#include #include #include #include #include char *name = "Midpoint on a great circle"; double f_if(float lambda1, float lambda2, float phi1, float phi2) { float r22205 = lambda1; float r22206 = phi2; float r22207 = cos(r22206); float r22208 = lambda2; float r22209 = r22205 - r22208; float r22210 = sin(r22209); float r22211 = r22207 * r22210; float r22212 = phi1; float r22213 = cos(r22212); float r22214 = cos(r22209); float r22215 = r22207 * r22214; float r22216 = r22213 + r22215; float r22217 = atan2(r22211, r22216); float r22218 = r22205 + r22217; return r22218; } double f_id(double lambda1, double lambda2, double phi1, double phi2) { double r22219 = lambda1; double r22220 = phi2; double r22221 = cos(r22220); double r22222 = lambda2; double r22223 = r22219 - r22222; double r22224 = sin(r22223); double r22225 = r22221 * r22224; double r22226 = phi1; double r22227 = cos(r22226); double r22228 = cos(r22223); double r22229 = r22221 * r22228; double r22230 = r22227 + r22229; double r22231 = atan2(r22225, r22230); double r22232 = r22219 + r22231; return r22232; } double f_of(float lambda1, float lambda2, float phi1, float phi2) { float r22233 = lambda1; float r22234 = phi2; float r22235 = cos(r22234); float r22236 = sin(r22233); float r22237 = lambda2; float r22238 = cos(r22237); float r22239 = r22236 * r22238; float r22240 = cos(r22233); float r22241 = -r22237; float r22242 = sin(r22241); float r22243 = r22240 * r22242; float r22244 = r22239 + r22243; float r22245 = r22235 * r22244; float r22246 = r22238 * r22235; float r22247 = phi1; float r22248 = cos(r22247); float r22249 = fma(r22246, r22240, r22248); float r22250 = 3; float r22251 = pow(r22249, r22250); float r22252 = cbrt(r22251); float r22253 = sin(r22237); float r22254 = r22236 * r22253; float r22255 = r22235 * r22254; float r22256 = r22252 + r22255; float r22257 = atan2(r22245, r22256); float r22258 = r22233 + r22257; return r22258; } double f_od(double lambda1, double lambda2, double phi1, double phi2) { double r22259 = lambda1; double r22260 = phi2; double r22261 = cos(r22260); double r22262 = sin(r22259); double r22263 = lambda2; double r22264 = cos(r22263); double r22265 = r22262 * r22264; double r22266 = cos(r22259); double r22267 = -r22263; double r22268 = sin(r22267); double r22269 = r22266 * r22268; double r22270 = r22265 + r22269; double r22271 = r22261 * r22270; double r22272 = r22264 * r22261; double r22273 = phi1; double r22274 = cos(r22273); double r22275 = fma(r22272, r22266, r22274); double r22276 = 3; double r22277 = pow(r22275, r22276); double r22278 = cbrt(r22277); double r22279 = sin(r22263); double r22280 = r22262 * r22279; double r22281 = r22261 * r22280; double r22282 = r22278 + r22281; double r22283 = atan2(r22271, r22282); double r22284 = r22259 + r22283; return r22284; } 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 r22285, r22286, r22287, r22288, r22289, r22290, r22291, r22292, r22293, r22294, r22295, r22296, r22297, r22298; void setup_mpfr_f_im() { mpfr_set_default_prec(1360); mpfr_init(r22285); 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); } double f_im(double lambda1, double lambda2, double phi1, double phi2) { mpfr_set_d(r22285, lambda1, MPFR_RNDN); mpfr_set_d(r22286, phi2, MPFR_RNDN); mpfr_cos(r22287, r22286, MPFR_RNDN); mpfr_set_d(r22288, lambda2, MPFR_RNDN); mpfr_sub(r22289, r22285, r22288, MPFR_RNDN); mpfr_sin(r22290, r22289, MPFR_RNDN); mpfr_mul(r22291, r22287, r22290, MPFR_RNDN); mpfr_set_d(r22292, phi1, MPFR_RNDN); mpfr_cos(r22293, r22292, MPFR_RNDN); mpfr_cos(r22294, r22289, MPFR_RNDN); mpfr_mul(r22295, r22287, r22294, MPFR_RNDN); mpfr_add(r22296, r22293, r22295, MPFR_RNDN); mpfr_atan2(r22297, r22291, r22296, MPFR_RNDN); mpfr_add(r22298, r22285, r22297, MPFR_RNDN); return