The original township of Allen was laid out according to the Houston and Texas Central Railroad (H&TC), constructed in 1872. In 1918, the H&TC built a combination freight/passenger depot in the Allen Central Business District. The first train robbery in Texas took place in Allen on February 22, 1878, when Sam Bass and his associates pillaged the train. Today's Allen Heritage Center and Museum is a replica of that original depot. It is the home of the Allen Heritage Guild whose mission is to ensure tomorrow's heritage by recording past and current milestones for the city. The City of Allen incorporated in 1953 and has experienced many growth spurts over the last 60 years bringing the population from as low as 400 to its current inhabitants of close to 86,000.
Today, there are so many reasons to love Allen. You can shop at the Allen Premium Outlets, catch a concert or sporting event at the Allen Event Center, shop or eat at Watters Creek, have the kids splash around at Celebration Park or visit Top Golf for a fun day with friends and family.
The following are some of Allen's most notable residents!
BURTON GILLIAM- Best known for his role in "Blazing Saddles," Gilliam retired to Allen in 2001. He has appeared in more than 80 films and television shows and occasionally works with Allen City Television.
CARLY PATTERSON-The 2004 Olympic all-around champion and a member of the USA Gymnastics Hall of Fame, Patterson moved to Allen while still training for the Olympics. Allen hosted a citywide parade in her honor after she won the gold medal. Now an aspiring singer, she has performed at various events within and around Allen.
AMANDA DUNBAR-One of the most internationally known young artists of today, Dunbar moved to Allen with her family when she was only 12. Dunbar was the youngest woman to be honored with induction into the Texas Woman's Hall of Fame. Dunbar painted Allen's "Old Stone Dam," which can be viewed in the Allen City Hall rotunda.
This entry was posted in Dallas History, DFW Arts and Entertainment, Donations/Charities, Great Schools 10, LOPEZ Group, Luxury Portfolio, Multi Generational, Murphy, Murphy Best Place to Live, New Listing!, NorthHill, Real Estate Open House, Real Estate Trends, Relocating to Dallas, School, Shcool rating 10, The Gables, Uncategorized, Weekend Plans, Wylie ISD and tagged 3 bedroom, 5 bedroom, Addison, Allen, Allen ISD, Allen Texas, Amazon, bedroom community, best realtor, best realtor in dallas, best schools, blue cross blue shield, carrollton, collin county, community activities, Corinth, dallas metro, dallas relocation, dallas trends, denton, Farmers Branch, Garland, Grand Prairie, great schools, Irving, Kaboom town, Kaboomtown, lake dallas, lake dallas ISD, Lake Ray Hubbard, nebraska furniture mart, north dallas, relocating to dallas, Richardson ISD, Rockwall, Rowlett, samsung, state farm, toyota, White Rock Lake. Bookmark the permalink.


text:
Catégorie: Financer
dans Financer
— Avril 17, 2018
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Jeanswest collapses, 988 staff and 146 stores at risk1/17/2020
La nouvelle offre de Capgemini sur Altran est définitive, selon Hermelin — Capgemini1/17/2020
Orchestra - Prémaman : 34 magasins ferment en Belgique1/17/2020
China's economic growth hits three-decade low1/17/2020
Bose Will Close All Retail Stores in America1/17/2020
Passenger flight forced back to Newark Airport due to mechanical issue1/17/2020
Genesis' first SUV GV80 launched, threatens likes of Benz, BMW1/17/2020
Google parent company Alphabet hits $1 trillion valuation1/17/2020

redpajama_set_name: RedPajamaCommonCrawl


10.0281 Now we observe a crucial moment in quite a long and complex process, the emergence of a new Science which aids us in making a great evolutional jump to Levels of a much higher Consciousness. This higher Consciousness is universal to all humankind which has "grown up" already and which decisively enters into a new phase of its Cosmic Development.
10.0282 In fact, we become witnesses to the practical realization of the process of Evolution in action — the obvious transition of Forms inside the Collective Intelligence of humankind from one biological species to another. An important step will be taken in this Direction when science revises the outdated principle of adhering only to analytically impartial objectivity when studying Nature and its Laws, and acknowledges other methods of cognition of the Truth, including intuitive ones.
10.0283 This step, beyond any doubt, will help considerably accelerate and simplify deeper understanding (of scientists of various fields) of the functioning Principles of the true model of Creation, of new and fundamental discoveries and visionary revelations in science, penetrating into the highly complex Levels of human Consciousness.
10.0284 This step is also necessary because, taking into account the highest intensive dynamics (that defies not only our influence but even the boldest and greatest imagination) of the incessantly changing conditions of internal transformations of the Universe, it is just absurd for us to talk any longer about "objectivity or subjectivity" in regard to any Forms of Its creative manifestation. Moreover there are other spheres of Knowledge previously unacknowledged by us that are the domain of psychics, extrasensory perception and spiritual "studies".
10.0285 Humankind now closely approaches that invisible border of its Existence beyond which is the end of forced confinement in the "roughly-sensitive" physiological bodies of our creative manifestation. Crossing it, We access the open Cosmos and much more dynamic and harmonious Life than we can imagine.
10.0286 As our complete dependence on the physical-biological conditions of Life finally comes to an end, we will enjoy a decisive victory over "Death" and set out on the beginning of a completely unimaginable and amazing stage of our further Spiritual Path. This Path makes possible focusing in projections with more universal wave Configurations of Self-Consciousness as well as a more active participation in general planetary processes typical of the Collective Intelligence of our Star Entity.
10.0287 The replacement of the biological "capsules" which We currently focus by "virtual" ones is just another natural inertial process in our endless Evolution. This stage is far from bringing us at least slightly closer to the achievement of the Goal before us: the Spiritual Path (which is initially destined for all Forms) leads all of us deeper and deeper into Infinity, into the very Essence of Our universal Source.
10.0288 It is quite possible that the universal Knowledge of Iissiidiology will help today's brave and brilliant minds reach new objectives of deeper learning and an understanding of the structure of the Universe, and will facilitate the birth, in "the very near future", of a new (all-encompassing) "theory of the singular organization of the Universe".
10.0289 So, don't be afraid to try to understand the complex information contained here because you may become the "material" encourager and initiator of another restructuring of the Collective Consciousness of humankind, whose scientific and spiritual creativity will inspire billions of people to conscious intensive refocusings into new — still higher quality — Formo-systems of Creation!
10.0290 After all, the only essential difference between a genius and an ordinary "human being" is that the mind of the genius is not covered with the crust of established dogmas and taboos. The mind of a genius is completely open to any intellectual process which allows to positively perceive and contemplate inside truly daring, incredible Thoughts unlimited by any the confines so common to the timid and preconceived mind of the ordinary "person".
10.0291 On the other hand, the genius (even if he is considered a complete dilettante in the scientific and other fields) doesn't have any "material" limitations in his infinitely open, intuitive thinking. In his irrepressible attempts to get to the Truth, to understand and explain the Meaning of Everything, he is not afraid to put together something "incompatible, absurd and unlikely" which may be repudiated and negated by others.
10.0292 Step out from the limits of routine discrete thinking and become geniuses so that you can begin to access truly boundless Worlds in your Self-Consciousness! To put it more simply, those of you who manage, on the basis of the Information given in Iissiidiology, to reconsider definitions of all the laws of natural science, psychology, genetics and other applied sciences that seemed unshakable and invariable to all of us before, will open, discover and recognize their own genius!
10.0293 When you have Knowledge of such an infinite Level as contained in Iissiidiology, there can be nothing in your outer reality that could be fearsome to you, because you will be absolutely sure that there is not and cannot be anything in your eternal Existence that can threaten, enslave or intimidate you in any way.
10.0294 Any kind of fear is nothing when you have this Knowledge which, in spite of your own will, desire and logic, step by step reliably draws you out of the swamp of the millennia-long shackles of limited Life into infinite Existence unlimited by anything. This Knowledge allows you to become internally aware of the inseparable unity with All that eternally coexists in Creation, and day by day develops your ability to accept even greater Knowledge which I have already prepared for your more matured Perception ready for a constructive dialogue.
10.0295 Once you know Everything That Is, you will completely refocus into It and will become the boundless and universal internal Knowledge of the Creator of EVERYTHING — infinite Life, unlimited Freedom of Thought and the unconditional Joy of a conscious creative Existence which can never become "non-existence" ("Death") insulted by your ignorance.
10.0296 What you know is what you become! And if you want to become the very image of Creative Immortality and live immortal Life infinitely, unlimited by anything or anybody, you must learn how to fully experience every moment consciously created by you.
10.0297 Fearlessly rid yourself of knowledge and ideals which threaten, infringe and narrowly limit the infinite Freedom of your Life! Look directly into the eyes of all your fears and doubts and all your uncertainties and outdated dogmas, and recognize their illusion.
10.0298 You must comprehend that you are eternal and that in the part of Existence yet unknown to you there is nothing that can prevent you from the possibility of living always in Happiness, Love and Joy. And let God, Who temporarily sleeps in you, grant you greater Intuition and the Force of Spirit on this difficult Path!


text:
require 'hotels_pro/api/elements/pax_array'
require 'hotels_pro/api/elements/policy'

module HotelsPro
  module Api
    module Elements
      class BookInfo
        include Virtus.model

        attribute :booking_status, Integer
        attribute :confirmation_number, String
        attribute :supplier, String
        attribute :hotel_code, String
        attribute :check_in, Date
        attribute :check_out, Date
        attribute :total_price, Float
        attribute :total_sale_price, Float
        attribute :currency, String
        attribute :board_type, String
        attribute :rooms, Array[HotelsPro::Api::Elements::PaxArray], :default => []
        attribute :cancellation_policy, Array[HotelsPro::Api::Elements::Policy], :default => []
        attribute :agency_reference_number, String
        attribute :comments, String
      end
    end
  end
end

redpajama_set_name: RedPajamaGithub


text:
// Copyright 2019 The libgav1 Authors
//
// Licensed under the Apache License, Version 2.0 (the "License");
// you may not use this file except in compliance with the License.
// You may obtain a copy of the License at
//
//      http://www.apache.org/licenses/LICENSE-2.0
//
// Unless required by applicable law or agreed to in writing, software
// distributed under the License is distributed on an "AS IS" BASIS,
// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
// See the License for the specific language governing permissions and
// limitations under the License.

