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  1. /*
  2. * Functions.c
  3. *
  4. * Created on: 23.07.2018
  5. * Author: ed
  6. */
  7. #include "Functions.h"
  8. int32_t tmc_limitInt(int32_t value, int32_t min, int32_t max)
  9. {
  10. if (value > max)
  11. return max;
  12. else if (value < min)
  13. return min;
  14. else
  15. return value;
  16. }
  17. int64_t tmc_limitS64(int64_t value, int64_t min, int64_t max)
  18. {
  19. if (value > max)
  20. return max;
  21. else if (value < min)
  22. return min;
  23. else
  24. return value;
  25. }
  26. /* lookup table for square root function */
  27. static const unsigned char sqrttable[256] =
  28. {
  29. 0, 16, 22, 27, 32, 35, 39, 42, 45, 48, 50, 53, 55, 57, 59, 61,
  30. 64, 65, 67, 69, 71, 73, 75, 76, 78, 80, 81, 83, 84, 86, 87, 89,
  31. 90, 91, 93, 94, 96, 97, 98, 99, 101, 102, 103, 104, 106, 107, 108, 109,
  32. 110, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126,
  33. 128, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142,
  34. 143, 144, 144, 145, 146, 147, 148, 149, 150, 150, 151, 152, 153, 154, 155, 155,
  35. 156, 157, 158, 159, 160, 160, 161, 162, 163, 163, 164, 165, 166, 167, 167, 168,
  36. 169, 170, 170, 171, 172, 173, 173, 174, 175, 176, 176, 177, 178, 178, 179, 180,
  37. 181, 181, 182, 183, 183, 184, 185, 185, 186, 187, 187, 188, 189, 189, 190, 191,
  38. 192, 192, 193, 193, 194, 195, 195, 196, 197, 197, 198, 199, 199, 200, 201, 201,
  39. 202, 203, 203, 204, 204, 205, 206, 206, 207, 208, 208, 209, 209, 210, 211, 211,
  40. 212, 212, 213, 214, 214, 215, 215, 216, 217, 217, 218, 218, 219, 219, 220, 221,
  41. 221, 222, 222, 223, 224, 224, 225, 225, 226, 226, 227, 227, 228, 229, 229, 230,
  42. 230, 231, 231, 232, 232, 233, 234, 234, 235, 235, 236, 236, 237, 237, 238, 238,
  43. 239, 240, 240, 241, 241, 242, 242, 243, 243, 244, 244, 245, 245, 246, 246, 247,
  44. 247, 248, 248, 249, 249, 250, 250, 251, 251, 252, 252, 253, 253, 254, 254, 255
  45. };
  46. int32_t tmc_sqrti(int32_t x)
  47. {
  48. int32_t xn;
  49. // Negative parameter?
  50. if (x < 0)
  51. return -1;
  52. if (x < 0x0100)
  53. return (int) sqrttable[x] >> 4;
  54. if (x >= 0x00010000)
  55. {
  56. if (x >= 0x01000000)
  57. {
  58. if (x >= 0x10000000)
  59. {
  60. if (x >= 0x40000000)
  61. {
  62. // 0x40000000 <= x < 0x7FFFFFFF
  63. xn = (int) sqrttable[x >> 24] << 8;
  64. }
  65. else
  66. {
  67. // 0x10000000 <= x < 0x40000000
  68. xn = (int) sqrttable[x >> 22] << 7;
  69. }
  70. }
  71. else
  72. {
  73. if (x >= 0x04000000)
  74. {
  75. // 0x04000000 <= x < 0x10000000
  76. xn = (int) sqrttable[x >> 20] << 6;
  77. }
  78. else
  79. {
  80. // 0x01000000 <= x < 0x04000000
  81. xn = (int) sqrttable[x >> 18] << 5;
  82. }
  83. }
  84. // Two steps of the babylonian method
  85. xn = (xn + 1 + (x / xn)) >> 1;
  86. xn = (xn + 1 + (x / xn)) >> 1;
  87. }
  88. else
  89. {
  90. if (x >= 0x00100000)
  91. {
  92. if (x >= 0x00400000)
  93. {
  94. // 0x00400000 <= x < 0x01000000
  95. xn = (int) sqrttable[x >> 16] << 4;
  96. }
  97. else
  98. {
  99. // 0x00100000 <= x < 0x00400000
  100. xn = (int) sqrttable[x >> 14] << 3;
  101. }
  102. }
  103. else
  104. {
  105. if (x >= 0x00040000)
  106. {
  107. // 0x00040000 <= x < 0x00100000
  108. xn = (int) sqrttable[x >> 12] << 2;
  109. }
  110. else
  111. {
  112. // 0x00010000 <= x < 0x00040000
  113. xn = (int) sqrttable[x >> 10] << 1;
  114. }
  115. }
  116. // One step of the babylonian method
  117. xn = (xn + 1 + (x / xn)) >> 1;
  118. }
  119. }
  120. else
  121. {
  122. if (x >= 0x1000)
  123. {
  124. if (x >= 0x4000)
  125. {
  126. // 0x4000 <= x < 0x00010000
  127. xn = (int) (sqrttable[x >> 8] ) + 1;
  128. }
  129. else
  130. {
  131. // 0x1000 <= x < 0x4000
  132. xn = (int) (sqrttable[x >> 6] >> 1) + 1;
  133. }
  134. }
  135. else
  136. {
  137. if (x >= 0x0400)
  138. {
  139. // 0x0400 <= x < 0x1000
  140. xn = (int) (sqrttable[x >> 4] >> 2) + 1;
  141. }
  142. else
  143. {
  144. // 0x0100 <= x < 0x0400
  145. xn = (int) (sqrttable[x >> 2] >> 3) + 1;
  146. }
  147. }
  148. }
  149. // Make sure that our result is floored
  150. if ((xn * xn) > x)
  151. xn--;
  152. return xn;
  153. }
  154. int32_t tmc_filterPT1(int64_t *akku, int32_t newValue, int32_t lastValue, uint8_t actualFilter, uint8_t maxFilter)
  155. {
  156. *akku += (newValue-lastValue) << (maxFilter-actualFilter);
  157. return *akku >> maxFilter;
  158. }