conspire 0.6.0

#![cfg(feature = "fem")]

use conspire::{
    constitutive::{
        solid::{
            elastic::AppliedLoad as AppliedDeformation,
            elastic_hyperviscous::{AlmansiHamel, SecondOrderMinimize as _},
            elastic_viscoplastic::AppliedLoad,
            hyperelastic::{NeoHookean, SecondOrderMinimize as _},
            hyperelastic_viscoplastic::{SaintVenantKirchhoff, SecondOrderMinimize as _},
            viscoelastic::AppliedLoad as AppliedDeformationRate,
        },
        thermal::conduction::Fourier,
    },
    fem::{
        NodalReferenceCoordinates,
        block::{
            Block, Connectivity, SecondOrderMinimize,
            element::linear::Tetrahedron as LinearTetrahedron,
            solid::{
                SolidFiniteElementBlock,
                elastic_hyperviscous::ElasticHyperviscousFiniteElementBlock,
                hyperelastic_viscoplastic::HyperelasticViscoplasticFiniteElementBlock,
                viscoelastic::ViscoelasticFiniteElementBlock,
            },
            thermal::ThermalFiniteElementBlock,
        },
    },
    math::{
        Matrix, Scalar, Tensor, TestError, Vector, assert_eq_within, assert_eq_within_tols,
        integrate::DormandPrince,
        optimize::{EqualityConstraint, NewtonRaphson},
    },
    mechanics::TemperatureGradient,
};

const G: usize = 1;
const M: usize = 3;
const N: usize = 4;
const P: usize = 4;

fn connectivity() -> Connectivity<N> {
    vec![
        [22, 243, 423, 603],
        [22, 243, 603, 261],
        [22, 31, 113, 603],
        [22, 31, 603, 423],
        [22, 32, 261, 603],
        [22, 32, 603, 113],
        [243, 244, 424, 604],
        [243, 244, 604, 262],
        [243, 423, 603, 604],
        [243, 423, 604, 424],
        [243, 261, 262, 604],
        [243, 261, 604, 603],
        [244, 245, 425, 605],
        [244, 245, 605, 263],
        [244, 424, 604, 605],
        [244, 424, 605, 425],
        [244, 262, 263, 605],
        [244, 262, 605, 604],
        [245, 246, 426, 606],
        [245, 246, 606, 264],
        [245, 425, 605, 606],
        [245, 425, 606, 426],
        [245, 263, 264, 606],
        [245, 263, 606, 605],
        [246, 247, 427, 607],
        [246, 247, 607, 265],
        [246, 426, 606, 607],
        [246, 426, 607, 427],
        [246, 264, 265, 607],
        [246, 264, 607, 606],
        [247, 248, 428, 608],
        [247, 248, 608, 266],
        [247, 427, 607, 608],
        [247, 427, 608, 428],
        [247, 265, 266, 608],
        [247, 265, 608, 607],
        [248, 249, 429, 609],
        [248, 249, 609, 267],
        [248, 428, 608, 609],
        [248, 428, 609, 429],
        [248, 266, 267, 609],
        [248, 266, 609, 608],
        [249, 250, 430, 610],
        [249, 250, 610, 268],
        [249, 429, 609, 610],
        [249, 429, 610, 430],
        [249, 267, 268, 610],
        [249, 267, 610, 609],
        [250, 251, 431, 611],
        [250, 251, 611, 269],
        [250, 430, 610, 611],
        [250, 430, 611, 431],
        [250, 268, 269, 611],
        [250, 268, 611, 610],
        [133, 144, 431, 611],
        [133, 144, 611, 242],
        [133, 251, 269, 611],
        [133, 251, 611, 431],
        [133, 142, 242, 611],
        [133, 142, 611, 269],
        [30, 31, 423, 603],
        [30, 31, 603, 113],
        [30, 414, 612, 603],
        [30, 414, 603, 423],
        [30, 113, 603, 612],
        [30, 113, 612, 114],
        [414, 423, 424, 604],
        [414, 423, 604, 603],
        [414, 415, 613, 604],
        [414, 415, 604, 424],
        [414, 603, 604, 613],
        [414, 603, 613, 612],
        [415, 424, 425, 605],
        [415, 424, 605, 604],
        [415, 416, 614, 605],
        [415, 416, 605, 425],
        [415, 604, 605, 614],
        [415, 604, 614, 613],
        [416, 425, 426, 606],
        [416, 425, 606, 605],
        [416, 417, 615, 606],
        [416, 417, 606, 426],
        [416, 605, 606, 615],
        [416, 605, 615, 614],
        [417, 426, 427, 607],
        [417, 426, 607, 606],
        [417, 418, 616, 607],
        [417, 418, 607, 427],
        [417, 606, 607, 616],
        [417, 606, 616, 615],
        [418, 427, 428, 608],
        [418, 427, 608, 607],
        [418, 419, 617, 608],
        [418, 419, 608, 428],
        [418, 607, 608, 617],
        [418, 607, 617, 616],
        [419, 428, 429, 609],
        [419, 428, 609, 608],
        [419, 420, 618, 609],
        [419, 420, 609, 429],
        [419, 608, 609, 618],
        [419, 608, 618, 617],
        [420, 429, 430, 610],
        [420, 429, 610, 609],
        [420, 421, 619, 610],
        [420, 421, 610, 430],
        [420, 609, 610, 619],
        [420, 609, 619, 618],
        [421, 430, 431, 611],
        [421, 430, 611, 610],
        [421, 422, 620, 611],
        [421, 422, 611, 431],
        [421, 610, 611, 620],
        [421, 610, 620, 619],
        [144, 145, 422, 620],
        [144, 145, 620, 241],
        [144, 422, 431, 611],
        [144, 422, 611, 620],
        [144, 241, 620, 611],
        [144, 241, 611, 242],
        [29, 30, 414, 612],
        [29, 30, 612, 114],
        [29, 405, 621, 612],
        [29, 405, 612, 414],
        [29, 114, 612, 621],
        [29, 114, 621, 115],
        [405, 414, 415, 613],
        [405, 414, 613, 612],
        [405, 406, 622, 613],
        [405, 406, 613, 415],
        [405, 612, 613, 622],
        [405, 612, 622, 621],
        [406, 415, 416, 614],
        [406, 415, 614, 613],
        [406, 407, 623, 614],
        [406, 407, 614, 416],
        [406, 613, 614, 623],
        [406, 613, 623, 622],
        [407, 416, 417, 615],
        [407, 416, 615, 614],
        [407, 408, 624, 615],
        [407, 408, 615, 417],
        [407, 614, 615, 624],
        [407, 614, 624, 623],
        [408, 417, 418, 616],
        [408, 417, 616, 615],
        [408, 409, 625, 616],
        [408, 409, 616, 418],
        [408, 615, 616, 625],
        [408, 615, 625, 624],
        [409, 418, 419, 617],
        [409, 418, 617, 616],
        [409, 410, 626, 617],
        [409, 410, 617, 419],
        [409, 616, 617, 626],
        [409, 616, 626, 625],
        [410, 419, 420, 618],
        [410, 419, 618, 617],
        [410, 411, 627, 618],
        [410, 411, 618, 420],
        [410, 617, 618, 627],
        [410, 617, 627, 626],
        [411, 420, 421, 619],
        [411, 420, 619, 618],
