#include #include #include #include #include char *name = "Midpoint on a great circle"; double f_if(float lambda1, float lambda2, float phi1, float phi2) { float r22139 = lambda1; float r22140 = phi2; float r22141 = cos(r22140); float r22142 = lambda2; float r22143 = r22139 - r22142; float r22144 = sin(r22143); float r22145 = r22141 * r22144; float r22146 = phi1; float r22147 = cos(r22146); float r22148 = cos(r22143); float r22149 = r22141 * r22148; float r22150 = r22147 + r22149; float r22151 = atan2(r22145, r22150); float r22152 = r22139 + r22151; return r22152; } double f_id(double lambda1, double lambda2, double phi1, double phi2) { double r22153 = lambda1; double r22154 = phi2; double r22155 = cos(r22154); double r22156 = lambda2; double r22157 = r22153 - r22156; double r22158 = sin(r22157); double r22159 = r22155 * r22158; double r22160 = phi1; double r22161 = cos(r22160); double r22162 = cos(r22157); double r22163 = r22155 * r22162; double r22164 = r22161 + r22163; double r22165 = atan2(r22159, r22164); double r22166 = r22153 + r22165; return r22166; } double f_of(float lambda1, float lambda2, float phi1, float phi2) { float r22167 = phi2; float r22168 = cos(r22167); float r22169 = lambda1; float r22170 = sin(r22169); float r22171 = lambda2; float r22172 = cos(r22171); float r22173 = r22170 * r22172; float r22174 = cos(r22169); float r22175 = -r22171; float r22176 = sin(r22175); float r22177 = r22174 * r22176; float r22178 = r22173 + r22177; float r22179 = r22168 * r22178; float r22180 = sin(r22171); float r22181 = r22172 * r22174; float r22182 = fma(r22170, r22180, r22181); float r22183 = phi1; float r22184 = cos(r22183); float r22185 = fma(r22168, r22182, r22184); float r22186 = r22185 * r22185; float r22187 = r22186 * r22185; float r22188 = cbrt(r22187); float r22189 = atan2(r22179, r22188); float r22190 = r22189 + r22169; return r22190; } double f_od(double lambda1, double lambda2, double phi1, double phi2) { double r22191 = phi2; double r22192 = cos(r22191); double r22193 = lambda1; double r22194 = sin(r22193); double r22195 = lambda2; double r22196 = cos(r22195); double r22197 = r22194 * r22196; double r22198 = cos(r22193); double r22199 = -r22195; double r22200 = sin(r22199); double r22201 = r22198 * r22200; double r22202 = r22197 + r22201; double r22203 = r22192 * r22202; double r22204 = sin(r22195); double r22205 = r22196 * r22198; double r22206 = fma(r22194, r22204, r22205); double r22207 = phi1; double r22208 = cos(r22207); double r22209 = fma(r22192, r22206, r22208); double r22210 = r22209 * r22209; double r22211 = r22210 * r22209; double r22212 = cbrt(r22211); double r22213 = atan2(r22203, r22212); double r22214 = r22213 + r22193; return r22214; } void mpfr_fmod2(mpfr_t r, mpfr_t n, mpfr_t d, mpfr_rnd_t rmd) { mpfr_fmod(r, n, d, rmd); if (mpfr_cmp_ui(r, 0) < 0) mpfr_add(r, r, d, rmd); } static mpfr_t r22215, r22216, r22217, r22218, r22219, r22220, r22221, r22222, r22223, r22224, r22225, r22226, r22227, r22228; void setup_mpfr_f_im() { mpfr_set_default_prec(1424); mpfr_init(r22215); mpfr_init(r22216); mpfr_init(r22217); mpfr_init(r22218); mpfr_init(r22219); mpfr_init(r22220); mpfr_init(r22221); mpfr_init(r22222); mpfr_init(r22223); mpfr_init(r22224); mpfr_init(r22225); mpfr_init(r22226); mpfr_init(r22227); mpfr_init(r22228); } double f_im(double lambda1, double lambda2, double phi1, double phi2) { mpfr_set_d(r22215, lambda1, MPFR_RNDN); mpfr_set_d(r22216, phi2, MPFR_RNDN); mpfr_cos(r22217, r22216, MPFR_RNDN); mpfr_set_d(r22218, lambda2, MPFR_RNDN); mpfr_sub(r22219, r22215, r22218, MPFR_RNDN); mpfr_sin(r22220, r22219, MPFR_RNDN); mpfr_mul(r22221, r22217, r22220, MPFR_RNDN); mpfr_set_d(r22222, phi1, MPFR_RNDN); mpfr_cos(r22223, r22222, MPFR_RNDN); mpfr_cos(r22224, r22219, MPFR_RNDN); mpfr_mul(r22225, r22217, r22224, MPFR_RNDN); mpfr_add(r22226, r22223, r22225, MPFR_RNDN); mpfr_atan2(r22227, r22221, r22226, MPFR_RNDN); mpfr_add(r22228, r22215, r22227, MPFR_RNDN); return