#include #include #include #include #include char *name = "NMSE example 3.3"; double f_if(float x, float eps) { float r17180 = x; float r17181 = eps; float r17182 = r17180 + r17181; float r17183 = sin(r17182); float r17184 = sin(r17180); float r17185 = r17183 - r17184; return r17185; } double f_id(double x, double eps) { double r17186 = x; double r17187 = eps; double r17188 = r17186 + r17187; double r17189 = sin(r17188); double r17190 = sin(r17186); double r17191 = r17189 - r17190; return r17191; } double f_of(float x, float eps) { float r17192 = eps; float r17193 = -0.003593724686652422f; bool r17194 = r17192 <= r17193; float r17195 = x; float r17196 = sin(r17195); float r17197 = cos(r17192); float r17198 = r17196 * r17197; float r17199 = exp(r17198); float r17200 = log(r17199); float r17201 = cos(r17195); float r17202 = sin(r17192); float r17203 = r17201 * r17202; float r17204 = r17203 - r17196; float r17205 = r17200 + r17204; float r17206 = 0.3662590980529785f; bool r17207 = r17192 <= r17206; float r17208 = 2.0f; float r17209 = r17208 * r17192; float r17210 = r17201 * r17209; float r17211 = r17196 * r17210; float r17212 = 0.3333333432674408f; float r17213 = r17192 * r17212; float r17214 = r17192 * r17192; float r17215 = r17213 * r17214; float r17216 = r17201 * r17196; float r17217 = fma(r17215, r17216, r17214); float r17218 = r17211 - r17217; float r17219 = fma(r17197, r17196, r17196); float r17220 = r17219 - r17203; float r17221 = r17218 / r17220; float r17222 = r17198 * r17198; float r17223 = r17204 * r17204; float r17224 = 1.0f; float r17225 = pow(r17223, r17224); float r17226 = r17222 - r17225; float r17227 = r17202 * r17201; float r17228 = r17219 - r17227; float r17229 = r17226 / r17228; float r17230 = r17207 ? r17221 : r17229; float r17231 = r17194 ? r17205 : r17230; return r17231; } double f_od(double x, double eps) { double r17232 = eps; double r17233 = -0.003593724686652422; bool r17234 = r17232 <= r17233; double r17235 = x; double r17236 = sin(r17235); double r17237 = cos(r17232); double r17238 = r17236 * r17237; double r17239 = exp(r17238); double r17240 = log(r17239); double r17241 = cos(r17235); double r17242 = sin(r17232); double r17243 = r17241 * r17242; double r17244 = r17243 - r17236; double r17245 = r17240 + r17244; double r17246 = 0.3662590980529785; bool r17247 = r17232 <= r17246; double r17248 = 2.0; double r17249 = r17248 * r17232; double r17250 = r17241 * r17249; double r17251 = r17236 * r17250; double r17252 = 0.3333333432674408; double r17253 = r17232 * r17252; double r17254 = r17232 * r17232; double r17255 = r17253 * r17254; double r17256 = r17241 * r17236; double r17257 = fma(r17255, r17256, r17254); double r17258 = r17251 - r17257; double r17259 = fma(r17237, r17236, r17236); double r17260 = r17259 - r17243; double r17261 = r17258 / r17260; double r17262 = r17238 * r17238; double r17263 = r17244 * r17244; double r17264 = 1.0; double r17265 = pow(r17263, r17264); double r17266 = r17262 - r17265; double r17267 = r17242 * r17241; double r17268 = r17259 - r17267; double r17269 = r17266 / r17268; double r17270 = r17247 ? r17261 : r17269; double r17271 = r17234 ? r17245 : r17270; return r17271; } 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 r17272, r17273, r17274, r17275, r17276, r17277; void