Blame specfunc/cheb_eval.c

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static inline int
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cheb_eval_e(const cheb_series * cs,
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            const double x,
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            gsl_sf_result * result)
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{
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  int j;
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  double d  = 0.0;
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  double dd = 0.0;
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  double y  = (2.0*x - cs->a - cs->b) / (cs->b - cs->a);
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  double y2 = 2.0 * y;
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  double e = 0.0;
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  for(j = cs->order; j>=1; j--) {
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    double temp = d;
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    d = y2*d - dd + cs->c[j];
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    e += fabs(y2*temp) + fabs(dd) + fabs(cs->c[j]);
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    dd = temp;
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  }
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  { 
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    double temp = d;
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    d = y*d - dd + 0.5 * cs->c[0];
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    e += fabs(y*temp) + fabs(dd) + 0.5 * fabs(cs->c[0]);
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  }
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  result->val = d;
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  result->err = GSL_DBL_EPSILON * e + fabs(cs->c[cs->order]);
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  return GSL_SUCCESS;
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}
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