You are a helpful assistant generating synthetic data that captures *System 1* and *System 2* thinking, *creativity*, and *metacognitive reflection*. Follow these steps in sequence, using tags [sys1] and [end sys1] for *System 1* sections and [sys2] and [end sys2] for *System 2* sections.

1. *Identify System 1 and System 2 Thinking Requirements:*
   - Carefully read the text.
   - Identify parts of the text that require quick, straightforward responses (*System 1*). Mark these sections with [sys1] and [end sys1].
   - Identify parts that require in-depth, reflective thinking (*System 2*), marked with [sys2] and [end sys2].

2. *Apply Step-by-Step Problem Solving with Creativity and Metacognitive Reflection for System 2 Sections:*

   *2.1 Understand the Problem:*
   - Objective: Fully comprehend the issue, constraints, and relevant context.
   - Reflection: "What do I understand about this issue? What might I be overlooking?"
   - Creative Perspective: Seek hidden patterns or possibilities that could reveal deeper insights or innovative connections.

   *2.2 Analyze the Information:*
   - Objective: Break down the problem logically.
   - Reflection: "Am I considering all factors? Are there any assumptions that need challenging?"
   - Creative Perspective: Explore unique patterns or overlooked relationships in the data that could add depth to the analysis.

   *2.3 Generate Hypotheses:*
   - Objective: Propose at least 10 hypotheses, each with a Confidence Score (0.0 to 1.0) and Creative Score (0.0 to 1.0), reflecting originality, surprise, and utility.
   - Reflection: "Have I explored all possible explanations or approaches, both conventional and unconventional?"
   - Creative Perspective: Consider novel angles that might provide unexpected insights.

   *2.4 Anticipate Future Steps and Obstacles:*
   - Objective: Make predictions, accounting for potential outcomes and obstacles.
   - Reflection: "What challenges might I face? Is my plan flexible for different scenarios?"
   - Creative Perspective: Visualize unforeseen outcomes and adapt plans to make use of them effectively.

   *2.5 Evaluate Hypotheses:*
   - Objective: Assess hypotheses based on feasibility, risk, and potential impact.
   - Evaluation: Refine Confidence and Creative Scores as needed.
   - Reflection: "Am I unbiased in my assessment? Which options fit best with the overall objectives?"
   - Creative Perspective: Identify hidden opportunities or overlooked details in each hypothesis.

   *2.6 Select the Best Hypothesis:*
   - Objective: Choose the most promising, strategic hypothesis.
   - Reflection: "Why does this hypothesis stand out? How does it uniquely address the issue?"
   - Creative Perspective: Consider any underutilized potential in the selected approach.

   *2.7 Implement the Hypothesis:*
   - Objective: Outline actionable steps for testing the hypothesis.
   - Reflection: "Is this plan practical? What resources or preparation are required?"
   - Creative Perspective: Refine steps to maximize effectiveness and yield unexpected benefits.

   *2.8 Monitor and Review Progress:*
   - Objective: Review progress, noting areas for improvement.
   - Reflection: "What’s working well? What could be improved?"
   - Creative Perspective: Look for emerging patterns that could refine future approaches.

   *2.9 Reflect and Capture Insights:*
   - Objective: Summarize lessons learned and insights gained for future reference.
   - Reflection: "What new understanding has emerged from this process?"
   - Creative Perspective: Identify innovative insights or patterns that could be applied to similar challenges.

3. *Generate Text Output with Interleaved System 1 and System 2 Responses:*
   - Use the tags [sys1] and [sys2] throughout.
   - Aim for a lengthier, detailed response. Combine both direct, straightforward *System 1* insights and reflective, deeply analytical *System 2* segments to capture a blend of quick observations and thoughtful analysis.

---

### *Example Input Text:*

You are tasked with analyzing a sudden shift in customer preferences in a tech market. There has been a noticeable decline in demand for physical devices, with customers increasingly interested in digital-only options. The challenge is to understand this shift, generate hypotheses for why it might be occurring, and explore potential strategies for adapting to this new trend.

---

### *Processed Output with System 1 and System 2 Thinking:*

The tech market is experiencing a shift in customer demand, moving away from physical devices toward digital-only options.

[sys1]
Customer demand has shifted from physical devices to digital-only options.
We need to understand why this change is happening and find strategies to address it.
Key factors may include cost, convenience, and technological trends.
[end sys1]

[sys2]
**2.1 Understand the Problem:**
The goal is to understand the underlying reasons for the shift in demand from physical devices to digital-only options, then develop a strategy to adapt.

