(clat*clng, -slat, -clat*slng);
-	else        return _V(clat*clng,  slat,  clat*slng);
+	if (hemisp) return {clat*clng, -slat, -clat*slng};
+	else        return {clat*clng,  slat,  clat*slng};
 }
 
 // =======================================================================

OVP/D3D7Client/CloudMgr.cpp

@@ -36,7 +36,7 @@ CloudManager::CloudManager (const D3D7Client *gclient, const vPlanet *vplanet)
 	maxlvl = min (*(int*)gc->GetConfigParam (CFGPRM_SURFACEMAXLEVEL),        // global setting
 	              *(int*)oapiGetObjectParam (obj, OBJPRM_PLANET_SURFACEMAXLEVEL)); // planet-specific setting
 	maxbaselvl = min (8, maxlvl);
-	pcdir = _V(1,0,0);
+	pcdir = {1,0,0};
 	lightfac = *(double*)gc->GetConfigParam (CFGPRM_SURFACELIGHTBRT);
 	nmask = 0;
 	nhitex = nhispec = 0;

OVP/D3D7Client/HazeMgr.cpp

@@ -36,7 +36,7 @@ HazeManager::HazeManager (const D3D7Client *gclient, const vPlanet *vplanet)
 		dens0 = (float)(min (1.0, atmc->horizonalt/64e3 *
 			*(double*)oapiGetObjectParam (obj, OBJPRM_PLANET_HAZEDENSITY)));
 	} else {
-		basecol = _V(1,1,1);
+		basecol = {1,1,1};
 		hralt = 0.01f;
 		dens0 = 1.0f;
 	}
@@ -113,7 +113,7 @@ void HazeManager::Render (LPDIRECT3DDEVICE7 dev, D3DMATRIX &wmat, bool dual)
 	float dens = (float)max (1.0, 1.4 - 0.3/hralt*(cdist-1.0)); // saturate haze colour at low altitudes
 	if (dual) dens *= (float)(0.5 + 0.5/cdist);                 // scale down intensity at large distances
 
-	normalise (rpos);
+	rpos = unit(rpos);
 	cost = (float)rpos.y, sint = (float)sqrt (1.0-cost*cost);
 	phi = atan2 (rpos.z, rpos.x), cosp = (float)cos(phi), sinp = (float)sin(phi);
 	D3DMATRIX rmat = {cost*cosp, -sint, cost*sinp, 0,
@@ -131,8 +131,8 @@ void HazeManager::Render (LPDIRECT3DDEVICE7 dev, D3DMATRIX &wmat, bool dual)
 	oapiGetGlobalPos (obj, &gpos);
 	psun = tmul (grot, -gpos); // sun in planet coords
 	psun = mul (rrmat, psun);  // sun in camera-relative horizon coords
-	VECTOR3 cs = psun-cpos; normalise(cs); // camera->sun
-	normalise (psun);
+	VECTOR3 cs = unit(psun - cpos); // camera->sun
+	psun = unit(psun);
 	float psunx = (float)psun.x, psuny = (float)psun.y, psunz = (float)psun.z;
 
 	colofs = (dual ? 0.4 : 0.3);
@@ -146,10 +146,10 @@ void HazeManager::Render (LPDIRECT3DDEVICE7 dev, D3DMATRIX &wmat, bool dual)
 	dev->SetTextureStageState (0, D3DTSS_ADDRESS, D3DTADDRESS_CLAMP);
 
 	for (i = j = 0; i < HORIZON_NSEG; i++) {
-		VECTOR3 hp = {Vtx[j].x = r1*CosP[i], Vtx[j].y = h1, Vtx[j].z = r1*SinP[i]};
-		csun = dotp (hp, psun);
-		VECTOR3 cp = hp-cpos; normalise(cp);
-		double colsh = 0.5*(dotp (cp,cs) + 1.0);
+		VECTOR3 hp{Vtx[j].x = r1*CosP[i], Vtx[j].y = h1, Vtx[j].z = r1*SinP[i]};
+		csun = dot(hp, psun);
+		VECTOR3 cp = unit(hp - cpos);
+		double colsh = 0.5 * (dot(cp, cs) + 1.0);
 
 		// compose a colourful sunset
 		double maxred   = colofs-0.18*colsh,  minred   = maxred-0.4;

