How to use the quadpy.c2._helpers.C2Scheme function in quadpy

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github nschloe / quadpy / quadpy / c2 / _tyler.py View on Github external
def tyler_1():
    weights, points = concat(
        zero(-frac(28, 45)),
        symm_s([frac(1, 36), 1]),
        symm_r0([frac(1, 45), 1], [frac(16, 45), frac(1, 2)]),
    )
    return C2Scheme("Tyler 1", weights, points, 5, source)
github nschloe / quadpy / quadpy / c2 / _dunavant.py View on Github external
def dunavant_01():
    weights, points = symm_s([1, sqrt(frac(1, 3))])
    weights /= 4
    return C2Scheme("Dunavant 1", weights, points, 3, source)
github nschloe / quadpy / quadpy / c2 / _maxwell.py View on Github external
def maxwell():
    r = sqrt(frac(12, 35))
    s, t = [sqrt((93 + i * 3 * sqrt(186)) / 155) for i in [+1, -1]]

    weights, points = concat(
        zero(frac(1, 81)),
        symm_r0([frac(49, 324), r]),
        # ERR typo in Stroud: 648 vs 649
        symm_s_t([frac(31, 648), s, t]),
    )
    return C2Scheme("Maxwell", weights, points, 7, source)
github nschloe / quadpy / quadpy / c2 / _tyler.py View on Github external
def tyler_2():
    r = sqrt(frac(6, 7))
    s, t = [sqrt((114 - i * 3 * sqrt(583)) / 287) for i in [+1, -1]]
    B1 = frac(49, 810)
    B2, B3 = [(178981 + i * 2769 * sqrt(583)) / 1888920 for i in [+1, -1]]
    weights, points = concat(symm_r0([B1, r]), symm_s([B2, s], [B3, t]))
    return C2Scheme("Tyler 2", weights, points, 7, source)
github nschloe / quadpy / quadpy / c2 / _franke.py View on Github external
def franke_6():
    a = sqrt(frac(3, 2))
    b = sqrt(frac(3, 7) * (1 + sqrt(frac(10, 31))))
    c = sqrt(frac(3, 7) * (1 - sqrt(frac(10, 31))))

    weights, points = concat(
        zero(frac(392, 405)),
        symm_s([frac(16, 2025), a]),
        symm_s_t([frac(1519, 4050), b, c]),
    )
    weights /= 4
    return C2Scheme("Franke 6", weights, points, 7, source)
github nschloe / quadpy / quadpy / c2 / _hammer_stroud.py View on Github external
def hammer_stroud_1_2():
    data = [(frac(1, 4), fsd(2, (sqrt(frac(2, 3)), 1)))]
    points, weights = untangle(data)
    return C2Scheme("Hammer-Stroud 1-2", weights, points, 3, source)
github nschloe / quadpy / quadpy / c2 / _franke.py View on Github external
weights, points = concat(
        pm2(
            [0.499290623065150e-1, 0.945813739519925, a],
            [0.158445182284802, 0.465346624836203, a],
            [0.183383788151247, 0.804253925742002, b],
            [0.881476523665422e-1, 0.681385892163677, b],
        ),
        pm(
            [0.114456375561331, 0.963018409085396, 0.0],
            [0.454432513327558, 0.428610143223121, 0.0],
            [0.571052809297435e-1, 0.0, a],
            [0.414194459963155, 0.0, b],
        ),
    )
    weights /= 4
    return C2Scheme("Franke 3b", weights, points, 9, source)
github nschloe / quadpy / quadpy / c2 / _haegemans_piessens.py View on Github external
def haegemans_piessens():
    weights, points = concat(
        pm2(
            [0.213057211620949126, 0.9171178223127705862, 0.547931206828092323],
            [0.17400948894689560610, 0.61126876646532841440, 0.93884325665885830459],
        ),
        pm(
            [0.63585388344327977182, +0.52942280204265532589, 0.0],
            [0.59001271542103076297, 0.0, +0.62704137378039531763],
        ),
    )
    weights /= 4
    return C2Scheme("Haegemans-Piessens", weights, points, 7, source)
github nschloe / quadpy / quadpy / c2 / _franke.py View on Github external
weights, points = concat(
        pm2(
            [0.494522019130682e-1, 0.949307350001342, a],
            [0.163914731881061, 0.458177548931134, a],
            [0.265904816944092, 0.774596669241483, b],
        ),
        pm(
            [0.113041839046410, 0.967776908976724, 0.0],
            [0.479922229600720, 0.417754671502987, 0.0],
            [0.471199025241204e-1, 0.0, a],
            [0.425447707110548, 0.0, b],
        ),
        zero(-0.481503595164821e-1),
    )
    weights /= 4
    return C2Scheme("Franke 3c", weights, points, 9, source)
github nschloe / quadpy / quadpy / c2 / _wissmann_becker.py View on Github external
def wissmann_becker_4_2():
    weights, points = concat(
        ([1.286412084888852], [[0, -0.356822089773090]]),
        ([0.491365692888926], [[0, 0.934172358962716]]),
        pmx(
            [0.761883709085613, 0.774596669241483, 0.390885162530071],
            [0.349227402025498, 0.774596669241483, -0.852765377881771],
        ),
    )
    weights /= 4
    return C2Scheme("Wissmann-Becker 4-2", weights, points, 4, source)