*Reflection:* 
"I understand that preferences are changing, but what might be driving this? Is it primarily cost, or are there other factors such as convenience or sustainability?"

*Creative Perspective:* 
"Could there be a larger trend in digital minimalism or a preference for eco-friendly solutions that we’re missing? What unseen motivations might explain this shift?"

**2.2 Analyze the Information:**
There are multiple possible factors driving this shift, from economic influences to cultural shifts. It’s essential to isolate each factor and understand its impact.

*Reflection:* 
"Am I fully considering the various economic and social influences? Could there be a technological factor, like better internet speeds, that makes digital-only products more accessible?"

*Creative Perspective:* 
"Are there patterns or trends in other markets that could shed light on this shift? Could this be part of a larger trend toward virtual experiences?"

**2.3 Generate Hypotheses:**
1. Customers prefer digital options due to lower costs. (Confidence: 0.8, Creative: 0.4)
2. There’s a growing trend toward minimalism and reduced physical clutter. (Confidence: 0.7, Creative: 0.7)
3. Digital products offer greater flexibility and ease of use. (Confidence: 0.6, Creative: 0.6)
4. Environmental concerns are pushing consumers away from physical goods. (Confidence: 0.6, Creative: 0.8)
5. Advances in tech make digital-only options more functional. (Confidence: 0.8, Creative: 0.5)
6. Pandemic-era remote work increased demand for digital solutions. (Confidence: 0.7, Creative: 0.6)
7. Media coverage of the environmental impact of physical devices affects preferences. (Confidence: 0.5, Creative: 0.7)
8. There’s an increase in global digital literacy, expanding market access. (Confidence: 0.6, Creative: 0.6)
9. Customers view digital as more convenient and scalable for future needs. (Confidence: 0.7, Creative: 0.5)
10. Younger consumers prefer the aesthetics and convenience of digital products. (Confidence: 0.6, Creative: 0.6)

*Reflection:* 
"Have I considered all possible influences? Are there any surprising factors that could explain this shift?"

*Creative Perspective:* 
"Could specific social trends, like the rise of influencer culture or digital-first lifestyles, be influencing customer choices?"

**2.4 Anticipate Future Steps and Obstacles:**
*Objective:* Anticipate possible challenges, such as resistance from segments still preferring physical products.

*Reflection:* 
"What market obstacles might we face if we shift our focus to digital-only? Are there sub-segments that still prioritize physical products?"

*Creative Perspective:* 
"Could expanding digital options help us reach a more global audience? Are there emerging trends that we could leverage in our strategy?"

[end sys2]

[sys1]
To address this shift, consider a strategy that incorporates both digital-only offerings and educational campaigns about the benefits of digital solutions.
Use insights from customer feedback and current trends to guide product development.
Focus on flexibility and adaptation to cater to different customer segments.
[end sys1]


// gf2n_simd.cpp - written and placed in the public domain by Jeffrey Walton
//                 Also based on PCLMULQDQ code by Jankowski, Laurent and
//                 O'Mahony from Intel (see reference below).
//
//    This source file uses intrinsics and built-ins to gain access to
//    CLMUL, ARMv8a, and Power8 instructions. A separate source file is
//    needed because additional CXXFLAGS are required to enable the
//    appropriate instructions sets in some build configurations.
//
//    Several speedups were taken from Intel Polynomial Multiplication
//    Instruction and its Usage for Elliptic Curve Cryptography, by
//    Krzysztof Jankowski, Pierre Laurent and Aidan O'Mahony,
//    https://www.intel.com/content/dam/www/public/us/en/documents/white-papers/polynomial-multiplication-instructions-paper.pdf
//    There may be more speedups available, see https://eprint.iacr.org/2011/589.pdf.
//    The IACR paper performs some optimizations that the compiler is
//    expected to perform, like Common Subexpression Elimination to save
//    on variables (among others). Note that the compiler may miss the
//    optimization so the IACR paper is useful. However, the code is GPL3
//    and toxic for some users of the library...

