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draw_set_font(fnt_message); draw_set_halign(fa_center); draw_set_valign(fa_top); hh = string_height_ext(argument0,-1,ww) + string_height('A'); draw_set_alpha(0.7); draw_set_color(11135725); draw_roundrect(15,15,15+ww+10,15+hh+10,false); draw_set_color(0); draw_roundrect(15,15,15+ww+10,15+hh+10,true); draw_text_ext(room_width div 2, 20,argument0,-1,ww); // draw_set_color(c_red); // draw_text(room_width div 2, 20+hh-string_height('A'),'Press to Continue'); } add_rotation_quaternion_c //obsolete var q0,q1,q2,q3,phi,theta,psi,temp1,temp2; q0=argument0; q1=argument1; q2=argument2; q3=argument3; // Try to convert quaternion q0,q1,q2,q3 into angles; // Conversion fails in some cases but will work if system is rotated 90 // degrees about y so we try both cases and use the one that shows // the least "stress". // Formula from Wikipedia: http://en.wikipedia.org/wiki/Conversion_between_quaternions_and_Euler_angles // Coordinate ordering is x,y,z using gamemaker orientation. // The following code rotates the quaternion by 90 degrees about the y // axis. 90 degrees is a special case that yields a relatively simple // result. This is a simplification of the more general formula for // rotation around an axis. The code is redundant, it has been eliminated // by substituting for qq0,qq1,qq2,qq3 in later formulae. // sq=sqrt(0.5); // qq0=(q0*sq+q2*sq); // qq1=(q1*sq+q3*sq); // qq2=(q2*sq-q0*sq); // qq3=(q3*sq-q1*sq); // the formula for Euler angles fails when the value of sin(theta) // approaches 1 or -1 so we calculate this part of the formula beforehand temp1=-2*(q1 *q3 -q0 *q2 ); // temp2=-2*(qq1*qq3-qq0*qq2); //we also calculate the same variable for the 90 degree rotated case // must check this temp2=sqr(q1)+sqr(q2)-sqr(q0)-sqr(q3); //the one that is nearest to zero is most valid if abs(temp1)0 and d>0 { b=a*2/(sqr(d)*(mass+other.mass)); hspeed-=dx*b*other.mass; vspeed-=dy*b*other.mass; zspeed-=dz*b*other.mass; other.hspeed+=dx*b*mass; other.vspeed+=dy*b*mass; other.zspeed+=dz*b*mass; } } rebound_2d-var d,a,b,dx,dy; dx=other.x-x; dy=other.y-y; d=point_distance(0,0,dx,dy); a=((hspeed-other.hspeed)*dx+(vspeed-other.vspeed)*dy)*0.8+d; if a>0 and d>0 { b=a*2/(sqr(d)*(mass+other.mass)); hspeed-=dx*b*other.mass; vspeed-=dy*b*other.mass; other.hspeed+=dx*b*mass; other.vspeed+=dy*b*mass; } hit_wall_slided// Simple platform movement code // Oliver Broad 2004 // This code goes in the End_Step event // // First test if a collision occured // Note this version should be more reliable in games where // collision events can modify speed and direction // however it may lead to slightly inconsistant collision handling // /* x=xprevious y=yprevious if place_free(x+hspeed,y+vspeed) { x+=hspeed y+=vspeed } else { */ //Move horizontally, testing for contact if hspeed<>0 { move_contact_solid(180*(hspeed<0),abs(hspeed)) if not place_free(x+sign(hspeed),y) { hspeed=0 } } //Move vertically, testing for contact if vspeed<>0 { move_contact_solid(90+180*(vspeed>0),abs(vspeed)) if not place_free(x,y+sign(vspeed)) { vspeed=0 } } /* } */  rebound_weakvar d,a,b,dx,dy,dz; dx=other.x-x; dy=other.y-y; dz=other.z-z; //d=point_distance(0,0,dx,dy); d=sqrt(sqr(dx)+sqr(dy)+sqr(dz)); if d<=(radius+other.radius) { a=((hspeed-other.hspeed)*dx+(vspeed-other.vspeed)*dy+(zspeed-other.zspeed)*dz)*0.4+d; if a>0 and d>0 { b=a*2/(sqr(d)*(mass+other.mass)); hspeed-=dx*b*other.mass; vspeed-=dy*b*other.mass; zspeed-=dz*b*other.mass; other.hspeed+=dx*b*mass; other.vspeed+=dy*b*mass; other.zspeed+=dz*b*mass; } }$quaternion_documentation_placeholderb/* Placeholder script, does nothing * 22 July 2006 */ /** \file Quaternions.gml * * A collection of Gamemaker scripts for rotation using simplified * quaternion algebra. * * Quaternions