asec.js 1.5 KB

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  1. "use strict";
  2. Object.defineProperty(exports, "__esModule", {
  3. value: true
  4. });
  5. exports.createAsec = void 0;
  6. var _factory = require("../../utils/factory.js");
  7. var _index = require("../../plain/number/index.js");
  8. var name = 'asec';
  9. var dependencies = ['typed', 'config', 'Complex', 'BigNumber'];
  10. var createAsec = /* #__PURE__ */(0, _factory.factory)(name, dependencies, function (_ref) {
  11. var typed = _ref.typed,
  12. config = _ref.config,
  13. Complex = _ref.Complex,
  14. _BigNumber = _ref.BigNumber;
  15. /**
  16. * Calculate the inverse secant of a value. Defined as `asec(x) = acos(1/x)`.
  17. *
  18. * To avoid confusion with the matrix arcsecant, this function does not
  19. * apply to matrices.
  20. *
  21. * Syntax:
  22. *
  23. * math.asec(x)
  24. *
  25. * Examples:
  26. *
  27. * math.asec(2) // returns 1.0471975511965979
  28. * math.asec(math.sec(1.5)) // returns 1.5
  29. *
  30. * math.asec(0.5) // returns Complex 0 + 1.3169578969248166i
  31. *
  32. * See also:
  33. *
  34. * acos, acot, acsc
  35. *
  36. * @param {number | BigNumber | Complex} x Function input
  37. * @return {number | BigNumber | Complex} The arc secant of x
  38. */
  39. return typed(name, {
  40. number: function number(x) {
  41. if (x <= -1 || x >= 1 || config.predictable) {
  42. return (0, _index.asecNumber)(x);
  43. }
  44. return new Complex(x, 0).asec();
  45. },
  46. Complex: function Complex(x) {
  47. return x.asec();
  48. },
  49. BigNumber: function BigNumber(x) {
  50. return new _BigNumber(1).div(x).acos();
  51. }
  52. });
  53. });
  54. exports.createAsec = createAsec;