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Diffstat (limited to 'tests/validation/FixedPoint.h')
| -rw-r--r-- | tests/validation/FixedPoint.h | 997 |
1 files changed, 0 insertions, 997 deletions
diff --git a/tests/validation/FixedPoint.h b/tests/validation/FixedPoint.h deleted file mode 100644 index 81c4f53724..0000000000 --- a/tests/validation/FixedPoint.h +++ /dev/null @@ -1,997 +0,0 @@ -/* - * Copyright (c) 2017-2018 ARM Limited. - * - * SPDX-License-Identifier: MIT - * - * Permission is hereby granted, free of charge, to any person obtaining a copy - * of this software and associated documentation files (the "Software"), to - * deal in the Software without restriction, including without limitation the - * rights to use, copy, modify, merge, publish, distribute, sublicense, and/or - * sell copies of the Software, and to permit persons to whom the Software is - * furnished to do so, subject to the following conditions: - * - * The above copyright notice and this permission notice shall be included in all - * copies or substantial portions of the Software. - * - * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR - * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, - * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE - * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER - * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, - * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE - * SOFTWARE. - */ -#ifndef __ARM_COMPUTE_TEST_VALIDATION_FIXEDPOINT_H__ -#define __ARM_COMPUTE_TEST_VALIDATION_FIXEDPOINT_H__ - -#include "support/ToolchainSupport.h" -#include "tests/Utils.h" - -#include <cassert> -#include <cstdint> -#include <cstdlib> -#include <limits> -#include <string> -#include <type_traits> - -namespace arm_compute -{ -namespace test -{ -namespace fixed_point_arithmetic -{ -namespace detail -{ -// Forward declare structs -struct functions; -template <typename T> -struct constant_expr; -} - -/** Fixed point traits */ -namespace traits -{ -// Promote types -// *INDENT-OFF* -// clang-format off -/** Promote a type */ -template <typename T> struct promote { }; -/** Promote uint8_t to uint16_t */ -template <> struct promote<uint8_t> { using type = uint16_t; /**< Promoted type */ }; -/** Promote int8_t to int16_t */ -template <> struct promote<int8_t> { using type = int16_t; /**< Promoted type */ }; -/** Promote uint16_t to uint32_t */ -template <> struct promote<uint16_t> { using type = uint32_t; /**< Promoted type */ }; -/** Promote int16_t to int32_t */ -template <> struct promote<int16_t> { using type = int32_t; /**< Promoted type */ }; -/** Promote uint32_t to uint64_t */ -template <> struct promote<uint32_t> { using type = uint64_t; /**< Promoted type */ }; -/** Promote int32_t to int64_t */ -template <> struct promote<int32_t> { using type = int64_t; /**< Promoted type */ }; -/** Promote float to float */ -template <> struct promote<float> { using type = float; /**< Promoted type */ }; -/** Promote half to half */ -template <> struct promote<half> { using type = half; /**< Promoted type */ }; - -/** Get promoted type */ -template <typename T> -using promote_t = typename promote<T>::type; -// clang-format on -// *INDENT-ON* -} - -/** Strongly typed enum class representing the overflow policy */ -enum class OverflowPolicy -{ - WRAP, /**< Wrap policy */ - SATURATE /**< Saturate policy */ -}; -/** Strongly typed enum class representing the rounding policy */ -enum class RoundingPolicy -{ - TO_ZERO, /**< Round to zero policy */ - TO_NEAREST_EVEN /**< Round to nearest even policy */ -}; - -/** Arbitrary fixed-point arithmetic class */ -template <typename T> -class fixed_point -{ -public: - // Static Checks - static_assert(std::is_integral<T>::value, "Type is not an integer"); - - /** Constructor (from different fixed point type) - * - * @param[in] val Fixed point - * @param[in] p Fixed point precision - */ - template <typename U> - fixed_point(fixed_point<U> val, uint8_t p) - : _value(0), _fixed_point_position(p) - { - assert(p > 0 && p < std::numeric_limits<T>::digits); - T v = 0; - - if(std::numeric_limits<T>::digits < std::numeric_limits<U>::digits) - { - val.rescale(p); - v = detail::constant_expr<T>::saturate_cast(val.raw()); - } - else - { - auto v_cast = static_cast<fixed_point<T>>(val); - v_cast.rescale(p); - v = v_cast.raw(); - } - _value = static_cast<T>(v); - } - /** Constructor (from integer) - * - * @param[in] val Integer value to be represented as fixed point - * @param[in] p Fixed point precision - * @param[in] is_raw If true val is a raw fixed point value else an integer - */ - template <typename U, typename = typename std::enable_if<std::is_integral<U>::value>::type> - fixed_point(U val, uint8_t p, bool is_raw = false) - : _value(val << p), _fixed_point_position(p) - { - if(is_raw) - { - _value = val; - } - } - /** Constructor (from float) - * - * @param[in] val Float value to be represented as fixed point - * @param[in] p Fixed point precision - */ - fixed_point(float val, uint8_t p) - : _value(detail::constant_expr<T>::to_fixed(val, p)), _fixed_point_position(p) - { - assert(p > 0 && p < std::numeric_limits<T>::digits); - } - /** Constructor (from float string) - * - * @param[in] str Float string to be represented as fixed point - * @param[in] p Fixed point precision - */ - fixed_point(std::string str, uint8_t p) - : _value(detail::constant_expr<T>::to_fixed(support::cpp11::stof(str), p)), _fixed_point_position(p) - { - assert(p > 0 && p < std::numeric_limits<T>::digits); - } - /** Default copy constructor */ - fixed_point &operator=(const fixed_point &) = default; - /** Default move constructor */ - fixed_point &operator=(fixed_point &&) = default; - /** Default copy assignment operator */ - fixed_point(const fixed_point &) = default; - /** Default move assignment operator */ - fixed_point(fixed_point &&) = default; - - /** Float conversion operator - * - * @return Float representation of fixed point - */ - operator float() const - { - return detail::constant_expr<T>::to_float(_value, _fixed_point_position); - } - /** Integer conversion operator - * - * @return Integer representation of fixed point - */ - template <typename U, typename = typename std::enable_if<std::is_integral<T>::value>::type> - operator U() const - { - return detail::constant_expr<T>::to_int(_value, _fixed_point_position); - } - /** Convert to different fixed point of different type but same precision - * - * @note Down-conversion might fail. - */ - template <typename U> - operator fixed_point<U>() - { - U val = static_cast<U>(_value); - if(std::numeric_limits<U>::digits < std::numeric_limits<T>::digits) - { - val = detail::constant_expr<U>::saturate_cast(_value); - } - return fixed_point<U>(val, _fixed_point_position, true); - } - - /** Arithmetic += assignment operator - * - * @param[in] rhs Fixed point operand - * - * @return Reference to this fixed point - */ - template <typename U> - fixed_point<T> &operator+=(const fixed_point<U> &rhs) - { - fixed_point<T> val(rhs, _fixed_point_position); - _value += val.raw(); - return *this; - } - /** Arithmetic -= assignment operator - * - * @param[in] rhs Fixed point operand - * - * @return Reference to this fixed point - */ - template <typename U> - fixed_point<T> &operator-=(const