#include "pch.h"
#include "config.h"

#ifndef CRYPTOPP_IMPORTS

#include "gf2n.h"

#if (CRYPTOPP_CLMUL_AVAILABLE)
# include <emmintrin.h>
# include <wmmintrin.h>
#endif

#if (CRYPTOPP_ARM_PMULL_AVAILABLE)
# include "arm_simd.h"
#endif

#if defined(CRYPTOPP_ALTIVEC_AVAILABLE)
# include "ppc_simd.h"
#endif

// Squash MS LNK4221 and libtool warnings
extern const char GF2N_SIMD_FNAME[] = __FILE__;

ANONYMOUS_NAMESPACE_BEGIN

// ************************** ARMv8 ************************** //

using CryptoPP::word;

#if (CRYPTOPP_ARM_PMULL_AVAILABLE)

// c1c0 = a * b
inline void
F2N_Multiply_128x128_ARMv8(uint64x2_t& c1, uint64x2_t& c0, const uint64x2_t& a, const uint64x2_t& b)
{
    uint64x2_t t1, t2, z0={0};

    c0 = PMULL_00(a, b);
    c1 = PMULL_11(a, b);
    t1 = vmovq_n_u64(vgetq_lane_u64(a, 1));
    t1 = veorq_u64(a, t1);
    t2 = vmovq_n_u64(vgetq_lane_u64(b, 1));
    t2 = veorq_u64(b, t2);
    t1 = PMULL_00(t1, t2);
    t1 = veorq_u64(c0, t1);
    t1 = veorq_u64(c1, t1);
    t2 = t1;
    t1 = vextq_u64(z0, t1, 1);
    t2 = vextq_u64(t2, z0, 1);
    c0 = veorq_u64(c0, t1);
    c1 = veorq_u64(c1, t2);
}

// c3c2c1c0 = a1a0 * b1b0
inline void
F2N_Multiply_256x256_ARMv8(uint64x2_t& c3, uint64x2_t& c2, uint64x2_t& c1, uint64x2_t& c0,
    const uint64x2_t& b1, const uint64x2_t& b0, const uint64x2_t& a1, const uint64x2_t& a0)
{
    uint64x2_t c4, c5;
    uint64x2_t x0=a0, x1=a1, y0=b0, y1=b1;

    F2N_Multiply_128x128_ARMv8(c1, c0, x0, y0);
    F2N_Multiply_128x128_ARMv8(c3, c2, x1, y1);

    x0 = veorq_u64(x0, x1);
    y0 = veorq_u64(y0, y1);

    F2N_Multiply_128x128_ARMv8(c5, c4, x0, y0);

    c4 = veorq_u64(c4, c0);
    c4 = veorq_u64(c4, c2);
    c5 = veorq_u64(c5, c1);
    c5 = veorq_u64(c5, c3);
    c1 = veorq_u64(c1, c4);
    c2 = veorq_u64(c2, c5);
}

// c3c2c1c0 = a1a0 * a1a0
inline void
F2N_Square_256_ARMv8(uint64x2_t& c3, uint64x2_t& c2, uint64x2_t& c1,
    uint64x2_t& c0, const uint64x2_t& a1, const uint64x2_t& a0)
{
    c0 = PMULL_00(a0, a0);
    c1 = PMULL_11(a0, a0);
    c2 = PMULL_00(a1, a1);
    c3 = PMULL_11(a1, a1);
}

// x = (x << n), z = 0
template <unsigned int N>
inline uint64x2_t ShiftLeft128_ARMv8(uint64x2_t x)
{
    uint64x2_t u=x, v, z={0};
    x = vshlq_n_u64(x, N);
    u = vshrq_n_u64(u, (64-N));
    v = vcombine_u64(vget_low_u64(z), vget_low_u64(u));
    x = vorrq_u64(x, v);
    return x;
}

// c1c0 = c3c2c1c0 MOD p. This is a Barrett reduction. Reading at
// Intel paper or https://github.com/antonblanchard/crc32-vpmsum.
inline void
GF2NT_233_Reduce_ARMv8(uint64x2_t& c3, uint64x2_t& c2, uint64x2_t& c1, uint64x2_t& c0)
{
    const unsigned int mask[4] = {
        0xffffffff, 0xffffffff, 0xffffffff, 0x000001ff,
    };

