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  1. // Copyright 2017 Olivier Gillet.
  2. //
  3. // Author: Olivier Gillet (ol.gillet@gmail.com)
  4. //
  5. // Permission is hereby granted, free of charge, to any person obtaining a copy
  6. // of this software and associated documentation files (the "Software"), to deal
  7. // in the Software without restriction, including without limitation the rights
  8. // to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
  9. // copies of the Software, and to permit persons to whom the Software is
  10. // furnished to do so, subject to the following conditions:
  11. //
  12. // The above copyright notice and this permission notice shall be included in
  13. // all copies or substantial portions of the Software.
  14. //
  15. // THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
  16. // IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
  17. // FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
  18. // AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
  19. // LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
  20. // OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
  21. // THE SOFTWARE.
  22. //
  23. // See http://creativecommons.org/licenses/MIT/ for more information.
  24. //
  25. // -----------------------------------------------------------------------------
  26. //
  27. // Polynomial approximation of band-limited step for band-limited waveform
  28. // synthesis.
  29. #ifndef STMLIB_DSP_POLYBLEP_H_
  30. #define STMLIB_DSP_POLYBLEP_H_
  31. #include "stmlib/stmlib.h"
  32. namespace stmlib {
  33. inline float ThisBlepSample(float t) {
  34. return 0.5f * t * t;
  35. }
  36. inline float NextBlepSample(float t) {
  37. t = 1.0f - t;
  38. return -0.5f * t * t;
  39. }
  40. inline float NextIntegratedBlepSample(float t) {
  41. const float t1 = 0.5f * t;
  42. const float t2 = t1 * t1;
  43. const float t4 = t2 * t2;
  44. return 0.1875f - t1 + 1.5f * t2 - t4;
  45. }
  46. inline float ThisIntegratedBlepSample(float t) {
  47. return NextIntegratedBlepSample(1.0f - t);
  48. }
  49. } // namespace stmlib
  50. #endif // STMLIB_DSP_POLYBLEP_H_