fmcTitle("tp099")$
/* Source version 1 */
/* Simple APM canonicalizer version 1.3 */
/* FMCMAC backend version 1.2 */
myownabs(x) := fmc_m_abs(x)$
a_1 : 0$
a_2 : 50$
a_3 : 50$
a_4 : 75$
a_5 : 75$
a_6 : 75$
a_7 : 100$
a_8 : 100$
b : 32$
t_1 : 0$
t_2 : 25$
t_3 : 50$
t_4 : 100$
t_5 : 150$
t_6 : 200$
t_7 : 290$
t_8 : 380$
s_1 : 0$
q_1 : 0$
r_1 : 0$
fmcInitialValue(x_1, 0.5b0)$
fmcStrongLowerBound(x_1, 0)$
fmcStrongUpperBound(x_1, 1.58b0)$
fmcInitialValue(x_2, 0.5b0)$
fmcStrongLowerBound(x_2, 0)$
fmcStrongUpperBound(x_2, 1.58b0)$
fmcInitialValue(x_3, 0.5b0)$
fmcStrongLowerBound(x_3, 0)$
fmcStrongUpperBound(x_3, 1.58b0)$
fmcInitialValue(x_4, 0.5b0)$
fmcStrongLowerBound(x_4, 0)$
fmcStrongUpperBound(x_4, 1.58b0)$
fmcInitialValue(x_5, 0.5b0)$
fmcStrongLowerBound(x_5, 0)$
fmcStrongUpperBound(x_5, 1.58b0)$
fmcInitialValue(x_6, 0.5b0)$
fmcStrongLowerBound(x_6, 0)$
fmcStrongUpperBound(x_6, 1.58b0)$
fmcInitialValue(x_7, 0.5b0)$
fmcStrongLowerBound(x_7, 0)$
fmcStrongUpperBound(x_7, 1.58b0)$
s_2 : s_1 + (t_2 - t_1)*(a_2*sin(x_1) - b)$
s_3 : s_2 + (t_3 - t_2)*(a_3*sin(x_2) - b)$
s_4 : s_3 + (t_4 - t_3)*(a_4*sin(x_3) - b)$
s_5 : s_4 + (t_5 - t_4)*(a_5*sin(x_4) - b)$
s_6 : s_5 + (t_6 - t_5)*(a_6*sin(x_5) - b)$
s_7 : s_6 + (t_7 - t_6)*(a_7*sin(x_6) - b)$
s_8 : s_7 + (t_8 - t_7)*(a_8*sin(x_7) - b)$
q_2 : q_1 + 0.5b0*(t_2 - t_1)^2*(a_2*sin(x_1) - b) + (t_2 - t_1)*s_1$
q_3 : q_2 + 0.5b0*(t_3 - t_2)^2*(a_3*sin(x_2) - b) + (t_3 - t_2)*s_2$
q_4 : q_3 + 0.5b0*(t_4 - t_3)^2*(a_4*sin(x_3) - b) + (t_4 - t_3)*s_3$
q_5 : q_4 + 0.5b0*(t_5 - t_4)^2*(a_5*sin(x_4) - b) + (t_5 - t_4)*s_4$
q_6 : q_5 + 0.5b0*(t_6 - t_5)^2*(a_6*sin(x_5) - b) + (t_6 - t_5)*s_5$
q_7 : q_6 + 0.5b0*(t_7 - t_6)^2*(a_7*sin(x_6) - b) + (t_7 - t_6)*s_6$
q_8 : q_7 + 0.5b0*(t_8 - t_7)^2*(a_8*sin(x_7) - b) + (t_8 - t_7)*s_7$
c_1 : q_8 - 100000$
c_2 : s_8 - 1000$
r_2 : r_1 + a_2*(t_2 - t_1)*cos(x_1)$
r_3 : r_2 + a_3*(t_3 - t_2)*cos(x_2)$
r_4 : r_3 + a_4*(t_4 - t_3)*cos(x_3)$
r_5 : r_4 + a_5*(t_5 - t_4)*cos(x_4)$
r_6 : r_5 + a_6*(t_6 - t_5)*cos(x_5)$
r_7 : r_6 + a_7*(t_7 - t_6)*cos(x_6)$
r_8 : r_7 + a_8*(t_8 - t_7)*cos(x_7)$
mf : -r_8^2$
myminfun : mf$
myabsdevnod0_0 : myownabs(myminfun + 831079891.5101075b0)$
myreldevnod0_0 : myownabs(myminfun/831079891.5101075b0 + 1)$
myabsdevnod0_1 : myownabs(x_1 - 0.542467816212317b0)$
myreldevnod0_1 : myownabs(x_1/0.542467816212317b0 - 1)$
myabsdevnod0_2 : myownabs(x_2 - 0.5290214242019767b0)$
myreldevnod0_2 : myownabs(x_2/0.5290214242019767b0 - 1)$