are derived from complex numbers, and whereas a unit * complex number can describe an orientation in a 2D space a * quaternion can describe any orientation in a 3D space and * provides a code-efficient means to transform orientations * particularly in Gamemaker where the more usual matrix algebra * would require a larger number of operations for the same result * * Quaternions have many of the characteristics of rotation matrices * and indeed the same results could be obtained from matrices, however * as Gamemaker does not have vectorised math functions (matrix functions) * quaternions appear preferable due to requiring less operations. * */ !d3d_quaternion_set_projection_neg /** \def d3d_quaternion_set_projection_neg(x,y,z,q0,q1,q2,q3) * d3d_quaternion_set_projection_neg(x,y,z,q0,q1,q2,q3) * * Set a camera orientation from a quaternion * This script treats -x as the base direction, eg looking LEFT on the map, * which is inconsistant with the rest of Gamemaker but was convenient in * d3d as on a textured sphere the middle of the texture faces left. * This function will be replaced, for consistancy with 2D games where * zero degrees means looking right. * * */ //Optimised vectorisation for camera? //Formulae obtained by expanding out q.v.q* formula to give formulae //for the object's x and z vectors //precalculate common expressions var t1,t2; t1=sqr(argument3)-sqr(argument5) t2=sqr(argument4)-sqr(argument6) d3d_set_projection(argument0,argument1,argument2,argument0-(t1+t2),argument1-2*(argument4*argument5+argument3*argument6),argument2-2*(argument4*argument6-argument3*argument5),2*(argument4*argument6+argument3*argument5),2*(argument5*argument6-argument3*argument4),t1-t2); "d3d_quaternion_light_direction_neg:/** \def d3d_quaternion_light_direction_neg(ind,q0,q1,q2,q3,color) * d3d_quaternion_light_direction_neg(ind,q0,q1,q2,q3,color) * * Arguments are ind,q0,q1,q2,q3,color * * Applies a directional light according to a quaternion * * Script treats -x as the base direction. */ //vectorisation of -x direction //Formulae obtained by expanding out q.v.q* formula; d3d_light_define_direction(argument0,-(sqr(argument1)+sqr(argument2)-sqr(argument3)-sqr(argument4)),-2*(argument2*argument3+argument1*argument4),-2*(argument2*argument4-argument1*argument3),argument5); quaternion_ball_roll_simple"/** \def quaternion_ball_roll_simple(radius) * quaternion_ball_roll_simple(radius) * * This function implements a simple rolling motion * by converting the object's hspeed,vspeed into * a rotation and applying that to the object's * orientation (q0,q1,q2,q3). */ var t0,t1,t2,t3,vx,vy,vz,radius,temp,temp1; radius=argument0; // ang=degtorad(-5)/2; // note that this function takes advantage of the fact that // the angle in radians that the object has rolled is // equal to the linear distance divided by the radius // also note that the factor of 2 that turns up repeatedly // is because quaternion rotations require the angle to be halved // sinc(x)=sin(x)/x but fiddled such that sinc(0)=1 // it is used to prevent division-by-zero errors /*if speed*100>radius { temp=sin(speed/(radius*2))/speed; } else { temp=1/(radius*2); } */ /* movement vector is (hspeed,vspeed,0) the cross-product of this and the vector pointing to the point of contact: (0,0,-1) yields (-vspeed,hspeed,0) */ vx=-vspeed/(radius*2); vy=hspeed/(radius*2); vz=0; temp=sqrt(sqr(vx)+sqr(vy)+sqr(vz)); temp1=sinc(temp); t0=cos(temp); t1=vx*temp1; t2=vy*temp1; t3=vz; // We use a LEFT multiply to carry out the rotation relative to the games // reference not the object's reference multiply_quaternion_left(t0,t1,t2,t3); d3d_add_rotation_quaternion/** \def d3d_add_rotation_quaternion(q0,q1,q2,q3) * d3d_add_rotation_quaternion(q0,q1,q2,q3) * * Function to apply quaternion