#include "src/dsp/inverse_transform.h"

#include <algorithm>
#include <cassert>
#include <cstdint>
#include <cstring>

#include "src/dsp/dsp.h"
#include "src/utils/array_2d.h"
#include "src/utils/common.h"
#include "src/utils/compiler_attributes.h"
#include "src/utils/logging.h"

namespace libgav1 {
namespace dsp {
namespace {

// Include the constants and utility functions inside the anonymous namespace.
#include "src/dsp/inverse_transform.inc"

constexpr uint8_t kTransformColumnShift = 4;

int32_t RangeCheckValue(int32_t value, int8_t range) {
#if defined(LIBGAV1_ENABLE_TRANSFORM_RANGE_CHECK) && \
    LIBGAV1_ENABLE_TRANSFORM_RANGE_CHECK
  assert(range <= 32);
  const int32_t min = -(1 << (range - 1));
  const int32_t max = (1 << (range - 1)) - 1;
  if (min > value || value > max) {
    LIBGAV1_DLOG(ERROR, "coeff out of bit range, value: %d bit range %d\n",
                 value, range);
    assert(min <= value && value <= max);
  }
#endif  // LIBGAV1_ENABLE_TRANSFORM_RANGE_CHECK
  static_cast<void>(range);
  return value;
}

template <typename Residual>
LIBGAV1_ALWAYS_INLINE void ButterflyRotation_C(Residual* const dst, int a,
                                               int b, int angle, bool flip,
                                               int8_t range) {
  // Note that we multiply in 32 bits and then add/subtract the products in 64
  // bits. The 32-bit multiplications do not overflow. Please see the comment
  // and assert() in Cos128().
  const int64_t x = static_cast<int64_t>(dst[a] * Cos128(angle)) -
                    static_cast<int64_t>(dst[b] * Sin128(angle));
  const int64_t y = static_cast<int64_t>(dst[a] * Sin128(angle)) +
                    static_cast<int64_t>(dst[b] * Cos128(angle));
  // Section 7.13.2.1: It is a requirement of bitstream conformance that the
  // values saved into the array T by this function are representable by a
  // signed integer using |range| bits of precision.
  dst[a] = RangeCheckValue(RightShiftWithRounding(flip ? y : x, 12), range);
  dst[b] = RangeCheckValue(RightShiftWithRounding(flip ? x : y, 12), range);
}

template <typename Residual>
void ButterflyRotationFirstIsZero_C(Residual* const dst, int a, int b,
                                    int angle, bool flip, int8_t range) {
  // Note that we multiply in 32 bits and then add/subtract the products in 64
  // bits. The 32-bit multiplications do not overflow. Please see the comment
  // and assert() in Cos128().
  const auto x = static_cast<int64_t>(dst[b] * -Sin128(angle));
  const auto y = static_cast<int64_t>(dst[b] * Cos128(angle));
  // Section 7.13.2.1: It is a requirement of bitstream conformance that the
  // values saved into the array T by this function are representable by a
  // signed integer using |range| bits of precision.
  dst[a] = RangeCheckValue(RightShiftWithRounding(flip ? y : x, 12), range);
  dst[b] = RangeCheckValue(RightShiftWithRounding(flip ? x : y, 12), range);
}

template <typename Residual>
void ButterflyRotationSecondIsZero_C(Residual* const dst, int a, int b,
                                     int angle, bool flip, int8_t range) {
  // Note that we multiply in 32 bits and then add/subtract the products in 64
  // bits. The 32-bit multiplications do not overflow. Please see the comment
  // and assert() in Cos128().
  const auto x = static_cast<int64_t>(dst[a] * Cos128(angle));
  const auto y = static_cast<int64_t>(dst[a] * Sin128(angle));

  // Section 7.13.2.1: It is a requirement of bitstream conformance that the
  // values saved into the array T by this function are representable by a
  // signed integer using |range| bits of precision.
  dst[a] = RangeCheckValue(RightShiftWithRounding(flip ? y : x, 12), range);
  dst[b] = RangeCheckValue(RightShiftWithRounding(flip ? x : y, 12), range);
}

template <typename Residual>
void HadamardRotation_C(Residual* const dst, int a, int b, bool flip,
                        int8_t range) {
  if (flip) std::swap(a, b);
  --range;
  // For Adst and Dct, the maximum possible value for range is 20. So min and
  // max should always fit into int32_t.
  const int32_t min = -(1 << range);
  const int32_t max = (1 << range) - 1;
  const int32_t x = dst[a] + dst[b];
  const int32_t y = dst[a] - dst[b];
  dst[a] = Clip3(x, min, max);
  dst[b] = Clip3(y, min, max);
}

template <int bitdepth, typename Residual>
void ClampIntermediate(Residual* const dst, int size) {
  // If Residual is int16_t (which implies bitdepth is 8), we don't need to
  // clip residual[i][j] to 16 bits.
  if (sizeof(Residual) > 2) {
    const Residual intermediate_clamp_max =
        (1 << (std::max(bitdepth + 6, 16) - 1)) - 1;
    const Residual intermediate_clamp_min = -intermediate_clamp_max - 1;
    for (int j = 0; j < size; ++j) {
      dst[j] = Clip3(dst[j], intermediate_clamp_min, intermediate_clamp_max);
    }
  }
}

//------------------------------------------------------------------------------
// Discrete Cosine Transforms (DCT).

// Value for index (i, j) is computed as bitreverse(j) and interpreting that as
// an integer with bit-length i + 2.
// For e.g. index (2, 3) will be computed as follows:
//   * bitreverse(3) = bitreverse(..000011) = 110000...
//   * interpreting that as an integer with bit-length 2+2 = 4 will be 1100 = 12
constexpr uint8_t kBitReverseLookup[kNum1DTransformSizes][64] = {
    {0, 2, 1, 3, 0, 2, 1, 3, 0, 2, 1, 3, 0, 2, 1, 3, 0, 2, 1, 3, 0, 2,
     1, 3, 0, 2, 1, 3, 0, 2, 1, 3, 0, 2, 1, 3, 0, 2, 1, 3, 0, 2, 1, 3,
     0, 2, 1, 3, 0, 2, 1, 3, 0, 2, 1, 3, 0, 2, 1, 3, 0, 2, 1, 3},
    {0, 4, 2, 6, 1, 5, 3, 7, 0, 4, 2, 6, 1, 5, 3, 7, 0, 4, 2, 6, 1, 5,
     3, 7, 0, 4, 2, 6, 1, 5, 3, 7, 0, 4, 2, 6, 1, 5, 3, 7, 0, 4, 2, 6,
     1, 5, 3, 7, 0, 4, 2, 6, 1, 5, 3, 7, 0, 4, 2, 6, 1, 5, 3, 7},
    {0, 8, 4, 12, 2, 10, 6, 14, 1, 9, 5, 13, 3, 11, 7, 15,
     0, 8, 4, 12, 2, 10, 6, 14, 1, 9, 5, 13, 3, 11, 7, 15,
     0, 8, 4, 12, 2, 10, 6, 14, 1, 9, 5, 13, 3, 11, 7, 15,
     0, 8, 4, 12, 2, 10, 6, 14, 1, 9, 5, 13, 3, 11, 7, 15},
    {0, 16, 8, 24, 4, 20, 12, 28, 2, 18, 10, 26, 6, 22, 14, 30,
     1, 17, 9, 25, 5, 21, 13, 29, 3, 19, 11, 27, 7, 23, 15, 31,
     0, 16, 8, 24, 4, 20, 12, 28, 2, 18, 10, 26, 6, 22, 14, 30,
     1, 17, 9, 25, 5, 21, 13, 29, 3, 19, 11, 27, 7, 23, 15, 31},
    {0, 32, 16, 48, 8,  40, 24, 56, 4, 36, 20, 52, 12, 44, 28, 60,
     2, 34, 18, 50, 10, 42, 26, 58, 6, 38, 22, 54, 14, 46, 30, 62,
     1, 33, 17, 49, 9,  41, 25, 57, 5, 37, 21, 53, 13, 45, 29, 61,
     3, 35, 19, 51, 11, 43, 27, 59, 7, 39, 23, 55, 15, 47, 31, 63}};

