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@@ -372,3 +372,4 @@ tuning-competition-baseline/.venv/lib/python3.11/site-packages/nvidia/cudnn/lib/
 .venv/lib/python3.11/site-packages/numpy/core/_multiarray_umath.cpython-311-x86_64-linux-gnu.so filter=lfs diff=lfs merge=lfs -text
 .venv/lib/python3.11/site-packages/numpy/core/_multiarray_tests.cpython-311-x86_64-linux-gnu.so filter=lfs diff=lfs merge=lfs -text
 .venv/lib/python3.11/site-packages/numpy/core/_simd.cpython-311-x86_64-linux-gnu.so filter=lfs diff=lfs merge=lfs -text
+.venv/lib/python3.11/site-packages/numpy/core/__pycache__/_add_newdocs.cpython-311.pyc filter=lfs diff=lfs merge=lfs -text

.venv/lib/python3.11/site-packages/numpy/core/__pycache__/_add_newdocs.cpython-311.pyc

@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1e88fdb34eba253fda59b99bb7aba32a9fd68f11193a956db7a2abc8ddc6e755
+size 205975

.venv/lib/python3.11/site-packages/numpy/core/tests/data/generate_umath_validation_data.cpp

@@ -0,0 +1,170 @@
+#include <algorithm>
+#include <fstream>
+#include <iostream>
+#include <math.h>
+#include <random>
+#include <cstdio>
+#include <ctime>
+#include <vector>
+
+struct ufunc {
+    std::string name;
+    double (*f32func)(double);
+    long double (*f64func)(long double);
+    float f32ulp;
+    float f64ulp;
+};
+
+template <typename T>
+T
+RandomFloat(T a, T b)
+{
+    T random = ((T)rand()) / (T)RAND_MAX;
+    T diff = b - a;
+    T r = random * diff;
+    return a + r;
+}
+
+template <typename T>
+void
+append_random_array(std::vector<T> &arr, T min, T max, size_t N)
+{
+    for (size_t ii = 0; ii < N; ++ii)
+        arr.emplace_back(RandomFloat<T>(min, max));
+}
+
+template <typename T1, typename T2>
+std::vector<T1>
+computeTrueVal(const std::vector<T1> &in, T2 (*mathfunc)(T2))
+{
+    std::vector<T1> out;
+    for (T1 elem : in) {
+        T2 elem_d = (T2)elem;
+        T1 out_elem = (T1)mathfunc(elem_d);
+        out.emplace_back(out_elem);
+    }
+    return out;
+}
+
+/*
+ * FP range:
+ * [-inf, -maxflt, -1., -minflt, -minden, 0., minden, minflt, 1., maxflt, inf]
+ */
+
+#define MINDEN std::numeric_limits<T>::denorm_min()
+#define MINFLT std::numeric_limits<T>::min()
+#define MAXFLT std::numeric_limits<T>::max()
+#define INF std::numeric_limits<T>::infinity()
+#define qNAN std::numeric_limits<T>::quiet_NaN()
+#define sNAN std::numeric_limits<T>::signaling_NaN()
+
+template <typename T>
+std::vector<T>
+generate_input_vector(std::string func)
+{
+    std::vector<T> input = {MINDEN,  -MINDEN, MINFLT, -MINFLT, MAXFLT,
+                            -MAXFLT, INF,     -INF,   qNAN,    sNAN,
+                            -1.0,    1.0,     0.0,    -0.0};
+
+    // [-1.0, 1.0]
+    if ((func == "arcsin") || (func == "arccos") || (func == "arctanh")) {
+        append_random_array<T>(input, -1.0, 1.0, 700);
+    }
+    // (0.0, INF]
+    else if ((func == "log2") || (func == "log10")) {
+        append_random_array<T>(input, 0.0, 1.0, 200);
+        append_random_array<T>(input, MINDEN, MINFLT, 200);
+        append_random_array<T>(input, MINFLT, 1.0, 200);
+        append_random_array<T>(input, 1.0, MAXFLT, 200);
+    }
+    // (-1.0, INF]
+    else if (func == "log1p") {
+        append_random_array<T>(input, -1.0, 1.0, 200);
+        append_random_array<T>(input, -MINFLT, -MINDEN, 100);
+        append_random_array<T>(input, -1.0, -MINFLT, 100);
+        append_random_array<T>(input, MINDEN, MINFLT, 100);
+        append_random_array<T>(input, MINFLT, 1.0, 100);
+        append_random_array<T>(input, 1.0, MAXFLT, 100);
+    }
+    // [1.0, INF]
+    else if (func == "arccosh") {
+        append_random_array<T>(input, 1.0, 2.0, 400);
+        append_random_array<T>(input, 2.0, MAXFLT, 300);
+    }
+    // [-INF, INF]
+    else {
+        append_random_array<T>(input, -1.0, 1.0, 100);
+        append_random_array<T>(input, MINDEN, MINFLT, 100);
+        append_random_array<T>(input, -MINFLT, -MINDEN, 100);
+        append_random_array<T>(input, MINFLT, 1.0, 100);
+        append_random_array<T>(input, -1.0, -MINFLT, 100);
+        append_random_array<T>(input, 1.0, MAXFLT, 100);
+        append_random_array<T>(input, -MAXFLT, -100.0, 100);
+    }
+
+    std::random_shuffle(input.begin(), input.end());
+    return input;
+}
+
+int
+main()
+{
+    srand(42);
+    std::vector<struct ufunc> umathfunc = {
+            {"sin", sin, sin, 1.49, 1.00},
+            {"cos", cos, cos, 1.49, 1.00},
+            {"tan", tan, tan, 3.91, 3.93},
+            {"arcsin", asin, asin, 3.12, 2.55},
+            {"arccos", acos, acos, 2.1, 1.67},
+            {"arctan", atan, atan, 2.3, 2.52},
+            {"sinh", sinh, sinh, 1.55, 1.89},
+            {"cosh", cosh, cosh, 2.48, 1.97},
+            {"tanh", tanh, tanh, 1.38, 1.19},
+            {"arcsinh", asinh, asinh, 1.01, 1.48},
+            {"arccosh", acosh, acosh, 1.16, 1.05},
+            {"arctanh", atanh, atanh, 1.45, 1.46},
+            {"cbrt", cbrt, cbrt, 1.94, 1.82},
+            //{"exp",exp,exp,3.76,1.53},
+            {"exp2", exp2, exp2, 1.01, 1.04},
+            {"expm1", expm1, expm1, 2.62, 2.1},
+            //{"log",log,log,1.84,1.67},
+            {"log10", log10, log10, 3.5, 1.92},
+            {"log1p", log1p, log1p, 1.96, 1.93},
+            {"log2", log2, log2, 2.12, 1.84},
+    };
+
+    for (int ii = 0; ii < umathfunc.size(); ++ii) {
+        // ignore sin/cos
+        if ((umathfunc[ii].name != "sin") && (umathfunc[ii].name != "cos")) {
+            std::string fileName =
+                    "umath-validation-set-" + umathfunc[ii].name + ".csv";
+            std::ofstream txtOut;
+            txtOut.open(fileName, std::ofstream::trunc);
+            txtOut << "dtype,input,output,ulperrortol" << std::endl;
+
+            // Single Precision
+            auto f32in = generate_input_vector<float>(umathfunc[ii].name);
+            auto f32out = computeTrueVal<float, double>(f32in,
+                                                        umathfunc[ii].f32func);
+            for (int jj = 0; jj < f32in.size(); ++jj) {
+                txtOut << "np.float32" << std::hex << ",0x"
+                       << *reinterpret_cast<uint32_t *>(&f32in[jj]) << ",0x"
+                       << *reinterpret_cast<uint32_t *>(&f32out[jj]) << ","
+                       << ceil(umathfunc[ii].f32ulp) << std::endl;
+            }
+
+            // Double Precision
+            auto f64in = generate_input_vector<double>(umathfunc[ii].name);
+            auto f64out = computeTrueVal<double, long double>(
+                    f64in, umathfunc[ii].f64func);
+            for (int jj = 0; jj < f64in.size(); ++jj) {
+                txtOut << "np.float64" << std::hex << ",0x"
+                       << *reinterpret_cast<uint64_t *>(&f64in[jj]) << ",0x"
+                       << *reinterpret_cast<uint64_t *>(&f64out[jj]) << ","
+                       << ceil(umathfunc[ii].f64ulp) << std::endl;
+            }
+            txtOut.close();
+        }
+    }
+    return 0;
+}