fixed_point<U> &rhs) - { - fixed_point<T> val(rhs, _fixed_point_position); - _value -= val.raw(); - return *this; - } - - /** Raw value accessor - * - * @return Raw fixed point value - */ - T raw() const - { - return _value; - } - /** Precision accessor - * - * @return Precision of fixed point - */ - uint8_t precision() const - { - return _fixed_point_position; - } - /** Rescale a fixed point to a new precision - * - * @param[in] p New fixed point precision - */ - void rescale(uint8_t p) - { - assert(p > 0 && p < std::numeric_limits<T>::digits); - - using promoted_T = typename traits::promote<T>::type; - promoted_T val = _value; - if(p > _fixed_point_position) - { - val <<= (p - _fixed_point_position); - } - else if(p < _fixed_point_position) - { - uint8_t pbar = _fixed_point_position - p; - val += (pbar != 0) ? (1 << (pbar - 1)) : 0; - val >>= pbar; - } - - _value = detail::constant_expr<T>::saturate_cast(val); - _fixed_point_position = p; - } - -private: - T _value; /**< Fixed point raw value */ - uint8_t _fixed_point_position; /**< Fixed point precision */ -}; - -namespace detail -{ -/** Count the number of leading zero bits in the given value. - * - * @param[in] value Input value. - * - * @return Number of leading zero bits. - */ -template <typename T> -constexpr int clz(T value) -{ - using unsigned_T = typename std::make_unsigned<T>::type; - // __builtin_clz is available for int. Need to correct reported number to - // match the original type. - return __builtin_clz(value) - (32 - std::numeric_limits<unsigned_T>::digits); -} - -/** Constant expressions */ -template <typename T> -struct constant_expr -{ - /** Calculate representation of 1 in fixed point given a fixed point precision - * - * @param[in] p Fixed point precision - * - * @return Representation of value 1 in fixed point. - */ - static constexpr T fixed_one(uint8_t p) - { - return (1 << p); - } - /** Calculate fixed point precision step given a fixed point precision - * - * @param[in] p Fixed point precision - * - * @return Fixed point precision step - */ - static constexpr float fixed_step(uint8_t p) - { - return (1.0f / static_cast<float>(1 << p)); - } - - /** Convert a fixed point value to float given its precision. - * - * @param[in] val Fixed point value - * @param[in] p Fixed point precision - * - * @return Float representation of the fixed point number - */ - static constexpr float to_float(T val, uint8_t p) - { - return static_cast<float>(val * fixed_step(p)); - } - /** Convert a fixed point value to integer given its precision. - * - * @param[in] val Fixed point value - * @param[in] p Fixed point precision - * - * @return Integer of the fixed point number - */ - static constexpr T to_int(T val, uint8_t p) - { - return val >> p; - } - /** Convert a single precision floating point value to a fixed point representation given its precision. - * - * @param[in] val Floating point value - * @param[in] p Fixed point precision - * - * @return The raw fixed point representation - */ - static constexpr T to_fixed(float val, uint8_t p) - { - return static_cast<T>(saturate_cast<float>(val * fixed_one(p) + ((val >= 0) ? 