text:
using SparseArrays
using LinearAlgebra
matrices = Dict{String, Any}(
"LPnetlib/lpi_itest6" => sparse([1, 2, 3, 4, 5, 6, 7, 8, 11, 2, 4, 5, 9, 10, 11, 1, 4, 6, 9, 10, 1, 5, 10, 7, 8, 3, 8, 7, 3], [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 13, 13, 13, 14, 14, 15, 15, 16, 17], [1.0, 1.0, 1.0, -1.0, -1.0, 1.0, -1.0, 1.0, -1.0, 1.0, -1.0, -1.0, 1.0, 1.0, 1.0, 0.8, 1.0, 1.0, -0.05, -0.04, 1.0, 1.0, -0.05, -3.0, 0.5, 2.0, 0.6, 1.0, -1.0], 11, 17),
"HB/west0132" => sparse([19, 24, 20, 24, 21, 22, 22, 23, 23, 24, 25, 34, 26, 34, 27, 34, 28, 29, 30, 29, 34, 30, 34, 31, 33, 32, 33, 33, 34, 2, 6, 8, 3, 7, 9, 4, 6, 8, 5, 7, 9, 6, 11, 7, 11, 8, 12, 9, 12, 10, 11, 11, 13, 23, 33, 12, 14, 17, 18, 23, 32, 13, 15, 14, 15, 15, 16, 23, 16, 18, 31, 32, 17, 23, 33, 18, 23, 33, 24, 41, 34, 1, 11, 12, 24, 27, 34, 36, 38, 37, 38, 41, 39, 100, 101, 102, 103, 108, 111, 112, 114, 115, 117, 118, 119, 126, 127, 128, 129, 41, 122, 132, 35, 37, 53, 54, 99, 109, 110, 122, 124, 132, 36, 38, 53, 54, 99, 109, 110, 122, 125, 132, 37, 38, 41, 39, 59, 60, 66, 67, 68, 69, 74, 77, 78, 80, 81, 83, 84, 85, 92, 93, 94, 95, 40, 63, 64, 77, 78, 80, 89, 41, 88, 98, 35, 37, 42, 43, 46, 47, 65, 75, 76, 88, 90, 98, 36, 38, 42, 43, 46, 47, 65, 75, 76, 88, 91, 98, 35, 63, 36, 64, 48, 63, 49, 64, 57, 63, 58, 64, 61, 63, 62, 64, 42, 44, 46, 47, 43, 45, 46, 47, 44, 46, 45, 47, 46, 48, 47, 49, 50, 51, 52, 51, 55, 56, 52, 55, 56, 53, 55, 54, 56, 55, 57, 56, 58, 59, 61, 60, 62, 83, 88, 84, 88, 85, 86, 86, 87, 87, 88, 117, 122, 118, 122, 119, 120, 120, 121, 121, 122, 89, 98, 90, 98, 91, 98, 92, 93, 94, 93, 98, 94, 98, 95, 97, 96, 97, 97, 98, 123, 132, 124, 132, 125, 132, 126, 127, 128, 127, 132, 128, 132, 129, 131, 130, 131, 131, 132, 66, 70, 72, 67, 71, 73, 68, 70, 72, 69, 71, 73, 70, 75, 71, 75, 72, 76, 73, 76, 74, 75, 75, 77, 87, 97, 76, 78, 81, 82, 87, 96, 77, 79, 78, 79, 79, 80, 87, 80, 82, 95, 96, 81, 87, 97, 82, 87, 97, 100, 104, 106, 101, 105, 107, 102, 104, 106, 103, 105, 107, 53, 104, 109, 54, 105, 109, 55, 106, 110, 56, 107, 110, 53, 54, 108, 109, 55, 56, 109, 111, 121, 131, 50, 55, 56, 110, 112, 115, 116, 121, 130, 111, 113, 112, 113, 51, 55, 56, 113, 114, 121, 50, 114, 116, 129, 130, 55, 56, 115, 121, 131, 116, 121, 131], [1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6, 7, 7, 8, 8, 9, 9, 9, 10, 10, 11, 11, 12, 12, 13, 13, 14, 14, 15, 15, 15, 16, 16, 16, 17, 17, 17, 18, 18, 18, 19, 19, 20, 20, 21, 21, 22, 22, 23, 23, 24, 24, 24, 24, 25, 25, 25, 25, 25, 25, 26, 26, 27, 27, 28, 28, 28, 29, 29, 29, 29, 30, 30, 30, 31, 31, 31, 32, 32, 33, 34, 34, 34, 34, 34, 34, 34, 34, 35, 35, 35, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 37, 37, 38, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 41, 41, 41, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 43, 43, 43, 43, 43, 43, 43, 44, 44, 45, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 48, 48, 49, 49, 50, 50, 51, 51, 52, 52, 53, 53, 54, 54, 55, 55, 56, 56, 56, 56, 57, 57, 57, 57, 58, 58, 59, 59, 60, 60, 61, 61, 62, 62, 62, 63, 63, 63, 64, 64, 64, 65, 65, 66, 66, 67, 67, 68, 68, 69, 69, 70, 70, 71, 71, 72, 72, 73, 73, 74, 74, 75, 75, 76, 76, 77, 77, 78, 78, 79, 79, 80, 80, 81, 81, 82, 82, 83, 83, 84, 84, 84, 85, 85, 86, 86, 87, 87, 88, 88, 89, 89, 90, 90, 91, 91, 92, 92, 93, 93, 93, 94, 94, 95, 95, 96, 96, 97, 97, 98, 98, 99, 99, 99, 100, 100, 100, 101, 101, 101, 102, 102, 102, 103, 103, 104, 104, 105, 105, 106, 106, 107, 107, 108, 108, 108, 108, 109, 109, 109, 109, 109, 109, 110, 110, 