.venv/lib/python3.11/site-packages/numpy/core/tests/data/umath-validation-set-README.txt

@@ -0,0 +1,15 @@
+Steps to validate transcendental functions:
+1) Add a file 'umath-validation-set-<ufuncname>.txt', where ufuncname is name of
+   the function in NumPy you want to validate
+2) The file should contain 4 columns: dtype,input,expected output,ulperror
+    a. dtype: one of np.float16, np.float32, np.float64
+    b. input: floating point input to ufunc in hex. Example: 0x414570a4
+       represents 12.340000152587890625
+    c. expected output: floating point output for the corresponding input in hex.
+       This should be computed using a high(er) precision library and then rounded to
+       same format as the input.
+    d. ulperror: expected maximum ulp error of the function. This
+       should be same across all rows of the same dtype. Otherwise, the function is
+       tested for the maximum ulp error among all entries of that dtype.
+3) Add file umath-validation-set-<ufuncname>.txt to the test file test_umath_accuracy.py
+   which will then validate your ufunc.

.venv/lib/python3.11/site-packages/numpy/core/tests/data/umath-validation-set-arccos.csv

@@ -0,0 +1,1429 @@
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.venv/lib/python3.11/site-packages/numpy/core/tests/data/umath-validation-set-cos.csv

@@ -0,0 +1,1375 @@
+dtype,input,output,ulperrortol
+## +ve denormals ##
+np.float32,0x004b4716,0x3f800000,2
+np.float32,0x007b2490,0x3f800000,2
+np.float32,0x007c99fa,0x3f800000,2
+np.float32,0x00734a0c,0x3f800000,2
+np.float32,0x0070de24,0x3f800000,2
+np.float32,0x007fffff,0x3f800000,2
+np.float32,0x00000001,0x3f800000,2
+## -ve denormals ##
+np.float32,0x80495d65,0x3f800000,2
+np.float32,0x806894f6,0x3f800000,2
+np.float32,0x80555a76,0x3f800000,2
+np.float32,0x804e1fb8,0x3f800000,2
+np.float32,0x80687de9,0x3f800000,2
+np.float32,0x807fffff,0x3f800000,2
+np.float32,0x80000001,0x3f800000,2
+## +/-0.0f, +/-FLT_MIN +/-FLT_MAX ##
+np.float32,0x00000000,0x3f800000,2
+np.float32,0x80000000,0x3f800000,2
+np.float32,0x00800000,0x3f800000,2
+np.float32,0x80800000,0x3f800000,2
+## 1.00f + 0x00000001 ##
+np.float32,0x3f800000,0x3f0a5140,2
+np.float32,0x3f800001,0x3f0a513f,2
+np.float32,0x3f800002,0x3f0a513d,2
+np.float32,0xc090a8b0,0xbe4332ce,2
+np.float32,0x41ce3184,0x3f4d1de1,2
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+np.float32,0x402b8820,0xbf653aa3,2
+np.float32,0x42b4e454,0xbf4a338b,2
+np.float32,0x42a67a60,0x3c58202e,2
+np.float32,0x41d92388,0xbed987c7,2
+np.float32,0x422dd66c,0x3f5dcab3,2
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+np.float64,0xbfda70c0e634e182,0x3ff1628c6fdffc53,2
+np.float64,0x3fe0b5f534a16bea,0x3ff23b4ed4c2b48e,2
+np.float64,0xbfe8eee93671ddd2,0x3ff51b85b3c50ae4,2
+np.float64,0xbfe8c22627f1844c,0x3ff50858787a3bfe,2
+np.float64,0x37bb83c86f771,0x3ff0000000000000,2
+np.float64,0xffb7827ffe2f0500,0x7ff0000000000000,2
+np.float64,0x64317940c864,0x3ff0000000000000,2
+np.float64,0x800430ecee6861db,0x3ff0000000000000,2
+np.float64,0x3fa4291fbc285240,0x3ff0032d0204f6dd,2
+np.float64,0xffec69f76af8d3ee,0x7ff0000000000000,2
+np.float64,0x3ff0000000000000,0x3ff8b07551d9f550,2
+np.float64,0x3fc4cf3c42299e79,0x3ff0363fb1d3c254,2
+np.float64,0x7fe0223a77e04474,0x7ff0000000000000,2
+np.float64,0x800a3d4fa4347aa0,0x3ff0000000000000,2
+np.float64,0x3fdd273f94ba4e7f,0x3ff1b05b686e6879,2
+np.float64,0x3feca79052f94f20,0x3ff6dadedfa283aa,2
+np.float64,0x5e7f6f80bcfef,0x3ff0000000000000,2
+np.float64,0xbfef035892fe06b1,0x3ff81efb39cbeba2,2
+np.float64,0x3fee6c08e07cd812,0x3ff7caad952860a1,2
+np.float64,0xffeda715877b4e2a,0x7ff0000000000000,2
+np.float64,0x800580286b0b0052,0x3ff0000000000000,2
+np.float64,0x800703a73fee074f,0x3ff0000000000000,2
+np.float64,0xbfccf96a6639f2d4,0x3ff0696330a60832,2
+np.float64,0x7feb408442368108,0x7ff0000000000000,2
+np.float64,0x3fedc87a46fb90f5,0x3ff771e3635649a9,2
+np.float64,0x3fd8297b773052f7,0x3ff12762bc0cea76,2
+np.float64,0x3fee41bb03fc8376,0x3ff7b37b2da48ab4,2
+np.float64,0xbfe2b05a226560b4,0x3ff2cea17ae7c528,2
+np.float64,0xbfd2e92cf2a5d25a,0x3ff0b41d605ced61,2
+np.float64,0x4817f03a902ff,0x3ff0000000000000,2
+np.float64,0x8c9d4f0d193aa,0x3ff0000000000000,2

.venv/lib/python3.11/site-packages/numpy/core/tests/data/umath-validation-set-exp.csv

