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Bourg D. — Physics for Game Developers
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Íàçâàíèå: Physics for Game DevelopersÀâòîð: Bourg D. Àííîòàöèÿ: It seems to me that when you're confronted with a book title like Physics for Game Developers, you see an undercurrent of "rocks for jocks" in that. It implies that this is physics for folks who never glommed onto physics. As someone who never got above a C in any science class after Biology I in tenth grade, then, it would seem to be right up my alley. Not so. The first five chapters of the book will kill you if you're not familiar with various forms of scientific notation. (Know your Greek letters!) It doesn't help that Bourg has overloaded a few common operators for his own means (for example, he uses * for dot product and ^ for conjunction, when coders will be used to seeing those to symbols used for multiplication and exponentiation respectively). That said, however, once you get past the first five "refresher" chapters, the book picks up a good deal. There's code! And once Bourg is describing what code does, rather than attempting to impart more abstract (well, okay, "abstract" is not the right word, but hopefully you know what I'm getting at), his language becomes a great deal clearer, at least to those of us who think in code rather than physics. Worth picking up if you're in the market for this sort of book, but you might want to pick up a copy of Physics for Dummies to help you through the first part. ***
ßçûê: Ðóáðèêà: Computer science /Ñòàòóñ ïðåäìåòíîãî óêàçàòåëÿ: Ãîòîâ óêàçàòåëü ñ íîìåðàìè ñòðàíèö ed2k: ed2k stats Ãîä èçäàíèÿ: 2001Êîëè÷åñòâî ñòðàíèö: 350Äîáàâëåíà â êàòàëîã: 20.02.2014Îïåðàöèè: Ïîëîæèòü íà ïîëêó |
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Ïðåäìåòíûé óêàçàòåëü
Kinematics, local coordinate axes 49—50 Kinematics, nonconstant acceleration 30—31 Kinematics, particle explosion 43—48 Kinematics, rigid body 49 Kinematics, velocity and acceleration 25—28 Kinetic energy, collision impact and 89 Kinetic energy, concepts 89 Kinetics 69—86 Kinetics, 2D particle 70—75 Kinetics, 3D particle 75—82 Kinetics, problem solving guidelines 70 Kinetics, rigid body 82—86 Kutta — Joukouiski theorem 115 125 Length, units and symbol for 4 Lift force 114—118 Lift force, equation for 116 Lift force, in aircraft 124—125 Linear acceleration 4 Linear collision response, simulation 206—211 Linear collision response, simulation, check for collision 207 Linear collision response, simulation, collision impulse 209—210 Linear collision response, simulation, determination of collision 206—208 Linear impulse 88 Linear impulse in collisions 95—96 209—210 Linear momentum, in law of motion 16 Linear motion, defined 5 Linear velocity 4 Magnitude in quaternion operations 304 Magnitude in vector operations 286—287 Magnus effect 114—119 MakeEulerAnglesFromQ, in quaternion operations 311—312 MakeQFromEulerAngles, in quaternion operations 309—310 Mass moment of inertia, 2D example 13—15 Mass moment of inertia, calculation of 8—11 Mass moment of inertia, defined 6 Mass moment of inertia, units and symbol for 4 Mass properties 5—14 Mass, 2D example 12—13 Mass, calculation of 6—8 Mass, defined 6 Mass, units and symbol for 4 Mass, variable, projectiles of 118—120 Mass, virtual, of a ship 161—162 Matrix addition 298—300 Matrix functions and operators 300—302 Matrix multiplication 301 Matrix operations 295—302 Matrix operations, matrix functions and operators 300—302 Matrix operations, matrix functions and operators, matrix addition 300 Matrix operations, matrix functions and operators, matrix multiplication 301 Matrix operations, matrix functions and operators, matrix substraction 300 Matrix operations, matrix functions and operators, scalar division 300 Matrix operations, matrix functions and operators, scalar multiplication 301 Matrix operations, matrix functions and operators, vector multiplication 302 Matrix operations, matrix3x3 class 224 295—299 Matrix operations, matrix3x3 class, determinant 296—297 Matrix operations, matrix3x3 class, inverse 297—298 Matrix operations, matrix3x3 class, matrix addition 298—299 Matrix operations, matrix3x3 class, matrix subtraction 299 Matrix operations, matrix3x3 class, scalar division 299 Matrix operations, matrix3x3 class, scalar multiplication 299 Matrix operations, matrix3x3 class, transpose 297 Matrix subtraction 299—300 Matrix3x3 class 224 295—299 Measures and units 2—4 Metacenter, in ship flotation 148 Model(s) of multiple bodies in 3D 250—264 Model(s) of particle systems 272—281 Model(s), 2D rigid body simulation 185—191 Model(s), 3D rigid body simulation 231—235 Model(s), aircraft flight 132—145 231—235 Modeling, aircraft flight 132—145 231—235 