q0,q1,q2,q3 to the current drawing state * using a rotation about an axis. * The function uses d3d_transform_add_rotation_axis * * note that although I do not have mathematical proof it appears * as though any orientation may be expressed as a single rotation about * an axis, and therefore that any combination of rotations about multiple * axes may be combined into one rotation about new axis */ // The commented version is the code written out in full for clarity //var q0,q1,q2,q3,mag,theta; //q0=argument0; //q1=argument1; //q2=argument2; //q3=argument3; //mag=sqrt(sqr(q1)+sqr(q2)+sqr(q3)); //theta=radtodeg(arctan2(mag,q0))*2; //d3d_transform_add_rotation_axis(q1,q2,q3,theta); d3d_transform_add_rotation_axis(argument1,argument2,argument3,-radtodeg(arctan2(sqrt(sqr(argument1)+sqr(argument2)+sqr(argument3)),argument0))*2); init_quaternion/** \def init_quaternion() * init_quaternion() * * Sets the variables q0,q1,q2,q3 to the basic unit * quaternion (1,0,0,0); */ q0=1; q1=0; q2=0; q3=0; init_quaternion_random~/** \def init_quaternion_random() * init_quaternion_random() * * Sets the variables q0,q1,q2,q3 to a random orientation * quaternion. This is done by generating random angles * and converting the result to a quaternion * note the special distribution of "theta" needed to * prevent bias towards certain orientations * * Picture a globe, phi is longitude, theta is latitude and psi is which way * you are facing. Phi and Psi can be simply random but if theta is a simple * random number then if you are near the poles the lines of longitude are * closer together. This skews things * * Starting from the equator on a radius 1 globe the area of the northen * hemisphere is 2*pi and the length of a line of latitude is 2*pi*cos(theta). * The area between the equator is 2*pi*sin(theta) (basic integral, only works * in radians otherwise it gets ugly) and from this I infer that sin(theta) * should have a flat distribution and so if theta=arcsin(random) then * sin(theta)=sin(arcsin(random)) so sin(theta)=random (provided random lies * in the range -1 to +1. */ var phi,theta,psi; phi=pi*(random(2)-1); theta=arcsin(random(2)-1); psi=pi*(random(2)-1); //it should give an even spread and not favour the "poles" //as a flat spread of angles would multiply_quaternion(cos(phi/2),sin(phi/2),0,0,cos(theta/2),0,sin(theta/2),0); multiply_quaternion_right(cos(psi/2),0,0,sin(phi/2)); normalise_quaternion/** \def normalise_quaternion() * normalise_quaternion() * * Normalises (q0,q1,q2,q3) * Ensures that math errors have not shifted the absolute value * away from 1. Note that this function uses slow math functions * but the optimised math form uses more code and so would * run slower in Gamemaker. */ var temp; temp=1/sqrt(sqr(q0)+sqr(q1)+sqr(q2)+sqr(q3)); q0*=temp; q1*=temp; q2*=temp; q3*=temp; quaternion_fly_rollT/** \def quaternion_fly_roll(angle) * quaternion_fly_roll(angle) * * roll manouver script for aircraft-like movement * * causes an object to roll by an amount angle * * using multiply_quaternion_right() causes the rotation to be carried out * in the object's reference frame instead of the room's frame */ /* this is old code left in for reference ang=degtorad(argument0)/2; vx=1; vy=0; vz=0; t0=cos(ang); t1=vx*sin(ang); t2=vy*sin(ang); t3=vz*sin(ang); multiply_quaternion_right(t0,t1,t2,t3); */ var ang; ang=degtorad(argument0)/2; multiply_quaternion_right(cos(ang),sin(ang),0,0); quaternion_fly_pitch4/** \def quaternion_fly_pitch(angle) * quaternion_fly_pitch(angle) * * pitch manouver script for aircraft-like movement * * causes an object to pitch by an amount angle * * see quaternion_fly_roll() for details */ var ang; ang=degtorad(argument0)/2; multiply_quaternion_right(cos(ang),0,sin(ang),0); quaternion_fly_yaw-/** \def