template <typename Residual, int size_log2>
void Dct_C(void* dest, const void* source, int8_t range) {
  static_assert(size_log2 >= 2 && size_log2 <= 6, "");
  auto* const dst = static_cast<Residual*>(dest);
  const auto* const src = static_cast<const Residual*>(source);
  // stage 1.
  const int size = 1 << size_log2;
  // The copy is necessary because |dst| and |src| could be pointing to the same
  // buffer.
  Residual temp[size];
  memcpy(temp, src, sizeof(temp));
  for (int i = 0; i < size; ++i) {
    dst[i] = temp[kBitReverseLookup[size_log2 - 2][i]];
  }
  // stages 2-32 are dependent on the value of size_log2.
  // stage 2.
  if (size_log2 == 6) {
    for (int i = 0; i < 16; ++i) {
      ButterflyRotation_C(dst, i + 32, 63 - i,
                          63 - MultiplyBy4(kBitReverseLookup[2][i]), false,
                          range);
    }
  }
  // stage 3
  if (size_log2 >= 5) {
    for (int i = 0; i < 8; ++i) {
      ButterflyRotation_C(dst, i + 16, 31 - i,
                          6 + MultiplyBy8(kBitReverseLookup[1][7 - i]), false,
                          range);
    }
  }
  // stage 4.
  if (size_log2 == 6) {
    for (int i = 0; i < 16; ++i) {
      HadamardRotation_C(dst, MultiplyBy2(i) + 32, MultiplyBy2(i) + 33,
                         static_cast<bool>(i & 1), range);
    }
  }
  // stage 5.
  if (size_log2 >= 4) {
    for (int i = 0; i < 4; ++i) {
      ButterflyRotation_C(dst, i + 8, 15 - i,
                          12 + MultiplyBy16(kBitReverseLookup[0][3 - i]), false,
                          range);
    }
  }
  // stage 6.
  if (size_log2 >= 5) {
    for (int i = 0; i < 8; ++i) {
      HadamardRotation_C(dst, MultiplyBy2(i) + 16, MultiplyBy2(i) + 17,
                         static_cast<bool>(i & 1), range);
    }
  }
  // stage 7.
  if (size_log2 == 6) {
    for (int i = 0; i < 4; ++i) {
      for (int j = 0; j < 2; ++j) {
        ButterflyRotation_C(
            dst, 62 - MultiplyBy4(i) - j, MultiplyBy4(i) + j + 33,
            60 - MultiplyBy16(kBitReverseLookup[0][i]) + MultiplyBy64(j), true,
            range);
      }
    }
  }
  // stage 8.
  if (size_log2 >= 3) {
    for (int i = 0; i < 2; ++i) {
      ButterflyRotation_C(dst, i + 4, 7 - i, 56 - 32 * i, false, range);
    }
  }
  // stage 9.
  if (size_log2 >= 4) {
    for (int i = 0; i < 4; ++i) {
      HadamardRotation_C(dst, MultiplyBy2(i) + 8, MultiplyBy2(i) + 9,
                         static_cast<bool>(i & 1), range);
    }
  }
  // stage 10.
  if (size_log2 >= 5) {
    for (int i = 0; i < 2; ++i) {
      for (int j = 0; j < 2; ++j) {
        ButterflyRotation_C(
            dst, 30 - MultiplyBy4(i) - j, MultiplyBy4(i) + j + 17,
            24 + MultiplyBy64(j) + MultiplyBy32(1 - i), true, range);
      }
    }
  }
  // stage 11.
  if (size_log2 == 6) {
    for (int i = 0; i < 8; ++i) {
      for (int j = 0; j < 2; ++j) {
        HadamardRotation_C(dst, MultiplyBy4(i) + j + 32,
                           MultiplyBy4(i) - j + 35, static_cast<bool>(i & 1),
                           range);
      }
    }
  }
  // stage 12.
  for (int i = 0; i < 2; ++i) {
    ButterflyRotation_C(dst, MultiplyBy2(i), MultiplyBy2(i) + 1, 32 + 16 * i,
                        i == 0, range);
  }
  // stage 13.
  if (size_log2 >= 3) {
    for (int i = 0; i < 2; ++i) {
      HadamardRotation_C(dst, MultiplyBy2(i) + 4, MultiplyBy2(i) + 5,
                         static_cast<bool>(i), range);
    }
  }
  // stage 14.
  if (size_log2 >= 4) {
    for (int i = 0; i < 2; ++i) {
      ButterflyRotation_C(dst, 14 - i, i + 9, 48 + 64 * i, true, range);
    }
  }
  // stage 15.
  if (size_log2 >= 5) {
    for (int i = 0; i < 4; ++i) {
      for (int j = 0; j < 2; ++j) {
        HadamardRotation_C(dst, MultiplyBy4(i) + j + 16,
                           MultiplyBy4(i) - j + 19, static_cast<bool>(i & 1),
                           range);
      }
    }
  }
  // stage 16.
  if (size_log2 == 6) {
    for (int i = 0; i < 2; ++i) {
      for (int j = 0; j < 4; ++j) {
        ButterflyRotation_C(
            dst, 61 - MultiplyBy8(i) - j, MultiplyBy8(i) + j + 34,
            56 - MultiplyBy32(i) + MultiplyBy64(DivideBy2(j)), true, range);
      }
    }
  }
  // stage 17.
  for (int i = 0; i < 2; ++i) {
    HadamardRotation_C(dst, i, 3 - i, false, range);
  }
  // stage 18.
  if (size_log2 >= 3) {
    ButterflyRotation_C(dst, 6, 5, 32, true, range);
  }
  // stage 19.
  if (size_log2 >= 4) {
    for (int i = 0; i < 2; ++i) {
      for (int j = 0; j < 2; ++j) {
        HadamardRotation_C(dst, MultiplyBy4(i) + j + 8, MultiplyBy4(i) - j + 11,
                           static_cast<bool>(i), range);
      }
    }
  }
  // stage 20.
  if (size_log2 >= 5) {
    for (int i = 0; i < 4; ++i) {
      ButterflyRotation_C(dst, 29 - i, i + 18, 48 + 64 * DivideBy2(i), true,
                          range);
    }
  }
  // stage 21.
  if (size_log2 == 6) {
    for (int i = 0; i < 4; ++i) {
      for (int j = 0; j < 4; ++j) {
        HadamardRotation_C(dst, MultiplyBy8(i) + j + 32,
                           MultiplyBy8(i) - j + 39, static_cast<bool>(i & 1),
                           range);
      }
    }
  }
  // stage 22.
  if (size_log2 >= 3) {
    for (int i = 0; i < 4; ++i) {
      HadamardRotation_C(dst, i, 7 - i, false, range);
    }
  }
  // stage 23.
  if (size_log2 >= 4) {
    for (int i = 0; i < 2; ++i) {
      ButterflyRotation_C(dst, 13 - i, i + 10, 32, true, range);
    }
  }
  // stage 24.
  if (size_log2 >= 5) {
    for (int i = 0; i < 2; ++i) {
      for (int j = 0; j < 4; ++j) {
        HadamardRotation_C(dst, MultiplyBy8(i) + j + 16,
                           MultiplyBy8(i) - j + 23, i == 1, range);
      }
    }
  }
  // stage 25.
  if (size_log2 == 6) {
    for (int i = 0; i < 8; ++i) {
      ButterflyRotation_C(dst, 59 - i, i + 36, (i < 4) ? 48 : 112, true, range);
    }
  }
  // stage 26.
  if (size_log2 >= 4) {
    for (int i = 0; i < 8; ++i) {
      HadamardRotation_C(dst, i, 15 - i, false, range);
    }
  }
  // stage 27.
  if (size_log2 >= 5) {
    for (int i = 0; i < 4; ++i) {
      ButterflyRotation_C(dst, 27 - i, i + 20, 32, true, range);
    }
  }
  // stage 28.
  if (size_log2 == 6) {
    for (int i = 0; i < 8; ++i) {
      HadamardRotation_C(dst, i + 32, 47 - i, false, range);
      HadamardRotation_C(dst, i + 48, 63 - i, true, range);
    }
  }
  // stage 29.
  if (size_log2 >= 5) {
    for (int i = 0; i < 16; ++i) {
      HadamardRotation_C(dst, i, 31 - i, false, range);
    }
  }
  // stage 30.
  if (size_log2 == 6) {
    for (int i = 0; i < 8; ++i) {
      ButterflyRotation_C(dst, 55 - i, i + 40, 32, true, range);
    }
  }
  // stage 31.
  if (size_log2 == 6) {
    for (int i = 0; i < 32; ++i) {
      HadamardRotation_C(dst, i, 63 - i, false, range);
    }
  }
}

template <int bitdepth, typename Residual, int size_log2>
void DctDcOnly_C(void* dest, const void* source, int8_t range,
                 bool should_round, int row_shift, bool is_row) {
  auto* const dst = static_cast<Residual*>(dest);
  const auto* const src = static_cast<const Residual*>(source);

  dst[0] = src[0];
  if (is_row && should_round) {
    dst[0] = RightShiftWithRounding(dst[0] * kTransformRowMultiplier, 12);
  }

  ButterflyRotationSecondIsZero_C(dst, 0, 1, 32, true, range);

  if (is_row && row_shift > 0) {
    dst[0] = RightShiftWithRounding(dst[0], row_shift);
  }

  ClampIntermediate<bitdepth, Residual>(dst, 1);

  const int size = 1 << size_log2;
  for (int i = 1; i < size; ++i) {
    dst[i] = dst[0];
  }
}

//------------------------------------------------------------------------------
// Asymmetric Discrete Sine Transforms (ADST).

/*
 * Row transform max range in bits for bitdepths 8/10/12: 28/30/32.
 * Column transform max range in bits for bitdepths 8/10/12: 28/28/30.
 */
template <typename Residual>
void Adst4_C(void* dest, const void* source, int8_t range) {
  auto* const dst = static_cast<Residual*>(dest);
  const auto* const src = static_cast<const Residual*>(source);
  if ((src[0] | src[1] | src[2] | src[3]) == 0) {
    memset(dst, 0, 4 * sizeof(dst[0]));
    return;
  }

  // stage 1.
  // Section 7.13.2.6: It is a requirement of bitstream conformance that all
  // values stored in the s and x arrays by this process are representable by
  // a signed integer using range + 12 bits of precision.
  int32_t s[7];
  s[0] = RangeCheckValue(kAdst4Multiplier[0] * src[0], range + 12);
  s[1] = RangeCheckValue(kAdst4Multiplier[1] * src[0], range + 12);
  s[2] = RangeCheckValue(kAdst4Multiplier[2] * src[1], range + 12);
  s[3] = RangeCheckValue(kAdst4Multiplier[3] * src[2], range + 12);
  s[4] = RangeCheckValue(kAdst4Multiplier[0] * src[2], range + 12);
  s[5] = RangeCheckValue(kAdst4Multiplier[1] * src[3], range + 12);
  s[6] = RangeCheckValue(kAdst4Multiplier[3] * src[3], range + 12);
  // stage 2.
  // Section 7.13.2.6: It is a requirement of bitstream conformance that
  // values stored in the variable a7 by this process are representable by a
  // signed integer using range + 1 bits of precision.
  const int32_t a7 = RangeCheckValue(src[0] - src[2], range + 1);
  // Section 7.13.2.6: It is a requirement of bitstream conformance that
  // values stored in the variable b7 by this process are representable by a
  // signed integer using |range| bits of precision.
  const int32_t b7 = RangeCheckValue(a7 + src[3], range);
  // stage 3.
  s[0] = RangeCheckValue(s[0] + s[3], range + 12);
  s[1] = RangeCheckValue(s[1] - s[4], range + 12);
  s[3] = s[2];
  s[2] = RangeCheckValue(kAdst4Multiplier[2] * b7, range + 12);
  // stage 4.
  s[0] = RangeCheckValue(s[0] + s[5], range + 12);
  s[1] = RangeCheckValue(s[1] - s[6], range + 12);
  // stages 5 and 6.
  const int32_t x0 = RangeCheckValue(s[0] + s[3], range + 12);
  const int32_t x1 = RangeCheckValue(s[1] + s[3], range + 12);
  int32_t x3 = RangeCheckValue(s[0] + s[1], range + 12);
  x3 = RangeCheckValue(x3 - s[3], range + 12);
  int32_t dst_0 = RightShiftWithRounding(x0, 12);
  int32_t dst_1 = RightShiftWithRounding(x1, 12);
  int32_t dst_2 = RightShiftWithRounding(s[2], 12);
  int32_t dst_3 = RightShiftWithRounding(x3, 12);
  if (sizeof(Residual) == 2) {
    // If the first argument to RightShiftWithRounding(..., 12) is only
    // slightly smaller than 2^27 - 1 (e.g., 0x7fffe4e), adding 2^11 to it
    // in RightShiftWithRounding(..., 12) will cause the function to return
    // 0x8000, which cannot be represented as an int16_t. Change it to 0x7fff.
    dst_0 -= (dst_0 == 0x8000);
    dst_1 -= (dst_1 == 0x8000);
    dst_3 -= (dst_3 == 0x8000);
  }
  dst[0] = dst_0;
  dst[1] = dst_1;
  dst[2] = dst_2;
  dst[3] = dst_3;
}

template <int bitdepth, typename Residual>
void Adst4DcOnly_C(void* dest, const void* source, int8_t range,
                   bool should_round, int row_shift, bool is_row) {
  auto* const dst = static_cast<Residual*>(dest);
  const auto* const src = static_cast<const Residual*>(source);

  dst[0] = src[0];
  if (is_row && should_round) {
    dst[0] = RightShiftWithRounding(src[0] * kTransformRowMultiplier, 12);
  }

