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 *                                                                       | 
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 * [1]  Meineke, et al., J. Comp. Chem. 26, 252-271 (2005).              | 
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 * [2]  Fennell & Gezelter, J. Chem. Phys. 124, 234104 (2006).           | 
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 * [3]  Sun, Lin & Gezelter, J. Chem. Phys. 128, 24107 (2008).           | 
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 * [4]  Vardeman & Gezelter, in progress (2009).                         | 
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 * [3]  Sun, Lin & Gezelter, J. Chem. Phys. 128, 234107 (2008).           | 
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 * [4]  Kuang & Gezelter,  J. Chem. Phys. 133, 164101 (2010). | 
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 * [5]  Vardeman, Stocker & Gezelter, J. Chem. Theory Comput. 7, 834 (2011). | 
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 */ | 
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  | 
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#include "config.h" | 
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#include <stdio.h> | 
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#include <cmath> | 
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#include <limits> | 
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// | 
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RealType SphericalHarmonic::LegendreP(int l,int m, RealType x) { | 
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 | 
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  RealType temp1, temp2, temp3, temp4, result; | 
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  RealType temp5; | 
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  int i, ll; | 
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  RealType result; | 
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   | 
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  if (fabs(x) > 1.0) { | 
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    printf("LegendreP: x out of range: l = %d\tm = %d\tx = %lf\n", l, m, x); | 
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    printf("LegendreP: m < 0: l = %d\tm = %d\tx = %lf\n", l, m, x); | 
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    return std::numeric_limits <RealType>:: quiet_NaN(); | 
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  } else { | 
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    RealType temp1, temp2, temp3, temp4, temp5; | 
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    temp3=1.0; | 
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     | 
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    if (m>0) { | 
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      temp1=sqrt(1.0-pow(x,2)); | 
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      temp5 = 1.0; | 
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      for (i=1;i<=m;++i) { | 
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      for (int i=1;i<=m;++i) { | 
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        temp3 *= -temp5*temp1; | 
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        temp5 += 2.0; | 
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      } | 
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      if (l==(m+1)) { | 
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        result = temp4; | 
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      } else { | 
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        for (ll=(m+2);ll<=l;++ll) { | 
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        for (int ll=(m+2);ll<=l;++ll) { | 
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          temp2 = (x*(2.*ll-1.)*temp4-(ll+m-1.)*temp3)/(RealType)(ll-m); | 
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          temp3=temp4; | 
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          temp4=temp2; |