quaternion_fly_yaw(angle) * quaternion_fly_yaw(angle) * * yaw manouver script for aircraft-like movement * * causes an object to yaw by an amount angle * * see quaternion_fly_roll() for details */ var ang; ang=degtorad(argument0)/2; multiply_quaternion_right(cos(ang),0,0,sin(ang)); quaternion_rotate_vector\/** \def quaternion_rotate_vector(x,y,z) * quaternion_rotate_vector(x,y,z) * * script to rotate a vector by an object's quaternion * * arguments are the x,y,z components of the vector * the result is put into variables vx,vy,vz * * this can be called with (1,0,0) to obtain a vector * pointing the way the object is facing. Use (-1,0,0) * if you are using the _neg functions */ var qq0,qq1,qq2,qq3; qq0=q0; qq1=q1; qq2=q2; qq3=q3; multiply_quaternion_right(0,argument0,argument1,argument2); multiply_quaternion_right(qq0,-qq1,-qq2,-qq3); vx=q1; vy=q2; vz=q3; q0=qq0; q1=qq1; q2=qq2; q3=qq3; sinc/** \def sinc(x) * sinc(x) * * This function is defined as sin(x)/x * It is used by the quaternion_ball_roll_simple() function as part of the * formula for converting a vector into a rotation axis * because it is valid for x=0 and so it won't cause * divide by zero errors * * note that for very small x sinc(x) is close to 1-sqr(x)/6 */ if abs(argument0)>0.0000001 { return sin(argument0)/argument0; }; return 1-sqr(argument0)*0.16666666666666666666666666666667; multiply_quaternion/** \def multiply_quaternion(r0,r1,r2,r3,s0,s1,s2,s3) * multiply_quaternion(r0,r1,r2,r3,s0,s1,s2,s3) * * multiply two quaternions r and s * arguments are real,i,j,k,real2,i2,j2,k2 * result is returned in variables q0,q1,q2,q3 * * note that the order of the two quaternions is very * important. multiply_quaternion(s,r) is not the same as * multiply_quaternion(r,s) */ q0=argument0*argument4-argument1*argument5-argument2*argument6-argument3*argument7; q1=argument0*argument5+argument1*argument4+argument2*argument7-argument3*argument6; q2=argument0*argument6+argument2*argument4+argument3*argument5-argument1*argument7; q3=argument0*argument7+argument3*argument4+argument1*argument6-argument2*argument5; multiply_quaternion_left/** \def multiply_quaternion_left(l0,l1,l2,l3) * multiply_quaternion_left(l0,l1,l2,l3) * * multiply two quaternions l (from arguments) and q (from object) * arguments are real,i,j,k parts of quaternion * * note that the order of the two quaternions is very * important. multiply_quaternion_left will apply a rotation in the * room's reference frame not the object's frame. */ var qq0,qq1,qq2,qq3; qq0=q0; qq1=q1; qq2=q2; qq3=q3; q0=argument0*qq0-argument1*qq1-argument2*qq2-argument3*qq3; q1=argument0*qq1+argument1*qq0+argument2*qq3-argument3*qq2; q2=argument0*qq2+argument2*qq0+argument3*qq1-argument1*qq3; q3=argument0*qq3+argument3*qq0+argument1*qq2-argument2*qq1; multiply_quaternion_rightv/** \def multiply_quaternion_right(r0,r1,r2,r3) * multiply_quaternion_right(r0,r1,r2,r3) * * multiply two quaternions q (from object) and r (from arguments) * arguments are real,i,j,k parts of quaternion * result is returned in variables q0,q1,q2,q3 * * note that the order of the two quaternions is very * important. multiply_quaternion_right will apply a rotation in the * object's reference frame * */ // multiply q0,q1,q2,q3 by a quaternion argument // argument is on the right (the order is important with quaternions) // arguments are real,i,j,k // multiplies q*argument var qq0,qq1,qq2,qq3; qq0=q0; qq1=q1; qq2=q2; qq3=q3; q0=qq0*argument0-qq1*argument1-qq2*argument2-qq3*argument3; q1=qq0*argument1+qq1*argument0+qq2*argument3-qq3*argument2; q2=qq0*argument2+qq2*argument0+qq3*argument1-qq1*argument3; q3=qq0*argument3+qq3*argument0+qq1*argument2-qq2*argument1; %d3d_quaternion_set_projection_neg_extt/** \def d3d_quaternion_set_projection_neg_ext(x,y,z,q0,q1,q2,q3,angle,aspect,znear ,zfar) ) * d3d_quaternion_set_projection_neg_ext(x,y,z,q0,q1,q2,q3,angle,aspect,znear ,zfar) * * angle is width of camera view, 45 degrees default, * aspect is (horizontal/vertical) * eg (view_wport[view_current]/view_hport[view_current]) * znear is the near clipping plane, objects closer than znear are not drawn * znear must be greater than zero, try 1 * zfar is the far clipping plane, objects further than zfar will not be drawn * zfar should be further than the longest line of sight distance in the game * * Set a camera orientation from a quaternion using the extended form * This script treats -x as the base direction, eg looking LEFT on the map, * which is inconsistant with the rest of Gamemaker but was convenient in * d3d as on a textured sphere the middle of the texture faces left. * This function will be replaced, for consistancy with 2D games where * zero degrees means looking right. * * Derived from d3d_quaternion_set_projection_neg(); */ //Optimised vectorisation for camera? //Formulae obtained by expanding out q.v.q* formula to give formulae //for the object's x and z vectors //precalculate common expressions var t1,t2; t1=sqr(argument3)-sqr(argument5) t2=sqr(argument4)-sqr(argument6) d3d_set_projection_ext(argument0,argument1,argument2,argument0-(t1+t2),argument1-2*(argument4*argument5+argument3*argument6),argument2-2*(argument4*argument6-argument3*argument5),2*(argument4*argument6+argument3*argument5),2*(argument5*argument6-argument3*argument4),t1-t2,argument7,argument8,argument9,argument10); d3d_quaternion_light_direction./** \def d3d_quaternion_light_direction(ind,q0,q1,q2,q3,color) * d3d_quaternion_light_direction(ind,q0,q1,q2,q3,color) * * Arguments are ind,q0,q1,q2,q3,color * * Applies a directional light according to a quaternion * * Script treats x as the base direction. */ //vectorisation of +x direction //Formulae obtained by expanding out q.v.q* formula; d3d_light_define_direction(argument0,(sqr(argument1)+sqr(argument2)-sqr(argument3)-sqr(argument4)),2*(argument2*argument3+argument1*argument4),2*(argument2*argument4-argument1*argument3),argument5); d3d_quaternion_set_projection7/** \def d3d_quaternion_set_projection(x,y,z,q0,q1,q2,q3) * d3d_quaternion_set_projection(x,y,z,q0,q1,q2,q3) * * Set a camera orientation from a quaternion * This script treats +x as the base direction, eg looking RIGHT on the map, * to be consistant with the rest of Gamemaker * * */ //Optimised vectorisation for camera? //Formulae obtained by expanding out q.v.q* formula to give formulae //for the object's x and z vectors //precalculate common expressions var t1,t2; t1=sqr(argument3)-sqr(argument5) t2=sqr(argument4)-sqr(argument6) d3d_set_projection(argument0,argument1,argument2,argument0+(t1+t2),argument1+2*(argument4*argument5+argument3*argument6),argument2+2*(argument4*argument6-argument3*argument5),2*(argument4*argument6+argument3*argument5),2*(argument5*argument6-argument3*argument4),t1-t2); !d3d_quaternion_set_projection_ext/** \def d3d_quaternion_set_projection_ext(x,y,z,q0,q1,q2,q3,angle,aspect,znear ,zfar) ) * d3d_quaternion_set_projection_ext(x,y,z,q0,q1,q2,q3,angle,aspect,znear ,zfar) * * Set a camera orientation from a quaternion using the extended form * This script treats +x as the base direction, eg looking RIGHT on the map, * to be consistant with the rest of Gamemaker * * Derived from d3d_quaternion_set_projection_neg(); */ //Optimised vectorisation for camera? //Formulae obtained by expanding out q.v.q* formula to give formulae //for the object's x and z vectors //precalculate common expressions var