#include #include #include #include #include char *name = "Midpoint on a great circle"; double f_if(float lambda1, float lambda2, float phi1, float phi2) { float r22210 = lambda1; float r22211 = phi2; float r22212 = cos(r22211); float r22213 = lambda2; float r22214 = r22210 - r22213; float r22215 = sin(r22214); float r22216 = r22212 * r22215; float r22217 = phi1; float r22218 = cos(r22217); float r22219 = cos(r22214); float r22220 = r22212 * r22219; float r22221 = r22218 + r22220; float r22222 = atan2(r22216, r22221); float r22223 = r22210 + r22222; return r22223; } double f_id(double lambda1, double lambda2, double phi1, double phi2) { double r22224 = lambda1; double r22225 = phi2; double r22226 = cos(r22225); double r22227 = lambda2; double r22228 = r22224 - r22227; double r22229 = sin(r22228); double r22230 = r22226 * r22229; double r22231 = phi1; double r22232 = cos(r22231); double r22233 = cos(r22228); double r22234 = r22226 * r22233; double r22235 = r22232 + r22234; double r22236 = atan2(r22230, r22235); double r22237 = r22224 + r22236; return r22237; } double f_of(float lambda1, float lambda2, float phi1, float phi2) { float r22238 = lambda1; float r22239 = phi2; float r22240 = cos(r22239); float r22241 = sin(r22238); float r22242 = lambda2; float r22243 = cos(r22242); float r22244 = r22241 * r22243; float r22245 = cos(r22238); float r22246 = -r22242; float r22247 = sin(r22246); float r22248 = r22245 * r22247; float r22249 = r22244 + r22248; float r22250 = r22240 * r22249; float r22251 = phi1; float r22252 = cos(r22251); float r22253 = cbrt(r22252); float r22254 = r22253 * r22253; float r22255 = r22245 * r22243; float r22256 = r22241 * r22247; float r22257 = r22255 - r22256; float r22258 = r22240 * r22257; float r22259 = fma(r22254, r22253, r22258); float r22260 = atan2(r22250, r22259); float r22261 = r22238 + r22260; return r22261; } double f_od(double lambda1, double lambda2, double phi1, double phi2) { double r22262 = lambda1; double r22263 = phi2; double r22264 = cos(r22263); double r22265 = sin(r22262); double r22266 = lambda2; double r22267 = cos(r22266); double r22268 = r22265 * r22267; double r22269 = cos(r22262); double r22270 = -r22266; double r22271 = sin(r22270); double r22272 = r22269 * r22271; double r22273 = r22268 + r22272; double r22274 = r22264 * r22273; double r22275 = phi1; double r22276 = cos(r22275); double r22277 = cbrt(r22276); double r22278 = r22277 * r22277; double r22279 = r22269 * r22267; double r22280 = r22265 * r22271; double r22281 = r22279 - r22280; double r22282 = r22264 * r22281; double r22283 = fma(r22278, r22277, r22282); double r22284 = atan2(r22274, r22283); double r22285 = r22262 + r22284; return r22285; } 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 r22286, r22287, r22288, r22289, r22290, r22291, r22292, r22293, r22294, r22295, r22296, r22297, r22298, r22299; void setup_mpfr_f_im() { mpfr_set_default_prec(1360); mpfr_init(r22286); mpfr_init(r22287); mpfr_init(r22288); mpfr_init(r22289); mpfr_init(r22290); mpfr_init(r22291); mpfr_init(r22292); mpfr_init(r22293); mpfr_init(r22294); mpfr_init(r22295); mpfr_init(r22296); mpfr_init(r22297); mpfr_init(r22298); mpfr_init(r22299); } double f_im(double lambda1, double lambda2, double phi1, double phi2) { mpfr_set_d(r22286, lambda1, MPFR_RNDN); mpfr_set_d(r22287, phi2, MPFR_RNDN); mpfr_cos(r22288, r22287, MPFR_RNDN); mpfr_set_d(r22289, lambda2, MPFR_RNDN); mpfr_sub(r22290, r22286, r22289, MPFR_RNDN); mpfr_sin(r22291, r22290, MPFR_RNDN); mpfr_mul(r22292, r22288, r22291, MPFR_RNDN); mpfr_set_d(r22293, phi1, MPFR_RNDN); mpfr_cos(r22294, r22293, MPFR_RNDN); mpfr_cos(r22295, r22290, MPFR_RNDN); mpfr_mul(r22296, r22288, r22295, MPFR_RNDN); mpfr_add(r22297, r22294, r22296, MPFR_RNDN); mpfr_atan2(r22298, r22292, r22297, MPFR_RNDN); mpfr_add(r22299, r22286, r22298, MPFR_RNDN); return