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📄 b3soipdld.c

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		      dn_dVd = dT4_dVd;		  }		  else		   /* avoid  discontinuity problems caused by T4 */ 		  {   T0 = 1.0 / (3.0 + 8.0 * T4);		      n = (1.0 + 3.0 * T4) * T0;		      T0 *= T0;		      dn_dVb = T0 * dT4_dVb;		      dn_dVd = T0 * dT4_dVd;		  }/* Effective Vgst (Vgsteff) Calculation */		  Vgst = Vgs_eff - Vth;                  dVgst_dVg = dVgs_eff_dVg;                  dVgst_dVd = -dVth_dVd;                  dVgst_dVb = -dVth_dVb;		  T10 = 2.0 * n * Vtm;		  VgstNVt = Vgst / T10;		  ExpArg = (2.0 * pParam->B3SOIPDvoff - Vgst) / T10;		  /* MCJ: Very small Vgst */		  if (VgstNVt > EXPL_THRESHOLD)		  {   Vgsteff = Vgst;                      /* T0 is dVgsteff_dVbseff */                      T0 = -dVth_dVb;		      dVgsteff_dVg = dVgs_eff_dVg;		      dVgsteff_dVd = -dVth_dVd;		      dVgsteff_dVb = T0 * dVbseff_dVb;                      if (selfheat)                         dVgsteff_dT  = -dVth_dT;                      else                         dVgsteff_dT = 0.0;		  }		  else if (ExpArg > EXPL_THRESHOLD)		  {   T0 = (Vgst - pParam->B3SOIPDvoff) / (n * Vtm);		      ExpVgst = exp(T0);		      Vgsteff = Vtm * pParam->B3SOIPDcdep0 / model->B3SOIPDcox * ExpVgst;		      T3 = Vgsteff / (n * Vtm) ;                      /* T1 is dVgsteff_dVbseff */		      T1  = -T3 * (dVth_dVb + T0 * Vtm * dn_dVb);		      dVgsteff_dVg = T3 * dVgs_eff_dVg;		      dVgsteff_dVd = -T3 * (dVth_dVd + T0 * Vtm * dn_dVd);                      dVgsteff_dVb = T1 * dVbseff_dVb;                      if (selfheat)                         dVgsteff_dT = -T3 * (dVth_dT + T0 * dVtm_dT * n)                                     + Vgsteff / Temp;                      else                         dVgsteff_dT = 0.0;		  }		  else		  {   ExpVgst = exp(VgstNVt);		      T1 = T10 * log(1.0 + ExpVgst);		      dT1_dVg = ExpVgst / (1.0 + ExpVgst);		      dT1_dVb = -dT1_dVg * (dVth_dVb + Vgst / n * dn_dVb)			      + T1 / n * dn_dVb; 		      dT1_dVd = -dT1_dVg * (dVth_dVd + Vgst / n * dn_dVd)			      + T1 / n * dn_dVd;                      T3 = (1.0 / Temp);                      if (selfheat)                         dT1_dT = -dT1_dVg * (dVth_dT + Vgst * T3) + T1 * T3;                      else                         dT1_dT = 0.0;		      dT2_dVg = -model->B3SOIPDcox / (Vtm * pParam->B3SOIPDcdep0)			      * exp(ExpArg);		      T2 = 1.0 - T10 * dT2_dVg;		      dT2_dVd = -dT2_dVg * (dVth_dVd - 2.0 * Vtm * ExpArg * dn_dVd)			      + (T2 - 1.0) / n * dn_dVd;		      dT2_dVb = -dT2_dVg * (dVth_dVb - 2.0 * Vtm * ExpArg * dn_dVb)			      + (T2 - 1.0) / n * dn_dVb;                      if (selfheat)                         dT2_dT = -dT2_dVg * (dVth_dT - ExpArg * T10 * T3);                      else                         dT2_dT = 0.0;		      Vgsteff = T1 / T2;		      T3 = T2 * T2;                      /*  T4 is dVgsteff_dVbseff  */		      T4 = (T2 * dT1_dVb - T1 * dT2_dVb) / T3;                      dVgsteff_dVb = T4 * dVbseff_dVb;		      dVgsteff_dVg = (T2 * dT1_dVg - T1 * dT2_dVg) / T3 * dVgs_eff_dVg;		      dVgsteff_dVd = (T2 * dT1_dVd - T1 * dT2_dVd) / T3;                      if (selfheat)                         