        [411, 412, 628, 619],
        [411, 412, 619, 421],
        [411, 618, 619, 628],
        [411, 618, 628, 627],
        [412, 421, 422, 620],
        [412, 421, 620, 619],
        [412, 413, 629, 620],
        [412, 413, 620, 422],
        [412, 619, 620, 629],
        [412, 619, 629, 628],
        [145, 146, 413, 629],
        [145, 146, 629, 240],
        [145, 413, 422, 620],
        [145, 413, 620, 629],
        [145, 240, 629, 620],
        [145, 240, 620, 241],
        [28, 29, 405, 621],
        [28, 29, 621, 115],
        [28, 396, 630, 621],
        [28, 396, 621, 405],
        [28, 115, 621, 630],
        [28, 115, 630, 116],
        [396, 405, 406, 622],
        [396, 405, 622, 621],
        [396, 397, 631, 622],
        [396, 397, 622, 406],
        [396, 621, 622, 631],
        [396, 621, 631, 630],
        [397, 406, 407, 623],
        [397, 406, 623, 622],
        [397, 398, 632, 623],
        [397, 398, 623, 407],
        [397, 622, 623, 632],
        [397, 622, 632, 631],
        [398, 407, 408, 624],
        [398, 407, 624, 623],
        [398, 399, 633, 624],
        [398, 399, 624, 408],
        [398, 623, 624, 633],
        [398, 623, 633, 632],
        [399, 408, 409, 625],
        [399, 408, 625, 624],
        [399, 400, 634, 625],
        [399, 400, 625, 409],
        [399, 624, 625, 634],
        [399, 624, 634, 633],
        [400, 409, 410, 626],
        [400, 409, 626, 625],
        [400, 401, 635, 626],
        [400, 401, 626, 410],
        [400, 625, 626, 635],
        [400, 625, 635, 634],
        [401, 410, 411, 627],
        [401, 410, 627, 626],
        [401, 402, 636, 627],
        [401, 402, 627, 411],
        [401, 626, 627, 636],
        [401, 626, 636, 635],
        [402, 411, 412, 628],
        [402, 411, 628, 627],
        [402, 403, 637, 628],
        [402, 403, 628, 412],
        [402, 627, 628, 637],
        [402, 627, 637, 636],
        [403, 412, 413, 629],
        [403, 412, 629, 628],
        [403, 404, 638, 629],
        [403, 404, 629, 413],
        [403, 628, 629, 638],
        [403, 628, 638, 637],
        [146, 147, 404, 638],
        [146, 147, 638, 239],
        [146, 404, 413, 629],
        [146, 404, 629, 638],
        [146, 239, 638, 629],
        [146, 239, 629, 240],
        [27, 28, 396, 630],
        [27, 28, 630, 116],
        [27, 387, 639, 630],
        [27, 387, 630, 396],
        [27, 116, 630, 639],
        [27, 116, 639, 117],
        [387, 396, 397, 631],
        [387, 396, 631, 630],
        [387, 388, 640, 631],
        [387, 388, 631, 397],
        [387, 630, 631, 640],
        [387, 630, 640, 639],
        [388, 397, 398, 632],
        [388, 397, 632, 631],
        [388, 389, 641, 632],
        [388, 389, 632, 398],
        [388, 631, 632, 641],
        [388, 631, 641, 640],
        [389, 398, 399, 633],
        [389, 398, 633, 632],
        [389, 390, 642, 633],
        [389, 390, 633, 399],
        [389, 632, 633, 642],
        [389, 632, 642, 641],
        [390, 399, 400, 634],
        [390, 399, 634, 633],
        [390, 391, 643, 634],
        [390, 391, 634, 400],
        [390, 633, 634, 643],
        [390, 633, 643, 642],
        [391, 400, 401, 635],
        [391, 400, 635, 634],
        [391, 392, 644, 635],
        [391, 392, 635, 401],
        [391, 634, 635, 644],
        [391, 634, 644, 643],
        [392, 401, 402, 636],
        [392, 401, 636, 635],
        [392, 393, 645, 636],
        [392, 393, 636, 402],
        [392, 635, 636, 645],
        [392, 635, 645, 644],
        [393, 402, 403, 637],
        [393, 402, 637, 636],
        [393, 394, 646, 637],
        [393, 394, 637, 403],
        [393, 636, 637, 646],
        [393, 636, 646, 645],
        [394, 403, 404, 638],
        [394, 403, 638, 637],
        [394, 395, 647, 638],
        [394, 395, 638, 404],
        [394, 637, 638, 647],
        [394, 637, 647, 646],
        [147, 148, 395, 647],
        [147, 148, 647, 238],
        [147, 395, 404, 638],
        [147, 395, 638, 647],
        [147, 238, 647, 638],
        [147, 238, 638, 239],
        [26, 27, 387, 639],
        [26, 27, 639, 117],
        [26, 378, 648, 639],
        [26, 378, 639, 387],
        [26, 117, 639, 648],
        [26, 117, 648, 118],
        [378, 387, 388, 640],
        [378, 387, 640, 639],
        [378, 379, 649, 640],
        [378, 379, 640, 388],
        [378, 639, 640, 649],
        [378, 639, 649, 648],
        [379, 388, 389, 641],
        [379, 388, 641, 640],
        [379, 380, 650, 641],
        [379, 380, 641, 389],
        [379, 640, 641, 650],
        [379, 640, 650, 649],
        [380, 389, 390, 642],
        [380, 389, 642, 641],
        [380, 381, 651, 642],
        [380, 381, 642, 390],
        [380, 641, 642, 651],
        [380, 641, 651, 650],
        [381, 390, 391, 643],
        [381, 390, 643, 642],
        [381, 382, 652, 643],
        [381, 382, 643, 391],
        [381, 642, 643, 652],
        [381, 642, 652, 651],
        [382, 391, 392, 644],
        [382, 391, 644, 643],
        [382, 383, 653, 644],
        [382, 383, 644, 392],
        [382, 643, 644, 653],
        [382, 643, 653, 652],
        [383, 392, 393, 645],
        [383, 392, 645, 644],
        [383, 384, 654, 645],
        [383, 384, 645, 393],
        [383, 644, 645, 654],
        [383, 644, 654, 653],
        [384, 393, 394, 646],
        [384, 393, 646, 645],
        [384, 385, 655, 646],
        [384, 385, 646, 394],
        [384, 645, 646, 655],
        [384, 645, 655, 654],
        [385, 394, 395, 647],
        [385, 394, 647, 646],
        [385, 386, 656, 647],
        [385, 386, 647, 395],
        [385, 646, 647, 656],
        [385, 646, 656, 655],
        [148, 149, 386, 656],
        [148, 149, 656, 237],
        [148, 386, 395, 647],
        [148, 386, 647, 656],
        [148, 237, 656, 647],
        [148, 237, 647, 238],
        [25, 26, 378, 648],
        [25, 26, 648, 118],
        [25, 369, 657, 648],
        [25, 369, 648, 378],
        [25, 118, 648, 657],
        [25, 118, 657, 119],
        [369, 378, 379, 649],
        [369, 378, 649, 648],
        [369, 370, 658, 649],
        [369, 370, 649, 379],
        [369, 648, 649, 658],
        [369, 648, 658, 657],
        [370, 379, 380, 650],
        [370, 379, 650, 649],
        [370, 371, 659, 650],
        [370, 371, 650, 380],
        [370, 649, 650, 659],
        [370, 649, 659, 658],