mpfr_get_d(r22298, MPFR_RNDN); } static mpfr_t r22299, r22300, r22301, r22302, r22303, r22304, r22305, r22306, r22307, r22308, r22309, r22310, r22311, r22312, r22313, r22314, r22315, r22316, r22317, r22318, r22319, r22320, r22321, r22322, r22323, r22324; void setup_mpfr_f_fm() { mpfr_set_default_prec(1360); mpfr_init(r22299); 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_set_str(r22316, "3", 10, MPFR_RNDN); mpfr_init(r22317); mpfr_init(r22318); mpfr_init(r22319); mpfr_init(r22320); mpfr_init(r22321); mpfr_init(r22322); mpfr_init(r22323); mpfr_init(r22324); } double f_fm(double lambda1, double lambda2, double phi1, double phi2) { mpfr_set_d(r22299, lambda1, MPFR_RNDN); mpfr_set_d(r22300, phi2, MPFR_RNDN); mpfr_cos(r22301, r22300, MPFR_RNDN); mpfr_sin(r22302, r22299, MPFR_RNDN); mpfr_set_d(r22303, lambda2, MPFR_RNDN); mpfr_cos(r22304, r22303, MPFR_RNDN); mpfr_mul(r22305, r22302, r22304, MPFR_RNDN); mpfr_cos(r22306, r22299, MPFR_RNDN); mpfr_neg(r22307, r22303, MPFR_RNDN); mpfr_sin(r22308, r22307, MPFR_RNDN); mpfr_mul(r22309, r22306, r22308, MPFR_RNDN); mpfr_add(r22310, r22305, r22309, MPFR_RNDN); mpfr_mul(r22311, r22301, r22310, MPFR_RNDN); mpfr_mul(r22312, r22304, r22301, MPFR_RNDN); mpfr_set_d(r22313, phi1, MPFR_RNDN); mpfr_cos(r22314, r22313, MPFR_RNDN); mpfr_fma(r22315, r22312, r22306, r22314, MPFR_RNDN); ; mpfr_pow(r22317, r22315, r22316, MPFR_RNDN); mpfr_cbrt(r22318, r22317, MPFR_RNDN); mpfr_sin(r22319, r22303, MPFR_RNDN); mpfr_mul(r22320, r22302, r22319, MPFR_RNDN); mpfr_mul(r22321, r22301, r22320, MPFR_RNDN); mpfr_add(r22322, r22318, r22321, MPFR_RNDN); mpfr_atan2(r22323, r22311, r22322, MPFR_RNDN); mpfr_add(r22324, r22299, r22323, MPFR_RNDN); return mpfr_get_d(r22324, MPFR_RNDN); } static mpfr_t r22325, r22326, r22327, r22328, r22329, r22330, r22331, r22332, r22333, r22334, r22335, r22336, r22337, r22338, r22339, r22340, r22341, r22342, r22343, r22344, r22345, r22346, r22347, r22348, r22349, r22350; void setup_mpfr_f_dm() { mpfr_set_default_prec(1360); 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_set_str(r22342, "3", 10, MPFR_RNDN); mpfr_init(r22343); mpfr_init(r22344); mpfr_init(r22345); mpfr_init(r22346); mpfr_init(r22347); mpfr_init(r22348); mpfr_init(r22349); mpfr_init(r22350); } double f_dm(double lambda1, double lambda2, double phi1, double phi2) { mpfr_set_d(r22325, lambda1, MPFR_RNDN); mpfr_set_d(r22326, phi2, MPFR_RNDN); mpfr_cos(r22327, r22326, MPFR_RNDN); mpfr_sin(r22328, r22325, MPFR_RNDN); mpfr_set_d(r22329, lambda2, MPFR_RNDN); mpfr_cos(r22330, r22329, MPFR_RNDN); mpfr_mul(r22331, r22328, r22330, MPFR_RNDN); mpfr_cos(r22332, r22325, MPFR_RNDN); mpfr_neg(r22333, r22329, MPFR_RNDN); mpfr_sin(r22334, r22333, MPFR_RNDN); mpfr_mul(r22335, r22332, r22334, MPFR_RNDN); mpfr_add(r22336, r22331, r22335, MPFR_RNDN); mpfr_mul(r22337, r22327, r22336, MPFR_RNDN); mpfr_mul(r22338, r22330, r22327, MPFR_RNDN); mpfr_set_d(r22339, phi1, MPFR_RNDN); mpfr_cos(r22340, r22339, MPFR_RNDN); mpfr_fma(r22341, r22338, r22332, r22340, MPFR_RNDN); ; mpfr_pow(r22343, r22341, r22342, MPFR_RNDN); mpfr_cbrt(r22344, r22343, MPFR_RNDN); mpfr_sin(r22345, r22329, MPFR_RNDN); mpfr_mul(r22346, r22328, r22345, MPFR_RNDN); mpfr_mul(r22347, r22327, r22346, MPFR_RNDN); mpfr_add(r22348, r22344, r22347, MPFR_RNDN); mpfr_atan2(r22349, r22337, r22348, MPFR_RNDN); mpfr_add(r22350, r22325, r22349, MPFR_RNDN); return mpfr_get_d(r22350, MPFR_RNDN); }