@@ -0,0 +1,412 @@
+dtype,input,output,ulperrortol
+## +ve denormals ##
+np.float32,0x004b4716,0x3f800000,3
+np.float32,0x007b2490,0x3f800000,3
+np.float32,0x007c99fa,0x3f800000,3
+np.float32,0x00734a0c,0x3f800000,3
+np.float32,0x0070de24,0x3f800000,3
+np.float32,0x00495d65,0x3f800000,3
+np.float32,0x006894f6,0x3f800000,3
+np.float32,0x00555a76,0x3f800000,3
+np.float32,0x004e1fb8,0x3f800000,3
+np.float32,0x00687de9,0x3f800000,3
+## -ve denormals ##
+np.float32,0x805b59af,0x3f800000,3
+np.float32,0x807ed8ed,0x3f800000,3
+np.float32,0x807142ad,0x3f800000,3
+np.float32,0x80772002,0x3f800000,3
+np.float32,0x8062abcb,0x3f800000,3
+np.float32,0x8045e31c,0x3f800000,3
+np.float32,0x805f01c2,0x3f800000,3
+np.float32,0x80506432,0x3f800000,3
+np.float32,0x8060089d,0x3f800000,3
+np.float32,0x8071292f,0x3f800000,3
+## floats that output a denormal ##
+np.float32,0xc2cf3fc1,0x00000001,3
+np.float32,0xc2c79726,0x00000021,3
+np.float32,0xc2cb295d,0x00000005,3
+np.float32,0xc2b49e6b,0x00068c4c,3
+np.float32,0xc2ca8116,0x00000008,3
+np.float32,0xc2c23f82,0x000001d7,3
+np.float32,0xc2cb69c0,0x00000005,3
+np.float32,0xc2cc1f4d,0x00000003,3
+np.float32,0xc2ae094e,0x00affc4c,3
+np.float32,0xc2c86c44,0x00000015,3
+## random floats between -87.0f and 88.0f ##
+np.float32,0x4030d7e0,0x417d9a05,3
+np.float32,0x426f60e8,0x6aa1be2c,3
+np.float32,0x41a1b220,0x4e0efc11,3
+np.float32,0xc20cc722,0x26159da7,3
+np.float32,0x41c492bc,0x512ec79d,3
+np.float32,0x40980210,0x42e73a0e,3
+np.float32,0xbf1f7b80,0x3f094de3,3
+np.float32,0x42a678a4,0x7b87a383,3
+np.float32,0xc20f3cfd,0x25a1c304,3
+np.float32,0x423ff34c,0x6216467f,3
+np.float32,0x00000000,0x3f800000,3
+## floats that cause an overflow ##
+np.float32,0x7f06d8c1,0x7f800000,3
+np.float32,0x7f451912,0x7f800000,3
+np.float32,0x7ecceac3,0x7f800000,3
+np.float32,0x7f643b45,0x7f800000,3
+np.float32,0x7e910ea0,0x7f800000,3
+np.float32,0x7eb4756b,0x7f800000,3
+np.float32,0x7f4ec708,0x7f800000,3
+np.float32,0x7f6b4551,0x7f800000,3
+np.float32,0x7d8edbda,0x7f800000,3
+np.float32,0x7f730718,0x7f800000,3
+np.float32,0x42b17217,0x7f7fff84,3
+np.float32,0x42b17218,0x7f800000,3
+np.float32,0x42b17219,0x7f800000,3
+np.float32,0xfef2b0bc,0x00000000,3
+np.float32,0xff69f83e,0x00000000,3
+np.float32,0xff4ecb12,0x00000000,3
+np.float32,0xfeac6d86,0x00000000,3
+np.float32,0xfde0cdb8,0x00000000,3
+np.float32,0xff26aef4,0x00000000,3
+np.float32,0xff6f9277,0x00000000,3
+np.float32,0xff7adfc4,0x00000000,3
+np.float32,0xff0ad40e,0x00000000,3
+np.float32,0xff6fd8f3,0x00000000,3
+np.float32,0xc2cff1b4,0x00000001,3
+np.float32,0xc2cff1b5,0x00000000,3
+np.float32,0xc2cff1b6,0x00000000,3
+np.float32,0x7f800000,0x7f800000,3
+np.float32,0xff800000,0x00000000,3
+np.float32,0x4292f27c,0x7480000a,3
+np.float32,0x42a920be,0x7c7fff94,3
+np.float32,0x41c214c9,0x50ffffd9,3
+np.float32,0x41abe686,0x4effffd9,3
+np.float32,0x4287db5a,0x707fffd3,3
+np.float32,0x41902cbb,0x4c800078,3
+np.float32,0x42609466,0x67ffffeb,3
+np.float32,0x41a65af5,0x4e7fffd1,3
+np.float32,0x417f13ff,0x4affffc9,3
+np.float32,0x426d0e6c,0x6a3504f2,3
+np.float32,0x41bc8934,0x507fff51,3
+np.float32,0x42a7bdde,0x7c0000d6,3
+np.float32,0x4120cf66,0x46b504f6,3
+np.float32,0x4244da8f,0x62ffff1a,3
+np.float32,0x41a0cf69,0x4e000034,3
+np.float32,0x41cd2bec,0x52000005,3
+np.float32,0x42893e41,0x7100009e,3
+np.float32,0x41b437e1,0x4fb50502,3
+np.float32,0x41d8430f,0x5300001d,3
+np.float32,0x4244da92,0x62ffffda,3
+np.float32,0x41a0cf63,0x4dffffa9,3
+np.float32,0x3eb17218,0x3fb504f3,3
+np.float32,0x428729e8,0x703504dc,3
+np.float32,0x41a0cf67,0x4e000014,3
+np.float32,0x4252b77d,0x65800011,3
+np.float32,0x41902cb9,0x4c800058,3
+np.float32,0x42a0cf67,0x79800052,3
+np.float32,0x4152b77b,0x48ffffe9,3
+np.float32,0x41265af3,0x46ffffc8,3
+np.float32,0x42187e0b,0x5affff9a,3
+np.float32,0xc0d2b77c,0x3ab504f6,3
+np.float32,0xc283b2ac,0x10000072,3
+np.float32,0xc1cff1b4,0x2cb504f5,3
+np.float32,0xc05dce9e,0x3d000000,3
+np.float32,0xc28ec9d2,0x0bfffea5,3
+np.float32,0xc23c893a,0x1d7fffde,3
+np.float32,0xc2a920c0,0x027fff6c,3
+np.float32,0xc1f9886f,0x2900002b,3
+np.float32,0xc2c42920,0x000000b5,3
+np.float32,0xc2893e41,0x0dfffec5,3
+np.float32,0xc2c4da93,0x00000080,3
+np.float32,0xc17f1401,0x3400000c,3
+np.float32,0xc1902cb6,0x327fffaf,3
+np.float32,0xc27c4e3b,0x11ffffc5,3
+np.float32,0xc268e5c5,0x157ffe9d,3
+np.float32,0xc2b4e953,0x0005a826,3
+np.float32,0xc287db5a,0x0e800016,3
+np.float32,0xc207db5a,0x2700000b,3
+np.float32,0xc2b2d4fe,0x000ffff1,3
+np.float32,0xc268e5c0,0x157fffdd,3
+np.float32,0xc22920bd,0x2100003b,3
+np.float32,0xc2902caf,0x0b80011e,3
+np.float32,0xc1902cba,0x327fff2f,3
+np.float32,0xc2ca6625,0x00000008,3
+np.float32,0xc280ece8,0x10fffeb5,3
+np.float32,0xc2918f94,0x0b0000ea,3
+np.float32,0xc29b43d5,0x077ffffc,3
+np.float32,0xc1e61ff7,0x2ab504f5,3
+np.float32,0xc2867878,0x0effff15,3
+np.float32,0xc2a2324a,0x04fffff4,3
+#float64
+## near zero ##
+np.float64,0x8000000000000000,0x3ff0000000000000,2
+np.float64,0x8010000000000000,0x3ff0000000000000,2
+np.float64,0x8000000000000001,0x3ff0000000000000,2
+np.float64,0x8360000000000000,0x3ff0000000000000,2
+np.float64,0x9a70000000000000,0x3ff0000000000000,2
+np.float64,0xb9b0000000000000,0x3ff0000000000000,2
+np.float64,0xb810000000000000,0x3ff0000000000000,2
+np.float64,0xbc30000000000000,0x3ff0000000000000,2
+np.float64,0xb6a0000000000000,0x3ff0000000000000,2
+np.float64,0x0000000000000000,0x3ff0000000000000,2
+np.float64,0x0010000000000000,0x3ff0000000000000,2
+np.float64,0x0000000000000001,0x3ff0000000000000,2
+np.float64,0x0360000000000000,0x3ff0000000000000,2
+np.float64,0x1a70000000000000,0x3ff0000000000000,2
+np.float64,0x3c30000000000000,0x3ff0000000000000,2
+np.float64,0x36a0000000000000,0x3ff0000000000000,2
+np.float64,0x39b0000000000000,0x3ff0000000000000,2
+np.float64,0x3810000000000000,0x3ff0000000000000,2
+## underflow ##
+np.float64,0xc0c6276800000000,0x0000000000000000,2
+np.float64,0xc0c62d918ce2421d,0x0000000000000000,2
+np.float64,0xc0c62d918ce2421e,0x0000000000000000,2