OVP/D3D7Client/Light.cpp

@@ -22,7 +22,7 @@
 D3D7Light::D3D7Light (OBJHANDLE _hObj, LTYPE _ltype, const Scene *scene, DWORD _idx)
 {
 	hObj = _hObj;
-	rpos = _V(0,0,0);
+	rpos = {0,0,0};
 	ltype = _ltype;
 	scn = scene;
 	idx = _idx;
@@ -64,7 +64,7 @@ void D3D7Light::UpdateDirectional ()
 	VECTOR3 rpos;
 	oapiGetGlobalPos (hObj, &rpos);
 	rpos -= *scn->GetCamera()->GetGPos(); // object position rel. to camera
-	rpos /= -length(rpos); // normalise
+	rpos /= -len(rpos); // normalise
 	D3DVEC(rpos, light.dvDirection);
 }
 

OVP/D3D7Client/Particle.cpp

@@ -58,7 +58,7 @@ D3D7ParticleStream::D3D7ParticleStream (GraphicsClient *_gc, PARTICLESTREAMSPEC
 	d3d7c = (D3D7Client*)_gc;
 	cam_ref = d3d7c->GetScene()->GetCamera()->GetGPos();
 	src_ref = 0;
-	src_ofs = _V(0,0,0);
+	src_ofs = {0,0,0};
 	interval = 0.1;
 	SetSpecs (pss ? pss : &DefaultParticleStreamSpec);
 	t0 = oapiGetSimTime();
@@ -590,8 +590,8 @@ void ExhaustStream::Update ()
 								  ((double)rand()/(double)RAND_MAX-0.5)*dv_scale};
 					dv += vv;
 
-					normalise(s);
-					VECTOR3 vv2 = dv - s*dotp(s,dv);
+					s = unit(s);
+					VECTOR3 vv2 = dv - s * dot(s, dv);
 					if (length(vv2)) vv2 *= 0.5*length(vv)/length(vv2);
 					vv2 += s*(((double)rand()/(double)RAND_MAX)*dv_scale);
 					p->vel = vv2*1.0/*2.0*/+av;
@@ -675,9 +675,9 @@ void ExhaustStream::RenderGroundShadow (LPDIRECT3DDEVICE7 dev, LPDIRECTDRAWSURFA
 			rad += oapiSurfaceElevation (hPlanet, lng, lat);
 
 			// calculate the intersection of the vessel's shadow with the planet surface
-			double fac1 = dotp (sd, pv0);
+			double fac1 = dot(sd, pv0);
 			if (fac1 > 0.0) return;       // shadow doesn't intersect planet surface
-			double arg  = fac1*fac1 - (dotp (pv0, pv0) - rad*rad);
+			double arg = fac1 * fac1 - (dot(pv0, pv0) - rad * rad);
 			if (arg <= 0.0) return;       // shadow doesn't intersect with planet surface
 			double a = -fac1 - sqrt(arg);
 			VECTOR3 shp = sd*a;           // projection point in global frame
@@ -696,9 +696,9 @@ void ExhaustStream::RenderGroundShadow (LPDIRECT3DDEVICE7 dev, LPDIRECTDRAWSURFA
 		VECTOR3 pvr = p->pos - pp;   // rel. particle position
 
 		// calculate the intersection of the vessel's shadow with the planet surface
-		double fac1 = dotp (sd, pvr);
+		double fac1 = dot(sd, pvr);
 		if (fac1 > 0.0) break;       // shadow doesn't intersect planet surface
-		double arg  = fac1*fac1 - (dotp (pvr, pvr) - rad*rad);
+		double arg = fac1 * fac1 - (dot(pvr, pvr) - rad * rad);
 		if (arg <= 0.0) break;       // shadow doesn't intersect with planet surface
 		double a = -fac1 - sqrt(arg);
 
@@ -734,7 +734,7 @@ ReentryStream::ReentryStream (oapi::GraphicsClient *_gc, OBJHANDLE hV, PARTICLES
 : D3D7ParticleStream (_gc, pss)
 {
 	llevel = 1.0;
-	Attach (hV, _V(0,0,0), _V(0,0,0), &llevel);
+	Attach (hV, {0,0,0}, {0,0,0}, &llevel);
 	hPlanet = 0;
 }
 