Modeling, aircraft flight, fluid dynamic drag 133—134 Modeling, aircraft flight, lift 133—134 Modeling, aircraft flight, sample code 135—143 Modeling, aircraft flight, sample program 134 Modeling, aircraft flight, steps in 132 Modeling, steps in 132 moment see "Torque" Multiple bodies in 3D, simulation 249—270 Multiple bodies in 3D, simulation, collision response 266—269 Multiple bodies in 3D, simulation, integration 264—265 Multiple bodies in 3D, simulation, model 250—264 Multiple bodies in 3D, simulation, model, contact 258—264 Multiple bodies in 3D, simulation, model, forces and moments 256—258 Multiple bodies in 3D, simulation, model, initialization 250—256 Multiple bodies in 3D, simulation, steps in 249 Multiple bodies in 3D, simulation, tuning of 269—270 Newton's Law of conservation of momentum 89 Newton's law of gravitation 58—59 Newton's Law, first 1 Newton's Law, second (motion) 1—2 15—19 69 Newton's Law, third 1 Nonconstant acceleration 30—31 Normalize, in vector operations 287—288 Parallelepiped, volume of 151—152 Particle explosion, kinematic 43—48 see Particle systems 271—284 Particle systems, collision response 282—283 Particle systems, integradon 281—282 Particle systems, model 272—281 Particle systems, model, initialization 274—281 Particle systems, model, particle-spring system 272—274 Particle systems, tuning 283—284 Particles, collisions between 95—96 Particles, concepts 25 Penalty methods 88 Pitch angles 124 223 Plastic collisions 90 Plenum chamber 163 Pressure, force and 62 Pressure, units and symbol for 4 Products of inertia 20—21 Projectiles 101—120 Projectiles, characteristics of 102 Projectiles, drag and 106—114 Projectiles, magnus effect 114—119 Projectiles, simple trajectories 102—106 Projectiles, simple trajectories, launch point lower 104 Projectiles, simple trajectories, projectile is dropped 105—106 Projectiles, simple trajectories, target and launch at same level 103—104 Projectiles, simple trajectories, target point lower 104—105 Projectiles, terminal velocity 112—113 Projectiles, variable mass 118—120 see QGetAngle, in quaternion operations 308 QGetAxis, in quaternion operations 309 QRotate, in quaternion operations 309 Quaternion addition 304—306 Quaternion class 303—306 Quaternion functions and operators 306—312 Quaternion multiplication 307 Quaternion operations 303—312 Quaternion operations for rigid body rotation 227—229 Quaternion operations, quaternion class 303—306 Quaternion operations, quaternion class, conjugate 306 Quaternion operations, quaternion class, GetScalar 304 Quaternion operations, quaternion class, GetVecror 304 Quaternion operations, quaternion class, magnitude 304 Quaternion operations, quaternion class, quaternion addition 304—305 Quaternion operations, quaternion class, quaternion substracdon 305 Quaternion operations, quaternion class, scalar division 306 Quaternion operations, quaternion class, scalar multiplication 305 Quaternion operations, quaternion functions and operators 306—312 Quaternion operations, quaternion functions and operators, conversion functions 312 Quaternion operations, quaternion functions and operators, MakeEulerAnglesFromQ 311—312 Quaternion operations, quaternion functions and operators, MakeQFromEulerAngles 309—310 Quaternion operations, quaternion functions and operators, QGetAngle 308 Quaternion operations, quaternion functions and operators, QGetAxis 309 Quaternion operations, quaternion functions and operators, QRotate 309 Quaternion operations, quaternion functions and operators, quaternion addition 306 Quaternion operations, quaternion functions and operators, quaternion multiplication 307 Quaternion operations, quaternion functions and operators, quaternion substraction 307 Quaternion operations, quaternion functions and operators, QVRotate 309 Quaternion operations, quaternion functions and operators, scalar division 308 Quaternion operations, quaternion functions and operators, scalar multiplication 307—308 Quaternion operations, quaternion functions and operators, vector multiplication 308 Quaternion substraction 305 307 QVRotate, in quaternion operations 309 Real-time simulations 172—183 Real-time simulations, concepts 172 Real-time simulations, equations of motion and 173—174 Real-time simulations, Euler's method 174—180 Real-time simulations, improved Euler method for 180—183 Real-time simulations, Runge — Kutta method for 181—182 Real-time simulations, Taylor's theorem in 174—175 180—182 Relative acceleration 55—56 Relative velocity 55 Rendering for 2D rigid body simulation 198—204 Rendering for 3D rigid body simulation 242—248 Resistance in cars 168—169 Resistance in hovercraft 165—167 Resistance in ships 159—161 Resistance, equation for 71 Resistance, rolling 168—169 Restitution, coefficient