111, 111, 112, 112, 112, 113, 113, 113, 113, 114, 114, 114, 115, 115, 115, 116, 116, 116, 117, 117, 117, 118, 118, 118, 119, 119, 119, 120, 120, 120, 121, 121, 121, 122, 122, 122, 123, 123, 123, 124, 124, 124, 124, 125, 125, 125, 125, 125, 125, 126, 126, 126, 126, 126, 126, 126, 126, 126, 127, 127, 128, 128, 129, 129, 129, 129, 129, 129, 130, 130, 130, 130, 130, 131, 131, 131, 131, 131, 132, 132, 132], [1.0, -0.1222209, 1.0, -0.1990257, 130.0, -2.433767, 1.0, -1.634607, 1.634607, -0.7636881, -1.138352, 0.05148402, -0.4, 0.01809072, -0.6, 0.02713609, -0.4362416, -0.7680425, -0.1430279, 1.0, -0.05450672, 1.0, -0.08678148, 5.440092, -0.7423272, 0.3092918, -0.2333258, 1.4756529999999999, -0.4890926, 48.17647, -1.0, -3.347484e-5, 83.5, -1.0, -4.136539e-5, 96.65138, 2.5, 3.347484e-5, 168.2706, 2.5, 4.136539e-5, 1.0, -0.09840023, 1.0, -0.4989523, 1.010455, -0.4, 1.005978, -0.6, 1.0, -0.4026475, 1.0, -1.0, 1.5, 0.5, 1.0, -316220.0, -12323.69, -1.0, -43103.15, 21599.43, 7.359041, 0.002450037, 1080.859, -0.1497328, 0.09812971, 73.82816, -0.1364549, -21599.43, 0.8191182, -21599.43, -17692.49, 1.0, 0.2880192, -1.069855, 8.422065000000001e-5, 2.5068859999999997, 0.8356287, 1.0, 1.0, 1.0, 1.0, -2.334253, -4.111957e-5, -2.753073, 1.0, 0.410307, 0.0, -1.0, 0.05812434, 0.0009532602, 0.2724865, 0.9593388, 1.0, 1.0, 1.0, 1.0, -0.004161268, 2.5, 3.327198, 1.0, -0.5779212, -0.6073953, -0.4790423, -25.84199, 0.4185035, -0.2548846, -0.6633122, 1.0, -0.2724865, 1.0, 1.0, 1.0, 0.0590776, -0.9941602, -0.989584, 1.0, -1.988119, -3.3143100000000005e-5, 1.025185, 1.0, 1.007612, 1.0, 0.0590776, -1.3560780000000001, -1.635106, 1.0, -2.724422, -4.113008e-5, -0.5953764, 1.0, 0.4377387, 0.3418757, 0.5990467, 0.7275135, -0.9593388, -76.30451, -202.3722, 1.0, 1.0, 1.0, 1.0, -0.004161268, 2.5, 3.822808, 1.0, -0.6640068, -0.6073953, -0.4790423, -25.84199, 0.4185035, -0.2548846, -0.6633122, 1.0, -0.3162355, 1.0, 1.0, -1.0, -3.822808, -1.0, 1.0, -0.7275135, 1.0, 1.0, -2.707826, 0.9409224, -1.0, -1.0, 1.0, 1.0, 1.0, -1.469328, -3.3143100000000005e-5, 6.115571, 1.0, 0.5516685, -0.02534438, 0.9409224, -1.0, -1.0, 1.0, 1.0, 1.0, -2.302854, -4.113008e-5, -3.551621, 1.0, 0.4313726, -0.9838643, 1.0, -0.636659, 39.45648, -1.0, -1.0, -1.0, -1.0, -1.0, 1.026762, -1.0, 1.049185, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, 0.363341, 0.363341, -1.0, -1.0, 0.636659, 0.636659, 1.0, -1.0, 1.0, -1.0, 1.0, 1.0, 1.0, 1.0, 0.01008834, 0.9729237, -1.0, 0.9697149, 32.98426, 26.57911, 1.003298, 302.4477, 365.6366, 1.0, 1.99585, 1.0, 2.203908, 32.98426, 0.9739357, 26.57911, 0.9531211, 117.554, 12.48266, 106.564, 7.789714, 1.0, -0.1474021, 1.0, -0.2788901, 124.714, -2.413012, 1.0, -1.622999, 1.622999, -1.039134, 1.0, -0.06690976, 1.0, -0.001184895, 124.714, -2.413012, 1.0, -0.02802125, 0.02802125, -0.000964388, -1.0, 0.04666806, -0.3678513, 0.01716691, -0.636659, 0.02971164, -0.4185035, -0.7362677, -0.138192, 1.0, -0.05329393, 1.0, -0.09834317, 5.410127, -0.6683917, 0.2970625, -0.2228242, 1.391216, -0.5255218, -1.0, 0.07861369, -0.9838643, 0.0773452, -0.06658712, 0.005234659, -0.4185035, -0.7362677, -0.138192, 1.0, -0.2430956, 1.0, -0.004198599, 1.0, -0.3852808, 0.9967019, -0.3852808, 0.04633954, -0.009455238, 46.25822, -1.0, -3.350429e-5, 80.14545, -1.0, -4.138639000000001e-5, 92.76208, 2.5, 3.350429e-5, 161.4692, 2.5, 4.138639000000001e-5, 1.0, -0.07873855, 1.0, -0.5448713, 1.010898, -0.363341, 1.006232, -0.636659, 1.0, -0.3763901, 1.0, -1.0, 1.5, 0.5, 1.0, -100000.0, -11579.74, -1.0, -42455.68, 