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* NLP written by GAMS Convert at 11/29/04 16:20:29 * * Equation counts * Total E G L N X C * 1 1 0 0 0 0 0 * * Variable counts * x b i s1s s2s sc si * Total cont binary integer sos1 sos2 scont sint * 31 31 0 0 0 0 0 0 * FX 0 0 0 0 0 0 0 0 * * Nonzero counts * Total const NL DLL * 31 1 30 0 * * Solve m using NLP minimizing objvar; Variables x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16,x17,x18,x19 ,x20,x21,x22,x23,x24,x25,x26,x27,x28,x29,x30,objvar; Positive Variables x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16,x17 ,x18,x19,x20,x21,x22,x23,x24,x25,x26,x27,x28,x29,x30; Equations e1; e1.. log(1e-5 + sqr(cos(x1)*sin(x16) - cos(x2)*sin(x17)) + sqr(sin(x1)*sin(x16) - sin(x2)*sin(x17)) + sqr(cos(x16) - cos(x17))) + log(1e-5 + sqr(cos(x1)* sin(x16) - cos(x3)*sin(x18)) + sqr(sin(x1)*sin(x16) - sin(x3)*sin(x18)) + sqr(cos(x16) - cos(x18))) + log(1e-5 + sqr(cos(x1)*sin(x16) - cos(x4)*sin( x19)) + sqr(sin(x1)*sin(x16) - sin(x4)*sin(x19)) + sqr(cos(x16) - cos(x19) )) + log(1e-5 + sqr(cos(x1)*sin(x16) - cos(x5)*sin(x20)) + sqr(sin(x1)* sin(x16) - sin(x5)*sin(x20)) + sqr(cos(x16) - cos(x20))) + log(1e-5 + sqr( cos(x1)*sin(x16) - cos(x6)*sin(x21)) + sqr(sin(x1)*sin(x16) - sin(x6)*sin( x21)) + sqr(cos(x16) - cos(x21))) + log(1e-5 + sqr(cos(x1)*sin(x16) - cos( x7)*sin(x22)) + sqr(sin(x1)*sin(x16) - sin(x7)*sin(x22)) + sqr(cos(x16) - cos(x22))) + log(1e-5 + sqr(cos(x1)*sin(x16) - cos(x8)*sin(x23)) + sqr( sin(x1)*sin(x16) - sin(x8)*sin(x23)) + sqr(cos(x16) - cos(x23))) + log( 1e-5 + sqr(cos(x1)*sin(x16) - cos(x9)*sin(x24)) + sqr(sin(x1)*sin(x16) - sin(x9)*sin(x24)) + sqr(cos(x16) - cos(x24))) + log(1e-5 + sqr(cos(x1)* sin(x16) - cos(x10)*sin(x25)) + sqr(sin(x1)*sin(x16) - sin(x10)*sin(x25)) + sqr(cos(x16) - cos(x25))) + log(1e-5 + sqr(cos(x1)*sin(x16) - cos(x11)* sin(x26)) + sqr(sin(x1)*sin(x16) - sin(x11)*sin(x26)) + sqr(cos(x16) - cos(x26))) + log(1e-5 + sqr(cos(x1)*sin(x16) - cos(x12)*sin(x27)) + sqr( sin(x1)*sin(x16) - sin(x12)*sin(x27)) + sqr(cos(x16) - cos(x27))) + log( 1e-5 + sqr(cos(x1)*sin(x16) - cos(x13)*sin(x28)) + sqr(sin(x1)*sin(x16) - sin(x13)*sin(x28)) + sqr(cos(x16) - cos(x28))) + log(1e-5 + sqr(cos(x1)* sin(x16) - cos(x14)*sin(x29)) + sqr(sin(x1)*sin(x16) - sin(x14)*sin(x29)) + sqr(cos(x16) - cos(x29))) + log(1e-5 + sqr(cos(x1)*sin(x16) - cos(x15)* sin(x30)) + sqr(sin(x1)*sin(x16) - sin(x15)*sin(x30)) + sqr(cos(x16) - cos(x30))) + log(1e-5 + sqr(cos(x2)*sin(x17) - cos(x3)*sin(x18)) + sqr( sin(x2)*sin(x17) - sin(x3)*sin(x18)) + sqr(cos(x17) - cos(x18))) + log( 1e-5 + sqr(cos(x2)*sin(x17) - cos(x4)*sin(x19)) + sqr(sin(x2)*sin(x17) - sin(x4)*sin(x19)) + sqr(cos(x17) - cos(x19))) + log(1e-5 + sqr(cos(x2)* sin(x17) - cos(x5)*sin(x20)) + sqr(sin(x2)*sin(x17) - sin(x5)*sin(x20)) + sqr(cos(x17) - cos(x20))) + log(1e-5 + sqr(cos(x2)*sin(x17) - cos(x6)*sin( x21)) + sqr(sin(x2)*sin(x17) - sin(x6)*sin(x21)) + sqr(cos(x17) - cos(x21) )) + log(1e-5 + sqr(cos(x2)*sin(x17) - cos(x7)*sin(x22)) + sqr(sin(x2)* sin(x17) - sin(x7)*sin(x22)) + sqr(cos(x17) - cos(x22))) + log(1e-5 + sqr( cos(x2)*sin(x17) - cos(x8)*sin(x23)) + sqr(sin(x2)*sin(x17) - sin(x8)*sin( x23)) + sqr(cos(x17) - cos(x23))) + log(1e-5 + sqr(cos(x2)*sin(x17) - cos( x9)*sin(x24)) + sqr(sin(x2)*sin(x17) - sin(x9)*sin(x24)) + sqr(cos(x17) - cos(x24))) + log(1e-5 + sqr(cos(x2)*sin(x17) - cos(x10)*sin(x25)) + sqr( sin(x2)*sin(x17) - sin(x10)*sin(x25)) + sqr(cos(x17) - cos(x25))) + log( 1e-5 + sqr(cos(x2)*sin(x17) - cos(x11)*sin(x26)) + sqr(sin(x2)*sin(x17) - sin(x11)*sin(x26)) + sqr(cos(x17) - cos(x26))) + log(1e-5 + sqr(cos(x2)* sin(x17) - cos(x12)*sin(x27)) + sqr(sin(x2)*sin(x17) - sin(x12)*sin(x27)) + sqr(cos(x17) - cos(x27))) + log(1e-5 + sqr(cos(x2)*sin(x17) - cos(x13)* sin(x28)) + sqr(sin(x2)*sin(x17) - sin(x13)*sin(x28)) + sqr(cos(x17) - cos(x28))) + log(1e-5 + sqr(cos(x2)*sin(x17) - cos(x14)*sin(x29)) + sqr( sin(x2)*sin(x17) - sin(x14)*sin(x29)) + sqr(cos(x17) - cos(x29))) + log( 1e-5 + sqr(cos(x2)*sin(x17) - cos(x15)*sin(x30)) + sqr(sin(x2)*sin(x17) - sin(x15)*sin(x30)) + sqr(cos(x17) - cos(x30))) + log(1e-5 + sqr(cos(x3)* sin(x18) - cos(x4)*sin(x19)) + sqr(sin(x3)*sin(x18) - sin(x4)*sin(x19)) + sqr(cos(x18) - cos(x19))) + log(1e-5 + sqr(cos(x3)*sin(x18) - cos(x5)*sin( x20)) + sqr(sin(x3)*sin(x18) - sin(x5)*sin(x20)) + sqr(cos(x18) - cos(x20) )) + log(1e-5 + sqr(cos(x3)*sin(x18) - cos(x6)*sin(x21)) + sqr(sin(x3)* sin(x18) - sin(x6)*sin(x21)) + sqr(cos(x18) - cos(x21))) + log(1e-5 + sqr( cos(x3)*sin(x18) - cos(x7)*sin(x22)) + sqr(sin(x3)*sin(x18) - sin(x7)*sin( x22)) + sqr(cos(x18) - cos(x22))) + log(1e-5 + sqr(cos(x3)*sin(x18) - cos( x8)*sin(x23)) + sqr(sin(x3)*sin(x18) - sin(x8)*sin(x23)) + sqr(cos(x18) - cos(x23))) + log(1e-5 + sqr(cos(x3)*sin(x18) - cos(x9)*sin(x24)) + sqr( sin(x3)*sin(x18) - sin(x9)*sin(x24)) + sqr(cos(x18) - cos(x24))) + log( 1e-5 + sqr(cos(x3)*sin(x18) - cos(x10)*sin(x25)) + sqr(sin(x3)*sin(x18) - sin(x10)*sin(x25)) + sqr(cos(x18) - cos(x25))) + log(1e-5 + sqr(cos(x3)* sin(x18) - cos(x11)*sin(x26)) + sqr(sin(x3)*sin(x18) - sin(x11)*sin(x26)) + sqr(cos(x18) - cos(x26))) + log(1e-5 + sqr(cos(x3)*sin(x18) - cos(x12)* sin(x27)) + sqr(sin(x3)*sin(x18) - sin(x12)*sin(x27)) + sqr(cos(x18) - cos(x27))) + log(1e-5 + sqr(cos(x3)*sin(x18) - cos(x13)*sin(x28)) + sqr( sin(x3)*sin(x18) - sin(x13)*sin(x28)) + sqr(cos(x18) - cos(x28))) + log( 1e-5 + sqr(cos(x3)*sin(x18) - cos(x14)*sin(x29)) + sqr(sin(x3)*sin(x18) - sin(x14)*sin(x29)) + sqr(cos(x18) - cos(x29))) + log(1e-5 + sqr(cos(x3)* sin(x18) - cos(x15)*sin(x30)) + sqr(sin(x3)*sin(x18) - sin(x15)*sin(x30)) + sqr(cos(x18) - cos(x30))) + log(1e-5 + sqr(cos(x4)*sin(x19) - cos(x5)* sin(x20)) + sqr(sin(x4)*sin(x19) - sin(x5)*sin(x20)) + sqr(cos(x19) - cos( x20))) + log(1e-5 + sqr(cos(x4)*sin(x19) - cos(x6)*sin(x21)) + sqr(sin(x4) *sin(x19) - sin(x6)*sin(x21)) + sqr(cos(x19) - cos(x21))) + log(1e-5 + sqr(cos(x4)*sin(x19) - cos(x7)*sin(x22)) + sqr(sin(x4)*sin(x19) - sin(x7)* sin(x22)) + sqr(cos(x19) - cos(x22))) + log(1e-5 + sqr(cos(x4)*sin(x19) - cos(x8)*sin(x23)) + sqr(sin(x4)*sin(x19) - sin(x8)*sin(x23)) + sqr(cos(x19 ) - cos(x23))) + log(1e-5 + sqr(cos(x4)*sin(x19) - cos(x9)*sin(x24)) + sqr(sin(x4)*sin(x19) - sin(x9)*sin(x24)) + sqr(cos(x19) - cos(x24))) + log(1e-5 + sqr(cos(x4)*sin(x19) - cos(x10)*sin(x25)) + sqr(sin(x4)*sin(x19 ) - sin(x10)*sin(x25)) + sqr(cos(x19) - cos(x25))) + log(1e-5 + sqr(cos(x4 )*sin(x19) - cos(x11)*sin(x26)) + sqr(sin(x4)*sin(x19) - sin(x11)*sin(x26) ) + sqr(cos(x19) - cos(x26))) + log(1e-5 + sqr(cos(x4)*sin(x19) - cos(x12) *sin(x27)) + sqr(sin(x4)*sin(x19) - sin(x12)*sin(x27)) + sqr(cos(x19) - cos(x27))) + log(1e-5 + sqr(cos(x4)*sin(x19) - cos(x13)*sin(x28)) + sqr( sin(x4)*sin(x19) - sin(x13)*sin(x28)) + sqr(cos(x19) - cos(x28))) + log( 1e-5 + sqr(cos(x4)*sin(x19) - cos(x14)*sin(x29)) + sqr(sin(x4)*sin(x19) - sin(x14)*sin(x29)) + sqr(cos(x19) - cos(x29))) + log(1e-5 + sqr(cos(x4)* sin(x19) - cos(x15)*sin(x30)) + sqr(sin(x4)*sin(x19) - sin(x15)*sin(x30)) + sqr(cos(x19) - cos(x30))) + log(1e-5 + sqr(cos(x5)*sin(x20) - cos(x6)* sin(x21)) + sqr(sin(x5)*sin(x20) - sin(x6)*sin(x21)) + sqr(cos(x20) - cos( x21))) + log(1e-5 + sqr(cos(x5)*sin(x20) - cos(x7)*sin(x22)) + sqr(sin(x5) *sin(x20) - sin(x7)*sin(x22)) + sqr(cos(x20) - cos(x22))) + log(1e-5 + sqr(cos(x5)*sin(x20) - cos(x8)*sin(x23)) + sqr(sin(x5)*sin(x20) - sin(x8)* sin(x23)) + sqr(cos(x20) - cos(x23))) + log(1e-5 + sqr(cos(x5)*sin(x20) - cos(x9)*sin(x24)) + sqr(sin(x5)*sin(x20) - sin(x9)*sin(x24)) + sqr(cos(x20 ) - cos(x24))) + log(1e-5 + sqr(cos(x5)*sin(x20) - cos(x10)*sin(x25)) + sqr(sin(x5)*sin(x20) - sin(x10)*sin(x25)) + sqr(cos(x20) - cos(x25))) + log(1e-5 + sqr(cos(x5)*sin(x20) - cos(x11)*sin(x26)) + sqr(sin(x5)*sin(x20 ) - sin(x11)*sin(x26)) + sqr(cos(x20) - cos(x26))) + log(1e-5 + sqr(cos(x5 )*sin(x20) - cos(x12)*sin(x27)) + sqr(sin(x5)*sin(x20) - sin(x12)*sin(x27) ) + sqr(cos(x20) - cos(x27))) + log(1e-5 + sqr(cos(x5)*sin(x20) - cos(x13) *sin(x28)) + sqr(sin(x5)*sin(x20) - sin(x13)*sin(x28)) + sqr(cos(x20) - cos(x28))) + log(1e-5 + sqr(cos(x5)*sin(x20) - cos(x14)*sin(x29)) + sqr( sin(x5)*sin(x20) - sin(x14)*sin(x29)) + sqr(cos(x20) - cos(x29))) + log( 1e-5 + sqr(cos(x5)*sin(x20) - cos(x15)*sin(x30)) + sqr(sin(x5)*sin(x20) - sin(x15)*sin(x30)) + sqr(cos(x20) - cos(x30))) + log(1e-5 + sqr(cos(x6)* sin(x21) - cos(x7)*sin(x22)) + sqr(sin(x6)*sin(x21) - sin(x7)*sin(x22)) + sqr(cos(x21) - cos(x22))) + log(1e-5 + sqr(cos(x6)*sin(x21) - cos(x8)*sin( x23)) + sqr(sin(x6)*sin(x21) - sin(x8)*sin(x23)) + sqr(cos(x21) - cos(x23) )) + log(1e-5 + sqr(cos(x6)*sin(x21) - cos(x9)*sin(x24)) + sqr(sin(x6)* sin(x21) - sin(x9)*sin(x24)) + sqr(cos(x21) - cos(x24))) + log(1e-5 + sqr( cos(x6)*sin(x21) - cos(x10)*sin(x25)) + sqr(sin(x6)*sin(x21) - sin(x10)* sin(x25)) + sqr(cos(x21) - cos(x25))) + log(1e-5 + sqr(cos(x6)*sin(x21) - cos(x11)*sin(x26)) + sqr(sin(x6)*sin(x21) - sin(x11)*sin(x26)) + sqr(cos( x21) - cos(x26))) + log(1e-5 + sqr(cos(x6)*sin(x21) - cos(x12)*sin(x27)) + sqr(sin(x6)*sin(x21) - sin(x12)*sin(x27)) + sqr(cos(x21) - cos(x27))) + log(1e-5 + sqr(cos(x6)*sin(x21) - cos(x13)*sin(x28)) + sqr(sin(x6)*sin( x21) - sin(x13)*sin(x28)) + sqr(cos(x21) - cos(x28))) + log(1e-5 + sqr( cos(x6)*sin(x21) - cos(x14)*sin(x29)) + sqr(sin(x6)*sin(x21) - sin(x14)* sin(x29)) + sqr(cos(x21) - cos(x29))) + log(1e-5 + sqr(cos(x6)*sin(x21) - cos(x15)*sin(x30)) + sqr(sin(x6)*sin(x21) - sin(x15)*sin(x30)) + sqr(cos( x21) - cos(x30))) + log(1e-5 + sqr(cos(x7)*sin(x22) - cos(x8)*sin(x23)) + sqr(sin(x7)*sin(x22) - sin(x8)*sin(x23)) + sqr(cos(x22) - cos(x23))) + log(1e-5 + sqr(cos(x7)*sin(x22) - cos(x9)*sin(x24)) + sqr(sin(x7)*sin(x22) - sin(x9)*sin(x24)) + sqr(cos(x22) - cos(x24))) + log(1e-5 + sqr(cos(x7)* sin(x22) - cos(x10)*sin(x25)) + sqr(sin(x7)*sin(x22) - sin(x10)*sin(x25)) + sqr(cos(x22) - cos(x25))) + log(1e-5 + sqr(cos(x7)*sin(x22) - cos(x11)* sin(x26)) + sqr(sin(x7)*sin(x22) - sin(x11)*sin(x26)) + sqr(cos(x22) - cos(x26))) + log(1e-5 + sqr(cos(x7)*sin(x22) - cos(x12)*sin(x27)) + sqr( sin(x7)*sin(x22) - sin(x12)*sin(x27)) + sqr(cos(x22) - cos(x27))) + log( 1e-5 + sqr(cos(x7)*sin(x22) - cos(x13)*sin(x28)) + sqr(sin(x7)*sin(x22) - sin(x13)*sin(x28)) + sqr(cos(x22) - cos(x28))) + log(1e-5 + sqr(cos(x7)* sin(x22) - cos(x14)*sin(x29)) + sqr(sin(x7)*sin(x22) - sin(x14)*sin(x29)) + sqr(cos(x22) - cos(x29))) + log(1e-5 + sqr(cos(x7)*sin(x22) - cos(x15)* sin(x30)) + sqr(sin(x7)*sin(x22) - sin(x15)*sin(x30)) + sqr(cos(x22) - cos(x30))) + log(1e-5 + sqr(cos(x8)*sin(x23) - cos(x9)*sin(x24)) + sqr( sin(x8)*sin(x23) - sin(x9)*sin(x24)) + sqr(cos(x23) - cos(x24))) + log( 1e-5 + sqr(cos(x8)*sin(x23) - cos(x10)*sin(x25)) + sqr(sin(x8)*sin(x23) - sin(x10)*sin(x25)) + sqr(cos(x23) - cos(x25))) + log(1e-5 + sqr(cos(x8)* sin(x23) - cos(x11)*sin(x26)) + sqr(sin(x8)*sin(x23) - sin(x11)*sin(x26)) + sqr(cos(x23) - cos(x26))) + log(1e-5 + sqr(cos(x8)*sin(x23) - cos(x12)* sin(x27)) + sqr(sin(x8)*sin(x23) - sin(x12)*sin(x27)) + sqr(cos(x23) - cos(x27))) + log(1e-5 + sqr(cos(x8)*sin(x23) - cos(x13)*sin(x28)) + sqr( sin(x8)*sin(x23) - sin(x13)*sin(x28)) + sqr(cos(x23) - cos(x28))) + log( 1e-5 + sqr(cos(x8)*sin(x23) - cos(x14)*sin(x29)) + sqr(sin(x8)*sin(x23) - sin(x14)*sin(x29)) + sqr(cos(x23) - cos(x29))) + log(1e-5 + sqr(cos(x8)* sin(x23) - cos(x15)*sin(x30)) + sqr(sin(x8)*sin(x23) - sin(x15)*sin(x30)) + sqr(cos(x23) - cos(x30))) + log(1e-5 + sqr(cos(x9)*sin(x24) - cos(x10)* sin(x25)) + sqr(sin(x9)*sin(x24) - sin(x10)*sin(x25)) + sqr(cos(x24) - cos(x25))) + log(1e-5 + sqr(cos(x9)*sin(x24) - cos(x11)*sin(x26)) + sqr( sin(x9)*sin(x24) - sin(x11)*sin(x26)) + sqr(cos(x24) - cos(x26))) + log( 1e-5 + sqr(cos(x9)*sin(x24) - cos(x12)*sin(x27)) + sqr(sin(x9)*sin(x24) - sin(x12)*sin(x27)) + sqr(cos(x24) - cos(x27))) + log(1e-5 + sqr(cos(x9)* sin(x24) - cos(x13)*sin(x28)) + sqr(sin(x9)*sin(x24) - sin(x13)*sin(x28)) + sqr(cos(x24) - cos(x28))) + log(1e-5 + sqr(cos(x9)*sin(x24) - cos(x14)* sin(x29)) + sqr(sin(x9)*sin(x24) - sin(x14)*sin(x29)) + sqr(cos(x24) - cos(x29))) + log(1e-5 + sqr(cos(x9)*sin(x24) - cos(x15)*sin(x30)) + sqr( sin(x9)*sin(x24) - sin(x15)*sin(x30)) + sqr(cos(x24) - cos(x30))) + log( 1e-5 + sqr(cos(x10)*sin(x25) - cos(x11)*sin(x26)) + sqr(sin(x10)*sin(x25) - sin(x11)*sin(x26)) + sqr(cos(x25) - cos(x26))) + log(1e-5 + sqr(cos(x10 )*sin(x25) - cos(x12)*sin(x27)) + sqr(sin(x10)*sin(x25) - sin(x12)*sin(x27 )) + sqr(cos(x25) - cos(x27))) + log(1e-5 + sqr(cos(x10)*sin(x25) - cos( x13)*sin(x28)) + sqr(sin(x10)*sin(x25) - sin(x13)*sin(x28)) + sqr(cos(x25) - cos(x28))) + log(1e-5 + sqr(cos(x10)*sin(x25) - cos(x14)*sin(x29)) + sqr(sin(x10)*sin(x25) - sin(x14)*sin(x29)) + sqr(cos(x25) - cos(x29))) + log(1e-5 + sqr(cos(x10)*sin(x25) - cos(x15)*sin(x30)) + sqr(sin(x10)*sin( x25) - sin(x15)*sin(x30)) + sqr(cos(x25) - cos(x30))) + log(1e-5 + sqr( cos(x11)*sin(x26) - cos(x12)*sin(x27)) + sqr(sin(x11)*sin(x26) - sin(x12)* sin(x27)) + sqr(cos(x26) - cos(x27))) + log(1e-5 + sqr(cos(x11)*sin(x26) - cos(x13)*sin(x28)) + sqr(sin(x11)*sin(x26) - sin(x13)*sin(x28)) + sqr( cos(x26) - cos(x28))) + log(1e-5 + sqr(cos(x11)*sin(x26) - cos(x14)*sin( x29)) + sqr(sin(x11)*sin(x26) - sin(x14)*sin(x29)) + sqr(cos(x26) - cos( x29))) + log(1e-5 + sqr(cos(x11)*sin(x26) - cos(x15)*sin(x30)) + sqr(sin( x11)*sin(x26) - sin(x15)*sin(x30)) + sqr(cos(x26) - cos(x30))) + log(1e-5 + sqr(cos(x12)*sin(x27) - cos(x13)*sin(x28)) + sqr(sin(x12)*sin(x27) - sin(x13)*sin(x28)) + sqr(cos(x27) - cos(x28))) + log(1e-5 + sqr(cos(x12)* sin(x27) - cos(x14)*sin(x29)) + sqr(sin(x12)*sin(x27) - sin(x14)*sin(x29)) + sqr(cos(x27) - cos(x29))) + log(1e-5 + sqr(cos(x12)*sin(x27) - cos(x15) *sin(x30)) + sqr(sin(x12)*sin(x27) - sin(x15)*sin(x30)) + sqr(cos(x27) - cos(x30))) + log(1e-5 + sqr(cos(x13)*sin(x28) - cos(x14)*sin(x29)) + sqr( sin(x13)*sin(x28) - sin(x14)*sin(x29)) + sqr(cos(x28) - cos(x29))) + log( 1e-5 + sqr(cos(x13)*sin(x28) - cos(x15)*sin(x30)) + sqr(sin(x13)*sin(x28) - sin(x15)*sin(x30)) + sqr(cos(x28) - cos(x30))) + log(1e-5 + sqr(cos(x14 )*sin(x29) - cos(x15)*sin(x30)) + sqr(sin(x14)*sin(x29) - sin(x15)*sin(x30 )) + sqr(cos(x29) - cos(x30))) + objvar =E= 0; * set non default bounds x1.up = 6.28318530717959; x2.up = 6.28318530717959; x3.up = 6.28318530717959; x4.up = 6.28318530717959; x5.up = 6.28318530717959; x6.up = 6.28318530717959; x7.up = 6.28318530717959; x8.up = 6.28318530717959; x9.up = 6.28318530717959; x10.up = 6.28318530717959; x11.up = 6.28318530717959; x12.up = 6.28318530717959; x13.up = 6.28318530717959; x14.up = 6.28318530717959; x15.up = 6.28318530717959; x16.up = 3.14159265358979; x17.up = 3.14159265358979; x18.up = 3.14159265358979; x19.up = 3.14159265358979; x20.up = 3.14159265358979; x21.up = 3.14159265358979; x22.up = 3.14159265358979; x23.up = 3.14159265358979; x24.up = 3.14159265358979; x25.up = 3.14159265358979; x26.up = 3.14159265358979; x27.up = 3.14159265358979; x28.up = 3.14159265358979; x29.up = 3.14159265358979; x30.up = 3.14159265358979; * set non default levels x1.l = 1.07911905633263; x2.l = 5.2984009897393; x3.l = 3.45811035025293; x4.l = 1.89210525384766; x5.l = 1.83602288011424; x6.l = 1.40776568196586; x7.l = 2.19804988273603; x8.l = 5.38010526324397; x9.l = 0.421687958263721; x10.l = 3.14291632595527; x11.l = 6.27135800880335; x12.l = 3.63628905742401; x13.l = 6.22747254810505; x14.l = 4.78936093464518; x15.l = 0.821165088944418; x16.l = 2.00973575363798; x17.l = 0.501140149658736; x18.l = 0.78565116527862; x19.l = 2.10150120381044; x20.l = 1.36771240824304; x21.l = 1.13003171315989; x22.l = 1.10408561987635; x23.l = 0.413093013152841; x24.l = 0.471558674471493; x25.l = 1.85075511496947; x26.l = 2.61032675409977; x27.l = 0.725129026833707; x28.l = 2.09146648877757; x29.l = 2.43742855524136; x30.l = 0.953971240543465; * set non default marginals Model m / all /; m.limrow=0; m.limcol=0; $if NOT '%gams.u1%' == '' $include '%gams.u1%' Solve m using NLP minimizing objvar;