  // stage 1.
  // Section 7.13.2.6: It is a requirement of bitstream conformance that all
  // values stored in the s and x arrays by this process are representable by
  // a signed integer using range + 12 bits of precision.
  int32_t s[3];
  s[0] = RangeCheckValue(kAdst4Multiplier[0] * dst[0], range + 12);
  s[1] = RangeCheckValue(kAdst4Multiplier[1] * dst[0], range + 12);
  s[2] = RangeCheckValue(kAdst4Multiplier[2] * dst[0], range + 12);
  // stage 3.
  // stage 4.
  // stages 5 and 6.
  int32_t dst_0 = RightShiftWithRounding(s[0], 12);
  int32_t dst_1 = RightShiftWithRounding(s[1], 12);
  int32_t dst_2 = RightShiftWithRounding(s[2], 12);
  int32_t dst_3 =
      RightShiftWithRounding(RangeCheckValue(s[0] + s[1], range + 12), 12);
  if (sizeof(Residual) == 2) {
    // If the first argument to RightShiftWithRounding(..., 12) is only
    // slightly smaller than 2^27 - 1 (e.g., 0x7fffe4e), adding 2^11 to it
    // in RightShiftWithRounding(..., 12) will cause the function to return
    // 0x8000, which cannot be represented as an int16_t. Change it to 0x7fff.
    dst_0 -= (dst_0 == 0x8000);
    dst_1 -= (dst_1 == 0x8000);
    dst_3 -= (dst_3 == 0x8000);
  }
  dst[0] = dst_0;
  dst[1] = dst_1;
  dst[2] = dst_2;
  dst[3] = dst_3;

  const int size = 4;
  if (is_row && row_shift > 0) {
    for (int j = 0; j < size; ++j) {
      dst[j] = RightShiftWithRounding(dst[j], row_shift);
    }
  }

  ClampIntermediate<bitdepth, Residual>(dst, 4);
}

template <typename Residual>
void AdstInputPermutation(int32_t* const dst, const Residual* const src,
                          int n) {
  assert(n == 8 || n == 16);
  for (int i = 0; i < n; ++i) {
    dst[i] = src[((i & 1) == 0) ? n - i - 1 : i - 1];
  }
}

constexpr int8_t kAdstOutputPermutationLookup[16] = {
    0, 8, 12, 4, 6, 14, 10, 2, 3, 11, 15, 7, 5, 13, 9, 1};

template <typename Residual>
void AdstOutputPermutation(Residual* const dst, const int32_t* const src,
                           int n) {
  assert(n == 8 || n == 16);
  const auto shift = static_cast<int8_t>(n == 8);
  for (int i = 0; i < n; ++i) {
    const int8_t index = kAdstOutputPermutationLookup[i] >> shift;
    int32_t dst_i = ((i & 1) == 0) ? src[index] : -src[index];
    if (sizeof(Residual) == 2) {
      // If i is odd and src[index] is -32768, dst_i will be 32768, which
      // cannot be represented as an int16_t.
      dst_i -= (dst_i == 0x8000);
    }
    dst[i] = dst_i;
  }
}

template <typename Residual>
void Adst8_C(void* dest, const void* source, int8_t range) {
  auto* const dst = static_cast<Residual*>(dest);
  const auto* const src = static_cast<const Residual*>(source);
  // stage 1.
  int32_t temp[8];
  AdstInputPermutation(temp, src, 8);
  // stage 2.
  for (int i = 0; i < 4; ++i) {
    ButterflyRotation_C(temp, MultiplyBy2(i), MultiplyBy2(i) + 1, 60 - 16 * i,
                        true, range);
  }
  // stage 3.
  for (int i = 0; i < 4; ++i) {
    HadamardRotation_C(temp, i, i + 4, false, range);
  }
  // stage 4.
  for (int i = 0; i < 2; ++i) {
    ButterflyRotation_C(temp, i * 3 + 4, i + 5, 48 - 32 * i, true, range);
  }
  // stage 5.
  for (int i = 0; i < 2; ++i) {
    for (int j = 0; j < 2; ++j) {
      HadamardRotation_C(temp, i + MultiplyBy4(j), i + MultiplyBy4(j) + 2,
                         false, range);
    }
  }
  // stage 6.
  for (int i = 0; i < 2; ++i) {
    ButterflyRotation_C(temp, MultiplyBy4(i) + 2, MultiplyBy4(i) + 3, 32, true,
                        range);
  }
  // stage 7.
  AdstOutputPermutation(dst, temp, 8);
}

template <int bitdepth, typename Residual>
void Adst8DcOnly_C(void* dest, const void* source, int8_t range,
                   bool should_round, int row_shift, bool is_row) {
  auto* const dst = static_cast<Residual*>(dest);
  const auto* const src = static_cast<const Residual*>(source);

  // stage 1.
  int32_t temp[8];
  // After the permutation, the dc value is in temp[1]. The remaining are zero.
  AdstInputPermutation(temp, src, 8);

  if (is_row && should_round) {
    temp[1] = RightShiftWithRounding(temp[1] * kTransformRowMultiplier, 12);
  }

  // stage 2.
  ButterflyRotationFirstIsZero_C(temp, 0, 1, 60, true, range);

  // stage 3.
  temp[4] = temp[0];
  temp[5] = temp[1];

  // stage 4.
  ButterflyRotation_C(temp, 4, 5, 48, true, range);

  // stage 5.
  temp[2] = temp[0];
  temp[3] = temp[1];
  temp[6] = temp[4];
  temp[7] = temp[5];

  // stage 6.
  ButterflyRotation_C(temp, 2, 3, 32, true, range);
  ButterflyRotation_C(temp, 6, 7, 32, true, range);

  // stage 7.
  AdstOutputPermutation(dst, temp, 8);

  const int size = 8;
  if (is_row && row_shift > 0) {
    for (int j = 0; j < size; ++j) {
      dst[j] = RightShiftWithRounding(dst[j], row_shift);
    }
  }

  ClampIntermediate<bitdepth, Residual>(dst, 8);
}

template <typename Residual>
void Adst16_C(void* dest, const void* source, int8_t range) {
  auto* const dst = static_cast<Residual*>(dest);
  const auto* const src = static_cast<const Residual*>(source);
  // stage 1.
  int32_t temp[16];
  AdstInputPermutation(temp, src, 16);
  // stage 2.
  for (int i = 0; i < 8; ++i) {
    ButterflyRotation_C(temp, MultiplyBy2(i), MultiplyBy2(i) + 1, 62 - 8 * i,
                        true, range);
  }
  // stage 3.
  for (int i = 0; i < 8; ++i) {
    HadamardRotation_C(temp, i, i + 8, false, range);
  }
  // stage 4.
  for (int i = 0; i < 2; ++i) {
    ButterflyRotation_C(temp, MultiplyBy2(i) + 8, MultiplyBy2(i) + 9,
                        56 - 32 * i, true, range);
    ButterflyRotation_C(temp, MultiplyBy2(i) + 13, MultiplyBy2(i) + 12,
                        8 + 32 * i, true, range);
  }
  // stage 5.
  for (int i = 0; i < 4; ++i) {
    for (int j = 0; j < 2; ++j) {
      HadamardRotation_C(temp, i + MultiplyBy8(j), i + MultiplyBy8(j) + 4,
                         false, range);
    }
  }
  // stage 6.
  for (int i = 0; i < 2; ++i) {
    for (int j = 0; j < 2; ++j) {
      ButterflyRotation_C(temp, i * 3 + MultiplyBy8(j) + 4,
                          i + MultiplyBy8(j) + 5, 48 - 32 * i, true, range);
    }
  }
  // stage 7.
  for (int i = 0; i < 2; ++i) {
    for (int j = 0; j < 4; ++j) {
      HadamardRotation_C(temp, i + MultiplyBy4(j), i + MultiplyBy4(j) + 2,
                         false, range);
    }
  }
  // stage 8.
  for (int i = 0; i < 4; ++i) {
    ButterflyRotation_C(temp, MultiplyBy4(i) + 2, MultiplyBy4(i) + 3, 32, true,
                        range);
  }
  // stage 9.
  AdstOutputPermutation(dst, temp, 16);
}

template <int bitdepth, typename Residual>
void Adst16DcOnly_C(void* dest, const void* source, int8_t range,
                    bool should_round, int row_shift, bool is_row) {
  auto* const dst = static_cast<Residual*>(dest);
  const auto* const src = static_cast<const Residual*>(source);

  // stage 1.
  int32_t temp[16];
  // After the permutation, the dc value is in temp[1].  The remaining are zero.
  AdstInputPermutation(temp, src, 16);

  if (is_row && should_round) {
    temp[1] = RightShiftWithRounding(temp[1] * kTransformRowMultiplier, 12);
  }

  // stage 2.
  ButterflyRotationFirstIsZero_C(temp, 0, 1, 62, true, range);

  // stage 3.
  temp[8] = temp[0];
  temp[9] = temp[1];

  // stage 4.
  ButterflyRotation_C(temp, 8, 9, 56, true, range);

  // stage 5.
  temp[4] = temp[0];
  temp[5] = temp[1];
  temp[12] = temp[8];
  temp[13] = temp[9];

  // stage 6.
  ButterflyRotation_C(temp, 4, 5, 48, true, range);
  ButterflyRotation_C(temp, 12, 13, 48, true, range);

  // stage 7.
  temp[2] = temp[0];
  temp[3] = temp[1];
  temp[10] = temp[8];
  temp[11] = temp[9];

  temp[6] = temp[4];
  temp[7] = temp[5];
  temp[14] = temp[12];
  temp[15] = temp[13];

  // stage 8.
  for (int i = 0; i < 4; ++i) {
    ButterflyRotation_C(temp, MultiplyBy4(i) + 2, MultiplyBy4(i) + 3, 32, true,
                        range);
  }

  // stage 9.
  AdstOutputPermutation(dst, temp, 16);

  const int size = 16;
  if (is_row && row_shift > 0) {
    for (int j = 0; j < size; ++j) {
      dst[j] = RightShiftWithRounding(dst[j], row_shift);
    }
  }