21850.27, 20.34779, 0.0007269612, 1036.91, -0.05359162, 0.03667612, 226.5677, -0.1235445, -21850.27, 0.8352941, -21850.27, -18251.4, 1.0, 0.2778569, -1.129507, 8.39941e-5, 2.470336, 0.8234455, 46.25822, -1.0, -3.350429e-5, 80.14545, -1.0, -4.138639000000001e-5, 92.76208, 2.5, 3.350429e-5, 161.4692, 2.5, 4.138639000000001e-5, -0.9781187, 1.0, -0.9566194, -0.02638363, 1.0, -0.0005799192, -3329.98, 1.010898, -0.9838643, -2683.337, 1.006232, -0.01613573, -0.02188131, -0.9736164, 1.0, -0.0428007, -1.0, -1.0, 1.0, -1.0, 0.01758925, 0.005863083, -1.0, 3317.081, 3317.081, 1.0, -100000.0, -11579.74, -1.0, -842.1876, 99.12431, 33.71533, 0.9697149, 1036.91, -1.008828, -0.9967019, -32.8565, -32.8565, 0.920335, 1.02783, -0.3852808, 0.003298062, -99.12431, 0.003298062, -99.12431, -0.3269181, -2.5847379999999998, -3.124755, 1.0, 0.02707635, -0.01521769, 0.01012161, 5.341997, 1.780666], 132, 132),
"LPnetlib/lp_etamacro" => sparse([257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 17, 17, 18, 18, 19, 19, 20, 20, 21, 21, 22, 22, 23, 23, 24, 24, 25, 25, 26, 26, 27, 27, 28, 28, 29, 29, 30, 30, 31, 31, 32, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 17, 17, 18, 18, 19, 19, 20, 20, 21, 21, 22, 22, 23, 23, 24, 24, 25, 25, 26, 26, 27, 27, 28, 28, 29, 29, 30, 30, 31, 31, 32, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 1, 33, 34, 257, 2, 34, 35, 258, 3, 35, 36, 259, 4, 36, 37, 260, 5, 37, 38, 261, 6, 38, 39, 262, 7, 39, 40, 263, 8, 40, 41, 264, 9, 41, 42, 265, 10, 42, 43, 266, 11, 43, 44, 267, 12, 44, 45, 268, 13, 45, 46, 269, 14, 46, 47, 270, 15, 47, 48, 271, 16, 48, 272, 1, 257, 289, 305, 361, 2, 258, 290, 306, 362, 3, 259, 291, 307, 363, 4, 260, 292, 308, 364, 5, 261, 293, 309, 365, 6, 262, 294, 310, 366, 7, 263, 295, 311, 367, 8, 264, 296, 312, 368, 9, 265, 297, 313, 369, 10, 266, 298, 314, 370, 11, 267, 299, 315, 371, 12, 268, 300, 316, 372, 13, 269, 301, 317, 373, 14, 270, 302, 318, 374, 15, 271, 303, 319, 375, 16, 272, 304, 320, 376, 1, 49, 50, 257, 305, 361, 2, 50, 51, 258, 306, 362, 3, 51, 52, 259, 307, 363, 4, 52, 53, 260, 308, 364, 5, 53, 54, 261, 309, 365, 6, 54, 55, 262, 310, 366, 7, 55, 56, 263, 311, 367, 8, 56, 57, 264, 312, 368, 9, 57, 58, 265, 313, 369, 10, 58, 59, 266, 314, 370, 11, 59, 60, 267, 315, 371, 12, 60, 61, 268, 316, 372, 13, 61, 62, 269, 317, 373, 14, 62, 63, 270, 318, 374, 15, 63, 64, 271, 319, 375, 16, 64, 272, 320, 376, 1, 65, 66, 257, 305, 361, 2, 66, 67, 258, 306, 362, 3, 67, 68, 259, 307, 363, 4, 68, 69, 260, 308, 364, 5, 69, 70, 261, 309, 365, 6, 70, 71, 262, 310, 366, 7, 71, 72, 263, 311, 367, 8, 72, 73, 264, 312, 368, 9, 73, 74, 265, 313, 369, 10, 74, 75, 266, 314, 370, 11, 75, 76, 267, 315, 371, 12, 76, 77, 268, 316, 372, 13, 77, 78, 269, 317, 373, 14, 78, 79, 270, 318, 374, 15, 79, 80, 271, 319, 375, 16, 80, 272, 320, 376, 1, 81, 82, 257, 321, 2, 82, 83, 258, 322, 3, 83, 84, 259, 323, 4, 84, 85, 260, 324, 5, 85, 86, 261, 325, 6, 86, 87, 262, 326, 7, 87, 88, 263, 327, 8, 88, 89, 264, 328, 9, 89, 90, 265, 329, 10, 90, 91, 266, 330, 11, 91, 92, 267, 331, 12, 92, 93, 268, 332, 13, 93, 94, 269, 333, 14, 94, 95, 270, 334, 15, 95, 96, 271, 335, 16, 96, 272, 336, 1, 97, 98, 257, 321, 346, 2, 98, 99, 258, 322, 347, 3, 99, 100, 259, 323, 348, 4, 100, 101, 260, 324, 349, 5, 101, 102, 261, 325, 350, 6, 102, 103, 262, 326, 351, 7, 103, 104, 263, 327, 352, 8, 104, 105, 264, 328, 353, 9, 105, 106, 265, 329, 354, 10, 106, 107, 266, 330, 355, 11, 107, 108, 267, 331, 356, 12, 108, 109, 268, 332, 