+np.float64,0xc0c62d91a0000000,0x0000000000000000,2
+np.float64,0xc0c62d9180000000,0x0000000000000000,2
+np.float64,0xc0c62dea45ee3e06,0x0000000000000000,2
+np.float64,0xc0c62dea45ee3e07,0x0000000000000000,2
+np.float64,0xc0c62dea40000000,0x0000000000000000,2
+np.float64,0xc0c62dea60000000,0x0000000000000000,2
+np.float64,0xc0875f1120000000,0x0000000000000000,2
+np.float64,0xc0875f113c30b1c8,0x0000000000000000,2
+np.float64,0xc0875f1140000000,0x0000000000000000,2
+np.float64,0xc093480000000000,0x0000000000000000,2
+np.float64,0xffefffffffffffff,0x0000000000000000,2
+np.float64,0xc7efffffe0000000,0x0000000000000000,2
+## overflow ##
+np.float64,0x40862e52fefa39ef,0x7ff0000000000000,2
+np.float64,0x40872e42fefa39ef,0x7ff0000000000000,2
+## +/- INF, +/- NAN ##
+np.float64,0x7ff0000000000000,0x7ff0000000000000,2
+np.float64,0xfff0000000000000,0x0000000000000000,2
+np.float64,0x7ff8000000000000,0x7ff8000000000000,2
+np.float64,0xfff8000000000000,0xfff8000000000000,2
+## output denormal ##
+np.float64,0xc087438520000000,0x0000000000000001,2
+np.float64,0xc08743853f2f4461,0x0000000000000001,2
+np.float64,0xc08743853f2f4460,0x0000000000000001,2
+np.float64,0xc087438540000000,0x0000000000000001,2
+## between -745.13321910 and 709.78271289 ##
+np.float64,0xbff760cd14774bd9,0x3fcdb14ced00ceb6,2
+np.float64,0xbff760cd20000000,0x3fcdb14cd7993879,2
+np.float64,0xbff760cd00000000,0x3fcdb14d12fbd264,2
+np.float64,0xc07f1cf360000000,0x130c1b369af14fda,2
+np.float64,0xbeb0000000000000,0x3feffffe00001000,2
+np.float64,0xbd70000000000000,0x3fefffffffffe000,2
+np.float64,0xc084fd46e5c84952,0x0360000000000139,2
+np.float64,0xc084fd46e5c84953,0x035ffffffffffe71,2
+np.float64,0xc084fd46e0000000,0x0360000b9096d32c,2
+np.float64,0xc084fd4700000000,0x035fff9721d12104,2
+np.float64,0xc086232bc0000000,0x0010003af5e64635,2
+np.float64,0xc086232bdd7abcd2,0x001000000000007c,2
+np.float64,0xc086232bdd7abcd3,0x000ffffffffffe7c,2
+np.float64,0xc086232be0000000,0x000ffffaf57a6fc9,2
+np.float64,0xc086233920000000,0x000fe590e3b45eb0,2
+np.float64,0xc086233938000000,0x000fe56133493c57,2
+np.float64,0xc086233940000000,0x000fe5514deffbbc,2
+np.float64,0xc086234c98000000,0x000fbf1024c32ccb,2
+np.float64,0xc086234ca0000000,0x000fbf0065bae78d,2
+np.float64,0xc086234c80000000,0x000fbf3f623a7724,2
+np.float64,0xc086234ec0000000,0x000fbad237c846f9,2
+np.float64,0xc086234ec8000000,0x000fbac27cfdec97,2
+np.float64,0xc086234ee0000000,0x000fba934cfd3dc2,2
+np.float64,0xc086234ef0000000,0x000fba73d7f618d9,2
+np.float64,0xc086234f00000000,0x000fba54632dddc0,2
+np.float64,0xc0862356e0000000,0x000faae0945b761a,2
+np.float64,0xc0862356f0000000,0x000faac13eb9a310,2
+np.float64,0xc086235700000000,0x000faaa1e9567b0a,2
+np.float64,0xc086236020000000,0x000f98cd75c11ed7,2
+np.float64,0xc086236ca0000000,0x000f8081b4d93f89,2
+np.float64,0xc086236cb0000000,0x000f8062b3f4d6c5,2
+np.float64,0xc086236cc0000000,0x000f8043b34e6f8c,2
+np.float64,0xc086238d98000000,0x000f41220d9b0d2c,2
+np.float64,0xc086238da0000000,0x000f4112cc80a01f,2
+np.float64,0xc086238d80000000,0x000f414fd145db5b,2
+np.float64,0xc08624fd00000000,0x000cbfce8ea1e6c4,2
+np.float64,0xc086256080000000,0x000c250747fcd46e,2
+np.float64,0xc08626c480000000,0x000a34f4bd975193,2
+np.float64,0xbf50000000000000,0x3feff800ffeaac00,2
+np.float64,0xbe10000000000000,0x3fefffffff800000,2
+np.float64,0xbcd0000000000000,0x3feffffffffffff8,2
+np.float64,0xc055d589e0000000,0x38100004bf94f63e,2
+np.float64,0xc055d58a00000000,0x380ffff97f292ce8,2
+np.float64,0xbfd962d900000000,0x3fe585a4b00110e1,2
+np.float64,0x3ff4bed280000000,0x400d411e7a58a303,2
+np.float64,0x3fff0b3620000000,0x401bd7737ffffcf3,2
+np.float64,0x3ff0000000000000,0x4005bf0a8b145769,2
+np.float64,0x3eb0000000000000,0x3ff0000100000800,2
+np.float64,0x3d70000000000000,0x3ff0000000001000,2
+np.float64,0x40862e42e0000000,0x7fefff841808287f,2
+np.float64,0x40862e42fefa39ef,0x7fefffffffffff2a,2
+np.float64,0x40862e0000000000,0x7feef85a11e73f2d,2
+np.float64,0x4000000000000000,0x401d8e64b8d4ddae,2
+np.float64,0x4009242920000000,0x40372a52c383a488,2
+np.float64,0x4049000000000000,0x44719103e4080b45,2
+np.float64,0x4008000000000000,0x403415e5bf6fb106,2
+np.float64,0x3f50000000000000,0x3ff00400800aab55,2
+np.float64,0x3e10000000000000,0x3ff0000000400000,2
+np.float64,0x3cd0000000000000,0x3ff0000000000004,2
+np.float64,0x40562e40a0000000,0x47effed088821c3f,2
+np.float64,0x40562e42e0000000,0x47effff082e6c7ff,2
+np.float64,0x40562e4300000000,0x47f00000417184b8,2
+np.float64,0x3fe8000000000000,0x4000ef9db467dcf8,2
+np.float64,0x402b12e8d4f33589,0x412718f68c71a6fe,2
+np.float64,0x402b12e8d4f3358a,0x412718f68c71a70a,2
+np.float64,0x402b12e8c0000000,0x412718f59a7f472e,2
+np.float64,0x402b12e8e0000000,0x412718f70c0eac62,2
+##use 1th entry
+np.float64,0x40631659AE147CB4,0x4db3a95025a4890f,2
+np.float64,0xC061B87D2E85A4E2,0x332640c8e2de2c51,2
+np.float64,0x405A4A50BE243AF4,0x496a45e4b7f0339a,2
+np.float64,0xC0839898B98EC5C6,0x0764027828830df4,2
+#use 2th entry
+np.float64,0xC072428C44B6537C,0x2596ade838b96f3e,2
+np.float64,0xC053057C5E1AE9BF,0x3912c8fad18fdadf,2
+np.float64,0x407E89C78328BAA3,0x6bfe35d5b9a1a194,2
+np.float64,0x4083501B6DD87112,0x77a855503a38924e,2
+#use 3th entry
+np.float64,0x40832C6195F24540,0x7741e73c80e5eb2f,2
+np.float64,0xC083D4CD557C2EC9,0x06b61727c2d2508e,2
+np.float64,0x400C48F5F67C99BD,0x404128820f02b92e,2
+np.float64,0x4056E36D9B2DF26A,0x4830f52ff34a8242,2
+#use 4th entry
+np.float64,0x4080FF700D8CBD06,0x70fa70df9bc30f20,2
+np.float64,0x406C276D39E53328,0x543eb8e20a8f4741,2
+np.float64,0xC070D6159BBD8716,0x27a4a0548c904a75,2
+np.float64,0xC052EBCF8ED61F83,0x391c0e92368d15e4,2
+#use 5th entry
+np.float64,0xC061F892A8AC5FBE,0x32f807a89efd3869,2
+np.float64,0x4021D885D2DBA085,0x40bd4dc86d3e3270,2
+np.float64,0x40767AEEEE7D4FCF,0x605e22851ee2afb7,2
+np.float64,0xC0757C5D75D08C80,0x20f0751599b992a2,2
+#use 6th entry
+np.float64,0x405ACF7A284C4CE3,0x499a4e0b7a27027c,2
+np.float64,0xC085A6C9E80D7AF5,0x0175914009d62ec2,2