mpfr_get_d(r22228, MPFR_RNDN); } static mpfr_t r22229, r22230, r22231, r22232, r22233, r22234, r22235, r22236, r22237, r22238, r22239, r22240, r22241, r22242, r22243, r22244, r22245, r22246, r22247, r22248, r22249, r22250, r22251, r22252; void setup_mpfr_f_fm() { mpfr_set_default_prec(1424); mpfr_init(r22229); mpfr_init(r22230); mpfr_init(r22231); mpfr_init(r22232); mpfr_init(r22233); mpfr_init(r22234); mpfr_init(r22235); mpfr_init(r22236); mpfr_init(r22237); mpfr_init(r22238); mpfr_init(r22239); mpfr_init(r22240); mpfr_init(r22241); mpfr_init(r22242); mpfr_init(r22243); mpfr_init(r22244); mpfr_init(r22245); mpfr_init(r22246); mpfr_init(r22247); mpfr_init(r22248); mpfr_init(r22249); mpfr_init(r22250); mpfr_init(r22251); mpfr_init(r22252); } double f_fm(double lambda1, double lambda2, double phi1, double phi2) { mpfr_set_d(r22229, phi2, MPFR_RNDN); mpfr_cos(r22230, r22229, MPFR_RNDN); mpfr_set_d(r22231, lambda1, MPFR_RNDN); mpfr_sin(r22232, r22231, MPFR_RNDN); mpfr_set_d(r22233, lambda2, MPFR_RNDN); mpfr_cos(r22234, r22233, MPFR_RNDN); mpfr_mul(r22235, r22232, r22234, MPFR_RNDN); mpfr_cos(r22236, r22231, MPFR_RNDN); mpfr_neg(r22237, r22233, MPFR_RNDN); mpfr_sin(r22238, r22237, MPFR_RNDN); mpfr_mul(r22239, r22236, r22238, MPFR_RNDN); mpfr_add(r22240, r22235, r22239, MPFR_RNDN); mpfr_mul(r22241, r22230, r22240, MPFR_RNDN); mpfr_sin(r22242, r22233, MPFR_RNDN); mpfr_mul(r22243, r22234, r22236, MPFR_RNDN); mpfr_fma(r22244, r22232, r22242, r22243, MPFR_RNDN); mpfr_set_d(r22245, phi1, MPFR_RNDN); mpfr_cos(r22246, r22245, MPFR_RNDN); mpfr_fma(r22247, r22230, r22244, r22246, MPFR_RNDN); mpfr_mul(r22248, r22247, r22247, MPFR_RNDN); mpfr_mul(r22249, r22248, r22247, MPFR_RNDN); mpfr_cbrt(r22250, r22249, MPFR_RNDN); mpfr_atan2(r22251, r22241, r22250, MPFR_RNDN); mpfr_add(r22252, r22251, r22231, MPFR_RNDN); return mpfr_get_d(r22252, MPFR_RNDN); } static mpfr_t r22253, r22254, r22255, r22256, r22257, r22258, r22259, r22260, r22261, r22262, r22263, r22264, r22265, r22266, r22267, r22268, r22269, r22270, r22271, r22272, r22273, r22274, r22275, r22276; void setup_mpfr_f_dm() { mpfr_set_default_prec(1424); mpfr_init(r22253); mpfr_init(r22254); mpfr_init(r22255); mpfr_init(r22256); mpfr_init(r22257); mpfr_init(r22258); mpfr_init(r22259); mpfr_init(r22260); mpfr_init(r22261); mpfr_init(r22262); mpfr_init(r22263); mpfr_init(r22264); mpfr_init(r22265); mpfr_init(r22266); mpfr_init(r22267); mpfr_init(r22268); mpfr_init(r22269); mpfr_init(r22270); mpfr_init(r22271); mpfr_init(r22272); mpfr_init(r22273); mpfr_init(r22274); mpfr_init(r22275); mpfr_init(r22276); } double f_dm(double lambda1, double lambda2, double phi1, double phi2) { mpfr_set_d(r22253, phi2, MPFR_RNDN); mpfr_cos(r22254, r22253, MPFR_RNDN); mpfr_set_d(r22255, lambda1, MPFR_RNDN); mpfr_sin(r22256, r22255, MPFR_RNDN); mpfr_set_d(r22257, lambda2, MPFR_RNDN); mpfr_cos(r22258, r22257, MPFR_RNDN); mpfr_mul(r22259, r22256, r22258, MPFR_RNDN); mpfr_cos(r22260, r22255, MPFR_RNDN); mpfr_neg(r22261, r22257, MPFR_RNDN); mpfr_sin(r22262, r22261, MPFR_RNDN); mpfr_mul(r22263, r22260, r22262, MPFR_RNDN); mpfr_add(r22264, r22259, r22263, MPFR_RNDN); mpfr_mul(r22265, r22254, r22264, MPFR_RNDN); mpfr_sin(r22266, r22257, MPFR_RNDN); mpfr_mul(r22267, r22258, r22260, MPFR_RNDN); mpfr_fma(r22268, r22256, r22266, r22267, MPFR_RNDN); mpfr_set_d(r22269, phi1, MPFR_RNDN); mpfr_cos(r22270, r22269, MPFR_RNDN); mpfr_fma(r22271, r22254, r22268, r22270, MPFR_RNDN); mpfr_mul(r22272, r22271, r22271, MPFR_RNDN); mpfr_mul(r22273, r22272, r22271, MPFR_RNDN); mpfr_cbrt(r22274, r22273, MPFR_RNDN); mpfr_atan2(r22275, r22265, r22274, MPFR_RNDN); mpfr_add(r22276, r22275, r22255, MPFR_RNDN); return mpfr_get_d(r22276, MPFR_RNDN); }