t1,t2; t1=sqr(argument3)-sqr(argument5) t2=sqr(argument4)-sqr(argument6) d3d_set_projection_ext(argument0,argument1,argument2,argument0+(t1+t2),argument1+2*(argument4*argument5+argument3*argument6),argument2+2*(argument4*argument6-argument3*argument5),2*(argument4*argument6+argument3*argument5),2*(argument5*argument6-argument3*argument4),t1-t2,argument7,argument8,argument9,argument10); d3d_set_rotation_quaternion/** \def d3d_set_rotation_quaternion(q0,q1,q2,q3) * d3d_set_rotation_quaternion(q0,q1,q2,q3) * * Function to apply quaternion q0,q1,q2,q3 to the current drawing state * using a rotation about an axis. * The function uses d3d_transform_set_rotation_axis * * Derived from d3d_add_rotation_quaternion() script * */ d3d_transform_set_rotation_axis(argument1,argument2,argument3,-radtodeg(arctan2(sqrt(sqr(argument1)+sqr(argument2)+sqr(argument3)),argument0))*2); make_donut_model/** \file donut.gml * A script to generate a horizontal ring torus model * with normals and a texture * 22 July 2006 */ /** \def make_donut_model(radius,radius2,steps,steps2) * make_donut_model(radius,radius2,steps,steps2) * * radius is the radius of the torus * radius2 is the radius of the cross-section * so that the total outside radius=radius+radius2 * and the radius of the hole=radius-radius2 * steps=the number of segments round the torus (try 20) * steps2=the number of steps through the hole (try 10) * * returns a model ID * * Model is generated as a series of triangle_strips so the vertex * count is almost half that of a triangle_list form * Model has been tweaked so the texture wraps onto the torus in * a similar way to the basic sphere. * */ var donut_ID0,dx,dx2,dy,xs,ys,r,r2,tx,ty,tz,tx2,ty2,tz2,tx3,ty3,tz3,tx4,ty4,tz4; donut_ID0 = d3d_model_create(); r=argument0; r2=argument1; xs=floor(argument2); ys=floor(argument3); for(dx=0;dxroof-radius { if zspeed>0 { zspeed=min(-zspeed*0.9-min(zgravity,0),0); }; z=roof-radius; }; if z=radius { friction=rollfriction; } else { friction=0; hspeed*=0.99; vspeed*=0.99; zspeed*=0.99; }; 0000000s action_bounce10000000W[var ang,vx,vy,vz,t0,t1,t2,t3,qq0,qq1,qq2,t; ang=degtorad(-5)/2; vx=0; vy=1; vz=0; /* t=sqrt(sqr(vx)+sqr(vy)+sqr(vz)); vx=vx/t; vy=vy/t; vz=vz/t; */ t0=cos(ang); t1=vx*sin(ang); t2=vy*sin(ang); t3=vz*sin(ang); multiply_quaternion_right(t0,t1,t2,t3); 0000000S[var ang,vx,vy,vz,t0,t1,t2,t3,qq0,qq1,qq2,t; ang=degtorad(5)/2; vx=0; vy=1; vz=0; /* t=sqrt(sqr(vx)+sqr(vy)+sqr(vz)); vx=vx/t; vy=vy/t; vz=vz/t; */ t0=cos(ang); t1=vx*sin(ang); t2=vy*sin(ang); t3=vz*sin(ang); multiply_quaternion_right(t0,t1,t2,t3); 0000000Q[ var qq0,qq1,qq2,qq3,vx,vy,vz; qq0=q0; qq1=q1; qq2=q2; qq3=q3; multiply_quaternion(q0,q1,q2,q3,0,-1,0,0); multiply_quaternion_right(qq0,-qq1,-qq2,-qq3); vx=q1; vy=q2; vz=q3; q0=qq0; q1=qq1; q2=qq2; q3=qq3; hspeed+=vx*0.4; vspeed+=vy*0.4; zspeed+=vz*0.4; 0000000D[var ang,vx,vy,vz,t0,t1,t2,t3,qq0,qq1,qq2,t; ang=degtorad(5)/2; vx=1; vy=0; vz=0; /* t=sqrt(sqr(vx)+sqr(vy)+sqr(vz)); vx=vx/t; vy=vy/t; vz=vz/t; */ t0=cos(ang); t1=vx*sin(ang); t2=vy*sin(ang); t3=vz*sin(ang); multiply_quaternion_right(t0,t1,t2,t3); 0000000A[var ang,vx,vy,vz,t0,t1,t2,t3,qq0,qq1,qq2,t; ang=degtorad(-5)/2; vx=1; vy=0; vz=0; /* t=sqrt(sqr(vx)+sqr(vy)+sqr(vz)); vx=vx/t; vy=vy/t; vz=vz/t; */ t0=cos(ang); t1=vx*sin(ang); t2=vy*sin(ang); t3=vz*sin(ang); multiply_quaternion_right(t0,t1,t2,t3); 0000000[&{ // End 3D mode d3d_end(); } 0000000[I{ d3d_set_hidden(true); // set the projection /* var qq0,qq1,qq2,qq3,vx,vy,vz;//,zx,zy,zz; qq0=q0; qq1=q1; qq2=q2; qq3=q3; multiply_quaternion(q0,q1,q2,q3,0,-1,0,0); multiply_quaternion_right(qq0,-qq1,-qq2,-qq3); vx=q1; vy=q2; vz=q3; multiply_quaternion(qq0,qq1,qq2,qq3,0,0,0,1); multiply_quaternion_right(qq0,-qq1,-qq2,-qq3); zx=q1; zy=q2; zz=q3; q0=qq0; q1=qq1; q2=qq2; q3=qq3; d3d_set_projection(x,y,z, x+vx,y+vy,z+vz, zx,zy,zz); */ d3d_quaternion_set_projection_neg(x,y,z,q0,q1,q2,q3); d3d_quaternion_light_direction_neg(0,q0,q1,q2,q3,c_gray); d3d_light_enable(0,true); // d3d_light_define_direction(0,vx,vy,vz,c_gray); // draw