OVP/D3D7Client/Scene.cpp

@@ -292,13 +292,13 @@ VECTOR3 Scene::SkyColour ()
 		if (cdist < atmp->radlimit) {
 			ATMPARAM prm;
 			oapiGetPlanetAtmParams (hProxy, cdist, &prm);
-			normalise (rp);
-			double coss = dotp (pc, rp) / -cdist;
+			rp = unit(rp);
+			double coss = dot(pc, rp) / -cdist;
 			double intens = min (1.0,(1.0839*coss+0.4581)) * sqrt (prm.rho/atmp->rho0);
 			// => intensity=0 at sun zenith distance 115�
 			//    intensity=1 at sun zenith distance 60�
 			if (intens > 0.0)
-				col += _V(atmp->color0.x*intens, atmp->color0.y*intens, atmp->color0.z*intens);
+				col += {atmp->color0.x*intens, atmp->color0.y*intens, atmp->color0.z*intens};
 		}
 		for (int i = 0; i < 3; i++)
 			if (col.data[i] > 1.0) col.data[i] = 1.0;
@@ -450,7 +450,7 @@ void Scene::Render ()
 							const std::vector<oapi::GraphicsClient::LABELSPEC>& ls = list[n].marker;
 							VECTOR3 sp;
 							for (j = 0; j < ls.size(); j++) {
-								if (dotp(ls[j].pos, cpos - ls[j].pos) >= 0.0) { // surface point visible?
+								if (dot(ls[j].pos, cpos - ls[j].pos) >= 0.0) { // surface point visible?
 									sp = mul(prot, ls[j].pos) + ppos;
 									RenderObjectMarker(pSkp, sp, ls[j].label[0], ls[j].label[1], list[n].shape, size);
 								}
@@ -642,8 +642,7 @@ void Scene::RenderVesselShadows (OBJHANDLE hPlanet, float depth) const
 
 void Scene::RenderObjectMarker (oapi::Sketchpad* pSkp, const VECTOR3 &gpos, const std::string& label1, const std::string& label2, int mode, int scale)
 {
-	VECTOR3 dp (gpos - *cam->GetGPos());
-	normalise (dp);
+	VECTOR3 dp = unit(gpos - *cam->GetGPos());
 	m_celSphere->RenderMarker(pSkp, dp, label1, label2, mode, scale);
 }
 

OVP/D3D7Client/SurfMgr.cpp

@@ -32,7 +32,7 @@ SurfaceManager::SurfaceManager (const D3D7Client *gclient, const vPlanet *vplane
 	maxlvl = min (*(int*)gc->GetConfigParam (CFGPRM_SURFACEMAXLEVEL),        // global setting
 	              *(int*)oapiGetObjectParam (obj, OBJPRM_PLANET_SURFACEMAXLEVEL)); // planet-specific setting
 	maxbaselvl = min (8, maxlvl);
-	pcdir = _V(1,0,0);
+	pcdir = {1,0,0};
 	lightfac = *(double*)gc->GetConfigParam (CFGPRM_SURFACELIGHTBRT);
 	spec_base = 0.95f;
 	atmc = oapiGetPlanetAtmConstants (obj);

OVP/D3D7Client/TileMgr.cpp

@@ -431,9 +431,8 @@ void TileManager::Render (LPDIRECT3DDEVICE7 dev, D3DMATRIX &wmat, double scale,
 	D3DMAT_Copy (&RenderParam.wmat, &wmat);
 	D3DMAT_Copy (&RenderParam.wmat_tmp, &wmat);
 	D3DMAT_MatrixInvert (&imat, &wmat);
-	RenderParam.cdir = _V(imat._41, imat._42, imat._43); // camera position in local coordinates (units of planet radii)
-	RenderParam.cpos = vp->PosFromCamera() * scale;
-	normalise (RenderParam.cdir);                        // camera direction
+	RenderParam.cdir = unit(VECTOR3{imat._41, imat._42, imat._43}); // camera direction
+	RenderParam.cpos = vp->PosFromCamera() * scale; // camera position in local coordinates (units of planet radii)
 	RenderParam.bfog = bfog;
 