+np.float64,0xC07E4C02F86F1DAE,0x1439269b29a9231e,2
+np.float64,0x4080D80F9691CC87,0x7088a6cdafb041de,2
+#use 7th entry
+np.float64,0x407FDFD84FBA0AC1,0x6deb1ae6f9bc4767,2
+np.float64,0x40630C06A1A2213D,0x4dac7a9d51a838b7,2
+np.float64,0x40685FDB30BB8B4F,0x5183f5cc2cac9e79,2
+np.float64,0x408045A2208F77F4,0x6ee299e08e2aa2f0,2
+#use 8th entry
+np.float64,0xC08104E391F5078B,0x0ed397b7cbfbd230,2
+np.float64,0xC031501CAEFAE395,0x3e6040fd1ea35085,2
+np.float64,0xC079229124F6247C,0x1babf4f923306b1e,2
+np.float64,0x407FB65F44600435,0x6db03beaf2512b8a,2
+#use 9th entry
+np.float64,0xC07EDEE8E8E8A5AC,0x136536cec9cbef48,2
+np.float64,0x4072BB4086099A14,0x5af4d3c3008b56cc,2
+np.float64,0x4050442A2EC42CB4,0x45cd393bd8fad357,2
+np.float64,0xC06AC28FB3D419B4,0x2ca1b9d3437df85f,2
+#use 10th entry
+np.float64,0x40567FC6F0A68076,0x480c977fd5f3122e,2
+np.float64,0x40620A2F7EDA59BB,0x4cf278e96f4ce4d7,2
+np.float64,0xC085044707CD557C,0x034aad6c968a045a,2
+np.float64,0xC07374EA5AC516AA,0x23dd6afdc03e83d5,2
+#use 11th entry
+np.float64,0x4073CC95332619C1,0x5c804b1498bbaa54,2
+np.float64,0xC0799FEBBE257F31,0x1af6a954c43b87d2,2
+np.float64,0x408159F19EA424F6,0x7200858efcbfc84d,2
+np.float64,0x404A81F6F24C0792,0x44b664a07ce5bbfa,2
+#use 12th entry
+np.float64,0x40295FF1EFB9A741,0x4113c0e74c52d7b0,2
+np.float64,0x4073975F4CC411DA,0x5c32be40b4fec2c1,2
+np.float64,0x406E9DE52E82A77E,0x56049c9a3f1ae089,2
+np.float64,0x40748C2F52560ED9,0x5d93bc14fd4cd23b,2
+#use 13th entry
+np.float64,0x4062A553CDC4D04C,0x4d6266bfde301318,2
+np.float64,0xC079EC1D63598AB7,0x1a88cb184dab224c,2
+np.float64,0xC0725C1CB3167427,0x25725b46f8a081f6,2
+np.float64,0x407888771D9B45F9,0x6353b1ec6bd7ce80,2
+#use 14th entry
+np.float64,0xC082CBA03AA89807,0x09b383723831ce56,2
+np.float64,0xC083A8961BB67DD7,0x0735b118d5275552,2
+np.float64,0xC076BC6ECA12E7E3,0x1f2222679eaef615,2
+np.float64,0xC072752503AA1A5B,0x254eb832242c77e1,2
+#use 15th entry
+np.float64,0xC058800792125DEC,0x371882372a0b48d4,2
+np.float64,0x4082909FD863E81C,0x7580d5f386920142,2
+np.float64,0xC071616F8FB534F9,0x26dbe20ef64a412b,2
+np.float64,0x406D1AB571CAA747,0x54ee0d55cb38ac20,2
+#use 16th entry
+np.float64,0x406956428B7DAD09,0x52358682c271237f,2
+np.float64,0xC07EFC2D9D17B621,0x133b3e77c27a4d45,2
+np.float64,0xC08469BAC5BA3CCA,0x050863e5f42cc52f,2
+np.float64,0x407189D9626386A5,0x593cb1c0b3b5c1d3,2
+#use 17th entry
+np.float64,0x4077E652E3DEB8C6,0x6269a10dcbd3c752,2
+np.float64,0x407674C97DB06878,0x605485dcc2426ec2,2
+np.float64,0xC07CE9969CF4268D,0x16386cf8996669f2,2
+np.float64,0x40780EE32D5847C4,0x62a436bd1abe108d,2
+#use 18th entry
+np.float64,0x4076C3AA5E1E8DA1,0x60c62f56a5e72e24,2
+np.float64,0xC0730AFC7239B9BE,0x24758ead095cec1e,2
+np.float64,0xC085CC2B9C420DDB,0x0109cdaa2e5694c1,2
+np.float64,0x406D0765CB6D7AA4,0x54e06f8dd91bd945,2
+#use 19th entry
+np.float64,0xC082D011F3B495E7,0x09a6647661d279c2,2
+np.float64,0xC072826AF8F6AFBC,0x253acd3cd224507e,2
+np.float64,0x404EB9C4810CEA09,0x457933dbf07e8133,2
+np.float64,0x408284FBC97C58CE,0x755f6eb234aa4b98,2
+#use 20th entry
+np.float64,0x40856008CF6EDC63,0x7d9c0b3c03f4f73c,2
+np.float64,0xC077CB2E9F013B17,0x1d9b3d3a166a55db,2
+np.float64,0xC0479CA3C20AD057,0x3bad40e081555b99,2
+np.float64,0x40844CD31107332A,0x7a821d70aea478e2,2
+#use 21th entry
+np.float64,0xC07C8FCC0BFCC844,0x16ba1cc8c539d19b,2
+np.float64,0xC085C4E9A3ABA488,0x011ff675ba1a2217,2
+np.float64,0x4074D538B32966E5,0x5dfd9d78043c6ad9,2
+np.float64,0xC0630CA16902AD46,0x3231a446074cede6,2
+#use 22th entry
+np.float64,0xC06C826733D7D0B7,0x2b5f1078314d41e1,2
+np.float64,0xC0520DF55B2B907F,0x396c13a6ce8e833e,2
+np.float64,0xC080712072B0F437,0x107eae02d11d98ea,2
+np.float64,0x40528A6150E19EFB,0x469fdabda02228c5,2
+#use 23th entry
+np.float64,0xC07B1D74B6586451,0x18d1253883ae3b48,2
+np.float64,0x4045AFD7867DAEC0,0x43d7d634fc4c5d98,2
+np.float64,0xC07A08B91F9ED3E2,0x1a60973e6397fc37,2
+np.float64,0x407B3ECF0AE21C8C,0x673e03e9d98d7235,2
+#use 24th entry
+np.float64,0xC078AEB6F30CEABF,0x1c530b93ab54a1b3,2
+np.float64,0x4084495006A41672,0x7a775b6dc7e63064,2
+np.float64,0x40830B1C0EBF95DD,0x76e1e6eed77cfb89,2
+np.float64,0x407D93E8F33D8470,0x6a9adbc9e1e4f1e5,2
+#use 25th entry
+np.float64,0x4066B11A09EFD9E8,0x504dd528065c28a7,2
+np.float64,0x408545823723AEEB,0x7d504a9b1844f594,2
+np.float64,0xC068C711F2CA3362,0x2e104f3496ea118e,2
+np.float64,0x407F317FCC3CA873,0x6cf0732c9948ebf4,2
+#use 26th entry
+np.float64,0x407AFB3EBA2ED50F,0x66dc28a129c868d5,2
+np.float64,0xC075377037708ADE,0x21531a329f3d793e,2
+np.float64,0xC07C30066A1F3246,0x174448baa16ded2b,2
+np.float64,0xC06689A75DE2ABD3,0x2fad70662fae230b,2
+#use 27th entry
+np.float64,0x4081514E9FCCF1E0,0x71e673b9efd15f44,2
+np.float64,0xC0762C710AF68460,0x1ff1ed7d8947fe43,2
+np.float64,0xC0468102FF70D9C4,0x3be0c3a8ff3419a3,2
+np.float64,0xC07EA4CEEF02A83E,0x13b908f085102c61,2
+#use 28th entry
+np.float64,0xC06290B04AE823C4,0x328a83da3c2e3351,2
+np.float64,0xC0770EB1D1C395FB,0x1eab281c1f1db5fe,2
+np.float64,0xC06F5D4D838A5BAE,0x29500ea32fb474ea,2
+np.float64,0x40723B3133B54C5D,0x5a3c82c7c3a2b848,2
+#use 29th entry
+np.float64,0x4085E6454CE3B4AA,0x7f20319b9638d06a,2
+np.float64,0x408389F2A0585D4B,0x7850667c58aab3d0,2
+np.float64,0xC0382798F9C8AE69,0x3dc1c79fe8739d6d,2
+np.float64,0xC08299D827608418,0x0a4335f76cdbaeb5,2
+#use 30th entry
+np.float64,0xC06F3DED43301BF1,0x2965670ae46750a8,2
+np.float64,0xC070CAF6BDD577D9,0x27b4aa4ffdd29981,2
+np.float64,0x4078529AD4B2D9F2,0x6305c12755d5e0a6,2
+np.float64,0xC055B14E75A31B96,0x381c2eda6d111e5d,2
+#use 31th entry
+np.float64,0x407B13EE414FA931,0x6700772c7544564d,2
+np.float64,0x407EAFDE9DE3EC54,0x6c346a0e49724a3c,2
+np.float64,0xC08362F398B9530D,0x07ffeddbadf980cb,2
+np.float64,0x407E865CDD9EEB86,0x6bf866cac5e0d126,2
+#use 32th entry
+np.float64,0x407FB62DBC794C86,0x6db009f708ac62cb,2
+np.float64,0xC063D0BAA68CDDDE,0x31a3b2a51ce50430,2
+np.float64,0xC05E7706A2231394,0x34f24bead6fab5c9,2
+np.float64,0x4083E3A06FDE444E,0x79527b7a386d1937,2