357, 13, 109, 110, 269, 333, 358, 14, 110, 111, 270, 334, 359, 15, 111, 112, 271, 335, 360, 16, 112, 272, 336, 1, 113, 114, 257, 321, 2, 114, 115, 258, 322, 3, 115, 116, 259, 323, 4, 116, 117, 260, 324, 5, 117, 118, 261, 325, 6, 118, 119, 262, 326, 7, 119, 120, 263, 327, 8, 120, 121, 264, 328, 9, 121, 122, 265, 329, 10, 122, 123, 266, 330, 11, 123, 124, 267, 331, 12, 124, 125, 268, 332, 13, 125, 126, 269, 333, 14, 126, 127, 270, 334, 15, 127, 128, 271, 335, 16, 128, 272, 336, 1, 129, 130, 257, 346, 2, 130, 131, 258, 347, 3, 131, 132, 259, 348, 4, 132, 133, 260, 349, 5, 133, 134, 261, 350, 6, 134, 135, 262, 351, 7, 135, 136, 263, 352, 8, 136, 137, 264, 353, 9, 137, 138, 265, 354, 10, 138, 139, 266, 355, 11, 139, 140, 267, 356, 12, 140, 141, 268, 357, 13, 141, 142, 269, 358, 14, 142, 143, 270, 359, 15, 143, 144, 271, 360, 16, 144, 272, 1, 145, 146, 257, 2, 146, 147, 258, 3, 147, 148, 259, 4, 148, 149, 260, 5, 149, 150, 261, 6, 150, 151, 262, 7, 151, 152, 263, 8, 152, 153, 264, 9, 153, 154, 265, 10, 154, 155, 266, 11, 155, 156, 267, 12, 156, 157, 268, 13, 157, 158, 269, 14, 158, 159, 270, 15, 159, 160, 271, 16, 160, 272, 161, 273, 289, 162, 274, 290, 163, 275, 291, 164, 276, 292, 165, 277, 293, 166, 278, 294, 167, 279, 295, 168, 280, 296, 169, 281, 297, 170, 282, 298, 171, 283, 299, 172, 284, 300, 173, 285, 301, 174, 286, 302, 175, 287, 303, 176, 288, 304, 1, 177, 178, 273, 305, 361, 2, 178, 179, 274, 306, 362, 3, 179, 180, 275, 307, 363, 4, 180, 181, 276, 308, 364, 5, 181, 182, 277, 309, 365, 6, 182, 183, 278, 310, 366, 7, 183, 184, 279, 311, 367, 8, 184, 185, 280, 312, 368, 9, 185, 186, 281, 313, 369, 10, 186, 187, 282, 314, 370, 11, 187, 188, 283, 315, 371, 12, 188, 189, 284, 316, 372, 13, 189, 190, 285, 317, 373, 14, 190, 191, 286, 318, 374, 15, 191, 192, 287, 319, 375, 16, 192, 288, 320, 376, 1, 193, 194, 273, 2, 194, 195, 274, 3, 195, 196, 275, 4, 196, 197, 276, 5, 197, 198, 277, 6, 198, 199, 278, 7, 199, 200, 279, 8, 200, 201, 280, 9, 201, 202, 281, 10, 202, 203, 282, 11, 203, 204, 283, 12, 204, 205, 284, 13, 205, 206, 285, 14, 206, 207, 286, 15, 207, 208, 287, 16, 208, 288, 1, 209, 210, 273, 2, 210, 211, 274, 3, 211, 212, 275, 4, 212, 213, 276, 5, 213, 214, 277, 6, 214, 215, 278, 7, 215, 216, 279, 8, 216, 217, 280, 9, 217, 218, 281, 10, 218, 219, 282, 11, 219, 220, 283, 12, 220, 221, 284, 13, 221, 222, 285, 14, 222, 223, 286, 15, 223, 224, 287, 16, 224, 288, 1, 225, 226, 273, 305, 361, 2, 226, 227, 274, 306, 362, 3, 227, 228, 275, 307, 363, 4, 228, 229, 276, 308, 364, 5, 229, 230, 277, 309, 365, 6, 230, 231, 278, 310, 366, 7, 231, 232, 279, 311, 367, 8, 232, 233, 280, 312, 368, 9, 233, 234, 281, 313, 369, 10, 234, 235, 282, 314, 370, 11, 235, 236, 283, 315, 371, 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53, 53, 53, 53, 53, 53, 53, 54, 54, 54, 54, 54, 54, 54, 54, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 56, 56, 57, 57, 58, 58, 59, 59, 59, 59, 59, 59, 59, 59, 60, 60, 60, 60, 60, 60, 60, 60, 61, 61, 61, 61, 61, 61, 61, 61, 62, 62, 62, 62, 62, 62, 62, 62, 63, 63, 63, 63, 63, 63, 63, 63, 64, 64, 64, 64, 64, 64, 64, 64, 65, 65, 65, 65, 65, 65, 65, 65, 66, 66, 66, 66, 66, 66, 66, 66, 67, 67, 67, 68, 68, 68, 68, 68, 68, 68, 68, 69, 69, 69, 69, 69, 69, 69, 69, 70, 70, 70, 70, 70, 70, 70, 70, 71, 71, 71, 71, 71, 71, 71, 71, 72, 72, 72, 72, 72, 72, 72, 72, 73, 73, 73, 73, 73, 73, 73, 73, 74, 74, 74, 74, 74, 74, 74, 74, 75, 75, 75, 76, 76, 76, 76, 76, 76, 76, 76, 77, 77, 77, 77, 77, 77, 77, 77, 78, 78, 78, 78, 78, 