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This commit is contained in:
@@ -0,0 +1,197 @@
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from pathlib import Path
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import numpy as np
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# From https://en.wikipedia.org/wiki/Paley_construction (construction II for q = 5)
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had_12_paley = """
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+-++++++++++
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--+-+-+-+-+-
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+++-++----++
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+---+--+-++-
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+++++-++----
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+-+---+--+-+
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++--+++-++--
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+--++---+--+
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++----+++-++
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+--+-++---+-
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++++----+++-
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+-+--+-++---
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"""
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# From http://neilsloane.com/hadamard/
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had_12 = """
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+-----------
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++-+---+++-+
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+++-+---+++-
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+-++-+---+++
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++-++-+---++
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+++-++-+---+
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++++-++-+---
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+-+++-++-+--
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+--+++-++-+-
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+---+++-++-+
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++---+++-++-
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+-+---+++-++
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"""
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had_20_will = """
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+----+----++--++-++-
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-+----+---+++---+-++
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--+----+---+++-+-+-+
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---+----+---+++++-+-
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----+----++--++-++-+
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-+++++-----+--+++--+
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+-+++-+---+-+--+++--
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++-++--+---+-+--+++-
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+++-+---+---+-+--+++
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++++-----++--+-+--++
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--++-+-++-+-----++++
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---++-+-++-+---+-+++
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+---++-+-+--+--++-++
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++---++-+----+-+++-+
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-++---++-+----+++++-
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-+--+--++-+----+----
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+-+-----++-+----+---
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-+-+-+---+--+----+--
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--+-+++------+----+-
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+--+--++------+----+
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"""
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had_28_will = """
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+------++----++-+--+-+--++--
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-+-----+++-----+-+--+-+--++-
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--+-----+++---+-+-+----+--++
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---+-----+++---+-+-+-+--+--+
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----+-----+++---+-+-+++--+--
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-----+-----++++--+-+--++--+-
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------++----++-+--+-+--++--+
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--++++-+-------++--+++-+--+-
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---++++-+-----+-++--+-+-+--+
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+---+++--+----++-++--+-+-+--
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++---++---+----++-++--+-+-+-
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+++---+----+----++-++--+-+-+
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++++--------+-+--++-++--+-+-
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-++++--------+++--++--+--+-+
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-+-++-++--++--+--------++++-
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+-+-++--+--++--+--------++++
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-+-+-++--+--++--+----+---+++
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+-+-+-++--+--+---+---++---++
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++-+-+-++--+------+--+++---+
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-++-+-+-++--+------+-++++---
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+-++-+---++--+------+-++++--
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-++--++-+-++-+++----++------
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+-++--++-+-++-+++-----+-----
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++-++---+-+-++-+++-----+----
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-++-++-+-+-+-+--+++-----+---
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--++-++++-+-+----+++-----+--
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+--++-+-++-+-+----+++-----+-
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++--++-+-++-+-+----++------+
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"""
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had_40_tpal = """
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+-------------------+-------------------
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++-++----+-+-++++--+++-++----+-+-++++--+
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+++-++----+-+-++++--+++-++----+-+-++++--
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+-++-++----+-+-++++-+-++-++----+-+-++++-
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+--++-++----+-+-+++++--++-++----+-+-++++
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++--++-++----+-+-+++++--++-++----+-+-+++
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+++--++-++----+-+-+++++--++-++----+-+-++
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++++--++-++----+-+-+++++--++-++----+-+-+
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+++++--++-++----+-+-+++++--++-++----+-+-
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+-++++--++-++----+-++-++++--++-++----+-+
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++-++++--++-++----+-++-++++--++-++----+-
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+-+-++++--++-++----++-+-++++--++-++----+
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++-+-++++--++-++----++-+-++++--++-++----
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+-+-+-++++--++-++---+-+-+-++++--++-++---
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+--+-+-++++--++-++--+--+-+-++++--++-++--
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+---+-+-++++--++-++-+---+-+-++++--++-++-
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+----+-+-++++--++-+++----+-+-++++--++-++
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++----+-+-++++--++-+++----+-+-++++--++-+
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+++----+-+-++++--++-+++----+-+-++++--++-
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+-++----+-+-++++--+++-++----+-+-++++--++
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+--------------------+++++++++++++++++++
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++-++----+-+-++++--+--+--++++-+-+----++-
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+++-++----+-+-++++-----+--++++-+-+----++
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+-++-++----+-+-++++--+--+--++++-+-+----+
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+--++-++----+-+-++++-++--+--++++-+-+----
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++--++-++----+-+-+++--++--+--++++-+-+---
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+++--++-++----+-+-++---++--+--++++-+-+--
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++++--++-++----+-+-+----++--+--++++-+-+-
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+++++--++-++----+-+------++--+--++++-+-+
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+-++++--++-++----+-+-+----++--+--++++-+-
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++-++++--++-++----+---+----++--+--++++-+
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+-+-++++--++-++----+-+-+----++--+--++++-
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++-+-++++--++-++------+-+----++--+--++++
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+-+-+-++++--++-++----+-+-+----++--+--+++
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+--+-+-++++--++-++---++-+-+----++--+--++
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+---+-+-++++--++-++--+++-+-+----++--+--+
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+----+-+-++++--++-++-++++-+-+----++--+--
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++----+-+-++++--++-+--++++-+-+----++--+-
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+++----+-+-++++--++----++++-+-+----++--+
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+-++----+-+-++++--++-+--++++-+-+----++--
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"""
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header = """
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/******************************************************************************
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* Copyright (c) 2023, Tri Dao.
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******************************************************************************/
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// This file is auto-generated. See "code_gen.py"\n
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#pragma once
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"""
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template = """
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__device__ __forceinline__ void hadamard_mult_thread_{N}(float x[{N}]) {
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float out[{N}];
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{code}
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#pragma unroll
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for (int i = 0; i < {N}; i++) { x[i] = out[i]; }
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}
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"""
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def string_to_array(string):
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# Convert strings of + and - to bool arrays
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string = string.strip().replace("+", "1").replace("-", "-1").split()
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return np.stack(
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[
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np.fromstring(" ".join(string[i]), dtype=np.int32, sep=" ")
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for i in range(len(string))
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]
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)
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def array_code_gen(arr):
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N = arr.shape[0]
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assert arr.shape[0] == arr.shape[1]
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out = []
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for i in range(N):
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out.append(
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f"out[{i}] = "
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+ " ".join([f"{'+' if arr[i, j] == 1 else '-'} x[{j}]" for j in range(N)])
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+ ";"
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)
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return template.replace("{N}", str(N)).replace("{code}", "\n ".join(out))
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def main():
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output_dir = Path(__file__).parent / "fast_hadamard_transform_special.h"
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output_dir.write_text(
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header
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+ array_code_gen(string_to_array(had_12_paley))
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+ array_code_gen(string_to_array(had_20_will))
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+ array_code_gen(string_to_array(had_28_will))
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+ array_code_gen(string_to_array(had_40_tpal))
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)
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if __name__ == "__main__":
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main()
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