 	oapiGetRotationMatrix (obj, &RenderParam.grot);
@@ -443,11 +442,10 @@ void TileManager::Render (LPDIRECT3DDEVICE7 dev, D3DMATRIX &wmat, double scale,
 	RenderParam.objsize = oapiGetSize (obj);
 	RenderParam.cdist = vp->CamDist() / vp->rad; // camera distance in units of planet radius
 	RenderParam.viewap = (viewap ? viewap : acos (1.0/max (1.0, RenderParam.cdist)));
-	RenderParam.sdir = tmul (RenderParam.grot, -gpos);
-	normalise (RenderParam.sdir); // sun direction in planet frame
+	RenderParam.sdir = unit(tmul(RenderParam.grot, -gpos)); // sun direction in planet frame
 
 	// limit resolution for fast camera movements
-	double limitstep, cstep = acos (dotp (RenderParam.cdir, pcdir));
+	double limitstep, cstep = std::acos(dot(RenderParam.cdir, pcdir));
 	int maxlevel = SURF_MAX_PATCHLEVEL;
 	static double limitstep0 = 5.12 * pow(2.0, -(double)SURF_MAX_PATCHLEVEL);
 	for (limitstep = limitstep0; cstep > limitstep && maxlevel > 5; limitstep *= 2.0)
@@ -512,7 +510,7 @@ void TileManager::ProcessTile (int lvl, int hemisp, int ilat, int nlat, int ilng
 	static const double rad0 = sqrt(2.0)*PI05*0.5;
 	VECTOR3 cnt = TileCentre (hemisp, ilat, nlat, ilng, nlng);
 	double rad = rad0/(double)nlat;
-	double adist = acos (dotp (RenderParam.cdir, cnt)) - rad;
+	double adist = std::acos(dot(RenderParam.cdir, cnt)) - rad;
 	if (adist >= RenderParam.viewap) {
 		tilebuf->DeleteSubTiles (tile); // remove tile descriptions below
 		return;
@@ -594,7 +592,7 @@ void TileManager::ProcessTile (int lvl, int hemisp, int ilat, int nlat, int ilng
 		}
 	} else {
 		// actually render the tile at this level
-		double sdist = acos (dotp (RenderParam.sdir, cnt));
+		double sdist = std::acos(dot(RenderParam.sdir, cnt));
 		if (bCoarseTex) {
 			if (sdist > PI05+rad && bkp_flag & 2) bkp_flag &= 0xFD, bkp_flag |= 1; // supress specular reflection on dark side
 			RenderTile (lvl, hemisp, ilat, nlat, ilng, nlng, sdist, tile, bkp_range, bkp_tex, bkp_ltex, bkp_flag);
@@ -665,8 +663,8 @@ VECTOR3 TileManager::TileCentre (int hemisp, int ilat, int nlat, int ilng, int n
 {
 	double cntlat = PI*0.5 * ((double)ilat+0.5)/(double)nlat,      slat = sin(cntlat), clat = cos(cntlat);
 	double cntlng = PI*2.0 * ((double)ilng+0.5)/(double)nlng + PI, slng = sin(cntlng), clng = cos(cntlng);
-	if (hemisp) return _V(clat*clng, -slat, -clat*slng);
-	else        return _V(clat*clng,  slat,  clat*slng);
+	if (hemisp) return {clat*clng, -slat, -clat*slng};
+	else        return {clat*clng,  slat,  clat*slng};
 }
 
 // =======================================================================
@@ -751,7 +749,7 @@ bool TileManager::SpecularColour (D3DCOLORVALUE *col)
 		return false;
 	} else {
 		double fac = 0.7; // needs thought ...
-		double cosa = dotp (RenderParam.cdir, RenderParam.sdir);
+		double cosa = dot(RenderParam.cdir, RenderParam.sdir);
 		double alpha = 0.5*acos(cosa); // sun reflection angle
 		double scale = sin(alpha)*fac;
 		col->r = (float)max(0.0, spec_base - scale*atmc->color0.x);