.venv/lib/python3.11/site-packages/numpy/core/tests/data/umath-validation-set-exp2.csv

@@ -0,0 +1,1429 @@
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+np.float64,0x3fc901253732024a,0x3fcb9d264accb07c,3
+np.float64,0x3fe42b8997685714,0x3fec1a39e207b6e4,3
+np.float64,0x3fec4fd00fb89fa0,0x3ff6c1fdd0c262c8,3
+np.float64,0x8007b333caaf6668,0x8007b333caaf6668,3
+np.float64,0x800f9275141f24ea,0x800f9275141f24ea,3
+np.float64,0xffbba361a23746c0,0xbff0000000000000,3
+np.float64,0xbfee4effa9fc9dff,0xbfe396c11d0cd524,3
+np.float64,0x3e47e84c7c8fe,0x3e47e84c7c8fe,3
+np.float64,0x3fe80eb7b1301d6f,0x3ff1eed318a00153,3
+np.float64,0x7fd3f4c5b4a7e98a,0x7ff0000000000000,3
+np.float64,0x158abab02b158,0x158abab02b158,3
+np.float64,0x1,0x1,3
+np.float64,0x1f1797883e2f4,0x1f1797883e2f4,3
+np.float64,0x3feec055d03d80ac,0x3ff9d3fb0394de33,3
+np.float64,0x8010000000000000,0x8010000000000000,3
+np.float64,0xbfd070860ea0e10c,0xbfccfeec2828efef,3
+np.float64,0x80015c8b3e82b917,0x80015c8b3e82b917,3
+np.float64,0xffef9956d9ff32ad,0xbff0000000000000,3
+np.float64,0x7fe7f087dd2fe10f,0x7ff0000000000000,3
+np.float64,0x8002e7718665cee4,0x8002e7718665cee4,3
+np.float64,0x3fdfb9adb2bf735c,0x3fe4887a86214c1e,3
+np.float64,0xffc7747dfb2ee8fc,0xbff0000000000000,3
+np.float64,0x3fec309bb5386137,0x3ff69c44e1738547,3
+np.float64,0xffdbe2bf9ab7c580,0xbff0000000000000,3
+np.float64,0xbfe6a274daed44ea,0xbfe039aff2be9d48,3
+np.float64,0x7fd5a4e4efab49c9,0x7ff0000000000000,3
+np.float64,0xffbe6aaeb03cd560,0xbff0000000000000,3