setup_mpfr_f_im() { mpfr_set_default_prec(144); mpfr_init(r17272); mpfr_init(r17273); mpfr_init(r17274); mpfr_init(r17275); mpfr_init(r17276); mpfr_init(r17277); } double f_im(double x, double eps) { mpfr_set_d(r17272, x, MPFR_RNDN); mpfr_set_d(r17273, eps, MPFR_RNDN); mpfr_add(r17274, r17272, r17273, MPFR_RNDN); mpfr_sin(r17275, r17274, MPFR_RNDN); mpfr_sin(r17276, r17272, MPFR_RNDN); mpfr_sub(r17277, r17275, r17276, MPFR_RNDN); return mpfr_get_d(r17277, MPFR_RNDN); } static mpfr_t r17278, r17279, r17280, r17281, r17282, r17283, r17284, r17285, r17286, r17287, r17288, r17289, r17290, r17291, r17292, r17293, r17294, r17295, r17296, r17297, r17298, r17299, r17300, r17301, r17302, r17303, r17304, r17305, r17306, r17307, r17308, r17309, r17310, r17311, r17312, r17313, r17314, r17315, r17316, r17317; void setup_mpfr_f_fm() { mpfr_set_default_prec(144); mpfr_init(r17278); mpfr_init_set_str(r17279, "-0.0035937247f0", 10, MPFR_RNDN); mpfr_init(r17280); mpfr_init(r17281); mpfr_init(r17282); mpfr_init(r17283); mpfr_init(r17284); mpfr_init(r17285); mpfr_init(r17286); mpfr_init(r17287); mpfr_init(r17288); mpfr_init(r17289); mpfr_init(r17290); mpfr_init(r17291); mpfr_init_set_str(r17292, "0.3662591f0", 10, MPFR_RNDN); mpfr_init(r17293); mpfr_init_set_str(r17294, "2", 10, MPFR_RNDN); mpfr_init(r17295); mpfr_init(r17296); mpfr_init(r17297); mpfr_init_set_str(r17298, "1/3", 10, MPFR_RNDN); mpfr_init(r17299); mpfr_init(r17300); mpfr_init(r17301); mpfr_init(r17302); mpfr_init(r17303); mpfr_init(r17304); mpfr_init(r17305); mpfr_init(r17306); mpfr_init(r17307); mpfr_init(r17308); mpfr_init(r17309); mpfr_init_set_str(r17310, "1", 10, MPFR_RNDN); mpfr_init(r17311); mpfr_init(r17312); mpfr_init(r17313); mpfr_init(r17314); mpfr_init(r17315); mpfr_init(r17316); mpfr_init(r17317); } double f_fm(double x, double eps) { mpfr_set_d(r17278, eps, MPFR_RNDN); ; mpfr_set_si(r17280, mpfr_cmp(r17278, r17279) <= 0, MPFR_RNDN); mpfr_set_d(r17281, x, MPFR_RNDN); mpfr_sin(r17282, r17281, MPFR_RNDN); mpfr_cos(r17283, r17278, MPFR_RNDN); mpfr_mul(r17284, r17282, r17283, MPFR_RNDN); mpfr_exp(r17285, r17284, MPFR_RNDN); mpfr_log(r17286, r17285, MPFR_RNDN); mpfr_cos(r17287, r17281, MPFR_RNDN); mpfr_sin(r17288, r17278, MPFR_RNDN); mpfr_mul(r17289, r17287, r17288, MPFR_RNDN); mpfr_sub(r17290, r17289, r17282, MPFR_RNDN); mpfr_add(r17291, r17286, r17290, MPFR_RNDN); ; mpfr_set_si(r17293, mpfr_cmp(r17278, r17292) <= 0, MPFR_RNDN); ; mpfr_mul(r17295, r17294, r17278, MPFR_RNDN); mpfr_mul(r17296, r17287, r17295, MPFR_RNDN); mpfr_mul(r17297, r17282, r17296, MPFR_RNDN); ; mpfr_mul(r17299, r17278, r17298, MPFR_RNDN); mpfr_sqr(r17300, r17278, MPFR_RNDN); mpfr_mul(r17301, r17299, r17300, MPFR_RNDN); mpfr_mul(r17302, r17287, r17282, MPFR_RNDN); mpfr_fma(r17303, r17301, r17302, r17300, MPFR_RNDN); mpfr_sub(r17304, r17297, r17303, MPFR_RNDN); mpfr_fma(r17305, r17283, r17282, r17282, MPFR_RNDN); mpfr_sub(r17306, r17305, r17289, MPFR_RNDN); mpfr_div(r17307, r17304, r17306, MPFR_RNDN); mpfr_sqr(r17308, r17284, MPFR_RNDN); mpfr_sqr(r17309, r17290, MPFR_RNDN); ; mpfr_pow(r17311, r17309, r17310, MPFR_RNDN); mpfr_sub(r17312, r17308, r17311, MPFR_RNDN); mpfr_mul(r17313, r17288, r17287, MPFR_RNDN); mpfr_sub(r17314, r17305, r17313, MPFR_RNDN); mpfr_div(r17315, r17312, r17314, MPFR_RNDN); if (mpfr_get_si(r17293, MPFR_RNDN)) { mpfr_set(r17316, r17307, MPFR_RNDN); } else { mpfr_set(r17316, r17315, MPFR_RNDN); }; if (mpfr_get_si(r17280, MPFR_RNDN)) { mpfr_set(r17317, r17291, MPFR_RNDN); } else { mpfr_set(r17317, r17316, MPFR_RNDN); }; return mpfr_get_d(r17317, MPFR_RNDN); } static mpfr_t r17318, r17319, r17320, r17321, r17322, r17323, r17324, r17325, r17326, r17327, r17328, r17329, r17330, r17331, r17332, r17333, r17334, r17335, r17336, r17337, r17338, r17339, r17340, r17341, r17342, r17343, r17344, r17345, r17346, r17347, r17348, r17349, r17350, r17351, r17352, r17353, r17354, r17355, r17356, r17357; void setup_mpfr_f_dm() { mpfr_set_default_prec(144); mpfr_init(r17318); mpfr_init_set_str(r17319, "-0.0035937247f0", 10, MPFR_RNDN); mpfr_init(r17320); mpfr_init(r17321); mpfr_init(r17322); mpfr_init(r17323); mpfr_init(r17324); mpfr_init(r17325); mpfr_init(r17326); mpfr_init(r17327); mpfr_init(r17328); mpfr_init(r17329); mpfr_init(r17330); mpfr_init(r17331); mpfr_init_set_str(r17332, "0.3662591f0", 10, MPFR_RNDN); mpfr_init(r17333); mpfr_init_set_str(r17334, "2", 10, MPFR_RNDN); mpfr_init(r17335); mpfr_init(r17336); mpfr_init(r17337); mpfr_init_set_str(r17338, "1/3", 10, MPFR_RNDN); mpfr_init(r17339); mpfr_init(r17340); mpfr_init(r17341); mpfr_init(r17342); mpfr_init(r17343); mpfr_init(r17344); mpfr_init(r17345); mpfr_init(r17346); mpfr_init(r17347); mpfr_init(r17348); mpfr_init(r17349); mpfr_init_set_str(r17350, "1", 10, MPFR_RNDN); mpfr_init(r17351); mpfr_init(r17352); mpfr_init(r17353); mpfr_init(r17354); mpfr_init(r17355); mpfr_init(r17356); mpfr_init(r17357); } double f_dm(double x, double eps) { mpfr_set_d(r17318, eps, MPFR_RNDN); ; mpfr_set_si(r17320, mpfr_cmp(r17318, r17319) <= 0, MPFR_RNDN); mpfr_set_d(r17321, x, MPFR_RNDN); mpfr_sin(r17322, r17321, MPFR_RNDN); mpfr_cos(r17323, r17318, MPFR_RNDN); mpfr_mul(r17324, r17322, r17323, MPFR_RNDN); mpfr_exp(r17325, r17324, MPFR_RNDN); mpfr_log(r17326, r17325, MPFR_RNDN); mpfr_cos(r17327, r17321, MPFR_RNDN); mpfr_sin(r17328, r17318, MPFR_RNDN); mpfr_mul(r17329, r17327, r17328, MPFR_RNDN); mpfr_sub(r17330, r17329, r17322, MPFR_RNDN); mpfr_add(r17331, r17326, r17330, MPFR_RNDN); ; mpfr_set_si(r17333, mpfr_cmp(r17318, r17332) <= 0, MPFR_RNDN); ; mpfr_mul(r17335, r17334, r17318, MPFR_RNDN); mpfr_mul(r17336, r17327, r17335, MPFR_RNDN); mpfr_mul(r17337, r17322, r17336, MPFR_RNDN); ; mpfr_mul(r17339, r17318, r17338, MPFR_RNDN); mpfr_sqr(r17340, r17318, MPFR_RNDN); mpfr_mul(r17341, r17339, r17340, MPFR_RNDN); mpfr_mul(r17342, r17327, r17322, MPFR_RNDN); mpfr_fma(r17343, r17341, r17342, r17340, MPFR_RNDN); mpfr_sub(r17344, r17337, r17343, MPFR_RNDN); mpfr_fma(r17345, r17323, r17322, r17322, MPFR_RNDN); mpfr_sub(r17346, r17345, r17329, MPFR_RNDN); mpfr_div(r17347, r17344, r17346, MPFR_RNDN); mpfr_sqr(r17348, r17324, MPFR_RNDN); mpfr_sqr(r17349, r17330, MPFR_RNDN); ; mpfr_pow(r17351, r17349, r17350, MPFR_RNDN); mpfr_sub(r17352, r17348, r17351, MPFR_RNDN); mpfr_mul(r17353, r17328, r17327, MPFR_RNDN); mpfr_sub(r17354, r17345, r17353, MPFR_RNDN); mpfr_div(r17355, r17352, r17354, MPFR_RNDN); if (mpfr_get_si(r17333, MPFR_RNDN)) { mpfr_set(r17356, r17347, MPFR_RNDN); } else { mpfr_set(r17356, r17355, MPFR_RNDN); }; if (mpfr_get_si(r17320, MPFR_RNDN)) { mpfr_set(r17357, r17331, MPFR_RNDN); } else { mpfr_set(r17357, r17356, MPFR_RNDN); }; return mpfr_get_d(r17357, MPFR_RNDN); }