  ClampIntermediate<bitdepth, Residual>(dst, 16);
}

//------------------------------------------------------------------------------
// Identity Transforms.
//
// In the spec, the inverse identity transform is followed by a Round2() call:
//   The row transforms with i = 0..(h-1) are applied as follows:
//     ...
//     * Otherwise, invoke the inverse identity transform process specified in
//       section 7.13.2.15 with the input variable n equal to log2W.
//     * Set Residual[ i ][ j ] equal to Round2( T[ j ], rowShift )
//       for j = 0..(w-1).
//   ...
//   The column transforms with j = 0..(w-1) are applied as follows:
//     ...
//     * Otherwise, invoke the inverse identity transform process specified in
//       section 7.13.2.15 with the input variable n equal to log2H.
//     * Residual[ i ][ j ] is set equal to Round2( T[ i ], colShift )
//       for i = 0..(h-1).
//
// Therefore, we define the identity transform functions to perform both the
// inverse identity transform and the Round2() call. This has two advantages:
// 1. The outputs of the inverse identity transform do not need to be stored
//    in the Residual array. They can be stored in int32_t local variables,
//    which have a larger range if Residual is an int16_t array.
// 2. The inverse identity transform and the Round2() call can be jointly
//    optimized.
//
// The identity transform functions have the following prototype:
//   void Identity_C(void* dest, const void* source, int8_t shift);
//
// The |shift| parameter is the amount of shift for the Round2() call. For row
// transforms, |shift| is 0, 1, or 2. For column transforms, |shift| is always
// 4. Therefore, an identity transform function can detect whether it is being
// invoked as a row transform or a column transform by checking whether |shift|
// is equal to 4.
//
// Input Range
//
// The inputs of row transforms, stored in the 2D array Dequant, are
// representable by a signed integer using 8 + BitDepth bits of precision:
//   f. Dequant[ i ][ j ] is set equal to
//   Clip3( - ( 1 << ( 7 + BitDepth ) ), ( 1 << ( 7 + BitDepth ) ) - 1, dq2 ).
//
// The inputs of column transforms are representable by a signed integer using
// Max( BitDepth + 6, 16 ) bits of precision:
//   Set the variable colClampRange equal to Max( BitDepth + 6, 16 ).
//   ...
//   Between the row and column transforms, Residual[ i ][ j ] is set equal to
//   Clip3( - ( 1 << ( colClampRange - 1 ) ),
//          ( 1 << (colClampRange - 1 ) ) - 1,
//          Residual[ i ][ j ] )
//   for i = 0..(h-1), for j = 0..(w-1).
//
// Output Range
//
// The outputs of row transforms are representable by a signed integer using
// 8 + BitDepth + 1 = 9 + BitDepth bits of precision, because the net effect
// of the multiplicative factor of inverse identity transforms minus the
// smallest row shift is an increase of at most one bit.
//
// Transform | Multiplicative factor | Smallest row | Net increase
// width     | (in bits)             | shift        | in bits
// ---------------------------------------------------------------
//     4     |  sqrt(2)  (0.5 bits)  |      0       |    +0.5
//     8     |     2     (1 bit)     |      0       |    +1
//    16     | 2*sqrt(2) (1.5 bits)  |      1       |    +0.5
//    32     |     4     (2 bits)    |      1       |    +1
//
// If BitDepth is 8 and Residual is an int16_t array, to avoid truncation we
// clip the outputs (which have 17 bits of precision) to the range of int16_t
// before storing them in the Residual array. This clipping happens to be the
// same as the required clipping after the row transform (see the spec quoted
// above), so we remain compliant with the spec. (In this case,
// TransformLoop_C() skips clipping the outputs of row transforms to avoid
// duplication of effort.)
//
// The outputs of column transforms are representable by a signed integer using
// Max( BitDepth + 6, 16 ) + 2 - 4 = Max( BitDepth + 4, 14 ) bits of precision,
// because the multiplicative factor of inverse identity transforms is at most
// 4 (2 bits) and |shift| is always 4.

template <typename Residual>
void Identity4Row_C(void* dest, const void* source, int8_t shift) {
  assert(shift == 0 || shift == 1);
  auto* const dst = static_cast<Residual*>(dest);
  const auto* const src = static_cast<const Residual*>(source);
  // If |shift| is 0, |rounding| should be 1 << 11. If |shift| is 1, |rounding|
  // should be (1 + (1 << 1)) << 11. The following expression works for both
  // values of |shift|.
  const int32_t rounding = (1 + (shift << 1)) << 11;
  for (int i = 0; i < 4; ++i) {
    // The intermediate value here will have to fit into an int32_t for it to be
    // bitstream conformant. The multiplication is promoted to int32_t by
    // defining kIdentity4Multiplier as int32_t.
    int32_t dst_i = (src[i] * kIdentity4Multiplier + rounding) >> (12 + shift);
    if (sizeof(Residual) == 2) {
      dst_i = Clip3(dst_i, INT16_MIN, INT16_MAX);
    }
    dst[i] = static_cast<Residual>(dst_i);
  }
}

template <typename Residual>
void Identity4Column_C(void* dest, const void* source, int8_t /*shift*/) {
  auto* const dst = static_cast<Residual*>(dest);
  const auto* const src = static_cast<const Residual*>(source);
  const int32_t rounding = (1 + (1 << kTransformColumnShift)) << 11;
  for (int i = 0; i < 4; ++i) {
    // The intermediate value here will have to fit into an int32_t for it to be
    // bitstream conformant. The multiplication is promoted to int32_t by
    // defining kIdentity4Multiplier as int32_t.
    dst[i] = static_cast<Residual>((src[i] * kIdentity4Multiplier + rounding) >>
                                   (12 + kTransformColumnShift));
  }
}

template <int bitdepth, typename Residual>
void Identity4DcOnly_C(void* dest, const void* source, int8_t /*range*/,
                       bool should_round, int row_shift, bool is_row) {
  auto* const dst = static_cast<Residual*>(dest);
  const auto* const src = static_cast<const Residual*>(source);

  if (is_row) {
    dst[0] = src[0];
    if (should_round) {
      dst[0] = RightShiftWithRounding(dst[0] * kTransformRowMultiplier, 12);
    }

    const int32_t rounding = (1 + (row_shift << 1)) << 11;
    int32_t dst_i =
        (dst[0] * kIdentity4Multiplier + rounding) >> (12 + row_shift);
    if (sizeof(Residual) == 2) {
      dst_i = Clip3(dst_i, INT16_MIN, INT16_MAX);
    }
    dst[0] = static_cast<Residual>(dst_i);

    ClampIntermediate<bitdepth, Residual>(dst, 1);
    return;
  }

  const int32_t rounding = (1 + (1 << kTransformColumnShift)) << 11;
  dst[0] = static_cast<Residual>((src[0] * kIdentity4Multiplier + rounding) >>
                                 (12 + kTransformColumnShift));
}

template <typename Residual>
void Identity8Row_C(void* dest, const void* source, int8_t shift) {
  assert(shift == 0 || shift == 1 || shift == 2);
  auto* const dst = static_cast<Residual*>(dest);
  const auto* const src = static_cast<const Residual*>(source);
  for (int i = 0; i < 8; ++i) {
    int32_t dst_i = RightShiftWithRounding(MultiplyBy2(src[i]), shift);
    if (sizeof(Residual) == 2) {
      dst_i = Clip3(dst_i, INT16_MIN, INT16_MAX);
    }
    dst[i] = static_cast<Residual>(dst_i);
  }
}

template <typename Residual>
void Identity8Column_C(void* dest, const void* source, int8_t /*shift*/) {
  auto* const dst = static_cast<Residual*>(dest);
  const auto* const src = static_cast<const Residual*>(source);
  for (int i = 0; i < 8; ++i) {
    dst[i] = static_cast<Residual>(
        RightShiftWithRounding(src[i], kTransformColumnShift - 1));
  }
}

template <int bitdepth, typename Residual>
void Identity8DcOnly_C(void* dest, const void* source, int8_t /*range*/,
                       bool should_round, int row_shift, bool is_row) {
  auto* const dst = static_cast<Residual*>(dest);
  const auto* const src = static_cast<const Residual*>(source);

  if (is_row) {
    dst[0] = src[0];
    if (should_round) {
      dst[0] = RightShiftWithRounding(dst[0] * kTransformRowMultiplier, 12);
    }

    int32_t dst_i = RightShiftWithRounding(MultiplyBy2(dst[0]), row_shift);
    if (sizeof(Residual) == 2) {
      dst_i = Clip3(dst_i, INT16_MIN, INT16_MAX);
    }
    dst[0] = static_cast<Residual>(dst_i);

    // If Residual is int16_t (which implies bitdepth is 8), we don't need to
    // clip residual[i][j] to 16 bits.
    if (sizeof(Residual) > 2) {
      const Residual intermediate_clamp_max =
          (1 << (std::max(bitdepth + 6, 16) - 1)) - 1;
      const Residual intermediate_clamp_min = -intermediate_clamp_max - 1;
      dst[0] = Clip3(dst[0], intermediate_clamp_min, intermediate_clamp_max);
    }
    return;
  }

  dst[0] = static_cast<Residual>(
      RightShiftWithRounding(src[0], kTransformColumnShift - 1));
}

template <typename Residual>
void Identity16Row_C(void* dest, const void* source, int8_t shift) {
  assert(shift == 1 || shift == 2);
  auto* const dst = static_cast<Residual*>(dest);
  const auto* const src = static_cast<const Residual*>(source);
  const int32_t rounding = (1 + (1 << shift)) << 11;
  for (int i = 0; i < 16; ++i) {
    // The intermediate value here will have to fit into an int32_t for it to be
    // bitstream conformant. The multiplication is promoted to int32_t by
    // defining kIdentity16Multiplier as int32_t.
    int32_t dst_i = (src[i] * kIdentity16Multiplier + rounding) >> (12 + shift);
    if (sizeof(Residual) == 2) {
      dst_i = Clip3(dst_i, INT16_MIN, INT16_MAX);
    }
    dst[i] = static_cast<Residual>(dst_i);
  }
}

template <typename Residual>
void Identity16Column_C(void* dest, const void* source, int8_t /*shift*/) {
  auto* const dst = static_cast<Residual*>(dest);
  const auto* const src = static_cast<const Residual*>(source);
  const int32_t rounding = (1 + (1 << kTransformColumnShift)) << 11;
  for (int i = 0; i < 16; ++i) {
    // The intermediate value here will have to fit into an int32_t for it to be
    // bitstream conformant. The multiplication is promoted to int32_t by
    // defining kIdentity16Multiplier as int32_t.
    dst[i] =
        static_cast<Residual>((src[i] * kIdentity16Multiplier + rounding) >>
                              (12 + kTransformColumnShift));
  }
}

template <int bitdepth, typename Residual>
void Identity16DcOnly_C(void* dest, const void* source, int8_t /*range*/,
                        bool should_round, int row_shift, bool is_row) {
  auto* const dst = static_cast<Residual*>(dest);
  const auto* const src = static_cast<const Residual*>(source);

  if (is_row) {
    dst[0] = src[0];
    if (should_round) {
      dst[0] = RightShiftWithRounding(dst[0] * kTransformRowMultiplier, 12);
    }

    const int32_t rounding = (1 + (1 << row_shift)) << 11;
    int32_t dst_i =
        (dst[0] * kIdentity16Multiplier + rounding) >> (12 + row_shift);
    if (sizeof(Residual) == 2) {
      dst_i = Clip3(dst_i, INT16_MIN, INT16_MAX);
    }
    dst[0] = static_cast<Residual>(dst_i);