myabsdevnod0_3 : myownabs(x_3 - 0.5084491553164001b0)$
myreldevnod0_3 : myownabs(x_3/0.5084491553164001b0 - 1)$
myabsdevnod0_4 : myownabs(x_4 - 0.4802688509618159b0)$
myreldevnod0_4 : myownabs(x_4/0.4802688509618159b0 - 1)$
myabsdevnod0_5 : myownabs(x_5 - 0.4512363497966467b0)$
myreldevnod0_5 : myownabs(x_5/0.4512363497966467b0 - 1)$
myabsdevnod0_6 : myownabs(x_6 - 0.4091830824209853b0)$
myreldevnod0_6 : myownabs(x_6/0.4091830824209853b0 - 1)$
myabsdevnod0_7 : myownabs(x_7 - 0.3527878917811228b0)$
myreldevnod0_7 : myownabs(x_7/0.3527878917811228b0 - 1)$
myabsdevnod1_0 : (1/2)*(myownabs(myabsdevnod0_0 - myabsdevnod0_1) + (myabsdevnod0_0 + myabsdevnod0_1))$
myreldevnod1_0 : (1/2)*(myownabs(myreldevnod0_0 - myreldevnod0_1) + (myreldevnod0_0 + myreldevnod0_1))$
myabsdevnod1_2 : (1/2)*(myownabs(myabsdevnod0_2 - myabsdevnod0_3) + (myabsdevnod0_2 + myabsdevnod0_3))$
myreldevnod1_2 : (1/2)*(myownabs(myreldevnod0_2 - myreldevnod0_3) + (myreldevnod0_2 + myreldevnod0_3))$
myabsdevnod1_4 : (1/2)*(myownabs(myabsdevnod0_4 - myabsdevnod0_5) + (myabsdevnod0_4 + myabsdevnod0_5))$
myreldevnod1_4 : (1/2)*(myownabs(myreldevnod0_4 - myreldevnod0_5) + (myreldevnod0_4 + myreldevnod0_5))$
myabsdevnod1_6 : (1/2)*(myownabs(myabsdevnod0_6 - myabsdevnod0_7) + (myabsdevnod0_6 + myabsdevnod0_7))$
myreldevnod1_6 : (1/2)*(myownabs(myreldevnod0_6 - myreldevnod0_7) + (myreldevnod0_6 + myreldevnod0_7))$
myabsdevnod2_0 : (1/2)*(myownabs(myabsdevnod1_0 - myabsdevnod1_2) + (myabsdevnod1_0 + myabsdevnod1_2))$
myreldevnod2_0 : (1/2)*(myownabs(myreldevnod1_0 - myreldevnod1_2) + (myreldevnod1_0 + myreldevnod1_2))$
myabsdevnod2_4 : (1/2)*(myownabs(myabsdevnod1_4 - myabsdevnod1_6) + (myabsdevnod1_4 + myabsdevnod1_6))$
myreldevnod2_4 : (1/2)*(myownabs(myreldevnod1_4 - myreldevnod1_6) + (myreldevnod1_4 + myreldevnod1_6))$
myabsdevnod3_0 : (1/2)*(myownabs(myabsdevnod2_0 - myabsdevnod2_4) + (myabsdevnod2_0 + myabsdevnod2_4))$
myreldevnod3_0 : (1/2)*(myownabs(myreldevnod2_0 - myreldevnod2_4) + (myreldevnod2_0 + myreldevnod2_4))$
zmyabsdevmax : myabsdevnod3_0$
zmyreldevmax : myreldevnod3_0$
obj : myminfun$
fmcMinimum(obj)$
fmcEquality(ce_1, c_1)$
fmcEquality(ce_2, c_2)$
fmcEscortFloat(x_1, x_1)$
fmcEscortFloat(x_2, x_2)$
fmcEscortFloat(x_3, x_3)$
fmcEscortFloat(x_4, x_4)$
fmcEscortFloat(x_5, x_5)$
fmcEscortFloat(x_6, x_6)$
fmcEscortFloat(x_7, x_7)$
fmcEscortFloat('myminfun, myminfun)$
fmcEscortFloat('zmyabsdevmax, zmyabsdevmax)$
fmcEscortFloat('zmyreldevmax, zmyreldevmax)$
fmcControlMinimum(1, 0)$
/* End Model */