78, 78, 78, 79, 79, 79, 79, 79, 79, 79, 79, 80, 80, 80, 80, 80, 80, 80, 80, 81, 81, 81, 81, 81, 81, 81, 81, 82, 82, 82, 82, 82, 82, 82, 82, 83, 83, 83, 84, 84, 84, 84, 84, 84, 84, 84, 85, 85, 86, 86, 87, 87, 88, 89, 89, 89, 89, 90, 90, 90, 90, 91, 91, 91, 92, 92, 93, 93, 94, 94, 95, 95, 95, 96, 96, 96, 97, 97, 97, 97, 98, 98, 98, 98, 99, 99, 99, 100, 100, 100, 101, 101, 102, 102, 103, 103, 104, 104, 105, 105, 106, 106, 107, 107, 108, 108, 109, 110, 110, 111, 112, 113, 114], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, -0.537, -0.131, -0.1155, -0.0365, -0.143, -0.037, 0.003, 0.0587, 0.15, 0.302, 1.0, -0.2931, -0.117, -0.0649, -0.1233, -0.2217, -0.18, 0.0042, 0.003, 0.1053, 0.185, 0.384, -0.00862, -0.00862, -0.0101, -0.0101, 1.0, 1.0, -0.0277, -0.0563, -0.199, -0.6873, -0.017, 0.01303, 0.0506, 0.209, 0.495, 1.0, 1.0, -0.0112, -0.0378, -0.1502, -0.7953, -0.0099, 0.01303, 0.0448, 0.185, 0.721, 1.0, -0.175, -0.27, -0.028, -0.455, 1.0, 0.01303, 0.0506, 0.209, 0.495, -0.271, -0.3285, -0.0255, -0.2656, 1.0, 0.01303, 0.0506, 0.209, 0.495, -0.2836, -0.3285, -0.0241, -0.2502, 1.0, 0.01303, 0.0506, 0.209, 0.495, 1.0, -1.0, 0.0327, 0.094, 0.045, 0.793, -1.0, 1.0, -1.0, 1.0, 1.0, -1.0, 1.0, -1.0, 1.0, -0.0588, -0.8145, -0.0091, -0.8239, 0.0081, -0.2112, 0.387, 1.03, 1.3, 1.0, -0.0404, -0.8564, -0.0069, -0.7689, 0.0063, -0.156, 0.297, 0.792, 1.0, 1.0, -0.3321, -0.5875, -0.362, 2.3, -0.2049, 0.826, 14.61, 1.0, 1.0, 1.0, -0.3321, -0.5875, -0.362, 2.3, -0.2049, 0.826, 14.61, 1.0, 1.0, 1.0, -0.2414, -0.6627, -0.293, 2.3, -0.1531, 0.826, 14.61, 1.0, 1.0, -0.2414, -0.6627, -0.293, 1.0, 2.3, -0.1531, 0.826, 14.61, 1.0, 1.0, -0.0185, -0.0568, -0.0806, -0.0658, -0.0328, -0.4934, -0.2922, -0.0096, -0.0654, -0.2535, 0.632, 0.6807, 1.0, 1.0, 1.0, -0.0185, -0.0568, -0.0806, -0.0658, -0.0328, -0.4934, -0.2922, -0.0096, -0.0654, -0.2535, 0.632, 0.6807, 1.0, 1.0, 1.0, -0.0184, -0.0564, -0.078, -0.0655, -0.0303, -0.475, -0.305, -0.0654, -0.2703, 0.632, 0.6807, 1.0, 1.0, 1.0, -0.0184, -0.0564, -0.078, -0.0655, -0.0303, -0.475, -0.305, -0.0654, -0.2703, 0.632, 0.6807, 1.0, 1.0, 0.76, 0.5714, -1.0, 0.1869, 0.2796, 2.241, 2.766, 1.0, -0.0571, -0.0114, 0.6571, 0.5714, -1.0, 0.1724, 0.2579, 2.067, 2.552, 1.0, -1.0, 1.0, -1.0, 1.0, -1.0, 1.0, 1.0, -1.0, -7.95, -8.7, -3.0, 14.0, 1.0, -1.0, 1.0, -1.0, -8.84, -9.45, -3.0, 12.0, 1.0, -1.0, 1.0, -1.0, -9.43, -9.57, -3.0, 3.5, 0.233, -0.358, 1.0, -1.0, -9.03, -9.32, -3.0, 3.5, 0.205, -0.333, 1.0, -1.0, -9.23, -9.22, -3.0, 6.0, 0.381, -0.509, 1.0, -1.0, -9.4, -9.85, -3.0, 2.5, 0.39, -0.77, 1.0, -1.0, -9.74, -10.1, -3.0, 3.3, 0.233, -0.58, 1.0, -1.0, -9.74, -9.9, -3.0, 66.0, 1.0, -1.0, -0.493, -0.165, 1.0, 1.0, 10.03, 10.03, -9.5, -0.5, 0.5, 0.64, 0.35, 1.0, -1.0, -7.98, -8.58, -3.0, 14.0, 1.0, -1.0, 1.0, -1.0, -8.87, -9.33, -3.0, 12.0, 1.0, -1.0, 1.0, -1.0, -9.46, -9.45, -3.0, 3.5, 0.233, -0.358, 1.0, -1.0, -9.06, -9.2, -3.0, 3.5, 0.205, -0.333, 1.0, -1.0, -9.26, -9.13, -3.0, 6.0, 0.318, -0.509, 1.0, -1.0, -9.77, -9.78, -3.0, 66.0, 1.0, -1.0, -0.435, -0.208, 1.0, 1.0, 9.65, 9.65, -9.5, -0.5, 0.5, -0.36, 0.35, 1.0, -1.0, -7.99, -8.59, -3.0, 14.0, 1.0, -1.0, 1.0, -1.0, -8.88, -9.34, -3.0, 12.0, 1.0, -1.0, 1.0, -1.0, -9.47, -9.46, -3.0, 3.5, 0.233, -0.358, 1.0, -1.0, -9.07, -9.21, -3.0, 3.5, 0.205, -0.333, 1.0, -1.0, -9.27, -9.14, -3.0, 6.0, 0.318, -0.509, 1.0, -1.0, -9.78, -9.79, -3.0, 66.0, 1.0, -1.0, -0.426, -0.204, 1.0, 1.0, 9.05, 9.05, -9.5, -0.5, 0.5, -0.36, -0.65, -1.0, 1.0, 1.0, -1.0, 1.0, -1.0, 1.0, 1.0, -1.0, -14.0, 14.0, 1.0, -1.0, -0.8, 0.8, 1.0, 2.0, -3.0, 1.0, -1.0, 1.0, -1.0, 1.0, 1.0, 1.0, -1.0, 10.1, 1.0, -1.0, 12.63, 1.0, -1.0, 8.05, 1.0, 1.0, -1.0, 6.9, 1.0, 1.0, -1.0, 8.05, 1.0, -1.0, 4.4, 1.0, -10.1, 1.0, -0.325, 1.0, -4.153, 1.0, -4.316, 1.0, -3.814, 1.0, -3.808, 1.0, -4.44, -1.0, 1.42, 1.0, -0.5, -0.5, -1.0, 1.0, -1.0, -1.0], 74, 114),
