#include #include #include #include #include char *name = "NMSE example 3.3"; double f_if(float x, float eps) { float r17174 = x; float r17175 = eps; float r17176 = r17174 + r17175; float r17177 = sin(r17176); float r17178 = sin(r17174); float r17179 = r17177 - r17178; return r17179; } double f_id(double x, double eps) { double r17180 = x; double r17181 = eps; double r17182 = r17180 + r17181; double r17183 = sin(r17182); double r17184 = sin(r17180); double r17185 = r17183 - r17184; return r17185; } double f_of(float x, float eps) { float r17186 = eps; float r17187 = -9.280756734832815e-07f; bool r17188 = r17186 <= r17187; float r17189 = sin(r17186); float r17190 = x; float r17191 = cos(r17190); float r17192 = r17189 * r17191; float r17193 = cos(r17186); float r17194 = sin(r17190); float r17195 = r17193 * r17194; float r17196 = r17192 + r17195; float r17197 = r17196 * (r17196 * r17196); float r17198 = r17194 * (r17194 * r17194); float r17199 = r17197 - r17198; float r17200 = r17194 * r17193; float r17201 = r17191 * r17189; float r17202 = r17200 + r17201; float r17203 = r17202 * r17202; float r17204 = r17194 * r17194; float r17205 = r17202 * r17194; float r17206 = r17204 + r17205; float r17207 = r17203 + r17206; float r17208 = r17199 / r17207; float r17209 = 1.0802375057316329e-14f; bool r17210 = r17186 <= r17209; float r17211 = r17191 * r17186; float r17212 = r17186 * r17186; float r17213 = 0.16666666666666666f; float r17214 = r17186 * r17213; float r17215 = r17191 * r17214; float r17216 = 0.5f; float r17217 = r17194 * r17216; float r17218 = r17215 + r17217; float r17219 = r17212 * r17218; float r17220 = r17211 - r17219; float r17221 = r17210 ? r17220 : r17208; float r17222 = r17188 ? r17208 : r17221; return r17222; } double f_od(double x, double eps) { double r17223 = eps; double r17224 = -9.280756734832815e-07; bool r17225 = r17223 <= r17224; double r17226 = sin(r17223); double r17227 = x; double r17228 = cos(r17227); double r17229 = r17226 * r17228; double r17230 = cos(r17223); double r17231 = sin(r17227); double r17232 = r17230 * r17231; double r17233 = r17229 + r17232; double r17234 = r17233 * (r17233 * r17233); double r17235 = r17231 * (r17231 * r17231); double r17236 = r17234 - r17235; double r17237 = r17231 * r17230; double r17238 = r17228 * r17226; double r17239 = r17237 + r17238; double r17240 = r17239 * r17239; double r17241 = r17231 * r17231; double r17242 = r17239 * r17231; double r17243 = r17241 + r17242; double r17244 = r17240 + r17243; double r17245 = r17236 / r17244; double r17246 = 1.0802375057316329e-14; bool r17247 = r17223 <= r17246; double r17248 = r17228 * r17223; double r17249 = r17223 * r17223; double r17250 = 0.16666666666666666; double r17251 = r17223 * r17250; double r17252 = r17228 * r17251; double r17253 = 0.5; double r17254 = r17231 * r17253; double r17255 = r17252 + r17254; double r17256 = r17249 * r17255; double r17257 = r17248 - r17256; double r17258 = r17247 ? r17257 : r17245; double r17259 = r17225 ? r17245 : r17258; return r17259; } 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 r17260, r17261, r17262, r17263, r17264, r17265; void