0.5 : -0.5))); - } - /** Clamp value between two ranges - * - * @param[in] val Value to clamp - * @param[in] min Minimum value to clamp to - * @param[in] max Maximum value to clamp to - * - * @return clamped value - */ - static constexpr T clamp(T val, T min, T max) - { - return std::min(std::max(val, min), max); - } - /** Saturate given number - * - * @param[in] val Value to saturate - * - * @return Saturated value - */ - template <typename U> - static constexpr T saturate_cast(U val) - { - return static_cast<T>(std::min<U>(std::max<U>(val, static_cast<U>(std::numeric_limits<T>::min())), static_cast<U>(std::numeric_limits<T>::max()))); - } -}; -/** Functions */ -struct functions -{ - /** Output stream operator - * - * @param[in] s Output stream - * @param[in] x Fixed point value - * - * @return Reference output to updated stream - */ - template <typename T, typename U, typename traits> - static std::basic_ostream<T, traits> &write(std::basic_ostream<T, traits> &s, fixed_point<U> &x) - { - return s << static_cast<float>(x); - } - /** Signbit of a fixed point number. - * - * @param[in] x Fixed point number - * - * @return True if negative else false. - */ - template <typename T> - static bool signbit(fixed_point<T> x) - { - return ((x.raw() >> std::numeric_limits<T>::digits) != 0); - } - /** Checks if two fixed point numbers are equal - * - * @param[in] x First fixed point operand - * @param[in] y Second fixed point operand - * - * @return True if fixed points are equal else false - */ - template <typename T> - static bool isequal(fixed_point<T> x, fixed_point<T> y) - { - uint8_t p = std::min(x.precision(), y.precision()); - x.rescale(p); - y.rescale(p); - return (x.raw() == y.raw()); - } - /** Checks if two fixed point number are not equal - * - * @param[in] x First fixed point operand - * @param[in] y Second fixed point operand - * - * @return True if fixed points are not equal else false - */ - template <typename T> - static bool isnotequal(fixed_point<T> x, fixed_point<T> y) - { - return !isequal(x, y); - } - /** Checks if one fixed point is greater than the other - * - * @param[in] x First fixed point operand - * @param[in] y Second fixed point operand - * - * @return True if fixed point is greater than other - */ - template <typename T> - static bool isgreater(fixed_point<T> x, fixed_point<T> y) - { - uint8_t p = std::min(x.precision(), y.precision()); - x.rescale(p); - y.rescale(p); - return (x.raw() > y.raw()); - } - /** Checks if one fixed point is greater or equal than the other - * - * @param[in] x First fixed point operand - * @param[in] y Second fixed point operand - * - * @return True if fixed point is greater or equal than other - */ - template <typename T> - static bool isgreaterequal(fixed_point<T> x, fixed_point<T> y) - { - uint8_t p = std::min(x.precision(), y.precision()); - x.rescale(p); - y.rescale(p); - return (x.raw() >= y.raw()); - } - /** Checks if one fixed point is less than the other - * - * @param[in] x First fixed point operand - * @param[in] y Second fixed point operand - * - * @return True if fixed point is less than other - */ - template <typename T> - static bool isless(fixed_point<T> x, fixed_point<T> y) - { - uint8_t p = std::min(x.precision(), y.precision()); - x.rescale(p); - y.rescale(p); - return (x.raw() < y.raw()); - } - /** Checks if one fixed point is less or equal than the other - * - * @param[in] x First fixed point operand - * @param[in] y Second fixed point operand - * - * @return True if fixed point is less or equal than other - */ - template <typename T> - static bool islessequal(fixed_point<T> x, fixed_point<T> y) - { - uint8_t p = std::min(x.precision(), y.precision()); - x.rescale(p); - y.rescale(p); - return (x.raw() <= y.raw()); - } - /** Checks if one fixed point is less or greater than the other - * - * @param[in] x First fixed point operand - * @param[in] y Second fixed point operand - * - * @return True if fixed point is less or greater than other - */ - template <typename T> - static bool islessgreater(fixed_point<T> x, fixed_point<T> y) - { - return isnotequal(x, y); - } - /** Clamp fixed point to specific