(x) x (y)のかけざんをかんがえて遊ぶ(プラマイ二乗法)(ベンチマークテスト)(影響最小化)


参考



https://qiita.com/caa45040/items/0cf494ce86ee734c1084


https://qiita.com/caa45040/items/e4993ef59b76baef6348


https://qiita.com/caa45040/items/9fd432b925938b540427


https://qiita.com/caa45040/items/42c037ff02171aabdafb


https://qiita.com/caa45040/items/dab2615c6acef3dd3716


https://qiita.com/caa45040/items/78d3b438ae2fea723f75

x 過去ログをみよ
x 参考をみよ
x 細かい間違いがいろいろあると思うが公式マニュアル参照の事


目的
いろいろな影響を最小にしてハードウェア乗算器と
「プラマイ二乗」乗算の速度違いを測定する。

アルメルのアセンブラのマニュアルによると
調べる限り

●8ビットインデックスリードが2サイクルから

●乗算が符号や長さの違いから16x16の16は、9サイクル

ハードウェア乗算器は、主に計算サイクル
「プラマイ二乗」は、主に2回(8ビットの為x2)のインデックスリード


図

![o_coq254.jpg](https://qiita-image-store.s3.ap-northeast-1.amazonaws.com/0/840352/e08d09a7-4fd4-21cd-2cfd-9b5fdb368985.jpeg)


結果は、ハードウェア乗算器が速い

![o_coq255.jpg](https://qiita-image-store.s3.ap-northeast-1.amazonaws.com/0/840352/72b885d8-31f7-9097-d94f-36d7e7071345.jpeg)

![o_coq256.jpg](https://qiita-image-store.s3.ap-northeast-1.amazonaws.com/0/840352/af5745ad-85ab-aa12-465b-4dc0f2e02796.jpeg)