OVP/D3D7Client/VBase.cpp

@@ -203,7 +203,7 @@ bool vBase::Update ()
 	if (simt > Tchk) {
 		VECTOR3 pos, sdir;
 		MATRIX3 rot;
-		oapiGetGlobalPos (hObj, &pos); normalise(pos);
+		oapiGetGlobalPos (hObj, &pos); pos = unit(pos);
 		oapiGetRotationMatrix (hObj, &rot);
 		sdir = tmul (rot, -pos);
 		double csun = sdir.y;
@@ -298,10 +298,10 @@ void vBase::RenderGroundShadow (LPDIRECT3DDEVICE7 dev)
 	oapiGetGlobalPos (hPlanet, &pp);              // planet global pos
 	oapiGetGlobalPos (hObj, &sd);                 // base global pos
 	pvr = sd-pp;                                  // planet-relative base position
-	d = length (pvr);                             // planet radius at base location
-	normalise (sd);                               // shadow projection direction
+	d = len(pvr);                                 // planet radius at base location
+	sd = unit(sd);                                // shadow projection direction
 
-	double fac1 = dotp (sd, pvr);
+	double fac1 = dot(sd, pvr);
 	if (fac1 > 0.0)                               // base is on planet night-side
 		return;
 	csun = -fac1/d;                               // sun elevation above horizon
@@ -311,11 +311,11 @@ void vBase::RenderGroundShadow (LPDIRECT3DDEVICE7 dev)
 	MATRIX3 vR;
 	oapiGetRotationMatrix (hObj, &vR);
 	VECTOR3 sdv = tmul (vR, sd);     // projection direction in base frame
-	VECTOR3 hnp = pvr; normalise(hnp);
+	VECTOR3 hnp = unit(pvr);
 	VECTOR3 hn = tmul (vR, hnp);     // horizon normal in vessel frame
 
 	// perform projections
-	double nd = dotp (hn, sdv);
+	double nd = dot(hn, sdv);
 	VECTOR3 sdvs = sdv / nd;
 	if (!sdvs.y) return; // required for plane offset correction
 
@@ -382,16 +382,16 @@ bool vBase::ModLighting (LPD3DLIGHT7 light, double &nextcheck)
 	oapiGetGlobalPos (hS, &GS);            // sun position
 	oapiGetGlobalPos (hP, &GP);            // planet position
 	S = GS-GB;                             // sun's position from base
-	s = length(S);                         // sun's distance
+	s = len(S);                         // sun's distance
 	rs = oapiGetSize (hS);
 	as = asin (rs/s);                      // apparent radius of sun's disc [rad]
 	double amb = 0;
 	bool lightmod = false;
 
 	// Calculate shadowing by planet
 	P = GP-GB;
-	p = length(P);
-	phi = acos (dotp(S,P)/(s*p));    // angular distance between sun and planet
+	p = len(P);
+	phi = std::acos(dot(S, P) / (s * p));    // angular distance between sun and planet
 	static const double ap = PI05;   // apparent size of planet disc [rad]
 
 	const ATMCONST *atm = (oapiGetObjectType(hP)==OBJTP_PLANET ? oapiGetPlanetAtmConstants (hP) : NULL);