"Pajek/GD99_c" => sparse([6, 5, 7, 4, 8, 5, 1, 24, 6, 7, 26, 105, 94, 40, 26, 16, 26, 26, 16, 16, 16, 57, 15, 31, 13, 15, 13, 9, 16, 57, 24, 85, 85, 32, 86, 22, 45, 57, 22, 85, 54, 88, 91, 91, 92, 95, 50, 98, 98, 38, 38, 102, 101, 103, 100, 104, 31, 93, 28, 50, 87, 100, 53, 99, 87, 89, 45, 94, 31, 104, 48, 90, 91, 89, 87, 90, 93, 99, 29, 18, 21, 26, 31, 95, 45, 103, 59, 102, 61, 61, 53, 64, 65, 64, 91, 92, 88, 97, 96, 97, 96, 92, 48, 64, 98, 40, 86, 96, 86, 82, 78, 82, 81, 84, 78, 33, 82, 83, 32, 30, 47, 54, 33, 97, 49, 99, 52, 55, 33, 67, 34, 50, 50, 95, 94, 70, 88, 73, 55, 89, 47, 101, 100, 102, 101, 59, 105, 105, 104], [1, 2, 2, 3, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 19, 20, 21, 22, 22, 23, 24, 25, 26, 26, 26, 27, 28, 29, 30, 30, 31, 31, 31, 32, 32, 33, 33, 33, 34, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 44, 45, 45, 46, 47, 47, 47, 48, 48, 49, 49, 50, 50, 51, 51, 52, 52, 52, 53, 54, 54, 54, 55, 56, 57, 57, 57, 57, 58, 59, 59, 60, 61, 62, 63, 64, 65, 66, 67, 67, 67, 68, 69, 70, 70, 71, 72, 73, 73, 73, 74, 75, 76, 77, 78, 79, 79, 80, 80, 81, 82, 83, 84, 85, 86, 87, 87, 88, 88, 89, 89, 90, 90, 91, 91, 92, 93, 94, 94, 95, 96, 97, 98, 99, 99, 100, 100, 101, 101, 102, 103, 103, 104, 105], Bool[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 105, 105),
"HB/can_292" => Symmetric(sparse([1, 8, 9, 56, 57, 2, 30, 31, 35, 38, 39, 50, 52, 79, 80, 84, 86, 87, 97, 99, 126, 127, 131, 133, 134, 144, 146, 175, 176, 180, 182, 183, 193, 195, 231, 232, 235, 236, 239, 240, 3, 22, 23, 27, 30, 31, 48, 50, 72, 73, 77, 79, 80, 95, 97, 119, 120, 124, 126, 127, 142, 144, 168, 169, 173, 175, 176, 191, 193, 219, 220, 223, 224, 227, 228, 4, 14, 15, 19, 22, 23, 46, 48, 65, 66, 70, 72, 73, 93, 95, 112, 113, 117, 119, 120, 140, 142, 161, 162, 166, 168, 169, 189, 191, 207, 208, 211, 212, 215, 216, 5, 33, 34, 37, 41, 42, 51, 53, 82, 83, 85, 89, 90, 98, 100, 129, 130, 132, 136, 137, 145, 147, 178, 179, 181, 185, 186, 194, 196, 278, 279, 282, 283, 286, 287, 6, 25, 26, 29, 33, 34, 49, 51, 75, 76, 78, 82, 83, 96, 98, 122, 123, 125, 129, 130, 143, 145, 171, 172, 174, 178, 179, 192, 194, 266, 267, 270, 271, 274, 275, 7, 17, 18, 21, 25, 26, 47, 49, 68, 69, 71, 75, 76, 94, 96, 115, 116, 118, 122, 123, 141, 143, 164, 165, 167, 171, 172, 190, 192, 254, 255, 258, 259, 262, 263, 8, 10, 56, 9, 10, 57, 10, 11, 56, 57, 11, 12, 13, 15, 16, 17, 58, 12, 14, 15, 16, 56, 13, 16, 17, 18, 57, 14, 15, 19, 56, 211, 15, 16, 19, 20, 56, 211, 16, 17, 19, 20, 21, 17, 18, 20, 21, 57, 258, 18, 21, 57, 258, 19, 20, 22, 23, 24, 211, 20, 21, 23, 24, 25, 59, 21, 24, 25, 26, 258, 22, 23, 27, 211, 23, 24, 27, 28, 211, 24, 25, 27, 28, 29, 25, 26, 28, 29, 258, 26, 29, 258, 27, 28, 30, 31, 32, 28, 29, 31, 32, 33, 60, 29, 32, 33, 34, 30, 31, 35, 235, 31, 32, 35, 36, 235, 32, 33, 35, 36, 37, 33, 34, 36, 37, 282, 34, 37, 282, 35, 36, 38, 39, 40, 235, 36, 37, 39, 40, 41, 61, 37, 40, 41, 42, 282, 38, 39, 43, 54, 103, 235, 39, 40, 43, 44, 54, 103, 235, 40, 41, 43, 44, 45, 41, 42, 44, 45, 55, 104, 282, 42, 45, 55, 104, 282, 43, 44, 54, 103, 44, 45, 62, 45, 55, 104, 46, 56, 211, 47, 57, 258, 48, 211, 49, 258, 50, 235, 51, 282, 52, 