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| #include <algorithm>
| #include <fstream>
| #include <iostream>
| #include <cmath>
| #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, 2.37, 3.3},
| {"cos", cos, cos, 2.36, 3.38},
| {"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;
| }
|
|