dVgsteff_dT = (T2 * dT1_dT - T1 * dT2_dT) / T3;                      else                         dVgsteff_dT = 0.0;		  }		  Vgst2Vtm = Vgsteff + 2.0 * Vtm;                  if (selfheat)  dVgst2Vtm_dT = 2.0 * dVtm_dT;                    else  dVgst2Vtm_dT = 0.0;		  here->B3SOIPDVgsteff = Vgsteff; /* v2.2.3 bug fix *//* Calculate Effective Channel Geometry */		  T9 = sqrtPhis - sqrtPhi;		  Weff = pParam->B3SOIPDweff - (2.0 - here->B3SOIPDnbc) * (pParam->B3SOIPDdwg * Vgsteff 		       + pParam->B3SOIPDdwb * T9); 		  dWeff_dVg = -(2.0 - here->B3SOIPDnbc) * pParam->B3SOIPDdwg;		  dWeff_dVb = -(2.0 - here->B3SOIPDnbc) * pParam->B3SOIPDdwb * dsqrtPhis_dVb;		  if (Weff < 2.0e-8) /* to avoid the discontinuity problem due to Weff*/		  {   T0 = 1.0 / (6.0e-8 - 2.0 * Weff);		      Weff = 2.0e-8 * (4.0e-8 - Weff) * T0;		      T0 *= T0 * 4.0e-16;		      dWeff_dVg *= T0;		      dWeff_dVb *= T0;		  }		  T0 = pParam->B3SOIPDprwg * Vgsteff + pParam->B3SOIPDprwb * T9;		  if (T0 >= -0.9)		  {   Rds = rds0 * (1.0 + T0);		      dRds_dVg = rds0 * pParam->B3SOIPDprwg;		      dRds_dVb = rds0 * pParam->B3SOIPDprwb * dsqrtPhis_dVb;                      if (selfheat && (Rds!=0.0))  dRds_dT = (1.0 + T0) * drds0_dT;                      else  dRds_dT = 0.0;		  }		  else		   /* to avoid the discontinuity problem due to prwg and prwb*/		  {   T1 = 1.0 / (17.0 + 20.0 * T0);		      Rds = rds0 * (0.8 + T0) * T1;		      T1 *= T1;		      dRds_dVg = rds0 * pParam->B3SOIPDprwg * T1;		      dRds_dVb = rds0 * pParam->B3SOIPDprwb * dsqrtPhis_dVb			       * T1;                      if (selfheat && (Rds!=0.0))  dRds_dT = (0.8 + T0) * T1 * drds0_dT;                      else  dRds_dT = 0.0;		  }		  here->B3SOIPDrds = Rds; /* v2.2.3 bug fix *//* Calculate Abulk */                  if (pParam->B3SOIPDa0 == 0.0) {                     Abulk0 = Abulk = 1.0;                     dAbulk0_dVb = dAbulk_dVg = dAbulk_dVb = 0.0;                  }                  else {                      T10 = pParam->B3SOIPDketa * Vbsh;                      if (T10 >= -0.9) {                        T11 = 1.0 / (1.0 + T10);                        dT11_dVb = -pParam->B3SOIPDketa * T11 * T11 * dVbsh_dVb;                     }                     else { /* added to avoid the problems caused by Keta */                        T12 = 1.0 / (0.8 + T10);                        T11 = (17.0 + 20.0 * T10) * T12;                        dT11_dVb = -pParam->B3SOIPDketa * T12 * T12 * dVbsh_dVb;                     }                     T10 = pParam->B3SOIPDphi + pParam->B3SOIPDketas;                     T13 = (Vbsh * T11) / T10;                     dT13_dVb = (Vbsh * dT11_dVb + T11 * dVbsh_dVb) / T10;                     /* limit 1/sqrt(1-T13) to 6, starting at T13=0.96 */                     if (T13 < 0.96) {                        T14 = 1 / sqrt(1-T13);                        T10 = 0.5 * T14 / (1-T13);                        dT14_dVb = T10 * dT13_dVb;                     }                     else {                        T11 = 1.0 / (1.0 - 1.043406*T13);                        T14 = (6.00167 - 6.26044 * T13) * T11;                        T10 = 0.001742 * T11 * T11;                        dT14_dVb = T10 * dT13_dVb;                     }                     T10 = 0.5 * pParam->B3SOIPDk1eff                          / sqrt(pParam->B3SOIPDphi + pParam->B3SOIPDketas);                     T1 = T10 * T14;                     dT1_dVb = T10 * dT14_dVb;                     T9 = sqrt(model->B3SOIPDxj * Xdep);                     tmp1 = Leff + 2.0 * T9;                     T5 = Leff / tmp1;                     tmp2 = pParam->B3SOIPDa0 * T5;                     tmp3 = pParam->B3SOIPDweff + pParam->B3SOIPDb1;                     tmp4 = pParam->B3SOIPDb0 / tmp3;                     T2 = tmp2 + tmp4;                     dT2_dVb = -T9 * tmp2 / tmp1 / Xdep * dXdep_dVb;                     T6 = T5 * T5;                     T7 = T5 * T6;                      Abulk0 = 1 + T1 * T2;                     dAbulk0_dVb = T1 * dT2_dVb + T2 * dT1_dVb;                      T8 = pParam->B3SOIPDags * pParam->B3SOIPDa0 * T7;                     dAbulk_dVg = -T1 * T8;                     Abulk = Abulk0 + dAbulk_dVg * Vgsteff;                      dAbulk_dVb = dAbulk0_dVb                                 - T8 * Vgsteff * (dT1_dVb + 3.0 * T1 * dT2_dVb / tmp2);                  }                  if (Abulk0 < 0.01)                  {                     T9 = 1.0 / (3.0 - 200.0 * Abulk0);                     Abulk0 = (0.02 - Abulk0) * T9;                     dAbulk0_dVb *= T9 * T9;                  }                  if (Abulk < 0.01)                  {                     T9 = 1.0 / (3.0 - 200.0 * Abulk);                     Abulk = (0.02 - Abulk) * T9;                     dAbulk_dVb *= T9 * T9;                  }/* Mobility calculation */		  if (model->B3SOIPDmobMod == 1)		  {   T0 = Vgsteff + Vth + Vth;		      T2 = ua + uc * Vbseff;		      T3 = T0 / model->B3SOIPDtox;		      T5 = T3 * (T2 + ub * T3);		      dDenomi_dVg = (T2 + 2.0 * ub * T3) / model->B3SOIPDtox;		      dDenomi_dVd = dDenomi_dVg * 2 * dVth_dVd;		      dDenomi_dVb = dDenomi_dVg * 2 * dVth_dVb + uc * T3 ;                      if (selfheat)                         dDenomi_dT = dDenomi_dVg * 2 * dVth_dT                                     + (dua_dT + Vbseff * duc_dT                                    + dub_dT * T3 ) * T3;                      else                         dDenomi_dT = 0.0;		  }		  else if (model->B3SOIPDmobMod == 2)		  {   T5 = Vgsteff / model->B3SOIPDtox * (ua			 + uc * Vbseff + ub * Vgsteff			 / model->B3SOIPDtox);		      dDenomi_dVg = (ua + uc * Vbseff				  + 2.0 * ub * Vgsteff / model->B3SOIPDtox)				  / model->B3SOIPDtox;		      dDenomi_dVd = 0.0;		      dDenomi_dVb = Vgsteff * uc / model->B3SOIPDtox ;                      if (selfheat)                         dDenomi_dT = Vgsteff / model->B3SOIPDtox                                    * (dua_dT + Vbseff * duc_dT + dub_dT                                    * Vgsteff / model->B3SOIPDtox);                      else                         dDenomi_dT = 0.0;		  }		  else  /*  mobMod == 3  */		  {   T0 = Vgsteff + Vth + Vth;		      T2 = 1.0 + uc * Vbseff;		      T3 = T0 / model->B3SOIPDtox;		      T4 = T3 * (ua + ub * T3);		      T5 = T4 * T2;		      dDenomi_dVg = (ua + 2.0 * ub * T3) * T2				  / model->B3SOIPDtox;		      dDenomi_dVd = dDenomi_dVg * 2.0 * dVth_dVd;		      dDenomi_dVb = dDenomi_dVg * 2.0 * dVth_dVb 				  + uc * T4 ;                      if (selfheat)                         dDenomi_dT = dDenomi_dVg * 2.0 * dVth_dT                                    + (dua_dT + dub_dT * T3) * T3 * T2                                    + T4 * Vbseff * duc_dT;                      else                         dDenomi_dT = 0.0;		  }		  if (T5 >= -0.8)		  {   Denomi = 1.0 + T5;		  }		  else /* Added to avoid the discontinuity problem caused by ua and ub*/ 		  {   T9 = 1.0 / (7.0 + 10.0 * T5);		      Denomi = (0.6 + T5) * T9;		      T9 *= T9;		      dDenomi_dVg *= T9;		      dDenomi_dVd *= T9;		      dDenomi_dVb *= T9;                      if (selfheat)  dDenomi_dT *= T9;                      else   dDenomi_dT = 0.0;		  }		  here->B3SOIPDueff = ueff = u0temp / Denomi;		  T9 = -ueff / Denomi;		  dueff_dVg = T9 * dDenomi_dVg;		  dueff_dVd = T9 * dDenomi_dVd;		  dueff_dVb = T9 * dDenomi_dVb;                  if (selfheat)  dueff_dT = T9 * dDenomi_dT + du0temp_dT / Denomi;                  else  dueff_dT = 0.0;/* Saturation Drain Voltage  Vdsat */		  WVCox = Weff * vsattemp * model->B3SOIPDcox;		  WVCoxRds = WVCox * Rds; /*                  dWVCoxRds_dT = WVCox * dRds_dT                                 + Weff * model->B3SOIPDcox * Rds * dvsattemp_dT; */		  Esat = 2.0 * vsattemp / ueff;		  EsatL = Esat * Leff;		  T0 = -EsatL /ueff;		  dEsatL_dVg = T0 * dueff_dVg;		  dEsatL_dVd = T0 * dueff_dVd;		  dEsatL_dVb = T0 * dueff_dVb;                  if (selfheat)                     dEsatL_dT = T0 * dueff_dT + EsatL / vsattemp * dvsattemp_dT;                  else                     dEsatL_dT = 0.0;	  		  /* Sqrt() */		  a1 = pParam->B3SOIPDa1;		  if (a1 == 0.0)		  {   Lambda = pParam->B3SOIPDa2;		      dLambda_dVg = 0.0;		  }		  else if (a1 > 0.0)/* Added to avoid the discontinuity problem caused by a1 and a2 (Lambda) */		  {   T0 = 1.0 - pParam->B3SOIPDa2;		      T1 = T0 - pParam->B3SOIPDa1 * Vgsteff - 0.0001;		      T2 = sqrt(T1 * T1 + 0.0004 * T0);		      Lambda = pParam->B3SOIPDa2 + T0 - 0.5 * (T1 + T2);		      dLambda_dVg = 0.5 * pParam->B3SOIPDa1 * (1.0 + T1 / T2);		  }		  else		  {   T1 = pParam->B3SOIPDa2 + pParam->B3SOIPDa1 * Vgsteff - 0.0001;		      T2 = sqrt(T1 * T1 + 0.0004 * pParam->B3SOIPDa2);		      Lambda = 0.5 * (T1 + T2);		      dLambda_dVg = 0.5 * pParam->B3SOIPDa1 * (1.0 + T1 / T2);		  }		  here->B3SOIPDAbovVgst2Vtm = Abulk /Vgst2Vtm; /* v2.2.3 bug fix */		  if (Rds > 0)		  {   tmp2 = dRds_dVg / Rds + dWeff_dVg / Weff;		      tmp3 = dRds_dVb / Rds + dWeff_dVb / Weff;		  }		  else		  {   tmp2 = dWeff_dVg / Weff;		      tmp3 = dWeff_dVb / Weff;		  }		  if ((Rds == 0.0) && (Lambda == 1.0))		  {   T0 = 1.0 / (Abulk * EsatL + Vgst2Vtm);		      tmp1 = 0.0;		      T1 = T0 * T0;		      T2 = Vgst2Vtm * T0;		      T3 = EsatL * Vgst2Vtm;		      Vdsat = T3 * T0;				   		      dT0_dVg = -(Abulk * dEsatL_dVg + EsatL * dAbulk_dVg + 1.0) * T1;		      dT0_dVd = -(Abulk * dEsatL_dVd) * T1; 		      dT0_dVb = -(Abulk * dEsatL_dVb + EsatL * dAbulk_dVb) * T1;                      if (selfheat)		         dT0_dT  = -(Abulk * dEsatL_dT + dVgst2Vtm_dT) * T1;                      else dT0_dT  = 0.0;

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