floor and ceiling d3d_set_lighting(true); draw_set_alpha(1); draw_set_color(c_white); d3d_draw_floor(800,0,0,0,600,0,background_get_texture(back_floortex),16,12); d3d_draw_floor(0,0,global.roof,800,600,global.roof,background_get_texture(back_ceilingtex),8,6); // Set the window caption room_caption := 'First Person Shooter (' + string(instance_number(obj_FPS_logo)) + ' logos left)'; } 0000000obj_fps_q_model" cradius14000000czradius000000[(/* * This object would create a model for every instance. * This would be a waste of resources in a game with multiple * instances of the object, in which case we would need a way to * make the model once and share it. * * make_donut_model(radius,radius2,steps,steps2) * * radius is the radius of the torus * radius2 is the radius of the cross-section * so that the total outside radius=radius+radius2 * and the radius of the hole=radius-radius2 * steps=the number of segments round the torus (try 20) * steps2=the number of steps through the hole (try 10) */ modelID[0]=d3d_model_create(); d3d_model_ellipsoid(modelID[0],-14,-14,-14,14,14,14,1,1,24); modeltex[0]=background_get_texture(back_ball); modelID[1]=make_donut_model(9,5,20,10); modeltex[1]=background_get_texture(back_tube); modelID[2]=d3d_model_create(); d3d_model_block(modelID[2],-8,-8,-8,8,8,8,1,1); modeltex[2]=background_get_texture(back_rainbow); modelID[3]=make_dice_model(8); modeltex[3]=background_get_texture(back_dice); model_count=4; model_no=0;0000000[init_quaternion();0000000Y[var ang,vx,vy,vz,t0,t1,t2,t3,qq0,qq1,qq2,t; ang=degtorad(-5)/2; vx=0; vy=0; vz=1; /* t=sqrt(sqr(vx)+sqr(vy)+sqr(vz)); vx=vx/t; vy=vy/t; vz=vz/t; */ t0=cos(ang); t1=vx*sin(ang); t2=vy*sin(ang); t3=vz*sin(ang); multiply_quaternion(t0,t1,t2,t3,q0,q1,q2,q3); 0000000W[var ang,vx,vy,vz,t0,t1,t2,t3,qq0,qq1,qq2,t; ang=degtorad(-5)/2; vx=0; vy=1; vz=0; /* t=sqrt(sqr(vx)+sqr(vy)+sqr(vz)); vx=vx/t; vy=vy/t; vz=vz/t; */ t0=cos(ang); t1=vx*sin(ang); t2=vy*sin(ang); t3=vz*sin(ang); multiply_quaternion_right(t0,t1,t2,t3); 0000000T[var ang,vx,vy,vz,t0,t1,t2,t3,qq0,qq1,qq2,t; ang=degtorad(-5)/2; vx=0; vy=1; vz=0; /* t=sqrt(sqr(vx)+sqr(vy)+sqr(vz)); vx=vx/t; vy=vy/t; vz=vz/t; */ t0=cos(ang); t1=vx*sin(ang); t2=vy*sin(ang); t3=vz*sin(ang); multiply_quaternion(t0,t1,t2,t3,q0,q1,q2,q3); 0000000S[var ang,vx,vy,vz,t0,t1,t2,t3,qq0,qq1,qq2,t; ang=degtorad(5)/2; vx=0; vy=1; vz=0; /* t=sqrt(sqr(vx)+sqr(vy)+sqr(vz)); vx=vx/t; vy=vy/t; vz=vz/t; */ t0=cos(ang); t1=vx*sin(ang); t2=vy*sin(ang); t3=vz*sin(ang); multiply_quaternion_right(t0,t1,t2,t3); 0000000R[var ang,vx,vy,vz,t0,t1,t2,t3,qq0,qq1,qq2,t; ang=degtorad(-5)/2; vx=1; vy=0; vz=0; /* t=sqrt(sqr(vx)+sqr(vy)+sqr(vz)); vx=vx/t; vy=vy/t; vz=vz/t; */ t0=cos(ang); t1=vx*sin(ang); t2=vy*sin(ang); t3=vz*sin(ang); multiply_quaternion(t0,t1,t2,t3,q0,q1,q2,q3); 0000000Q[var ang,vx,vy,vz,t0,t1,t2,t3,qq0,qq1,qq2,t; ang=degtorad(-5)/2; vx=1; vy=0; vz=0; /* t=sqrt(sqr(vx)+sqr(vy)+sqr(vz)); vx=vx/t; vy=vy/t; vz=vz/t; */ t0=cos(ang); t1=vx*sin(ang); t2=vy*sin(ang); t3=vz*sin(ang); multiply_quaternion_right(t0,t1,t2,t3); 0000000H[var ang,vx,vy,vz,t0,t1,t2,t3,qq0,qq1,qq2,t; ang=degtorad(5)/2; vx=0; vy=0; vz=1; /* t=sqrt(sqr(vx)+sqr(vy)+sqr(vz)); vx=vx/t; vy=vy/t; vz=vz/t; */ t0=cos(ang); t1=vx*sin(ang); t2=vy*sin(ang); t3=vz*sin(ang); multiply_quaternion(t0,t1,t2,t3,q0,q1,q2,q3); 0000000G[var ang,vx,vy,vz,t0,t1,t2,t3,qq0,qq1,qq2,t; ang=degtorad(5)/2; vx=0; vy=1; vz=0; /* t=sqrt(sqr(vx)+sqr(vy)+sqr(vz)); vx=vx/t; vy=vy/t; vz=vz/t; */ t0=cos(ang); t1=vx*sin(ang); t2=vy*sin(ang); t3=vz*sin(ang); multiply_quaternion(t0,t1,t2,t3,q0,q1,q2,q3); 0000000F[var ang,vx,vy,vz,t0,t1,t2,t3,qq0,qq1,qq2,t; ang=degtorad(5)/2; vx=1; vy=0; vz=0; /* t=sqrt(sqr(vx)+sqr(vy)+sqr(vz)); vx=vx/t; vy=vy/t; vz=vz/t; */ t0=cos(ang); t1=vx*sin(ang); t2=vy*sin(ang); t3=vz*sin(ang); multiply_quaternion(t0,t1,t2,t3,q0,q1,q2,q3); 0000000E[var ang,vx,vy,vz,t0,t1,t2,t3,qq0,qq1,qq2,t; ang=degtorad(-5)/2; vx=0; vy=0; vz=1; /* t=sqrt(sqr(vx)+sqr(vy)+sqr(vz)); vx=vx/t; vy=vy/t; vz=vz/t; */ t0=cos(ang); t1=vx*sin(ang); t2=vy*sin(ang); t3=vz*sin(ang); multiply_quaternion_right(t0,t1,t2,t3); 0000000D[var ang,vx,vy,vz,t0,t1,t2,t3,qq0,qq1,qq2,t; ang=degtorad(5)/2; vx=0; vy=0; vz=1; /* t=sqrt(sqr(vx)+sqr(vy)+sqr(vz)); vx=vx/t; vy=vy/t; vz=vz/t; */ t0=cos(ang); t1=vx*sin(ang); t2=vy*sin(ang); t3=vz*sin(ang); multiply_quaternion_right(t0,t1,t2,t3); 0000000A[ var ang,vx,vy,vz,t0,t1,t2,t3,qq0,qq1,qq2,t; ang=degtorad(5)/2; vx=1; vy=0; vz=0; /* t=sqrt(sqr(vx)+sqr(vy)+sqr(vz)); vx=vx/t; vy=vy/t; vz=vz/t; */ t0=cos(ang); t1=vx*sin(ang); t2=vy*sin(ang); t3=vz*sin(ang); multiply_quaternion_right(t0,t1,t2,t3); 0000000[Ovar a; for (a=0;a=model_count then model_no=0; 0000000 [init_quaternion();0000000obj_FPS_fix_cam  [ { d3d_start(); d3d_set_fog(false,c_gray,0,400); d3d_set_lighting(true); d3d_set_culling(true); d3d_light_define_direction(0,1,1,1,c_dkgray); d3d_light_enable(0,true); d3d_light_define_direction(1,-1,1,-1,c_white); d3d_light_enable(1,true); }0000000[Pmass = 1; radius = 8; global.roof=64; facing=0; z=radius; zspeed=0; 0000000[&{ // End 3D mode d3d_end(); } 0000000[ { d3d_set_hidden(true); // set the projection d3d_set_projection(x,y,z+radius, x+cos(facing*pi/180),y-sin(facing*pi/180),z+radius, 0,0,1); d3d_light_define_direction(0,cos(facing*pi/180),-sin(facing*pi/180),0,c_gray); // draw floor and ceiling d3d_set_lighting(true); draw_set_alpha(1); draw_set_color(c_white); d3d_draw_floor(800,0,0,0,600,0,background_get_texture(back_floortex),16,12); d3d_draw_floor(0,0,global.roof,800,600,global.roof,background_get_texture(back_ceilingtex),8,6); }0000000room_FPS Rotation demo        @@:Չ @``0@1 2 ˉ@̉`͉pΉpωpЉpщ`p҉@pӉ pԉ@9؉` -themessage='Torus/Donut model generator and Quaternion Rotation demo.#Keys Q-A, W-S, E-D rotate the object in its own frame e.g. Roll, Pitch, Yaw#Keys R-F,T-G,Y-H rotate the object around the rooms X,Y,Z axes#space toggles model, Enter resets orientation';؉XDemo InformationX{\rtf1\ansi\ansicpg1252\deff0\deflang1033{\fonttbl{\f0\fnil\fcharset0 Arial;}} {\colortbl ;\red255\green0\blue0;\red0\green0\blue0;} \viewkind4\uc1\pard\cf1\fs48 Rotating a model demo \par \cf2\fs24 \par Basic FPS code by Mark Overmars. \par \par Quaternion math and almost-Newtonian rebounds by Oliver Broad. \par \par This program uses the code of the registered features demo as a template, as I wasn't sure I could get 3D working from scratch. \par \par \par }  SpritesFPSspr_FPS_horwall spr_FPS_vertwall spr_FPS_camera spr_FPS_logospr_FPS_bulletspr_FPS_pillar" spr_FPS_ballSounds Backgrounds back_rainbow back_floortex back_ceilingtex back_ball back_tube back_dicePathsScripts scr_draw_messageadd_rotation_quaternion_cadd_rotation_quaternion_b rebound_3d3 rebound_weak* rebound_2d1hit_wall_slideZmake_dice_modelYmake_donut_model quaternionsD$quaternion_documentation_placeholderE!d3d_quaternion_set_projection_negVd3d_quaternion_set_projectionT%d3d_quaternion_set_projection_neg_extW!d3d_quaternion_set_projection_extF"d3d_quaternion_light_direction_negUd3d_quaternion_light_directionHd3d_add_rotation_quaternionXd3d_set_rotation_quaternionGquaternion_ball_roll_simpleIinit_quaternionJinit_quaternion_randomKnormalise_quaternionLquaternion_fly_rollMquaternion_fly_pitchNquaternion_fly_yawOquaternion_rotate_vectorPsincQmultiply_quaternionRmultiply_quaternion_leftSmultiply_quaternion_right Fonts fnt_message Time LinesObjectsobj_message_3DFPS:obj_FPS_fix_cam2 obj_FPS_q_camobj_FPS_horwallobj_FPS_vertwall9obj_fps_q_modelRooms room_FPS Game Information Global Game Settings