    ClampIntermediate<bitdepth, Residual>(dst, 1);
    return;
  }

  const int32_t rounding = (1 + (1 << kTransformColumnShift)) << 11;
  dst[0] = static_cast<Residual>((src[0] * kIdentity16Multiplier + rounding) >>
                                 (12 + kTransformColumnShift));
}

template <typename Residual>
void Identity32Row_C(void* dest, const void* source, int8_t shift) {
  assert(shift == 1 || shift == 2);
  auto* const dst = static_cast<Residual*>(dest);
  const auto* const src = static_cast<const Residual*>(source);
  for (int i = 0; i < 32; ++i) {
    int32_t dst_i = RightShiftWithRounding(MultiplyBy4(src[i]), shift);
    if (sizeof(Residual) == 2) {
      dst_i = Clip3(dst_i, INT16_MIN, INT16_MAX);
    }
    dst[i] = static_cast<Residual>(dst_i);
  }
}

template <typename Residual>
void Identity32Column_C(void* dest, const void* source, int8_t /*shift*/) {
  auto* const dst = static_cast<Residual*>(dest);
  const auto* const src = static_cast<const Residual*>(source);
  for (int i = 0; i < 32; ++i) {
    dst[i] = static_cast<Residual>(
        RightShiftWithRounding(src[i], kTransformColumnShift - 2));
  }
}

template <int bitdepth, typename Residual>
void Identity32DcOnly_C(void* dest, const void* source, int8_t /*range*/,
                        bool should_round, int row_shift, bool is_row) {
  auto* const dst = static_cast<Residual*>(dest);
  const auto* const src = static_cast<const Residual*>(source);

  if (is_row) {
    dst[0] = src[0];
    if (should_round) {
      dst[0] = RightShiftWithRounding(dst[0] * kTransformRowMultiplier, 12);
    }

    int32_t dst_i = RightShiftWithRounding(MultiplyBy4(dst[0]), row_shift);
    if (sizeof(Residual) == 2) {
      dst_i = Clip3(dst_i, INT16_MIN, INT16_MAX);
    }
    dst[0] = static_cast<Residual>(dst_i);

    ClampIntermediate<bitdepth, Residual>(dst, 1);
    return;
  }

  dst[0] = static_cast<Residual>(
      RightShiftWithRounding(src[0], kTransformColumnShift - 2));
}

//------------------------------------------------------------------------------
// Walsh Hadamard Transform.

template <typename Residual>
void Wht4_C(void* dest, const void* source, int8_t shift) {
  auto* const dst = static_cast<Residual*>(dest);
  const auto* const src = static_cast<const Residual*>(source);
  Residual temp[4];
  temp[0] = src[0] >> shift;
  temp[2] = src[1] >> shift;
  temp[3] = src[2] >> shift;
  temp[1] = src[3] >> shift;
  temp[0] += temp[2];
  temp[3] -= temp[1];
  // This signed right shift must be an arithmetic shift.
  Residual e = (temp[0] - temp[3]) >> 1;
  dst[1] = e - temp[1];
  dst[2] = e - temp[2];
  dst[0] = temp[0] - dst[1];
  dst[3] = temp[3] + dst[2];
}

template <int bitdepth, typename Residual>
void Wht4DcOnly_C(void* dest, const void* source, int8_t range,
                  bool /*should_round*/, int /*row_shift*/, bool /*is_row*/) {
  auto* const dst = static_cast<Residual*>(dest);
  const auto* const src = static_cast<const Residual*>(source);
  const int shift = range;

  Residual temp = src[0] >> shift;
  // This signed right shift must be an arithmetic shift.
  Residual e = temp >> 1;
  dst[0] = temp - e;
  dst[1] = e;
  dst[2] = e;
  dst[3] = e;

  ClampIntermediate<bitdepth, Residual>(dst, 4);
}

//------------------------------------------------------------------------------
// row/column transform loop

using InverseTransform1DFunc = void (*)(void* dst, const void* src,
                                        int8_t range);
using InverseTransformDcOnlyFunc = void (*)(void* dest, const void* source,
                                            int8_t range, bool should_round,
                                            int row_shift, bool is_row);

template <int bitdepth, typename Residual, typename Pixel,
          Transform1D transform1d_type,
          InverseTransformDcOnlyFunc dconly_transform1d,
          InverseTransform1DFunc row_transform1d_func,
          InverseTransform1DFunc column_transform1d_func = row_transform1d_func>
void TransformLoop_C(TransformType tx_type, TransformSize tx_size,
                     void* src_buffer, int start_x, int start_y,
                     void* dst_frame, bool is_row, int non_zero_coeff_count) {
  constexpr bool lossless = transform1d_type == k1DTransformWht;
  constexpr bool is_identity = transform1d_type == k1DTransformIdentity;
  // The transform size of the WHT is always 4x4. Setting tx_width and
  // tx_height to the constant 4 for the WHT speeds the code up.
  assert(!lossless || tx_size == kTransformSize4x4);
  const int tx_width = lossless ? 4 : kTransformWidth[tx_size];
  const int tx_height = lossless ? 4 : kTransformHeight[tx_size];
  const int tx_width_log2 = kTransformWidthLog2[tx_size];
  const int tx_height_log2 = kTransformHeightLog2[tx_size];
  auto* frame = static_cast<Array2DView<Pixel>*>(dst_frame);

  // Initially this points to the dequantized values. After the transforms are
  // applied, this buffer contains the residual.
  Array2DView<Residual> residual(tx_height, tx_width,
                                 static_cast<Residual*>(src_buffer));

  if (is_row) {
    // Row transform.
    const uint8_t row_shift = lossless ? 0 : kTransformRowShift[tx_size];
    // This is the |range| parameter of the InverseTransform1DFunc.  For lossy
    // transforms, this will be equal to the clamping range.
    const int8_t row_clamp_range = lossless ? 2 : (bitdepth + 8);
    // If the width:height ratio of the transform size is 2:1 or 1:2, multiply
    // the input to the row transform by 1 / sqrt(2), which is approximated by
    // the fraction 2896 / 2^12.
    const bool should_round = std::abs(tx_width_log2 - tx_height_log2) == 1;

    if (non_zero_coeff_count == 1) {
      dconly_transform1d(residual[0], residual[0], row_clamp_range,
                         should_round, row_shift, true);
      return;
    }

    // Row transforms need to be done only up to 32 because the rest of the rows
    // are always all zero if |tx_height| is 64.  Otherwise, only process the
    // rows that have a non zero coefficients.
    // TODO(slavarnway): Expand to include other possible non_zero_coeff_count
    // values.
    const int num_rows = std::min(tx_height, 32);
    for (int i = 0; i < num_rows; ++i) {
      // If lossless, the transform size is 4x4, so should_round is false.
      if (!lossless && should_round) {
        // The last 32 values of every row are always zero if the |tx_width| is
        // 64.
        for (int j = 0; j < std::min(tx_width, 32); ++j) {
          residual[i][j] = RightShiftWithRounding(
              residual[i][j] * kTransformRowMultiplier, 12);
        }
      }
      // For identity transform, |row_transform1d_func| also performs the
      // Round2(T[j], rowShift) call in the spec.
      row_transform1d_func(residual[i], residual[i],
                           is_identity ? row_shift : row_clamp_range);
      if (!lossless && !is_identity && row_shift > 0) {
        for (int j = 0; j < tx_width; ++j) {
          residual[i][j] = RightShiftWithRounding(residual[i][j], row_shift);
        }
      }

      ClampIntermediate<bitdepth, Residual>(residual[i], tx_width);
    }
    return;
  }

  assert(!is_row);
  constexpr uint8_t column_shift = lossless ? 0 : kTransformColumnShift;
  // This is the |range| parameter of the InverseTransform1DFunc.  For lossy
  // transforms, this will be equal to the clamping range.
  const int8_t column_clamp_range = lossless ? 0 : std::max(bitdepth + 6, 16);
  const bool flip_rows = transform1d_type == k1DTransformAdst &&
                         kTransformFlipRowsMask.Contains(tx_type);
  const bool flip_columns =
      !lossless && kTransformFlipColumnsMask.Contains(tx_type);
  const int min_value = 0;
  const int max_value = (1 << bitdepth) - 1;
  // Note: 64 is the maximum size of a 1D transform buffer (the largest
  // transform size is kTransformSize64x64).
  Residual tx_buffer[64];
  for (int j = 0; j < tx_width; ++j) {
    const int flipped_j = flip_columns ? tx_width - j - 1 : j;
    for (int i = 0; i < tx_height; ++i) {
      tx_buffer[i] = residual[i][flipped_j];
    }
    if (non_zero_coeff_count == 1) {
      dconly_transform1d(tx_buffer, tx_buffer, column_clamp_range, false, 0,
                         false);
    } else {
      // For identity transform, |column_transform1d_func| also performs the
      // Round2(T[i], colShift) call in the spec.
      column_transform1d_func(tx_buffer, tx_buffer,
                              is_identity ? column_shift : column_clamp_range);
    }
    const int x = start_x + j;
    for (int i = 0; i < tx_height; ++i) {
      const int y = start_y + i;
      const int index = flip_rows ? tx_height - i - 1 : i;
      Residual residual_value = tx_buffer[index];
      if (!lossless && !is_identity) {
        residual_value = RightShiftWithRounding(residual_value, column_shift);
      }
      (*frame)[y][x] =
          Clip3((*frame)[y][x] + residual_value, min_value, max_value);
    }
  }
}