        [371, 380, 381, 651],
        [371, 380, 651, 650],
        [371, 372, 660, 651],
        [371, 372, 651, 381],
        [371, 650, 651, 660],
        [371, 650, 660, 659],
        [372, 381, 382, 652],
        [372, 381, 652, 651],
        [372, 373, 661, 652],
        [372, 373, 652, 382],
        [372, 651, 652, 661],
        [372, 651, 661, 660],
        [373, 382, 383, 653],
        [373, 382, 653, 652],
        [373, 374, 662, 653],
        [373, 374, 653, 383],
        [373, 652, 653, 662],
        [373, 652, 662, 661],
        [374, 383, 384, 654],
        [374, 383, 654, 653],
        [374, 375, 663, 654],
        [374, 375, 654, 384],
        [374, 653, 654, 663],
        [374, 653, 663, 662],
        [375, 384, 385, 655],
        [375, 384, 655, 654],
        [375, 376, 664, 655],
        [375, 376, 655, 385],
        [375, 654, 655, 664],
        [375, 654, 664, 663],
        [376, 385, 386, 656],
        [376, 385, 656, 655],
        [376, 377, 665, 656],
        [376, 377, 656, 386],
        [376, 655, 656, 665],
        [376, 655, 665, 664],
        [149, 150, 377, 665],
        [149, 150, 665, 236],
        [149, 377, 386, 656],
        [149, 377, 656, 665],
        [149, 236, 665, 656],
        [149, 236, 656, 237],
        [24, 25, 369, 657],
        [24, 25, 657, 119],
        [24, 360, 666, 657],
        [24, 360, 657, 369],
        [24, 119, 657, 666],
        [24, 119, 666, 120],
        [360, 369, 370, 658],
        [360, 369, 658, 657],
        [360, 361, 667, 658],
        [360, 361, 658, 370],
        [360, 657, 658, 667],
        [360, 657, 667, 666],
        [361, 370, 371, 659],
        [361, 370, 659, 658],
        [361, 362, 668, 659],
        [361, 362, 659, 371],
        [361, 658, 659, 668],
        [361, 658, 668, 667],
        [362, 371, 372, 660],
        [362, 371, 660, 659],
        [362, 363, 669, 660],
        [362, 363, 660, 372],
        [362, 659, 660, 669],
        [362, 659, 669, 668],
        [363, 372, 373, 661],
        [363, 372, 661, 660],
        [363, 364, 670, 661],
        [363, 364, 661, 373],
        [363, 660, 661, 670],
        [363, 660, 670, 669],
        [364, 373, 374, 662],
        [364, 373, 662, 661],
        [364, 365, 671, 662],
        [364, 365, 662, 374],
        [364, 661, 662, 671],
        [364, 661, 671, 670],
        [365, 374, 375, 663],
        [365, 374, 663, 662],
        [365, 366, 672, 663],
        [365, 366, 663, 375],
        [365, 662, 663, 672],
        [365, 662, 672, 671],
        [366, 375, 376, 664],
        [366, 375, 664, 663],
        [366, 367, 673, 664],
        [366, 367, 664, 376],
        [366, 663, 664, 673],
        [366, 663, 673, 672],
        [367, 376, 377, 665],
        [367, 376, 665, 664],
        [367, 368, 674, 665],
        [367, 368, 665, 377],
        [367, 664, 665, 674],
        [367, 664, 674, 673],
        [150, 151, 368, 674],
        [150, 151, 674, 235],
        [150, 368, 377, 665],
        [150, 368, 665, 674],
        [150, 235, 674, 665],
        [150, 235, 665, 236],
        [23, 24, 360, 666],
        [23, 24, 666, 120],
        [23, 351, 675, 666],
        [23, 351, 666, 360],
        [23, 120, 666, 675],
        [23, 120, 675, 121],
        [351, 360, 361, 667],
        [351, 360, 667, 666],
        [351, 352, 676, 667],
        [351, 352, 667, 361],
        [351, 666, 667, 676],
        [351, 666, 676, 675],
        [352, 361, 362, 668],
        [352, 361, 668, 667],
        [352, 353, 677, 668],
        [352, 353, 668, 362],
        [352, 667, 668, 677],
        [352, 667, 677, 676],
        [353, 362, 363, 669],
        [353, 362, 669, 668],
        [353, 354, 678, 669],
        [353, 354, 669, 363],
        [353, 668, 669, 678],
        [353, 668, 678, 677],
        [354, 363, 364, 670],
        [354, 363, 670, 669],
        [354, 355, 679, 670],
        [354, 355, 670, 364],
        [354, 669, 670, 679],
        [354, 669, 679, 678],
        [355, 364, 365, 671],
        [355, 364, 671, 670],
        [355, 356, 680, 671],
        [355, 356, 671, 365],
        [355, 670, 671, 680],
        [355, 670, 680, 679],
        [356, 365, 366, 672],
        [356, 365, 672, 671],
        [356, 357, 681, 672],
        [356, 357, 672, 366],
        [356, 671, 672, 681],
        [356, 671, 681, 680],
        [357, 366, 367, 673],
        [357, 366, 673, 672],
        [357, 358, 682, 673],
        [357, 358, 673, 367],
        [357, 672, 673, 682],
        [357, 672, 682, 681],
        [358, 367, 368, 674],
        [358, 367, 674, 673],
        [358, 359, 683, 674],
        [358, 359, 674, 368],
        [358, 673, 674, 683],
        [358, 673, 683, 682],
        [151, 152, 359, 683],
        [151, 152, 683, 234],
        [151, 359, 368, 674],
        [151, 359, 674, 683],
        [151, 234, 683, 674],
        [151, 234, 674, 235],
        [12, 23, 351, 675],
        [12, 23, 675, 121],
        [12, 342, 513, 675],
        [12, 342, 675, 351],
        [12, 21, 121, 675],
        [12, 21, 675, 513],
        [342, 351, 352, 676],
        [342, 351, 676, 675],
        [342, 343, 514, 676],
        [342, 343, 676, 352],
        [342, 513, 675, 676],
        [342, 513, 676, 514],
        [343, 352, 353, 677],
        [343, 352, 677, 676],
        [343, 344, 515, 677],
        [343, 344, 677, 353],
        [343, 514, 676, 677],
        [343, 514, 677, 515],
        [344, 353, 354, 678],
        [344, 353, 678, 677],
        [344, 345, 516, 678],
        [344, 345, 678, 354],
        [344, 515, 677, 678],
        [344, 515, 678, 516],
        [345, 354, 355, 679],
        [345, 354, 679, 678],
        [345, 346, 517, 679],
        [345, 346, 679, 355],
        [345, 516, 678, 679],
        [345, 516, 679, 517],
        [346, 355, 356, 680],
        [346, 355, 680, 679],
        [346, 347, 518, 680],
        [346, 347, 680, 356],
        [346, 517, 679, 680],
        [346, 517, 680, 518],
        [347, 356, 357, 681],
        [347, 356, 681, 680],
        [347, 348, 519, 681],
        [347, 348, 681, 357],
        [347, 518, 680, 681],
        [347, 518, 681, 519],
        [348, 357, 358, 682],
        [348, 357, 682, 681],
        [348, 349, 520, 682],
        [348, 349, 682, 358],
        [348, 519, 681, 682],
        [348, 519, 682, 520],
        [349, 358, 359, 683],
        [349, 358, 683, 682],
        [349, 350, 521, 683],