.venv/lib/python3.11/site-packages/numpy/core/tests/data/umath-validation-set-log.csv

@@ -0,0 +1,271 @@
+dtype,input,output,ulperrortol
+## +ve denormals ##
+np.float32,0x004b4716,0xc2afbc1b,4
+np.float32,0x007b2490,0xc2aec01e,4
+np.float32,0x007c99fa,0xc2aeba17,4
+np.float32,0x00734a0c,0xc2aee1dc,4
+np.float32,0x0070de24,0xc2aeecba,4
+np.float32,0x007fffff,0xc2aeac50,4
+np.float32,0x00000001,0xc2ce8ed0,4
+## -ve denormals ##
+np.float32,0x80495d65,0xffc00000,4
+np.float32,0x806894f6,0xffc00000,4
+np.float32,0x80555a76,0xffc00000,4
+np.float32,0x804e1fb8,0xffc00000,4
+np.float32,0x80687de9,0xffc00000,4
+np.float32,0x807fffff,0xffc00000,4
+np.float32,0x80000001,0xffc00000,4
+## +/-0.0f, +/-FLT_MIN +/-FLT_MAX ##
+np.float32,0x00000000,0xff800000,4
+np.float32,0x80000000,0xff800000,4
+np.float32,0x7f7fffff,0x42b17218,4
+np.float32,0x80800000,0xffc00000,4
+np.float32,0xff7fffff,0xffc00000,4
+## 1.00f + 0x00000001 ##
+np.float32,0x3f800000,0x00000000,4
+np.float32,0x3f800001,0x33ffffff,4
+np.float32,0x3f800002,0x347ffffe,4
+np.float32,0x3f7fffff,0xb3800000,4
+np.float32,0x3f7ffffe,0xb4000000,4
+np.float32,0x3f7ffffd,0xb4400001,4
+np.float32,0x402df853,0x3f7ffffe,4
+np.float32,0x402df854,0x3f7fffff,4
+np.float32,0x402df855,0x3f800000,4
+np.float32,0x402df856,0x3f800001,4
+np.float32,0x3ebc5ab0,0xbf800001,4
+np.float32,0x3ebc5ab1,0xbf800000,4
+np.float32,0x3ebc5ab2,0xbf800000,4
+np.float32,0x3ebc5ab3,0xbf7ffffe,4
+np.float32,0x423ef575,0x407768ab,4
+np.float32,0x427b8c61,0x408485dd,4
+np.float32,0x4211e9ee,0x406630b0,4
+np.float32,0x424d5c41,0x407c0fed,4
+np.float32,0x42be722a,0x4091cc91,4
+np.float32,0x42b73d30,0x4090908b,4
+np.float32,0x427e48e2,0x4084de7f,4
+np.float32,0x428f759b,0x4088bba3,4
+np.float32,0x41629069,0x4029a0cc,4
+np.float32,0x4272c99d,0x40836379,4
+np.float32,0x4d1b7458,0x4197463d,4
+np.float32,0x4f10c594,0x41ace2b2,4
+np.float32,0x4ea397c2,0x41a85171,4
+np.float32,0x4fefa9d1,0x41b6769c,4
+np.float32,0x4ebac6ab,0x41a960dc,4
+np.float32,0x4f6efb42,0x41b0e535,4
+np.float32,0x4e9ab8e7,0x41a7df44,4
+np.float32,0x4e81b5d1,0x41a67625,4
+np.float32,0x5014d9f2,0x41b832bd,4
+np.float32,0x4f02175c,0x41ac07b8,4
+np.float32,0x7f034f89,0x42b01c47,4
+np.float32,0x7f56d00e,0x42b11849,4
+np.float32,0x7f1cd5f6,0x42b0773a,4
+np.float32,0x7e979174,0x42af02d7,4
+np.float32,0x7f23369f,0x42b08ba2,4
+np.float32,0x7f0637ae,0x42b0277d,4
+np.float32,0x7efcb6e8,0x42b00897,4
+np.float32,0x7f7907c8,0x42b163f6,4
+np.float32,0x7e95c4c2,0x42aefcba,4
+np.float32,0x7f4577b2,0x42b0ed2d,4
+np.float32,0x3f49c92e,0xbe73ae84,4
+np.float32,0x3f4a23d1,0xbe71e2f8,4
+np.float32,0x3f4abb67,0xbe6ee430,4
+np.float32,0x3f48169a,0xbe7c5532,4
+np.float32,0x3f47f5fa,0xbe7cfc37,4
+np.float32,0x3f488309,0xbe7a2ad8,4
+np.float32,0x3f479df4,0xbe7ebf5f,4
+np.float32,0x3f47cfff,0xbe7dbec9,4
+np.float32,0x3f496704,0xbe75a125,4
+np.float32,0x3f478ee8,0xbe7f0c92,4
+np.float32,0x3f4a763b,0xbe7041ce,4
+np.float32,0x3f47a108,0xbe7eaf94,4
+np.float32,0x3f48136c,0xbe7c6578,4
+np.float32,0x3f481c17,0xbe7c391c,4
+np.float32,0x3f47cd28,0xbe7dcd56,4
+np.float32,0x3f478be8,0xbe7f1bf7,4
+np.float32,0x3f4c1f8e,0xbe67e367,4
+np.float32,0x3f489b0c,0xbe79b03f,4
+np.float32,0x3f4934cf,0xbe76a08a,4
+np.float32,0x3f4954df,0xbe75fd6a,4
+np.float32,0x3f47a3f5,0xbe7ea093,4
+np.float32,0x3f4ba4fc,0xbe6a4b02,4
+np.float32,0x3f47a0e1,0xbe7eb05c,4
+np.float32,0x3f48c30a,0xbe78e42f,4
+np.float32,0x3f48cab8,0xbe78bd05,4
+np.float32,0x3f4b0569,0xbe6d6ea4,4
+np.float32,0x3f47de32,0xbe7d7607,4
+np.float32,0x3f477328,0xbe7f9b00,4
+np.float32,0x3f496dab,0xbe757f52,4
+np.float32,0x3f47662c,0xbe7fddac,4
+np.float32,0x3f48ddd8,0xbe785b80,4
+np.float32,0x3f481866,0xbe7c4bff,4
+np.float32,0x3f48b119,0xbe793fb6,4
+np.float32,0x3f48c7e8,0xbe78cb5c,4
+np.float32,0x3f4985f6,0xbe7503da,4
+np.float32,0x3f483fdf,0xbe7b8212,4
+np.float32,0x3f4b1c76,0xbe6cfa67,4
+np.float32,0x3f480b2e,0xbe7c8fa8,4
+np.float32,0x3f48745f,0xbe7a75bf,4
+np.float32,0x3f485bda,0xbe7af308,4
+np.float32,0x3f47a660,0xbe7e942c,4
+np.float32,0x3f47d4d5,0xbe7da600,4
+np.float32,0x3f4b0a26,0xbe6d56be,4
+np.float32,0x3f4a4883,0xbe712924,4
+np.float32,0x3f4769e7,0xbe7fca84,4
+np.float32,0x3f499702,0xbe74ad3f,4
+np.float32,0x3f494ab1,0xbe763131,4
+np.float32,0x3f476b69,0xbe7fc2c6,4
+np.float32,0x3f4884e8,0xbe7a214a,4
+np.float32,0x3f486945,0xbe7aae76,4
+#float64
+## +ve denormal ##
+np.float64,0x0000000000000001,0xc0874385446d71c3,2
+np.float64,0x0001000000000000,0xc086395a2079b70c,2
+np.float64,0x000fffffffffffff,0xc086232bdd7abcd2,2
+np.float64,0x0007ad63e2168cb6,0xc086290bc0b2980f,2
+## -ve denormal ##
+np.float64,0x8000000000000001,0xfff8000000000001,2
+np.float64,0x8001000000000000,0xfff8000000000001,2
+np.float64,0x800fffffffffffff,0xfff8000000000001,2
+np.float64,0x8007ad63e2168cb6,0xfff8000000000001,2
+## +/-0.0f, MAX, MIN##
+np.float64,0x0000000000000000,0xfff0000000000000,2
+np.float64,0x8000000000000000,0xfff0000000000000,2
+np.float64,0x7fefffffffffffff,0x40862e42fefa39ef,2
+np.float64,0xffefffffffffffff,0xfff8000000000001,2
+## near 1.0f ##
+np.float64,0x3ff0000000000000,0x0000000000000000,2
+np.float64,0x3fe8000000000000,0xbfd269621134db92,2
+np.float64,0x3ff0000000000001,0x3cafffffffffffff,2
+np.float64,0x3ff0000020000000,0x3e7fffffe000002b,2
+np.float64,0x3ff0000000000001,0x3cafffffffffffff,2
+np.float64,0x3fefffffe0000000,0xbe70000008000005,2
+np.float64,0x3fefffffffffffff,0xbca0000000000000,2
+## random numbers ##
+np.float64,0x02500186f3d9da56,0xc0855b8abf135773,2
+np.float64,0x09200815a3951173,0xc082ff1ad7131bdc,2
+np.float64,0x0da029623b0243d4,0xc0816fc994695bb5,2
+np.float64,0x48703b8ac483a382,0x40579213a313490b,2
+np.float64,0x09207b74c87c9860,0xc082fee20ff349ef,2