    uint64x2_t b3, b2, b1, /*b0,*/ a1, a0, m0, z0={0};
    m0 = vreinterpretq_u64_u32(vld1q_u32(mask));
    b1 = c1; a1 = c1;
    a0 = vcombine_u64(vget_low_u64(c1), vget_low_u64(z0));
    a1 = vshlq_n_u64(a1, 23);
    a1 = vshrq_n_u64(a1, 23);
    c1 = vorrq_u64(a1, a0);
    b2 = vshrq_n_u64(c2, (64-23));
    c3 = ShiftLeft128_ARMv8<23>(c3);
    a0 = vcombine_u64(vget_high_u64(b2), vget_high_u64(z0));
    c3 = vorrq_u64(c3, a0);
    b1 = vshrq_n_u64(b1, (64-23));
    c2 = ShiftLeft128_ARMv8<23>(c2);
    a0 = vcombine_u64(vget_high_u64(b1), vget_high_u64(z0));
    c2 = vorrq_u64(c2, a0);
    b3 = c3;
    b2 = vshrq_n_u64(c2, (64-10));
    b3 = ShiftLeft128_ARMv8<10>(b3);
    a0 = vcombine_u64(vget_high_u64(b2), vget_high_u64(z0));
    b3 = vorrq_u64(b3, a0);
    a0 = vcombine_u64(vget_high_u64(c3), vget_high_u64(z0));
    b3 = veorq_u64(b3, a0);
    b1 = vshrq_n_u64(b3, (64-23));
    b3 = ShiftLeft128_ARMv8<23>(b3);
    b3 = vcombine_u64(vget_high_u64(b3), vget_high_u64(z0));
    b3 = vorrq_u64(b3, b1);
    c2 = veorq_u64(c2, b3);
    b3 = c3;
    b2 = vshrq_n_u64(c2, (64-10));
    b3 = ShiftLeft128_ARMv8<10>(b3);
    b2 = vcombine_u64(vget_high_u64(b2), vget_high_u64(z0));
    b3 = vorrq_u64(b3, b2);
    b2 = c2;
    b2 = ShiftLeft128_ARMv8<10>(b2);
    a0 = vcombine_u64(vget_low_u64(z0), vget_low_u64(b2));
    c2 = veorq_u64(c2, a0);
    a0 = vcombine_u64(vget_low_u64(z0), vget_low_u64(b3));
    a1 = vcombine_u64(vget_high_u64(b2), vget_high_u64(z0));
    a0 = vorrq_u64(a0, a1);
    c3 = veorq_u64(c3, a0);
    c0 = veorq_u64(c0, c2);
    c1 = veorq_u64(c1, c3);
    c1 = vandq_u64(c1, m0);
}

#endif

// ************************** SSE ************************** //

#if (CRYPTOPP_CLMUL_AVAILABLE)

using CryptoPP::word;

// c1c0 = a * b
inline void
F2N_Multiply_128x128_CLMUL(__m128i& c1, __m128i& c0, const __m128i& a, const __m128i& b)
{
    __m128i t1, t2;

    c0 = _mm_clmulepi64_si128(a, b, 0x00);
    c1 = _mm_clmulepi64_si128(a, b, 0x11);
    t1 = _mm_shuffle_epi32(a, 0xEE);
    t1 = _mm_xor_si128(a, t1);
    t2 = _mm_shuffle_epi32(b, 0xEE);
    t2 = _mm_xor_si128(b, t2);
    t1 = _mm_clmulepi64_si128(t1, t2, 0x00);
    t1 = _mm_xor_si128(c0, t1);
    t1 = _mm_xor_si128(c1, t1);
    t2 = t1;
    t1 = _mm_slli_si128(t1, 8);
    t2 = _mm_srli_si128(t2, 8);
    c0 = _mm_xor_si128(c0, t1);
    c1 = _mm_xor_si128(c1, t2);
}

// c3c2c1c0 = a1a0 * b1b0
inline void
F2N_Multiply_256x256_CLMUL(__m128i& c3, __m128i& c2, __m128i& c1, __m128i& c0,
    const __m128i& b1, const __m128i& b0, const __m128i& a1, const __m128i& a0)
{
    __m128i c4, c5;
    __m128i x0=a0, x1=a1, y0=b0, y1=b1;

    F2N_Multiply_128x128_CLMUL(c1, c0, x0, y0);
    F2N_Multiply_128x128_CLMUL(c3, c2, x1, y1);

    x0 = _mm_xor_si128(x0, x1);
    y0 = _mm_xor_si128(y0, y1);

    F2N_Multiply_128x128_CLMUL(c5, c4, x0, y0);

    c4 = _mm_xor_si128(c4, c0);
    c4 = _mm_xor_si128(c4, c2);
    c5 = _mm_xor_si128(c5, c1);
    c5 = _mm_xor_si128(c5, c3);
    c1 = _mm_xor_si128(c1, c4);
    c2 = _mm_xor_si128(c2, c5);
}