mpfr_get_d(r22299, MPFR_RNDN); } static mpfr_t r22300, r22301, r22302, r22303, r22304, r22305, r22306, r22307, r22308, r22309, r22310, r22311, r22312, r22313, r22314, r22315, r22316, r22317, r22318, r22319, r22320, r22321, r22322, r22323; void setup_mpfr_f_fm() { mpfr_set_default_prec(1360); mpfr_init(r22300); mpfr_init(r22301); mpfr_init(r22302); mpfr_init(r22303); mpfr_init(r22304); mpfr_init(r22305); mpfr_init(r22306); mpfr_init(r22307); mpfr_init(r22308); mpfr_init(r22309); mpfr_init(r22310); mpfr_init(r22311); mpfr_init(r22312); mpfr_init(r22313); mpfr_init(r22314); mpfr_init(r22315); mpfr_init(r22316); mpfr_init(r22317); mpfr_init(r22318); mpfr_init(r22319); mpfr_init(r22320); mpfr_init(r22321); mpfr_init(r22322); mpfr_init(r22323); } double f_fm(double lambda1, double lambda2, double phi1, double phi2) { mpfr_set_d(r22300, lambda1, MPFR_RNDN); mpfr_set_d(r22301, phi2, MPFR_RNDN); mpfr_cos(r22302, r22301, MPFR_RNDN); mpfr_sin(r22303, r22300, MPFR_RNDN); mpfr_set_d(r22304, lambda2, MPFR_RNDN); mpfr_cos(r22305, r22304, MPFR_RNDN); mpfr_mul(r22306, r22303, r22305, MPFR_RNDN); mpfr_cos(r22307, r22300, MPFR_RNDN); mpfr_neg(r22308, r22304, MPFR_RNDN); mpfr_sin(r22309, r22308, MPFR_RNDN); mpfr_mul(r22310, r22307, r22309, MPFR_RNDN); mpfr_add(r22311, r22306, r22310, MPFR_RNDN); mpfr_mul(r22312, r22302, r22311, MPFR_RNDN); mpfr_set_d(r22313, phi1, MPFR_RNDN); mpfr_cos(r22314, r22313, MPFR_RNDN); mpfr_cbrt(r22315, r22314, MPFR_RNDN); mpfr_mul(r22316, r22315, r22315, MPFR_RNDN); mpfr_mul(r22317, r22307, r22305, MPFR_RNDN); mpfr_mul(r22318, r22303, r22309, MPFR_RNDN); mpfr_sub(r22319, r22317, r22318, MPFR_RNDN); mpfr_mul(r22320, r22302, r22319, MPFR_RNDN); mpfr_fma(r22321, r22316, r22315, r22320, MPFR_RNDN); mpfr_atan2(r22322, r22312, r22321, MPFR_RNDN); mpfr_add(r22323, r22300, r22322, MPFR_RNDN); return mpfr_get_d(r22323, MPFR_RNDN); } static mpfr_t r22324, r22325, r22326, r22327, r22328, r22329, r22330, r22331, r22332, r22333, r22334, r22335, r22336, r22337, r22338, r22339, r22340, r22341, r22342, r22343, r22344, r22345, r22346, r22347; void setup_mpfr_f_dm() { mpfr_set_default_prec(1360); mpfr_init(r22324); mpfr_init(r22325); mpfr_init(r22326); mpfr_init(r22327); mpfr_init(r22328); mpfr_init(r22329); mpfr_init(r22330); mpfr_init(r22331); mpfr_init(r22332); mpfr_init(r22333); mpfr_init(r22334); mpfr_init(r22335); mpfr_init(r22336); mpfr_init(r22337); mpfr_init(r22338); mpfr_init(r22339); mpfr_init(r22340); mpfr_init(r22341); mpfr_init(r22342); mpfr_init(r22343); mpfr_init(r22344); mpfr_init(r22345); mpfr_init(r22346); mpfr_init(r22347); } double f_dm(double lambda1, double lambda2, double phi1, double phi2) { mpfr_set_d(r22324, lambda1, MPFR_RNDN); mpfr_set_d(r22325, phi2, MPFR_RNDN); mpfr_cos(r22326, r22325, MPFR_RNDN); mpfr_sin(r22327, r22324, MPFR_RNDN); mpfr_set_d(r22328, lambda2, MPFR_RNDN); mpfr_cos(r22329, r22328, MPFR_RNDN); mpfr_mul(r22330, r22327, r22329, MPFR_RNDN); mpfr_cos(r22331, r22324, MPFR_RNDN); mpfr_neg(r22332, r22328, MPFR_RNDN); mpfr_sin(r22333, r22332, MPFR_RNDN); mpfr_mul(r22334, r22331, r22333, MPFR_RNDN); mpfr_add(r22335, r22330, r22334, MPFR_RNDN); mpfr_mul(r22336, r22326, r22335, MPFR_RNDN); mpfr_set_d(r22337, phi1, MPFR_RNDN); mpfr_cos(r22338, r22337, MPFR_RNDN); mpfr_cbrt(r22339, r22338, MPFR_RNDN); mpfr_mul(r22340, r22339, r22339, MPFR_RNDN); mpfr_mul(r22341, r22331, r22329, MPFR_RNDN); mpfr_mul(r22342, r22327, r22333, MPFR_RNDN); mpfr_sub(r22343, r22341, r22342, MPFR_RNDN); mpfr_mul(r22344, r22326, r22343, MPFR_RNDN); mpfr_fma(r22345, r22340, r22339, r22344, MPFR_RNDN); mpfr_atan2(r22346, r22336, r22345, MPFR_RNDN); mpfr_add(r22347, r22324, r22346, MPFR_RNDN); return mpfr_get_d(r22347, MPFR_RNDN); }