        [349, 350, 683, 359],
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        [130, 539, 1277, 1268],
        [130, 131, 539, 1268],
        [130, 131, 1268, 169],
        [5, 43, 44, 1278],
        [5, 43, 1278, 1269],
        [5, 540, 1269, 1278],
        [5, 540, 1278, 549],
        [5, 6, 549, 1278],
        [5, 6, 1278, 44],
        [540, 1269, 1278, 1279],
        [540, 1269, 1279, 1270],
        [540, 541, 1270, 1279],
        [540, 541, 1279, 550],
        [540, 549, 550, 1279],
        [540, 549, 1279, 1278],
        [541, 1270, 1279, 1280],
        [541, 1270, 1280, 1271],
        [541, 542, 1271, 1280],
        [541, 542, 1280, 551],
        [541, 550, 551, 1280],
        [541, 550, 1280, 1279],
        [542, 1271, 1280, 1281],
        [542, 1271, 1281, 1272],
        [542, 543, 1272, 1281],
        [542, 543, 1281, 552],
        [542, 551, 552, 1281],
        [542, 551, 1281, 1280],
        [543, 1272, 1281, 1282],
        [543, 1272, 1282, 1273],
        [543, 544, 1273, 1282],
        [543, 544, 1282, 553],
        [543, 552, 553, 1282],
        [543, 552, 1282, 1281],
        [544, 1273, 1282, 1283],
        [544, 1273, 1283, 1274],
        [544, 545, 1274, 1283],
        [544, 545, 1283, 554],
        [544, 553, 554, 1283],
        [544, 553, 1283, 1282],
        [545, 1274, 1283, 1284],
        [545, 1274, 1284, 1275],
        [545, 546, 1275, 1284],
        [545, 546, 1284, 555],
        [545, 554, 555, 1284],
        [545, 554, 1284, 1283],
        [546, 1275, 1284, 1285],
        [546, 1275, 1285, 1276],
        [546, 547, 1276, 1285],
        [546, 547, 1285, 556],
        [546, 555, 556, 1285],
        [546, 555, 1285, 1284],
        [547, 1276, 1285, 1286],
        [547, 1276, 1286, 1277],
        [547, 548, 1277, 1286],
        [547, 548, 1286, 557],
        [547, 556, 557, 1286],
        [547, 556, 1286, 1285],
        [129, 167, 168, 1277],
        [129, 167, 1277, 1286],
        [129, 548, 557, 1286],
        [129, 548, 1286, 1277],
        [129, 130, 548, 1277],
        [129, 130, 1277, 168],
        [6, 44, 45, 1287],
        [6, 44, 1287, 1278],
        [6, 549, 1278, 1287],
        [6, 549, 1287, 558],
        [6, 7, 558, 1287],
        [6, 7, 1287, 45],
        [549, 1278, 1287, 1288],
        [549, 1278, 1288, 1279],
        [549, 550, 1279, 1288],
        [549, 550, 1288, 559],
        [549, 558, 559, 1288],
        [549, 558, 1288, 1287],
        [550, 1279, 1288, 1289],
        [550, 1279, 1289, 1280],
        [550, 551, 1280, 1289],
        [550, 551, 1289, 560],
        [550, 559, 560, 1289],
        [550, 559, 1289, 1288],
        [551, 1280, 1289, 1290],
        [551, 1280, 1290, 1281],
        [551, 552, 1281, 1290],
        [551, 552, 1290, 561],
        [551, 560, 561, 1290],
        [551, 560, 1290, 1289],
        [552, 1281, 1290, 1291],
        [552, 1281, 1291, 1282],
        [552, 553, 1282, 1291],
        [552, 553, 1291, 562],
        [552, 561, 562, 1291],
        [552, 561, 1291, 1290],
        [553, 1282, 1291, 1292],
        [553, 1282, 1292, 1283],
        [553, 554, 1283, 1292],
        [553, 554, 1292, 563],
        [553, 562, 563, 1292],
        [553, 562, 1292, 1291],
        [554, 1283, 1292, 1293],
        [554, 1283, 1293, 1284],
        [554, 555, 1284, 1293],
        [554, 555, 1293, 564],
        [554, 563, 564, 1293],
        [554, 563, 1293, 1292],
        [555, 1284, 1293, 1294],
        [555, 1284, 1294, 1285],
        [555, 556, 1285, 1294],
        [555, 556, 1294, 565],
        [555, 564, 565, 1294],
        [555, 564, 1294, 1293],
        [556, 1285, 1294, 1295],
        [556, 1285, 1295, 1286],
        [556, 557, 1286, 1295],
        [556, 557, 1295, 566],
        [556, 565, 566, 1295],
        [556, 565, 1295, 1294],
        [128, 166, 167, 1286],
        [128, 166, 1286, 1295],
        [128, 557, 566, 1295],
        [128, 557, 1295, 1286],
        [128, 129, 557, 1286],
        [128, 129, 1286, 167],
        [7, 45, 46, 1296],
        [7, 45, 1296, 1287],
        [7, 558, 1287, 1296],
        [7, 558, 1296, 567],
        [7, 8, 567, 1296],
        [7, 8, 1296, 46],
        [558, 1287, 1296, 1297],
        [558, 1287, 1297, 1288],
        [558, 559, 1288, 1297],
        [558, 559, 1297, 568],
        [558, 567, 568, 1297],
        [558, 567, 1297, 1296],
        [559, 1288, 1297, 1298],
        [559, 1288, 1298, 1289],
        [559, 560, 1289, 1298],
        [559, 560, 1298, 569],
        [559, 568, 569, 1298],
        [559, 568, 1298, 1297],
        [560, 1289, 1298, 1299],
        [560, 1289, 1299, 1290],
        [560, 561, 1290, 1299],
        [560, 561, 1299, 570],
        [560, 569, 570, 1299],
        [560, 569, 1299, 1298],
        [561, 1290, 1299, 1300],
        [561, 1290, 1300, 1291],
        [561, 562, 1291, 1300],
        [561, 562, 1300, 571],
        [561, 570, 571, 1300],
        [561, 570, 1300, 1299],
        [562, 1291, 1300, 1301],
        [562, 1291, 1301, 1292],
        [562, 563, 1292, 1301],
        [562, 563, 1301, 572],
        [562, 571, 572, 1301],
        [562, 571, 1301, 1300],
        [563, 1292, 1301, 1302],
        [563, 1292, 1302, 1293],
        [563, 564, 1293, 1302],
        [563, 564, 1302, 573],
        [563, 572, 573, 1302],
        [563, 572, 1302, 1301],
        [564, 1293, 1302, 1303],
        [564, 1293, 1303, 1294],
        [564, 565, 1294, 1303],
        [564, 565, 1303, 574],
        [564, 573, 574, 1303],
        [564, 573, 1303, 1302],
        [565, 1294, 1303, 1304],
        [565, 1294, 1304, 1295],
        [565, 566, 1295, 1304],
        [565, 566, 1304, 575],
        [565, 574, 575, 1304],
        [565, 574, 1304, 1303],
        [127, 165, 166, 1295],
        [127, 165, 1295, 1304],
        [127, 566, 575, 1304],
        [127, 566, 1304, 1295],
        [127, 128, 566, 1295],
        [127, 128, 1295, 166],
        [8, 46, 47, 1305],
        [8, 46, 1305, 1296],
        [8, 567, 1296, 1305],
        [8, 567, 1305, 576],
        [8, 9, 576, 1305],
        [8, 9, 1305, 47],
        [567, 1296, 1305, 1306],
        [567, 1296, 1306, 1297],
        [567, 568, 1297, 1306],
        [567, 568, 1306, 577],
        [567, 576, 577, 1306],
        [567, 576, 1306, 1305],
        [568, 1297, 1306, 1307],
        [568, 1297, 1307, 1298],
        [568, 569, 1298, 1307],
        [568, 569, 1307, 578],
        [568, 577, 578, 1307],