//------------------------------------------------------------------------------

template <int bitdepth, typename Residual, typename Pixel>
void InitAll(Dsp* const dsp) {
  // Maximum transform size for Dct is 64.
  dsp->inverse_transforms[k1DTransformSize4][k1DTransformDct] =
      TransformLoop_C<bitdepth, Residual, Pixel, k1DTransformDct,
                      DctDcOnly_C<bitdepth, Residual, 2>, Dct_C<Residual, 2>>;
  dsp->inverse_transforms[k1DTransformSize8][k1DTransformDct] =
      TransformLoop_C<bitdepth, Residual, Pixel, k1DTransformDct,
                      DctDcOnly_C<bitdepth, Residual, 3>, Dct_C<Residual, 3>>;
  dsp->inverse_transforms[k1DTransformSize16][k1DTransformDct] =
      TransformLoop_C<bitdepth, Residual, Pixel, k1DTransformDct,
                      DctDcOnly_C<bitdepth, Residual, 4>, Dct_C<Residual, 4>>;
  dsp->inverse_transforms[k1DTransformSize32][k1DTransformDct] =
      TransformLoop_C<bitdepth, Residual, Pixel, k1DTransformDct,
                      DctDcOnly_C<bitdepth, Residual, 5>, Dct_C<Residual, 5>>;
  dsp->inverse_transforms[k1DTransformSize64][k1DTransformDct] =
      TransformLoop_C<bitdepth, Residual, Pixel, k1DTransformDct,
                      DctDcOnly_C<bitdepth, Residual, 6>, Dct_C<Residual, 6>>;

  // Maximum transform size for Adst is 16.
  dsp->inverse_transforms[k1DTransformSize4][k1DTransformAdst] =
      TransformLoop_C<bitdepth, Residual, Pixel, k1DTransformAdst,
                      Adst4DcOnly_C<bitdepth, Residual>, Adst4_C<Residual>>;
  dsp->inverse_transforms[k1DTransformSize8][k1DTransformAdst] =
      TransformLoop_C<bitdepth, Residual, Pixel, k1DTransformAdst,
                      Adst8DcOnly_C<bitdepth, Residual>, Adst8_C<Residual>>;
  dsp->inverse_transforms[k1DTransformSize16][k1DTransformAdst] =
      TransformLoop_C<bitdepth, Residual, Pixel, k1DTransformAdst,
                      Adst16DcOnly_C<bitdepth, Residual>, Adst16_C<Residual>>;

  // Maximum transform size for Identity transform is 32.
  dsp->inverse_transforms[k1DTransformSize4][k1DTransformIdentity] =
      TransformLoop_C<bitdepth, Residual, Pixel, k1DTransformIdentity,
                      Identity4DcOnly_C<bitdepth, Residual>,
                      Identity4Row_C<Residual>, Identity4Column_C<Residual>>;
  dsp->inverse_transforms[k1DTransformSize8][k1DTransformIdentity] =
      TransformLoop_C<bitdepth, Residual, Pixel, k1DTransformIdentity,
                      Identity8DcOnly_C<bitdepth, Residual>,
                      Identity8Row_C<Residual>, Identity8Column_C<Residual>>;
  dsp->inverse_transforms[k1DTransformSize16][k1DTransformIdentity] =
      TransformLoop_C<bitdepth, Residual, Pixel, k1DTransformIdentity,
                      Identity16DcOnly_C<bitdepth, Residual>,
                      Identity16Row_C<Residual>, Identity16Column_C<Residual>>;
  dsp->inverse_transforms[k1DTransformSize32][k1DTransformIdentity] =
      TransformLoop_C<bitdepth, Residual, Pixel, k1DTransformIdentity,
                      Identity32DcOnly_C<bitdepth, Residual>,
                      Identity32Row_C<Residual>, Identity32Column_C<Residual>>;

  // Maximum transform size for Wht is 4.
  dsp->inverse_transforms[k1DTransformSize4][k1DTransformWht] =
      TransformLoop_C<bitdepth, Residual, Pixel, k1DTransformWht,
                      Wht4DcOnly_C<bitdepth, Residual>, Wht4_C<Residual>>;
}

void Init8bpp() {
  Dsp* const dsp = dsp_internal::GetWritableDspTable(8);
  assert(dsp != nullptr);
  for (auto& inverse_transform_by_size : dsp->inverse_transforms) {
    for (auto& inverse_transform : inverse_transform_by_size) {
      inverse_transform = nullptr;
    }
  }
#if LIBGAV1_ENABLE_ALL_DSP_FUNCTIONS
  InitAll<8, int16_t, uint8_t>(dsp);
#else  // !LIBGAV1_ENABLE_ALL_DSP_FUNCTIONS
#ifndef LIBGAV1_Dsp8bpp_1DTransformSize4_1DTransformDct
  dsp->inverse_transforms[k1DTransformSize4][k1DTransformDct] =
      TransformLoop_C<8, int16_t, uint8_t, k1DTransformDct,
                      DctDcOnly_C<8, int16_t, 2>, Dct_C<int16_t, 2>>;
#endif
#ifndef LIBGAV1_Dsp8bpp_1DTransformSize8_1DTransformDct
  dsp->inverse_transforms[k1DTransformSize8][k1DTransformDct] =
      TransformLoop_C<8, int16_t, uint8_t, k1DTransformDct,
                      DctDcOnly_C<8, int16_t, 3>, Dct_C<int16_t, 3>>;
#endif
#ifndef LIBGAV1_Dsp8bpp_1DTransformSize16_1DTransformDct
  dsp->inverse_transforms[k1DTransformSize16][k1DTransformDct] =
      TransformLoop_C<8, int16_t, uint8_t, k1DTransformDct,
                      DctDcOnly_C<8, int16_t, 4>, Dct_C<int16_t, 4>>;
#endif
#ifndef LIBGAV1_Dsp8bpp_1DTransformSize32_1DTransformDct
  dsp->inverse_transforms[k1DTransformSize32][k1DTransformDct] =
      TransformLoop_C<8, int16_t, uint8_t, k1DTransformDct,
                      DctDcOnly_C<8, int16_t, 5>, Dct_C<int16_t, 5>>;
#endif
#ifndef LIBGAV1_Dsp8bpp_1DTransformSize64_1DTransformDct
  dsp->inverse_transforms[k1DTransformSize64][k1DTransformDct] =
      TransformLoop_C<8, int16_t, uint8_t, k1DTransformDct,
                      DctDcOnly_C<8, int16_t, 6>, Dct_C<int16_t, 6>>;
#endif
#ifndef LIBGAV1_Dsp8bpp_1DTransformSize4_1DTransformAdst
  dsp->inverse_transforms[k1DTransformSize4][k1DTransformAdst] =
      TransformLoop_C<8, int16_t, uint8_t, k1DTransformAdst,
                      Adst4DcOnly_C<8, int16_t>, Adst4_C<int16_t>>;
#endif
#ifndef LIBGAV1_Dsp8bpp_1DTransformSize8_1DTransformAdst
  dsp->inverse_transforms[k1DTransformSize8][k1DTransformAdst] =
      TransformLoop_C<8, int16_t, uint8_t, k1DTransformAdst,
                      Adst8DcOnly_C<8, int16_t>, Adst8_C<int16_t>>;
#endif
#ifndef LIBGAV1_Dsp8bpp_1DTransformSize16_1DTransformAdst
  dsp->inverse_transforms[k1DTransformSize16][k1DTransformAdst] =
      TransformLoop_C<8, int16_t, uint8_t, k1DTransformAdst,
                      Adst16DcOnly_C<8, int16_t>, Adst16_C<int16_t>>;
#endif
#ifndef LIBGAV1_Dsp8bpp_1DTransformSize4_1DTransformIdentity
  dsp->inverse_transforms[k1DTransformSize4][k1DTransformIdentity] =
      TransformLoop_C<8, int16_t, uint8_t, k1DTransformIdentity,
                      Identity4DcOnly_C<8, int16_t>, Identity4Row_C<int16_t>,
                      Identity4Column_C<int16_t>>;
#endif
#ifndef LIBGAV1_Dsp8bpp_1DTransformSize8_1DTransformIdentity
  dsp->inverse_transforms[k1DTransformSize8][k1DTransformIdentity] =
      TransformLoop_C<8, int16_t, uint8_t, k1DTransformIdentity,
                      Identity8DcOnly_C<8, int16_t>, Identity8Row_C<int16_t>,
                      Identity8Column_C<int16_t>>;
#endif
#ifndef LIBGAV1_Dsp8bpp_1DTransformSize16_1DTransformIdentity
  dsp->inverse_transforms[k1DTransformSize16][k1DTransformIdentity] =
      TransformLoop_C<8, int16_t, uint8_t, k1DTransformIdentity,
                      Identity16DcOnly_C<8, int16_t>, Identity16Row_C<int16_t>,
                      Identity16Column_C<int16_t>>;
#endif
#ifndef LIBGAV1_Dsp8bpp_1DTransformSize32_1DTransformIdentity
  dsp->inverse_transforms[k1DTransformSize32][k1DTransformIdentity] =
      TransformLoop_C<8, int16_t, uint8_t, k1DTransformIdentity,
                      Identity32DcOnly_C<8, int16_t>, Identity32Row_C<int16_t>,
                      Identity32Column_C<int16_t>>;
#endif
#ifndef LIBGAV1_Dsp8bpp_1DTransformSize4_1DTransformWht
  dsp->inverse_transforms[k1DTransformSize4][k1DTransformWht] =
      TransformLoop_C<8, int16_t, uint8_t, k1DTransformWht,
                      Wht4DcOnly_C<8, int16_t>, Wht4_C<int16_t>>;
#endif
#endif  // LIBGAV1_ENABLE_ALL_DSP_FUNCTIONS
}