of 90 Reverse, in vector operations 288 Reynold's number 109—110 Rigid body rotation 223—229 Rigid body rotation in 2D 223 Rigid body rotation in 3D 223 Rigid body rotation, quaternions 227—229 Rigid body rotation, rotation matrices 224—227 Rigid body(ies), circular path of particles making up a 51 Rigid body(ies), collisions of 96—98 Rigid body(ies), concepts 25 Rigid body(ies), kinematics of 49 Rigid body(ies), kinetics of 82—86 Rigid body(ies), multiple, in 3D 249—270 see Robins effect 114—118 Roll angles 124 223 Rolling resistance 168—169 Rolling resistance, coefficient of 169 Rotation matrices 224—227 see Rudders, in aircraft 131 Runge — Kutta method, for real-time simulations 181—182 Scalar division in matrix operations 299—300 Scalar division in quaternion operations 306 308 Scalar division in vector operations 290 294 Scalar multiplication in matrix operations 299 301 Scalar multiplication in quaternion operations 305 307—308 Scalar multiplication in vector operations 290 293 Scalar product, triple, in vector operations 294 Scalars 5 Ships 146—162 Ships, 2D particle kinetics example 71 Ships, displacement and 146 Ships, flotation 147—149 Ships, geometry of 146 147 Ships, resistance 159—161 Ships, virtual mass 161—162 Ships, volume 149—158 Shooting game, 2D particle kinematics example 32—33 Shooting game, 3D particle kinematics example 33—43 Shooting game, 3D particle kinematics example, sample code 39—43 Shooting game, 3D particle kinematics example, sample program 37—38 Shooting game, 3D particle kinetics example 71—82 Shooting game, 3D particle kinetics example, program screen 80 Shooting game, 3D particle kinetics example, sample code 79—82 see Simulation(s), 2D rigid body 184—204 Simulation(s), 3D rigid body 230—248 Simulation(s), cloth 271—284 Simulation(s), linear collision response 206—211 Simulation(s), multiple bodies in 3D 249—270 Simulation(s), particle systems 271—284 Simulation(s), real-time 172—183 Simulation(s), rigid body rotation 223—229 Simulation(s), tuning 269—270 Skidding distance 170 Speed, calculation of 26 Speed, defined 26 Springs, defined 64 Springs, equation for 64 Springs, uses for 65 Stopping distance, in cars 170 Tangential acceleration 52—53 Tangential acceleration, equation for 54 Taylor's theorem, in real-time simulations 174—175 180—182 Tensors, concepts 18 Tensors, inertia 19—24 terminal velocity 112—113 Tetrahedron, volume of 150—152 Thrust, in aircraft 129 143 Time, units and symbol for 4 Torque in 3D rigid body kinetics 83 Torque, calculation of 65—67 Torque, defined 65 Torque, force and 65—68 Torque, impulse 88 Torque, units and symbol for 4 Transpose, in matrix operations 297 Triangulated polyhedron, simple 150 Triple scalar product, in vector operations 294 Truncation error 175 Truncation error, sample code for checking 179—180 Turbulent wake 108—109 Uniform density, defined 83 Units and measures 2—4 Units, derived 2 Universal constant 58 Vector addition 289 291 vector class 285—291 Vector cross product 54 291—292 Vector direction cosines 35 Vector dot product 292—293 Vector functions and operators 291—294 Vector multiplication in matrix operations 302 Vector multiplication in quaternion operations 308 Vector operations 285—294 Vector operations, vector class 285—291 Vector operations, vector class, conjugate 290—291 Vector operations, vector class, magnitude 286—287 Vector operations, vector class, normalize 287—288 Vector operations, vector class, reverse 288 Vector operations, vector class, scalar division 290 Vector operations, vector class, scalar multiplication 290 Vector operations, vector class, vector addition 289 Vector operations, vector class, vector substraction 289—290 Vector operations, vector functions and operators 291—294 Vector operations, vector functions and operators, scalar division 294 Vector operations, vector functions and operators, scalar multiplication 293 Vector operations, vector functions and operators, triple scalar product 294 Vector operations, vector functions and operators, vector addition 291 Vector operations, vector functions and operators, vector cross product 291—292 Vector operations, vector functions and operators, vector dot product 292—293 Vector operations, vector functions and operators, vector substraction 291 Vector substraction 289—291 Vectors 5 Velocity, acceleration and 25—28 Velocity, angular 50—56 86 Velocity, equations for 73 Velocity, instantaneous 27 28 Velocity, magnitude of 26 Velocity, relative 55 Velocity, terminal 112—113 Velocity, units and symbol for, angular 4 Velocity, units and symbol for, linear 4 Virtual mass, of a ship 161—162 Viscosity, units and symbol for 4 volume of a cube 149—150 Volume of a ship 149—158
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