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// Note: internally, all computations are done in feet. Converted to meters // as needed for display. var mm_2_feet = 1/304.8; var feet_2_mm = 304.8; function compute_dof() { var f = document.dof_calculator; var dist = f.dist.value; if (f.units.value.search(/meters/i) != -1) dist = dist * 1000 * mm_2_feet; var coc_mm = f.coc.value; var coc = coc_mm * mm_2_feet; var flen_mm = f.flen.value; var flen = flen_mm * mm_2_feet; var aperture = f.aperture.value; if (isNaN(flen_mm) || isNaN(coc_mm) || isNaN(dist) || isNaN(aperture)) { alert("Error: At least one of the input fields contains non-numeric characters"); return; } // Depth of field formula from: // "Focal Encylopedia of Photography", Macmillan Company, New York, 1960 var tmp = (aperture*coc*(dist-flen))/(flen*flen); var dist_far = (tmp>=1) ? "inf" : dist / (1 - tmp); var dist_near = dist / (1 + tmp); var depth_of_field = (tmp<1) ? (dist_far - dist_near) : "inf"; var hyper_focal = (flen*flen)/(aperture*coc); var depth_of_focus = (flen*flen*dist)/(hyper_focal*(dist-flen)); //airy_disk_diam = 2.43932 x light_wave_length x fnum var airy_disk_diam = 2.43932 * (550 * .000001) * aperture; if (f.units.value.search(/feet/i) != -1) { f.near_dist.value = feet_inches(dist_near); f.far_dist.value = feet_inches(dist_far); f.depth_of_field.value = feet_inches(depth_of_field); f.depth_of_focus.value = dec4(depth_of_focus*12) + "\""; f.hyper_dist.value = feet_inches(hyper_focal); } else { f.near_dist.value = meters(dist_near); f.far_dist.value = meters(dist_far); f.depth_of_field.value = meters(depth_of_field); f.depth_of_focus.value = dec4((feet_2_mm * depth_of_focus)/10) + "cm"; f.hyper_dist.value = meters(hyper_focal); } f.airy_disk_diameter.value = dec3(airy_disk_diam); } //Takes a distance in feet and converts to string representation in meters/cm function meters(aNumber) { if (isNaN(aNumber)) return aNumber; var mm = aNumber * feet_2_mm; var m = Math.floor(mm/1000); var cm = dec2((mm/10) % 100); return m + "m " + cm + "cm"; } //Takes a distance in feet and converts to string representation in feet/inches function feet_inches(aNumber) { if (isNaN(aNumber)) return aNumber; var feet = Math.floor(aNumber); var inches = dec1((aNumber%1) * 12) return (feet + "' " + inches + "\""); } function dec1(aNumber) {return (rnd(aNumber,1));} function dec2(aNumber) {return (rnd(aNumber,2));} function dec3(aNumber) {return (rnd(aNumber,3));} function dec4(aNumber) {return (rnd(aNumber,4));} function dec5(aNumber) {return (rnd(aNumber,5));} function rnd(aNumber,decimal_places) { if (isNaN(aNumber)) { return aNumber; } var mult = Math.pow(10,decimal_places); return (Math.round(aNumber*mult))/mult; } function compute_parallax() { var f = document.parallax_calculator; var pixels_per_degree = f.image_width_pixels.value/f.image_fov.value; var nodal_point_shift = f.nodal_point_offset.value * Math.sin((Math.PI/180) * f.rotate_angle.value); //convert offset to either meters or feet if (f.units.value.search(/meters/i) != -1) { nodal_point_shift = nodal_point_shift / 1000; } else { nodal_point_shift = nodal_point_shift / (25.4 * 12); } var theta1 = Math.atan(f.dist_to_near.value/nodal_point_shift); var theta2 = Math.atan(f.dist_to_far.value/nodal_point_shift); var angular_dist = (180/Math.PI) * Math.abs(theta2-theta1); //This isn't quite accurate for rectilinear lenses where one degree //gets spread over a varying amount of pixels depending on the //distance from the center...still, good enough for a rough estimate. var pixel_error = angular_dist * pixels_per_degree; f.angular_parallax_error.value = dec5(angular_dist); f.pixel_shift_parallax_error.value = dec1(pixel_error); } function compute_fov() { var film_width = 36; var film_height = 24; var film_diag; var f = document.fov_calculator; var flen = f.flen.value; var flen_mult = f.flen_mult.value; if (isNaN(flen_mult) || flen_mult<=0) { f.flen_mult = 1; flen_mult = 