プログラム


```c++


//kakezan_soft_UNO_1


//ヘッダー
#include <Arduino.h>
#include "randam_1.h"


unsigned int ni_no_nijyou[] = {
  0, 1, 4, 9, 16, 25, 36, 49,
  64, 81, 100, 121, 144, 169, 196, 225,
  256, 289, 324, 361, 400, 441, 484, 529,
  576, 625, 676, 729, 784, 841, 900, 961,
  1024, 1089, 1156, 1225, 1296, 1369, 1444, 1521,
  1600, 1681, 1764, 1849, 1936, 2025, 2116, 2209,
  2304, 2401, 2500, 2601, 2704, 2809, 2916, 3025,
  3136, 3249, 3364, 3481, 3600, 3721, 3844, 3969,
  4096, 4225, 4356, 4489, 4624, 4761, 4900, 5041,
  5184, 5329, 5476, 5625, 5776, 5929, 6084, 6241,
  6400, 6561, 6724, 6889, 7056, 7225, 7396, 7569,
  7744, 7921, 8100, 8281, 8464, 8649, 8836, 9025,
  9216, 9409, 9604, 9801, 10000, 10201, 10404, 10609,
  10816, 11025, 11236, 11449, 11664, 11881, 12100, 12321,
  12544, 12769, 12996, 13225, 13456, 13689, 13924, 14161,
  14400, 14641, 14884, 15129, 15376, 15625, 15876, 16129,
  16384, 16641, 16900, 17161, 17424, 17689, 17956, 18225,
  18496, 18769, 19044, 19321, 19600, 19881, 20164, 20449,
  20736, 21025, 21316, 21609, 21904, 22201, 22500, 22801,
  23104, 23409, 23716, 24025, 24336, 24649, 24964, 25281,
  25600, 25921, 26244, 26569, 26896, 27225, 27556, 27889,
  28224, 28561, 28900, 29241, 29584, 29929, 30276, 30625,
  30976, 31329, 31684, 32041, 32400, 32761, 33124, 33489,
  33856, 34225, 34596, 34969, 35344, 35721, 36100, 36481,
  36864, 37249, 37636, 38025, 38416, 38809, 39204, 39601,
  40000, 40401, 40804, 41209, 41616, 42025, 42436, 42849,
  43264, 43681, 44100, 44521, 44944, 45369, 45796, 46225,
  46656, 47089, 47524, 47961, 48400, 48841, 49284, 49729,
  50176, 50625, 51076, 51529, 51984, 52441, 52900, 53361,
  53824, 54289, 54756, 55225, 55696, 56169, 56644, 57121,
  57600, 58081, 58564, 59049, 59536, 60025, 60516, 61009,
  61504, 62001, 62500, 63001, 63504, 64009, 64516, 65025,
  65536
};


void setup() {
  //シリアルポートの初期化
  Serial.begin(9600);

  Serial.println();
  Serial.print("START");
  Serial.println();
}//setup


int pp = 0;

void loop() {

  unsigned long time;

  int q = 0;
  int a, b, c;
  int p7, p8, p9, p10, p11, p12;

  Serial.print("TIME");

  time = millis();

  for (char ii = 127; ii != 0; ii--) {
    pp = 0;
    for (char jj = 127; jj != 0; jj--) {

      a = pgm_read_byte_near(r_t + (pp)) & 0x7f; pp++;
      b = pgm_read_byte_near(r_t + (pp)) & 0x7f; pp++;
      c = pgm_read_byte_near(r_t + (pp)) & 0x7f; pp++;
      if ( pp > 3000) {
        pp = 0;
      }

      //1回戦
      ///p7 =( a * b ) & 0x7f;
      p7 =( (ni_no_nijyou[a+b] - ni_no_nijyou[abs(a-b)]) >> 2  ) & 0x7f;
      ///p8 =( a * c ) & 0x7f;
      p8 =( (ni_no_nijyou[a+c] - ni_no_nijyou[abs(a-c)]) >> 2  ) & 0x7f;

      ///p9 =( b * c ) & 0x7f;
      p9 =( (ni_no_nijyou[b+c] - ni_no_nijyou[abs(b-c)]) >> 2  ) & 0x7f;
      ///p10 =( b * a ) & 0x7f;
      p10 =( (ni_no_nijyou[b+a] - ni_no_nijyou[abs(b-a)]) >> 2  ) & 0x7f;

      ///p11 =( a * c ) & 0x7f;
      p11 =( (ni_no_nijyou[a+c] - ni_no_nijyou[abs(a-c)]) >> 2  ) & 0x7f;
      ///p12 =( b * c ) & 0x7f;
      p12 =( (ni_no_nijyou[b+c] - ni_no_nijyou[abs(b-c)]) >> 2  ) & 0x7f;

      //2回戦

      ///p7 =( p7 * p8 ) & 0x7f;
      p7 =( (ni_no_nijyou[p7+p8] - ni_no_nijyou[abs(p7-p8)]) >> 2  ) & 0x7f;
      ///p9 =( p9 * p10 ) & 0x7f;
      p9 =( (ni_no_nijyou[p9+p10] - ni_no_nijyou[abs(p9-p10)]) >> 2  ) & 0x7f;
      ///p11 =( p11 * p12 ) & 0x7f;
      p11 =( (ni_no_nijyou[p11+p12] - ni_no_nijyou[abs(p11-p12)]) >> 2  ) & 0x7f;

      //3回戦

      ///p7 =( p7 * p9 ) & 0x7f;
      p7 =( (ni_no_nijyou[p7+p9] - ni_no_nijyou[abs(p7-p9)]) >> 2  ) & 0x7f;
      ///p11 =( p11 * p9 ) & 0x7f;
      p11 =( (ni_no_nijyou[p11+p9] - ni_no_nijyou[abs(p11-p9)]) >> 2  ) & 0x7f;

      //4回戦
      ///p7 =( p7 * p11 ) & 0x7f;
      p7 =( (ni_no_nijyou[p7+p11] - ni_no_nijyou[abs(p7-p11)]) >> 2  ) & 0x7f;

      //p7 = a;

      if (p7 > 64) {
        q++;
      }

    }//for jj
  }//for ii

  time = millis() - time;

  Serial.print((int)time);
  Serial.print("mS");
  Serial.print("  ");
  Serial.println(q);

  delay(2000); //2秒待つ debug

}//loop