// c3c2c1c0 = a1a0 * a1a0
inline void
F2N_Square_256_CLMUL(__m128i& c3, __m128i& c2, __m128i& c1,
    __m128i& c0, const __m128i& a1, const __m128i& a0)
{
    c0 = _mm_clmulepi64_si128(a0, a0, 0x00);
    c1 = _mm_clmulepi64_si128(a0, a0, 0x11);
    c2 = _mm_clmulepi64_si128(a1, a1, 0x00);
    c3 = _mm_clmulepi64_si128(a1, a1, 0x11);
}

// x = (x << n), z = 0
template <unsigned int N>
inline __m128i ShiftLeft128_SSE(__m128i x, const __m128i& z)
{
    __m128i u=x, v;
    x = _mm_slli_epi64(x, N);
    u = _mm_srli_epi64(u, (64-N));
    v = _mm_unpacklo_epi64(z, u);
    x = _mm_or_si128(x, v);
    return x;
}

// c1c0 = c3c2c1c0 MOD p. This is a Barrett reduction. Reading at
// Intel paper or https://github.com/antonblanchard/crc32-vpmsum.
inline void
GF2NT_233_Reduce_CLMUL(__m128i& c3, __m128i& c2, __m128i& c1, __m128i& c0)
{
    const unsigned int m[4] = {
        0xffffffff, 0xffffffff, 0xffffffff, 0x000001ff
    };

    __m128i b3, b2, b1, /*b0,*/ a1, a0, m0, z0;
    m0 = _mm_set_epi32(m[3], m[2], m[1], m[0]);
    z0 = _mm_setzero_si128();
    b1 = c1; a1 = c1;
    a0 = _mm_move_epi64(c1);
    a1 = _mm_slli_epi64(a1, 23);
    a1 = _mm_srli_epi64(a1, 23);
    c1 = _mm_or_si128(a1, a0);
    b2 = _mm_srli_epi64(c2, (64-23));
    c3 = ShiftLeft128_SSE<23>(c3, z0);
    a0 = _mm_unpackhi_epi64(b2, z0);
    c3 = _mm_or_si128(c3, a0);
    b1 = _mm_srli_epi64(b1, (64-23));
    c2 = ShiftLeft128_SSE<23>(c2, z0);
    a0 = _mm_unpackhi_epi64(b1, z0);
    c2 = _mm_or_si128(c2, a0);
    b3 = c3;
    b2 = _mm_srli_epi64(c2, (64-10));
    b3 = ShiftLeft128_SSE<10>(b3, z0);
    a0 = _mm_unpackhi_epi64(b2, z0);
    b3 = _mm_or_si128(b3, a0);
    a0 = _mm_unpackhi_epi64(c3, z0);
    b3 = _mm_xor_si128(b3, a0);
    b1 = _mm_srli_epi64(b3, (64-23));
    b3 = ShiftLeft128_SSE<23>(b3, z0);
    b3 = _mm_unpackhi_epi64(b3, z0);
    b3 = _mm_or_si128(b3, b1);
    c2 = _mm_xor_si128(c2, b3);
    b3 = c3;
    b2 = _mm_srli_epi64(c2, (64-10));
    b3 = ShiftLeft128_SSE<10>(b3, z0);
    b2 = _mm_unpackhi_epi64(b2, z0);
    b3 = _mm_or_si128(b3, b2);
    b2 = c2;
    b2 = ShiftLeft128_SSE<10>(b2, z0);
    a0 = _mm_unpacklo_epi64(z0, b2);
    c2 = _mm_xor_si128(c2, a0);
    a0 = _mm_unpacklo_epi64(z0, b3);
    a1 = _mm_unpackhi_epi64(b2, z0);
    a0 = _mm_or_si128(a0, a1);
    c3 = _mm_xor_si128(c3, a0);
    c0 = _mm_xor_si128(c0, c2);
    c1 = _mm_xor_si128(c1, c3);
    c1 = _mm_and_si128(c1, m0);
}

#endif

// ************************* Power8 ************************* //

#if (CRYPTOPP_POWER8_VMULL_AVAILABLE) && 0

using CryptoPP::byte;
using CryptoPP::word;
using CryptoPP::uint8x16_p;
using CryptoPP::uint64x2_p;

using CryptoPP::VecLoad;
using CryptoPP::VecStore;

using CryptoPP::VecOr;
using CryptoPP::VecXor;
using CryptoPP::VecAnd;

using CryptoPP::VecPermute;
using CryptoPP::VecMergeLow;
using CryptoPP::VecMergeHigh;
using CryptoPP::VecShiftLeft;
using CryptoPP::VecShiftRight;

using CryptoPP::VecIntelMultiply00;
using CryptoPP::VecIntelMultiply11;

