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SwRI can revise these Terms at any time * without notice by updating this posting. * * Trademarks * * The SwRI logo is a trademark of SwRI in the United States and other countries. * */ #ident "@(#) $Id: rmie.c 18484 2007-07-12 18:55:07Z carrie $ SwRI" #include #include "user_defs.h" #include "libIDFSMath.h" /******************************************************************************* * * * IDFSMATH_RMIE SUBROUTINE * * * * DESCRIPTION * * This routine will evaluate each of the "x" values and convert them to * * weighted values based on the extra values that are in the integral. The * * return value is the result of the modified "x" dimension width depending * * on the order of the extra term and unit of "x" variable. * * * * INPUT VARIABLES * * SDDAS_FLOAT xval the "x" value to be modified * * SDDAS_CHAR which_dimen flag indicating which dimension is being * * integrated over * * SDDAS_INT power_sx the power of the extra "x" term or the power * * of the sin term * * SDDAS_INT power_c the power of the cos term * * * * USAGE * * x = IDFSMath_rmie (xval, which_dimen, power_sx, power_c) * * * * NECESSARY SUBPROGRAMS * * cos() returns double-precision cosine function of * * the argument * * sin() returns double-precision sine function of * * the argument * * pow() returns double-precision power function of * * the arguments * * * * EXTERNAL VARIABLES * * None * * * * INTERNAL VARIABLES * * double angle the input value of xval (which is in degrees) * * converted into radians * * double cos_ang the cosine of the angle * * double sin_ang the sin of the angle * * double ret_val weighted value modifying the power law * * * * SUBSYSTEM * * Display Level * * * ******************************************************************************/ SDDAS_DOUBLE IDFSMath_rmie (SDDAS_FLOAT xval, SDDAS_CHAR which_dimen, SDDAS_INT power_sx, SDDAS_INT power_c) { double angle, cos_ang, sin_ang, ret_val; /********************************************************************/ /* Angular integration? Convert the angle to radians since value */ /* is in degrees. */ /********************************************************************/ if (which_dimen == PHI_DIMEN || which_dimen == THETA_DIMEN) { angle = xval * M_PI / 180.0; /*********************************************************************/ /* Just delta x. */ /*********************************************************************/ if (power_sx == 0 && power_c == 0) return ((SDDAS_DOUBLE) angle); /*********************************************************************/ /* No cosine components, just sine components. */ /*********************************************************************/ if (power_c == 0) { cos_ang = cos (angle); /******************************************************************/ /* sin(x) result. */ /******************************************************************/ if (power_sx == 1) return ((SDDAS_DOUBLE) -cos_ang); /******************************************************************/ /* [sin(x)]**2 result. */ /******************************************************************/ sin_ang = sin (angle); if (power_sx == 2) return ((SDDAS_DOUBLE) (angle - cos_ang * sin_ang) / 2); /******************************************************************/ /* [sin(x)]**3 result. */ /******************************************************************/ if (power_sx == 3) return ((SDDAS_DOUBLE) -cos_ang * (sin_ang * sin_ang + 2) / 3); } /*********************************************************************/ /* No sine components, just cosine components. */ /*********************************************************************/ if (power_sx == 0) { /******************************************************************/ /* cos(x) result. */ /******************************************************************/ sin_ang = sin (angle); if (power_c == 1) return ((SDDAS_DOUBLE) sin_ang); /******************************************************************/ /* [cos(x)]**2 result. */ /******************************************************************/ cos_ang = cos (angle); if (power_c == 2) return ((SDDAS_DOUBLE) (angle + cos_ang * sin_ang) / 2); } /*********************************************************************/ /* cos(x) * [sin(x)]**n components */ /*********************************************************************/ if (power_c == 1) { /******************************************************************/ /* result for n=1. */ /******************************************************************/ sin_ang = sin (angle); if (power_sx == 1) return ((SDDAS_DOUBLE) sin_ang * sin_ang / 2); /******************************************************************/ /* result for n=2. */ /******************************************************************/ if (power_sx == 2) return ((SDDAS_DOUBLE) sin_ang * sin_ang * sin_ang / 3); } /*********************************************************************/ /* [cos(x)]**n * sin(x) components for n > 1 */ /*********************************************************************/ if (power_sx == 1) { /******************************************************************/ /* result for n=2. */ /******************************************************************/ cos_ang = cos (angle); if (power_c == 2) return ((SDDAS_DOUBLE) -cos_ang * cos_ang * cos_ang / 3); } } /********************************************************************/ /* Non-angular integration. */ /********************************************************************/ else { if (power_sx == 0) return (xval); /********************************************************************/ /* Determine the weight power and adjust the value accordingly */ /* in order to return the weighted value. */ /********************************************************************/ ret_val = pow (xval, (power_sx + 1)); ret_val = ret_val / (power_sx + 1); return ((SDDAS_DOUBLE) ret_val); } /********************************************************************/ /* No case match, so return large value to flag the scenario. */ /********************************************************************/ return (OUTSIDE_MAX); }