```

randam_1.h


```


//aa

const char r_t[] PROGMEM ={

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0x70,0xe9,0x3e,0xa1,0x41,0xe1,0xfc,0x67,0x3e,0x01,0x7e,0x97,0xea,0xdc,0x6b,0x96,0x8f,0x38,0x5c,0x2a,0xec,0xb0,0x3b,0xfb,0x32,0xaf,0x3c,0x54,0xec,0x18,0xdb,0x5c,0x02,0x1a,0xfe,0x43,0xfb,0xfa,0xaa,0x3a,0xfb,0x29,0xd1,0xe6,0x05,0x3c,0x7c,0x94,0x75,0xd8,0xbe,0x61,0x89,0xf9,0x5c,0xbb,0xa8,0x99,0x0f,0x95,0xb1,0xeb,0xf1,0xb3,
0x05,0xef,0xf7,0x00,0xe9,0xa1,0x3a,0xe5,0xca,0x0b,0xcb,0xd0,0x48,0x47,0x64,0xbd,0x1f,0x23,0x1e,0xa8,0x1c,0x7b,0x64,0xc5,0x14,0x73,0x5a,0xc5,0x5e,0x4b,0x79,0x63,0x3b,0x70,0x64,0x24,0x11,0x9e,0x09,0xdc,0xaa,0xd4,0xac,0xf2,0x1b,0x10,0xaf,0x3b,0x33,0xcd,0xe3,0x50,0x48,0x47,0x15,0x5c,0xbb,0x6f,0x22,0x19,0xba,0x9b,0x7d,0xf5,
0x0b,0xe1,0x1a,0x1c,0x7f,0x23,0xf8,0x29,0xf8,0xa4,0x1b,0x13,0xb5,0xca,0x4e,0xe8,0x98,0x32,0x38,0xe0,0x79,0x4d,0x3d,0x34,0xbc,0x5f,0x4e,0x77,0xfa,0xcb,0x6c,0x05,0xac,0x86,0x21,0x2b,0xaa,0x1a,0x55,0xa2,0xbe,0x70,0xb5,0x73,0x3b,0x04,0x5c,0xd3,0x36,0x94,0xb3,0xaf,0xe2,0xf0,0xe4,0x9e,0x4f,0x32,0x15,0x49,0xfd,0x82,0x4e,0xa9,
0x08,0x70,0xd4,0xb2,0x8a,0x29,0x54,0x48,0x9a,0x0a,0xbc,0xd5,0x0e,0x18,0xa8,0x44,0xac,0x5b,0xf3,0x8e,0x4c,0xd7,0x2d,0x9b,0x09,0x42,0xe5,0x06,0xc4,0x33,0xaf,0xcd,0xa3,0x84,0x7f,0x2d,0xad,0xd4,0x76,0x47,0xde,0x32,0x1c,0xec,0x4a,0xc4,0x30,0xf6,0x20,0x23,0x85,0x6c,0xfb,0xb2,0x07,0x04,0xf4,0xec,0x0b,0xb9,0x20,0xba,0x86,0xc3,
0x3e,0x05,0xf1,0xec,0xd9,0x67,0x33,0xb7,0x99,0x50,0xa3,0xe3,0x14,0xd3,0xd9,0x34,0xf7,0x5e,0xa0,0xf2,0x10,0xa8,0xf6,0x05,0x94,0x01,0xbe,0xb4,0xbc,0x44,0x78,0xfa,0x49,0x69,0xe6,0x23,0xd0,0x1a,0xda,0x69,0x6a,0x7e,0x4c,0x7e,0x51,0x25,0xb3,0x48,0x84,0x53,0x3a,0x94,0xfb,0x31,0x99,0x90,0x32,0x57,0x44,0xee,0x9b,0xbc,0xe9,0xe5,
0x25,0xcf,0x08,0xf5,0xe9,0xe2,0x5e,0x53,0x60,0xaa,0xd2,0xb2,0xd0,0x85,0xfa,0x54,0xd8,0x35,0xe8,0xd4,0x66,0x82,0x64,0x98,0xd9,0xa8,0x87,0x75,0x65,0x70,0x5a,0x8a,0x3f,0x62,0x80,0x29,0x44,0xde,0x7c,0xa5,0x89,0x4e,0x57,0x59,0xd3,0x51,0xad,0xac,0x86,0x95,0x80,0xec,0x17,0xe4,0x85,0xf1,0x8c,0x0c,0x66,0xf1,0x7c,0xc0,0x7c,0xbb,
0x22,0xfc,0xe4,0x66,0xda,0x61,0x0b,0x63,0xaf,0x62,0xbc,0x83,0xb4,0x69,0x2f,0x3a,0xff,0xaf,0x27,0x16,0x93,0xac,0x07,0x1f,0xb8,0x6d,0x11,0x34,0x2d,0x8d,0xef,0x4f,0x89,0xd4,0xb6,0x63,0x35,0xc1,0xc7,0xe4,0x24,0x83,0x67,0xd8,0xed,0x96,0x12,0xec,0x45,0x39,0x02,0xd8,0xe5,0x0a,0xf8,0x9d,0x77,0x09,0xd1,0xa5,0x96,0xc1,0xf4,0x1f,
0x95,0xaa,0x82,0xca,0x6c,0x49,0xae,0x90,0xcd,0x16,0x68,0xba,0xac,0x7a,0xa6,0xf2,0xb4,0xa8,0xca,0x99,0xb2,0xc2,0x37,0x2a,0xcb,0x08,0xcf,0x61,0xc9,0xc3,0x80,0x5e,0x6e,0x03,0x28,0xda,0x4c,0xd7,0x6a,0x19,0xed,0xd2,0xd3,0x99,0x4c,0x79,0x8b,0x00,0x22,0x56,0x9a,0xd4,0x18,0xd1,0xfe,0xe4,0xd9,0xcd,0x45,0xa3,0x91,0xc6,0x01,0xff,
0xc9,0x2a,0xd9,0x15,0x01,0x43,0x2f,0xee,0x15,0x02,0x87,0x61,0x7c,0x13,0x62,0x9e,0x69,0xfc,0x72,0x81,0xcd,0x71,0x65,0xa6,0x3e,0xab,0x49,0xcf,0x71,0x4b,0xce,0x3a,0x75,0xa7,0x4f,0x76,0xea,0x7e,0x64,0xff,0x81,0xeb,0x61,0xfd,0xfe,0xc3,0x9b,0x67,0xbf,0x0d,0xe9,0x8c,0x7e,0x4e,0x32,0xbd,0xf9,0x7c,0x8c,0x6a,0xc7,0x5b,0xa4,0x3c,
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};


```