1; } //Account for focal length multiplier (actually, a film/sensor size multiplier) film_width = film_width/flen_mult; film_height = film_height/flen_mult; film_diag = (Math.sqrt((film_width * film_width) + (film_height * film_height))); var fov_h = (2 * Math.atan(film_width / (2 * flen)) * 180 / Math.PI); var fov_v = (2 * Math.atan(film_height / (2 * flen)) * 180 / Math.PI); var fov_d = (2 * Math.atan(film_diag / (2 * flen)) * 180 / Math.PI); f.fov_h.value = dec1(fov_h); f.fov_v.value = dec1(fov_v); f.fov_d.value = dec1(fov_d); } function compute_fov2() { var film_width = 36; var film_height = 24; var film_diag; var f = document.fov_calculator2; var flen = f.flen.value; var flen_mult = f.flen_mult.value; var subj_dist = f.subj_dist.value; if (isNaN(flen_mult) || flen_mult<=0) { f.flen_mult = 1; flen_mult = 1; } // convert distance to mm if (f.units.value.search(/feet/i) != -1) { //user input in feet subj_dist = subj_dist * feet_2_mm; } else { //user input in m subj_dist = subj_dist * 1000; } //Account for focal length multiplier (actually, a film/sensor size multiplier) film_width = film_width/flen_mult; film_height = film_height/flen_mult; film_diag = (Math.sqrt((film_width * film_width) + (film_height * film_height))); var half_fov_h = (Math.atan(film_width / (2 * flen))); var fov_h = 2 * (subj_dist * Math.tan(half_fov_h)); var half_fov_v = (Math.atan(film_height / (2 * flen))); var fov_v = 2 * (subj_dist * Math.tan(half_fov_v)); var half_fov_d = (Math.atan(film_diag / (2 * flen))); var fov_d = 2 * (subj_dist * Math.tan(half_fov_d)); //convert answer (currently in mm) back to feet fov_h = fov_h * mm_2_feet; fov_v = fov_v * mm_2_feet; fov_d = fov_d * mm_2_feet; if (f.units.value.search(/feet/i) != -1) { f.fov_h.value = feet_inches(fov_h); f.fov_v.value = feet_inches(fov_v); f.fov_d.value = feet_inches(fov_d); } else { f.fov_h.value = meters(fov_h); f.fov_v.value = meters(fov_v); f.fov_d.value = meters(fov_d); } } function compute_mosaic() { var f = document.mosaic_calculator; var fov_total = f.fov.value; var overlap = f.overlap.value; var flen_mult = f.flen_mult.value; var overlap_pct = overlap/100; // num_images * fov - (num_images - 1) * overlap% * fov = fov_total // (num_images - (num_images-1) * overlap%) * fov = fov_total // fov = fov_total / (num_images - (num_images-1) * overlap%) f.flen_1x1.value = dec1(compute_flen_for_fov(fov_total, flen_mult)); f.flen_2x2.value = dec1(compute_flen_for_fov(fov_total / (2-1*overlap_pct), flen_mult)); f.flen_3x3.value = dec1(compute_flen_for_fov(fov_total / (3-2*overlap_pct), flen_mult)); f.flen_4x4.value = dec1(compute_flen_for_fov(fov_total / (4-3*overlap_pct), flen_mult)); f.flen_5x5.value = dec1(compute_flen_for_fov(fov_total / (5-4*overlap_pct), flen_mult)); f.flen_6x6.value = dec1(compute_flen_for_fov(fov_total / (6-5*overlap_pct), flen_mult)); } function compute_flen_for_fov(fov, flen_mult) { var film_width=36; film_width = film_width / flen_mult; flen = (film_width / (2 * Math.tan(Math.PI * fov / 360))); return flen; } function compute_lens_equivalent() { var f = document.lens_equivalence_calculator; var w1 = f.sensor1_width.value; var h1 = f.sensor1_height.value; var w2 = f.sensor2_width.value; var h2 = f.sensor2_height.value; var diag1 = Math.sqrt((w1*w1) + (h1*h1)); var diag2 = Math.sqrt((w2*w2) + (h2*h2)); var flen1 = f.sensor1_flen.value; var fnum1 = f.sensor1_fnum.value; var flen2 = flen1 * (diag2/diag1); //if we were computing FOV we'd care about the values for CoC. But for //our purposes we only carea about the ratio of coc1 to coc2 var coc1 = 1; var coc2 = coc1 * (diag2/diag1); //Assume apertures are "equivalent" (in terms of their impact on DOF) //when hyperfocal distances are the same // Note: hyper_focal = (flen*flen)/(aperture*coc) var fnum2 = fnum1 * (coc1/coc2) * ((flen2*flen2) / (flen1*flen1)); f.sensor2_flen.value = dec1(flen2); f.sensor2_fnum.value = dec1(fnum2); }
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