Example of a 32 bit float vector whose cosine with itself is NaN if implemented with straightforward 32-bit float math

gistfile1.txt

  static final float[] largeVector =
      new float[] {
        1.2127497E-8f,
        8.4071987E8f,
        1.3374228E22f,
        5.6472595E31f,
        1.6612625E-4f,
        1.5169654E7f,
        2.6878713E-6f,
        5.5687863E-8f,
        2.5789415E-9f,
        4.147732E-11f,
        1.29799045E-11f,
        1.9290077E-4f,
        3.05143334E15f,
        6.6276873E-10f,
        1.34245327E13f,
        4.0507486E27f,
        1.4145693E-5f,
        1.08738505E24f,
        4.09253131E12f,
        57.599087f,
        0.0019772896f,
        0.020570718f,
        0.012848064f,
        -0.01733798f,
        -0.0121089555f,
        -0.01733798f,
        0.021593036f,
        -0.0014471341f,
        -0.032962885f,
        -0.029067019f,
        0.013552636f,
        0.013552636f,
        -0.023375187f,
        -0.0042792344f,
        0.0023675666f,
        0.0053637214f,
        0.017462315f,
        0.003481411f,
        -0.004517545f,
        -0.019354988f,
        -0.011570165f,
        0.003609201f,
        -0.019935222f,
        -0.019009609f,
        1.8855484E-4f,
        -0.0036126545f,
        0.020985171f,
        -0.022283792f,
        0.011397476f,
        0.012481963f,
        0.013808215f,
        -0.005118503f,
        -0.022366684f,
        -0.024950111f,
        -0.0028321003f,
        -0.009677494f,
        0.009221595f,
        -0.010575476f,
        0.03260369f,
        -0.010126485f,
        0.034344394f,
        0.022200903f,
        -0.0097051235f,
        -0.0075016115f,
        0.0346207f,
        -0.013863476f,
        -0.013006938f,
        -0.014906517f,
        -0.023665305f,
        0.008116385f,
        0.01736561f,
        0.015265711f,
        -0.03707979f,
        -0.016149879f,
        0.025033003f,
        -0.0017873315f,
        0.0015567916f,
        0.0054293433f,
        0.014243391f,
        -0.030835355f,
        0.010596199f,
        0.01356645f,
        -0.014823627f,
        0.0063998555f,
        -0.0031602094f,
        0.0070008133f,
        -0.0021378903f,
        0.011805022f,
        0.010015964f,
        0.007819359f,
        0.016909711f,
        0.019589843f,
        0.002379655f,
        0.0046798727f,
        0.040892765f,
        -0.007950603f,
        0.0040651f,
        -2.8644793E-4f,
        -0.006406763f,
        1.4689361E-4f,
        0.0061511835f,
        -0.021026617f,
        -0.033239186f,
        0.03962177f,
        0.023361372f,
        -0.020460198f,
        0.0097051235f,
        0.0036644614f,
        -0.044761f,
        -8.208126E-5f,
        0.0033518942f,
        0.015086114f,
        0.028652566f,
        -0.0033052682f,
        0.034537807f,
        -0.011832653f,
        -0.017945845f,
        0.0021672475f,
        0.0053844443f,
        -0.0050148894f,
        -0.009691308f,
        0.008178553f,
        -0.028984128f,
        -0.009622233f,
        -0.044678107f,
        -0.018153071f,
        0.0048560156f,
        5.4569734E-4f,
        0.009228502f,
        6.903244E-4f,
        -0.0019669281f,
        0.044678107f,
        -0.023775827f,
        -0.0149203325f,
        -0.01175667f,
        -0.012903324f,
        0.016163694f,
        -0.028459152f,
        0.008081847f,
        -0.010237006f,
        0.0264007f,
        0.012599392f,
        0.012965493f,
        -0.016509071f,
        0.005007982f,
        0.0115218125f,
        0.0060855616f,
        3.4667325E-4f,
        -0.021772634f,
        -0.013490467f,
        0.011881006f,
        0.0121089555f,
        0.007543057f,
        0.020874651f,
        -0.027326314f,
        0.015555828f,
        0.02022534f,
        -0.008966015f,
        -0.013683879f,
        0.0050114356f,
        0.00478694f,
        0.0149203325f,
        -0.017572837f,
        0.0023537516f,
        -0.017268904f,
        0.024659995f,
        0.009946888f,
        0.012074417f,
        -0.014892702f,
        0.0058921496f,
        -0.009933073f,
        -0.02909465f,
        -0.014022349f,
        0.010416603f,
        0.035698276f,
        0.028652566f,
        0.007549965f,
        0.0034537807f,
        -0.032962885f,
        0.0010154116f,
        0.013290148f,
        0.010554754f,
        0.006648528f,
        0.0014497244f,
        0.0061477297f,
        0.023361372f,
        0.03934547f,
        -0.014139778f,
        0.0029857934f,
        -0.008579191f,
        0.003148121f,
        0.02319559f,
        -0.015514383f,
        0.011231694f,
        -0.0038198815f,
        0.006693427f,
        0.02535075f,
        -0.017407054f,
        -0.003104949f,
        -0.027312499f,
        0.008827863f,
        -0.0036920917f,
        -0.003306995f,
        0.028376263f,
        -0.006113192f,
        -0.0023364828f,
        0.036499556f,
        -0.014547325f,
        -0.0047938474f,
        3.1494163E-4f,
        0.015113744f,
        0.003355348f,
        -0.02934332f,
        -0.028707825f,
        -0.6273171f,
        0.009836367f,
        0.0027578438f,
        -0.014395358f,
        -0.032852363f,
        -0.0012787624f,
        -0.011915543f,
        0.013414484f,
        -0.023582414f,
        0.025709944f,
        -0.007764099f,
        -0.018512264f,
        0.006016486f,
        -0.014326283f,
        -0.01679919f,
        -0.022629172f,
        0.008240721f,
        0.005039066f,
        0.0019652012f,
        0.008309796f,
        -0.02206275f,
        0.029453842f,
        0.003920041f,
        0.034316763f,
        0.0052083014f,
        0.020777944f,
        -0.01351119f,
        -0.020156264f,
        -0.0051392256f,
        -0.019631289f,
        -0.005988856f,
        -0.0074601662f,
        -0.006993906f,
        6.916196E-4f,
        0.04133485f,
        -0.03473122f,
        -0.018940533f,
        -0.009629141f,
        0.013621711f,
        0.043130815f,
        -0.01985233f,
        -0.0067037884f,
        0.01407761f,
        -6.7348726E-4f,
        0.0063860407f,
        0.0010646279f,
        0.017517576f,
        0.014139778f,
        0.024687624f,
        -0.024991557f,
        0.01189482f,
        -0.0016724933f,
        -0.030973505f,
        -0.0035608478f,
        0.0039338563f,
        5.3231395E-4f,
        0.02095754f,
        -0.0020705415f,
        0.025903355f,
        -0.011687594f,
        -0.015472937f,
        0.009352838f,
        -0.025903355f,
        -0.015044669f,
        -0.039013907f,
        0.012737543f,
        -0.0011060733f,
        -0.013580265f,
        -0.0027457557f,
        -0.0048422003f,
        -0.002913264f,
        0.014851257f,
        -0.0053464524f,
        -0.026746077f,
        -0.0019462054f,
        0.006234074f,
        -0.0072045866f,
        -0.015113744f,
        -0.013552636f,
        0.018153071f,
        -0.015403862f,
        0.008876217f,
        -0.030559052f,
        -3.7732554E-4f,
        0.0015f
      };