range. - * - * @param[in] x Fixed point operand - * @param[in] min Minimum value to clamp to - * @param[in] max Maximum value to clamp to - * - * @return Clamped result - */ - template <typename T> - static fixed_point<T> clamp(fixed_point<T> x, T min, T max) - { - return fixed_point<T>(constant_expr<T>::clamp(x.raw(), min, max), x.precision(), true); - } - /** Negate number - * - * @param[in] x Fixed point operand - * - * @return Negated fixed point result - */ - template <OverflowPolicy OP = OverflowPolicy::SATURATE, typename T> - static fixed_point<T> negate(fixed_point<T> x) - { - using promoted_T = typename traits::promote<T>::type; - promoted_T val = -x.raw(); - if(OP == OverflowPolicy::SATURATE) - { - val = constant_expr<T>::saturate_cast(val); - } - return fixed_point<T>(static_cast<T>(val), x.precision(), true); - } - /** Perform addition among two fixed point numbers - * - * @param[in] x First fixed point operand - * @param[in] y Second fixed point operand - * - * @return Result fixed point with precision equal to minimum precision of both operands - */ - template <OverflowPolicy OP = OverflowPolicy::SATURATE, typename T> - static fixed_point<T> add(fixed_point<T> x, fixed_point<T> y) - { - uint8_t p = std::min(x.precision(), y.precision()); - x.rescale(p); - y.rescale(p); - if(OP == OverflowPolicy::SATURATE) - { - using type = typename traits::promote<T>::type; - type val = static_cast<type>(x.raw()) + static_cast<type>(y.raw()); - val = constant_expr<T>::saturate_cast(val); - return fixed_point<T>(static_cast<T>(val), p, true); - } - else - { - return fixed_point<T>(x.raw() + y.raw(), p, true); - } - } - /** Perform subtraction among two fixed point numbers - * - * @param[in] x First fixed point operand - * @param[in] y Second fixed point operand - * - * @return Result fixed point with precision equal to minimum precision of both operands - */ - template <OverflowPolicy OP = OverflowPolicy::SATURATE, typename T> - static fixed_point<T> sub(fixed_point<T> x, fixed_point<T> y) - { - uint8_t p = std::min(x.precision(), y.precision()); - x.rescale(p); - y.rescale(p); - if(OP == OverflowPolicy::SATURATE) - { - using type = typename traits::promote<T>::type; - type val = static_cast<type>(x.raw()) - static_cast<type>(y.raw()); - val = constant_expr<T>::saturate_cast(val); - return fixed_point<T>(static_cast<T>(val), p, true); - } - else - { - return fixed_point<T>(x.raw() - y.raw(), p, true); - } - } - /** Perform multiplication among two fixed point numbers - * - * @param[in] x First fixed point operand - * @param[in] y Second fixed point operand - * - * @return Result fixed point with precision equal to minimum precision of both operands - */ - template <OverflowPolicy OP = OverflowPolicy::SATURATE, typename T> - static fixed_point<T> mul(fixed_point<T> x, fixed_point<T> y) - { - using promoted_T = typename traits::promote<T>::type; - uint8_t p_min = std::min(x.precision(), y.precision()); - uint8_t p_max = std::max(x.precision(), y.precision()); - promoted_T round_factor = (1 << (p_max - 1)); - promoted_T val = ((static_cast<promoted_T>(x.raw()) * static_cast<promoted_T>(y.raw())) + round_factor) >> p_max; - if(OP == OverflowPolicy::SATURATE) - { - val = constant_expr<T>::saturate_cast(val); - } - return fixed_point<T>(static_cast<T>(val), p_min, true); - } - /** Perform division among two fixed point numbers - * - * @param[in] x First fixed point operand - * @param[in] y Second fixed point operand - * - * @return Result fixed point with precision equal to minimum precision of both operands - */ - template <OverflowPolicy OP = OverflowPolicy::SATURATE, typename T> - static