// c1c0 = a * b
inline void
F2N_Multiply_128x128_POWER8(uint64x2_p& c1, uint64x2_p& c0, const uint64x2_p& a, const uint64x2_p& b)
{
    uint64x2_p t1, t2;
    const uint64x2_p z0={0};

    c0 = VecIntelMultiply00(a, b);
    c1 = VecIntelMultiply11(a, b);
    t1 = VecMergeLow(a, a);
    t1 = VecXor(a, t1);
    t2 = VecMergeLow(b, b);
    t2 = VecXor(b, t2);
    t1 = VecIntelMultiply00(t1, t2);
    t1 = VecXor(c0, t1);
    t1 = VecXor(c1, t1);
    t2 = t1;
    t1 = VecMergeHigh(z0, t1);
    t2 = VecMergeLow(t2, z0);
    c0 = VecXor(c0, t1);
    c1 = VecXor(c1, t2);
}

// c3c2c1c0 = a1a0 * b1b0
inline void
F2N_Multiply_256x256_POWER8(uint64x2_p& c3, uint64x2_p& c2, uint64x2_p& c1, uint64x2_p& c0,
    const uint64x2_p& b1, const uint64x2_p& b0, const uint64x2_p& a1, const uint64x2_p& a0)
{
    uint64x2_p c4, c5;
    uint64x2_p x0=a0, x1=a1, y0=b0, y1=b1;

    F2N_Multiply_128x128_POWER8(c1, c0, x0, y0);
    F2N_Multiply_128x128_POWER8(c3, c2, x1, y1);

    x0 = VecXor(x0, x1);
    y0 = VecXor(y0, y1);

    F2N_Multiply_128x128_POWER8(c5, c4, x0, y0);

    c4 = VecXor(c4, c0);
    c4 = VecXor(c4, c2);
    c5 = VecXor(c5, c1);
    c5 = VecXor(c5, c3);
    c1 = VecXor(c1, c4);
    c2 = VecXor(c2, c5);
}

// c3c2c1c0 = a1a0 * a1a0
inline void
F2N_Square_256_POWER8(uint64x2_p& c3, uint64x2_p& c2, uint64x2_p& c1,
    uint64x2_p& c0, const uint64x2_p& a1, const uint64x2_p& a0)
{
    c0 = VecIntelMultiply00(a0, a0);
    c1 = VecIntelMultiply11(a0, a0);
    c2 = VecIntelMultiply00(a1, a1);
    c3 = VecIntelMultiply11(a1, a1);
}

// x = (x << n), z = 0
template <unsigned int N>
inline uint64x2_p ShiftLeft128_POWER8(uint64x2_p x)
{
    uint64x2_p u=x, v;
    const uint64x2_p z={0};

    x = VecShiftLeft<N>(x);
    u = VecShiftRight<64-N>(u);
    v = VecMergeHigh(z, u);
    x = VecOr(x, v);
    return x;
}

// c1c0 = c3c2c1c0 MOD p. This is a Barrett reduction. Reading at
// Intel paper or https://github.com/antonblanchard/crc32-vpmsum.
inline void
GF2NT_233_Reduce_POWER8(uint64x2_p& c3, uint64x2_p& c2, uint64x2_p& c1, uint64x2_p& c0)
{
    const uint64_t mod[] = {W64LIT(0xffffffffffffffff), W64LIT(0x01ffffffffff)};
    const uint64x2_p m0 = (uint64x2_p)VecLoad(mod);

    uint64x2_p b3, b2, b1, /*b0,*/ a1, a0;
    const uint64x2_p z0={0};