OVP/D3D7Client/VObject.cpp

@@ -138,13 +138,13 @@ void vObject::UpdateRenderVectors()
 			double scale = size * *(float*)gc->GetConfigParam(CFGPRM_FRAMEAXISSCALE);
 			double rad = size * 0.01;
 			float alpha = *(float*)gc->GetConfigParam(CFGPRM_FRAMEAXISOPACITY);
-			AddVector(_V(scale, 0, 0), _V(0, 0, 0), rad, std::string("+x"), _V(1, 1, 1), alpha, D3DRGB(1, 1, 1));
-			AddVector(_V(0, scale, 0), _V(0, 0, 0), rad, std::string("+y"), _V(1, 1, 1), alpha, D3DRGB(1, 1, 1));
-			AddVector(_V(0, 0, scale), _V(0, 0, 0), rad, std::string("+z"), _V(1, 1, 1), alpha, D3DRGB(1, 1, 1));
+			AddVector({scale, 0, 0}, {0, 0, 0}, rad, std::string("+x"), {1, 1, 1}, alpha, D3DRGB(1, 1, 1));
+			AddVector({0, scale, 0}, {0, 0, 0}, rad, std::string("+y"), {1, 1, 1}, alpha, D3DRGB(1, 1, 1));
+			AddVector({0, 0, scale}, {0, 0, 0}, rad, std::string("+z"), {1, 1, 1}, alpha, D3DRGB(1, 1, 1));
 			if (flag & FAV_NEGATIVE) {
-				AddVector(_V(-scale, 0, 0), _V(0, 0, 0), rad, std::string("-x"), _V(1, 1, 1), alpha, D3DRGB(1, 1, 1));
-				AddVector(_V(0, -scale, 0), _V(0, 0, 0), rad, std::string("-y"), _V(1, 1, 1), alpha, D3DRGB(1, 1, 1));
-				AddVector(_V(0, 0, -scale), _V(0, 0, 0), rad, std::string("-z"), _V(1, 1, 1), alpha, D3DRGB(1, 1, 1));
+				AddVector({-scale, 0, 0}, {0, 0, 0}, rad, std::string("-x"), {1, 1, 1}, alpha, D3DRGB(1, 1, 1));
+				AddVector({0, -scale, 0}, {0, 0, 0}, rad, std::string("-y"), {1, 1, 1}, alpha, D3DRGB(1, 1, 1));
+				AddVector({0, 0, -scale}, {0, 0, 0}, rad, std::string("-z"), {1, 1, 1}, alpha, D3DRGB(1, 1, 1));
 			}
 		}
 	}
@@ -167,7 +167,7 @@ void vObject::RenderSpot (LPDIRECT3DDEVICE7 dev, const VECTOR3 *ofs, float size,
 	float sphi = (float)sin(phi), cphi = (float)cos(phi);
 
 	const double ambient = 0.2;
-	double cosa = dotp (unit(gpos), unit(gpos - camp));
+	double cosa = dot(unit(gpos), unit(gpos - camp));
 	double intens = (lighting ? 0.5 * ((1.0-ambient)*cosa + 1.0+ambient) : 1.0);
 
 	W._11 =  (float)bdir.x;
@@ -330,7 +330,7 @@ bool vObject::DrawVector(LPDIRECT3DDEVICE7 dev, const VECTOR3& end, const VECTOR
 	VECTOR3 gpos;
 	oapiGetRotationMatrix(hObj, &grot);
 	VECTOR3 cp = tmul(grot, -cpos);
-	if (dotp(d, unit(end - cp)) > 0)
+	if (dot(d, unit(end - cp)) > 0)
 		Idx = Idx1, nIdx = nIdx1;
 	else
 		Idx = Idx0, nIdx = nIdx0;

OVP/D3D7Client/VPlanet.cpp

@@ -321,7 +321,7 @@ void vPlanet::CheckResolution ()
 
 void vPlanet::RenderZRange (double *nplane, double *fplane)
 {
-	double d = dotp (*scn->GetCamera()->GetGDir(), cpos);
+	double d = dot(*scn->GetCamera()->GetGDir(), cpos);
 	*fplane = max (1e3, d+rad*1.2);
 	*nplane = max (1e0, d-rad*1.2);
 	*fplane = min (*fplane, *nplane*1e5);
@@ -411,7 +411,7 @@ bool vPlanet::Render (LPDIRECT3DDEVICE7 dev)
 				// day/nighttime fog lighting
 				VECTOR3 ppos;
 				oapiGetGlobalPos (hObj, &ppos);
-				double cosa = dotp (unit(ppos), unit(cpos));
+				double cosa = dot(unit(ppos), unit(cpos));
 				double bright = 1.0 * max (0.0, min (1.0, cosa + 0.3));
 				float rfog = (float)(bright*(min(1.0,fogcol.x)+0.0)); // "whiten" the fog colour
 				float gfog = (float)(bright*(min(1.0,fogcol.y)+0.0));
@@ -738,7 +738,7 @@ bool vPlanet::ModLighting (DWORD &ambient)
 	if (!prm.bAtm) return false;
 	if (cdist >= size+prm.atm_href) return false;
 
-	double alpha = acos (dotp (unit(*scn->GetCamera()->GetGPos()), -unit(cpos)));
+	double alpha = std::acos(dot(unit(*scn->GetCamera()->GetGPos()), -unit(cpos)));
 	// angular distance between sun and planet as seen from camera
 
 	double sunelev = alpha - PI05; // elevation of sun above horizon (assuming camera on ground)