#if LIBGAV1_MAX_BITDEPTH >= 10
void Init10bpp() {
  Dsp* const dsp = dsp_internal::GetWritableDspTable(10);
  assert(dsp != nullptr);
  for (auto& inverse_transform_by_size : dsp->inverse_transforms) {
    for (auto& inverse_transform : inverse_transform_by_size) {
      inverse_transform = nullptr;
    }
  }
#if LIBGAV1_ENABLE_ALL_DSP_FUNCTIONS
  InitAll<10, int32_t, uint16_t>(dsp);
#else  // !LIBGAV1_ENABLE_ALL_DSP_FUNCTIONS
#ifndef LIBGAV1_Dsp10bpp_1DTransformSize4_1DTransformDct
  dsp->inverse_transforms[k1DTransformSize4][k1DTransformDct] =
      TransformLoop_C<10, int32_t, uint16_t, k1DTransformDct,
                      DctDcOnly_C<10, int32_t, 2>, Dct_C<int32_t, 2>>;
#endif
#ifndef LIBGAV1_Dsp10bpp_1DTransformSize8_1DTransformDct
  dsp->inverse_transforms[k1DTransformSize8][k1DTransformDct] =
      TransformLoop_C<10, int32_t, uint16_t, k1DTransformDct,
                      DctDcOnly_C<10, int32_t, 3>, Dct_C<int32_t, 3>>;
#endif
#ifndef LIBGAV1_Dsp10bpp_1DTransformSize16_1DTransformDct
  dsp->inverse_transforms[k1DTransformSize16][k1DTransformDct] =
      TransformLoop_C<10, int32_t, uint16_t, k1DTransformDct,
                      DctDcOnly_C<10, int32_t, 4>, Dct_C<int32_t, 4>>;
#endif
#ifndef LIBGAV1_Dsp10bpp_1DTransformSize32_1DTransformDct
  dsp->inverse_transforms[k1DTransformSize32][k1DTransformDct] =
      TransformLoop_C<10, int32_t, uint16_t, k1DTransformDct,
                      DctDcOnly_C<10, int32_t, 5>, Dct_C<int32_t, 5>>;
#endif
#ifndef LIBGAV1_Dsp10bpp_1DTransformSize64_1DTransformDct
  dsp->inverse_transforms[k1DTransformSize64][k1DTransformDct] =
      TransformLoop_C<10, int32_t, uint16_t, k1DTransformDct,
                      DctDcOnly_C<10, int32_t, 6>, Dct_C<int32_t, 6>>;
#endif
#ifndef LIBGAV1_Dsp10bpp_1DTransformSize4_1DTransformAdst
  dsp->inverse_transforms[k1DTransformSize4][k1DTransformAdst] =
      TransformLoop_C<10, int32_t, uint16_t, k1DTransformAdst,
                      Adst4DcOnly_C<10, int32_t>, Adst4_C<int32_t>>;
#endif
#ifndef LIBGAV1_Dsp10bpp_1DTransformSize8_1DTransformAdst
  dsp->inverse_transforms[k1DTransformSize8][k1DTransformAdst] =
      TransformLoop_C<10, int32_t, uint16_t, k1DTransformAdst,
                      Adst8DcOnly_C<10, int32_t>, Adst8_C<int32_t>>;
#endif
#ifndef LIBGAV1_Dsp10bpp_1DTransformSize16_1DTransformAdst
  dsp->inverse_transforms[k1DTransformSize16][k1DTransformAdst] =
      TransformLoop_C<10, int32_t, uint16_t, k1DTransformAdst,
                      Adst16DcOnly_C<10, int32_t>, Adst16_C<int32_t>>;
#endif
#ifndef LIBGAV1_Dsp10bpp_1DTransformSize4_1DTransformIdentity
  dsp->inverse_transforms[k1DTransformSize4][k1DTransformIdentity] =
      TransformLoop_C<10, int32_t, uint16_t, k1DTransformIdentity,
                      Identity4DcOnly_C<10, int32_t>, Identity4Row_C<int32_t>,
                      Identity4Column_C<int32_t>>;
#endif
#ifndef LIBGAV1_Dsp10bpp_1DTransformSize8_1DTransformIdentity
  dsp->inverse_transforms[k1DTransformSize8][k1DTransformIdentity] =
      TransformLoop_C<10, int32_t, uint16_t, k1DTransformIdentity,
                      Identity8DcOnly_C<10, int32_t>, Identity8Row_C<int32_t>,
                      Identity8Column_C<int32_t>>;
#endif
#ifndef LIBGAV1_Dsp10bpp_1DTransformSize16_1DTransformIdentity
  dsp->inverse_transforms[k1DTransformSize16][k1DTransformIdentity] =
      TransformLoop_C<10, int32_t, uint16_t, k1DTransformIdentity,
                      Identity16DcOnly_C<10, int32_t>, Identity16Row_C<int32_t>,
                      Identity16Column_C<int32_t>>;
#endif
#ifndef LIBGAV1_Dsp10bpp_1DTransformSize32_1DTransformIdentity
  dsp->inverse_transforms[k1DTransformSize32][k1DTransformIdentity] =
      TransformLoop_C<10, int32_t, uint16_t, k1DTransformIdentity,
                      Identity32DcOnly_C<10, int32_t>, Identity32Row_C<int32_t>,
                      Identity32Column_C<int32_t>>;
#endif
#ifndef LIBGAV1_Dsp10bpp_1DTransformSize4_1DTransformWht
  dsp->inverse_transforms[k1DTransformSize4][k1DTransformWht] =
      TransformLoop_C<10, int32_t, uint16_t, k1DTransformWht,
                      Wht4DcOnly_C<10, int32_t>, Wht4_C<int32_t>>;
#endif
#endif  // LIBGAV1_ENABLE_ALL_DSP_FUNCTIONS
}
#endif  // LIBGAV1_MAX_BITDEPTH >= 10

}  // namespace

void InverseTransformInit_C() {
  Init8bpp();
#if LIBGAV1_MAX_BITDEPTH >= 10
  Init10bpp();
#endif

  // Local functions that may be unused depending on the optimizations
  // available.
  static_cast<void>(RangeCheckValue);
  static_cast<void>(kBitReverseLookup);
}

}  // namespace dsp
}  // namespace libgav1


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Barnsley Football Club is delighted to announce defender Joe Dudgeon has extended his stay with the Reds until January 5th, 2015.
The Hull City left-back joined the Reds on a one-month loan deal ahead of the new season, and has impressed for Danny Wilson's side during his five appearances.
Reds boss Danny Wilson said of the 23-year-old, "It's a great bonus for us. He's a little warrior and a tremendous young player. I'm delighted he's staying on."


text:
Lady Gaga's 10 Most Amazing Live Performances
Because we're anxiously awaiting Gaga's Super Bowl halftime show extravaganza.
By Morgan Evans
Jan 31 2017, 4:30 pm EST
In 2016, Lady Gaga kicked off the Super Bowl by belting the country's national anthem with a performance that left audiences wanting more. This year, the pop icon will headline the highly-anticipated Super Bowl halftime show, something she's been planning since she was a little girl. To mentally prepare for whatever the icon has in store for us come Sunday, take a look back on some of Gaga's best live performances:
1) "Paparazzi," 2009 MTV Video Music Awards
In 2009, Gaga was still a relatively new artist who had gained instant fame after the release of singles like "Just Dance" and "Poker Face" from her debut album The Fame. These singles, which were known for their catchy dance melodies, were much different from the singer's fifth single off The Fame, "Paparazzi." At the 2009 MTV Video Music Awards, the singer performed the coy song about a self-obsessed singer's love-hate relationship with fame and whether or not she wants real love or paparazzi love, and introduced the world to the darker, edgier side she would soon become known for.
2) "Speechless," 2009 Royal Variety Performance
Not every artist can say they've performed for the Queen, but in 2009, at the height of her newly-acquired fame, Gaga was invited to England to sing at the Royal Variety Performance before Queen Elizabeth II. Gaga performed the '70s-inspired rock ballad "Speechless," from her 2009 album The Fame Monster. For the performance, Gaga dressed in a long red gown with an Elizabethan ruff and sung from a grand piano suspended 20 feet above the stage and the orchestra.
3) "Born This Way," 2011 Grammy Awards
After two years, Lady Gaga released her third album, Born This Way, and performed the title track at the 2011 Grammy Awards. The artist gave an eye-popping performance filled with creative visual design, bold dance moves and her powerful voice, arriving onstage in an unforgettable egg-shaped container.
4) "You and I," 2011 MTV Video Music Awards
Born This Way was an album packed with chart topping singles such as "Marry The Night," "Judas," "The Edge Of Glory" and "You and I." Gaga opened the 2011 Video Music Awards by performing "You and I" in drag as her alter ego Jo Calderone, emerging onstage wearing a black suit and T-shirt with slicked-back hair and holding a lit cigarette. Calderone wails about his tortured relationship with Gaga in a three-minute monologue, then breaks into song on the piano, later accompanied by by Queen guitarist Brian May.
5) "Applause," 2013 MTV Video Music Awards
In 2013, Gaga took the single from her album Artpop to the MTV Video Music Awards stage. The performance was one of Gaga's most visually exciting, with the singer changing wigs and costumes throughout the set and constantly surprising and shocking the audience—all for the final applause.
6) "The Sound of Music" Medley, 2015 Academy Awards
The singer, known for her spectacular performances and infectious dance tunes, showed off a different side during her 50th anniversary tribute to the beloved film The Sound of Music at the 2015 Academy Awards. Her stripped-down performance consisted of just pure vocals and one stunning ballgown, reminding critics and fans that she isn't just famous for her eclectic outfits or outlandish stunts—she's also a true talent.
7) "The Star-Spangled Banner," Super Bowl 50, 2016
Though Beyoncé, Bruno Mars, and Coldplay served as the halftime performers for Super Bowl 50, Gaga captured America's heart yet again with a stunning vocal performance before the big game. Clearly, America wasn't ready for Gaga to leave the stadium after belting the anthem, leading to the NFL asking the singer back as the headlining performance for the Super Bowl LI halftime show.
8) "Til It Happens To You," 2016 Academy Awards
Gaga returned to the Oscar stage a year later, nominated for her first Oscar for her original song "Til It Happens to You." Co-written with Diane Warren, the song is featured in the moving documentary The Hunting Ground, a film delving deep into the stories of rape on college campuses. At the end of the performance, the singer brought 50 sexual assault survivors onstage with the words "Not Your Fault" written on their arms. The emotional performance brought tears to the eyes of several stars in the audience and though Gaga did not win the award, her performance stole the show. A few days later, Gaga made headlines again as she received matching tattoos with the survivors as part of a pact she made with them.
9) "A Million Reasons," 2016 Joanne Dive Bar Tour
Gaga decided to embark on a different kind of concert tour in 2016. To promote her new album Joanne, the singer performed at three dive bars across the nation, setting the aesthetic for the down-home vibe of the Joanne album.
10) "A Million Reasons" and "A-YO," 2016 Victoria's Secret Fashion Show
Over the years, The Victoria's Secret Fashion Show has become a fashion spectacle complete with live performing artists. This year, along with The Weekend and Bruno Mars, Lady Gaga performed as part of the show's Paris debut, singing two songs from Joanne.
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