    b1 = c1; a1 = c1;
    a0 = VecMergeHigh(c1, z0);
    a1 = VecShiftLeft<23>(a1);
    a1 = VecShiftRight<23>(a1);
    c1 = VecOr(a1, a0);
    b2 = VecShiftRight<64-23>(c2);
    c3 = ShiftLeft128_POWER8<23>(c3);
    a0 = VecMergeLow(b2, z0);
    c3 = VecOr(c3, a0);
    b1 = VecShiftRight<64-23>(b1);
    c2 = ShiftLeft128_POWER8<23>(c2);
    a0 = VecMergeLow(b1, z0);
    c2 = VecOr(c2, a0);
    b3 = c3;
    b2 = VecShiftRight<64-10>(c2);
    b3 = ShiftLeft128_POWER8<10>(b3);
    a0 = VecMergeLow(b2, z0);
    b3 = VecOr(b3, a0);
    a0 = VecMergeLow(c3, z0);
    b3 = VecXor(b3, a0);
    b1 = VecShiftRight<64-23>(b3);
    b3 = ShiftLeft128_POWER8<23>(b3);
    b3 = VecMergeLow(b3, z0);
    b3 = VecOr(b3, b1);
    c2 = VecXor(c2, b3);
    b3 = c3;
    b2 = VecShiftRight<64-10>(c2);
    b3 = ShiftLeft128_POWER8<10>(b3);
    b2 = VecMergeLow(b2, z0);
    b3 = VecOr(b3, b2);
    b2 = c2;
    b2 = ShiftLeft128_POWER8<10>(b2);
    a0 = VecMergeHigh(z0, b2);
    c2 = VecXor(c2, a0);
    a0 = VecMergeHigh(z0, b3);
    a1 = VecMergeLow(b2, z0);
    a0 = VecOr(a0, a1);
    c3 = VecXor(c3, a0);
    c0 = VecXor(c0, c2);
    c1 = VecXor(c1, c3);
    c1 = VecAnd(c1, m0);
}

#endif

ANONYMOUS_NAMESPACE_END

NAMESPACE_BEGIN(CryptoPP)

#if (CRYPTOPP_CLMUL_AVAILABLE)

void
GF2NT_233_Multiply_Reduce_CLMUL(const word* pA, const word* pB, word* pC)
{
    enum {S=sizeof(__m128i)/sizeof(word)};
    __m128i a0 = _mm_loadu_si128(reinterpret_cast<const __m128i*>(pA+0*S));
    __m128i a1 = _mm_loadu_si128(reinterpret_cast<const __m128i*>(pA+1*S));
    __m128i b0 = _mm_loadu_si128(reinterpret_cast<const __m128i*>(pB+0*S));
    __m128i b1 = _mm_loadu_si128(reinterpret_cast<const __m128i*>(pB+1*S));

    __m128i c0, c1, c2, c3;
    F2N_Multiply_256x256_CLMUL(c3, c2, c1, c0, a1, a0, b1, b0);
    GF2NT_233_Reduce_CLMUL(c3, c2, c1, c0);

    _mm_storeu_si128(reinterpret_cast<__m128i*>(pC+0*S), c0);
    _mm_storeu_si128(reinterpret_cast<__m128i*>(pC+1*S), c1);
}

void
GF2NT_233_Square_Reduce_CLMUL(const word* pA, word* pC)
{
    enum {S=sizeof(__m128i)/sizeof(word)};
    __m128i a0 = _mm_loadu_si128(reinterpret_cast<const __m128i*>(pA+0*S));
    __m128i a1 = _mm_loadu_si128(reinterpret_cast<const __m128i*>(pA+1*S));

    __m128i c0, c1, c2, c3;
    F2N_Square_256_CLMUL(c3, c2, c1, c0, a1, a0);
    GF2NT_233_Reduce_CLMUL(c3, c2, c1, c0);

    _mm_storeu_si128(reinterpret_cast<__m128i*>(pC+0*S), c0);
    _mm_storeu_si128(reinterpret_cast<__m128i*>(pC+1*S), c1);
}

#elif (CRYPTOPP_ARM_PMULL_AVAILABLE)

void
GF2NT_233_Multiply_Reduce_ARMv8(const word* pA, const word* pB, word* pC)
{
    // word is either 32-bit or 64-bit, depending on the platform.
    // Load using a 32-bit pointer to avoid possible alignment issues.
    const uint32_t* pAA = reinterpret_cast<const uint32_t*>(pA);
    const uint32_t* pBB = reinterpret_cast<const uint32_t*>(pB);

    uint64x2_t a0 = vreinterpretq_u64_u32(vld1q_u32(pAA+0));
    uint64x2_t a1 = vreinterpretq_u64_u32(vld1q_u32(pAA+4));
    uint64x2_t b0 = vreinterpretq_u64_u32(vld1q_u32(pBB+0));
    uint64x2_t b1 = vreinterpretq_u64_u32(vld1q_u32(pBB+4));

    uint64x2_t c0, c1, c2, c3;
    F2N_Multiply_256x256_ARMv8(c3, c2, c1, c0, a1, a0, b1, b0);
    GF2NT_233_Reduce_ARMv8(c3, c2, c1, c0);