        [568, 577, 1307, 1306],
        [569, 1298, 1307, 1308],
        [569, 1298, 1308, 1299],
        [569, 570, 1299, 1308],
        [569, 570, 1308, 579],
        [569, 578, 579, 1308],
        [569, 578, 1308, 1307],
        [570, 1299, 1308, 1309],
        [570, 1299, 1309, 1300],
        [570, 571, 1300, 1309],
        [570, 571, 1309, 580],
        [570, 579, 580, 1309],
        [570, 579, 1309, 1308],
        [571, 1300, 1309, 1310],
        [571, 1300, 1310, 1301],
        [571, 572, 1301, 1310],
        [571, 572, 1310, 581],
        [571, 580, 581, 1310],
        [571, 580, 1310, 1309],
        [572, 1301, 1310, 1311],
        [572, 1301, 1311, 1302],
        [572, 573, 1302, 1311],
        [572, 573, 1311, 582],
        [572, 581, 582, 1311],
        [572, 581, 1311, 1310],
        [573, 1302, 1311, 1312],
        [573, 1302, 1312, 1303],
        [573, 574, 1303, 1312],
        [573, 574, 1312, 583],
        [573, 582, 583, 1312],
        [573, 582, 1312, 1311],
        [574, 1303, 1312, 1313],
        [574, 1303, 1313, 1304],
        [574, 575, 1304, 1313],
        [574, 575, 1313, 584],
        [574, 583, 584, 1313],
        [574, 583, 1313, 1312],
        [126, 164, 165, 1304],
        [126, 164, 1304, 1313],
        [126, 575, 584, 1313],
        [126, 575, 1313, 1304],
        [126, 127, 575, 1304],
        [126, 127, 1304, 165],
        [9, 47, 48, 1314],
        [9, 47, 1314, 1305],
        [9, 576, 1305, 1314],
        [9, 576, 1314, 585],
        [9, 10, 585, 1314],
        [9, 10, 1314, 48],
        [576, 1305, 1314, 1315],
        [576, 1305, 1315, 1306],
        [576, 577, 1306, 1315],
        [576, 577, 1315, 586],
        [576, 585, 586, 1315],
        [576, 585, 1315, 1314],
        [577, 1306, 1315, 1316],
        [577, 1306, 1316, 1307],
        [577, 578, 1307, 1316],
        [577, 578, 1316, 587],
        [577, 586, 587, 1316],
        [577, 586, 1316, 1315],
        [578, 1307, 1316, 1317],
        [578, 1307, 1317, 1308],
        [578, 579, 1308, 1317],
        [578, 579, 1317, 588],
        [578, 587, 588, 1317],
        [578, 587, 1317, 1316],
        [579, 1308, 1317, 1318],
        [579, 1308, 1318, 1309],
        [579, 580, 1309, 1318],
        [579, 580, 1318, 589],
        [579, 588, 589, 1318],
        [579, 588, 1318, 1317],
        [580, 1309, 1318, 1319],
        [580, 1309, 1319, 1310],
        [580, 581, 1310, 1319],
        [580, 581, 1319, 590],
        [580, 589, 590, 1319],
        [580, 589, 1319, 1318],
        [581, 1310, 1319, 1320],
        [581, 1310, 1320, 1311],
        [581, 582, 1311, 1320],
        [581, 582, 1320, 591],
        [581, 590, 591, 1320],
        [581, 590, 1320, 1319],
        [582, 1311, 1320, 1321],
        [582, 1311, 1321, 1312],
        [582, 583, 1312, 1321],
        [582, 583, 1321, 592],
        [582, 591, 592, 1321],
        [582, 591, 1321, 1320],
        [583, 1312, 1321, 1322],
        [583, 1312, 1322, 1313],
        [583, 584, 1313, 1322],
        [583, 584, 1322, 593],
        [583, 592, 593, 1322],
        [583, 592, 1322, 1321],
        [125, 163, 164, 1313],
        [125, 163, 1313, 1322],
        [125, 584, 593, 1322],
        [125, 584, 1322, 1313],
        [125, 126, 584, 1313],
        [125, 126, 1313, 164],
        [10, 48, 49, 1323],
        [10, 48, 1323, 1314],
        [10, 585, 1314, 1323],
        [10, 585, 1323, 594],
        [10, 11, 594, 1323],
        [10, 11, 1323, 49],
        [585, 1314, 1323, 1324],
        [585, 1314, 1324, 1315],
        [585, 586, 1315, 1324],
        [585, 586, 1324, 595],
        [585, 594, 595, 1324],
        [585, 594, 1324, 1323],
        [586, 1315, 1324, 1325],
        [586, 1315, 1325, 1316],
        [586, 587, 1316, 1325],
        [586, 587, 1325, 596],
        [586, 595, 596, 1325],
        [586, 595, 1325, 1324],
        [587, 1316, 1325, 1326],
        [587, 1316, 1326, 1317],
        [587, 588, 1317, 1326],
        [587, 588, 1326, 597],
        [587, 596, 597, 1326],
        [587, 596, 1326, 1325],
        [588, 1317, 1326, 1327],
        [588, 1317, 1327, 1318],
        [588, 589, 1318, 1327],
        [588, 589, 1327, 598],
        [588, 597, 598, 1327],
        [588, 597, 1327, 1326],
        [589, 1318, 1327, 1328],
        [589, 1318, 1328, 1319],
        [589, 590, 1319, 1328],
        [589, 590, 1328, 599],
        [589, 598, 599, 1328],
        [589, 598, 1328, 1327],
        [590, 1319, 1328, 1329],
        [590, 1319, 1329, 1320],
        [590, 591, 1320, 1329],
        [590, 591, 1329, 600],
        [590, 599, 600, 1329],
        [590, 599, 1329, 1328],
        [591, 1320, 1329, 1330],
        [591, 1320, 1330, 1321],
        [591, 592, 1321, 1330],
        [591, 592, 1330, 601],
        [591, 600, 601, 1330],
        [591, 600, 1330, 1329],
        [592, 1321, 1330, 1331],
        [592, 1321, 1331, 1322],
        [592, 593, 1322, 1331],
        [592, 593, 1331, 602],
        [592, 601, 602, 1331],
        [592, 601, 1331, 1330],
        [124, 162, 163, 1322],
        [124, 162, 1322, 1331],
        [124, 593, 602, 1331],
        [124, 593, 1331, 1322],
        [124, 125, 593, 1322],
        [124, 125, 1322, 163],
        [2, 13, 441, 1323],
        [2, 13, 1323, 49],
        [2, 432, 594, 1323],
        [2, 432, 1323, 441],
        [2, 11, 49, 1323],
        [2, 11, 1323, 594],
        [432, 441, 442, 1324],
        [432, 441, 1324, 1323],
        [432, 433, 595, 1324],
        [432, 433, 1324, 442],
        [432, 594, 1323, 1324],
        [432, 594, 1324, 595],
        [433, 442, 443, 1325],
        [433, 442, 1325, 1324],
        [433, 434, 596, 1325],
        [433, 434, 1325, 443],
        [433, 595, 1324, 1325],
        [433, 595, 1325, 596],
        [434, 443, 444, 1326],
        [434, 443, 1326, 1325],
        [434, 435, 597, 1326],
        [434, 435, 1326, 444],
        [434, 596, 1325, 1326],
        [434, 596, 1326, 597],
        [435, 444, 445, 1327],
        [435, 444, 1327, 1326],
        [435, 436, 598, 1327],
        [435, 436, 1327, 445],
        [435, 597, 1326, 1327],
        [435, 597, 1327, 598],
        [436, 445, 446, 1328],
        [436, 445, 1328, 1327],
        [436, 437, 599, 1328],
        [436, 437, 1328, 446],
        [436, 598, 1327, 1328],
        [436, 598, 1328, 599],
        [437, 446, 447, 1329],
        [437, 446, 1329, 1328],
        [437, 438, 600, 1329],
