Changeset 110f69c in sasmodels for sasmodels/special.py
- Timestamp:
- Nov 28, 2017 1:17:57 PM (6 years ago)
- Branches:
- master, core_shell_microgels, magnetic_model, ticket-1257-vesicle-product, ticket_1156, ticket_1265_superball, ticket_822_more_unit_tests
- Children:
- e65c3ba
- Parents:
- 167d0f1
- File:
-
- 1 edited
Legend:
- Unmodified
- Added
- Removed
-
sasmodels/special.py
r706f466 r110f69c 105 105 106 106 p1evl(x, c, n): 107 Evaluat ion ofnormalized polynomial $p(x) = x^n + \sum_{i=0}^{n-1} c_i x^i$107 Evaluate normalized polynomial $p(x) = x^n + \sum_{i=0}^{n-1} c_i x^i$ 108 108 using Horner's method so it is faster and more accurate. 109 109 … … 155 155 .. math:: 156 156 157 \text{Si}(x) \sim \frac{\pi}{2} 158 - \frac{\cos(x)}{x}\left(1 - \frac{2!}{x^2} + \frac{4!}{x^4} - \frac{6!}{x^6} \right) 159 - \frac{\sin(x)}{x}\left(\frac{1}{x} - \frac{3!}{x^3} + \frac{5!}{x^5} - \frac{7!}{x^7}\right) 157 \text{Si}(x) \sim \frac{\pi}{2} 158 - \frac{\cos(x)}{x} 159 \left(1 - \frac{2!}{x^2} + \frac{4!}{x^4} - \frac{6!}{x^6} \right) 160 - \frac{\sin(x)}{x} 161 \left(\frac{1}{x} - \frac{3!}{x^3} + \frac{5!}{x^5} - \frac{7!}{x^7}\right) 160 162 161 163 For small arguments, … … 207 209 # erf, erfc, tgamma, lgamma **do not use** 208 210 209 # Rotations of q210 def ORIENT_SYMMETRIC(qx, qy, theta, phi):211 q = sqrt(qx*qx + qy*qy)212 q = sqrt(qx*qx + qy*qy)213 sin_phi, cos_phi = sin(radians(phi)), cos(radians(phi))214 cn = (cn*qx + sn*qy)/q * sin(radians(theta))215 cn[q==0.] = 1.216 sn = sqrt(1 - cn**2)217 return q, cn, sn218 219 def ORIENT_ASYMMETRIC(qx, qy, theta, phi, psi):220 q = sqrt(qx*qx + qy*qy)221 qxhat = qx/q222 qyhat = qy/q223 sin_theta, cos_theta = sin(radians(theta)), cos(radians(theta))224 sin_phi, cos_phi = sin(radians(phi)), cos(radians(phi))225 sin_psi, cos_psi = sin(radians(psi)), cos(radians(psi))226 227 xhat = (qxhat*(-sin_phi*sin_psi + cos_theta*cos_phi*cos_psi)228 + qyhat*( cos_phi*sin_psi + cos_theta*sin_phi*cos_psi))229 yhat = (qxhat*(-sin_phi*cos_psi - cos_theta*cos_phi*sin_psi)230 + qyhat*( cos_phi*cos_psi - cos_theta*sin_phi*sin_psi))231 zhat = (qxhat*(-sin_theta*cos_phi)232 + qyhat*(-sin_theta*sin_phi))233 return q, xhat, yhat, zhat234 235 236 211 # non-standard constants and functions 237 238 212 M_PI_180, M_4PI_3 = M_PI/180, 4*M_PI/3 239 213 … … 262 236 from scipy.special import jn as sas_JN 263 237 264 # missing sas_Si265 238 def sas_Si(x): 266 239 return scipy.special.sici(x)[0] … … 289 262 with np.errstate(all='ignore'): 290 263 retvalue = 2*sas_J1(x)/x 291 retvalue[x ==0] = 1.264 retvalue[x == 0] = 1. 292 265 return retvalue 293 266 … … 500 473 501 474 Gauss150Z = np.array([ 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528 529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544 545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560 561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576 577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592 593 594 595 596 597 598 599 600 601 602 603 604 605 606 607 608 609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624 625 626 627 628 629 630 631 632 633 634 635 636 637 638 639 640 641 642 643 644 645 646 647 648 649 650 651 475 -0.9998723404457334, 476 -0.9993274305065947, 477 -0.9983473449340834, 478 -0.9969322929775997, 479 -0.9950828645255290, 480 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