54, 103, 235, 53, 55, 104, 282, 54, 103, 55, 104, 56, 101, 150, 57, 102, 151, 58, 63, 64, 66, 67, 68, 105, 59, 66, 67, 68, 70, 71, 73, 74, 75, 106, 60, 73, 74, 75, 77, 78, 80, 81, 82, 107, 61, 80, 81, 82, 84, 85, 87, 88, 89, 108, 62, 87, 88, 89, 91, 92, 109, 63, 65, 66, 67, 101, 150, 64, 67, 68, 69, 102, 151, 65, 66, 70, 101, 150, 211, 66, 67, 70, 101, 150, 211, 67, 68, 70, 71, 68, 69, 71, 102, 151, 258, 69, 71, 102, 151, 258, 70, 72, 73, 74, 211, 71, 74, 75, 76, 258, 72, 73, 77, 211, 73, 74, 77, 211, 74, 75, 77, 78, 75, 76, 78, 258, 76, 78, 258, 77, 79, 80, 81, 78, 81, 82, 83, 79, 80, 84, 235, 80, 81, 84, 235, 81, 82, 84, 85, 82, 83, 85, 282, 83, 85, 282, 84, 86, 87, 88, 235, 85, 88, 89, 90, 282, 86, 87, 91, 103, 235, 87, 88, 91, 103, 235, 88, 89, 91, 92, 89, 90, 92, 104, 282, 90, 92, 104, 282, 91, 103, 92, 104, 93, 101, 150, 211, 94, 102, 151, 258, 95, 211, 96, 258, 97, 235, 98, 282, 99, 103, 235, 100, 104, 282, 101, 150, 102, 151, 103, 148, 197, 104, 149, 198, 105, 110, 111, 113, 114, 115, 153, 106, 113, 114, 115, 117, 118, 120, 121, 122, 155, 107, 120, 121, 122, 124, 125, 127, 128, 129, 156, 108, 127, 128, 129, 131, 132, 134, 135, 136, 157, 109, 134, 135, 136, 138, 139, 158, 110, 112, 113, 114, 150, 111, 114, 115, 116, 151, 112, 113, 117, 150, 211, 113, 114, 117, 150, 211, 114, 115, 117, 118, 115, 116, 118, 151, 258, 116, 118, 151, 258, 117, 119, 120, 121, 211, 118, 121, 122, 123, 258, 119, 120, 124, 211, 120, 121, 124, 211, 121, 122, 124, 125, 122, 123, 125, 258, 123, 125, 258, 124, 126, 127, 128, 125, 128, 129, 130, 126, 127, 131, 235, 127, 128, 131, 235, 128, 129, 131, 132, 129, 130, 132, 282, 130, 132, 282, 131, 133, 134, 135, 235, 132, 135, 136, 137, 282, 133, 134, 138, 148, 197, 235, 134, 135, 138, 148, 197, 235, 135, 136, 138, 139, 136, 137, 139, 149, 198, 282, 137, 139, 149, 198, 282, 138, 148, 197, 139, 149, 198, 140, 150, 211, 141, 151, 258, 142, 211, 143, 258, 144, 235, 145, 282, 146, 148, 197, 235, 147, 149, 198, 282, 148, 197, 149, 198, 150, 152, 151, 154, 152, 159, 161, 162, 189, 153, 159, 160, 162, 163, 164, 154, 160, 164, 165, 190, 155, 162, 163, 164, 166, 167, 169, 170, 171, 156, 169, 170, 171, 173, 174, 176, 177, 178, 157, 176, 177, 178, 180, 181, 183, 184, 185, 158, 183, 184, 185, 187, 188, 159, 161, 162, 163, 160, 163, 164, 165, 161, 162, 166, 211, 162, 163, 166, 211, 163, 164, 166, 167, 164, 165, 167, 258, 165, 167, 258, 166, 168, 169, 170, 211, 167, 170, 171, 172, 258, 168, 169, 173, 211, 169, 170, 173, 211, 170, 171, 173, 174, 171, 172, 174, 258, 172, 174, 258, 173, 175, 176, 177, 174, 177, 178, 179, 175, 176, 180, 235, 176, 177, 180, 235, 177, 178, 180, 181, 178, 179, 181, 282, 179, 181, 282, 180, 182, 183, 184, 235, 181, 184, 185, 186, 282, 182, 183, 187, 197, 235, 183, 184, 187, 197, 235, 184, 185, 187, 188, 185, 186, 188, 198, 282, 186, 188, 198, 282, 187, 197, 188, 198, 189, 211, 190, 258, 191, 211, 192, 258, 193, 235, 194, 282, 195, 197, 235, 196, 198, 282, 197, 198, 199, 200, 203, 204, 200, 201, 203, 204, 205, 201, 202, 204, 205, 206, 202, 205, 206, 203, 204, 207, 208, 204, 205, 207, 208, 209, 205, 206, 208, 209, 210, 206, 209, 210, 207, 208, 211, 212, 208, 209, 211, 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)


text:
nvary = npararm
ivary = collect(1:nvary)
nwalkers = nvary * 2
nsteps = 1000
# Set up arrays to hold the results:
par_mcmc = zeros(nwalkers,nsteps,nparam)
log_like_mcmc = zeros(nwalkers,nsteps)
prior_mcmc = zeros(nwalkers,nsteps)
# Initialize walkers:
par_trial = copy(param)