        [437, 438, 1329, 447],
        [437, 599, 1328, 1329],
        [437, 599, 1329, 600],
        [438, 447, 448, 1330],
        [438, 447, 1330, 1329],
        [438, 439, 601, 1330],
        [438, 439, 1330, 448],
        [438, 600, 1329, 1330],
        [438, 600, 1330, 601],
        [439, 448, 449, 1331],
        [439, 448, 1331, 1330],
        [439, 440, 602, 1331],
        [439, 440, 1331, 449],
        [439, 601, 1330, 1331],
        [439, 601, 1331, 602],
        [122, 161, 162, 1331],
        [122, 161, 1331, 449],
        [122, 440, 449, 1331],
        [122, 440, 1331, 602],
        [122, 124, 602, 1331],
        [122, 124, 1331, 162],
    ]
}

fn coordinates() -> NodalReferenceCoordinates {
    NodalReferenceCoordinates::from([
        [5.000000e-01, -5.000000e-01, 5.000000e-01],
        [5.000000e-01, 5.000000e-01, 5.000000e-01],
        [5.000000e-01, -4.000000e-01, 5.000000e-01],
        [5.000000e-01, -3.000000e-01, 5.000000e-01],
        [5.000000e-01, -2.000000e-01, 5.000000e-01],
        [5.000000e-01, -1.000000e-01, 5.000000e-01],
        [5.000000e-01, 0.000000e+00, 5.000000e-01],
        [5.000000e-01, 1.000000e-01, 5.000000e-01],
        [5.000000e-01, 2.000000e-01, 5.000000e-01],
        [5.000000e-01, 3.000000e-01, 5.000000e-01],
        [5.000000e-01, 4.000000e-01, 5.000000e-01],
        [-5.000000e-01, 5.000000e-01, 5.000000e-01],
        [4.000000e-01, 5.000000e-01, 5.000000e-01],
        [3.000000e-01, 5.000000e-01, 5.000000e-01],
        [2.000000e-01, 5.000000e-01, 5.000000e-01],
        [1.000000e-01, 5.000000e-01, 5.000000e-01],
        [0.000000e+00, 5.000000e-01, 5.000000e-01],
        [-1.000000e-01, 5.000000e-01, 5.000000e-01],
        [-2.000000e-01, 5.000000e-01, 5.000000e-01],
        [-3.000000e-01, 5.000000e-01, 5.000000e-01],
        [-4.000000e-01, 5.000000e-01, 5.000000e-01],
        [-5.000000e-01, -5.000000e-01, 5.000000e-01],
        [-5.000000e-01, 4.000000e-01, 5.000000e-01],
        [-5.000000e-01, 3.000000e-01, 5.000000e-01],
        [-5.000000e-01, 2.000000e-01, 5.000000e-01],
        [-5.000000e-01, 1.000000e-01, 5.000000e-01],
        [-5.000000e-01, 0.000000e+00, 5.000000e-01],
        [-5.000000e-01, -1.000000e-01, 5.000000e-01],
        [-5.000000e-01, -2.000000e-01, 5.000000e-01],
        [-5.000000e-01, -3.000000e-01, 5.000000e-01],
        [-5.000000e-01, -4.000000e-01, 5.000000e-01],
        [-4.000000e-01, -5.000000e-01, 5.000000e-01],
        [-3.000000e-01, -5.000000e-01, 5.000000e-01],
        [-2.000000e-01, -5.000000e-01, 5.000000e-01],
        [-1.000000e-01, -5.000000e-01, 5.000000e-01],
        [0.000000e+00, -5.000000e-01, 5.000000e-01],
        [1.000000e-01, -5.000000e-01, 5.000000e-01],
        [2.000000e-01, -5.000000e-01, 5.000000e-01],
        [3.000000e-01, -5.000000e-01, 5.000000e-01],
        [4.000000e-01, -5.000000e-01, 5.000000e-01],
        [4.000000e-01, -4.000000e-01, 5.000000e-01],
        [4.000000e-01, -3.000000e-01, 5.000000e-01],
        [4.000000e-01, -2.000000e-01, 5.000000e-01],
        [4.000000e-01, -1.000000e-01, 5.000000e-01],
        [4.000000e-01, 0.000000e+00, 5.000000e-01],
        [4.000000e-01, 1.000000e-01, 5.000000e-01],
        [4.000000e-01, 2.000000e-01, 5.000000e-01],
        [4.000000e-01, 3.000000e-01, 5.000000e-01],
        [4.000000e-01, 4.000000e-01, 5.000000e-01],
        [3.000000e-01, -4.000000e-01, 5.000000e-01],
        [3.000000e-01, -3.000000e-01, 5.000000e-01],
        [3.000000e-01, -2.000000e-01, 5.000000e-01],
        [3.000000e-01, -1.000000e-01, 5.000000e-01],
        [3.000000e-01, -6.938894e-18, 5.000000e-01],
        [3.000000e-01, 1.000000e-01, 5.000000e-01],
        [3.000000e-01, 2.000000e-01, 5.000000e-01],
        [3.000000e-01, 3.000000e-01, 5.000000e-01],
        [3.000000e-01, 4.000000e-01, 5.000000e-01],
        [2.000000e-01, -4.000000e-01, 5.000000e-01],
        [2.000000e-01, -3.000000e-01, 5.000000e-01],
        [2.000000e-01, -2.000000e-01, 5.000000e-01],
        [2.000000e-01, -1.000000e-01, 5.000000e-01],
        [2.000000e-01, 1.387779e-17, 5.000000e-01],
        [2.000000e-01, 1.000000e-01, 5.000000e-01],
        [2.000000e-01, 2.000000e-01, 5.000000e-01],
        [2.000000e-01, 3.000000e-01, 5.000000e-01],
        [2.000000e-01, 4.000000e-01, 5.000000e-01],
        [1.000000e-01, -4.000000e-01, 5.000000e-01],
        [1.000000e-01, -3.000000e-01, 5.000000e-01],
        [1.000000e-01, -2.000000e-01, 5.000000e-01],
        [1.000000e-01, -1.000000e-01, 5.000000e-01],
        [1.000000e-01, -1.387779e-17, 5.000000e-01],
        [1.000000e-01, 1.000000e-01, 5.000000e-01],
        [1.000000e-01, 2.000000e-01, 5.000000e-01],
        [1.000000e-01, 3.000000e-01, 5.000000e-01],
        [1.000000e-01, 4.000000e-01, 5.000000e-01],
        [0.000000e+00, -4.000000e-01, 5.000000e-01],
        [0.000000e+00, -3.000000e-01, 5.000000e-01],
        [0.000000e+00, -2.000000e-01, 5.000000e-01],
        [0.000000e+00, -1.000000e-01, 5.000000e-01],
        [0.000000e+00, 0.000000e+00, 5.000000e-01],
        [0.000000e+00, 1.000000e-01, 5.000000e-01],
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        [0.000000e+00, 3.000000e-01, 5.000000e-01],
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        [4.000000e-01, 4.000000e-01, -1.000000e-01],
        [4.000000e-01, 4.000000e-01, -2.000000e-01],
        [4.000000e-01, 4.000000e-01, -3.000000e-01],
        [4.000000e-01, 4.000000e-01, -4.000000e-01],
    ])
}

#[test]
fn temporary_hyperelastic() -> Result<(), TestError> {
    let strain = 13.0;
    let ref_coordinates = coordinates();
    let mut connectivity = connectivity();
    connectivity
        .iter_mut()
        .flatten()
        .for_each(|entry| *entry -= 1);
    let num_nodes = ref_coordinates.len();
    let model = NeoHookean {
        bulk_modulus: 13.0,
        shear_modulus: 3.0,
    };
    let block = Block::<_, LinearTetrahedron, G, M, N, P>::from((
        model.clone(),
        connectivity,
        coordinates(),
    ));
    let length = ref_coordinates
        .iter()
        .filter(|coordinate| coordinate[0].abs() == 0.5)
        .count()
        + 3;
    let width = num_nodes * 3;
    let mut matrix = Matrix::zero(length, width);
    let mut vector = Vector::zero(length);
    let mut index = 0;
    coordinates()
        .iter()
        .enumerate()
        .for_each(|(node, coordinate)| {
