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### Z: Transformations

posted Apr 7, 2012, 1:27 AM by Neil Mathew   [ updated Apr 7, 2012, 3:23 AM ]
 All the programs follow a basic layout, except for the transformation.And the only change in the transformation is the matrix and it's input variables.One thing that bothered me is the order since ma'am taught us formulas using Column Major.However, for shapes with sides greater than the number 3, one tends to get confused with the order.However, to avoid getting confused, I've used Row Major and changed the order but retained the formulas as given in the notebook. ALL ROUND PROGRAM:```1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 #include #include #include   #include //for rotate   /* Every Such Program are divided into these parts (Functions):   1. Common Variables = P P2 n T , Tx or Sx or Angle = GLOBAL   2. Input the Required Values = INPUT()   [ Changing from Translation Scaling, etc EDIT only 1, 2 ]   3. Transform = change()   4. Draw the Lines Before and After Transformation = Draw()   5. Matrix Show  = ShowM() ShowT()                (IMPORTANT B/C you find your mistakes here.)                 MATRICES. MAKE SURE ALL YOUR CELLS ARE FILLED!!!!     ------Extras:   >>ROTATION requires matrices & angle TO BE DOUBLE (floating type)                 others can be int. (exc Reflect which depends on Rotate.   >>ROTATION requires conversion of inputted DEGREE to RADIAN                 180 deg = pi rad                 1 deg = pi / 180 * 1 rad                 x deg = pi / 180 * x rad   >>ROTATION requires Math.h headerfile   >> If Ma'am asks you to do multiple transformations.         Add the extra bits of INPUT into Change()         and duplicate Change to its types */   double P[3][10], P2[3][10], n, T[3][3];   int Tx,  Ty; //For Translation int Sx,  Sy; //For Scaling double angle;   //For Rotation double m,b; int Fx, Fy; //Fixed point     void INPUT() { cout<<"\n Enter no of sides of Shape: "; cin>>n;                //i for each point cout<<"\n Enter the coordinates of Triangle"; for(int i=0; i>Tx>>Ty;   T[0][0]=1; T[0][1]=0; T[0][2]=Tx; T[1][0]=0; T[1][1]=1; T[1][2]=Ty; T[2][0]=0; T[2][1]=0; T[2][2]=1; */         /*SCALING cout<<"\n To Scale:"; cout<<"\n Enter Sx Sy "; cin>>Sx>>Sy;   T[0][0]=Sx; T[0][1]=0; T[0][2]=0; T[1][0]=0; T[1][1]=Sy; T[1][2]=0; T[2][0]=0; T[2][1]=0; T[2][2]=1; */             /*ROTATION cout<<"\n To Rotate:"; cout<<"\n Enter angle: "; cin>>angle;   //<<<<<<<<<<<<<>m>>b;   cout<<( cos( angle ) );   T[0][0]=(1-m*m)/(1+m*m); T[0][1]= 2*m/ (1+m*m);         T[0][2]= - (2*m*b)/(1+m*m); T[1][0]=2*m/(1+m*m);     T[1][1]= (m*m-1)/(1+m*m);      T[1][2]= (2*b)/(1+m*m); T[2][0]=0;               T[2][1]= 0;                    T[2][2]= 1;     /*^^^^^^^^^^^^^^^^^^^^^^^^^ WRT POINT   cout<<"\n Enter the fixed points: (x,y)"; cin>>Fx>>Fy; */         /*SCALING wrt POINT cout<<"\n To Scale:"; cout<<"\n Enter Sx Sy "; cin>>Sx>>Sy;   T[0][0]=Sx; T[0][1]=0; T[0][2]=-Fx*Sx + Fx; T[1][0]=0; T[1][1]=Sy; T[1][2]=-Fy*Sy + Fy; T[2][0]=0; T[2][1]=0; T[2][2]=1; */               /*ROTATION wrt POINT cout<<"\n To Rotate:"; cout<<"\n Enter angle: "; cin>>angle;   //<<<<<<<<<<<<<