log_like_best = copy(log_like)

function compute_prior(param)
# Check that parameters are inbounds:
inbounds = false
for i=1:ivary
  if param[ivary] =< lower[ivary] || param[ivary] >= upper[ivary]
    inbounds = false
  end
end
if inbounds
  log_prior = 1.0
  ilog = [2,3,4,9,10,11,12,13]
  for i=1:8
    log_prior *= exp(param[ilog[i]])
  end
else
  log_prior = -Inf
end
#pname = ["mean flux","log(period [d])","log(R_p/R_*)","log(T [d])","t_0 [d]","b","q1","q2","log(sig^2)","log(amplitude)","log(tau)","log(Pstar)","log(f)"]
return log_prior
end

for j=1:nwalkers
# Select from within uncertainties:
  log_like_trial = 1e100
# Only initiate models with reasonable chi-square values:
  while log_like_trial > (log_like_best + 1e2)
    outbounds = true
    while outbounds
      par_trial[ivary] = param[ivary] + sigma[ivary].*randn(nvary)
      prior_trial = compute_prior(par_trial)
      if isfinite(prior_trial)
        outbounds = true
      end
    end
    log_like_trial = -neg_log_like(par_trial)
    println("log_like_trial: ",log_like_trial," ",par_trial)
  end
  log_like_mcmc[j,1]=log_like_trial
  prior_mcmc[j,1]=prior_trial
  par_mcmc[j,1,:]=par_trial
  println("Success: ",par_trial,log_like_trial)
end
# Initialize scale length & acceptance counter:
ascale = 2.0
accept = 0
param_best = copy(param)
tic()
###  Go through the markov chain steps & make sure they are computed properly. ###
# Next, loop over steps in markov chain:
for i=2:nsteps
  for j=1:nwalkers
    ipartner = j
# Choose another walker to 'breed' a trial step with:
    while ipartner == j
      ipartner = ceil(Int,rand()*nwalkers)
    end
# Now, choose a new set of parameters for the trial step:
    z=(rand()*(sqrt(ascale)-1.0/sqrt(ascale))+1.0/sqrt(ascale))^2
    par_trial = copy(param_plane)
    par_trial[ivary]=vec(z*par_mcmc[j,i-1,ivary]+(1.0-z)*par_mcmc[ipartner,i-1,ivary])
# Compute model & chi-square:
    chi_trial,cov_trial,logdeta_trial=compute_chi(par_trial)
    prior_trial=compute_prior(par_trial,cov_trial)
    if chi_trial < chi_best
      param_best = par_trial
      chi_best = chi_trial
      println("New best chi-square: ",chi_best)
    end
# Next, determine whether to accept this trial step:
#    alp = z^(nparam-1)*exp((-0.5*(chi_trial - chi_mcmc[j,i-1])+prior_trial-prior_mcmc[j,i-1])*temperature)
    alp = z^(nvary-1)*exp((-0.5*(chi_trial - chi_mcmc[j,i-1])+prior_trial-prior_mcmc[j,i-1])*temperature)
    if rand() < 0.0001
      println("Step: ",i," Walker: ",j," Chi-square: ",chi_trial," Prob: ",alp," Frac: ",accept/(mod(i-1,1000)*nwalkers+j))
    end
    if alp >= rand()
# If step is accepted, add it to the chains!
      par_mcmc[j,i,:] = par_trial
      chi_mcmc[j,i] = chi_trial
      prior_mcmc[j,i] = prior_trial
      logdeta_mcmc[j,i]= logdeta_trial
      for ip=1:nplanet
        sigmass_mcmc[j,i,ip]=sqrt(cov_trial[ip*3,ip*3])
      end
      accept = accept + 1
    else
# If step is rejected, then copy last step:
      par_mcmc[j,i,:] = par_mcmc[j,i-1,:]
      chi_mcmc[j,i] = chi_mcmc[j,i-1]
      logdeta_mcmc[j,i] = logdeta_mcmc[j,i-1]
      sigmass_mcmc[j,i,:] = sigmass_mcmc[j,i-1,:]
      prior_mcmc[j,i] = prior_mcmc[j,i-1]
    end
  end
  if mod(i,1000) == 0
    elapsed = toc()
    acc_rate = accept/(1000*nwalkers)
    ascale = 1+(ascale-1)*acc_rate/0.25
    println("Number of steps: ",i," acceptance rate: ",acc_rate," remaining time: ",(nsteps-i)/1000*elapsed/3600," hr; new ascale: ",ascale)
    accept = 0
    tic()
  end
end
toc()

ext: jl