            if coordinate[0].abs() == 0.5 {
                matrix[index][3 * node] = 1.0;
                if coordinate[0] > 0.0 {
                    vector[index] = coordinate[0] + strain
                } else {
                    vector[index] = coordinate[0]
                }
                index += 1;
            }
        });
    matrix[length - 3][132 * 3 + 1] = 1.0;
    matrix[length - 2][132 * 3 + 2] = 1.0;
    matrix[length - 1][142 * 3 + 2] = 1.0;
    vector[length - 3] = -0.5;
    vector[length - 2] = -0.5;
    vector[length - 1] = -0.5;
    let mut time = std::time::Instant::now();
    println!("Solving...");
    let solution = block.minimize(
        EqualityConstraint::Linear(matrix, vector),
        NewtonRaphson::default(),
    )?;
    println!("Done ({:?}).", time.elapsed());
    time = std::time::Instant::now();
    println!("Verifying...");
    let deformation_gradient = model.minimize(
        AppliedDeformation::UniaxialStress(strain + 1.0),
        NewtonRaphson::default(),
    )?;
    block
        .deformation_gradients(&solution)
        .iter()
        .try_for_each(|deformation_gradients_e| {
            deformation_gradients_e
                .iter()
                .try_for_each(|deformation_gradient_g| {
                    assert_eq_within_tols(deformation_gradient_g, &deformation_gradient)
                })
        })?;
    println!("Done ({:?}).", time.elapsed());
    Ok(())
}

fn bcs_temporary_elastic_viscoplastic_vector(t: Scalar) -> Vector {
    let strain_rate = 1.0; // also set below
    let ref_coordinates = coordinates();
    let length = ref_coordinates
        .iter()
        .filter(|coordinate| coordinate[0].abs() == 0.5)
        .count()
        + 3;
    let mut vector = Vector::zero(length);
    let mut index = 0;
    coordinates().iter().for_each(|coordinate| {
        if coordinate[0].abs() == 0.5 {
            if coordinate[0] > 0.0 {
                vector[index] = coordinate[0] + strain_rate * t
            } else {
                vector[index] = coordinate[0]
            }
            index += 1;
        }
    });
    vector[length - 3] = -0.5;
    vector[length - 2] = -0.5;
    vector[length - 1] = -0.5;
    vector
}

fn bcs_temporary_elastic_viscoplastic(t: Scalar) -> EqualityConstraint {
    let num_nodes = coordinates().len();
    let length = coordinates()
        .iter()
        .filter(|coordinate| coordinate[0].abs() == 0.5)
        .count()
        + 3;
    let width = num_nodes * 3;
    let mut matrix = Matrix::zero(length, width);
    let mut index = 0;
    coordinates()
        .iter()
        .enumerate()
        .for_each(|(node, coordinate)| {
            if coordinate[0].abs() == 0.5 {
                matrix[index][3 * node] = 1.0;
                index += 1;
            }
        });
    matrix[length - 3][132 * 3 + 1] = 1.0;
    matrix[length - 2][132 * 3 + 2] = 1.0;
    matrix[length - 1][142 * 3 + 2] = 1.0;
    EqualityConstraint::Linear(matrix, bcs_temporary_elastic_viscoplastic_vector(t))
}

#[test]
fn temporary_elastic_viscoplastic() -> Result<(), TestError> {
    use conspire::math::integrate::BogackiShampine;
    let tol = 1e-4;
    let tspan = [0.0, 2.0];
    let mut connectivity = connectivity();
    connectivity
        .iter_mut()
        .flatten()
        .for_each(|entry| *entry -= 1);
    let model = SaintVenantKirchhoff {
        bulk_modulus: 13.0,
        shear_modulus: 3.0,
        yield_stress: 2.0,
        hardening_slope: 1.0,
        rate_sensitivity: 0.25,
        reference_flow_rate: 0.1,
    };
    let block = Block::<_, LinearTetrahedron, G, M, N, P>::from((
        model.clone(),
        connectivity,
        coordinates(),
    ));
    let mut time = std::time::Instant::now();
    println!("Solving...");
    let (times, coordinates_history, state_variables_history) = block.minimize(
        BogackiShampine {
            abs_tol: tol,
            rel_tol: tol,
            ..Default::default()
        },
        NewtonRaphson::default(),
        &tspan,
        bcs_temporary_elastic_viscoplastic,
    )?;
    println!("Done ({:?}).", time.elapsed());
    time = std::time::Instant::now();
    println!("Verifying...");
    let (_, deformation_gradients, state_variables) = model.minimize(
        AppliedLoad::UniaxialStress(|t| 1.0 + 1.0 * t, times.as_slice()),
        BogackiShampine::default(),
        NewtonRaphson::default(),
    )?;
    coordinates_history
        .iter()
        .zip(
            state_variables_history
                .iter()
                .zip(deformation_gradients.iter().zip(state_variables.iter())),
        )
        .try_for_each(
            |(
                coordinates,
                (state_variables_block, (deformation_gradient, state_variables_model)),
            )| {
                block
                    .deformation_gradients(coordinates)
                    .iter()
                    .try_for_each(|deformation_gradients| {
                        deformation_gradients
                            .iter()
                            .try_for_each(|deformation_gradient_g| {
                                assert_eq_within(
                                    deformation_gradient_g,
                                    deformation_gradient,
                                    1e1 * tol,
                                    1e1 * tol,
                                )
                            })
                    })?;
                let (deformation_gradient_p, yield_stress) = state_variables_model.into();
                state_variables_block
                    .iter()
                    .try_for_each(|state_variables_element| {
                        state_variables_element
                            .iter()
                            .try_for_each(|state_variables_g| {
                                let (deformation_gradient_p_g, yield_stress_g) =
                                    state_variables_g.into();
                                assert_eq_within(
                                    deformation_gradient_p_g,
                                    deformation_gradient_p,
                                    1e1 * tol,
                                    1e1 * tol,
                                )?;
                                assert_eq_within(yield_stress_g, yield_stress, 1e1 * tol, 1e1 * tol)
