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utils.h
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#pragma once
#include <math.h>
#include <algorithm>
#include <chrono>
#include <exception>
#include <functional>
#include <iomanip>
#include <iostream>
#include <limits>
#include <random>
#include <utility>
#include <type_traits>
#include <assert.h>
using dim_t = int;
//#define LAST_INDEX_FAST 1
//#define SHOW_MATRIX 1
#if defined(LAST_INDEX_FAST)
constexpr bool ISLASTINDEX_FAST = true;
#define aPtr(i, j) A[(i)*ldA + (j)] // map aPtr( i,j ) to array A
#define bPtr(i, j) B[(i)*ldB + (j)] // map bPtr( i,j ) to array B
#define gPtr(i, j) C[(i)*ldC + (j)] // map gPtr( i,j ) to array C
#else
constexpr bool ISLASTINDEX_FAST = false;
#define aPtr(i, j) A[(j)*ldA + (i)] // map aPtr( i,j ) to array A
#define bPtr(i, j) B[(j)*ldB + (i)] // map bPtr( i,j ) to array B
#define gPtr(i, j) C[(j)*ldC + (i)] // map gPtr( i,j ) to array C
#endif
template <typename T>
struct conv_t {
using V = T;
};
template <>
struct conv_t<uint8_t> {
using V = int;
};
template <>
struct conv_t<int8_t> {
using V = int;
};
template <bool LastIndexFast = ISLASTINDEX_FAST>
int64_t determineLd(int m, int n, int ld, bool trans = false) {
if (LastIndexFast) {
return trans ? std::max(m, ld) : std::max(n, ld);
} else {
return trans ? std::max(n, ld) : std::max(m, ld);
}
}
template <bool LastIndexFast = ISLASTINDEX_FAST>
inline int64_t determineSize(int m, int n, int ld, bool trans = false) {
if (LastIndexFast) {
return trans ? (std::max(m, ld) * n) : (std::max(n, ld) * m);
} else {
return trans ? (std::max(n, ld) * m) : (std::max(m, ld) * n);
}
}
template <typename T, bool LastIndexFast = ISLASTINDEX_FAST,
typename ElementCAST = T>
struct matrix_ptr_t {
matrix_ptr_t(T *a, int64_t ld) : a {a}, ld {ld} {}
matrix_ptr_t(T *a, int64_t m, int64_t n, int64_t ld, bool trans = false)
: a {a} {
if (LastIndexFast) {
this->ld = trans ? std::max(m, ld) : std::max(n, ld);
} else {
this->ld= trans ? std::max(n, ld) : std::max(m, ld);
}
}
T *ptr(int64_t i, int64_t j) {
if (LastIndexFast)
return a + i * ld + j;
else
return a + j * ld + i;
}
T &element(int64_t i, int64_t j) {
if (LastIndexFast)
return a[i * ld + j];
else
return a[j * ld + i];
}
T &operator()(int64_t i, int64_t j) { return element(i, j); }
ElementCAST element(int64_t i, int64_t j) const {
if (LastIndexFast)
return (ElementCAST)a[i * ld + j];
else
return (ElementCAST)a[j * ld + i];
}
ElementCAST operator()(int64_t i, int64_t j) const { return element(i, j); }
T *a;
int64_t ld;
};
struct test_seed_t {
test_seed_t()
: seed(std::chrono::high_resolution_clock::now()
.time_since_epoch()
.count()) {}
test_seed_t(uint64_t seed) : seed(seed) {}
uint64_t getSeed() const { return seed; }
operator uint64_t() const { return seed; }
test_seed_t add(uint64_t index) const { return test_seed_t(seed + index); }
private:
uint64_t seed;
};
template <typename T, bool is_floating_point = std::is_floating_point<T>::value>
struct value_gen_t {
std::uniform_int_distribution<int64_t> dis;
std::mt19937 gen;
value_gen_t()
: value_gen_t(
std::numeric_limits<T>::min(), std::numeric_limits<T>::max()) {}
value_gen_t(uint64_t seed)
: value_gen_t(std::numeric_limits<T>::min(),
std::numeric_limits<T>::max(), seed) {}
value_gen_t(T start, T stop, uint64_t seed = test_seed_t()) {
gen = std::mt19937(seed);
dis = std::uniform_int_distribution<int64_t>(start, stop);
}
T get() { return static_cast<T>(dis(gen)); }
};
template <typename T>
struct value_gen_t<T, true> {
std::mt19937 gen;
std::normal_distribution<T> normal;
std::uniform_int_distribution<int> roundChance;
T _start;
T _stop;
bool use_sign_change = false;
bool use_round = true;
value_gen_t()
: value_gen_t(
std::numeric_limits<T>::min(), std::numeric_limits<T>::max()) {}
value_gen_t(uint64_t seed)
: value_gen_t(std::numeric_limits<T>::min(),
std::numeric_limits<T>::max(), seed) {}
value_gen_t(T start, T stop, uint64_t seed = test_seed_t()) {
gen = std::mt19937(seed);
T mean = start * static_cast<T>(0.5) + stop * static_cast<T>(0.5);
// make it normal +-3sigma
T divRange = static_cast<T>(6.0);
T stdev = std::abs(stop / divRange - start / divRange);
normal = std::normal_distribution<T> {mean, stdev};