+np.float64,0x62c077698e8df947,0x407821c996d110f0,2
+np.float64,0x2350b45e87c3cfb0,0xc073d6b16b51d072,2
+np.float64,0x3990a23f9ff2b623,0xc051aa60eadd8c61,2
+np.float64,0x0d011386a116c348,0xc081a6cc7ea3b8fb,2
+np.float64,0x1fe0f0303ebe273a,0xc0763870b78a81ca,2
+np.float64,0x0cd1260121d387da,0xc081b7668d61a9d1,2
+np.float64,0x1e6135a8f581d422,0xc077425ac10f08c2,2
+np.float64,0x622168db5fe52d30,0x4077b3c669b9fadb,2
+np.float64,0x69f188e1ec6d1718,0x407d1e2f18c63889,2
+np.float64,0x3aa1bf1d9c4dd1a3,0xc04d682e24bde479,2
+np.float64,0x6c81c4011ce4f683,0x407ee5190e8a8e6a,2
+np.float64,0x2191fa55aa5a5095,0xc0750c0c318b5e2d,2
+np.float64,0x32a1f602a32bf360,0xc06270caa493fc17,2
+np.float64,0x16023c90ba93249b,0xc07d0f88e0801638,2
+np.float64,0x1c525fe6d71fa9ff,0xc078af49c66a5d63,2
+np.float64,0x1a927675815d65b7,0xc079e5bdd7fe376e,2
+np.float64,0x41227b8fe70da028,0x402aa0c9f9a84c71,2
+np.float64,0x4962bb6e853fe87d,0x405a34aa04c83747,2
+np.float64,0x23d2cda00b26b5a4,0xc0737c13a06d00ea,2
+np.float64,0x2d13083fd62987fa,0xc06a25055aeb474e,2
+np.float64,0x10e31e4c9b4579a1,0xc0804e181929418e,2
+np.float64,0x26d3247d556a86a9,0xc0716774171da7e8,2
+np.float64,0x6603379398d0d4ac,0x407a64f51f8a887b,2
+np.float64,0x02d38af17d9442ba,0xc0852d955ac9dd68,2
+np.float64,0x6a2382b4818dd967,0x407d4129d688e5d4,2
+np.float64,0x2ee3c403c79b3934,0xc067a091fefaf8b6,2
+np.float64,0x6493a699acdbf1a4,0x4079663c8602bfc5,2
+np.float64,0x1c8413c4f0de3100,0xc0788c99697059b6,2
+np.float64,0x4573f1ed350d9622,0x404e9bd1e4c08920,2
+np.float64,0x2f34265c9200b69c,0xc067310cfea4e986,2
+np.float64,0x19b43e65fa22029b,0xc07a7f8877de22d6,2
+np.float64,0x0af48ab7925ed6bc,0xc0825c4fbc0e5ade,2
+np.float64,0x4fa49699cad82542,0x4065c76d2a318235,2
+np.float64,0x7204a15e56ade492,0x40815bb87484dffb,2
+np.float64,0x4734aa08a230982d,0x40542a4bf7a361a9,2
+np.float64,0x1ae4ed296c2fd749,0xc079ac4921f20abb,2
+np.float64,0x472514ea4370289c,0x4053ff372bd8f18f,2
+np.float64,0x53a54b3f73820430,0x406b5411fc5f2e33,2
+np.float64,0x64754de5a15684fa,0x407951592e99a5ab,2
+np.float64,0x69358e279868a7c3,0x407c9c671a882c31,2
+np.float64,0x284579ec61215945,0xc0706688e55f0927,2
+np.float64,0x68b5c58806447adc,0x407c43d6f4eff760,2
+np.float64,0x1945a83f98b0e65d,0xc07acc15eeb032cc,2
+np.float64,0x0fc5eb98a16578bf,0xc080b0d02eddca0e,2
+np.float64,0x6a75e208f5784250,0x407d7a7383bf8f05,2
+np.float64,0x0fe63a029c47645d,0xc080a59ca1e98866,2
+np.float64,0x37963ac53f065510,0xc057236281f7bdb6,2
+np.float64,0x135661bb07067ff7,0xc07ee924930c21e4,2
+np.float64,0x4b4699469d458422,0x405f73843756e887,2
+np.float64,0x1a66d73e4bf4881b,0xc07a039ba1c63adf,2
+np.float64,0x12a6b9b119a7da59,0xc07f62e49c6431f3,2
+np.float64,0x24c719aa8fd1bdb5,0xc072d26da4bf84d3,2
+np.float64,0x0fa6ff524ffef314,0xc080bb8514662e77,2
+np.float64,0x1db751d66fdd4a9a,0xc077b77cb50d7c92,2
+np.float64,0x4947374c516da82c,0x4059e9acfc7105bf,2
+np.float64,0x1b1771ab98f3afc8,0xc07989326b8e1f66,2
+np.float64,0x25e78805baac8070,0xc0720a818e6ef080,2
+np.float64,0x4bd7a148225d3687,0x406082d004ea3ee7,2
+np.float64,0x53d7d6b2bbbda00a,0x406b9a398967cbd5,2
+np.float64,0x6997fb9f4e1c685f,0x407ce0a703413eba,2
+np.float64,0x069802c2ff71b951,0xc083df39bf7acddc,2
+np.float64,0x4d683ac9890f66d8,0x4062ae21d8c2acf0,2
+np.float64,0x5a2825863ec14f4c,0x40722d718d549552,2
+np.float64,0x0398799a88f4db80,0xc084e93dab8e2158,2
+np.float64,0x5ed87a8b77e135a5,0x40756d7051777b33,2
+np.float64,0x5828cd6d79b9bede,0x4070cafb22fc6ca1,2
+np.float64,0x7b18ba2a5ec6f068,0x408481386b3ed6fe,2
+np.float64,0x4938fd60922198fe,0x4059c206b762ea7e,2
+np.float64,0x31b8f44fcdd1a46e,0xc063b2faa8b6434e,2
+np.float64,0x5729341c0d918464,0x407019cac0c4a7d7,2
+np.float64,0x13595e9228ee878e,0xc07ee7235a7d8088,2
+np.float64,0x17698b0dc9dd4135,0xc07c1627e3a5ad5f,2
+np.float64,0x63b977c283abb0cc,0x4078cf1ec6ed65be,2
+np.float64,0x7349cc0d4dc16943,0x4081cc697ce4cb53,2
+np.float64,0x4e49a80b732fb28d,0x4063e67e3c5cbe90,2
+np.float64,0x07ba14b848a8ae02,0xc0837ac032a094e0,2
+np.float64,0x3da9f17b691bfddc,0xc03929c25366acda,2
+np.float64,0x02ea39aa6c3ac007,0xc08525af6f21e1c4,2
+np.float64,0x3a6a42f04ed9563d,0xc04e98e825dca46b,2
+np.float64,0x1afa877cd7900be7,0xc0799d6648cb34a9,2
+np.float64,0x58ea986649e052c6,0x4071512e939ad790,2
+np.float64,0x691abbc04647f536,0x407c89aaae0fcb83,2
+np.float64,0x43aabc5063e6f284,0x4044b45d18106fd2,2
+np.float64,0x488b003c893e0bea,0x4057df012a2dafbe,2
+np.float64,0x77eb076ed67caee5,0x40836720de94769e,2
+np.float64,0x5c1b46974aba46f4,0x40738731ba256007,2
+np.float64,0x1a5b29ecb5d3c261,0xc07a0becc77040d6,2
+np.float64,0x5d8b6ccf868c6032,0x4074865c1865e2db,2
+np.float64,0x4cfb6690b4aaf5af,0x406216cd8c7e8ddb,2
+np.float64,0x76cbd8eb5c5fc39e,0x4083038dc66d682b,2
+np.float64,0x28bbd1fec5012814,0xc07014c2dd1b9711,2
+np.float64,0x33dc1b3a4fd6bf7a,0xc060bd0756e07d8a,2
+np.float64,0x52bbe89b37de99f3,0x406a10041aa7d343,2
+np.float64,0x07bc479d15eb2dd3,0xc0837a1a6e3a3b61,2
+np.float64,0x18fc5275711a901d,0xc07aff3e9d62bc93,2
+np.float64,0x114c9758e247dc71,0xc080299a7cf15b05,2
+np.float64,0x25ac8f6d60755148,0xc07233c4c0c511d4,2
+np.float64,0x260cae2bb9e9fd7e,0xc071f128c7e82eac,2
+np.float64,0x572ccdfe0241de82,0x40701bedc84bb504,2
+np.float64,0x0ddcef6c8d41f5ee,0xc0815a7e16d07084,2
+np.float64,0x6dad1d59c988af68,0x407fb4a0bc0142b1,2
+np.float64,0x025d200580d8b6d1,0xc08556c0bc32b1b2,2
+np.float64,0x7aad344b6aa74c18,0x40845bbc453f22be,2
+np.float64,0x5b5d9d6ad9d14429,0x4073036d2d21f382,2
+np.float64,0x49cd8d8dcdf19954,0x405b5c034f5c7353,2
+np.float64,0x63edb9483335c1e6,0x4078f2dd21378786,2
+np.float64,0x7b1dd64c9d2c26bd,0x408482b922017bc9,2
+np.float64,0x782e13e0b574be5f,0x40837e2a0090a5ad,2
+np.float64,0x592dfe18b9d6db2f,0x40717f777fbcb1ec,2
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