                            })
                    })
            },
        )?;
    println!("Done ({:?}).", time.elapsed());
    Ok(())
}

#[test]
fn temporary_hyperviscoelastic() -> Result<(), TestError> {
    let tol = 1e-4;
    let strain_rate = 2.3; // also set below
    let tspan = [0.0, 1.0];
    let ref_coordinates = coordinates();
    let mut connectivity = connectivity();
    connectivity
        .iter_mut()
        .flatten()
        .for_each(|entry| *entry -= 1);
    let num_nodes = ref_coordinates.len();
    let model = AlmansiHamel {
        bulk_modulus: 13.0,
        shear_modulus: 3.0,
        bulk_viscosity: 11.0,
        shear_viscosity: 1.0,
    };
    let block = Block::<_, LinearTetrahedron, G, M, N, P>::from((
        model.clone(),
        connectivity,
        coordinates(),
    ));
    let length = ref_coordinates
        .iter()
        .filter(|coordinate| coordinate[0].abs() == 0.5)
        .count()
        + 3;
    let width = num_nodes * 3;
    let mut matrix = Matrix::zero(length, width);
    let mut vector = Vector::zero(length);
    let mut index = 0;
    coordinates()
        .iter()
        .enumerate()
        .for_each(|(node, coordinate)| {
            if coordinate[0].abs() == 0.5 {
                matrix[index][3 * node] = 1.0;
                if coordinate[0] > 0.0 {
                    vector[index] = strain_rate
                } else {
                    vector[index] = 0.0
                }
                index += 1;
            }
        });
    matrix[length - 3][132 * 3 + 1] = 1.0;
    matrix[length - 2][132 * 3 + 2] = 1.0;
    matrix[length - 1][142 * 3 + 2] = 1.0;
    vector[length - 3] = 0.0;
    vector[length - 2] = 0.0;
    vector[length - 1] = 0.0;
    let mut time = std::time::Instant::now();
    println!("Solving...");
    let (times, coordinates_history, velocities_history) = block.minimize(
        EqualityConstraint::Linear(matrix, vector),
        DormandPrince {
            abs_tol: tol,
            rel_tol: tol,
            ..Default::default()
        },
        &tspan,
        NewtonRaphson::default(),
    )?;
    println!("Done ({:?}).", time.elapsed());
    time = std::time::Instant::now();
    println!("Verifying...");
    let (_, deformation_gradients, deformation_gradient_rates) = model.minimize(
        AppliedDeformationRate::UniaxialStress(|_| 2.3, times.as_slice()),
        DormandPrince::default(),
        NewtonRaphson::default(),
    )?;
    coordinates_history
        .iter()
        .zip(
            velocities_history.iter().zip(
                deformation_gradients
                    .iter()
                    .zip(deformation_gradient_rates.iter()),
            ),
        )
        .try_for_each(
            |(coordinates, (velocities, (deformation_gradient, deformation_gradient_rate)))| {
                block
                    .deformation_gradients(coordinates)
                    .iter()
                    .try_for_each(|deformation_gradients| {
                        deformation_gradients
                            .iter()
                            .try_for_each(|deformation_gradient_g| {
                                assert_eq_within(
                                    deformation_gradient_g,
                                    deformation_gradient,
                                    tol,
                                    tol,
                                )
                            })
                    })?;
                block
                    .deformation_gradient_rates(coordinates, velocities)
                    .iter()
                    .try_for_each(|deformation_gradient_rates| {
                        deformation_gradient_rates.iter().try_for_each(
                            |deformation_gradient_rate_g| {
                                assert_eq_within(
                                    deformation_gradient_rate_g,
                                    deformation_gradient_rate,
                                    tol,
                                    tol,
                                )
                            },
                        )
                    })
            },
        )?;
    println!("Done ({:?}).", time.elapsed());
    Ok(())
}

#[test]
fn temporary_thermal_conduction() -> Result<(), TestError> {
    let temperature = 13.0;
    let ref_coordinates = coordinates();
    let mut connectivity = connectivity();
    connectivity
        .iter_mut()
        .flatten()
        .for_each(|entry| *entry -= 1);
    let num_nodes = ref_coordinates.len();
    let model = Fourier {
        thermal_conductivity: 1.0,
    };
    let block = Block::<_, LinearTetrahedron, G, M, N, P>::from((
        model.clone(),
        connectivity,
        coordinates(),
    ));
    let length = ref_coordinates
        .iter()
        .filter(|coordinate| coordinate[0].abs() == 0.5)
        .count();
    let width = num_nodes;
    let mut matrix = Matrix::zero(length, width);
    let mut vector = Vector::zero(length);
    let mut index = 0;
    coordinates()
        .iter()
        .enumerate()
        .for_each(|(node, coordinate)| {
            if coordinate[0].abs() == 0.5 {
                matrix[index][node] = 1.0;
                if coordinate[0] > 0.0 {
                    vector[index] = temperature
                } else {
                    vector[index] = 0.0
                }
                index += 1;
            }
        });
    let mut time = std::time::Instant::now();
    println!("Solving...");
    let solution = block.minimize(
        EqualityConstraint::Linear(matrix, vector),
        NewtonRaphson {
            max_steps: 1,
            ..Default::default()
        },
    )?;
    println!("Done ({:?}).", time.elapsed());
    time = std::time::Instant::now();
    println!("Verifying...");
    let temperature_gradient = TemperatureGradient::from([temperature, 0.0, 0.0]);
    block
        .temperature_gradients(&solution)
        .iter()
        .try_for_each(|temperature_gradients_e| {
            temperature_gradients_e
                .iter()
                .try_for_each(|temperature_gradient_g| {
                    assert_eq_within_tols(temperature_gradient_g, &temperature_gradient)
                })
        })?;
    println!("Done ({:?}).", time.elapsed());
    Ok(())
}