// in real its hard to get rounded value
// so we will force it by uniform chance
roundChance = std::uniform_int_distribution<int>(0, 5);
_start = start;
_stop = stop;
}
T get() {
T a = normal(gen);
// make rounded value ,too
auto rChoice = roundChance(gen);
if (rChoice == 1) a = std::round(a);
if (a < _start) return nextafter(_start, _stop);
if (a >= _stop) return nextafter(_stop, _start);
return a;
}
};
template <typename T>
void randomMatrix(int m, int n, T *ap, int lda, T min, T max,
uint64_t seed = test_seed_t()) {
auto Aptr = matrix_ptr_t<T> {ap, lda};
value_gen_t<T> gen(min, max, seed);
for (int j = 0; j < n; j++)
for (int i = 0; i < m; i++)
Aptr(i, j) = gen.get();
}
template <typename T>
void randomMatrix(int m, int n, T *ap, int lda, uint64_t seed = test_seed_t()) {
auto Aptr = matrix_ptr_t<T> {ap, lda};
value_gen_t<T> gen(seed);
for (int j = 0; j < n; j++)
for (int i = 0; i < m; i++)
Aptr(i, j) = gen.get();
}
template <typename T>
void fillMatrix(int m, int n, T *ap, int lda, T val) {
auto Aptr = matrix_ptr_t<T> {ap, lda};
for (int i = 0; i < m; i++)
for (int j = 0; j < n; j++)
Aptr(i, j) = val;
}
template <typename T>
void linMatrix(int m, int n, T *ap, int lda, T val) {
auto Aptr = matrix_ptr_t<T> {ap, lda};
int v = (int)val;
for (int i = 0; i < m; i++)
for (int j = 0; j < n; j++) {
Aptr(i, j) = (T)(v++);
}
}
template <typename T>
void showMatrix(int64_t R, int64_t C, const T *M, int64_t LD,
const char *name = "", bool trans = false) {
#if defined(SHOW_MATRIX)
auto Mptr = matrix_ptr_t<const T> {M, R, C, LD, trans};
std::cout << "\n#-----"<<R<<";"<<C<<"-----\n" << name << "=np.array([\n";
for (int r = 0; r < R; r++) {
std::cout << "[ ";
for (int c = 0; c < C; c++) {
std::cout << std::setfill(' ') << std::setw(3)
<< (int)Mptr(r, c);
if (c < C - 1) std::cout << ", ";
}
std::cout << "],\n";
}
std::cout << "])\n\n";
#endif
}
template <typename CT, typename T>
CT maxAbsDiff(
int m, int n, T *ap, int lda, T *bp, int ldb, bool transFirst = false) {
CT diff {};
auto Aptr = matrix_ptr_t<const T> {ap, lda};
auto Bptr = matrix_ptr_t<const T> {bp, ldb};
for (int i = 0; i < m; i++)
for (int j = 0; j < n; j++) {
auto first = !transFirst ? Aptr(i, j) : Aptr(j, i);
CT current = std::abs((CT)(first - Bptr(i, j)));
if (current > diff) {
diff = current;
// std::cout<<diff<<","<<current<<"("<<i<<","<<j<<")\n";
}
}
return diff;
}
namespace utils{
template <typename T>
T *align_ptr(T *ptr, uintptr_t alignment) {
return (T *)(((uintptr_t)ptr + alignment - 1) & ~(alignment - 1));
}
template <typename T, typename P>
constexpr bool one_of(T val, P item) {
return val == item;
}
template <typename T, typename P, typename... Args>
constexpr bool one_of(T val, P item, Args... item_others) {
return val == item || one_of(val, item_others...);
}
template <typename... Args>
constexpr bool any_null(Args... ptrs) {
return one_of(nullptr, ptrs...);
}
template <typename T>
inline T nd_iterator_init(T start) {
return start;
}
template <typename T, typename U, typename W, typename... Args>
inline T nd_iterator_init(T start, U &x, const W &X, Args &&...tuple) {
start = nd_iterator_init(start, std::forward<Args>(tuple)...);
x = start % X;
return start / X;
}
inline bool nd_iterator_step() {
return true;
}
template <typename U, typename W, typename... Args>
inline bool nd_iterator_step(U &x, const W &X, Args &&...tuple) {
if (nd_iterator_step(std::forward<Args>(tuple)...)) {
if (++x - X == 0) {
x = 0;
return true;
}
}
return false;
}
template <typename U, typename W, typename Y>
inline bool nd_iterator_jump(U &cur, const U end, W &x, const Y &X) {
U max_jump = end - cur;
U dim_jump = X - x;
if (dim_jump <= max_jump) {
x = 0;
cur += dim_jump;
return true;
} else {
cur += max_jump;
x += max_jump;
return false;
}
}
template <typename U, typename W, typename Y, typename... Args>
inline bool nd_iterator_jump(
U &cur, const U end, W &x, const Y &X, Args &&...tuple) {
if (nd_iterator_jump(cur, end, std::forward<Args>(tuple)...)) {
if (++x - X == 0) {
x = 0;
return true;
}
}
return false;
}
template <typename T, typename U>
inline typename std::remove_reference<T>::type div_up(const T a, const U b) {
assert(b);
return static_cast<typename std::remove_reference<T>::type>((a + b - 1) / b);
}
}