setup_mpfr_f_im() { mpfr_set_default_prec(144); mpfr_init(r17260); mpfr_init(r17261); mpfr_init(r17262); mpfr_init(r17263); mpfr_init(r17264); mpfr_init(r17265); } double f_im(double x, double eps) { mpfr_set_d(r17260, x, MPFR_RNDN); mpfr_set_d(r17261, eps, MPFR_RNDN); mpfr_add(r17262, r17260, r17261, MPFR_RNDN); mpfr_sin(r17263, r17262, MPFR_RNDN); mpfr_sin(r17264, r17260, MPFR_RNDN); mpfr_sub(r17265, r17263, r17264, MPFR_RNDN); return mpfr_get_d(r17265, MPFR_RNDN); } static mpfr_t r17266, r17267, r17268, r17269, r17270, r17271, r17272, r17273, r17274, r17275, r17276, r17277, 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; void setup_mpfr_f_fm() { mpfr_set_default_prec(144); mpfr_init(r17266); mpfr_init_set_str(r17267, "-9.280756734832815e-07", 10, MPFR_RNDN); mpfr_init(r17268); mpfr_init(r17269); mpfr_init(r17270); mpfr_init(r17271); mpfr_init(r17272); mpfr_init(r17273); mpfr_init(r17274); mpfr_init(r17275); mpfr_init(r17276); mpfr_init(r17277); mpfr_init(r17278); mpfr_init(r17279); 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_set_str(r17289, "1.0802375057316329e-14", 10, MPFR_RNDN); mpfr_init(r17290); mpfr_init(r17291); mpfr_init(r17292); mpfr_init_set_str(r17293, "1/6", 10, MPFR_RNDN); mpfr_init(r17294); mpfr_init(r17295); mpfr_init_set_str(r17296, "1/2", 10, MPFR_RNDN); mpfr_init(r17297); mpfr_init(r17298); mpfr_init(r17299); mpfr_init(r17300); mpfr_init(r17301); mpfr_init(r17302); } double f_fm(double x, double eps) { mpfr_set_d(r17266, eps, MPFR_RNDN); ; mpfr_set_si(r17268, mpfr_cmp(r17266, r17267) <= 0, MPFR_RNDN); mpfr_sin(r17269, r17266, MPFR_RNDN); mpfr_set_d(r17270, x, MPFR_RNDN); mpfr_cos(r17271, r17270, MPFR_RNDN); mpfr_mul(r17272, r17269, r17271, MPFR_RNDN); mpfr_cos(r17273, r17266, MPFR_RNDN); mpfr_sin(r17274, r17270, MPFR_RNDN); mpfr_mul(r17275, r17273, r17274, MPFR_RNDN); mpfr_add(r17276, r17272, r17275, MPFR_RNDN); mpfr_mul(r17277, r17276, r17276, MPFR_RNDN); mpfr_mul(r17277, r17277, r17276, MPFR_RNDN); mpfr_mul(r17278, r17274, r17274, MPFR_RNDN); mpfr_mul(r17278, r17278, r17274, MPFR_RNDN); mpfr_sub(r17279, r17277, r17278, MPFR_RNDN); mpfr_mul(r17280, r17274, r17273, MPFR_RNDN); mpfr_mul(r17281, r17271, r17269, MPFR_RNDN); mpfr_add(r17282, r17280, r17281, MPFR_RNDN); mpfr_sqr(r17283, r17282, MPFR_RNDN); mpfr_sqr(r17284, r17274, MPFR_RNDN); mpfr_mul(r17285, r17282, r17274, MPFR_RNDN); mpfr_add(r17286, r17284, r17285, MPFR_RNDN); mpfr_add(r17287, r17283, r17286, MPFR_RNDN); mpfr_div(r17288, r17279, r17287, MPFR_RNDN); ; mpfr_set_si(r17290, mpfr_cmp(r17266, r17289) <= 0, MPFR_RNDN); mpfr_mul(r17291, r17271, r17266, MPFR_RNDN); mpfr_sqr(r17292, r17266, MPFR_RNDN); ; mpfr_mul(r17294, r17266, r17293, MPFR_RNDN); mpfr_mul(r17295, r17271, r17294, MPFR_RNDN); ; mpfr_mul(r17297, r17274, r17296, MPFR_RNDN); mpfr_add(r17298, r17295, r17297, MPFR_RNDN); mpfr_mul(r17299, r17292, r17298, MPFR_RNDN); mpfr_sub(r17300, r17291, r17299, MPFR_RNDN); if (mpfr_get_si(r17290, MPFR_RNDN)) { mpfr_set(r17301, r17300, MPFR_RNDN); } else { mpfr_set(r17301, r17288, MPFR_RNDN); }; if (mpfr_get_si(r17268, MPFR_RNDN)) { mpfr_set(r17302, r17288, MPFR_RNDN); } else { mpfr_set(r17302, r17301, MPFR_RNDN); }; return mpfr_get_d(r17302, MPFR_RNDN); } static mpfr_t r17303, r17304, r17305, r17306, r17307, r17308, r17309, r17310, r17311, r17312, r17313, r17314, r17315, r17316, r17317, r17318, r17319, r17320, r17321, r17322, r17323, r17324, r17325, r17326, r17327, r17328, r17329, r17330, r17331, r17332, r17333, r17334, r17335, r17336, r17337, r17338, r17339; void setup_mpfr_f_dm() { mpfr_set_default_prec(144); mpfr_init(r17303); mpfr_init_set_str(r17304, "-9.280756734832815e-07", 10, MPFR_RNDN); mpfr_init(r17305); mpfr_init(r17306); mpfr_init(r17307); mpfr_init(r17308); mpfr_init(r17309); mpfr_init(r17310); mpfr_init(r17311); mpfr_init(r17312); mpfr_init(r17313); mpfr_init(r17314); mpfr_init(r17315); mpfr_init(r17316); mpfr_init(r17317); mpfr_init(r17318); mpfr_init(r17319); mpfr_init(r17320); mpfr_init(r17321); mpfr_init(r17322); mpfr_init(r17323); mpfr_init(r17324); mpfr_init(r17325); mpfr_init_set_str(r17326, "1.0802375057316329e-14", 10, MPFR_RNDN); mpfr_init(r17327); mpfr_init(r17328); mpfr_init(r17329); mpfr_init_set_str(r17330, "1/6", 10, MPFR_RNDN); mpfr_init(r17331); mpfr_init(r17332); mpfr_init_set_str(r17333, "1/2", 10, MPFR_RNDN); mpfr_init(r17334); mpfr_init(r17335); mpfr_init(r17336); mpfr_init(r17337); mpfr_init(r17338); mpfr_init(r17339); } double f_dm(double x, double eps) { mpfr_set_d(r17303, eps, MPFR_RNDN); ; mpfr_set_si(r17305, mpfr_cmp(r17303, r17304) <= 0, MPFR_RNDN); mpfr_sin(r17306, r17303, MPFR_RNDN); mpfr_set_d(r17307, x, MPFR_RNDN); mpfr_cos(r17308, r17307, MPFR_RNDN); mpfr_mul(r17309, r17306, r17308, MPFR_RNDN); mpfr_cos(r17310, r17303, MPFR_RNDN); mpfr_sin(r17311, r17307, MPFR_RNDN); mpfr_mul(r17312, r17310, r17311, MPFR_RNDN); mpfr_add(r17313, r17309, r17312, MPFR_RNDN); mpfr_mul(r17314, r17313, r17313, MPFR_RNDN); mpfr_mul(r17314, r17314, r17313, MPFR_RNDN); mpfr_mul(r17315, r17311, r17311, MPFR_RNDN); mpfr_mul(r17315, r17315, r17311, MPFR_RNDN); mpfr_sub(r17316, r17314, r17315, MPFR_RNDN); mpfr_mul(r17317, r17311, r17310, MPFR_RNDN); mpfr_mul(r17318, r17308, r17306, MPFR_RNDN); mpfr_add(r17319, r17317, r17318, MPFR_RNDN); mpfr_sqr(r17320, r17319, MPFR_RNDN); mpfr_sqr(r17321, r17311, MPFR_RNDN); mpfr_mul(r17322, r17319, r17311, MPFR_RNDN); mpfr_add(r17323, r17321, r17322, MPFR_RNDN); mpfr_add(r17324, r17320, r17323, MPFR_RNDN); mpfr_div(r17325, r17316, r17324, MPFR_RNDN); ; mpfr_set_si(r17327, mpfr_cmp(r17303, r17326) <= 0, MPFR_RNDN); mpfr_mul(r17328, r17308, r17303, MPFR_RNDN); mpfr_sqr(r17329, r17303, MPFR_RNDN); ; mpfr_mul(r17331, r17303, r17330, MPFR_RNDN); mpfr_mul(r17332, r17308, r17331, MPFR_RNDN); ; mpfr_mul(r17334, r17311, r17333, MPFR_RNDN); mpfr_add(r17335, r17332, r17334, MPFR_RNDN); mpfr_mul(r17336, r17329, r17335, MPFR_RNDN); mpfr_sub(r17337, r17328, r17336, MPFR_RNDN); if (mpfr_get_si(r17327, MPFR_RNDN)) { mpfr_set(r17338, r17337, MPFR_RNDN); } else { mpfr_set(r17338, r17325, MPFR_RNDN); }; if (mpfr_get_si(r17305, MPFR_RNDN)) { mpfr_set(r17339, r17325, MPFR_RNDN); } else { mpfr_set(r17339, r17338, MPFR_RNDN); }; return mpfr_get_d(r17339, MPFR_RNDN); }