    uint32_t* pCC = reinterpret_cast<uint32_t*>(pC);
    vst1q_u32(pCC+0, vreinterpretq_u32_u64(c0));
    vst1q_u32(pCC+4, vreinterpretq_u32_u64(c1));
}

void
GF2NT_233_Square_Reduce_ARMv8(const word* pA, word* pC)
{
    // word is either 32-bit or 64-bit, depending on the platform.
    // Load using a 32-bit pointer to avoid possible alignment issues.
    const uint32_t* pAA = reinterpret_cast<const uint32_t*>(pA);
    uint64x2_t a0 = vreinterpretq_u64_u32(vld1q_u32(pAA+0));
    uint64x2_t a1 = vreinterpretq_u64_u32(vld1q_u32(pAA+4));

    uint64x2_t c0, c1, c2, c3;
    F2N_Square_256_ARMv8(c3, c2, c1, c0, a1, a0);
    GF2NT_233_Reduce_ARMv8(c3, c2, c1, c0);

    uint32_t* pCC = reinterpret_cast<uint32_t*>(pC);
    vst1q_u32(pCC+0, vreinterpretq_u32_u64(c0));
    vst1q_u32(pCC+4, vreinterpretq_u32_u64(c1));
}

#elif (CRYPTOPP_POWER8_VMULL_AVAILABLE) && 0

void
GF2NT_233_Multiply_Reduce_POWER8(const word* pA, const word* pB, word* pC)
{
    // word is either 32-bit or 64-bit, depending on the platform.
    // Load using a byte pointer to avoid possible alignment issues.
    const byte* pAA = reinterpret_cast<const byte*>(pA);
    const byte* pBB = reinterpret_cast<const byte*>(pB);

    uint64x2_p a0 = (uint64x2_p)VecLoad(pAA+0);
    uint64x2_p a1 = (uint64x2_p)VecLoad(pAA+16);
    uint64x2_p b0 = (uint64x2_p)VecLoad(pBB+0);
    uint64x2_p b1 = (uint64x2_p)VecLoad(pBB+16);

#if (CRYPTOPP_BIG_ENDIAN)
    const uint8_t mb[] = {4,5,6,7, 0,1,2,3, 12,13,14,15, 8,9,10,11};
    const uint8x16_p m = (uint8x16_p)VecLoad(mb);
    a0 = VecPermute(a0, m);
    a1 = VecPermute(a1, m);
    b0 = VecPermute(b0, m);
    b1 = VecPermute(b1, m);
#endif

    uint64x2_p c0, c1, c2, c3;
    F2N_Multiply_256x256_POWER8(c3, c2, c1, c0, a1, a0, b1, b0);
    GF2NT_233_Reduce_POWER8(c3, c2, c1, c0);

#if (CRYPTOPP_BIG_ENDIAN)
    c0 = VecPermute(c0, m);
    c1 = VecPermute(c1, m);
#endif

    byte* pCC = reinterpret_cast<byte*>(pC);
    VecStore(c0, pCC+0);
    VecStore(c1, pCC+16);
}

void
GF2NT_233_Square_Reduce_POWER8(const word* pA, word* pC)
{
    // word is either 32-bit or 64-bit, depending on the platform.
    // Load using a byte pointer to avoid possible alignment issues.
    const byte* pAA = reinterpret_cast<const byte*>(pA);
    uint64x2_p a0 = (uint64x2_p)VecLoad(pAA+0);
    uint64x2_p a1 = (uint64x2_p)VecLoad(pAA+16);

#if (CRYPTOPP_BIG_ENDIAN)
    const uint8_t mb[] = {4,5,6,7, 0,1,2,3, 12,13,14,15, 8,9,10,11};
    const uint8x16_p m = (uint8x16_p)VecLoad(mb);
    a0 = VecPermute(a0, m);
    a1 = VecPermute(a1, m);
#endif

    uint64x2_p c0, c1, c2, c3;
    F2N_Square_256_POWER8(c3, c2, c1, c0, a1, a0);
    GF2NT_233_Reduce_POWER8(c3, c2, c1, c0);

#if (CRYPTOPP_BIG_ENDIAN)
    c0 = VecPermute(c0, m);
    c1 = VecPermute(c1, m);
#endif

    byte* pCC = reinterpret_cast<byte*>(pC);
    VecStore(c0, pCC+0);
    VecStore(c1, pCC+16);
}

#endif

NAMESPACE_END

#endif  // CRYPTOPP_IMPORTS