fixed_point<T> div(fixed_point<T> x, fixed_point<T> y) - { - using promoted_T = typename traits::promote<T>::type; - uint8_t p = std::min(x.precision(), y.precision()); - promoted_T denom = static_cast<promoted_T>(y.raw()); - if(denom != 0) - { - promoted_T val = (static_cast<promoted_T>(x.raw()) << std::max(x.precision(), y.precision())) / denom; - if(OP == OverflowPolicy::SATURATE) - { - val = constant_expr<T>::saturate_cast(val); - } - return fixed_point<T>(static_cast<T>(val), p, true); - } - else - { - T val = (x.raw() < 0) ? std::numeric_limits<T>::min() : std::numeric_limits<T>::max(); - return fixed_point<T>(val, p, true); - } - } - /** Shift left - * - * @param[in] x Fixed point operand - * @param[in] shift Shift value - * - * @return Shifted value - */ - template <OverflowPolicy OP = OverflowPolicy::SATURATE, typename T> - static fixed_point<T> shift_left(fixed_point<T> x, size_t shift) - { - using promoted_T = typename traits::promote<T>::type; - promoted_T val = static_cast<promoted_T>(x.raw()) << shift; - if(OP == OverflowPolicy::SATURATE) - { - val = constant_expr<T>::saturate_cast(val); - } - return fixed_point<T>(static_cast<T>(val), x.precision(), true); - } - /** Shift right - * - * @param[in] x Fixed point operand - * @param[in] shift Shift value - * - * @return Shifted value - */ - template <typename T> - static fixed_point<T> shift_right(fixed_point<T> x, size_t shift) - { - return fixed_point<T>(x.raw() >> shift, x.precision(), true); - } - /** Calculate absolute value - * - * @param[in] x Fixed point operand - * - * @return Absolute value of operand - */ - template <typename T> - static fixed_point<T> abs(fixed_point<T> x) - { - using promoted_T = typename traits::promote<T>::type; - T val = (x.raw() < 0) ? constant_expr<T>::saturate_cast(-static_cast<promoted_T>(x.raw())) : x.raw(); - return fixed_point<T>(val, x.precision(), true); - } - /** Calculate the logarithm of a fixed point number - * - * @param[in] x Fixed point operand - * - * @return Logarithm value of operand - */ - template <typename T> - static fixed_point<T> log(fixed_point<T> x) - { - uint8_t p = x.precision(); - auto const_one = fixed_point<T>(static_cast<T>(1), p); - - // Logarithm of 1 is zero and logarithm of negative values is not defined in R, so return 0. - // Also, log(x) == -log(1/x) for 0 < x < 1. - if(isequal(x, const_one) || islessequal(x, fixed_point<T>(static_cast<T>(0), p))) - { - return fixed_point<T>(static_cast<T>(0), p, true); - } - else if(isless(x, const_one)) - { - return mul(log(div(const_one, x)), fixed_point<T>(-1, p)); - } - - // Remove even powers of 2 - T shift_val = 31 - __builtin_clz(x.raw() >> p); - x = shift_right(x, shift_val); - x = sub(x, const_one); - - // Constants - auto ln2 = fixed_point<T>(0.6931471, p); - auto A = fixed_point<T>(1.4384189, p); - auto B = fixed_point<T>(-0.67719, p); - auto C = fixed_point<T>(0.3218538, p); - auto D = fixed_point<T>(-0.0832229, p); - - // Polynomial expansion - auto sum = add(mul(x, D), C); - sum = add(mul(x, sum), B); - sum = add(mul(x, sum), A); - sum = mul(x, sum); - - return mul(add(sum, fixed_point<T>(static_cast<T>(shift_val), p)), ln2); - } - /** Calculate the exponential of a fixed point number. - * - * exp(x) = exp(floor(x)) * exp(x - floor(x)) - * = pow(2, floor(x) / ln(2)) * exp(x - floor(x)) - * = exp(x - floor(x)) << (floor(x) / ln(2)) - * - * @param[in] x Fixed point operand - * - * @return Exponential value of operand - */ - template <typename T> - static fixed_point<T> exp(fixed_point<T> x) - { - uint8_t p = x.precision(); - // Constants - auto const_one = fixed_point<T>(1, p); - auto ln2 = fixed_point<T>(0.6931471, p); - auto inv_ln2 = fixed_point<T>(1.442695, p); - auto A = fixed_point<T>(0.9978546, p); - auto B = fixed_point<T>(0.4994721, p); - auto C = fixed_point<T>(0.1763723, p); - auto D = fixed_point<T>(0.0435108, p); - - T scaled_int_part = detail::constant_expr<T>::to_int(mul(x, inv_ln2).raw(), p); - - // Polynomial expansion - auto frac_part = sub(x, mul(ln2, fixed_point<T>(scaled_int_part, p))); - auto taylor = add(mul(frac_part, D), C); - taylor = add(mul(frac_part, taylor), B); - taylor = add(mul(frac_part, taylor), A); - taylor = mul(frac_part, taylor); - taylor = add(taylor, const_one); - - // Saturate value - if(static_cast<T>(clz(taylor.raw())) <= scaled_int_part) - { - return fixed_point<T>(std::numeric_limits<T>::max(), p, true); - } - - return (scaled_int_part < 0) ? shift_right(taylor, -scaled_int_part) : shift_left(taylor, scaled_int_part); - } - /** Calculate the inverse square root of a fixed point number - * - * @param[in] x Fixed point operand - * - * @return Inverse square root value of operand - */ - template <typename T> - static fixed_point<T> inv_sqrt(fixed_point<T> x) - { - const uint8_t p = x.precision(); - int8_t shift = std::numeric_limits<T>::digits - (p + detail::clz(x.raw())); - - shift += std::numeric_limits<T>::is_signed ? 1 : 0; - - // Use volatile to restrict compiler optimizations on shift as compiler reports maybe-uninitialized error on Android - volatile int8_t *shift_ptr = &shift; - - auto const_three = fixed_point<T>(3, p); - auto a = (*shift_ptr < 0) ? shift_left(x, -(shift)) : shift_right(x, shift); - fixed_point<T> x2 = a; - - // We need three iterations to find the result for QS8 and five for QS16 - constexpr int num_iterations = std::is_same<T, int8_t>::value ? 3 : 5; - for(int i = 0; i < num_iterations; ++i) - { - fixed_point<T> three_minus_dx = sub(const_three, mul(a, mul(x2, x2))); - x2 = shift_right(mul(x2, three_minus_dx), 1); - } - - return (shift < 0) ? shift_left(x2, (-shift) >> 1) : shift_right(x2, shift >> 1); - } - /** Calculate the hyperbolic tangent of a fixed point number - * - * @param[in] x Fixed point operand - * - * @return Hyperbolic tangent of the operand - */ - template <typename T> - static fixed_point<T> tanh(fixed_point<T> x) - { - uint8_t p = x.precision(); - // Constants - auto const_one = fixed_point<T>(1, p); - auto const_two = fixed_point<T>(2, p); - - auto exp2x = exp(const_two * x); - auto num = exp2x - const_one; - auto den = exp2x + const_one; - auto tanh = num / den; - - return tanh; - } - /** Calculate the a-th power of a fixed point number. - * - * The power is computed as x^a = e^(log(x) * a) - * - * @param[in] x Fixed point operand - * @param[in] a Fixed point exponent - * - * @return a-th power of the operand - */ - template <typename T> - static fixed_point<T> pow(fixed_point<T> x, fixed_point<T> a) - { - return exp(log(x) * a); - } -}; - -template <typename T> -bool operator==(const fixed_point<T> &lhs, const fixed_point<T> &rhs) -{ - return functions::isequal(lhs, rhs); -} -template <typename T> -bool operator!=(const fixed_point<T> &lhs, const fixed_point<T> &rhs) -{ - return !operator==(lhs, rhs); -} -template <typename T> -bool operator<(const fixed_point<T> &lhs, const fixed_point<T> &rhs) -{ - return functions::isless(lhs, rhs); -} -template <typename T> -bool operator>(const fixed_point<T> &lhs, const fixed_point<T> &rhs) -{ - return operator<(rhs, lhs); -} -template <typename T> -bool operator<=(const fixed_point<T> &lhs, const fixed_point<T> &rhs) -{ - return !operator>(lhs, rhs); -} -template <typename T> -bool operator>=(const fixed_point<T> &lhs, const fixed_point<T> &rhs) -{ - return !operator<(lhs, rhs); -} -template <typename T> -fixed_point<T> operator+(const fixed_point<T> &lhs, const fixed_point<T> &rhs) -{ - return functions::add(lhs, rhs); -} -template <typename T> -fixed_point<T> operator-(const fixed_point<T> &lhs, const fixed_point<T> &rhs) -{ - return functions::sub(lhs, rhs); -} -template <typename T> -fixed_point<T> operator-(const fixed_point<T> &rhs) -{ - return functions::negate(rhs); -} -template <typename T> -fixed_point<T> operator*(fixed_point<T> x, fixed_point<T> y) -{ - return functions::mul(x, y); -} -template <typename T> -fixed_point<T> operator/(fixed_point<T> x, fixed_point<T> y) -{ - return functions::div(x, y); -} -template <typename T> -fixed_point<T> operator>>(fixed_point<T> x, size_t shift) -{ - return functions::shift_right(x, shift); -} -template <typename T> -fixed_point<T> operator<<(fixed_point<T> x, size_t shift) -{ - return functions::shift_left(x, shift); -} -template <typename T, typename U, typename traits> -std::basic_ostream<T, traits> &operator<<(std::basic_ostream<T, traits> &s, fixed_point<U> x) -{ - return functions::write(s, x); -} -template <typename T> -inline fixed_point<T> min(fixed_point<T> x, fixed_point<T> y) -{ - return x > y ? y : x; -} -template <typename T> -inline fixed_point<T> max(fixed_point<T> x, fixed_point<T> y) -{ - return x > y ? x : y; -} -template <OverflowPolicy OP = OverflowPolicy::SATURATE, typename T> -inline fixed_point<T> add(fixed_point<T> x, fixed_point<T> y) -{ - return functions::add<OP>(x, y); -} -template <OverflowPolicy OP = OverflowPolicy::SATURATE, typename T> -inline fixed_point<T> sub(fixed_point<T> x, fixed_point<T> y) -{ - return functions::sub<OP>(x, y); -} -template <OverflowPolicy OP = OverflowPolicy::SATURATE, typename T> -inline fixed_point<T> mul(fixed_point<T> x, fixed_point<T> y) -{ - return functions::mul<OP>(x, y); -} -template <typename T> -inline fixed_point<T> div(fixed_point<T> x, fixed_point<T> y) -{ - return functions::div(x, y); -} -template <typename T> -inline fixed_point<T> abs(fixed_point<T> x) -{ - return functions::abs(x); -} -template <typename T> -inline fixed_point<T> clamp(fixed_point<T> x, T min, T max) -{ - return functions::clamp(x, min, max); -} -template <typename T> -inline fixed_point<T> exp(fixed_point<T> x) -{ - return functions::exp(x); -} -template <typename T> -inline fixed_point<T> log(fixed_point<T> x) -{ - return functions::log(x); -} -template <typename T> -inline fixed_point<T> inv_sqrt(fixed_point<T> x) -{ - return functions::inv_sqrt(x); -} -template <typename T> -inline fixed_point<T> tanh(fixed_point<T> x) -{ - return functions::tanh(x); -} -template <typename T> -inline fixed_point<T> pow(fixed_point<T> x, fixed_point<T> a) -{ - return functions::pow(x, a); -} -} // namespace detail - -// Expose operators -using detail::operator==; -using detail::operator!=; -using detail::operator<; -using detail::operator>; -using detail::operator<=; -using detail::operator>=; -using detail::operator+; -using detail::operator-; -using detail::operator*; -using detail::operator/; -using detail::operator>>; -using detail::operator<<; - -// Expose additional functions -using detail::min; -using detail::max; -using detail::add; -using detail::sub; -using detail::mul; -using detail::div; -using detail::abs; -using detail::clamp; -using detail::exp; -using detail::log; -using detail::inv_sqrt; -using detail::tanh; -using detail::pow; -// TODO: floor -// TODO: ceil -// TODO: sqrt -} // namespace fixed_point_arithmetic -} // namespace test -} // namespace arm_compute -#endif /*__ARM_COMPUTE_TEST_VALIDATION_FIXEDPOINT_H__ */ |